%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP225_2 : 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 : n011.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 07:08:41 EDT 2024

% Result   : Theorem 59.09s 9.96s
% Output   : Refutation 59.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem    : ITP225_2 : TPTP v8.1.2. Released v8.0.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n011.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 19:01:38 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (11522)Running in auto input_syntax mode. Trying TPTP
% 1.51/1.69  % (11527)WARNING: value z3 for option sas not known
% 1.51/1.69  % (11526)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 1.51/1.69  % (11527)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)
% 1.51/1.69  % (11528)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 1.51/1.69  % (11525)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.51/1.69  % (11529)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)
% 1.51/1.69  % (11530)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)
% 1.51/1.69  % (11531)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)
% 6.17/2.38  % (11531)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.72/3.02  % Exception at run slice level
% 10.72/3.02  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 10.72/3.04  % (11532)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 16.05/3.78  % (11532)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.05/3.78  % Exception at run slice level
% 16.05/3.78  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 16.05/3.80  % (11535)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)
% 21.45/4.54  % (11535)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 57.27/9.71  % (11529)First to succeed.
% 59.09/9.94  % (11529)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11522"
% 59.09/9.96  % (11529)Refutation found. Thanks to Tanya!
% 59.09/9.96  % SZS status Theorem for theBenchmark
% 59.09/9.96  % SZS output start Proof for theBenchmark
% 59.09/9.96  tff(type_def_5, type, vEBT_VEBT: $tType).
% 59.09/9.96  tff(type_def_6, type, code_natural: $tType).
% 59.09/9.96  tff(type_def_7, type, code_integer: $tType).
% 59.09/9.96  tff(type_def_8, type, product_unit: $tType).
% 59.09/9.96  tff(type_def_9, type, product_prod: ($tType * $tType) > $tType).
% 59.09/9.96  tff(type_def_10, type, old_node: ($tType * $tType) > $tType).
% 59.09/9.96  tff(type_def_11, type, extended_enat: $tType).
% 59.09/9.96  tff(type_def_12, type, complex: $tType).
% 59.09/9.96  tff(type_def_13, type, literal: $tType).
% 59.09/9.96  tff(type_def_14, type, sum_sum: ($tType * $tType) > $tType).
% 59.09/9.96  tff(type_def_15, type, option: $tType > $tType).
% 59.09/9.96  tff(type_def_16, type, filter: $tType > $tType).
% 59.09/9.96  tff(type_def_17, type, char: $tType).
% 59.09/9.96  tff(type_def_18, type, real: $tType).
% 59.09/9.96  tff(type_def_19, type, list: $tType > $tType).
% 59.09/9.96  tff(type_def_20, type, bool: $tType).
% 59.09/9.96  tff(type_def_21, type, set: $tType > $tType).
% 59.09/9.96  tff(type_def_22, type, rat: $tType).
% 59.09/9.96  tff(type_def_23, type, num: $tType).
% 59.09/9.96  tff(type_def_24, type, nat: $tType).
% 59.09/9.96  tff(type_def_25, type, int: $tType).
% 59.09/9.96  tff(type_def_26, type, itself: $tType > $tType).
% 59.09/9.96  tff(type_def_27, type, fun: ($tType * $tType) > $tType).
% 59.09/9.96  tff(func_def_0, type, aTP_Lamp_a: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_1, type, aTP_Lamp_aa: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_2, type, aTP_Lamp_aaa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_3, type, aTP_Lamp_aab: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_4, type, aTP_Lamp_aac: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_5, type, aTP_Lamp_aad: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_6, type, aTP_Lamp_aae: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_7, type, aTP_Lamp_aaf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_8, type, aTP_Lamp_aag: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_9, type, aTP_Lamp_aah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_10, type, aTP_Lamp_aai: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_11, type, aTP_Lamp_aaj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_12, type, aTP_Lamp_aak: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_13, type, aTP_Lamp_aal: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_14, type, aTP_Lamp_aam: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_15, type, aTP_Lamp_aan: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_16, type, aTP_Lamp_aao: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_17, type, aTP_Lamp_aap: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_18, type, aTP_Lamp_aaq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_19, type, aTP_Lamp_aar: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_20, type, aTP_Lamp_aas: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_21, type, aTP_Lamp_aat: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_22, type, aTP_Lamp_aau: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_23, type, aTP_Lamp_aav: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_24, type, aTP_Lamp_aaw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_25, type, aTP_Lamp_aax: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_26, type, aTP_Lamp_aay: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_27, type, aTP_Lamp_aaz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_28, type, aTP_Lamp_ab: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_29, type, aTP_Lamp_aba: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_30, type, aTP_Lamp_abb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_31, type, aTP_Lamp_abc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_32, type, aTP_Lamp_abd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_33, type, aTP_Lamp_abe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_34, type, aTP_Lamp_abf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_35, type, aTP_Lamp_abg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_36, type, aTP_Lamp_abh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_37, type, aTP_Lamp_abi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_38, type, aTP_Lamp_abj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_39, type, aTP_Lamp_abk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_40, type, aTP_Lamp_abl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_41, type, aTP_Lamp_abm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_42, type, aTP_Lamp_abn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_43, type, aTP_Lamp_abo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_44, type, aTP_Lamp_abp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_45, type, aTP_Lamp_abq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_46, type, aTP_Lamp_abr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_47, type, aTP_Lamp_abs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_48, type, aTP_Lamp_abt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_49, type, aTP_Lamp_abu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_50, type, aTP_Lamp_abv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_51, type, aTP_Lamp_abw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_52, type, aTP_Lamp_abx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_53, type, aTP_Lamp_aby: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_54, type, aTP_Lamp_abz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_55, type, aTP_Lamp_ac: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_56, type, aTP_Lamp_aca: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_57, type, aTP_Lamp_acb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_58, type, aTP_Lamp_acc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_59, type, aTP_Lamp_acd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_60, type, aTP_Lamp_ace: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_61, type, aTP_Lamp_acf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_62, type, aTP_Lamp_acg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_63, type, aTP_Lamp_ach: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_64, type, aTP_Lamp_aci: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_65, type, aTP_Lamp_acj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_66, type, aTP_Lamp_ack: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_67, type, aTP_Lamp_acl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_68, type, aTP_Lamp_acm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_69, type, aTP_Lamp_acn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_70, type, aTP_Lamp_aco: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_71, type, aTP_Lamp_acp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_72, type, aTP_Lamp_acq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_73, type, aTP_Lamp_acr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_74, type, aTP_Lamp_acs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_75, type, aTP_Lamp_act: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_76, type, aTP_Lamp_acu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_77, type, aTP_Lamp_acv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_78, type, aTP_Lamp_acw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_79, type, aTP_Lamp_acx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_80, type, aTP_Lamp_acy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_81, type, aTP_Lamp_acz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_82, type, aTP_Lamp_ad: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_83, type, aTP_Lamp_ada: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_84, type, aTP_Lamp_adb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_85, type, aTP_Lamp_adc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_86, type, aTP_Lamp_add: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_87, type, aTP_Lamp_ade: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_88, type, aTP_Lamp_adf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_89, type, aTP_Lamp_adg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_90, type, aTP_Lamp_adh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_91, type, aTP_Lamp_adi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_92, type, aTP_Lamp_adj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_93, type, aTP_Lamp_adk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_94, type, aTP_Lamp_adl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_95, type, aTP_Lamp_adm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_96, type, aTP_Lamp_adn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_97, type, aTP_Lamp_ado: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_98, type, aTP_Lamp_adp: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_99, type, aTP_Lamp_adq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_100, type, aTP_Lamp_adr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_101, type, aTP_Lamp_ads: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_102, type, aTP_Lamp_adt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_103, type, aTP_Lamp_adu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_104, type, aTP_Lamp_adv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_105, type, aTP_Lamp_adw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_106, type, aTP_Lamp_adx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_107, type, aTP_Lamp_ady: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_108, type, aTP_Lamp_adz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_109, type, aTP_Lamp_ae: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_110, type, aTP_Lamp_aea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_111, type, aTP_Lamp_aeb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_112, type, aTP_Lamp_aec: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_113, type, aTP_Lamp_aed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_114, type, aTP_Lamp_aee: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_115, type, aTP_Lamp_aef: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_116, type, aTP_Lamp_aeg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_117, type, aTP_Lamp_aeh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_118, type, aTP_Lamp_aei: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_119, type, aTP_Lamp_aej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_120, type, aTP_Lamp_aek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_121, type, aTP_Lamp_ael: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_122, type, aTP_Lamp_aem: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_123, type, aTP_Lamp_aen: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_124, type, aTP_Lamp_aeo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_125, type, aTP_Lamp_aep: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_126, type, aTP_Lamp_aeq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_127, type, aTP_Lamp_aer: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_128, type, aTP_Lamp_aes: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_129, type, aTP_Lamp_aet: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_130, type, aTP_Lamp_aeu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_131, type, aTP_Lamp_aev: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_132, type, aTP_Lamp_aew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_133, type, aTP_Lamp_aex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_134, type, aTP_Lamp_aey: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_135, type, aTP_Lamp_aez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_136, type, aTP_Lamp_af: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_137, type, aTP_Lamp_afa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_138, type, aTP_Lamp_afb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_139, type, aTP_Lamp_afc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_140, type, aTP_Lamp_afd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_141, type, aTP_Lamp_afe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_142, type, aTP_Lamp_aff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_143, type, aTP_Lamp_afg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_144, type, aTP_Lamp_afh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_145, type, aTP_Lamp_afi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_146, type, aTP_Lamp_afj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_147, type, aTP_Lamp_afk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_148, type, aTP_Lamp_afl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_149, type, aTP_Lamp_afm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_150, type, aTP_Lamp_afn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_151, type, aTP_Lamp_afo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_152, type, aTP_Lamp_afp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_153, type, aTP_Lamp_afq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_154, type, aTP_Lamp_afr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_155, type, aTP_Lamp_afs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_156, type, aTP_Lamp_aft: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_157, type, aTP_Lamp_afu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_158, type, aTP_Lamp_afv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_159, type, aTP_Lamp_afw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_160, type, aTP_Lamp_afx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_161, type, aTP_Lamp_afy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_162, type, aTP_Lamp_afz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_163, type, aTP_Lamp_ag: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_164, type, aTP_Lamp_aga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_165, type, aTP_Lamp_agb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_166, type, aTP_Lamp_agc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_167, type, aTP_Lamp_agd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_168, type, aTP_Lamp_age: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_169, type, aTP_Lamp_agf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_170, type, aTP_Lamp_agg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_171, type, aTP_Lamp_agh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_172, type, aTP_Lamp_agi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_173, type, aTP_Lamp_agj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_174, type, aTP_Lamp_agk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_175, type, aTP_Lamp_agl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_176, type, aTP_Lamp_agm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_177, type, aTP_Lamp_agn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_178, type, aTP_Lamp_ago: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_179, type, aTP_Lamp_agp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_180, type, aTP_Lamp_agq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_181, type, aTP_Lamp_agr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_182, type, aTP_Lamp_ags: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_183, type, aTP_Lamp_agt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_184, type, aTP_Lamp_agu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_185, type, aTP_Lamp_agv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_186, type, aTP_Lamp_agw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_187, type, aTP_Lamp_agx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_188, type, aTP_Lamp_agy: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_189, type, aTP_Lamp_agz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_190, type, aTP_Lamp_ah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_191, type, aTP_Lamp_aha: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_192, type, aTP_Lamp_ahb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_193, type, aTP_Lamp_ahc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_194, type, aTP_Lamp_ai: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_195, type, aTP_Lamp_aj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_196, type, aTP_Lamp_ak: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_197, type, aTP_Lamp_al: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_198, type, aTP_Lamp_am: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_199, type, aTP_Lamp_an: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_200, type, aTP_Lamp_ao: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_201, type, aTP_Lamp_ap: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_202, type, aTP_Lamp_aq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_203, type, aTP_Lamp_ar: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_204, type, aTP_Lamp_as: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_205, type, aTP_Lamp_at: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_206, type, aTP_Lamp_au: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_207, type, aTP_Lamp_av: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_208, type, aTP_Lamp_aw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_209, type, aTP_Lamp_ax: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_210, type, aTP_Lamp_ay: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_211, type, aTP_Lamp_az: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_212, type, aTP_Lamp_ba: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_213, type, aTP_Lamp_bb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_214, type, aTP_Lamp_bc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_215, type, aTP_Lamp_bd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_216, type, aTP_Lamp_be: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_217, type, aTP_Lamp_bf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_218, type, aTP_Lamp_bg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_219, type, aTP_Lamp_bh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_220, type, aTP_Lamp_bi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_221, type, aTP_Lamp_bj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_222, type, aTP_Lamp_bk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_223, type, aTP_Lamp_bl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_224, type, aTP_Lamp_bm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_225, type, aTP_Lamp_bn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_226, type, aTP_Lamp_bo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_227, type, aTP_Lamp_bp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_228, type, aTP_Lamp_bq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_229, type, aTP_Lamp_br: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_230, type, aTP_Lamp_bs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_231, type, aTP_Lamp_bt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_232, type, aTP_Lamp_bu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_233, type, aTP_Lamp_bv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_234, type, aTP_Lamp_bw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_235, type, aTP_Lamp_bx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_236, type, aTP_Lamp_by: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_237, type, aTP_Lamp_bz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_238, type, aTP_Lamp_ca: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_239, type, aTP_Lamp_cb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_240, type, aTP_Lamp_cc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_241, type, aTP_Lamp_cd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_242, type, aTP_Lamp_ce: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_243, type, aTP_Lamp_cf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_244, type, aTP_Lamp_cg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_245, type, aTP_Lamp_ch: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_246, type, aTP_Lamp_ci: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_247, type, aTP_Lamp_cj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_248, type, aTP_Lamp_ck: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_249, type, aTP_Lamp_cl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_250, type, aTP_Lamp_cm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_251, type, aTP_Lamp_cn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_252, type, aTP_Lamp_co: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_253, type, aTP_Lamp_cp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_254, type, aTP_Lamp_cq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_255, type, aTP_Lamp_cr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_256, type, aTP_Lamp_cs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_257, type, aTP_Lamp_ct: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_258, type, aTP_Lamp_cu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_259, type, aTP_Lamp_cv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_260, type, aTP_Lamp_cw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_261, type, aTP_Lamp_cx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_262, type, aTP_Lamp_cy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_263, type, aTP_Lamp_cz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_264, type, aTP_Lamp_da: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_265, type, aTP_Lamp_db: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_266, type, aTP_Lamp_dc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_267, type, aTP_Lamp_dd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_268, type, aTP_Lamp_de: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_269, type, aTP_Lamp_df: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_270, type, aTP_Lamp_dg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_271, type, aTP_Lamp_dh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_272, type, aTP_Lamp_di: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_273, type, aTP_Lamp_dj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_274, type, aTP_Lamp_dk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_275, type, aTP_Lamp_dl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_276, type, aTP_Lamp_dm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_277, type, aTP_Lamp_dn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_278, type, aTP_Lamp_do: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_279, type, aTP_Lamp_dp: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_280, type, aTP_Lamp_dq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_281, type, aTP_Lamp_dr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_282, type, aTP_Lamp_ds: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_283, type, aTP_Lamp_dt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_284, type, aTP_Lamp_du: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_285, type, aTP_Lamp_dv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_286, type, aTP_Lamp_dw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_287, type, aTP_Lamp_dx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_288, type, aTP_Lamp_dy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_289, type, aTP_Lamp_dz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_290, type, aTP_Lamp_ea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_291, type, aTP_Lamp_eb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_292, type, aTP_Lamp_ec: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_293, type, aTP_Lamp_ed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_294, type, aTP_Lamp_ee: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_295, type, aTP_Lamp_ef: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_296, type, aTP_Lamp_eg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_297, type, aTP_Lamp_eh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_298, type, aTP_Lamp_ei: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_299, type, aTP_Lamp_ej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_300, type, aTP_Lamp_ek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_301, type, aTP_Lamp_el: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_302, type, aTP_Lamp_em: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_303, type, aTP_Lamp_en: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_304, type, aTP_Lamp_eo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_305, type, aTP_Lamp_ep: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_306, type, aTP_Lamp_eq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_307, type, aTP_Lamp_er: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_308, type, aTP_Lamp_es: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_309, type, aTP_Lamp_et: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_310, type, aTP_Lamp_eu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_311, type, aTP_Lamp_ev: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_312, type, aTP_Lamp_ew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_313, type, aTP_Lamp_ex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_314, type, aTP_Lamp_ey: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_315, type, aTP_Lamp_ez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_316, type, aTP_Lamp_fa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_317, type, aTP_Lamp_fb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_318, type, aTP_Lamp_fc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_319, type, aTP_Lamp_fd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_320, type, aTP_Lamp_fe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_321, type, aTP_Lamp_ff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_322, type, aTP_Lamp_fg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_323, type, aTP_Lamp_fh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_324, type, aTP_Lamp_fi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_325, type, aTP_Lamp_fj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_326, type, aTP_Lamp_fk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_327, type, aTP_Lamp_fl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_328, type, aTP_Lamp_fm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_329, type, aTP_Lamp_fn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_330, type, aTP_Lamp_fo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_331, type, aTP_Lamp_fp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_332, type, aTP_Lamp_fq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_333, type, aTP_Lamp_fr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_334, type, aTP_Lamp_fs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_335, type, aTP_Lamp_ft: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_336, type, aTP_Lamp_fu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_337, type, aTP_Lamp_fv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_338, type, aTP_Lamp_fw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_339, type, aTP_Lamp_fx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_340, type, aTP_Lamp_fy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_341, type, aTP_Lamp_fz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_342, type, aTP_Lamp_ga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_343, type, aTP_Lamp_gb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_344, type, aTP_Lamp_gc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_345, type, aTP_Lamp_gd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_346, type, aTP_Lamp_ge: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_347, type, aTP_Lamp_gf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_348, type, aTP_Lamp_gg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_349, type, aTP_Lamp_gh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_350, type, aTP_Lamp_gi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_351, type, aTP_Lamp_gj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_352, type, aTP_Lamp_gk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_353, type, aTP_Lamp_gl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_354, type, aTP_Lamp_gm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_355, type, aTP_Lamp_gn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_356, type, aTP_Lamp_go: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_357, type, aTP_Lamp_gp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_358, type, aTP_Lamp_gq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_359, type, aTP_Lamp_gr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_360, type, aTP_Lamp_gs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_361, type, aTP_Lamp_gt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_362, type, aTP_Lamp_gu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_363, type, aTP_Lamp_gv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_364, type, aTP_Lamp_gw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_365, type, aTP_Lamp_gx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_366, type, aTP_Lamp_gy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_367, type, aTP_Lamp_gz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_368, type, aTP_Lamp_ha: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_369, type, aTP_Lamp_hb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_370, type, aTP_Lamp_hc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_371, type, aTP_Lamp_hd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_372, type, aTP_Lamp_he: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_373, type, aTP_Lamp_hf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_374, type, aTP_Lamp_hg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_375, type, aTP_Lamp_hh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_376, type, aTP_Lamp_hi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_377, type, aTP_Lamp_hj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_378, type, aTP_Lamp_hk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_379, type, aTP_Lamp_hl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_380, type, aTP_Lamp_hm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_381, type, aTP_Lamp_hn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_382, type, aTP_Lamp_ho: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_383, type, aTP_Lamp_hp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_384, type, aTP_Lamp_hq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_385, type, aTP_Lamp_hr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_386, type, aTP_Lamp_hs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_387, type, aTP_Lamp_ht: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_388, type, aTP_Lamp_hu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_389, type, aTP_Lamp_hv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_390, type, aTP_Lamp_hw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_391, type, aTP_Lamp_hx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_392, type, aTP_Lamp_hy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_393, type, aTP_Lamp_hz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_394, type, aTP_Lamp_ia: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_395, type, aTP_Lamp_ib: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_396, type, aTP_Lamp_ic: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_397, type, aTP_Lamp_id: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_398, type, aTP_Lamp_ie: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_399, type, aTP_Lamp_if: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_400, type, aTP_Lamp_ig: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_401, type, aTP_Lamp_ih: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_402, type, aTP_Lamp_ii: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_403, type, aTP_Lamp_ij: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_404, type, aTP_Lamp_ik: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_405, type, aTP_Lamp_il: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_406, type, aTP_Lamp_im: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_407, type, aTP_Lamp_in: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_408, type, aTP_Lamp_io: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_409, type, aTP_Lamp_ip: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_410, type, aTP_Lamp_iq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_411, type, aTP_Lamp_ir: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_412, type, aTP_Lamp_is: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_413, type, aTP_Lamp_it: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_414, type, aTP_Lamp_iu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_415, type, aTP_Lamp_iv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_416, type, aTP_Lamp_iw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_417, type, aTP_Lamp_ix: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_418, type, aTP_Lamp_iy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_419, type, aTP_Lamp_iz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_420, type, aTP_Lamp_ja: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_421, type, aTP_Lamp_jb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_422, type, aTP_Lamp_jc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_423, type, aTP_Lamp_jd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_424, type, aTP_Lamp_je: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_425, type, aTP_Lamp_jf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_426, type, aTP_Lamp_jg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_427, type, aTP_Lamp_jh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_428, type, aTP_Lamp_ji: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_429, type, aTP_Lamp_jj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_430, type, aTP_Lamp_jk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_431, type, aTP_Lamp_jl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_432, type, aTP_Lamp_jm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_433, type, aTP_Lamp_jn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_434, type, aTP_Lamp_jo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_435, type, aTP_Lamp_jp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_436, type, aTP_Lamp_jq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_437, type, aTP_Lamp_jr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_438, type, aTP_Lamp_js: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_439, type, aTP_Lamp_jt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_440, type, aTP_Lamp_ju: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_441, type, aTP_Lamp_jv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_442, type, aTP_Lamp_jw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_443, type, aTP_Lamp_jx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_444, type, aTP_Lamp_jy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_445, type, aTP_Lamp_jz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_446, type, aTP_Lamp_ka: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_447, type, aTP_Lamp_kb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_448, type, aTP_Lamp_kc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_449, type, aTP_Lamp_kd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_450, type, aTP_Lamp_ke: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_451, type, aTP_Lamp_kf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_452, type, aTP_Lamp_kg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_453, type, aTP_Lamp_kh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_454, type, aTP_Lamp_ki: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_455, type, aTP_Lamp_kj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_456, type, aTP_Lamp_kk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_457, type, aTP_Lamp_kl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_458, type, aTP_Lamp_km: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_459, type, aTP_Lamp_kn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_460, type, aTP_Lamp_ko: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_461, type, aTP_Lamp_kp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_462, type, aTP_Lamp_kq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_463, type, aTP_Lamp_kr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_464, type, aTP_Lamp_ks: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_465, type, aTP_Lamp_kt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_466, type, aTP_Lamp_ku: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_467, type, aTP_Lamp_kv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_468, type, aTP_Lamp_kw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_469, type, aTP_Lamp_kx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_470, type, aTP_Lamp_ky: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_471, type, aTP_Lamp_kz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_472, type, aTP_Lamp_la: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_473, type, aTP_Lamp_lb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_474, type, aTP_Lamp_lc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_475, type, aTP_Lamp_ld: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_476, type, aTP_Lamp_le: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_477, type, aTP_Lamp_lf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_478, type, aTP_Lamp_lg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_479, type, aTP_Lamp_lh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_480, type, aTP_Lamp_li: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_481, type, aTP_Lamp_lj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_482, type, aTP_Lamp_lk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_483, type, aTP_Lamp_ll: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_484, type, aTP_Lamp_lm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_485, type, aTP_Lamp_ln: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_486, type, aTP_Lamp_lo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_487, type, aTP_Lamp_lp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_488, type, aTP_Lamp_lq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_489, type, aTP_Lamp_lr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_490, type, aTP_Lamp_ls: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_491, type, aTP_Lamp_lt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_492, type, aTP_Lamp_lu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_493, type, aTP_Lamp_lv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_494, type, aTP_Lamp_lw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_495, type, aTP_Lamp_lx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_496, type, aTP_Lamp_ly: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_497, type, aTP_Lamp_lz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_498, type, aTP_Lamp_ma: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_499, type, aTP_Lamp_mb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_500, type, aTP_Lamp_mc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_501, type, aTP_Lamp_md: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_502, type, aTP_Lamp_me: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_503, type, aTP_Lamp_mf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_504, type, aTP_Lamp_mg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_505, type, aTP_Lamp_mh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_506, type, aTP_Lamp_mi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_507, type, aTP_Lamp_mj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_508, type, aTP_Lamp_mk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_509, type, aTP_Lamp_ml: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_510, type, aTP_Lamp_mm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_511, type, aTP_Lamp_mn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_512, type, aTP_Lamp_mo: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_513, type, aTP_Lamp_mp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_514, type, aTP_Lamp_mq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_515, type, aTP_Lamp_mr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_516, type, aTP_Lamp_ms: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_517, type, aTP_Lamp_mt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_518, type, aTP_Lamp_mu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_519, type, aTP_Lamp_mv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_520, type, aTP_Lamp_mw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_521, type, aTP_Lamp_mx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_522, type, aTP_Lamp_my: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_523, type, aTP_Lamp_mz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_524, type, aTP_Lamp_na: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_525, type, aTP_Lamp_nb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_526, type, aTP_Lamp_nc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_527, type, aTP_Lamp_nd: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_528, type, aTP_Lamp_ne: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_529, type, aTP_Lamp_nf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_530, type, aTP_Lamp_ng: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_531, type, aTP_Lamp_nh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_532, type, aTP_Lamp_ni: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_533, type, aTP_Lamp_nj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_534, type, aTP_Lamp_nk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_535, type, aTP_Lamp_nl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_536, type, aTP_Lamp_nm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_537, type, aTP_Lamp_nn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_538, type, aTP_Lamp_no: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_539, type, aTP_Lamp_np: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_540, type, aTP_Lamp_nq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_541, type, aTP_Lamp_nr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_542, type, aTP_Lamp_ns: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_543, type, aTP_Lamp_nt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_544, type, aTP_Lamp_nu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_545, type, aTP_Lamp_nv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_546, type, aTP_Lamp_nw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_547, type, aTP_Lamp_nx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_548, type, aTP_Lamp_ny: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_549, type, aTP_Lamp_nz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_550, type, aTP_Lamp_oa: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_551, type, aTP_Lamp_ob: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_552, type, aTP_Lamp_oc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_553, type, aTP_Lamp_od: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_554, type, aTP_Lamp_oe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_555, type, aTP_Lamp_of: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_556, type, aTP_Lamp_og: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_557, type, aTP_Lamp_oh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_558, type, aTP_Lamp_oi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_559, type, aTP_Lamp_oj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_560, type, aTP_Lamp_ok: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_561, type, aTP_Lamp_ol: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_562, type, aTP_Lamp_om: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_563, type, aTP_Lamp_on: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_564, type, aTP_Lamp_oo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_565, type, aTP_Lamp_op: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_566, type, aTP_Lamp_oq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_567, type, aTP_Lamp_or: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_568, type, aTP_Lamp_os: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_569, type, aTP_Lamp_ot: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_570, type, aTP_Lamp_ou: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_571, type, aTP_Lamp_ov: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_572, type, aTP_Lamp_ow: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_573, type, aTP_Lamp_ox: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_574, type, aTP_Lamp_oy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_575, type, aTP_Lamp_oz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_576, type, aTP_Lamp_pa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_577, type, aTP_Lamp_pb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_578, type, aTP_Lamp_pc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_579, type, aTP_Lamp_pd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_580, type, aTP_Lamp_pe: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_581, type, aTP_Lamp_pf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_582, type, aTP_Lamp_pg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_583, type, aTP_Lamp_ph: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_584, type, aTP_Lamp_pi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_585, type, aTP_Lamp_pj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_586, type, aTP_Lamp_pk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_587, type, aTP_Lamp_pl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_588, type, aTP_Lamp_pm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_589, type, aTP_Lamp_pn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_590, type, aTP_Lamp_po: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_591, type, aTP_Lamp_pp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_592, type, aTP_Lamp_pq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_593, type, aTP_Lamp_pr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_594, type, aTP_Lamp_ps: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_595, type, aTP_Lamp_pt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_596, type, aTP_Lamp_pu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_597, type, aTP_Lamp_pv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_598, type, aTP_Lamp_pw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_599, type, aTP_Lamp_px: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_600, type, aTP_Lamp_py: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_601, type, aTP_Lamp_pz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_602, type, aTP_Lamp_qa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_603, type, aTP_Lamp_qb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_604, type, aTP_Lamp_qc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_605, type, aTP_Lamp_qd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_606, type, aTP_Lamp_qe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_607, type, aTP_Lamp_qf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_608, type, aTP_Lamp_qg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_609, type, aTP_Lamp_qh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_610, type, aTP_Lamp_qi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_611, type, aTP_Lamp_qj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_612, type, aTP_Lamp_qk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_613, type, aTP_Lamp_ql: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_614, type, aTP_Lamp_qm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_615, type, aTP_Lamp_qn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_616, type, aTP_Lamp_qo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_617, type, aTP_Lamp_qp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_618, type, aTP_Lamp_qq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_619, type, aTP_Lamp_qr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_620, type, aTP_Lamp_qs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_621, type, aTP_Lamp_qt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_622, type, aTP_Lamp_qu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_623, type, aTP_Lamp_qv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_624, type, aTP_Lamp_qw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_625, type, aTP_Lamp_qx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_626, type, aTP_Lamp_qy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_627, type, aTP_Lamp_qz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_628, type, aTP_Lamp_ra: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_629, type, aTP_Lamp_rb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_630, type, aTP_Lamp_rc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_631, type, aTP_Lamp_rd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_632, type, aTP_Lamp_re: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_633, type, aTP_Lamp_rf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_634, type, aTP_Lamp_rg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_635, type, aTP_Lamp_rh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_636, type, aTP_Lamp_ri: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_637, type, aTP_Lamp_rj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_638, type, aTP_Lamp_rk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_639, type, aTP_Lamp_rl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_640, type, aTP_Lamp_rm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_641, type, aTP_Lamp_rn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_642, type, aTP_Lamp_ro: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_643, type, aTP_Lamp_rp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_644, type, aTP_Lamp_rq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_645, type, aTP_Lamp_rr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_646, type, aTP_Lamp_rs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_647, type, aTP_Lamp_rt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_648, type, aTP_Lamp_ru: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_649, type, aTP_Lamp_rv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_650, type, aTP_Lamp_rw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_651, type, aTP_Lamp_rx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_652, type, aTP_Lamp_ry: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_653, type, aTP_Lamp_rz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_654, type, aTP_Lamp_sa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_655, type, aTP_Lamp_sb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_656, type, aTP_Lamp_sc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_657, type, aTP_Lamp_sd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_658, type, aTP_Lamp_se: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_659, type, aTP_Lamp_sf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_660, type, aTP_Lamp_sg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_661, type, aTP_Lamp_sh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_662, type, aTP_Lamp_si: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_663, type, aTP_Lamp_sj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_664, type, aTP_Lamp_sk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_665, type, aTP_Lamp_sl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_666, type, aTP_Lamp_sm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_667, type, aTP_Lamp_sn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_668, type, aTP_Lamp_so: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_669, type, aTP_Lamp_sp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_670, type, aTP_Lamp_sq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_671, type, aTP_Lamp_sr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_672, type, aTP_Lamp_ss: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_673, type, aTP_Lamp_st: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_674, type, aTP_Lamp_su: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_675, type, aTP_Lamp_sv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_676, type, aTP_Lamp_sw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_677, type, aTP_Lamp_sx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_678, type, aTP_Lamp_sy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_679, type, aTP_Lamp_sz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_680, type, aTP_Lamp_ta: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_681, type, aTP_Lamp_tb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_682, type, aTP_Lamp_tc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_683, type, aTP_Lamp_td: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_684, type, aTP_Lamp_te: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_685, type, aTP_Lamp_tf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_686, type, aTP_Lamp_tg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_687, type, aTP_Lamp_th: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_688, type, aTP_Lamp_ti: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_689, type, aTP_Lamp_tj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_690, type, aTP_Lamp_tk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_691, type, aTP_Lamp_tl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_692, type, aTP_Lamp_tm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_693, type, aTP_Lamp_tn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_694, type, aTP_Lamp_to: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_695, type, aTP_Lamp_tp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_696, type, aTP_Lamp_tq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_697, type, aTP_Lamp_tr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_698, type, aTP_Lamp_ts: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_699, type, aTP_Lamp_tt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_700, type, aTP_Lamp_tu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_701, type, aTP_Lamp_tv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_702, type, aTP_Lamp_tw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_703, type, aTP_Lamp_tx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_704, type, aTP_Lamp_ty: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_705, type, aTP_Lamp_tz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_706, type, aTP_Lamp_ua: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_707, type, aTP_Lamp_ub: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_708, type, aTP_Lamp_uc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_709, type, aTP_Lamp_ud: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_710, type, aTP_Lamp_ue: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_711, type, aTP_Lamp_uf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_712, type, aTP_Lamp_ug: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_713, type, aTP_Lamp_uh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_714, type, aTP_Lamp_ui: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_715, type, aTP_Lamp_uj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_716, type, aTP_Lamp_uk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_717, type, aTP_Lamp_ul: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_718, type, aTP_Lamp_um: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_719, type, aTP_Lamp_un: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_720, type, aTP_Lamp_uo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_721, type, aTP_Lamp_up: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_722, type, aTP_Lamp_uq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_723, type, aTP_Lamp_ur: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_724, type, aTP_Lamp_us: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_725, type, aTP_Lamp_ut: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_726, type, aTP_Lamp_uu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_727, type, aTP_Lamp_uv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_728, type, aTP_Lamp_uw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_729, type, aTP_Lamp_ux: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_730, type, aTP_Lamp_uy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_731, type, aTP_Lamp_uz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_732, type, aTP_Lamp_va: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_733, type, aTP_Lamp_vb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_734, type, aTP_Lamp_vc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_735, type, aTP_Lamp_vd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_736, type, aTP_Lamp_ve: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_737, type, aTP_Lamp_vf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_738, type, aTP_Lamp_vg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_739, type, aTP_Lamp_vh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_740, type, aTP_Lamp_vi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_741, type, aTP_Lamp_vj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_742, type, aTP_Lamp_vk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_743, type, aTP_Lamp_vl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_744, type, aTP_Lamp_vm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_745, type, aTP_Lamp_vn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_746, type, aTP_Lamp_vo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_747, type, aTP_Lamp_vp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_748, type, aTP_Lamp_vq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_749, type, aTP_Lamp_vr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_750, type, aTP_Lamp_vs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_751, type, aTP_Lamp_vt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_752, type, aTP_Lamp_vu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_753, type, aTP_Lamp_vv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_754, type, aTP_Lamp_vw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_755, type, aTP_Lamp_vx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_756, type, aTP_Lamp_vy: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_757, type, aTP_Lamp_vz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_758, type, aTP_Lamp_wa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_759, type, aTP_Lamp_wb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_760, type, aTP_Lamp_wc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_761, type, aTP_Lamp_wd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_762, type, aTP_Lamp_we: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_763, type, aTP_Lamp_wf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_764, type, aTP_Lamp_wg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_765, type, aTP_Lamp_wh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_766, type, aTP_Lamp_wi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_767, type, aTP_Lamp_wj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_768, type, aTP_Lamp_wk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_769, type, aTP_Lamp_wl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_770, type, aTP_Lamp_wm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_771, type, aTP_Lamp_wn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_772, type, aTP_Lamp_wo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_773, type, aTP_Lamp_wp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_774, type, aTP_Lamp_wq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_775, type, aTP_Lamp_wr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_776, type, aTP_Lamp_ws: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_777, type, aTP_Lamp_wt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_778, type, aTP_Lamp_wu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_779, type, aTP_Lamp_wv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_780, type, aTP_Lamp_ww: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_781, type, aTP_Lamp_wx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_782, type, aTP_Lamp_wy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_783, type, aTP_Lamp_wz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_784, type, aTP_Lamp_xa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_785, type, aTP_Lamp_xb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_786, type, aTP_Lamp_xc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_787, type, aTP_Lamp_xd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_788, type, aTP_Lamp_xe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_789, type, aTP_Lamp_xf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_790, type, aTP_Lamp_xg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_791, type, aTP_Lamp_xh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_792, type, aTP_Lamp_xi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_793, type, aTP_Lamp_xj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_794, type, aTP_Lamp_xk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_795, type, aTP_Lamp_xl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_796, type, aTP_Lamp_xm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_797, type, aTP_Lamp_xn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_798, type, aTP_Lamp_xo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_799, type, aTP_Lamp_xp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_800, type, aTP_Lamp_xq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_801, type, aTP_Lamp_xr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_802, type, aTP_Lamp_xs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_803, type, aTP_Lamp_xt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_804, type, aTP_Lamp_xu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_805, type, aTP_Lamp_xv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_806, type, aTP_Lamp_xw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_807, type, aTP_Lamp_xx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_808, type, aTP_Lamp_xy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_809, type, aTP_Lamp_xz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_810, type, aTP_Lamp_ya: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_811, type, aTP_Lamp_yb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_812, type, aTP_Lamp_yc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_813, type, aTP_Lamp_yd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_814, type, aTP_Lamp_ye: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_815, type, aTP_Lamp_yf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_816, type, aTP_Lamp_yg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_817, type, aTP_Lamp_yh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_818, type, aTP_Lamp_yi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_819, type, aTP_Lamp_yj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_820, type, aTP_Lamp_yk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_821, type, aTP_Lamp_yl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_822, type, aTP_Lamp_ym: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_823, type, aTP_Lamp_yn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_824, type, aTP_Lamp_yo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_825, type, aTP_Lamp_yp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_826, type, aTP_Lamp_yq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_827, type, aTP_Lamp_yr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_828, type, aTP_Lamp_ys: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_829, type, aTP_Lamp_yt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_830, type, aTP_Lamp_yu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_831, type, aTP_Lamp_yv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_832, type, aTP_Lamp_yw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_833, type, aTP_Lamp_yx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_834, type, aTP_Lamp_yy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_835, type, aTP_Lamp_yz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_836, type, aTP_Lamp_za: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_837, type, aTP_Lamp_zb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_838, type, aTP_Lamp_zc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_839, type, aTP_Lamp_zd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_840, type, aTP_Lamp_ze: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_841, type, aTP_Lamp_zf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_842, type, aTP_Lamp_zg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_843, type, aTP_Lamp_zh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_844, type, aTP_Lamp_zi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_845, type, aTP_Lamp_zj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_846, type, aTP_Lamp_zk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_847, type, aTP_Lamp_zl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_848, type, aTP_Lamp_zm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_849, type, aTP_Lamp_zn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_850, type, aTP_Lamp_zo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_851, type, aTP_Lamp_zp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_852, type, aTP_Lamp_zq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_853, type, aTP_Lamp_zr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 59.09/9.96  tff(func_def_854, type, aTP_Lamp_zs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_855, type, aTP_Lamp_zt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_856, type, aTP_Lamp_zu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_857, type, aTP_Lamp_zv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_858, type, aTP_Lamp_zw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_859, type, aTP_Lamp_zx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_860, type, aTP_Lamp_zy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_861, type, aTP_Lamp_zz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 59.09/9.96  tff(func_def_862, type, archimedean_ceiling: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_863, type, archim6421214686448440834_floor: !>[X0: $tType]:(fun(X0,int))).
% 59.09/9.96  tff(func_def_864, type, archimedean_frac: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_865, type, archimedean_round: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_866, type, bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_867, type, bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_868, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,fun(X1,bool)) * fun(X2,fun(X3,bool))) > fun(fun(X0,X2),fun(fun(X1,X3),bool)))).
% 59.09/9.96  tff(func_def_869, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:((fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1)) > nat)).
% 59.09/9.96  tff(func_def_870, type, basic_BNF_size_sum: !>[X0: $tType, X1: $tType]:((fun(X0,nat) * fun(X1,nat) * sum_sum(X0,X1)) > nat)).
% 59.09/9.96  tff(func_def_871, type, basic_rel_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,fun(X1,bool)) * fun(X2,fun(X3,bool))) > fun(product_prod(X0,X2),fun(product_prod(X1,X3),bool)))).
% 59.09/9.96  tff(func_def_872, type, binomial: nat > fun(nat,nat)).
% 59.09/9.96  tff(func_def_873, type, gbinomial: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_874, type, bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool))).
% 59.09/9.96  tff(func_def_875, type, bit_and_not_num: (num * num) > option(num)).
% 59.09/9.96  tff(func_def_876, type, bit_concat_bit: (nat * int * int) > int).
% 59.09/9.96  tff(func_def_877, type, bit_or_not_num_neg: (num * num) > num).
% 59.09/9.96  tff(func_def_878, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_879, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 59.09/9.96  tff(func_def_880, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_881, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 59.09/9.96  tff(func_def_882, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 59.09/9.96  tff(func_def_883, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat) > X0)).
% 59.09/9.96  tff(func_def_884, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_885, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 59.09/9.96  tff(func_def_886, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 59.09/9.96  tff(func_def_887, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 59.09/9.96  tff(func_def_888, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 59.09/9.96  tff(func_def_889, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_890, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0) > fun(nat,bool))).
% 59.09/9.96  tff(func_def_891, type, bit_se6407376104438227557le_bit: !>[X0: $tType]:((itself(X0) * nat) > bool)).
% 59.09/9.96  tff(func_def_892, type, bit_take_bit_num: (nat * num) > option(num)).
% 59.09/9.96  tff(func_def_893, type, bit_un7362597486090784418nd_num: (num * num) > option(num)).
% 59.09/9.96  tff(func_def_894, type, bit_un2480387367778600638or_num: (num * num) > option(num)).
% 59.09/9.96  tff(func_def_895, type, combb: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1) * fun(X2,X0)) > fun(X2,X1))).
% 59.09/9.96  tff(func_def_896, type, combc: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * X1) > fun(X0,X2))).
% 59.09/9.96  tff(func_def_897, type, combs: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * fun(X0,X1)) > fun(X0,X2))).
% 59.09/9.96  tff(func_def_898, type, code_Nat: fun(code_integer,code_natural)).
% 59.09/9.96  tff(func_def_899, type, code_Suc: fun(code_natural,code_natural)).
% 59.09/9.96  tff(func_def_900, type, code_bit_cut_integer: code_integer > product_prod(code_integer,bool)).
% 59.09/9.96  tff(func_def_901, type, code_divmod_abs: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 59.09/9.96  tff(func_def_902, type, code_divmod_integer: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 59.09/9.96  tff(func_def_903, type, code_dup: fun(code_integer,code_integer)).
% 59.09/9.96  tff(func_def_904, type, code_int_of_integer: fun(code_integer,int)).
% 59.09/9.96  tff(func_def_905, type, code_integer_of_int: fun(int,code_integer)).
% 59.09/9.96  tff(func_def_906, type, code_integer_of_nat: fun(nat,code_integer)).
% 59.09/9.96  tff(func_def_907, type, code_i5400310926305786745atural: fun(code_natural,code_integer)).
% 59.09/9.96  tff(func_def_908, type, code_integer_of_num: num > code_integer).
% 59.09/9.96  tff(func_def_909, type, code_nat_of_integer: fun(code_integer,nat)).
% 59.09/9.96  tff(func_def_910, type, code_nat_of_natural: fun(code_natural,nat)).
% 59.09/9.96  tff(func_def_911, type, code_natural_of_nat: fun(nat,code_natural)).
% 59.09/9.96  tff(func_def_912, type, code_n4118661773612635043nteger: fun(code_integer,code_natural)).
% 59.09/9.96  tff(func_def_913, type, code_negative: fun(num,code_integer)).
% 59.09/9.96  tff(func_def_914, type, code_num_of_integer: fun(code_integer,num)).
% 59.09/9.96  tff(func_def_915, type, code_pcr_integer: fun(int,fun(code_integer,bool))).
% 59.09/9.96  tff(func_def_916, type, code_pcr_natural: fun(nat,fun(code_natural,bool))).
% 59.09/9.96  tff(func_def_917, type, code_sub: fun(num,fun(num,code_integer))).
% 59.09/9.96  tff(func_def_918, type, code_Target_negative: fun(num,int)).
% 59.09/9.96  tff(func_def_919, type, code_Target_Nat: fun(code_integer,nat)).
% 59.09/9.96  tff(func_def_920, type, code_T6385005292777649522of_nat: fun(nat,int)).
% 59.09/9.96  tff(func_def_921, type, complete_Inf_Inf: !>[X0: $tType]:(fun(set(X0),X0))).
% 59.09/9.96  tff(func_def_922, type, complete_Sup_Sup: !>[X0: $tType]:(fun(set(X0),X0))).
% 59.09/9.96  tff(func_def_923, type, arg: complex > real).
% 59.09/9.96  tff(func_def_924, type, cis: real > complex).
% 59.09/9.96  tff(func_def_925, type, cnj: complex > complex).
% 59.09/9.96  tff(func_def_926, type, complex2: (real * real) > complex).
% 59.09/9.96  tff(func_def_927, type, im: complex > real).
% 59.09/9.96  tff(func_def_928, type, re: complex > real).
% 59.09/9.96  tff(func_def_929, type, csqrt: complex > complex).
% 59.09/9.96  tff(func_def_930, type, imaginary_unit: complex).
% 59.09/9.96  tff(func_def_931, type, rcis: (real * real) > complex).
% 59.09/9.96  tff(func_def_932, type, nth_item_rel: fun(nat,fun(nat,bool))).
% 59.09/9.96  tff(func_def_933, type, adjust_div: product_prod(int,int) > int).
% 59.09/9.96  tff(func_def_934, type, adjust_mod: (int * int) > int).
% 59.09/9.96  tff(func_def_935, type, divmod_nat: (nat * nat) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_936, type, unique8689654367752047608divmod: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 59.09/9.96  tff(func_def_937, type, unique1321980374590559556d_step: !>[X0: $tType]:((num * product_prod(X0,X0)) > product_prod(X0,X0))).
% 59.09/9.96  tff(func_def_938, type, euclid6346220572633701492n_size: !>[X0: $tType]:(fun(X0,nat))).
% 59.09/9.96  tff(func_def_939, type, euclid7384307370059645450egment: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_940, type, extended_eSuc: extended_enat > extended_enat).
% 59.09/9.96  tff(func_def_941, type, extended_enat2: nat > extended_enat).
% 59.09/9.96  tff(func_def_942, type, extended_case_enat: !>[X0: $tType]:((fun(nat,X0) * X0 * extended_enat) > X0)).
% 59.09/9.96  tff(func_def_943, type, extend4730790105801354508finity: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_944, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 * nat) > X0)).
% 59.09/9.96  tff(func_def_945, type, semiring_char_0_fact: !>[X0: $tType]:((nat) > X0)).
% 59.09/9.96  tff(func_def_946, type, inverse_inverse: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_947, type, at_bot: !>[X0: $tType]:(filter(X0))).
% 59.09/9.96  tff(func_def_948, type, at_top: !>[X0: $tType]:(filter(X0))).
% 59.09/9.96  tff(func_def_949, type, filtercomap: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1)) > filter(X0))).
% 59.09/9.96  tff(func_def_950, type, filtermap: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > filter(X1))).
% 59.09/9.96  tff(func_def_951, type, principal: !>[X0: $tType]:((set(X0)) > filter(X0))).
% 59.09/9.96  tff(func_def_952, type, prod_filter: !>[X0: $tType, X1: $tType]:((filter(X0) * filter(X1)) > filter(product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_953, type, finite_card: !>[X0: $tType]:(fun(set(X0),nat))).
% 59.09/9.96  tff(func_def_954, type, finite_finite: !>[X0: $tType]:(fun(set(X0),bool))).
% 59.09/9.96  tff(func_def_955, type, finite_fold: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X1 * set(X0)) > X1)).
% 59.09/9.96  tff(func_def_956, type, finite_folding_F: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X1) > fun(set(X0),X1))).
% 59.09/9.96  tff(func_def_957, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1)) > fun(fun(X2,X0),fun(X2,X1)))).
% 59.09/9.96  tff(func_def_958, type, fun_upd: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1) > fun(X0,X1))).
% 59.09/9.96  tff(func_def_959, type, id: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_960, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,X1) * fun(X2,X3)) > fun(fun(X1,X2),fun(X0,X3)))).
% 59.09/9.96  tff(func_def_961, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_962, type, fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat)))).
% 59.09/9.96  tff(func_def_963, type, fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat)))).
% 59.09/9.96  tff(func_def_964, type, gcd_Gcd: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_965, type, gcd_Lcm: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_966, type, bezw: (nat * nat) > product_prod(int,int)).
% 59.09/9.96  tff(func_def_967, type, bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 59.09/9.96  tff(func_def_968, type, bounde2362111253966948842tice_F: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * X0) > fun(set(X0),X0))).
% 59.09/9.96  tff(func_def_969, type, gcd_gcd: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_970, type, gcd_lcm: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_971, type, gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 59.09/9.96  tff(func_def_972, type, semiri4206861660011772517g_char: !>[X0: $tType]:((itself(X0)) > nat)).
% 59.09/9.96  tff(func_def_973, type, semiring_gcd_Gcd_fin: !>[X0: $tType]:(fun(set(X0),X0))).
% 59.09/9.96  tff(func_def_974, type, semiring_gcd_Lcm_fin: !>[X0: $tType]:(fun(set(X0),X0))).
% 59.09/9.96  tff(func_def_975, type, abs_abs: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_976, type, minus_minus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_977, type, one_one: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_978, type, plus_plus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_979, type, sgn_sgn: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_980, type, times_times: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_981, type, uminus_uminus: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_982, type, zero_zero: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_983, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 59.09/9.96  tff(func_def_984, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 59.09/9.96  tff(func_def_985, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 59.09/9.96  tff(func_def_986, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 59.09/9.96  tff(func_def_987, type, groups_comm_monoid_F: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,X0)) * X0) > fun(fun(X1,X0),fun(set(X1),X0)))).
% 59.09/9.96  tff(func_def_988, type, groups_comm_monoid_G: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,X0)) * X0) > fun(fun(X1,X0),fun(set(X1),X0)))).
% 59.09/9.96  tff(func_def_989, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(X1,fun(list(X0),X1))))).
% 59.09/9.96  tff(func_def_990, type, groups8242544230860333062m_list: !>[X0: $tType]:(fun(list(X0),X0))).
% 59.09/9.96  tff(func_def_991, type, groups_monoid_F: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > fun(list(X0),X0))).
% 59.09/9.96  tff(func_def_992, type, groups5270119922927024881d_list: !>[X0: $tType]:(fun(list(X0),X0))).
% 59.09/9.96  tff(func_def_993, type, the: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_994, type, hilbert_inv_into: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > fun(X1,X0))).
% 59.09/9.96  tff(func_def_995, type, if: !>[X0: $tType]:((bool * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_996, type, complete_lattice_gfp: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_997, type, complete_lattice_lfp: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_998, type, infini527867602293511546merate: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_999, type, abs_Integ: fun(product_prod(nat,nat),int)).
% 59.09/9.96  tff(func_def_1000, type, neg: num > int).
% 59.09/9.96  tff(func_def_1001, type, pos: fun(num,int)).
% 59.09/9.96  tff(func_def_1002, type, rep_Integ: fun(int,product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1003, type, cr_int: fun(product_prod(nat,nat),fun(int,bool))).
% 59.09/9.96  tff(func_def_1004, type, dup: int > int).
% 59.09/9.96  tff(func_def_1005, type, int_ge_less_than: int > set(product_prod(int,int))).
% 59.09/9.96  tff(func_def_1006, type, int_ge_less_than2: int > set(product_prod(int,int))).
% 59.09/9.96  tff(func_def_1007, type, intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 59.09/9.96  tff(func_def_1008, type, nat2: fun(int,nat)).
% 59.09/9.96  tff(func_def_1009, type, pcr_int: fun(product_prod(nat,nat),fun(int,bool))).
% 59.09/9.96  tff(func_def_1010, type, power_int: !>[X0: $tType]:((X0 * int) > X0)).
% 59.09/9.96  tff(func_def_1011, type, ring_1_Ints: !>[X0: $tType]:(set(X0))).
% 59.09/9.96  tff(func_def_1012, type, ring_1_of_int: !>[X0: $tType]:(fun(int,X0))).
% 59.09/9.96  tff(func_def_1013, type, sub: (num * num) > int).
% 59.09/9.96  tff(func_def_1014, type, inf_inf: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_1015, type, sup_sup: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_1016, type, lattic643756798349783984er_Max: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1017, type, lattic643756798350308766er_Min: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1018, type, lattices_ord_arg_max: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1019, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1020, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1021, type, lattic5214292709420241887eutr_F: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1022, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1023, type, at_infinity: !>[X0: $tType]:(filter(X0))).
% 59.09/9.96  tff(func_def_1024, type, append: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1025, type, arg_min_list: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1026, type, bind: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,list(X1))) > list(X1))).
% 59.09/9.96  tff(func_def_1027, type, butlast: !>[X0: $tType]:(fun(list(X0),list(X0)))).
% 59.09/9.96  tff(func_def_1028, type, concat: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_1029, type, coset: !>[X0: $tType]:((list(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1030, type, count_list: !>[X0: $tType]:((list(X0)) > fun(X0,nat))).
% 59.09/9.96  tff(func_def_1031, type, drop: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1032, type, dropWhile: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1033, type, enumerate: !>[X0: $tType]:((nat * list(X0)) > list(product_prod(nat,X0)))).
% 59.09/9.96  tff(func_def_1034, type, extract: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > option(product_prod(list(X0),product_prod(X0,list(X0)))))).
% 59.09/9.96  tff(func_def_1035, type, filter2: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1036, type, find: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > option(X0))).
% 59.09/9.96  tff(func_def_1037, type, fold: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * list(X0)) > fun(X1,X1))).
% 59.09/9.96  tff(func_def_1038, type, foldr: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * list(X0)) > fun(X1,X1))).
% 59.09/9.96  tff(func_def_1039, type, gen_length: !>[X0: $tType]:((nat) > fun(list(X0),nat))).
% 59.09/9.96  tff(func_def_1040, type, insert: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1041, type, last: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1042, type, lenlex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 59.09/9.96  tff(func_def_1043, type, lex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 59.09/9.96  tff(func_def_1044, type, lexn: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat) > set(product_prod(list(X0),list(X0))))).
% 59.09/9.96  tff(func_def_1045, type, lexord: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 59.09/9.96  tff(func_def_1046, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X1,X0) * set(X1)) > list(X1))).
% 59.09/9.96  tff(func_def_1047, type, linord329482645794927042rt_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1048, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(X0,fun(list(X0),list(X0))))).
% 59.09/9.96  tff(func_def_1049, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1050, type, linord4507533701916653071of_set: !>[X0: $tType]:((set(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1051, type, cons: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1052, type, nil: !>[X0: $tType]:(list(X0))).
% 59.09/9.96  tff(func_def_1053, type, hd: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1054, type, list_all2: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > fun(list(X0),fun(list(X1),bool)))).
% 59.09/9.96  tff(func_def_1055, type, map: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(list(X0),list(X1)))).
% 59.09/9.96  tff(func_def_1056, type, rec_list: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1)) > X0)).
% 59.09/9.96  tff(func_def_1057, type, set2: !>[X0: $tType]:(fun(list(X0),set(X0)))).
% 59.09/9.96  tff(func_def_1058, type, size_list: !>[X0: $tType]:((fun(X0,nat) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1059, type, tl: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1060, type, list_update: !>[X0: $tType]:((list(X0) * nat * X0) > list(X0))).
% 59.09/9.96  tff(func_def_1061, type, listrel: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > set(product_prod(list(X0),list(X1))))).
% 59.09/9.96  tff(func_def_1062, type, listrel1: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 59.09/9.96  tff(func_def_1063, type, lists: !>[X0: $tType]:((set(X0)) > set(list(X0)))).
% 59.09/9.96  tff(func_def_1064, type, measures: !>[X0: $tType]:((list(fun(X0,nat))) > set(product_prod(X0,X0)))).
% 59.09/9.96  tff(func_def_1065, type, min_list: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1066, type, n_lists: !>[X0: $tType]:((nat * list(X0)) > list(list(X0)))).
% 59.09/9.96  tff(func_def_1067, type, nth: !>[X0: $tType]:((list(X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1068, type, nths: !>[X0: $tType]:((list(X0) * set(nat)) > list(X0))).
% 59.09/9.96  tff(func_def_1069, type, ord_lexordp: !>[X0: $tType]:(fun(list(X0),fun(list(X0),bool)))).
% 59.09/9.96  tff(func_def_1070, type, partition: !>[X0: $tType]:((fun(X0,bool)) > fun(list(X0),product_prod(list(X0),list(X0))))).
% 59.09/9.96  tff(func_def_1071, type, product: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_1072, type, product_lists: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 59.09/9.96  tff(func_def_1073, type, remdups: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1074, type, remdups_adj: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1075, type, remove1: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1076, type, removeAll: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1077, type, replicate: !>[X0: $tType]:((nat * X0) > list(X0))).
% 59.09/9.96  tff(func_def_1078, type, rev: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1079, type, rotate: !>[X0: $tType]:((nat) > fun(list(X0),list(X0)))).
% 59.09/9.96  tff(func_def_1080, type, rotate1: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1081, type, shuffles: !>[X0: $tType]:((list(X0) * list(X0)) > set(list(X0)))).
% 59.09/9.96  tff(func_def_1082, type, splice: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1083, type, subseqs: !>[X0: $tType]:((list(X0)) > list(list(X0)))).
% 59.09/9.96  tff(func_def_1084, type, take: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1085, type, takeWhile: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1086, type, transpose: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 59.09/9.96  tff(func_def_1087, type, union: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1088, type, upt: (nat * nat) > list(nat)).
% 59.09/9.96  tff(func_def_1089, type, upto: (int * int) > list(int)).
% 59.09/9.96  tff(func_def_1090, type, upto_aux: (int * int * list(int)) > list(int)).
% 59.09/9.96  tff(func_def_1091, type, upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool))).
% 59.09/9.96  tff(func_def_1092, type, zip: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_1093, type, dom: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(X0))).
% 59.09/9.96  tff(func_def_1094, type, graph: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_1095, type, map_of: !>[X0: $tType, X1: $tType]:((list(product_prod(X0,X1))) > fun(X0,option(X1)))).
% 59.09/9.96  tff(func_def_1096, type, map_upds: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * list(X0) * list(X1)) > fun(X0,option(X1)))).
% 59.09/9.96  tff(func_def_1097, type, ran: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(X1))).
% 59.09/9.96  tff(func_def_1098, type, restrict_map: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * set(X0)) > fun(X0,option(X1)))).
% 59.09/9.96  tff(func_def_1099, type, suc: fun(nat,nat)).
% 59.09/9.96  tff(func_def_1100, type, compow: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_1101, type, funpow: !>[X0: $tType]:(fun(nat,fun(fun(X0,X0),fun(X0,X0))))).
% 59.09/9.96  tff(func_def_1102, type, case_nat: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_1103, type, pred: nat > nat).
% 59.09/9.96  tff(func_def_1104, type, rec_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0))) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1105, type, rec_set_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0)) * nat) > fun(X0,bool))).
% 59.09/9.96  tff(func_def_1106, type, semiring_1_Nats: !>[X0: $tType]:(set(X0))).
% 59.09/9.96  tff(func_def_1107, type, semiring_1_of_nat: !>[X0: $tType]:(fun(nat,X0))).
% 59.09/9.96  tff(func_def_1108, type, semiri8178284476397505188at_aux: !>[X0: $tType]:((fun(X0,X0) * nat * X0) > X0)).
% 59.09/9.96  tff(func_def_1109, type, size_size: !>[X0: $tType]:(fun(X0,nat))).
% 59.09/9.96  tff(func_def_1110, type, nat_int_decode: fun(nat,int)).
% 59.09/9.96  tff(func_def_1111, type, nat_int_encode: fun(int,nat)).
% 59.09/9.96  tff(func_def_1112, type, nat_list_decode: fun(nat,list(nat))).
% 59.09/9.96  tff(func_def_1113, type, nat_list_decode_rel: fun(nat,fun(nat,bool))).
% 59.09/9.96  tff(func_def_1114, type, nat_list_encode: fun(list(nat),nat)).
% 59.09/9.96  tff(func_def_1115, type, nat_list_encode_rel: fun(list(nat),fun(list(nat),bool))).
% 59.09/9.96  tff(func_def_1116, type, nat_prod_decode: fun(nat,product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1117, type, nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1118, type, nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 59.09/9.96  tff(func_def_1119, type, nat_prod_encode: fun(product_prod(nat,nat),nat)).
% 59.09/9.96  tff(func_def_1120, type, nat_set_decode: nat > set(nat)).
% 59.09/9.96  tff(func_def_1121, type, nat_set_encode: fun(set(nat),nat)).
% 59.09/9.96  tff(func_def_1122, type, nat_sum_decode: fun(nat,sum_sum(nat,nat))).
% 59.09/9.96  tff(func_def_1123, type, nat_sum_encode: fun(sum_sum(nat,nat),nat)).
% 59.09/9.96  tff(func_def_1124, type, nat_triangle: nat > nat).
% 59.09/9.96  tff(func_def_1125, type, root: nat > fun(real,real)).
% 59.09/9.96  tff(func_def_1126, type, sqrt: fun(real,real)).
% 59.09/9.96  tff(func_def_1127, type, bitM: num > num).
% 59.09/9.96  tff(func_def_1128, type, inc: num > num).
% 59.09/9.96  tff(func_def_1129, type, nat_of_num: fun(num,nat)).
% 59.09/9.96  tff(func_def_1130, type, neg_numeral_dbl: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1131, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1132, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1133, type, neg_numeral_sub: !>[X0: $tType]:((num * num) > X0)).
% 59.09/9.96  tff(func_def_1134, type, bit0: num > num).
% 59.09/9.96  tff(func_def_1135, type, bit1: fun(num,num)).
% 59.09/9.96  tff(func_def_1136, type, one2: num).
% 59.09/9.96  tff(func_def_1137, type, case_num: !>[X0: $tType]:(fun(X0,fun(fun(num,X0),fun(fun(num,X0),fun(num,X0)))))).
% 59.09/9.96  tff(func_def_1138, type, rec_num: !>[X0: $tType]:(fun(X0,fun(fun(num,fun(X0,X0)),fun(fun(num,fun(X0,X0)),fun(num,X0)))))).
% 59.09/9.96  tff(func_def_1139, type, size_num: num > nat).
% 59.09/9.96  tff(func_def_1140, type, num_of_nat: fun(nat,num)).
% 59.09/9.96  tff(func_def_1141, type, numeral_numeral: !>[X0: $tType]:(fun(num,X0))).
% 59.09/9.96  tff(func_def_1142, type, pow: (num * num) > num).
% 59.09/9.96  tff(func_def_1143, type, pred_numeral: num > nat).
% 59.09/9.96  tff(func_def_1144, type, sqr: num > num).
% 59.09/9.96  tff(func_def_1145, type, old_Atom: !>[X0: $tType, X1: $tType]:((sum_sum(X0,nat)) > set(old_node(X0,X1)))).
% 59.09/9.96  tff(func_def_1146, type, old_In0: !>[X0: $tType, X1: $tType]:((set(old_node(X0,X1))) > set(old_node(X0,X1)))).
% 59.09/9.96  tff(func_def_1147, type, old_In1: !>[X0: $tType, X1: $tType]:((set(old_node(X0,X1))) > set(old_node(X0,X1)))).
% 59.09/9.96  tff(func_def_1148, type, old_Leaf: !>[X0: $tType, X1: $tType]:((X0) > set(old_node(X0,X1)))).
% 59.09/9.96  tff(func_def_1149, type, old_Node: !>[X0: $tType, X1: $tType]:(set(product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat))))).
% 59.09/9.96  tff(func_def_1150, type, old_Numb: !>[X0: $tType, X1: $tType]:((nat) > set(old_node(X0,X1)))).
% 59.09/9.96  tff(func_def_1151, type, old_Push: !>[X0: $tType]:((sum_sum(X0,nat) * fun(nat,sum_sum(X0,nat)) * nat) > sum_sum(X0,nat))).
% 59.09/9.96  tff(func_def_1152, type, old_Push_Node: !>[X0: $tType, X1: $tType]:((sum_sum(X0,nat)) > fun(old_node(X1,X0),old_node(X1,X0)))).
% 59.09/9.96  tff(func_def_1153, type, old_Scons: !>[X0: $tType, X1: $tType]:((set(old_node(X0,X1)) * set(old_node(X0,X1))) > set(old_node(X0,X1)))).
% 59.09/9.96  tff(func_def_1154, type, old_ndepth: !>[X0: $tType, X1: $tType]:((old_node(X0,X1)) > nat)).
% 59.09/9.96  tff(func_def_1155, type, old_Abs_Node: !>[X0: $tType, X1: $tType]:((product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat))) > old_node(X1,X0))).
% 59.09/9.96  tff(func_def_1156, type, old_Rep_Node: !>[X0: $tType, X1: $tType]:((old_node(X0,X1)) > product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)))).
% 59.09/9.96  tff(func_def_1157, type, old_ntrunc: !>[X0: $tType, X1: $tType]:((nat * set(old_node(X0,X1))) > set(old_node(X0,X1)))).
% 59.09/9.96  tff(func_def_1158, type, none: !>[X0: $tType]:(option(X0))).
% 59.09/9.96  tff(func_def_1159, type, some: !>[X0: $tType]:(fun(X0,option(X0)))).
% 59.09/9.96  tff(func_def_1160, type, case_option: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * option(X1)) > X0)).
% 59.09/9.96  tff(func_def_1161, type, size_option: !>[X0: $tType]:((fun(X0,nat) * option(X0)) > nat)).
% 59.09/9.96  tff(func_def_1162, type, the2: !>[X0: $tType]:((option(X0)) > X0)).
% 59.09/9.96  tff(func_def_1163, type, order_underS: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > set(X0))).
% 59.09/9.96  tff(func_def_1164, type, bot_bot: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1165, type, ord_Least: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1166, type, ord_less: !>[X0: $tType]:(fun(X0,fun(X0,bool)))).
% 59.09/9.96  tff(func_def_1167, type, ord_less_eq: !>[X0: $tType]:(fun(X0,fun(X0,bool)))).
% 59.09/9.96  tff(func_def_1168, type, ord_max: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_1169, type, ord_min: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_1170, type, top_top: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1171, type, power2: !>[X0: $tType]:((X0 * fun(X0,fun(X0,X0)) * X0 * nat) > X0)).
% 59.09/9.96  tff(func_def_1172, type, power_power: !>[X0: $tType]:(fun(X0,fun(nat,X0)))).
% 59.09/9.96  tff(func_def_1173, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0) > fun(X1,product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_1174, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > set(product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_1175, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))))).
% 59.09/9.96  tff(func_def_1176, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2))) > fun(product_prod(X0,X1),X2))).
% 59.09/9.96  tff(func_def_1177, type, product_fst: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X0))).
% 59.09/9.96  tff(func_def_1178, type, product_snd: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X1))).
% 59.09/9.96  tff(func_def_1179, type, product_product: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_1180, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,product_prod(X1,X2)) * fun(X1,fun(X2,X3))) > fun(X0,X3))).
% 59.09/9.96  tff(func_def_1181, type, type2: !>[X0: $tType]:(itself(X0))).
% 59.09/9.96  tff(func_def_1182, type, inc_shift: (code_natural * code_natural) > code_natural).
% 59.09/9.96  tff(func_def_1183, type, iterate: !>[X0: $tType, X1: $tType]:((code_natural * fun(X0,fun(X1,product_prod(X0,X1)))) > fun(X0,fun(X1,product_prod(X0,X1))))).
% 59.09/9.96  tff(func_def_1184, type, iterate_rel: !>[X0: $tType, X1: $tType]:(fun(product_prod(code_natural,product_prod(fun(X0,fun(X1,product_prod(X0,X1))),X0)),fun(product_prod(code_natural,product_prod(fun(X0,fun(X1,product_prod(X0,X1))),X0)),bool)))).
% 59.09/9.96  tff(func_def_1185, type, log: (code_natural * code_natural) > code_natural).
% 59.09/9.96  tff(func_def_1186, type, log_rel: fun(product_prod(code_natural,code_natural),fun(product_prod(code_natural,code_natural),bool))).
% 59.09/9.96  tff(func_def_1187, type, minus_shift: (code_natural * code_natural * code_natural) > code_natural).
% 59.09/9.96  tff(func_def_1188, type, next: fun(product_prod(code_natural,code_natural),product_prod(code_natural,product_prod(code_natural,code_natural)))).
% 59.09/9.96  tff(func_def_1189, type, pick: !>[X0: $tType]:((list(product_prod(code_natural,X0)) * code_natural) > X0)).
% 59.09/9.96  tff(func_def_1190, type, range: code_natural > fun(product_prod(code_natural,code_natural),product_prod(code_natural,product_prod(code_natural,code_natural)))).
% 59.09/9.96  tff(func_def_1191, type, select: !>[X0: $tType]:((list(X0)) > fun(product_prod(code_natural,code_natural),product_prod(X0,product_prod(code_natural,code_natural))))).
% 59.09/9.96  tff(func_def_1192, type, select_weight: !>[X0: $tType]:((list(product_prod(code_natural,X0))) > fun(product_prod(code_natural,code_natural),product_prod(X0,product_prod(code_natural,code_natural))))).
% 59.09/9.96  tff(func_def_1193, type, abs_Rat: fun(product_prod(int,int),rat)).
% 59.09/9.96  tff(func_def_1194, type, fract: fun(int,fun(int,rat))).
% 59.09/9.96  tff(func_def_1195, type, frct: product_prod(int,int) > rat).
% 59.09/9.96  tff(func_def_1196, type, rep_Rat: fun(rat,product_prod(int,int))).
% 59.09/9.96  tff(func_def_1197, type, field_char_0_Rats: !>[X0: $tType]:(set(X0))).
% 59.09/9.96  tff(func_def_1198, type, field_char_0_of_rat: !>[X0: $tType]:(fun(rat,X0))).
% 59.09/9.96  tff(func_def_1199, type, normalize: product_prod(int,int) > product_prod(int,int)).
% 59.09/9.96  tff(func_def_1200, type, of_int: fun(int,rat)).
% 59.09/9.96  tff(func_def_1201, type, pcr_rat: fun(product_prod(int,int),fun(rat,bool))).
% 59.09/9.96  tff(func_def_1202, type, positive: fun(rat,bool)).
% 59.09/9.96  tff(func_def_1203, type, quotient_of: rat > product_prod(int,int)).
% 59.09/9.96  tff(func_def_1204, type, ratrel: fun(product_prod(int,int),fun(product_prod(int,int),bool))).
% 59.09/9.96  tff(func_def_1205, type, ratreal: fun(rat,real)).
% 59.09/9.96  tff(func_def_1206, type, real2: fun(fun(nat,rat),real)).
% 59.09/9.96  tff(func_def_1207, type, cr_real: fun(fun(nat,rat),fun(real,bool))).
% 59.09/9.96  tff(func_def_1208, type, pcr_real: fun(fun(nat,rat),fun(real,bool))).
% 59.09/9.96  tff(func_def_1209, type, positive2: fun(real,bool)).
% 59.09/9.96  tff(func_def_1210, type, realrel: fun(fun(nat,rat),fun(fun(nat,rat),bool))).
% 59.09/9.96  tff(func_def_1211, type, rep_real: fun(real,fun(nat,rat))).
% 59.09/9.96  tff(func_def_1212, type, vanishes: fun(nat,rat) > bool).
% 59.09/9.96  tff(func_def_1213, type, real_Vector_Reals: !>[X0: $tType]:(set(X0))).
% 59.09/9.96  tff(func_def_1214, type, real_V4425403222259421789struct: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X0) > X1)).
% 59.09/9.96  tff(func_def_1215, type, real_Vector_dim: !>[X0: $tType]:((set(X0)) > nat)).
% 59.09/9.96  tff(func_def_1216, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 * X0) > real)).
% 59.09/9.96  tff(func_def_1217, type, real_V4986007116245087402_basis: !>[X0: $tType]:((set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1218, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0) > real)).
% 59.09/9.96  tff(func_def_1219, type, real_Vector_of_real: !>[X0: $tType]:((real) > X0)).
% 59.09/9.96  tff(func_def_1220, type, real_V7696804695334737415tation: !>[X0: $tType]:((set(X0) * X0 * X0) > real)).
% 59.09/9.96  tff(func_def_1221, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real * X0) > X0)).
% 59.09/9.96  tff(func_def_1222, type, real_Vector_span: !>[X0: $tType]:((set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1223, type, field2: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 59.09/9.96  tff(func_def_1224, type, id2: !>[X0: $tType]:(set(product_prod(X0,X0)))).
% 59.09/9.96  tff(func_def_1225, type, id_on: !>[X0: $tType]:((set(X0)) > set(product_prod(X0,X0)))).
% 59.09/9.96  tff(func_def_1226, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X1)) * set(product_prod(X1,X2))) > set(product_prod(X0,X2)))).
% 59.09/9.96  tff(func_def_1227, type, divide_divide: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1228, type, dvd_dvd: !>[X0: $tType]:(fun(X0,fun(X0,bool)))).
% 59.09/9.96  tff(func_def_1229, type, modulo_modulo: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1230, type, normal6383669964737779283malize: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1231, type, unit_f5069060285200089521factor: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1232, type, zero_neq_one_of_bool: !>[X0: $tType]:(fun(bool,X0))).
% 59.09/9.96  tff(func_def_1233, type, suminf: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 59.09/9.96  tff(func_def_1234, type, collect: !>[X0: $tType]:((fun(X0,bool)) > set(X0))).
% 59.09/9.96  tff(func_def_1235, type, pow2: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 59.09/9.96  tff(func_def_1236, type, filter3: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1237, type, image: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > set(X1))).
% 59.09/9.96  tff(func_def_1238, type, insert2: !>[X0: $tType]:(fun(X0,fun(set(X0),set(X0))))).
% 59.09/9.96  tff(func_def_1239, type, remove: !>[X0: $tType]:(fun(X0,fun(set(X0),set(X0))))).
% 59.09/9.96  tff(func_def_1240, type, the_elem: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1241, type, vimage: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X1)) > set(X0))).
% 59.09/9.96  tff(func_def_1242, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:((fun(nat,fun(X0,X0)) * nat * nat * X0) > X0)).
% 59.09/9.96  tff(func_def_1243, 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))),bool)))).
% 59.09/9.96  tff(func_def_1244, type, set_ord_atLeast: !>[X0: $tType]:((X0) > set(X0))).
% 59.09/9.96  tff(func_def_1245, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 59.09/9.96  tff(func_def_1246, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 59.09/9.96  tff(func_def_1247, type, set_ord_atMost: !>[X0: $tType]:((X0) > set(X0))).
% 59.09/9.96  tff(func_def_1248, type, set_ord_greaterThan: !>[X0: $tType]:((X0) > set(X0))).
% 59.09/9.96  tff(func_def_1249, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 59.09/9.96  tff(func_def_1250, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 59.09/9.96  tff(func_def_1251, type, set_ord_lessThan: !>[X0: $tType]:((X0) > set(X0))).
% 59.09/9.96  tff(func_def_1252, type, abort: !>[X0: $tType]:((literal * fun(product_unit,X0)) > X0)).
% 59.09/9.96  tff(func_def_1253, type, literal2: (bool * bool * bool * bool * bool * bool * bool * literal) > literal).
% 59.09/9.96  tff(func_def_1254, type, char2: (bool * bool * bool * bool * bool * bool * bool * bool) > char).
% 59.09/9.96  tff(func_def_1255, type, size_char: char > nat).
% 59.09/9.96  tff(func_def_1256, type, comm_s6883823935334413003f_char: !>[X0: $tType]:(fun(char,X0))).
% 59.09/9.96  tff(func_def_1257, type, unique5772411509450598832har_of: !>[X0: $tType]:(fun(X0,char))).
% 59.09/9.96  tff(func_def_1258, type, sum_Inl: !>[X0: $tType, X1: $tType]:(fun(X0,sum_sum(X0,X1)))).
% 59.09/9.96  tff(func_def_1259, type, sum_Inr: !>[X0: $tType, X1: $tType]:(fun(X0,sum_sum(X1,X0)))).
% 59.09/9.96  tff(func_def_1260, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(sum_sum(X0,X1)))).
% 59.09/9.96  tff(func_def_1261, type, sum_case_sum: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1) * fun(X2,X1) * sum_sum(X0,X2)) > X1)).
% 59.09/9.96  tff(func_def_1262, type, topolo3827282254853284352ce_Lim: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1)) > X1)).
% 59.09/9.96  tff(func_def_1263, type, topolo174197925503356063within: !>[X0: $tType]:((X0 * set(X0)) > filter(X0))).
% 59.09/9.96  tff(func_def_1264, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0) > filter(X0))).
% 59.09/9.96  tff(func_def_1265, type, arccos: fun(real,real)).
% 59.09/9.96  tff(func_def_1266, type, arcosh: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1267, type, arcsin: fun(real,real)).
% 59.09/9.96  tff(func_def_1268, type, arctan: fun(real,real)).
% 59.09/9.96  tff(func_def_1269, type, arsinh: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1270, type, artanh: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1271, type, cos: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1272, type, cos_coeff: fun(nat,real)).
% 59.09/9.96  tff(func_def_1273, type, cosh: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1274, type, cot: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1275, type, diffs: !>[X0: $tType]:((fun(nat,X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1276, type, exp: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1277, type, ln_ln: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1278, type, log2: real > fun(real,real)).
% 59.09/9.96  tff(func_def_1279, type, pi: real).
% 59.09/9.96  tff(func_def_1280, type, powr: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1281, type, powr_real: (real * real) > real).
% 59.09/9.96  tff(func_def_1282, type, sin: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1283, type, sin_coeff: nat > real).
% 59.09/9.96  tff(func_def_1284, type, sinh: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1285, type, tan: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1286, type, tanh: !>[X0: $tType]:(fun(X0,X0))).
% 59.09/9.96  tff(func_def_1287, type, transitive_ntrancl: !>[X0: $tType]:((nat * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 59.09/9.96  tff(func_def_1288, type, transitive_trancl: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 59.09/9.96  tff(func_def_1289, type, vEBT_Leaf: (bool * bool) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1290, type, vEBT_Node: (option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1291, type, vEBT_case_VEBT: !>[X0: $tType]:(fun(fun(option(product_prod(nat,nat)),fun(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,X0)))),fun(fun(bool,fun(bool,X0)),fun(vEBT_VEBT,X0))))).
% 59.09/9.96  tff(func_def_1292, type, vEBT_rec_VEBT: !>[X0: $tType]:(fun(fun(option(product_prod(nat,nat)),fun(nat,fun(list(product_prod(vEBT_VEBT,X0)),fun(vEBT_VEBT,fun(X0,X0))))),fun(fun(bool,fun(bool,X0)),fun(vEBT_VEBT,X0))))).
% 59.09/9.96  tff(func_def_1293, type, vEBT_size_VEBT: fun(vEBT_VEBT,nat)).
% 59.09/9.96  tff(func_def_1294, type, vEBT_V8194947554948674370ptions: fun(vEBT_VEBT,fun(nat,bool))).
% 59.09/9.96  tff(func_def_1295, type, vEBT_VEBT_elim_dead: (vEBT_VEBT * extended_enat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1296, type, vEBT_V312737461966249ad_rel: fun(product_prod(vEBT_VEBT,extended_enat),fun(product_prod(vEBT_VEBT,extended_enat),bool))).
% 59.09/9.96  tff(func_def_1297, type, vEBT_VEBT_high: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_1298, type, vEBT_VEBT_low: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_1299, type, vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 59.09/9.96  tff(func_def_1300, type, vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 59.09/9.96  tff(func_def_1301, type, vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 59.09/9.96  tff(func_def_1302, type, vEBT_set_vebt: vEBT_VEBT > set(nat)).
% 59.09/9.96  tff(func_def_1303, type, vEBT_vebt_buildup: nat > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1304, type, vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,bool))).
% 59.09/9.96  tff(func_def_1305, type, vEBT_VEBT_bit_concat: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_1306, type, vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool))).
% 59.09/9.96  tff(func_def_1307, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat)).
% 59.09/9.96  tff(func_def_1308, type, vEBT_vebt_member: vEBT_VEBT > fun(nat,bool)).
% 59.09/9.96  tff(func_def_1309, type, vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 59.09/9.96  tff(func_def_1310, type, less_than: set(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1311, type, measure: !>[X0: $tType]:((fun(X0,nat)) > set(product_prod(X0,X0)))).
% 59.09/9.96  tff(func_def_1312, type, mlex_prod: !>[X0: $tType]:((fun(X0,nat) * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 59.09/9.96  tff(func_def_1313, type, pred_nat: set(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1314, type, aa: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0) > X1)).
% 59.09/9.96  tff(func_def_1315, type, fAll: !>[X0: $tType]:((fun(X0,bool)) > bool)).
% 59.09/9.96  tff(func_def_1316, type, fChoice: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1317, type, fEx: !>[X0: $tType]:(fun(fun(X0,bool),bool))).
% 59.09/9.96  tff(func_def_1318, type, fFalse: bool).
% 59.09/9.96  tff(func_def_1319, type, fNot: fun(bool,bool)).
% 59.09/9.96  tff(func_def_1320, type, fTrue: bool).
% 59.09/9.96  tff(func_def_1321, type, fconj: (bool * bool) > bool).
% 59.09/9.96  tff(func_def_1322, type, fdisj: (bool * bool) > bool).
% 59.09/9.96  tff(func_def_1323, type, fequal: !>[X0: $tType]:(fun(X0,fun(X0,bool)))).
% 59.09/9.96  tff(func_def_1324, type, fimplies: fun(bool,fun(bool,bool))).
% 59.09/9.96  tff(func_def_1325, type, member: !>[X0: $tType]:(fun(X0,fun(set(X0),bool)))).
% 59.09/9.96  tff(func_def_1326, type, deg: nat).
% 59.09/9.96  tff(func_def_1327, type, m: nat).
% 59.09/9.96  tff(func_def_1328, type, na: nat).
% 59.09/9.96  tff(func_def_1329, type, summary: vEBT_VEBT).
% 59.09/9.96  tff(func_def_1330, type, treeList: list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1331, type, xa: nat).
% 59.09/9.96  tff(func_def_1332, type, sK567: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1333, type, sK568: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_1334, type, sK569: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_1335, type, sK570: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1336, type, sK571: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1337, type, sK572: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1338, type, sK573: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_1339, type, sK574: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_1340, type, sK575: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1341, type, sK576: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1342, type, sK577: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1343, type, sK578: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1344, type, sK579: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_1345, type, sK580: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1346, type, sK581: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1347, type, sK582: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1348, type, sK583: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1349, type, sK584: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 59.09/9.96  tff(func_def_1350, type, sK585: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1351, type, sK586: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1352, type, sK587: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 59.09/9.96  tff(func_def_1353, type, sK588: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1354, type, sK589: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1355, type, sK590: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 59.09/9.96  tff(func_def_1356, type, sK591: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1357, type, sK592: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1358, type, sK593: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1359, type, sK594: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1360, type, sK595: !>[X0: $tType]:((X0 * fun(nat,X0)) > real)).
% 59.09/9.96  tff(func_def_1361, type, sK596: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1362, type, sK597: !>[X0: $tType]:((X0 * fun(nat,X0) * real) > nat)).
% 59.09/9.96  tff(func_def_1363, type, sK598: !>[X0: $tType]:((X0) > nat)).
% 59.09/9.96  tff(func_def_1364, type, sK599: !>[X0: $tType]:((X0) > nat)).
% 59.09/9.96  tff(func_def_1365, type, sK600: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1366, type, sK601: !>[X0: $tType]:((X0) > nat)).
% 59.09/9.96  tff(func_def_1367, type, sK602: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1368, type, sK603: !>[X0: $tType]:((X0) > nat)).
% 59.09/9.96  tff(func_def_1369, type, sK604: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1370, type, sK605: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1371, type, sK606: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1372, type, sK607: !>[X0: $tType]:((X0 * X0) > nat)).
% 59.09/9.96  tff(func_def_1373, type, sK608: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1374, type, sK609: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1375, type, sK610: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1376, type, sK611: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1377, type, sK612: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1378, type, sK613: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1379, type, sK614: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1380, type, sK615: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1381, type, sK616: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1382, type, sK617: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1383, type, sK618: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1384, type, sK619: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1385, type, sK620: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1386, type, sK621: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1387, type, sK622: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1388, type, sK623: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1389, type, sK624: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1390, type, sK625: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1391, type, sK626: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1392, type, sK627: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1393, type, sK628: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1394, type, sK629: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1395, type, sK630: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1396, type, sK631: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1397, type, sK632: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1398, type, sK633: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1399, type, sK634: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1400, type, sK635: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1401, type, sK636: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1402, type, sK637: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1403, type, sK638: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1404, type, sK639: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1405, type, sK640: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1406, type, sK641: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1407, type, sK642: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1408, type, sK643: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1409, type, sK644: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1410, type, sK645: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1411, type, sK646: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1412, type, sK647: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1413, type, sK648: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1414, type, sK649: !>[X0: $tType]:((real * fun(nat,X0) * nat) > real)).
% 59.09/9.96  tff(func_def_1415, type, sK650: !>[X0: $tType]:((X0 * X0) > nat)).
% 59.09/9.96  tff(func_def_1416, type, sK651: !>[X0: $tType]:((set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1417, type, sK652: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 59.09/9.96  tff(func_def_1418, type, sK653: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1419, type, sK654: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 59.09/9.96  tff(func_def_1420, type, sK655: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1421, type, sK656: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1422, type, sK657: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1423, type, sK658: !>[X0: $tType]:((set(X0)) > real)).
% 59.09/9.96  tff(func_def_1424, type, sK659: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1425, type, sK660: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 59.09/9.96  tff(func_def_1426, type, sK661: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1427, type, sK662: !>[X0: $tType]:((set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1428, type, sK663: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 59.09/9.96  tff(func_def_1429, type, sK664: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1430, type, sK665: !>[X0: $tType]:((set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1431, type, sK666: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 59.09/9.96  tff(func_def_1432, type, sK667: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1433, type, sK668: !>[X0: $tType]:((set(X0)) > real)).
% 59.09/9.96  tff(func_def_1434, type, sK669: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1435, type, sK670: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1436, type, sK671: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1437, type, sK672: !>[X0: $tType]:((set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1438, type, sK673: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 59.09/9.96  tff(func_def_1439, type, sK674: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1440, type, sK675: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 59.09/9.96  tff(func_def_1441, type, sK676: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1442, type, sK677: !>[X0: $tType]:((X0 * set(X0) * X0) > real)).
% 59.09/9.96  tff(func_def_1443, type, sK678: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > real)).
% 59.09/9.96  tff(func_def_1444, type, sK679: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1445, type, sK680: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1446, type, sK681: !>[X0: $tType]:((X0 * set(X0) * X0) > real)).
% 59.09/9.96  tff(func_def_1447, type, sK682: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1448, type, sK683: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1449, type, sK684: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1450, type, sK685: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1451, type, sK686: !>[X0: $tType]:((X0 * X0 * set(X0)) > real)).
% 59.09/9.96  tff(func_def_1452, type, sK687: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1453, type, sK688: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1454, type, sK689: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1455, type, sK690: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1456, type, sK691: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1457, type, sK692: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1458, type, sK693: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1459, type, sK694: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1460, type, sK695: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1461, type, sK696: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1462, type, sK697: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1463, type, sK698: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1464, type, sK699: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1465, type, sK700: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1466, type, sK701: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1467, type, sK702: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1468, type, sK703: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1469, type, sK704: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1470, type, sK705: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1471, type, sK706: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1472, type, sK707: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1473, type, sK708: !>[X0: $tType]:((X0) > nat)).
% 59.09/9.96  tff(func_def_1474, type, sK709: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1475, type, sK710: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1476, type, sK711: !>[X0: $tType]:((fun(int,bool) * X0) > int)).
% 59.09/9.96  tff(func_def_1477, type, sK712: !>[X0: $tType]:((fun(int,bool) * X0) > int)).
% 59.09/9.96  tff(func_def_1478, type, sK713: !>[X0: $tType]:((real * nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1479, type, sK714: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1480, type, sK715: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1481, type, sK716: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1482, type, sK717: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1483, type, sK718: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1484, type, sK719: !>[X0: $tType]:((fun(X0,X0) * X0 * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1485, type, sK720: !>[X0: $tType]:((fun(X0,X0) * X0 * X0) > fun(X0,X0))).
% 59.09/9.96  tff(func_def_1486, type, sK721: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1487, type, sK722: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1488, type, sK723: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 59.09/9.96  tff(func_def_1489, type, sK724: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1490, type, sK725: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1491, type, sK726: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 59.09/9.96  tff(func_def_1492, type, sK727: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1493, type, sK728: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1494, type, sK729: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 59.09/9.96  tff(func_def_1495, type, sK730: !>[X0: $tType]:((fun(nat,X0) * real * X0) > nat)).
% 59.09/9.96  tff(func_def_1496, type, sK731: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 59.09/9.96  tff(func_def_1497, type, sK732: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 59.09/9.96  tff(func_def_1498, type, sK733: !>[X0: $tType]:((fun(nat,X0) * real * nat) > nat)).
% 59.09/9.96  tff(func_def_1499, type, sK734: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 59.09/9.96  tff(func_def_1500, type, sK735: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1501, type, sK736: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1502, type, sK737: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1503, type, sK738: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1504, type, sK739: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1505, type, sK740: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 59.09/9.96  tff(func_def_1506, type, sK741: !>[X0: $tType]:((real * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1507, type, sK742: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 59.09/9.96  tff(func_def_1508, type, sK743: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 59.09/9.96  tff(func_def_1509, type, sK744: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 59.09/9.96  tff(func_def_1510, type, sK745: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 59.09/9.96  tff(func_def_1511, type, sK746: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 59.09/9.96  tff(func_def_1512, type, sK747: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 59.09/9.96  tff(func_def_1513, type, sK748: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1514, type, sK749: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1515, type, sK750: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1516, type, sK751: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1517, type, sK752: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1518, type, sK753: !>[X0: $tType]:((set(X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_1519, type, sK754: !>[X0: $tType]:((set(X0) * set(X0)) > nat)).
% 59.09/9.96  tff(func_def_1520, type, sK755: !>[X0: $tType]:((set(X0) * set(X0)) > nat)).
% 59.09/9.96  tff(func_def_1521, type, sK756: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1522, type, sK757: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1523, type, sK758: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1524, type, sK759: !>[X0: $tType]:((X0 * nat) > nat)).
% 59.09/9.96  tff(func_def_1525, type, sK760: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1526, type, sK761: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1527, type, sK762: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1528, type, sK763: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1529, type, sK764: !>[X0: $tType]:((X0 * X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1530, type, sK765: !>[X0: $tType]:((X0 * X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1531, type, sK766: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1532, type, sK767: !>[X0: $tType]:((fun(X0,bool)) > bool)).
% 59.09/9.96  tff(func_def_1533, type, sK768: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1534, type, sK769: !>[X0: $tType]:((X0 * X0) > nat)).
% 59.09/9.96  tff(func_def_1535, type, sK770: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1536, type, sK771: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1537, type, sK772: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1538, type, sK773: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1539, type, sK774: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1540, type, sK775: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1541, type, sK776: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 59.09/9.96  tff(func_def_1542, type, sK777: !>[X0: $tType]:((fun(real,X0) * real * real * X0) > real)).
% 59.09/9.96  tff(func_def_1543, type, sK778: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 59.09/9.96  tff(func_def_1544, type, sK779: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1545, type, sK780: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1546, type, sK781: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1547, type, sK782: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1548, type, sK783: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1549, type, sK784: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1550, type, sK785: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1551, type, sK786: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1552, type, sK787: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1553, type, sK788: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1554, type, sK789: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1555, type, sK790: !>[X0: $tType]:((X0 * X0) > nat)).
% 59.09/9.96  tff(func_def_1556, type, sK791: !>[X0: $tType]:((X0) > nat)).
% 59.09/9.96  tff(func_def_1557, type, sK792: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_1558, type, sK793: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1559, type, sK794: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1560, type, sK795: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1561, type, sK796: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1562, type, sK797: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_1563, type, sK798: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1564, type, sK799: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1565, type, sK800: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_1566, type, sK801: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1567, type, sK802: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1568, type, sK803: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1569, type, sK804: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1570, type, sK805: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1571, type, sK806: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1572, type, sK807: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1573, type, sK808: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1574, type, sK809: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1575, type, sK810: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1576, type, sK811: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1577, type, sK812: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1578, type, sK813: !>[X0: $tType]:((X0 * X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1579, type, sK814: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1580, type, sK815: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1581, type, sK816: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1582, type, sK817: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1583, type, sK818: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 59.09/9.96  tff(func_def_1584, type, sK819: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 59.09/9.96  tff(func_def_1585, type, sK820: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1586, type, sK821: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1587, type, sK822: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1588, type, sK823: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1589, type, sK824: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1590, type, sK825: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1591, type, sK826: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1592, type, sK827: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1593, type, sK828: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1594, type, sK829: !>[X0: $tType]:((X0) > int)).
% 59.09/9.96  tff(func_def_1595, type, sK830: !>[X0: $tType]:((fun(X0,bool)) > int)).
% 59.09/9.96  tff(func_def_1596, type, sK831: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_1597, type, sK832: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 59.09/9.96  tff(func_def_1598, type, sK833: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 59.09/9.96  tff(func_def_1599, type, sK834: !>[X0: $tType]:((fun(X0,real) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1600, type, sK835: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 59.09/9.96  tff(func_def_1601, type, sK836: !>[X0: $tType]:((set(X0) * fun(X0,real)) > X0)).
% 59.09/9.96  tff(func_def_1602, type, sK837: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1603, type, sK838: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1604, type, sK839: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1605, type, sK840: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1606, type, sK841: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1607, type, sK842: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1608, type, sK843: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1609, type, sK844: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1610, type, sK845: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1611, type, sK846: fun(nat,rat) > nat).
% 59.09/9.96  tff(func_def_1612, type, sK847: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1613, type, sK848: fun(nat,rat) > nat).
% 59.09/9.96  tff(func_def_1614, type, sK849: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1615, type, sK850: (fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_1616, type, sK851: (fun(nat,rat) * rat) > nat).
% 59.09/9.96  tff(func_def_1617, type, sK852: (fun(nat,rat) * rat * nat) > nat).
% 59.09/9.96  tff(func_def_1618, type, sK853: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1619, type, sK854: fun(nat,rat) > nat).
% 59.09/9.96  tff(func_def_1620, type, sK855: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1621, type, sK856: !>[X0: $tType]:(nat)).
% 59.09/9.96  tff(func_def_1622, type, sK857: !>[X0: $tType]:(nat)).
% 59.09/9.96  tff(func_def_1623, type, sK858: !>[X0: $tType]:((nat) > nat)).
% 59.09/9.96  tff(func_def_1624, type, sK859: !>[X0: $tType]:((nat) > nat)).
% 59.09/9.96  tff(func_def_1625, type, sK860: !>[X0: $tType]:((X0) > nat)).
% 59.09/9.96  tff(func_def_1626, type, sK861: !>[X0: $tType]:((fun(X0,bool)) > nat)).
% 59.09/9.96  tff(func_def_1627, type, sK862: !>[X0: $tType]:((set(nat) * fun(nat,X0) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1628, type, sK863: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1629, type, sK864: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1630, type, sK865: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1631, type, sK866: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1632, type, sK867: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1633, type, sK868: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1634, type, sK869: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1635, type, sK870: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1636, type, sK871: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1637, type, sK872: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1638, type, sK873: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1639, type, sK874: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1640, type, sK875: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1641, type, sK876: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1642, type, sK877: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1643, type, sK878: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1644, type, sK879: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1645, type, sK880: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1646, type, sK881: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1647, type, sK882: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_1648, type, sK883: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1649, type, sK884: !>[X0: $tType]:((set(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1650, type, sK885: !>[X0: $tType]:((set(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1651, type, sK886: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1652, type, sK887: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1653, type, sK888: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1654, type, sK889: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1655, type, sK890: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1656, type, sK891: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1657, type, sK892: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1658, type, sK893: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_1659, type, sK894: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1660, type, sK895: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1661, type, sK896: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1662, type, sK897: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1663, type, sK898: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1664, type, sK899: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1665, type, sK900: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1666, type, sK901: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1667, type, sK902: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1668, type, sK903: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1669, type, sK904: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1670, type, sK905: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1671, type, sK906: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1672, type, sK907: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1673, type, sK908: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1674, type, sK909: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1675, type, sK910: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1676, type, sK911: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 59.09/9.96  tff(func_def_1677, type, sK912: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 59.09/9.96  tff(func_def_1678, type, sK913: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 59.09/9.96  tff(func_def_1679, type, sK914: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 59.09/9.96  tff(func_def_1680, type, sK915: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1681, type, sK916: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1682, type, sK917: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1683, type, sK918: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1684, type, sK919: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1685, type, sK920: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1686, type, sK921: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1687, type, sK922: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1688, type, sK923: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1689, type, sK924: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1690, type, sK925: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1691, type, sK926: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1692, type, sK927: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1693, type, sK928: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1694, type, sK929: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1695, type, sK930: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1696, type, sK931: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1697, type, sK932: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1698, type, sK933: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1699, type, sK934: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1700, type, sK935: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1701, type, sK936: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > X0)).
% 59.09/9.96  tff(func_def_1702, type, sK937: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > list(X0))).
% 59.09/9.96  tff(func_def_1703, type, sK938: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > list(X0))).
% 59.09/9.96  tff(func_def_1704, type, sK939: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > X0)).
% 59.09/9.96  tff(func_def_1705, type, sK940: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > list(X0))).
% 59.09/9.96  tff(func_def_1706, type, sK941: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > X0)).
% 59.09/9.96  tff(func_def_1707, type, sK942: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > list(X0))).
% 59.09/9.96  tff(func_def_1708, type, sK943: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > X0)).
% 59.09/9.96  tff(func_def_1709, type, sK944: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > list(X0))).
% 59.09/9.96  tff(func_def_1710, type, sK945: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_1711, type, sK946: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_1712, type, sK947: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_1713, type, sK948: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_1714, type, sK949: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_1715, type, sK950: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1716, type, sK951: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1717, type, sK952: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1718, type, sK953: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1719, type, sK954: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1720, type, sK955: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1721, type, sK956: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1722, type, sK957: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1723, type, sK958: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1724, type, sK959: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1725, type, sK960: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1726, type, sK961: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1727, type, sK962: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1728, type, sK963: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1729, type, sK964: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1730, type, sK965: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1731, type, sK966: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1732, type, sK967: !>[X0: $tType]:((list(X0) * X0 * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1733, type, sK968: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1734, type, sK969: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1735, type, sK970: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1736, type, sK971: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1737, type, sK972: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1738, type, sK973: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1739, type, sK974: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1740, type, sK975: !>[X0: $tType]:((list(X0) * X0 * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1741, type, sK976: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1742, type, sK977: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1743, type, sK978: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1744, type, sK979: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1745, type, sK980: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1746, type, sK981: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1747, type, sK982: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1748, type, sK983: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1749, type, sK984: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1750, type, sK985: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1751, type, sK986: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1752, type, sK987: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1753, type, sK988: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1754, type, sK989: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1755, type, sK990: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1756, type, sK991: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1757, type, sK992: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1758, type, sK993: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1759, type, sK994: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1760, type, sK995: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1761, type, sK996: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1762, type, sK997: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1763, type, sK998: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1764, type, sK999: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1765, type, sK1000: !>[X0: $tType]:(X0)).
% 59.09/9.96  tff(func_def_1766, type, sK1001: !>[X0: $tType]:((fun(X0,nat) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_1767, type, sK1002: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1768, type, sK1003: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1769, type, sK1004: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1770, type, sK1005: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1771, type, sK1006: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1772, type, sK1007: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1773, type, sK1008: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1774, type, sK1009: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_1775, type, sK1010: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1776, type, sK1011: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_1777, type, sK1012: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_1778, type, sK1013: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1779, type, sK1014: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1780, type, sK1015: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1781, type, sK1016: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1782, type, sK1017: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1783, type, sK1018: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1784, type, sK1019: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1785, type, sK1020: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1786, type, sK1021: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1787, type, sK1022: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1788, type, sK1023: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1789, type, sK1024: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1790, type, sK1025: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1791, type, sK1026: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1792, type, sK1027: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1793, type, sK1028: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1794, type, sK1029: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1795, type, sK1030: num > num).
% 59.09/9.96  tff(func_def_1796, type, sK1031: num > num).
% 59.09/9.96  tff(func_def_1797, type, sK1032: int > nat).
% 59.09/9.96  tff(func_def_1798, type, sK1033: int > nat).
% 59.09/9.96  tff(func_def_1799, type, sK1034: nat > nat).
% 59.09/9.96  tff(func_def_1800, type, sK1035: nat > nat).
% 59.09/9.96  tff(func_def_1801, type, sK1036: nat > nat).
% 59.09/9.96  tff(func_def_1802, type, sK1037: nat > nat).
% 59.09/9.96  tff(func_def_1803, type, sK1038: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1804, type, sK1039: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1805, type, sK1040: list(nat) > nat).
% 59.09/9.96  tff(func_def_1806, type, sK1041: list(nat) > list(nat)).
% 59.09/9.96  tff(func_def_1807, type, sK1042: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_1808, type, sK1043: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_1809, type, sK1044: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1810, type, sK1045: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1811, type, sK1046: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_1812, type, sK1047: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1813, type, sK1048: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1814, type, sK1049: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1815, type, sK1050: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_1816, type, sK1051: complex > real).
% 59.09/9.96  tff(func_def_1817, type, sK1052: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_1818, type, sK1053: set(nat) > nat).
% 59.09/9.96  tff(func_def_1819, type, sK1054: set(nat) > nat).
% 59.09/9.96  tff(func_def_1820, type, sK1055: set(nat) > nat).
% 59.09/9.96  tff(func_def_1821, type, sK1056: set(nat) > nat).
% 59.09/9.96  tff(func_def_1822, type, sK1057: set(nat) > fun(nat,nat)).
% 59.09/9.96  tff(func_def_1823, type, sK1058: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1824, type, sK1059: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1825, type, sK1060: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1826, type, sK1061: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1827, type, sK1062: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1828, type, sK1063: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1829, type, sK1064: real > real).
% 59.09/9.96  tff(func_def_1830, type, sK1065: (real * real) > nat).
% 59.09/9.96  tff(func_def_1831, type, sK1066: int > nat).
% 59.09/9.96  tff(func_def_1832, type, sK1067: int > nat).
% 59.09/9.96  tff(func_def_1833, type, sK1068: int > nat).
% 59.09/9.96  tff(func_def_1834, type, sK1069: int > nat).
% 59.09/9.96  tff(func_def_1835, type, sK1070: int > nat).
% 59.09/9.96  tff(func_def_1836, type, sK1071: int > nat).
% 59.09/9.96  tff(func_def_1837, type, sK1072: int > nat).
% 59.09/9.96  tff(func_def_1838, type, sK1073: nat > nat).
% 59.09/9.96  tff(func_def_1839, type, sK1074: real > nat).
% 59.09/9.96  tff(func_def_1840, type, sK1075: real > nat).
% 59.09/9.96  tff(func_def_1841, type, sK1076: fun(nat,real) > fun(nat,int)).
% 59.09/9.96  tff(func_def_1842, type, sK1077: (fun(nat,rat) * rat * nat) > nat).
% 59.09/9.96  tff(func_def_1843, type, sK1078: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1844, type, sK1079: fun(nat,rat) > nat).
% 59.09/9.96  tff(func_def_1845, type, sK1080: real > real).
% 59.09/9.96  tff(func_def_1846, type, sK1081: real > real).
% 59.09/9.96  tff(func_def_1847, type, sK1082: real > real).
% 59.09/9.96  tff(func_def_1848, type, sK1083: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 59.09/9.96  tff(func_def_1849, type, sK1084: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 59.09/9.96  tff(func_def_1850, type, sK1085: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1851, type, sK1086: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1852, type, sK1087: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1853, type, sK1088: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_1854, type, sK1089: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1855, type, sK1090: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1856, type, sK1091: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_1857, type, sK1092: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1858, type, sK1093: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > X0)).
% 59.09/9.96  tff(func_def_1859, type, sK1094: !>[X0: $tType]:((set(X0) * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1860, type, sK1095: !>[X0: $tType]:((set(X0) * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1861, type, sK1096: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1862, type, sK1097: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_1863, type, sK1098: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1864, type, sK1099: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1865, type, sK1100: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1866, type, sK1101: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1867, type, sK1102: !>[X0: $tType]:((X0) > X0)).
% 59.09/9.96  tff(func_def_1868, type, sK1103: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_1869, type, sK1104: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1870, type, sK1105: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1871, type, sK1106: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_1872, type, sK1107: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1873, type, sK1108: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_1874, type, sK1109: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1875, type, sK1110: !>[X0: $tType]:((X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1876, type, sK1111: !>[X0: $tType]:((X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1877, type, sK1112: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1878, type, sK1113: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1879, type, sK1114: !>[X0: $tType]:((X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1880, type, sK1115: !>[X0: $tType]:((X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1881, type, sK1116: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1882, type, sK1117: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1883, type, sK1118: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1884, type, sK1119: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 59.09/9.96  tff(func_def_1885, type, sK1120: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1886, type, sK1121: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1887, type, sK1122: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1888, type, sK1123: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1889, type, sK1124: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1890, type, sK1125: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1891, type, sK1126: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1892, type, sK1127: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1893, type, sK1128: !>[X0: $tType]:((fun(nat,X0) * set(nat)) > nat)).
% 59.09/9.96  tff(func_def_1894, type, sK1129: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1895, type, sK1130: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_1896, type, sK1131: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1897, type, sK1132: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1898, type, sK1133: !>[X0: $tType]:((fun(nat,nat) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1899, type, sK1134: !>[X0: $tType]:((set(nat) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1900, type, sK1135: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1901, type, sK1136: !>[X0: $tType]:((fun(nat,nat) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1902, type, sK1137: !>[X0: $tType]:((set(nat) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1903, type, sK1138: !>[X0: $tType]:((set(nat) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1904, type, sK1139: !>[X0: $tType]:((fun(nat,nat) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_1905, type, sK1140: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1906, type, sK1141: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1907, type, sK1142: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1908, type, sK1143: !>[X0: $tType]:((X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_1909, type, sK1144: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1910, type, sK1145: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1911, type, sK1146: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_1912, type, sK1147: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_1913, type, sK1148: int > nat).
% 59.09/9.96  tff(func_def_1914, type, sK1149: int > nat).
% 59.09/9.96  tff(func_def_1915, type, sK1150: int > nat).
% 59.09/9.96  tff(func_def_1916, type, sK1151: int > nat).
% 59.09/9.96  tff(func_def_1917, type, sK1152: int > nat).
% 59.09/9.96  tff(func_def_1918, type, sK1153: int > nat).
% 59.09/9.96  tff(func_def_1919, type, sK1154: nat > nat).
% 59.09/9.96  tff(func_def_1920, type, sK1155: nat > nat).
% 59.09/9.96  tff(func_def_1921, type, sK1156: fun(nat,real) > real).
% 59.09/9.96  tff(func_def_1922, type, sK1157: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1923, type, sK1158: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_1924, type, sK1159: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1925, type, sK1160: (fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_1926, type, sK1161: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_1927, type, sK1162: (fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_1928, type, sK1163: (fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_1929, type, sK1164: fun(nat,real) > real).
% 59.09/9.96  tff(func_def_1930, type, sK1165: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_1931, type, sK1166: rat > int).
% 59.09/9.96  tff(func_def_1932, type, sK1167: rat > int).
% 59.09/9.96  tff(func_def_1933, type, sK1168: set(nat) > nat).
% 59.09/9.96  tff(func_def_1934, type, sK1169: set(nat) > nat).
% 59.09/9.96  tff(func_def_1935, type, sK1170: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1936, type, sK1171: product_prod(vEBT_VEBT,extended_enat) > nat).
% 59.09/9.96  tff(func_def_1937, type, sK1172: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1938, type, sK1173: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1939, type, sK1174: product_prod(vEBT_VEBT,extended_enat) > nat).
% 59.09/9.96  tff(func_def_1940, type, sK1175: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1941, type, sK1176: product_prod(vEBT_VEBT,extended_enat) > nat).
% 59.09/9.96  tff(func_def_1942, type, sK1177: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1943, type, sK1178: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1944, type, sK1179: product_prod(vEBT_VEBT,extended_enat) > bool).
% 59.09/9.96  tff(func_def_1945, type, sK1180: product_prod(vEBT_VEBT,extended_enat) > bool).
% 59.09/9.96  tff(func_def_1946, type, sK1181: product_prod(vEBT_VEBT,extended_enat) > extended_enat).
% 59.09/9.96  tff(func_def_1947, type, sK1182: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1948, type, sK1183: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1949, type, sK1184: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1950, type, sK1185: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1951, type, sK1186: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1952, type, sK1187: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1953, type, sK1188: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1954, type, sK1189: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1955, type, sK1190: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1956, type, sK1191: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1957, type, sK1192: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1958, type, sK1193: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1959, type, sK1194: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1960, type, sK1195: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1961, type, sK1196: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1962, type, sK1197: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1963, type, sK1198: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1964, type, sK1199: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1965, type, sK1200: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_1966, type, sK1201: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_1967, type, sK1202: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1968, type, sK1203: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1969, type, sK1204: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1970, type, sK1205: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1971, type, sK1206: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1972, type, sK1207: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1973, type, sK1208: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_1974, type, sK1209: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1975, type, sK1210: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1976, type, sK1211: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1977, type, sK1212: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_1978, type, sK1213: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_1979, type, sK1214: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1980, type, sK1215: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1981, type, sK1216: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1982, type, sK1217: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1983, type, sK1218: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1984, type, sK1219: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1985, type, sK1220: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1986, type, sK1221: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_1987, type, sK1222: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1988, type, sK1223: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1989, type, sK1224: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1990, type, sK1225: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_1991, type, sK1226: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1992, type, sK1227: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1993, type, sK1228: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1994, type, sK1229: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1995, type, sK1230: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_1996, type, sK1231: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_1997, type, sK1232: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_1998, type, sK1233: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_1999, type, sK1234: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_2000, type, sK1235: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_2001, type, sK1236: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2002, type, sK1237: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_2003, type, sK1238: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2004, type, sK1239: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2005, type, sK1240: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_2006, type, sK1241: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_2007, type, sK1242: product_prod(vEBT_VEBT,nat) > bool).
% 59.09/9.96  tff(func_def_2008, type, sK1243: product_prod(vEBT_VEBT,nat) > nat).
% 59.09/9.96  tff(func_def_2009, type, sK1244: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2010, type, sK1245: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2011, type, sK1246: vEBT_VEBT > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2012, type, sK1247: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_2013, type, sK1248: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2014, type, sK1249: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2015, type, sK1250: set(real) > real).
% 59.09/9.96  tff(func_def_2016, type, sK1251: (set(real) * real) > real).
% 59.09/9.96  tff(func_def_2017, type, sK1252: (set(real) * real) > real).
% 59.09/9.96  tff(func_def_2018, type, sK1253: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_2019, type, sK1254: (fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_2020, type, sK1255: (fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_2021, type, sK1256: (fun(nat,rat) * rat) > nat).
% 59.09/9.96  tff(func_def_2022, type, sK1257: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_2023, type, sK1258: (fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_2024, type, sK1259: (fun(nat,rat) * rat) > nat).
% 59.09/9.96  tff(func_def_2025, type, sK1260: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2026, type, sK1261: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2027, type, sK1262: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2028, type, sK1263: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2029, type, sK1264: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2030, type, sK1265: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2031, type, sK1266: real > nat).
% 59.09/9.96  tff(func_def_2032, type, sK1267: real > nat).
% 59.09/9.96  tff(func_def_2033, type, sK1268: real > int).
% 59.09/9.96  tff(func_def_2034, type, sK1269: real > int).
% 59.09/9.96  tff(func_def_2035, type, sK1270: (real * rat * nat) > nat).
% 59.09/9.96  tff(func_def_2036, type, sK1271: real > rat).
% 59.09/9.96  tff(func_def_2037, type, sK1272: real > nat).
% 59.09/9.96  tff(func_def_2038, type, sK1273: set(int) > int).
% 59.09/9.96  tff(func_def_2039, type, sK1274: (set(int) * int) > int).
% 59.09/9.96  tff(func_def_2040, type, sK1275: set(nat) > nat).
% 59.09/9.96  tff(func_def_2041, type, sK1276: (set(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2042, type, sK1277: real > int).
% 59.09/9.96  tff(func_def_2043, type, sK1278: real > int).
% 59.09/9.96  tff(func_def_2044, type, sK1279: real > int).
% 59.09/9.96  tff(func_def_2045, type, sK1280: real > nat).
% 59.09/9.96  tff(func_def_2046, type, sK1281: (set(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2047, type, sK1282: set(nat) > nat).
% 59.09/9.96  tff(func_def_2048, type, sK1283: real > nat).
% 59.09/9.96  tff(func_def_2049, type, sK1284: real > nat).
% 59.09/9.96  tff(func_def_2050, type, sK1285: real > int).
% 59.09/9.96  tff(func_def_2051, type, sK1286: real > nat).
% 59.09/9.96  tff(func_def_2052, type, sK1287: real > nat).
% 59.09/9.96  tff(func_def_2053, type, sK1288: real > int).
% 59.09/9.96  tff(func_def_2054, type, sK1289: (fun(nat,rat) * rat * nat) > nat).
% 59.09/9.96  tff(func_def_2055, type, sK1290: fun(nat,rat) > rat).
% 59.09/9.96  tff(func_def_2056, type, sK1291: fun(nat,rat) > nat).
% 59.09/9.96  tff(func_def_2057, type, sK1292: real > nat).
% 59.09/9.96  tff(func_def_2058, type, sK1293: nat > nat).
% 59.09/9.96  tff(func_def_2059, type, sK1294: complex > int).
% 59.09/9.96  tff(func_def_2060, type, sK1295: fun(nat,bool) > int).
% 59.09/9.96  tff(func_def_2061, type, sK1296: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2062, type, sK1297: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2063, type, sK1298: fun(nat,bool) > int).
% 59.09/9.96  tff(func_def_2064, type, sK1299: real > int).
% 59.09/9.96  tff(func_def_2065, type, sK1300: int > nat).
% 59.09/9.96  tff(func_def_2066, type, sK1301: product_prod(nat,nat) > nat).
% 59.09/9.96  tff(func_def_2067, type, sK1302: product_prod(nat,nat) > nat).
% 59.09/9.96  tff(func_def_2068, type, sK1303: int > nat).
% 59.09/9.96  tff(func_def_2069, type, sK1304: int > nat).
% 59.09/9.96  tff(func_def_2070, type, sK1305: int > nat).
% 59.09/9.96  tff(func_def_2071, type, sK1306: int > nat).
% 59.09/9.96  tff(func_def_2072, type, sK1307: int > nat).
% 59.09/9.96  tff(func_def_2073, type, sK1308: int > int).
% 59.09/9.96  tff(func_def_2074, type, sK1309: rat > int).
% 59.09/9.96  tff(func_def_2075, type, sK1310: rat > int).
% 59.09/9.96  tff(func_def_2076, type, sK1311: real > real).
% 59.09/9.96  tff(func_def_2077, type, sK1312: real > real).
% 59.09/9.96  tff(func_def_2078, type, sK1313: real > real).
% 59.09/9.96  tff(func_def_2079, type, sK1314: real > real).
% 59.09/9.96  tff(func_def_2080, type, sK1315: real > real).
% 59.09/9.96  tff(func_def_2081, type, sK1316: rat > product_prod(int,int)).
% 59.09/9.96  tff(func_def_2082, type, sK1317: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 59.09/9.96  tff(func_def_2083, type, sK1318: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 59.09/9.96  tff(func_def_2084, type, sK1319: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 59.09/9.96  tff(func_def_2085, type, sK1320: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 59.09/9.96  tff(func_def_2086, type, sK1321: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 59.09/9.96  tff(func_def_2087, type, sK1322: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X0)).
% 59.09/9.96  tff(func_def_2088, type, sK1323: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 59.09/9.96  tff(func_def_2089, type, sK1324: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X0)).
% 59.09/9.96  tff(func_def_2090, type, sK1325: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 59.09/9.96  tff(func_def_2091, type, sK1326: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2092, type, sK1327: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X1)).
% 59.09/9.96  tff(func_def_2093, type, sK1328: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 59.09/9.96  tff(func_def_2094, type, sK1329: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 59.09/9.96  tff(func_def_2095, type, sK1330: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2096, type, sK1331: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2097, type, sK1332: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2098, type, sK1333: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2099, type, sK1334: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_2100, type, sK1335: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_2101, type, sK1336: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 59.09/9.96  tff(func_def_2102, type, sK1337: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 59.09/9.96  tff(func_def_2103, type, sK1338: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 59.09/9.96  tff(func_def_2104, type, sK1339: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 59.09/9.96  tff(func_def_2105, type, sK1340: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 59.09/9.96  tff(func_def_2106, type, sK1341: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 59.09/9.96  tff(func_def_2107, type, sK1342: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 59.09/9.96  tff(func_def_2108, type, sK1343: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 59.09/9.96  tff(func_def_2109, type, sK1344: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2110, type, sK1345: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2111, type, sK1346: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2112, type, sK1347: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * filter(X1)) > X0)).
% 59.09/9.96  tff(func_def_2113, type, sK1348: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 59.09/9.96  tff(func_def_2114, type, sK1349: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 59.09/9.96  tff(func_def_2115, type, sK1350: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 59.09/9.96  tff(func_def_2116, type, sK1351: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > X1)).
% 59.09/9.96  tff(func_def_2117, type, sK1352: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > X1)).
% 59.09/9.96  tff(func_def_2118, type, sK1353: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2119, type, sK1354: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2120, type, sK1355: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2121, type, sK1356: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2122, type, sK1357: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1 * X1) > X0)).
% 59.09/9.96  tff(func_def_2123, type, sK1358: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2124, type, sK1359: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 59.09/9.96  tff(func_def_2125, type, sK1360: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_2126, type, sK1361: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2127, type, sK1362: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2128, type, sK1363: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2129, type, sK1364: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2130, type, sK1365: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2131, type, sK1366: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2132, type, sK1367: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2133, type, sK1368: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_2134, type, sK1369: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2135, type, sK1370: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2136, type, sK1371: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2137, type, sK1372: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2138, type, sK1373: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2139, type, sK1374: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2140, type, sK1375: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2141, type, sK1376: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2142, type, sK1377: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2143, type, sK1378: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2144, type, sK1379: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2145, type, sK1380: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2146, type, sK1381: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2147, type, sK1382: (fun(nat,rat) * fun(nat,rat)) > rat).
% 59.09/9.96  tff(func_def_2148, type, sK1383: (fun(nat,rat) * fun(nat,rat) * nat) > nat).
% 59.09/9.96  tff(func_def_2149, type, sK1384: (fun(nat,rat) * fun(nat,rat) * rat) > nat).
% 59.09/9.96  tff(func_def_2150, type, sK1385: (fun(nat,rat) * rat) > nat).
% 59.09/9.96  tff(func_def_2151, type, sK1386: (fun(nat,rat) * real) > nat).
% 59.09/9.96  tff(func_def_2152, type, sK1387: (fun(nat,rat) * real) > nat).
% 59.09/9.96  tff(func_def_2153, type, sK1388: (fun(nat,rat) * real) > nat).
% 59.09/9.96  tff(func_def_2154, type, sK1389: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2155, type, sK1390: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2156, type, sK1391: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 59.09/9.96  tff(func_def_2157, type, sK1392: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 59.09/9.96  tff(func_def_2158, type, sK1393: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2159, type, sK1394: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 59.09/9.96  tff(func_def_2160, type, sK1395: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2161, type, sK1396: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2162, type, sK1397: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2163, type, sK1398: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2164, type, sK1399: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2165, type, sK1400: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2166, type, sK1401: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2167, type, sK1402: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2168, type, sK1403: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2169, type, sK1404: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2170, type, sK1405: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2171, type, sK1406: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2172, type, sK1407: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2173, type, sK1408: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2174, type, sK1409: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2175, type, sK1410: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2176, type, sK1411: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2177, type, sK1412: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2178, type, sK1413: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2179, type, sK1414: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2180, type, sK1415: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2181, type, sK1416: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2182, type, sK1417: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2183, type, sK1418: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2184, type, sK1419: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2185, type, sK1420: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2186, type, sK1421: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2187, type, sK1422: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 59.09/9.96  tff(func_def_2188, type, sK1423: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > set(X0))).
% 59.09/9.96  tff(func_def_2189, type, sK1424: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2190, type, sK1425: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 59.09/9.96  tff(func_def_2191, type, sK1426: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2192, type, sK1427: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2193, type, sK1428: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2194, type, sK1429: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2195, type, sK1430: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2196, type, sK1431: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2197, type, sK1432: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2198, type, sK1433: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2199, type, sK1434: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2200, type, sK1435: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2201, type, sK1436: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2202, type, sK1437: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2203, type, sK1438: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2204, type, sK1439: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2205, type, sK1440: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2206, type, sK1441: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_2207, type, sK1442: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2208, type, sK1443: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2209, type, sK1444: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2210, type, sK1445: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2211, type, sK1446: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2212, type, sK1447: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2213, type, sK1448: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2214, type, sK1449: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2215, type, sK1450: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2216, type, sK1451: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,bool) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2217, type, sK1452: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2218, type, sK1453: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2219, type, sK1454: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * X1) > X1)).
% 59.09/9.96  tff(func_def_2220, type, sK1455: !>[X0: $tType, X1: $tType]:((X1) > X0)).
% 59.09/9.96  tff(func_def_2221, type, sK1456: !>[X0: $tType, X1: $tType]:((X1) > X0)).
% 59.09/9.96  tff(func_def_2222, type, sK1457: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool) * X1) > X1)).
% 59.09/9.96  tff(func_def_2223, type, sK1458: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * fun(X0,X1) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_2224, type, sK1459: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * X1 * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2225, type, sK1460: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2226, type, sK1461: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2227, type, sK1462: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2228, type, sK1463: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2229, type, sK1464: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2230, type, sK1465: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2231, type, sK1466: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2232, type, sK1467: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2233, type, sK1468: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2234, type, sK1469: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2235, type, sK1470: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2236, type, sK1471: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2237, type, sK1472: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2238, type, sK1473: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2239, type, sK1474: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2240, type, sK1475: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2241, type, sK1476: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2242, type, sK1477: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2243, type, sK1478: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2244, type, sK1479: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2245, type, sK1480: vEBT_VEBT > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2246, type, sK1481: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2247, type, sK1482: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2248, type, sK1483: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2249, type, sK1484: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2250, type, sK1485: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2251, type, sK1486: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2252, type, sK1487: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2253, type, sK1488: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2254, type, sK1489: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2255, type, sK1490: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2256, type, sK1491: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2257, type, sK1492: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2258, type, sK1493: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2259, type, sK1494: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2260, type, sK1495: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2261, type, sK1496: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2262, type, sK1497: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2263, type, sK1498: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2264, type, sK1499: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2265, type, sK1500: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2266, type, sK1501: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2267, type, sK1502: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2268, type, sK1503: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2269, type, sK1504: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2270, type, sK1505: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2271, type, sK1506: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2272, type, sK1507: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2273, type, sK1508: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2274, type, sK1509: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2275, type, sK1510: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2276, type, sK1511: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2277, type, sK1512: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2278, type, sK1513: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2279, type, sK1514: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2280, type, sK1515: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2281, type, sK1516: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2282, type, sK1517: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2283, type, sK1518: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2284, type, sK1519: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2285, type, sK1520: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2286, type, sK1521: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2287, type, sK1522: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2288, type, sK1523: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2289, type, sK1524: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2290, type, sK1525: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2291, type, sK1526: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2292, type, sK1527: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2293, type, sK1528: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2294, type, sK1529: (fun(nat,rat) * rat) > nat).
% 59.09/9.96  tff(func_def_2295, type, sK1530: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2296, type, sK1531: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2297, type, sK1532: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2298, type, sK1533: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2299, type, sK1534: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2300, type, sK1535: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2301, type, sK1536: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2302, type, sK1537: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2303, type, sK1538: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2304, type, sK1539: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2305, type, sK1540: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2306, type, sK1541: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2307, type, sK1542: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2308, type, sK1543: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2309, type, sK1544: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2310, type, sK1545: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2311, type, sK1546: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2312, type, sK1547: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2313, type, sK1548: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2314, type, sK1549: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2315, type, sK1550: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2316, type, sK1551: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2317, type, sK1552: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2318, type, sK1553: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2319, type, sK1554: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2320, type, sK1555: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2321, type, sK1556: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2322, type, sK1557: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2323, type, sK1558: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2324, type, sK1559: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2325, type, sK1560: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2326, type, sK1561: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2327, type, sK1562: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2328, type, sK1563: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2329, type, sK1564: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2330, type, sK1565: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2331, type, sK1566: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2332, type, sK1567: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2333, type, sK1568: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2334, type, sK1569: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2335, type, sK1570: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2336, type, sK1571: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2337, type, sK1572: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2338, type, sK1573: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2339, type, sK1574: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2340, type, sK1575: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2341, type, sK1576: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2342, type, sK1577: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2343, type, sK1578: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2344, type, sK1579: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2345, type, sK1580: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2346, type, sK1581: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2347, type, sK1582: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2348, type, sK1583: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2349, type, sK1584: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2350, type, sK1585: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2351, type, sK1586: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2352, type, sK1587: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2353, type, sK1588: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2354, type, sK1589: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2355, type, sK1590: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2356, type, sK1591: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2357, type, sK1592: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2358, type, sK1593: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2359, type, sK1594: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2360, type, sK1595: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2361, type, sK1596: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2362, type, sK1597: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2363, type, sK1598: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2364, type, sK1599: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2365, type, sK1600: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2366, type, sK1601: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2367, type, sK1602: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2368, type, sK1603: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2369, type, sK1604: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2370, type, sK1605: (list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2371, type, sK1606: (list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2372, type, sK1607: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2373, type, sK1608: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2374, type, sK1609: (real * nat) > real).
% 59.09/9.96  tff(func_def_2375, type, sK1610: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2376, type, sK1611: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2377, type, sK1612: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2378, type, sK1613: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2379, type, sK1614: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2380, type, sK1615: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2381, type, sK1616: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2382, type, sK1617: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2383, type, sK1618: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2384, type, sK1619: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2385, type, sK1620: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2386, type, sK1621: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2387, type, sK1622: (set(real) * fun(real,real)) > real).
% 59.09/9.96  tff(func_def_2388, type, sK1623: (set(real) * fun(real,real)) > real).
% 59.09/9.96  tff(func_def_2389, type, sK1624: fun(num,bool) > num).
% 59.09/9.96  tff(func_def_2390, type, sK1625: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2391, type, sK1626: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2392, type, sK1627: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2393, type, sK1628: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2394, type, sK1629: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2395, type, sK1630: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2396, type, sK1631: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2397, type, sK1632: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2398, type, sK1633: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2399, type, sK1634: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2400, type, sK1635: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2401, type, sK1636: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2402, type, sK1637: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2403, type, sK1638: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_2404, type, sK1639: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2405, type, sK1640: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2406, type, sK1641: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_2407, type, sK1642: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2408, type, sK1643: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2409, type, sK1644: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2410, type, sK1645: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2411, type, sK1646: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2412, type, sK1647: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2413, type, sK1648: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2414, type, sK1649: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_2415, type, sK1650: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2416, type, sK1651: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2417, type, sK1652: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_2418, type, sK1653: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2419, type, sK1654: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2420, type, sK1655: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_2421, type, sK1656: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2422, type, sK1657: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2423, type, sK1658: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2424, type, sK1659: (vEBT_VEBT * nat) > bool).
% 59.09/9.96  tff(func_def_2425, type, sK1660: (int * int) > int).
% 59.09/9.96  tff(func_def_2426, type, sK1661: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2427, type, sK1662: fun(int,bool) > int).
% 59.09/9.96  tff(func_def_2428, type, sK1663: fun(int,bool) > int).
% 59.09/9.96  tff(func_def_2429, type, sK1664: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2430, type, sK1665: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2431, type, sK1666: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2432, type, sK1667: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2433, type, sK1668: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2434, type, sK1669: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2435, type, sK1670: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2436, type, sK1671: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2437, type, sK1672: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2438, type, sK1673: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2439, type, sK1674: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2440, type, sK1675: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2441, type, sK1676: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2442, type, sK1677: (nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2443, type, sK1678: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2444, type, sK1679: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2445, type, sK1680: (vEBT_VEBT * nat) > nat).
% 59.09/9.96  tff(func_def_2446, type, sK1681: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2447, type, sK1682: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2448, type, sK1683: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_2449, type, sK1684: (list(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2450, type, sK1685: (list(nat) * nat) > list(nat)).
% 59.09/9.96  tff(func_def_2451, type, sK1686: (list(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2452, type, sK1687: (list(nat) * nat) > list(nat)).
% 59.09/9.96  tff(func_def_2453, type, sK1688: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2454, type, sK1689: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2455, type, sK1690: !>[X0: $tType]:((set(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2456, type, sK1691: !>[X0: $tType]:((set(X0)) > fun(X0,nat))).
% 59.09/9.96  tff(func_def_2457, type, sK1692: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_2458, type, sK1693: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_2459, type, sK1694: !>[X0: $tType]:((set(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2460, type, sK1695: !>[X0: $tType]:((set(X0)) > fun(X0,nat))).
% 59.09/9.96  tff(func_def_2461, type, sK1696: !>[X0: $tType]:((set(X0)) > nat)).
% 59.09/9.96  tff(func_def_2462, type, sK1697: !>[X0: $tType]:((set(X0)) > nat)).
% 59.09/9.96  tff(func_def_2463, type, sK1698: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_2464, type, sK1699: (nat * list(nat)) > nat).
% 59.09/9.96  tff(func_def_2465, type, sK1700: (nat * list(nat)) > nat).
% 59.09/9.96  tff(func_def_2466, type, sK1701: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2467, type, sK1702: !>[X0: $tType]:((set(list(X0))) > nat)).
% 59.09/9.96  tff(func_def_2468, type, sK1703: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 59.09/9.96  tff(func_def_2469, type, sK1704: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2470, type, sK1705: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2471, type, sK1706: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2472, type, sK1707: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2473, type, sK1708: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2474, type, sK1709: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2475, type, sK1710: (vEBT_VEBT * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2476, type, sK1711: (real * real) > real).
% 59.09/9.96  tff(func_def_2477, type, sK1712: (real * real) > rat).
% 59.09/9.96  tff(func_def_2478, type, sK1713: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2479, type, sK1714: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2480, type, sK1715: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2481, type, sK1716: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2482, type, sK1717: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2483, type, sK1718: (real * real) > real).
% 59.09/9.96  tff(func_def_2484, type, sK1719: (real * real) > nat).
% 59.09/9.96  tff(func_def_2485, type, sK1720: (real * real) > real).
% 59.09/9.96  tff(func_def_2486, type, sK1721: (real * real) > nat).
% 59.09/9.96  tff(func_def_2487, type, sK1722: (real * real) > nat).
% 59.09/9.96  tff(func_def_2488, type, sK1723: (real * nat) > real).
% 59.09/9.96  tff(func_def_2489, type, sK1724: (real * nat) > real).
% 59.09/9.96  tff(func_def_2490, type, sK1725: (real * nat) > real).
% 59.09/9.96  tff(func_def_2491, type, sK1726: fun(int,bool) > int).
% 59.09/9.96  tff(func_def_2492, type, sK1727: (fun(int,bool) * int) > int).
% 59.09/9.96  tff(func_def_2493, type, sK1728: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2494, type, sK1729: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2495, type, sK1730: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2496, type, sK1731: (nat * real) > real).
% 59.09/9.96  tff(func_def_2497, type, sK1732: (nat * real) > real).
% 59.09/9.96  tff(func_def_2498, type, sK1733: (nat * real) > real).
% 59.09/9.96  tff(func_def_2499, type, sK1734: (nat * real) > real).
% 59.09/9.96  tff(func_def_2500, type, sK1735: (extended_enat * nat) > nat).
% 59.09/9.96  tff(func_def_2501, type, sK1736: nat > nat).
% 59.09/9.96  tff(func_def_2502, type, sK1737: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2503, type, sK1738: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2504, type, sK1739: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2505, type, sK1740: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2506, type, sK1741: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2507, type, sK1742: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2508, type, sK1743: (fun(nat,real) * nat) > nat).
% 59.09/9.96  tff(func_def_2509, type, sK1744: (fun(nat,real) * real) > fun(nat,int)).
% 59.09/9.96  tff(func_def_2510, type, sK1745: (real * real) > real).
% 59.09/9.96  tff(func_def_2511, type, sK1746: (real * real) > real).
% 59.09/9.96  tff(func_def_2512, type, sK1747: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > fun(nat,X1))).
% 59.09/9.96  tff(func_def_2513, type, sK1748: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > fun(nat,X1))).
% 59.09/9.96  tff(func_def_2514, type, sK1749: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 59.09/9.96  tff(func_def_2515, type, sK1750: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2516, type, sK1751: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2517, type, sK1752: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 59.09/9.96  tff(func_def_2518, type, sK1753: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2519, type, sK1754: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2520, type, sK1755: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2521, type, sK1756: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 59.09/9.96  tff(func_def_2522, type, sK1757: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2523, type, sK1758: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2524, type, sK1759: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2525, type, sK1760: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2526, type, sK1761: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2527, type, sK1762: !>[X0: $tType, X1: $tType]:((real * fun(nat,real) * fun(X1,fun(nat,X0))) > X1)).
% 59.09/9.96  tff(func_def_2528, type, sK1763: !>[X0: $tType, X1: $tType]:((real * fun(nat,real) * fun(X1,fun(nat,X0))) > nat)).
% 59.09/9.96  tff(func_def_2529, type, sK1764: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 59.09/9.96  tff(func_def_2530, type, sK1765: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 59.09/9.96  tff(func_def_2531, type, sK1766: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2532, type, sK1767: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2533, type, sK1768: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2534, type, sK1769: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * real) > X1)).
% 59.09/9.96  tff(func_def_2535, type, sK1770: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * X0) > real)).
% 59.09/9.96  tff(func_def_2536, type, sK1771: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * X0 * real) > X1)).
% 59.09/9.96  tff(func_def_2537, type, sK1772: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2538, type, sK1773: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1) > fun(X1,X0))).
% 59.09/9.96  tff(func_def_2539, type, sK1774: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1) > real)).
% 59.09/9.96  tff(func_def_2540, type, sK1775: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * real) > X1)).
% 59.09/9.96  tff(func_def_2541, type, sK1776: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * real) > real)).
% 59.09/9.96  tff(func_def_2542, type, sK1777: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * real) > real)).
% 59.09/9.96  tff(func_def_2543, type, sK1778: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2544, type, sK1779: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > fun(X0,X1))).
% 59.09/9.96  tff(func_def_2545, type, sK1780: !>[X0: $tType, X1: $tType]:((real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real)) > X1)).
% 59.09/9.96  tff(func_def_2546, type, sK1781: !>[X0: $tType, X1: $tType]:((real * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2547, type, sK1782: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X1 * X1) > X1)).
% 59.09/9.96  tff(func_def_2548, type, sK1783: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2549, type, sK1784: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2550, type, sK1785: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2551, type, sK1786: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_2552, type, sK1787: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X0,bool) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2553, type, sK1788: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2554, type, sK1789: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2555, type, sK1790: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_2556, type, sK1791: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_2557, type, sK1792: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X0,bool) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2558, type, sK1793: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_2559, type, sK1794: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2560, type, sK1795: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2561, type, sK1796: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2562, type, sK1797: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2563, type, sK1798: !>[X0: $tType, X1: $tType]:((X1 * set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2564, type, sK1799: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2565, type, sK1800: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_2566, type, sK1801: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2567, type, sK1802: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2568, type, sK1803: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2569, type, sK1804: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2570, type, sK1805: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2571, type, sK1806: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * X0) > X1)).
% 59.09/9.96  tff(func_def_2572, type, sK1807: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0)) > X0)).
% 59.09/9.96  tff(func_def_2573, type, sK1808: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * X0) > X1)).
% 59.09/9.96  tff(func_def_2574, type, sK1809: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0)) > X0)).
% 59.09/9.96  tff(func_def_2575, type, sK1810: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2576, type, sK1811: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2577, type, sK1812: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2578, type, sK1813: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2579, type, sK1814: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2580, type, sK1815: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2581, type, sK1816: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2582, type, sK1817: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2583, type, sK1818: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2584, type, sK1819: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2585, type, sK1820: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2586, type, sK1821: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2587, type, sK1822: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2588, type, sK1823: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2589, type, sK1824: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2590, type, sK1825: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2591, type, sK1826: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2592, type, sK1827: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2593, type, sK1828: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2594, type, sK1829: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2595, type, sK1830: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2596, type, sK1831: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2597, type, sK1832: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2598, type, sK1833: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2599, type, sK1834: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2600, type, sK1835: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2601, type, sK1836: (bool * vEBT_VEBT) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_2602, type, sK1837: (bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2603, type, sK1838: (bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2604, type, sK1839: (bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2605, type, sK1840: (bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2606, type, sK1841: (bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2607, type, sK1842: (bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2608, type, sK1843: (bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2609, type, sK1844: (bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2610, type, sK1845: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2611, type, sK1846: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2612, type, sK1847: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_2613, type, sK1848: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_2614, type, sK1849: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2615, type, sK1850: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2616, type, sK1851: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_2617, type, sK1852: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2618, type, sK1853: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2619, type, sK1854: fun(int,bool) > nat).
% 59.09/9.96  tff(func_def_2620, type, sK1855: fun(int,bool) > nat).
% 59.09/9.96  tff(func_def_2621, type, sK1856: fun(int,bool) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_2622, type, sK1857: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2623, type, sK1858: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2624, type, sK1859: (fun(nat,real) * real) > real).
% 59.09/9.96  tff(func_def_2625, type, sK1860: (fun(nat,real) * real) > nat).
% 59.09/9.96  tff(func_def_2626, type, sK1861: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2627, type, sK1862: (fun(nat,real) * fun(nat,real)) > real).
% 59.09/9.96  tff(func_def_2628, type, sK1863: (fun(nat,real) * fun(nat,real)) > nat).
% 59.09/9.96  tff(func_def_2629, type, sK1864: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2630, type, sK1865: fun(nat,real) > nat).
% 59.09/9.96  tff(func_def_2631, type, sK1866: fun(real,bool) > fun(nat,rat)).
% 59.09/9.96  tff(func_def_2632, type, sK1867: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2633, type, sK1868: (nat * set(nat)) > nat).
% 59.09/9.96  tff(func_def_2634, type, sK1869: (set(int) * int) > int).
% 59.09/9.96  tff(func_def_2635, type, sK1870: (set(int) * int) > int).
% 59.09/9.96  tff(func_def_2636, type, sK1871: (set(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2637, type, sK1872: (set(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2638, type, sK1873: (set(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2639, type, sK1874: (set(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2640, type, sK1875: fun(real,bool) > fun(nat,rat)).
% 59.09/9.96  tff(func_def_2641, type, sK1876: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2642, type, sK1877: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2643, type, sK1878: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2644, type, sK1879: fun(real,bool) > nat).
% 59.09/9.96  tff(func_def_2645, type, sK1880: fun(real,bool) > real).
% 59.09/9.96  tff(func_def_2646, type, sK1881: fun(real,bool) > real).
% 59.09/9.96  tff(func_def_2647, type, sK1882: fun(real,bool) > real).
% 59.09/9.96  tff(func_def_2648, type, sK1883: fun(real,bool) > real).
% 59.09/9.96  tff(func_def_2649, type, sK1884: fun(real,bool) > nat).
% 59.09/9.96  tff(func_def_2650, type, sK1885: fun(rat,bool) > int).
% 59.09/9.96  tff(func_def_2651, type, sK1886: fun(rat,bool) > int).
% 59.09/9.96  tff(func_def_2652, type, sK1887: fun(rat,bool) > int).
% 59.09/9.96  tff(func_def_2653, type, sK1888: fun(rat,bool) > int).
% 59.09/9.96  tff(func_def_2654, type, sK1889: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_2655, type, sK1890: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_2656, type, sK1891: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_2657, type, sK1892: (fun(nat,rat) * rat) > nat).
% 59.09/9.96  tff(func_def_2658, type, sK1893: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2659, type, sK1894: !>[X0: $tType]:((list(X0)) > X0)).
% 59.09/9.96  tff(func_def_2660, type, sK1895: !>[X0: $tType]:((list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2661, type, sK1896: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_2662, type, sK1897: !>[X0: $tType]:((list(X0)) > nat)).
% 59.09/9.96  tff(func_def_2663, type, sK1898: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_2664, type, sK1899: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_2665, type, sK1900: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_2666, type, sK1901: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2667, type, sK1902: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2668, type, sK1903: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2669, type, sK1904: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2670, type, sK1905: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2671, type, sK1906: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2672, type, sK1907: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2673, type, sK1908: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2674, type, sK1909: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2675, type, sK1910: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2676, type, sK1911: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2677, type, sK1912: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2678, type, sK1913: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2679, type, sK1914: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2680, type, sK1915: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2681, type, sK1916: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2682, type, sK1917: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_2683, type, sK1918: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2684, type, sK1919: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2685, type, sK1920: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2686, type, sK1921: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2687, type, sK1922: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2688, type, sK1923: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2689, type, sK1924: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_2690, type, sK1925: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2691, type, sK1926: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2692, type, sK1927: (nat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2693, type, sK1928: (nat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2694, type, sK1929: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2695, type, sK1930: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2696, type, sK1931: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2697, type, sK1932: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2698, type, sK1933: (list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2699, type, sK1934: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_2700, type, sK1935: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 59.09/9.96  tff(func_def_2701, type, sK1936: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2702, type, sK1937: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2703, type, sK1938: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2704, type, sK1939: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2705, type, sK1940: (list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_2706, type, sK1941: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_2707, type, sK1942: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 59.09/9.96  tff(func_def_2708, type, sK1943: (extended_enat * nat) > nat).
% 59.09/9.96  tff(func_def_2709, type, sK1944: (nat * extended_enat) > nat).
% 59.09/9.96  tff(func_def_2710, type, sK1945: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2711, type, sK1946: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2712, type, sK1947: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2713, type, sK1948: (int * int) > int).
% 59.09/9.96  tff(func_def_2714, type, sK1949: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2715, type, sK1950: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2716, type, sK1951: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_2717, type, sK1952: !>[X0: $tType]:((set(X0)) > nat)).
% 59.09/9.96  tff(func_def_2718, type, sK1953: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_2719, type, sK1954: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_2720, type, sK1955: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 59.09/9.96  tff(func_def_2721, type, sK1956: (fun(nat,bool) * int) > nat).
% 59.09/9.96  tff(func_def_2722, type, sK1957: (set(real) * real) > real).
% 59.09/9.96  tff(func_def_2723, type, sK1958: (set(nat) * nat) > nat).
% 59.09/9.96  tff(func_def_2724, type, sK1959: (int * int) > nat).
% 59.09/9.96  tff(func_def_2725, type, sK1960: (int * int) > nat).
% 59.09/9.96  tff(func_def_2726, type, sK1961: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2727, type, sK1962: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2728, type, sK1963: !>[X0: $tType]:((set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2729, type, sK1964: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2730, type, sK1965: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2731, type, sK1966: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_2732, type, sK1967: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2733, type, sK1968: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2734, type, sK1969: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2735, type, sK1970: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2736, type, sK1971: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2737, type, sK1972: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2738, type, sK1973: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2739, type, sK1974: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2740, type, sK1975: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2741, type, sK1976: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2742, type, sK1977: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2743, type, sK1978: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2744, type, sK1979: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2745, type, sK1980: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2746, type, sK1981: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2747, type, sK1982: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2748, type, sK1983: (real * nat) > real).
% 59.09/9.96  tff(func_def_2749, type, sK1984: (real * nat) > real).
% 59.09/9.96  tff(func_def_2750, type, sK1985: (real * nat) > real).
% 59.09/9.96  tff(func_def_2751, type, sK1986: (int * int) > int).
% 59.09/9.96  tff(func_def_2752, type, sK1987: (int * int) > int).
% 59.09/9.96  tff(func_def_2753, type, sK1988: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2754, type, sK1989: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2755, type, sK1990: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2756, type, sK1991: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2757, type, sK1992: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2758, type, sK1993: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2759, type, sK1994: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2760, type, sK1995: (nat * nat) > nat).
% 59.09/9.96  tff(func_def_2761, type, sK1996: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * fun(X2,fun(X1,X0)) * filter(X2)) > X1)).
% 59.09/9.96  tff(func_def_2762, type, sK1997: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * fun(X2,fun(X1,X0)) * filter(X2)) > X1)).
% 59.09/9.96  tff(func_def_2763, type, sK1998: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X0,X1) * fun(X2,X0)) > X2)).
% 59.09/9.96  tff(func_def_2764, type, sK1999: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_2765, type, sK2000: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2766, type, sK2001: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2767, type, sK2002: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2768, type, sK2003: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2769, type, sK2004: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X2,X1)) > X0)).
% 59.09/9.96  tff(func_def_2770, type, sK2005: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2771, type, sK2006: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2772, type, sK2007: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2773, type, sK2008: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2774, type, sK2009: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2775, type, sK2010: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 59.09/9.96  tff(func_def_2776, type, sK2011: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2777, type, sK2012: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2778, type, sK2013: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2779, type, sK2014: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2780, type, sK2015: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X2,X1)) > X0)).
% 59.09/9.96  tff(func_def_2781, type, sK2016: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2782, type, sK2017: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2783, type, sK2018: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2784, type, sK2019: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2785, type, sK2020: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_2786, type, sK2021: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 59.09/9.96  tff(func_def_2787, type, sK2022: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2788, type, sK2023: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(fun(X0,X1),X2) * X2) > fun(X0,X1))).
% 59.09/9.96  tff(func_def_2789, type, sK2024: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_2790, type, sK2025: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_2791, type, sK2026: !>[X0: $tType]:((list(X0) * set(nat)) > nat)).
% 59.09/9.96  tff(func_def_2792, type, sK2027: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_2793, type, sK2028: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2794, type, sK2029: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_2795, type, sK2030: (int * int * product_prod(int,int)) > int).
% 59.09/9.96  tff(func_def_2796, type, sK2031: (int * int * product_prod(int,int)) > int).
% 59.09/9.96  tff(func_def_2797, type, sK2032: (int * int * product_prod(int,int)) > int).
% 59.09/9.96  tff(func_def_2798, type, sK2033: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_2799, type, sK2034: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2800, type, sK2035: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_2801, type, sK2036: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2802, type, sK2037: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2803, type, sK2038: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2804, type, sK2039: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2805, type, sK2040: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2806, type, sK2041: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2807, type, sK2042: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2808, type, sK2043: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2809, type, sK2044: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2810, type, sK2045: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2811, type, sK2046: (vEBT_VEBT * extended_enat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2812, type, sK2047: (vEBT_VEBT * extended_enat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2813, type, sK2048: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2814, type, sK2049: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2815, type, sK2050: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2816, type, sK2051: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2817, type, sK2052: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2818, type, sK2053: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2819, type, sK2054: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2820, type, sK2055: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2821, type, sK2056: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2822, type, sK2057: (vEBT_VEBT * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2823, type, sK2058: (vEBT_VEBT * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2824, type, sK2059: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_2825, type, sK2060: (fun(int,bool) * int) > int).
% 59.09/9.96  tff(func_def_2826, type, sK2061: (fun(int,bool) * int) > int).
% 59.09/9.96  tff(func_def_2827, type, sK2062: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2828, type, sK2063: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2829, type, sK2064: fun(nat,bool) > nat).
% 59.09/9.96  tff(func_def_2830, type, sK2065: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_2831, type, sK2066: !>[X0: $tType]:((fun(X0,X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_2832, type, sK2067: !>[X0: $tType]:((set(X0) * X0) > fun(X0,X0))).
% 59.09/9.96  tff(func_def_2833, type, sK2068: !>[X0: $tType]:((set(X0) * X0) > fun(X0,X0))).
% 59.09/9.96  tff(func_def_2834, type, sK2069: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > product_prod(list(X0),list(X0)))).
% 59.09/9.96  tff(func_def_2835, type, sK2070: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 59.09/9.96  tff(func_def_2836, type, sK2071: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_2837, type, sK2072: !>[X0: $tType]:((fun(X0,nat) * set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_2838, type, sK2073: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2839, type, sK2074: !>[X0: $tType]:((fun(X0,nat) * set(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_2840, type, sK2075: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_2841, type, sK2076: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_2842, type, sK2077: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_2843, type, sK2078: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_2844, type, sK2079: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_2845, type, sK2080: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_2846, type, sK2081: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_2847, type, sK2082: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 59.09/9.96  tff(func_def_2848, type, sK2083: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2849, type, sK2084: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2850, type, sK2085: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2851, type, sK2086: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2852, type, sK2087: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2853, type, sK2088: (nat * nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2854, type, sK2089: (nat * nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2855, type, sK2090: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2856, type, sK2091: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2857, type, sK2092: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2858, type, sK2093: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2859, type, sK2094: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2860, type, sK2095: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2861, type, sK2096: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2862, type, sK2097: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2863, type, sK2098: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2864, type, sK2099: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_2865, type, sK2100: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_2866, type, sK2101: (fun(int,fun(int,bool)) * int * int) > int).
% 59.09/9.96  tff(func_def_2867, type, sK2102: (fun(int,fun(int,bool)) * int * int) > int).
% 59.09/9.96  tff(func_def_2868, type, sK2103: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2869, type, sK2104: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2870, type, sK2105: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2871, type, sK2106: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2872, type, sK2107: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2873, type, sK2108: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2874, type, sK2109: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2875, type, sK2110: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2876, type, sK2111: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2877, type, sK2112: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2878, type, sK2113: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2879, type, sK2114: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2880, type, sK2115: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2881, type, sK2116: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2882, type, sK2117: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2883, type, sK2118: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2884, type, sK2119: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2885, type, sK2120: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2886, type, sK2121: (fun(int,bool) * fun(int,bool) * int) > int).
% 59.09/9.96  tff(func_def_2887, type, sK2122: fun(int,bool) > int).
% 59.09/9.96  tff(func_def_2888, type, sK2123: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2889, type, sK2124: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2890, type, sK2125: (fun(int,bool) * fun(int,bool) * int) > int).
% 59.09/9.96  tff(func_def_2891, type, sK2126: fun(int,bool) > int).
% 59.09/9.96  tff(func_def_2892, type, sK2127: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2893, type, sK2128: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2894, type, sK2129: (fun(int,fun(int,bool)) * int * int) > int).
% 59.09/9.96  tff(func_def_2895, type, sK2130: (fun(int,fun(int,bool)) * int * int) > int).
% 59.09/9.96  tff(func_def_2896, type, sK2131: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2897, type, sK2132: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2898, type, sK2133: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2899, type, sK2134: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2900, type, sK2135: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2901, type, sK2136: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2902, type, sK2137: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2903, type, sK2138: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_2904, type, sK2139: fun(int,fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2905, type, sK2140: fun(int,fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2906, type, sK2141: fun(int,fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2907, type, sK2142: fun(int,fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_2908, type, sK2143: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_2909, type, sK2144: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_2910, type, sK2145: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2911, type, sK2146: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2912, type, sK2147: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2913, type, sK2148: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2914, type, sK2149: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2915, type, sK2150: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2916, type, sK2151: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2917, type, sK2152: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_2918, type, sK2153: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * real) > X2)).
% 59.09/9.96  tff(func_def_2919, type, sK2154: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * real) > X1)).
% 59.09/9.96  tff(func_def_2920, type, sK2155: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 59.09/9.96  tff(func_def_2921, type, sK2156: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > real)).
% 59.09/9.96  tff(func_def_2922, type, sK2157: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 59.09/9.96  tff(func_def_2923, type, sK2158: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > real)).
% 59.09/9.96  tff(func_def_2924, type, sK2159: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 59.09/9.96  tff(func_def_2925, type, sK2160: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 59.09/9.96  tff(func_def_2926, type, sK2161: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 59.09/9.96  tff(func_def_2927, type, sK2162: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 59.09/9.96  tff(func_def_2928, type, sK2163: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 59.09/9.96  tff(func_def_2929, type, sK2164: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 59.09/9.96  tff(func_def_2930, type, sK2165: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 59.09/9.96  tff(func_def_2931, type, sK2166: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 59.09/9.96  tff(func_def_2932, type, sK2167: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2)) * real) > X1)).
% 59.09/9.96  tff(func_def_2933, type, sK2168: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2)) * real) > X0)).
% 59.09/9.96  tff(func_def_2934, type, sK2169: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 59.09/9.96  tff(func_def_2935, type, sK2170: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > real)).
% 59.09/9.96  tff(func_def_2936, type, sK2171: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 59.09/9.96  tff(func_def_2937, type, sK2172: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > real)).
% 59.09/9.96  tff(func_def_2938, type, sK2173: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 59.09/9.96  tff(func_def_2939, type, sK2174: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 59.09/9.96  tff(func_def_2940, type, sK2175: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 59.09/9.96  tff(func_def_2941, type, sK2176: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 59.09/9.96  tff(func_def_2942, type, sK2177: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 59.09/9.96  tff(func_def_2943, type, sK2178: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 59.09/9.96  tff(func_def_2944, type, sK2179: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 59.09/9.96  tff(func_def_2945, type, sK2180: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 59.09/9.96  tff(func_def_2946, type, sK2181: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > real)).
% 59.09/9.96  tff(func_def_2947, type, sK2182: !>[X0: $tType, X1: $tType]:((X1 * fun(X1,X0) * real) > X1)).
% 59.09/9.96  tff(func_def_2948, type, sK2183: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * real) > X1)).
% 59.09/9.96  tff(func_def_2949, type, sK2184: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1) > X2)).
% 59.09/9.96  tff(func_def_2950, type, sK2185: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2951, type, sK2186: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_2952, type, sK2187: !>[X0: $tType]:((list(list(X0)) * nat) > nat)).
% 59.09/9.96  tff(func_def_2953, type, sK2188: (nat * bool * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2954, type, sK2189: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2955, type, sK2190: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2956, type, sK2191: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2957, type, sK2192: (nat * bool * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2958, type, sK2193: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2959, type, sK2194: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2960, type, sK2195: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2961, type, sK2196: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2962, type, sK2197: (bool * nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2963, type, sK2198: (bool * nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2964, type, sK2199: (vEBT_VEBT * nat * bool) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2965, type, sK2200: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_2966, type, sK2201: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2967, type, sK2202: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2968, type, sK2203: vEBT_VEBT > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2969, type, sK2204: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2970, type, sK2205: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2971, type, sK2206: (nat * bool * vEBT_VEBT) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2972, type, sK2207: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2973, type, sK2208: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2974, type, sK2209: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2975, type, sK2210: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2976, type, sK2211: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_2977, type, sK2212: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2978, type, sK2213: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2979, type, sK2214: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_2980, type, sK2215: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2981, type, sK2216: (vEBT_VEBT * nat * bool) > option(product_prod(nat,nat))).
% 59.09/9.96  tff(func_def_2982, type, sK2217: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_2983, type, sK2218: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2984, type, sK2219: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2985, type, sK2220: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2986, type, sK2221: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2987, type, sK2222: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2988, type, sK2223: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2989, type, sK2224: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2990, type, sK2225: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2991, type, sK2226: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2992, type, sK2227: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2993, type, sK2228: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2994, type, sK2229: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_2995, type, sK2230: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2996, type, sK2231: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2997, type, sK2232: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_2998, type, sK2233: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_2999, type, sK2234: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_3000, type, sK2235: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_3001, type, sK2236: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3002, type, sK2237: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3003, type, sK2238: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_3004, type, sK2239: vEBT_VEBT > bool).
% 59.09/9.96  tff(func_def_3005, type, sK2240: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3006, type, sK2241: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3007, type, sK2242: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3008, type, sK2243: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3009, type, sK2244: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_3010, type, sK2245: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3011, type, sK2246: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3012, type, sK2247: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_3013, type, sK2248: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_3014, type, sK2249: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_3015, type, sK2250: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3016, type, sK2251: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3017, type, sK2252: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3018, type, sK2253: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3019, type, sK2254: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3020, type, sK2255: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3021, type, sK2256: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3022, type, sK2257: (nat * bool * vEBT_VEBT) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_3023, type, sK2258: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3024, type, sK2259: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3025, type, sK2260: (nat * bool * vEBT_VEBT) > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_3026, type, sK2261: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3027, type, sK2262: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3028, type, sK2263: (nat * bool * vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3029, type, sK2264: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3030, type, sK2265: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3031, type, sK2266: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_3032, type, sK2267: (nat * bool * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_3033, type, sK2268: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_3034, type, sK2269: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3035, type, sK2270: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3036, type, sK2271: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_3037, type, sK2272: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3038, type, sK2273: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3039, type, sK2274: (bool * nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_3040, type, sK2275: (bool * nat * vEBT_VEBT) > bool).
% 59.09/9.96  tff(func_def_3041, type, sK2276: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_3042, type, sK2277: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_3043, type, sK2278: (vEBT_VEBT * nat * bool) > nat).
% 59.09/9.96  tff(func_def_3044, type, sK2279: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3045, type, sK2280: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3046, type, sK2281: vEBT_VEBT > product_prod(nat,nat)).
% 59.09/9.96  tff(func_def_3047, type, sK2282: vEBT_VEBT > list(vEBT_VEBT)).
% 59.09/9.96  tff(func_def_3048, type, sK2283: vEBT_VEBT > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3049, type, sK2284: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3050, type, sK2285: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3051, type, sK2286: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > X0)).
% 59.09/9.96  tff(func_def_3052, type, sK2287: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > X0)).
% 59.09/9.96  tff(func_def_3053, type, sK2288: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3054, type, sK2289: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3055, type, sK2290: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3056, type, sK2291: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3057, type, sK2292: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3058, type, sK2293: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3059, type, sK2294: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3060, type, sK2295: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 59.09/9.96  tff(func_def_3061, type, sK2296: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 59.09/9.96  tff(func_def_3062, type, sK2297: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 59.09/9.96  tff(func_def_3063, type, sK2298: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 59.09/9.96  tff(func_def_3064, type, sK2299: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 59.09/9.96  tff(func_def_3065, type, sK2300: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_3066, type, sK2301: (nat * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3067, type, sK2302: (nat * fun(nat,int) * int) > nat).
% 59.09/9.96  tff(func_def_3068, type, sK2303: (nat * fun(nat,int)) > nat).
% 59.09/9.96  tff(func_def_3069, type, sK2304: (nat * fun(nat,int) * int) > nat).
% 59.09/9.96  tff(func_def_3070, type, sK2305: (nat * fun(nat,int)) > nat).
% 59.09/9.96  tff(func_def_3071, type, sK2306: !>[X0: $tType]:((list(X0) * set(nat)) > nat)).
% 59.09/9.96  tff(func_def_3072, type, sK2307: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3073, type, sK2308: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_3074, type, sK2309: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3075, type, sK2310: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3076, type, sK2311: !>[X0: $tType]:((list(X0) * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_3077, type, sK2312: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_3078, type, sK2313: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_3079, type, sK2314: (real * fun(nat,real)) > real).
% 59.09/9.96  tff(func_def_3080, type, sK2315: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3081, type, sK2316: !>[X0: $tType]:((list(list(X0)) * nat) > list(X0))).
% 59.09/9.96  tff(func_def_3082, type, sK2317: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > product_prod(list(X0),list(X0)))).
% 59.09/9.96  tff(func_def_3083, type, sK2318: !>[X0: $tType]:((fun(list(X0),bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3084, type, sK2319: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3085, type, sK2320: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3086, type, sK2321: (fun(nat,nat) * nat) > nat).
% 59.09/9.96  tff(func_def_3087, type, sK2322: (fun(nat,nat) * nat) > nat).
% 59.09/9.96  tff(func_def_3088, type, sK2323: (nat * fun(nat,nat)) > nat).
% 59.09/9.96  tff(func_def_3089, type, sK2324: (nat * fun(nat,nat)) > nat).
% 59.09/9.96  tff(func_def_3090, type, sK2325: fun(nat,nat) > nat).
% 59.09/9.96  tff(func_def_3091, type, sK2326: fun(nat,nat) > nat).
% 59.09/9.96  tff(func_def_3092, type, sK2327: fun(nat,nat) > nat).
% 59.09/9.96  tff(func_def_3093, type, sK2328: fun(nat,nat) > nat).
% 59.09/9.96  tff(func_def_3094, type, sK2329: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3095, type, sK2330: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3096, type, sK2331: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3097, type, sK2332: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3098, type, sK2333: fun(nat,fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3099, type, sK2334: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3100, type, sK2335: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool)))) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_3101, type, sK2336: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool)))) > X0)).
% 59.09/9.96  tff(func_def_3102, type, sK2337: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool)))) > nat)).
% 59.09/9.96  tff(func_def_3103, type, sK2338: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 59.09/9.96  tff(func_def_3104, type, sK2339: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3105, type, sK2340: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3106, type, sK2341: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3107, type, sK2342: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3108, type, sK2343: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3109, type, sK2344: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3110, type, sK2345: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3111, type, sK2346: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3112, type, sK2347: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3113, type, sK2348: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3114, type, sK2349: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3115, type, sK2350: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3116, type, sK2351: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3117, type, sK2352: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3118, type, sK2353: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3119, type, sK2354: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3120, type, sK2355: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3121, type, sK2356: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 59.09/9.96  tff(func_def_3122, type, sK2357: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3123, type, sK2358: !>[X0: $tType]:((list(X0) * list(X0)) > product_prod(X0,X0))).
% 59.09/9.96  tff(func_def_3124, type, sK2359: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3125, type, sK2360: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3126, type, sK2361: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3127, type, sK2362: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3128, type, sK2363: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > X0)).
% 59.09/9.96  tff(func_def_3129, type, sK2364: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > X0)).
% 59.09/9.96  tff(func_def_3130, type, sK2365: (int * int * product_prod(int,int)) > int).
% 59.09/9.96  tff(func_def_3131, type, sK2366: (product_prod(int,int) * int * int) > int).
% 59.09/9.96  tff(func_def_3132, type, sK2367: (product_prod(int,int) * int * int) > int).
% 59.09/9.96  tff(func_def_3133, type, sK2368: (product_prod(int,int) * int * int) > int).
% 59.09/9.96  tff(func_def_3134, type, sK2369: (product_prod(int,int) * int * int) > int).
% 59.09/9.96  tff(func_def_3135, type, sK2370: (product_prod(int,int) * int * int) > int).
% 59.09/9.96  tff(func_def_3136, type, sK2371: (product_prod(int,int) * int * int) > int).
% 59.09/9.96  tff(func_def_3137, type, sK2372: (product_prod(int,int) * int * int) > int).
% 59.09/9.96  tff(func_def_3138, type, sK2373: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3139, type, sK2374: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3140, type, sK2375: !>[X0: $tType]:((list(X0) * list(X0) * fun(nat,nat)) > nat)).
% 59.09/9.96  tff(func_def_3141, type, sK2376: !>[X0: $tType]:((list(X0) * list(X0)) > fun(nat,nat))).
% 59.09/9.96  tff(func_def_3142, type, sK2377: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3143, type, sK2378: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3144, type, sK2379: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3145, type, sK2380: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3146, type, sK2381: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3147, type, sK2382: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3148, type, sK2383: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3149, type, sK2384: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3150, type, sK2385: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3151, type, sK2386: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3152, type, sK2387: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3153, type, sK2388: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3154, type, sK2389: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3155, type, sK2390: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3156, type, sK2391: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3157, type, sK2392: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3158, type, sK2393: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3159, type, sK2394: (fun(int,bool) * int * int) > int).
% 59.09/9.96  tff(func_def_3160, type, sK2395: (fun(nat,bool) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3161, type, sK2396: (fun(nat,bool) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3162, type, sK2397: (fun(nat,bool) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3163, type, sK2398: (fun(nat,bool) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3164, type, sK2399: (fun(nat,bool) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3165, type, sK2400: (fun(real,bool) * real * nat) > real).
% 59.09/9.96  tff(func_def_3166, type, sK2401: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X1)).
% 59.09/9.96  tff(func_def_3167, type, sK2402: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_3168, type, sK2403: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_3169, type, sK2404: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 59.09/9.96  tff(func_def_3170, type, sK2405: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_3171, type, sK2406: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_3172, type, sK2407: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3173, type, sK2408: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3174, type, sK2409: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_3175, type, sK2410: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 59.09/9.96  tff(func_def_3176, type, sK2411: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 59.09/9.96  tff(func_def_3177, type, sK2412: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 59.09/9.96  tff(func_def_3178, type, sK2413: !>[X0: $tType]:((set(X0) * set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_3179, type, sK2414: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 59.09/9.96  tff(func_def_3180, type, sK2415: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 59.09/9.96  tff(func_def_3181, type, sK2416: (fun(nat,bool) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3182, type, sK2417: (fun(nat,bool) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3183, type, sK2418: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3184, type, sK2419: !>[X0: $tType]:((set(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3185, type, sK2420: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3186, type, sK2421: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_3187, type, sK2422: !>[X0: $tType]:((X0 * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3188, type, sK2423: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3189, type, sK2424: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3190, type, sK2425: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3191, type, sK2426: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3192, type, sK2427: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3193, type, sK2428: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3194, type, sK2429: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_3195, type, sK2430: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 59.09/9.96  tff(func_def_3196, type, sK2431: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3197, type, sK2432: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3198, type, sK2433: !>[X0: $tType, X1: $tType]:((product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat))) > fun(nat,sum_sum(X1,nat)))).
% 59.09/9.96  tff(func_def_3199, type, sK2434: !>[X0: $tType, X1: $tType]:((product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat))) > sum_sum(X0,nat))).
% 59.09/9.96  tff(func_def_3200, type, sK2435: !>[X0: $tType, X1: $tType]:((product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat))) > nat)).
% 59.09/9.96  tff(func_def_3201, type, sK2436: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_3202, type, sK2437: (extended_enat * extended_enat * nat) > nat).
% 59.09/9.96  tff(func_def_3203, type, sK2438: (extended_enat * extended_enat * nat) > nat).
% 59.09/9.96  tff(func_def_3204, type, sK2439: !>[X0: $tType]:((product_prod(X0,X0) * set(product_prod(X0,X0))) > nat)).
% 59.09/9.96  tff(func_def_3205, type, sK2440: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3206, type, sK2441: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3207, type, sK2442: (int * int * int) > int).
% 59.09/9.96  tff(func_def_3208, type, sK2443: (int * int * int) > int).
% 59.09/9.96  tff(func_def_3209, type, sK2444: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * nat) > nat)).
% 59.09/9.96  tff(func_def_3210, type, sK2445: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * nat) > X0)).
% 59.09/9.96  tff(func_def_3211, type, sK2446: !>[X0: $tType]:((nat * fun(nat,fun(X0,bool)) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3212, type, sK2447: !>[X0: $tType]:((nat * fun(nat,fun(X0,bool))) > list(X0))).
% 59.09/9.96  tff(func_def_3213, type, sK2448: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3214, type, sK2449: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > nat)).
% 59.09/9.96  tff(func_def_3215, type, sK2450: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3216, type, sK2451: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3217, type, sK2452: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3218, type, sK2453: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3219, type, sK2454: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3220, type, sK2455: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3221, type, sK2456: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3222, type, sK2457: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3223, type, sK2458: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3224, type, sK2459: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3225, type, sK2460: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3226, type, sK2461: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3227, type, sK2462: !>[X0: $tType]:((nat * fun(nat,sum_sum(X0,nat))) > nat)).
% 59.09/9.96  tff(func_def_3228, type, sK2463: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3229, type, sK2464: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3230, type, sK2465: !>[X0: $tType]:((fun(X0,bool) * list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3231, type, sK2466: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3232, type, sK2467: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3233, type, sK2468: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X1,X0))).
% 59.09/9.96  tff(func_def_3234, type, sK2469: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X0,X1))).
% 59.09/9.96  tff(func_def_3235, type, sK2470: (fun(nat,bool) * fun(nat,bool)) > nat).
% 59.09/9.96  tff(func_def_3236, type, sK2471: (fun(nat,bool) * nat) > nat).
% 59.09/9.96  tff(func_def_3237, type, sK2472: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3238, type, sK2473: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3239, type, sK2474: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 59.09/9.96  tff(func_def_3240, type, sK2475: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X1,X0)) > X0)).
% 59.09/9.96  tff(func_def_3241, type, sK2476: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 59.09/9.96  tff(func_def_3242, type, sK2477: fun(nat,fun(real,real)) > nat).
% 59.09/9.96  tff(func_def_3243, type, sK2478: fun(nat,fun(real,real)) > real).
% 59.09/9.96  tff(func_def_3244, type, sK2479: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 59.09/9.96  tff(func_def_3245, type, sK2480: fun(nat,fun(real,real)) > nat).
% 59.09/9.96  tff(func_def_3246, type, sK2481: fun(nat,fun(real,real)) > real).
% 59.09/9.96  tff(func_def_3247, type, sK2482: (fun(nat,fun(real,real)) * real * nat) > nat).
% 59.09/9.96  tff(func_def_3248, type, sK2483: (fun(nat,fun(real,real)) * real * nat) > real).
% 59.09/9.96  tff(func_def_3249, type, sK2484: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 59.09/9.96  tff(func_def_3250, type, sK2485: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3251, type, sK2486: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3252, type, sK2487: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3253, type, sK2488: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3254, type, sK2489: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3255, type, sK2490: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3256, type, sK2491: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3257, type, sK2492: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3258, type, sK2493: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3259, type, sK2494: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3260, type, sK2495: (fun(nat,fun(real,real)) * real * nat) > nat).
% 59.09/9.96  tff(func_def_3261, type, sK2496: (fun(nat,fun(real,real)) * real * nat) > real).
% 59.09/9.96  tff(func_def_3262, type, sK2497: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 59.09/9.96  tff(func_def_3263, type, sK2498: (fun(nat,fun(real,real)) * real * nat) > nat).
% 59.09/9.96  tff(func_def_3264, type, sK2499: (fun(nat,fun(real,real)) * real * nat) > real).
% 59.09/9.96  tff(func_def_3265, type, sK2500: (real * fun(nat,fun(real,real)) * fun(real,real) * nat) > real).
% 59.09/9.96  tff(func_def_3266, type, sK2501: (fun(nat,fun(real,real)) * real * nat) > nat).
% 59.09/9.96  tff(func_def_3267, type, sK2502: (fun(nat,fun(real,real)) * real * nat) > real).
% 59.09/9.96  tff(func_def_3268, type, sK2503: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 59.09/9.96  tff(func_def_3269, type, sK2504: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3270, type, sK2505: (fun(int,bool) * fun(int,bool) * int) > int).
% 59.09/9.96  tff(func_def_3271, type, sK2506: fun(int,bool) > int).
% 59.09/9.96  tff(func_def_3272, type, sK2507: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_3273, type, sK2508: (fun(int,bool) * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3274, type, sK2509: (fun(int,bool) * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3275, type, sK2510: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_3276, type, sK2511: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_3277, type, sK2512: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3278, type, sK2513: (fun(int,bool) * fun(int,bool) * int) > int).
% 59.09/9.96  tff(func_def_3279, type, sK2514: fun(int,bool) > int).
% 59.09/9.96  tff(func_def_3280, type, sK2515: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_3281, type, sK2516: (fun(int,bool) * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3282, type, sK2517: (fun(int,bool) * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3283, type, sK2518: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_3284, type, sK2519: (int * fun(int,bool)) > int).
% 59.09/9.96  tff(func_def_3285, type, sK2520: !>[X0: $tType]:((nat * list(X0) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3286, type, sK2521: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3287, type, sK2522: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3288, type, sK2523: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3289, type, sK2524: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 59.09/9.96  tff(func_def_3290, type, sK2525: !>[X0: $tType]:((nat * fun(X0,X0) * X0) > nat)).
% 59.09/9.96  tff(func_def_3291, type, sK2526: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > nat)).
% 59.09/9.96  tff(func_def_3292, type, sK2527: !>[X0: $tType, X1: $tType]:((list(product_prod(X1,X0)) * list(product_prod(X1,X0))) > X1)).
% 59.09/9.96  tff(func_def_3293, type, sK2528: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 59.09/9.96  tff(func_def_3294, type, sK2529: fun(nat,fun(real,real)) > nat).
% 59.09/9.96  tff(func_def_3295, type, sK2530: fun(nat,fun(real,real)) > real).
% 59.09/9.96  tff(func_def_3296, type, sK2531: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * X0) > X0)).
% 59.09/9.96  tff(func_def_3297, type, sK2532: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * bool) > X0)).
% 59.09/9.96  tff(func_def_3298, type, sK2533: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * bool) > list(X0))).
% 59.09/9.96  tff(func_def_3299, type, sK2534: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3300, type, sK2535: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1)) > X1)).
% 59.09/9.96  tff(func_def_3301, type, sK2536: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1)) > X0)).
% 59.09/9.96  tff(func_def_3302, type, sK2537: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_3303, type, sK2538: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > X0)).
% 59.09/9.96  tff(func_def_3304, type, sK2539: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 59.09/9.96  tff(func_def_3305, type, sK2540: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 59.09/9.96  tff(func_def_3306, type, sK2541: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_3307, type, sK2542: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_3308, type, sK2543: !>[X0: $tType]:((fun(X0,nat) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3309, type, sK2544: !>[X0: $tType]:((nat * fun(X0,bool) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3310, type, sK2545: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > nat)).
% 59.09/9.96  tff(func_def_3311, type, sK2546: !>[X0: $tType]:((set(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_3312, type, sK2547: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > nat)).
% 59.09/9.96  tff(func_def_3313, type, sK2548: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3314, type, sK2549: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3315, type, sK2550: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3316, type, sK2551: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3317, type, sK2552: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3318, type, sK2553: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1))) > X0)).
% 59.09/9.96  tff(func_def_3319, type, sK2554: !>[X0: $tType]:((list(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_3320, type, sK2555: (fun(nat,int) * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3321, type, sK2556: (nat * nat * fun(nat,int) * int) > nat).
% 59.09/9.96  tff(func_def_3322, type, sK2557: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3323, type, sK2558: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3324, type, sK2559: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3325, type, sK2560: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3326, type, sK2561: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3327, type, sK2562: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3328, type, sK2563: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3329, type, sK2564: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3330, type, sK2565: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3331, type, sK2566: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3332, type, sK2567: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3333, type, sK2568: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3334, type, sK2569: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3335, type, sK2570: (int * fun(int,bool) * set(int)) > int).
% 59.09/9.96  tff(func_def_3336, type, sK2571: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3337, type, sK2572: (int * set(int) * int) > int).
% 59.09/9.96  tff(func_def_3338, type, sK2573: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 59.09/9.96  tff(func_def_3339, type, sK2574: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 59.09/9.96  tff(func_def_3340, type, sK2575: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 59.09/9.96  tff(func_def_3341, type, sK2576: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 59.09/9.96  tff(func_def_3342, type, sK2577: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_3343, type, sK2578: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > X0)).
% 59.09/9.96  tff(func_def_3344, type, sK2579: !>[X0: $tType]:((set(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3345, type, sK2580: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,X0)) > X0)).
% 59.09/9.96  tff(func_def_3346, type, sK2581: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > X0)).
% 59.09/9.96  tff(func_def_3347, type, sK2582: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3348, type, sK2583: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3349, type, sK2584: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * X0 * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3350, type, sK2585: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > nat)).
% 59.09/9.96  tff(func_def_3351, type, sK2586: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > nat)).
% 59.09/9.96  tff(func_def_3352, type, sK2587: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > nat)).
% 59.09/9.96  tff(func_def_3353, type, sK2588: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > nat)).
% 59.09/9.96  tff(func_def_3354, type, sK2589: !>[X0: $tType]:((fun(X0,X0) * X0 * X0) > nat)).
% 59.09/9.96  tff(func_def_3355, type, sK2590: !>[X0: $tType]:((list(X0) * set(nat) * X0) > nat)).
% 59.09/9.96  tff(func_def_3356, type, sK2591: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3357, type, sK2592: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > nat)).
% 59.09/9.96  tff(func_def_3358, type, sK2593: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > nat)).
% 59.09/9.96  tff(func_def_3359, type, sK2594: !>[X0: $tType]:((nat * X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3360, type, sK2595: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > list(X1))).
% 59.09/9.96  tff(func_def_3361, type, sK2596: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > X0)).
% 59.09/9.96  tff(func_def_3362, type, sK2597: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0) > X1)).
% 59.09/9.96  tff(func_def_3363, type, sK2598: !>[X0: $tType]:((nat * X0 * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3364, type, sK2599: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > fun(X0,product_prod(X1,X0)))).
% 59.09/9.96  tff(func_def_3365, type, sK2600: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3366, type, sK2601: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3367, type, sK2602: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3368, type, sK2603: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3369, type, sK2604: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3370, type, sK2605: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3371, type, sK2606: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat) * nat) > X0)).
% 59.09/9.96  tff(func_def_3372, type, sK2607: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat) * nat) > X0)).
% 59.09/9.96  tff(func_def_3373, type, sK2608: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat) * nat) > X0)).
% 59.09/9.96  tff(func_def_3374, type, sK2609: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_3375, type, sK2610: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat) * nat) > X0)).
% 59.09/9.96  tff(func_def_3376, type, sK2611: !>[X0: $tType]:((fun(X0,bool) * X0 * fun(X0,nat) * nat) > X0)).
% 59.09/9.96  tff(func_def_3377, type, sK2612: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 59.09/9.96  tff(func_def_3378, type, sK2613: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X0)).
% 59.09/9.96  tff(func_def_3379, type, sK2614: !>[X0: $tType]:((X0 * list(X0) * fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3380, type, sK2615: !>[X0: $tType]:((X0 * list(X0) * fun(X0,bool) * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3381, type, sK2616: !>[X0: $tType]:((fun(X0,bool) * list(X0) * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3382, type, sK2617: !>[X0: $tType]:((fun(X0,bool) * list(X0) * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3383, type, sK2618: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3384, type, sK2619: (nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3385, type, sK2620: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X1) > X0)).
% 59.09/9.96  tff(func_def_3386, type, sK2621: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X0) > X1)).
% 59.09/9.96  tff(func_def_3387, type, sK2622: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * fun(X0,fun(X1,bool))) > nat)).
% 59.09/9.96  tff(func_def_3388, type, sK2623: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X0) > X1)).
% 59.09/9.96  tff(func_def_3389, type, sK2624: !>[X0: $tType]:((list(X0) * nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_3390, type, sK2625: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > X0)).
% 59.09/9.96  tff(func_def_3391, type, sK2626: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > nat)).
% 59.09/9.96  tff(func_def_3392, type, sK2627: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > X0)).
% 59.09/9.96  tff(func_def_3393, type, sK2628: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > nat)).
% 59.09/9.96  tff(func_def_3394, type, sK2629: !>[X0: $tType, X1: $tType]:((X0 * list(product_prod(X0,X1))) > X1)).
% 59.09/9.96  tff(func_def_3395, type, sK2630: !>[X0: $tType]:((nat * fun(X0,fun(X0,bool)) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_3396, type, sK2631: !>[X0: $tType]:((nat * fun(X0,fun(X0,bool)) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_3397, type, sK2632: !>[X0: $tType]:((nat * fun(X0,fun(X0,bool)) * X0 * X0) > X0)).
% 59.09/9.96  tff(func_def_3398, type, sK2633: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 59.09/9.96  tff(func_def_3399, type, sK2634: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 59.09/9.96  tff(func_def_3400, type, sK2635: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 59.09/9.96  tff(func_def_3401, type, sK2636: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 59.09/9.96  tff(func_def_3402, type, sK2637: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3403, type, sK2638: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3404, type, sK2639: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3405, type, sK2640: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_3406, type, sK2641: (nat * fun(nat,nat)) > nat).
% 59.09/9.96  tff(func_def_3407, type, sK2642: (nat * fun(nat,nat)) > nat).
% 59.09/9.96  tff(func_def_3408, type, sK2643: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3409, type, sK2644: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3410, type, sK2645: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_3411, type, sK2646: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3412, type, sK2647: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3413, type, sK2648: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3414, type, sK2649: vEBT_VEBT > nat).
% 59.09/9.96  tff(func_def_3415, type, sK2650: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3416, type, sK2651: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3417, type, sK2652: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3418, type, sK2653: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * fun(X0,fun(X1,bool))) > product_prod(X0,X1))).
% 59.09/9.96  tff(func_def_3419, type, sK2654: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 59.09/9.96  tff(func_def_3420, type, sK2655: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 59.09/9.96  tff(func_def_3421, type, sK2656: (nat * real * fun(nat,fun(real,real))) > nat).
% 59.09/9.96  tff(func_def_3422, type, sK2657: (nat * real * fun(nat,fun(real,real))) > real).
% 59.09/9.96  tff(func_def_3423, type, sK2658: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3424, type, sK2659: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3425, type, sK2660: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3426, type, sK2661: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3427, type, sK2662: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3428, type, sK2663: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3429, type, sK2664: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3430, type, sK2665: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3431, type, sK2666: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3432, type, sK2667: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 59.09/9.96  tff(func_def_3433, type, sK2668: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1)) > nat)).
% 59.09/9.96  tff(func_def_3434, type, sK2669: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * list(X1) * list(X0)) > product_prod(X1,X0))).
% 59.09/9.96  tff(func_def_3435, type, sK2670: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 59.09/9.96  tff(func_def_3436, type, sK2671: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 59.09/9.96  tff(func_def_3437, type, sK2672: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3438, type, sK2673: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1)) > nat)).
% 59.09/9.96  tff(func_def_3439, type, sK2674: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1) * list(X0) * list(X1)) > nat)).
% 59.09/9.96  tff(func_def_3440, type, sK2675: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3441, type, sK2676: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3442, type, sK2677: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3443, type, sK2678: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3444, type, sK2679: (list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3445, type, sK2680: (nat * nat * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3446, type, sK2681: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_3447, type, sK2682: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * nat * X0 * X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_3448, type, sK2683: !>[X0: $tType, X1: $tType]:((list(X1) * list(X0) * set(product_prod(X1,X0))) > nat)).
% 59.09/9.96  tff(func_def_3449, type, sK2684: !>[X0: $tType, X1: $tType]:((list(X1) * list(X0) * set(product_prod(X1,X0))) > product_prod(X1,X0))).
% 59.09/9.96  tff(func_def_3450, type, sK2685: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 59.09/9.96  tff(func_def_3451, type, sK2686: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * fun(nat,X0)) > nat)).
% 59.09/9.96  tff(func_def_3452, type, sK2687: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > fun(nat,X0))).
% 59.09/9.96  tff(func_def_3453, type, sK2688: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3454, type, sK2689: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3455, type, sK2690: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,list(X0)) * fun(X1,list(X0))) > X1)).
% 59.09/9.96  tff(func_def_3456, type, sK2691: !>[X0: $tType, X1: $tType]:((fun(X0,nat) * set(X0) * fun(X1,nat) * set(X1)) > X0)).
% 59.09/9.96  tff(func_def_3457, type, sK2692: !>[X0: $tType, X1: $tType]:((fun(X0,nat) * set(X0) * fun(X1,nat) * set(X1)) > X1)).
% 59.09/9.96  tff(func_def_3458, type, sK2693: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 59.09/9.96  tff(func_def_3459, type, sK2694: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 59.09/9.96  tff(func_def_3460, type, sK2695: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 59.09/9.96  tff(func_def_3461, type, sK2696: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 59.09/9.96  tff(func_def_3462, type, sK2697: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 59.09/9.96  tff(func_def_3463, type, sK2698: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 59.09/9.96  tff(func_def_3464, type, sK2699: (fun(real,real) * fun(real,real) * real * real) > real).
% 59.09/9.96  tff(func_def_3465, type, sK2700: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1) * fun(X0,fun(X1,bool))) > X0)).
% 59.09/9.96  tff(func_def_3466, type, sK2701: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1) * fun(X0,fun(X1,bool))) > X1)).
% 59.09/9.96  tff(func_def_3467, type, sK2702: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > fun(nat,fun(X0,X0)))).
% 59.09/9.96  tff(func_def_3468, type, sK2703: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > nat)).
% 59.09/9.96  tff(func_def_3469, type, sK2704: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > nat)).
% 59.09/9.96  tff(func_def_3470, type, sK2705: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > X0)).
% 59.09/9.96  tff(func_def_3471, type, sK2706: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3472, type, sK2707: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 59.09/9.96  tff(func_def_3473, type, sK2708: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 59.09/9.96  tff(func_def_3474, type, sK2709: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X1,X0) * set(X1)) > list(X1))).
% 59.09/9.96  tff(func_def_3475, type, sK2710: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 59.09/9.96  tff(func_def_3476, type, sK2711: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 59.09/9.96  tff(func_def_3477, type, sK2712: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 59.09/9.96  tff(func_def_3478, type, sK2713: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3479, type, sK2714: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3480, type, sK2715: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3481, type, sK2716: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3482, type, sK2717: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3483, type, sK2718: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 59.09/9.96  tff(func_def_3484, type, sK2719: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3485, type, sK2720: list(vEBT_VEBT) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3486, type, sK2721: list(vEBT_VEBT) > nat).
% 59.09/9.96  tff(func_def_3487, type, sK2722: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3488, type, sK2723: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 59.09/9.96  tff(func_def_3489, type, sK2724: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 59.09/9.96  tff(func_def_3490, type, sK2725: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 59.09/9.96  tff(func_def_3491, type, sK2726: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 59.09/9.96  tff(func_def_3492, type, sK2727: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool)) > X1)).
% 59.09/9.96  tff(func_def_3493, type, sK2728: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool)) > X0)).
% 59.09/9.96  tff(func_def_3494, type, sK2729: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 59.09/9.96  tff(func_def_3495, type, sK2730: !>[X0: $tType, X1: $tType, X2: $tType]:((list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1))) > X0)).
% 59.09/9.96  tff(func_def_3496, type, sK2731: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X0)).
% 59.09/9.96  tff(func_def_3497, type, sK2732: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X1)).
% 59.09/9.96  tff(func_def_3498, type, sK2733: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X0)).
% 59.09/9.96  tff(func_def_3499, type, sK2734: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) * list(X0) * list(X1)) > X1)).
% 59.09/9.96  tff(func_def_3500, type, sK2735: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) * list(X0) * list(X1)) > X0)).
% 59.09/9.96  tff(func_def_3501, type, sK2736: !>[X0: $tType, X1: $tType, X2: $tType]:((list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1))) > X0)).
% 59.09/9.96  tff(pred_def_1, type, bounded_lattice: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_2, type, type: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_3, type, size: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_4, type, dvd: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_5, type, one: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_6, type, idom: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_7, type, ring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_8, type, plus: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_9, type, zero: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_10, type, numeral: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_11, type, power: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_12, type, field: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_13, type, ring_gcd: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_14, type, minus: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_15, type, abs_if: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_16, type, ring_1: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_17, type, uminus: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_18, type, ord: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_19, type, semidom: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_20, type, inverse: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_21, type, semiring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_22, type, ring_char_0: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_23, type, neg_numeral: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_24, type, order: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_25, type, comm_ring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_26, type, mult_zero: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_27, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_28, type, semiring_gcd: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_29, type, group_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_30, type, lattice: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_31, type, no_bot: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_32, type, no_top: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_33, type, semiring_0: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_34, type, semiring_1: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_35, type, monoid_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_36, type, comm_ring_1: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_37, type, idom_divide: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_38, type, idom_modulo: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_39, type, ln: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_40, type, monoid_mult: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_41, type, linorder: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_42, type, preorder: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_43, type, ring_parity: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_44, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_45, type, ordered_ring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_46, type, zero_neq_one: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_47, type, field_char_0: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_48, type, ab_group_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_49, type, semiring_char_0: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_50, type, order_bot: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_51, type, order_top: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_52, type, wellorder: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_53, type, comm_semiring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_54, type, zero_less_one: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_55, type, division_ring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_56, type, field_abs_sgn: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_57, type, semigroup_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_58, type, semiring_numeral: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_59, type, semidom_divide: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_60, type, semidom_modulo: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_61, type, semigroup_mult: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_62, type, dense_order: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_63, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_64, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_65, type, linordered_idom: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_66, type, linordered_ring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_67, type, semiring_modulo: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_68, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_69, type, semiring_parity: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_70, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_71, type, ordered_semiring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_72, type, linordered_field: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_73, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_74, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_75, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_76, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_77, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_78, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_79, type, distrib_lattice: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_80, type, semilattice_inf: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_81, type, semilattice_sup: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_82, type, dense_linorder: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_83, type, linordered_semidom: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_84, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_85, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_86, type, linordered_semiring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_87, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_88, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_89, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_90, type, normal8620421768224518004emidom: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_91, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_92, type, topological_t2_space: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_93, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_94, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_95, type, bounded_lattice_top: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_96, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_97, type, real_V6936659425649961206t_norm: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_98, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_99, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_100, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_101, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_102, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_103, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_104, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_105, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_106, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_107, type, topolo1898628316856586783d_mult: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_108, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_109, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_110, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_111, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_112, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_113, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_114, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_115, type, real_V6567297691418259687v_norm: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_116, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_117, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_118, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_119, type, semido2269285787275462019factor: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_120, type, topolo8386298272705272623_space: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_121, type, euclid5891614535332579305n_ring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_122, type, topolo4211221413907600880p_mult: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_123, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_124, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_125, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_126, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_127, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_128, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_129, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_130, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_131, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_132, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_133, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_134, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_135, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_136, type, topolo4987421752381908075d_mult: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_137, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_138, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_139, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_140, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_141, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_142, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_143, type, euclid3725896446679973847miring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_144, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_145, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_146, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_147, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_148, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_149, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_150, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_151, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_152, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_153, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_154, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_155, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_156, type, semiri6575147826004484403cancel: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_157, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_158, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_159, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_160, type, comple489889107523837845lgebra: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_161, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_162, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_163, type, normal6328177297339901930cative: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_164, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_165, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_166, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_167, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_168, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_169, type, condit5016429287641298734tinuum: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_170, type, euclid8789492081693882211th_nat: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_171, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_172, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_173, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_174, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_175, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_176, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_177, type, bNF_Wellorder_wo_rel: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 59.09/9.96  tff(pred_def_178, type, boolea2506097494486148201lgebra: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_179, 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)).
% 59.09/9.96  tff(pred_def_180, type, condit941137186595557371_above: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_181, type, condit1013018076250108175_below: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_182, type, condit622319405099724424ng_bdd: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_183, type, countable_countable: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_184, type, differentiable: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 59.09/9.96  tff(pred_def_185, type, has_derivative: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,X1) * filter(X0)) > $o)).
% 59.09/9.96  tff(pred_def_186, type, has_field_derivative: !>[X0: $tType]:((fun(X0,X0) * X0 * filter(X0)) > $o)).
% 59.09/9.96  tff(pred_def_187, type, has_ve8173657378732805170vative: !>[X0: $tType]:((fun(real,X0) * X0 * filter(real)) > $o)).
% 59.09/9.96  tff(pred_def_188, type, eucl_rel_int: (int * int * product_prod(int,int)) > $o).
% 59.09/9.96  tff(pred_def_189, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod(X0,X0)) > $o)).
% 59.09/9.96  tff(pred_def_190, type, eventually: !>[X0: $tType]:((fun(X0,bool) * filter(X0)) > $o)).
% 59.09/9.96  tff(pred_def_191, type, filterlim: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1) * filter(X0)) > $o)).
% 59.09/9.96  tff(pred_def_192, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 59.09/9.96  tff(pred_def_193, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 59.09/9.96  tff(pred_def_194, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 59.09/9.96  tff(pred_def_195, type, bij_betw: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_196, type, inj_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_197, type, strict_mono_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_198, type, fun_is_measure: !>[X0: $tType]:((fun(X0,nat)) > $o)).
% 59.09/9.96  tff(pred_def_199, type, bounde8507323023520639062attice: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0)) > $o)).
% 59.09/9.96  tff(pred_def_200, type, bounde6485984586167503788ce_set: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0)) > $o)).
% 59.09/9.96  tff(pred_def_201, type, comm_monoid: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_202, type, group: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,X0)) > $o)).
% 59.09/9.96  tff(pred_def_203, type, group_axioms: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,X0)) > $o)).
% 59.09/9.96  tff(pred_def_204, type, monoid: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_205, type, monoid_axioms: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_206, type, semigroup: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > $o)).
% 59.09/9.96  tff(pred_def_207, type, groups778175481326437816id_set: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_208, type, groups1828464146339083142d_list: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_209, type, groups4802862169904069756st_set: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_210, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 * X1) > $o)).
% 59.09/9.96  tff(pred_def_211, type, uniq: !>[X0: $tType]:((fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_212, type, hilbert_bijection: !>[X0: $tType]:((fun(X0,X0)) > $o)).
% 59.09/9.96  tff(pred_def_213, type, semilattice_neutr: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_214, type, semila1105856199041335345_order: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_215, type, semilattice_order: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_216, type, lattic501386751176901750rg_max: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_217, type, lattic4895041142388067077er_set: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_218, type, quotient: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,X1) * fun(X1,X0) * fun(X0,fun(X1,bool))) > $o)).
% 59.09/9.96  tff(pred_def_219, type, bfun: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 59.09/9.96  tff(pred_def_220, type, zfun: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 59.09/9.96  tff(pred_def_221, type, distinct: !>[X0: $tType]:((list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_222, type, distinct_adj: !>[X0: $tType]:((list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_223, type, folding_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0)) > $o)).
% 59.09/9.96  tff(pred_def_224, type, list_all: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_225, type, list_ex: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_226, type, ord_lexordp_eq: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_227, type, sorted_wrt: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_228, type, neg_numeral_is_num: !>[X0: $tType]:((X0) > $o)).
% 59.09/9.96  tff(pred_def_229, type, ring_1_iszero: !>[X0: $tType]:((X0) > $o)).
% 59.09/9.96  tff(pred_def_230, type, order_well_order_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 59.09/9.96  tff(pred_def_231, type, order_antimono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 59.09/9.96  tff(pred_def_232, type, order_mono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 59.09/9.96  tff(pred_def_233, type, order_strict_mono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 59.09/9.96  tff(pred_def_234, type, ordering_top: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_235, type, quotient3: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,X1) * fun(X1,X0)) > $o)).
% 59.09/9.96  tff(pred_def_236, type, cauchy: fun(nat,rat) > $o).
% 59.09/9.96  tff(pred_def_237, type, real_V2442710119149674383linear: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2))) > $o)).
% 59.09/9.96  tff(pred_def_238, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 59.09/9.96  tff(pred_def_239, type, real_V358717886546972837endent: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_240, type, real_Vector_linear: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 59.09/9.96  tff(pred_def_241, type, real_Vector_subspace: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_242, type, transp: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_243, type, algebr8660921524188924756oprime: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_244, type, summable: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 59.09/9.96  tff(pred_def_245, type, sums: !>[X0: $tType]:((fun(nat,X0) * X0) > $o)).
% 59.09/9.96  tff(pred_def_246, type, disjnt: !>[X0: $tType]:((set(X0) * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_247, type, is_singleton: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_248, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1)) > $o)).
% 59.09/9.96  tff(pred_def_249, type, topolo81223032696312382ous_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > $o)).
% 59.09/9.96  tff(pred_def_250, type, topological_monoseq: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 59.09/9.96  tff(pred_def_251, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_252, type, topolo6863149650580417670ergent: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 59.09/9.96  tff(pred_def_253, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 59.09/9.96  tff(pred_def_254, type, vEBT_V5917875025757280293ildren: (nat * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_255, type, vEBT_VEBT_membermima: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_256, type, vEBT_V5719532721284313246member: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_257, type, vEBT_VEBT_valid: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_258, type, vEBT_invar_vebt: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_259, type, vEBT_VEBT_minNull: vEBT_VEBT > $o).
% 59.09/9.96  tff(pred_def_260, type, accp: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * X0) > $o)).
% 59.09/9.96  tff(pred_def_261, type, pp: bool > $o).
% 59.09/9.96  tff(pred_def_262, type, sP0: vEBT_VEBT > $o).
% 59.09/9.96  tff(pred_def_263, type, sP1: !>[X0: $tType]:((real * X0) > $o)).
% 59.09/9.96  tff(pred_def_264, type, sP2: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_265, type, sP3: !>[X0: $tType]:((real * X0) > $o)).
% 59.09/9.96  tff(pred_def_266, type, sP4: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_267, type, sP5: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 59.09/9.96  tff(pred_def_268, type, sP6: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_269, type, sP7: !>[X0: $tType]:((X0 * fun(nat,X0)) > $o)).
% 59.09/9.96  tff(pred_def_270, type, sP8: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_271, type, sP9: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_272, type, sP10: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_273, type, sP11: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_274, type, sP12: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_275, type, sP13: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_276, type, sP14: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_277, type, sP15: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_278, type, sP16: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_279, type, sP17: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_280, type, sP18: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_281, type, sP19: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_282, type, sP20: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_283, type, sP21: !>[X0: $tType]:((set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_284, type, sP22: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_285, type, sP23: !>[X0: $tType]:((X0 * real * X0 * real) > $o)).
% 59.09/9.96  tff(pred_def_286, type, sP24: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_287, type, sP25: !>[X0: $tType]:((X0 * real * X0 * real) > $o)).
% 59.09/9.96  tff(pred_def_288, type, sP26: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_289, type, sP27: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_290, type, sP28: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_291, type, sP29: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_292, type, sP30: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_293, type, sP31: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_294, type, sP32: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_295, type, sP33: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_296, type, sP34: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_297, type, sP35: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_298, type, sP36: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_299, type, sP37: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_300, type, sP38: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_301, type, sP39: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_302, type, sP40: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_303, type, sP41: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_304, type, sP42: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_305, type, sP43: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_306, type, sP44: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_307, type, sP45: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_308, type, sP46: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_309, type, sP47: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_310, type, sP48: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_311, type, sP49: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_312, type, sP50: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_313, type, sP51: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_314, type, sP52: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_315, type, sP53: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_316, type, sP54: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_317, type, sP55: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_318, type, sP56: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_319, type, sP57: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_320, type, sP58: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_321, type, sP59: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_322, type, sP60: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_323, type, sP61: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_324, type, sP62: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_325, type, sP63: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_326, type, sP64: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_327, type, sP65: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_328, type, sP66: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_329, type, sP67: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_330, type, sP68: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_331, type, sP69: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_332, type, sP70: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_333, type, sP71: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_334, type, sP72: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_335, type, sP73: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_336, type, sP74: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_337, type, sP75: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_338, type, sP76: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_339, type, sP77: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_340, type, sP78: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_341, type, sP79: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_342, type, sP80: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_343, type, sP81: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_344, type, sP82: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_345, type, sP83: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_346, type, sP84: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_347, type, sP85: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_348, type, sP86: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_349, type, sP87: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_350, type, sP88: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_351, type, sP89: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_352, type, sP90: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_353, type, sP91: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_354, type, sP92: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_355, type, sP93: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_356, type, sP94: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_357, type, sP95: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_358, type, sP96: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_359, type, sP97: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_360, type, sP98: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_361, type, sP99: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_362, type, sP100: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_363, type, sP101: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_364, type, sP102: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_365, type, sP103: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 59.09/9.96  tff(pred_def_366, type, sP104: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_367, type, sP105: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_368, type, sP106: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_369, type, sP107: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_370, type, sP108: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_371, type, sP109: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_372, type, sP110: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_373, type, sP111: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_374, type, sP112: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_375, type, sP113: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 59.09/9.96  tff(pred_def_376, type, sP114: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_377, type, sP115: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 59.09/9.96  tff(pred_def_378, type, sP116: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_379, type, sP117: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_380, type, sP118: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_381, type, sP119: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_382, type, sP120: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_383, type, sP121: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_384, type, sP122: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_385, type, sP123: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_386, type, sP124: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_387, type, sP125: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 59.09/9.96  tff(pred_def_388, type, sP126: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_389, type, sP127: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 59.09/9.96  tff(pred_def_390, type, sP128: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_391, type, sP129: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_392, type, sP130: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_393, type, sP131: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_394, type, sP132: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_395, type, sP133: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_396, type, sP134: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_397, type, sP135: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_398, type, sP136: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_399, type, sP137: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_400, type, sP138: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_401, type, sP139: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_402, type, sP140: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_403, type, sP141: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_404, type, sP142: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_405, type, sP143: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_406, type, sP144: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_407, type, sP145: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_408, type, sP146: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_409, type, sP147: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_410, type, sP148: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_411, type, sP149: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_412, type, sP150: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_413, type, sP151: !>[X0: $tType]:((fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_414, type, sP152: !>[X0: $tType]:((nat * X0) > $o)).
% 59.09/9.96  tff(pred_def_415, type, sP153: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_416, type, sP154: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_417, type, sP155: !>[X0: $tType]:((nat * nat * X0) > $o)).
% 59.09/9.96  tff(pred_def_418, type, sP156: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_419, type, sP157: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 59.09/9.96  tff(pred_def_420, type, sP158: !>[X0: $tType]:((fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_421, type, sP159: !>[X0: $tType]:((X0 * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_422, type, sP160: !>[X0: $tType]:((fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_423, type, sP161: !>[X0: $tType]:((X0 * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_424, type, sP162: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_425, type, sP163: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_426, type, sP164: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_427, type, sP165: !>[X0: $tType]:((X0 * X0 * nat) > $o)).
% 59.09/9.96  tff(pred_def_428, type, sP166: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_429, type, sP167: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_430, type, sP168: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_431, type, sP169: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_432, type, sP170: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_433, type, sP171: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_434, type, sP172: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_435, type, sP173: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_436, type, sP174: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_437, type, sP175: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_438, type, sP176: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_439, type, sP177: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_440, type, sP178: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_441, type, sP179: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_442, type, sP180: !>[X0: $tType]:((X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_443, type, sP181: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_444, type, sP182: !>[X0: $tType]:((X0 * nat) > $o)).
% 59.09/9.96  tff(pred_def_445, type, sP183: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_446, type, sP184: !>[X0: $tType]:((X0 * nat) > $o)).
% 59.09/9.96  tff(pred_def_447, type, sP185: !>[X0: $tType]:((X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_448, type, sP186: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_449, type, sP187: !>[X0: $tType]:((X0 * num) > $o)).
% 59.09/9.96  tff(pred_def_450, type, sP188: !>[X0: $tType]:((fun(nat,X0) * nat) > $o)).
% 59.09/9.96  tff(pred_def_451, type, sP189: !>[X0: $tType]:((X0 * fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_452, type, sP190: !>[X0: $tType]:((X0) > $o)).
% 59.09/9.96  tff(pred_def_453, type, sP191: !>[X0: $tType]:((X0) > $o)).
% 59.09/9.96  tff(pred_def_454, type, sP192: !>[X0: $tType]:((X0) > $o)).
% 59.09/9.96  tff(pred_def_455, type, sP193: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_456, type, sP194: !>[X0: $tType]:((fun(X0,real) * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_457, type, sP195: !>[X0: $tType]:((list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_458, type, sP196: !>[X0: $tType]:((fun(X0,bool) * bool) > $o)).
% 59.09/9.96  tff(pred_def_459, type, sP197: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_460, type, sP198: !>[X0: $tType]:((fun(X0,bool) * bool) > $o)).
% 59.09/9.96  tff(pred_def_461, type, sP199: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_462, type, sP200: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_463, type, sP201: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_464, type, sP202: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_465, type, sP203: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_466, type, sP204: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_467, type, sP205: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_468, type, sP206: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool))) > $o)).
% 59.09/9.96  tff(pred_def_469, type, sP207: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_470, type, sP208: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_471, type, sP209: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_472, type, sP210: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_473, type, sP211: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_474, type, sP212: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_475, type, sP213: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_476, type, sP214: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_477, type, sP215: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_478, type, sP216: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_479, type, sP217: !>[X0: $tType]:((list(X0) * X0 * X0 * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_480, type, sP218: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_481, type, sP219: !>[X0: $tType]:((list(X0) * X0 * X0 * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_482, type, sP220: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_483, type, sP221: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_484, type, sP222: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_485, type, sP223: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_486, type, sP224: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_487, type, sP225: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_488, type, sP226: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_489, type, sP227: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_490, type, sP228: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_491, type, sP229: !>[X0: $tType]:((fun(list(X0),fun(list(X0),bool)) * list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_492, type, sP230: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_493, type, sP231: !>[X0: $tType]:((list(X0) * list(X0) * fun(list(X0),fun(list(X0),bool))) > $o)).
% 59.09/9.96  tff(pred_def_494, type, sP232: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_495, type, sP233: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_496, type, sP234: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_497, type, sP235: !>[X0: $tType]:((fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_498, type, sP236: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_499, type, sP237: !>[X0: $tType]:((fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_500, type, sP238: !>[X0: $tType]:($o)).
% 59.09/9.96  tff(pred_def_501, type, sP239: !>[X0: $tType]:((X0 * fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_502, type, sP240: !>[X0: $tType]:((X0 * fun(X0,bool) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_503, type, sP241: set(real) > $o).
% 59.09/9.96  tff(pred_def_504, type, sP242: real > $o).
% 59.09/9.96  tff(pred_def_505, type, sP243: real > $o).
% 59.09/9.96  tff(pred_def_506, type, sP244: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1) * X1) > $o)).
% 59.09/9.96  tff(pred_def_507, type, sP245: !>[X0: $tType, X1: $tType]:($o)).
% 59.09/9.96  tff(pred_def_508, type, sP246: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_509, type, sP247: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_510, type, sP248: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > $o)).
% 59.09/9.96  tff(pred_def_511, type, sP249: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_512, type, sP250: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_513, type, sP251: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_514, type, sP252: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_515, type, sP253: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(set(X0))) > $o)).
% 59.09/9.96  tff(pred_def_516, type, sP254: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_517, type, sP255: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_518, type, sP256: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_519, type, sP257: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * fun(X0,X1) * fun(X0,bool)) > $o)).
% 59.09/9.96  tff(pred_def_520, type, sP258: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_521, type, sP259: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_522, type, sP260: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_523, type, sP261: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_524, type, sP262: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_525, type, sP263: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_526, type, sP264: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_527, type, sP265: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_528, type, sP266: (list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_529, type, sP267: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_530, type, sP268: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_531, type, sP269: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_532, type, sP270: (list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_533, type, sP271: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_534, type, sP272: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_535, type, sP273: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_536, type, sP274: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_537, type, sP275: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_538, type, sP276: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_539, type, sP277: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_540, type, sP278: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_541, type, sP279: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_542, type, sP280: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_543, type, sP281: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_544, type, sP282: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_545, type, sP283: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_546, type, sP284: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_547, type, sP285: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_548, type, sP286: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_549, type, sP287: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_550, type, sP288: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_551, type, sP289: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_552, type, sP290: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_553, type, sP291: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_554, type, sP292: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_555, type, sP293: !>[X0: $tType]:((list(list(X0))) > $o)).
% 59.09/9.96  tff(pred_def_556, type, sP294: fun(nat,bool) > $o).
% 59.09/9.96  tff(pred_def_557, type, sP295: fun(nat,bool) > $o).
% 59.09/9.96  tff(pred_def_558, type, sP296: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_559, type, sP297: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_560, type, sP298: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_561, type, sP299: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_562, type, sP300: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_563, type, sP301: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_564, type, sP302: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_565, type, sP303: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_566, type, sP304: fun(int,bool) > $o).
% 59.09/9.96  tff(pred_def_567, type, sP305: fun(nat,bool) > $o).
% 59.09/9.96  tff(pred_def_568, type, sP306: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_569, type, sP307: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_570, type, sP308: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_571, type, sP309: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_572, type, sP310: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_573, type, sP311: (nat * list(nat)) > $o).
% 59.09/9.96  tff(pred_def_574, type, sP312: (list(nat) * nat) > $o).
% 59.09/9.96  tff(pred_def_575, type, sP313: (fun(int,bool) * int) > $o).
% 59.09/9.96  tff(pred_def_576, type, sP314: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > $o)).
% 59.09/9.96  tff(pred_def_577, type, sP315: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1 * X1) > $o)).
% 59.09/9.96  tff(pred_def_578, type, sP316: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * X1) > $o)).
% 59.09/9.96  tff(pred_def_579, type, sP317: !>[X0: $tType, X1: $tType]:($o)).
% 59.09/9.96  tff(pred_def_580, type, sP318: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_581, type, sP319: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X1 * fun(X1,X0)) > $o)).
% 59.09/9.96  tff(pred_def_582, type, sP320: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > $o)).
% 59.09/9.96  tff(pred_def_583, type, sP321: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > $o)).
% 59.09/9.96  tff(pred_def_584, type, sP322: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > $o)).
% 59.09/9.96  tff(pred_def_585, type, sP323: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > $o)).
% 59.09/9.96  tff(pred_def_586, type, sP324: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_587, type, sP325: !>[X0: $tType, X1: $tType]:($o)).
% 59.09/9.96  tff(pred_def_588, type, sP326: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_589, type, sP327: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_590, type, sP328: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_591, type, sP329: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_592, type, sP330: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_593, type, sP331: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_594, type, sP332: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_595, type, sP333: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_596, type, sP334: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_597, type, sP335: fun(real,bool) > $o).
% 59.09/9.96  tff(pred_def_598, type, sP336: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 59.09/9.96  tff(pred_def_599, type, sP337: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_600, type, sP338: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_601, type, sP339: (list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_602, type, sP340: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 59.09/9.96  tff(pred_def_603, type, sP341: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_604, type, sP342: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_605, type, sP343: (list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_606, type, sP344: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_607, type, sP345: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_608, type, sP346: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_609, type, sP347: (nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_610, type, sP348: (vEBT_VEBT * nat) > $o).
% 59.09/9.96  tff(pred_def_611, type, sP349: !>[X0: $tType]:((list(list(X0))) > $o)).
% 59.09/9.96  tff(pred_def_612, type, sP350: !>[X0: $tType]:((list(list(X0))) > $o)).
% 59.09/9.96  tff(pred_def_613, type, sP351: (int * int) > $o).
% 59.09/9.96  tff(pred_def_614, type, sP352: (int * int) > $o).
% 59.09/9.96  tff(pred_def_615, type, sP353: (nat * int) > $o).
% 59.09/9.96  tff(pred_def_616, type, sP354: (nat * int) > $o).
% 59.09/9.96  tff(pred_def_617, type, sP355: (fun(nat,bool) * int) > $o).
% 59.09/9.96  tff(pred_def_618, type, sP356: (int * int) > $o).
% 59.09/9.96  tff(pred_def_619, type, sP357: (int * int) > $o).
% 59.09/9.96  tff(pred_def_620, type, sP358: (int * int) > $o).
% 59.09/9.96  tff(pred_def_621, type, sP359: (int * int) > $o).
% 59.09/9.96  tff(pred_def_622, type, sP360: (nat * int) > $o).
% 59.09/9.96  tff(pred_def_623, type, sP361: (nat * nat) > $o).
% 59.09/9.96  tff(pred_def_624, type, sP362: (nat * nat) > $o).
% 59.09/9.96  tff(pred_def_625, type, sP363: (fun(nat,bool) * nat) > $o).
% 59.09/9.96  tff(pred_def_626, type, sP364: (fun(nat,bool) * nat) > $o).
% 59.09/9.96  tff(pred_def_627, type, sP365: (fun(nat,bool) * nat) > $o).
% 59.09/9.96  tff(pred_def_628, type, sP366: (fun(nat,bool) * nat) > $o).
% 59.09/9.96  tff(pred_def_629, type, sP367: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_630, type, sP368: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_631, type, sP369: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_632, type, sP370: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_633, type, sP371: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_634, type, sP372: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_635, type, sP373: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,X0) * fun(X0,X2) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_636, type, sP374: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_637, type, sP375: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_638, type, sP376: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_639, type, sP377: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_640, type, sP378: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 59.09/9.96  tff(pred_def_641, type, sP379: (int * int * product_prod(int,int)) > $o).
% 59.09/9.96  tff(pred_def_642, type, sP380: (int * int * product_prod(int,int)) > $o).
% 59.09/9.96  tff(pred_def_643, type, sP381: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_644, type, sP382: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_645, type, sP383: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_646, type, sP384: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_647, type, sP385: (fun(int,bool) * int) > $o).
% 59.09/9.96  tff(pred_def_648, type, sP386: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_649, type, sP387: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > $o)).
% 59.09/9.96  tff(pred_def_650, type, sP388: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_651, type, sP389: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > $o)).
% 59.09/9.96  tff(pred_def_652, type, sP390: fun(nat,fun(nat,bool)) > $o).
% 59.09/9.96  tff(pred_def_653, type, sP391: (fun(nat,bool) * nat) > $o).
% 59.09/9.96  tff(pred_def_654, type, sP392: (fun(int,fun(int,bool)) * int * int) > $o).
% 59.09/9.96  tff(pred_def_655, type, sP393: (int * int * fun(int,fun(int,bool))) > $o).
% 59.09/9.96  tff(pred_def_656, type, sP394: (fun(int,bool) * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_657, type, sP395: (fun(int,bool) * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_658, type, sP396: (fun(int,fun(int,bool)) * int * int) > $o).
% 59.09/9.96  tff(pred_def_659, type, sP397: (int * int * fun(int,fun(int,bool))) > $o).
% 59.09/9.96  tff(pred_def_660, type, sP398: (real * nat * real) > $o).
% 59.09/9.96  tff(pred_def_661, type, sP399: (real * nat * real) > $o).
% 59.09/9.96  tff(pred_def_662, type, sP400: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > $o)).
% 59.09/9.96  tff(pred_def_663, type, sP401: !>[X0: $tType, X1: $tType, X2: $tType]:($o)).
% 59.09/9.96  tff(pred_def_664, type, sP402: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_665, type, sP403: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_666, type, sP404: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_667, type, sP405: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_668, type, sP406: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_669, type, sP407: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_670, type, sP408: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_671, type, sP409: (bool * nat * bool * bool) > $o).
% 59.09/9.96  tff(pred_def_672, type, sP410: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 59.09/9.96  tff(pred_def_673, type, sP411: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_674, type, sP412: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_675, type, sP413: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_676, type, sP414: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_677, type, sP415: (bool * nat * bool * bool) > $o).
% 59.09/9.96  tff(pred_def_678, type, sP416: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 59.09/9.96  tff(pred_def_679, type, sP417: (bool * nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_680, type, sP418: (bool * nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_681, type, sP419: (option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_682, type, sP420: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * bool) > $o).
% 59.09/9.96  tff(pred_def_683, type, sP421: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_684, type, sP422: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_685, type, sP423: (option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_686, type, sP424: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * bool) > $o).
% 59.09/9.96  tff(pred_def_687, type, sP425: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_688, type, sP426: (nat * nat * nat * bool) > $o).
% 59.09/9.96  tff(pred_def_689, type, sP427: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_690, type, sP428: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 59.09/9.96  tff(pred_def_691, type, sP429: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 59.09/9.96  tff(pred_def_692, type, sP430: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_693, type, sP431: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_694, type, sP432: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_695, type, sP433: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_696, type, sP434: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_697, type, sP435: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_698, type, sP436: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 59.09/9.96  tff(pred_def_699, type, sP437: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 59.09/9.96  tff(pred_def_700, type, sP438: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_701, type, sP439: (bool * nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_702, type, sP440: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_703, type, sP441: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_704, type, sP442: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_705, type, sP443: (bool * nat * bool * bool) > $o).
% 59.09/9.96  tff(pred_def_706, type, sP444: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_707, type, sP445: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 59.09/9.96  tff(pred_def_708, type, sP446: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_709, type, sP447: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_710, type, sP448: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_711, type, sP449: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_712, type, sP450: (nat * bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_713, type, sP451: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_714, type, sP452: (bool * nat * bool * bool) > $o).
% 59.09/9.96  tff(pred_def_715, type, sP453: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_716, type, sP454: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 59.09/9.96  tff(pred_def_717, type, sP455: (bool * nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_718, type, sP456: (bool * nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_719, type, sP457: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_720, type, sP458: (bool * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_721, type, sP459: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > $o)).
% 59.09/9.96  tff(pred_def_722, type, sP460: (fun(nat,bool) * nat) > $o).
% 59.09/9.96  tff(pred_def_723, type, sP461: (fun(nat,nat) * nat) > $o).
% 59.09/9.96  tff(pred_def_724, type, sP462: (product_prod(int,int) * int * int) > $o).
% 59.09/9.96  tff(pred_def_725, type, sP463: (product_prod(int,int) * int * int) > $o).
% 59.09/9.96  tff(pred_def_726, type, sP464: (int * int * product_prod(int,int)) > $o).
% 59.09/9.96  tff(pred_def_727, type, sP465: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_728, type, sP466: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_729, type, sP467: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_730, type, sP468: (fun(int,bool) * int * int) > $o).
% 59.09/9.96  tff(pred_def_731, type, sP469: (fun(int,bool) * int * int) > $o).
% 59.09/9.96  tff(pred_def_732, type, sP470: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_733, type, sP471: (fun(int,bool) * int * int) > $o).
% 59.09/9.96  tff(pred_def_734, type, sP472: (fun(int,bool) * int * int) > $o).
% 59.09/9.96  tff(pred_def_735, type, sP473: (int * int * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_736, type, sP474: (fun(nat,bool) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_737, type, sP475: (fun(nat,bool) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_738, type, sP476: (fun(nat,bool) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_739, type, sP477: (nat * bool) > $o).
% 59.09/9.96  tff(pred_def_740, type, sP478: (fun(real,bool) * real * nat) > $o).
% 59.09/9.96  tff(pred_def_741, type, sP479: !>[X0: $tType]:((nat * set(X0)) > $o)).
% 59.09/9.96  tff(pred_def_742, type, sP480: (fun(nat,bool) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_743, type, sP481: (fun(nat,bool) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_744, type, sP482: (fun(int,bool) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_745, type, sP483: (nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_746, type, sP484: (nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_747, type, sP485: (int * int * int) > $o).
% 59.09/9.96  tff(pred_def_748, type, sP486: (int * int * int) > $o).
% 59.09/9.96  tff(pred_def_749, type, sP487: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * nat) > $o)).
% 59.09/9.96  tff(pred_def_750, type, sP488: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_751, type, sP489: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_752, type, sP490: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_753, type, sP491: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_754, type, sP492: (bool * int * bool * int) > $o).
% 59.09/9.96  tff(pred_def_755, type, sP493: (bool * int * bool * int) > $o).
% 59.09/9.96  tff(pred_def_756, type, sP494: (fun(nat,fun(real,real)) * real * nat) > $o).
% 59.09/9.96  tff(pred_def_757, type, sP495: (fun(nat,fun(real,real)) * real * nat) > $o).
% 59.09/9.96  tff(pred_def_758, type, sP496: (fun(nat,fun(real,real)) * real * nat) > $o).
% 59.09/9.96  tff(pred_def_759, type, sP497: (fun(nat,fun(real,real)) * real * nat) > $o).
% 59.09/9.96  tff(pred_def_760, type, sP498: (fun(int,bool) * set(int) * int) > $o).
% 59.09/9.96  tff(pred_def_761, type, sP499: (int * set(int) * fun(int,bool) * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_762, type, sP500: (fun(int,bool) * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_763, type, sP501: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_764, type, sP502: (fun(int,bool) * set(int) * int) > $o).
% 59.09/9.96  tff(pred_def_765, type, sP503: (int * set(int) * fun(int,bool) * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_766, type, sP504: (fun(int,bool) * fun(int,bool)) > $o).
% 59.09/9.96  tff(pred_def_767, type, sP505: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_768, type, sP506: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * X0 * bool) > $o)).
% 59.09/9.96  tff(pred_def_769, type, sP507: !>[X0: $tType]:((bool * list(X0) * fun(X0,fun(X0,bool))) > $o)).
% 59.09/9.96  tff(pred_def_770, type, sP508: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > $o)).
% 59.09/9.96  tff(pred_def_771, type, sP509: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > $o)).
% 59.09/9.96  tff(pred_def_772, type, sP510: (fun(nat,int) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_773, type, sP511: (int * set(int) * int) > $o).
% 59.09/9.96  tff(pred_def_774, type, sP512: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_775, type, sP513: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_776, type, sP514: (int * set(int) * int) > $o).
% 59.09/9.96  tff(pred_def_777, type, sP515: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_778, type, sP516: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_779, type, sP517: (int * set(int) * int) > $o).
% 59.09/9.96  tff(pred_def_780, type, sP518: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_781, type, sP519: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_782, type, sP520: (int * set(int) * int) > $o).
% 59.09/9.96  tff(pred_def_783, type, sP521: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_784, type, sP522: (int * fun(int,bool) * set(int)) > $o).
% 59.09/9.96  tff(pred_def_785, type, sP523: (bool * bool * bool * bool) > $o).
% 59.09/9.96  tff(pred_def_786, type, sP524: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_787, type, sP525: (nat * nat * int * int) > $o).
% 59.09/9.96  tff(pred_def_788, type, sP526: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_789, type, sP527: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_790, type, sP528: (int * int * int) > $o).
% 59.09/9.96  tff(pred_def_791, type, sP529: (int * int * int * int) > $o).
% 59.09/9.96  tff(pred_def_792, type, sP530: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_793, type, sP531: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_794, type, sP532: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_795, type, sP533: (nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_796, type, sP534: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > $o)).
% 59.09/9.96  tff(pred_def_797, type, sP535: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > $o)).
% 59.09/9.96  tff(pred_def_798, type, sP536: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 59.09/9.96  tff(pred_def_799, type, sP537: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 59.09/9.96  tff(pred_def_800, type, sP538: (option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_801, type, sP539: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_802, type, sP540: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_803, type, sP541: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_804, type, sP542: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,bool) * X0) > $o)).
% 59.09/9.96  tff(pred_def_805, type, sP543: (nat * nat * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_806, type, sP544: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_807, type, sP545: (nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > $o).
% 59.09/9.96  tff(pred_def_808, type, sP546: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * nat * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_809, type, sP547: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_810, type, sP548: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 59.09/9.96  tff(pred_def_811, type, sP549: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 59.09/9.96  tff(pred_def_812, type, sP550: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_813, type, sP551: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_814, type, sP552: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_815, type, sP553: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 59.09/9.96  tff(pred_def_816, type, sP554: !>[X0: $tType]:((fun(X0,bool) * list(X0) * X0 * list(X0) * list(X0)) > $o)).
% 59.09/9.96  tff(pred_def_817, type, sP555: (real * real * real) > $o).
% 59.09/9.96  tff(pred_def_818, type, sP556: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 59.09/9.96  tff(pred_def_819, type, sP557: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 59.09/9.96  tff(pred_def_820, type, sP558: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_821, type, sP559: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_822, type, sP560: (list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_823, type, sP561: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 59.09/9.96  tff(pred_def_824, type, sP562: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_825, type, sP563: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 59.09/9.96  tff(pred_def_826, type, sP564: (list(vEBT_VEBT) * nat * nat) > $o).
% 59.09/9.96  tff(pred_def_827, type, sP565: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool)) > $o)).
% 59.09/9.96  tff(pred_def_828, type, sP566: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) * list(X0) * list(X1)) > $o)).
% 59.09/9.96  tff(f118063,plain,(
% 59.09/9.96    $false),
% 59.09/9.96    inference(avatar_sat_refutation,[],[f64227,f64232,f64237,f64242,f64247,f64252,f64257,f64262,f64267,f64272,f64277,f64282,f64287,f64292,f64297,f64302,f64307,f64312,f64317,f64322,f64327,f64332,f64337,f64342,f64347,f64352,f64357,f64362,f64367,f64372,f64377,f64382,f64387,f64392,f64397,f64402,f64407,f64412,f64417,f64422,f64427,f64432,f64437,f64442,f64447,f64452,f64457,f64462,f64467,f64472,f64477,f64482,f64487,f64492,f64497,f64502,f64507,f64512,f64517,f64522,f64527,f64532,f64537,f64542,f64547,f64552,f64557,f64562,f64567,f64572,f64577,f64582,f64587,f64592,f64597,f64602,f64607,f64612,f64617,f64622,f64627,f64632,f64637,f64642,f64647,f64652,f64657,f64662,f64667,f64672,f64677,f64682,f64687,f64692,f64697,f64702,f64707,f64712,f64717,f64722,f64727,f64732,f64737,f64742,f64747,f64752,f64757,f64762,f64767,f64772,f64777,f64782,f64787,f64792,f64797,f64802,f64807,f64812,f64817,f64822,f64827,f64832,f64837,f64842,f64847,f64852,f64857,f64862,f64867,f64872,f64877,f64882,f64887,f64892,f64897,f64902,f64907,f64912,f64917,f64922,f64927,f64932,f64937,f64942,f64947,f64952,f64957,f64962,f64967,f64972,f64977,f64982,f64987,f64992,f64997,f65002,f65007,f65012,f65017,f65022,f65027,f65032,f65037,f65042,f65047,f65052,f65057,f65062,f65067,f65072,f65077,f65082,f65087,f65092,f65097,f65102,f65107,f65112,f65117,f65122,f65127,f65132,f65137,f65142,f65147,f65152,f65157,f65162,f65167,f65172,f65177,f65182,f65187,f65192,f65197,f65202,f65207,f65212,f65217,f65222,f65227,f65232,f65237,f65242,f65247,f65252,f65257,f65262,f65267,f65272,f65277,f65282,f65287,f65292,f65297,f65302,f65307,f65312,f65317,f65322,f65327,f65332,f65337,f65342,f65347,f65352,f65357,f65362,f65367,f65372,f65377,f65382,f65387,f65392,f65397,f65402,f65407,f65412,f65417,f65422,f65427,f65432,f65437,f65442,f65447,f65452,f65457,f65462,f65467,f65472,f65477,f65482,f65487,f65492,f65497,f65502,f65507,f65512,f65517,f65522,f65527,f65532,f65537,f65542,f65547,f65552,f65557,f65562,f65567,f65572,f65577,f65582,f65587,f65592,f65597,f65602,f65607,f65612,f65617,f65622,f65627,f65632,f65637,f65642,f65647,f65652,f65657,f65662,f65667,f65672,f65677,f65682,f65687,f65692,f65697,f65702,f65707,f65712,f65717,f65722,f65727,f65732,f65737,f65742,f65747,f65752,f65757,f65762,f65767,f65772,f65777,f65782,f65787,f65792,f65797,f65802,f65807,f65812,f65817,f65822,f65827,f65832,f65837,f65842,f65847,f65852,f65857,f65862,f65867,f65872,f65877,f65882,f65887,f65892,f65897,f65902,f65907,f65912,f65917,f65922,f65927,f65932,f65937,f65942,f65947,f65952,f65957,f65962,f65967,f65972,f65977,f65982,f65987,f65992,f65997,f66002,f66007,f66012,f66017,f66022,f66027,f66032,f66037,f66042,f66047,f66052,f66057,f66062,f66067,f66072,f66077,f66082,f66087,f66092,f66097,f66102,f66107,f66112,f66117,f66122,f66127,f66132,f66137,f66142,f66147,f66152,f66157,f66162,f66167,f66172,f66177,f66182,f66187,f66192,f66197,f66202,f66207,f66212,f66217,f66222,f66227,f66232,f66237,f66242,f66247,f66252,f66257,f66262,f66267,f66272,f66277,f66282,f66287,f66292,f66297,f66302,f66307,f66312,f66317,f66322,f66327,f66332,f66337,f66342,f66347,f66352,f66357,f66362,f66367,f66372,f66377,f66382,f66387,f66392,f66397,f66402,f66407,f66412,f66417,f66422,f66427,f66432,f66437,f66442,f66447,f66452,f66457,f66462,f66467,f66472,f66477,f66482,f66487,f66492,f66497,f66502,f66507,f66512,f66517,f66522,f66527,f66532,f66537,f66542,f66547,f66552,f66557,f66562,f66567,f66572,f66577,f66582,f66587,f66592,f66597,f66602,f66607,f66612,f66617,f66622,f66627,f66632,f66637,f66642,f66647,f66652,f66657,f66662,f66667,f66672,f66677,f66682,f66687,f66692,f66697,f66702,f66707,f66712,f66717,f66722,f66727,f66732,f66737,f66742,f66747,f66752,f66757,f66762,f66767,f66772,f66777,f66782,f66787,f66792,f66797,f66802,f66807,f66812,f66817,f66822,f66827,f66832,f66837,f66842,f66847,f66852,f66857,f66862,f66867,f66872,f66877,f66882,f66887,f66892,f66897,f66902,f66907,f66912,f66917,f66922,f66927,f66932,f66937,f66942,f66947,f66952,f66957,f66962,f66967,f66972,f66977,f66982,f66987,f66992,f66997,f67002,f67007,f67012,f67017,f67022,f67027,f67032,f67037,f67042,f67047,f67052,f67057,f67062,f67067,f67072,f67077,f67082,f67087,f67092,f67097,f67102,f67107,f67112,f67117,f67122,f67127,f67132,f67137,f67142,f67147,f67152,f67157,f67162,f67167,f67172,f67177,f67182,f67187,f67192,f67197,f67202,f67207,f67212,f67217,f67222,f67227,f67232,f67237,f67242,f67247,f67252,f67257,f67262,f67267,f67272,f67277,f67282,f67287,f67292,f67297,f67302,f67307,f67312,f67317,f67322,f67327,f67332,f67337,f67342,f67347,f67352,f67357,f67362,f67367,f67372,f67377,f67382,f67387,f67392,f67397,f67402,f67407,f67412,f67417,f67422,f67427,f67432,f67437,f67442,f67447,f67452,f67457,f67462,f67467,f67472,f67477,f67482,f67487,f67492,f67497,f67502,f67507,f67512,f67517,f67522,f67527,f67532,f67537,f67542,f67547,f67552,f67557,f67562,f67567,f67572,f67577,f67582,f67587,f67592,f67597,f67602,f67607,f67612,f67617,f67622,f67627,f67632,f67637,f67642,f67647,f67652,f67657,f67662,f67667,f67672,f67677,f67682,f67687,f67692,f67697,f67702,f67707,f67712,f67717,f67722,f67727,f67732,f67737,f67742,f67747,f67752,f67757,f67762,f67767,f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f82109,f82114,f82120,f82125,f82131,f82136,f82171,f82175,f82180,f82223,f82227,f82231,f82235,f82240,f82251,f82256,f82267,f82272,f82279,f82283,f82287,f82291,f82295,f82299,f82303,f82307,f82311,f82315,f82319,f82323,f82327,f82331,f82335,f82339,f82343,f82347,f82352,f82412,f82417,f82424,f82428,f82432,f82436,f82440,f82445,f82454,f82459,f82463,f82467,f82471,f82475,f82479,f82483,f82487,f82491,f82496,f82505,f82510,f82520,f82524,f82528,f82533,f82545,f82549,f82553,f82557,f82561,f82565,f82569,f82573,f82577,f82581,f82585,f82589,f82593,f82597,f82601,f82605,f82609,f82613,f82617,f82621,f82625,f82629,f82633,f82637,f82641,f82645,f82650,f82655,f83535,f83541,f83546,f83551,f83556,f83560,f83565,f83577,f83581,f83585,f83589,f83593,f83597,f83601,f83605,f83610,f83644,f83648,f83652,f83656,f83661,f83677,f83681,f83685,f83689,f83693,f83697,f83701,f83705,f83710,f83716,f83721,f83727,f83731,f83735,f83739,f83743,f83748,f83775,f83780,f83795,f83799,f83803,f83807,f83812,f83827,f83831,f83835,f83839,f83843,f83848,f83875,f83879,f83883,f83887,f83891,f83895,f83899,f83903,f83907,f83911,f83915,f83919,f83924,f83941,f83946,f83955,f83960,f83969,f83974,f83983,f83988,f83997,f84002,f84011,f84015,f84020,f84029,f84034,f84043,f84048,f84057,f84061,f84065,f84069,f84073,f84077,f84081,f84086,f84096,f84101,f84111,f84116,f84126,f84131,f84141,f84146,f84165,f84170,f84189,f84194,f84206,f84211,f84223,f84228,f84240,f84245,f84261,f84266,f84280,f84285,f84301,f84306,f84318,f84323,f84340,f84345,f84364,f84369,f84385,f84390,f84409,f84413,f84417,f84421,f84425,f84429,f84434,f84446,f84450,f84454,f84459,f84473,f84478,f84492,f84496,f84501,f84515,f84520,f84534,f84539,f84552,f84557,f84570,f84575,f84589,f84594,f84608,f84612,f84616,f84620,f84624,f84628,f84633,f84645,f84650,f84674,f84679,f84703,f84708,f84720,f84725,f84749,f84754,f84778,f84782,f84786,f84790,f84794,f84799,f84809,f84814,f84824,f84829,f84836,f84840,f84844,f84848,f84852,f84857,f84869,f84873,f84877,f84881,f84885,f84889,f84893,f84898,f84907,f84912,f84921,f84925,f84929,f84933,f84937,f84941,f84945,f84949,f84953,f84957,f84961,f84965,f84969,f84974,f84984,f84988,f84993,f85002,f85006,f85011,f85020,f85024,f85028,f85032,f85037,f85049,f85053,f85057,f85061,f85065,f85069,f85074,f85085,f85090,f85101,f85105,f85110,f85114,f85119,f85123,f85127,f85131,f85135,f85140,f85145,f85150,f85155,f85160,f85165,f85170,f85175,f85180,f85185,f85190,f85195,f85200,f85205,f85210,f85215,f85219,f85223,f85228,f85241,f85246,f85259,f85264,f85277,f85282,f85286,f85290,f85294,f85299,f85308,f85320,f85324,f85329,f85333,f85337,f85341,f85346,f85363,f85367,f85372,f85383,f85388,f85399,f85403,f85408,f85419,f85424,f85436,f85441,f85452,f85457,f85468,f85473,f85490,f85495,f85513,f85518,f85523,f85527,f85531,f85536,f85541,f85545,f85549,f85553,f85557,f85561,f85565,f85569,f85574,f85592,f85601,f85696,f85700,f85704,f85709,f85722,f85727,f85731,f85735,f85739,f85743,f85747,f85751,f85755,f85759,f85763,f87944,f87949,f87954,f87958,f87963,f87972,f87977,f87986,f87991,f88019,f88023,f88027,f88032,f88047,f88052,f88068,f88073,f88086,f88091,f88104,f88109,f88116,f88120,f88124,f88129,f88135,f88140,f88146,f88150,f88155,f88161,f88166,f88172,f88177,f88184,f88189,f88196,f88201,f88213,f88218,f88230,f88235,f88239,f88244,f88248,f88253,f88257,f88262,f88266,f88271,f88291,f88296,f88314,f88318,f88322,f88326,f88330,f88334,f88338,f88342,f88346,f88350,f88354,f88358,f88362,f88366,f88370,f88374,f88378,f88383,f88404,f88408,f88412,f88416,f88421,f88478,f88483,f88492,f88497,f88506,f88510,f88514,f88518,f88522,f88526,f88530,f88535,f88544,f88549,f88559,f88564,f88574,f88579,f88589,f88594,f88604,f88608,f88613,f88630,f88635,f88655,f88660,f88680,f88685,f88708,f88712,f88717,f88730,f88735,f88748,f88752,f88756,f88760,f88764,f88768,f88772,f88776,f88780,f88785,f88790,f88795,f88800,f88804,f88808,f88812,f88816,f88820,f88825,f88838,f88843,f88872,f88876,f88881,f88894,f88899,f88928,f88933,f88962,f88967,f88996,f89001,f89052,f89056,f89060,f89064,f89068,f89072,f89076,f89080,f89084,f89089,f89100,f89105,f89116,f89121,f89155,f89159,f89164,f89168,f89173,f89183,f89188,f89192,f89197,f89203,f89207,f89211,f89216,f89238,f89243,f89264,f89269,f89315,f89320,f89335,f89340,f89344,f89349,f89353,f89358,f89362,f89367,f89371,f89376,f89380,f89385,f89389,f89394,f89398,f89403,f89407,f89412,f89416,f89421,f89425,f89430,f89434,f89439,f89443,f89448,f89452,f89457,f89461,f89465,f89470,f89485,f89490,f89509,f89513,f89517,f89522,f89581,f89586,f89615,f89620,f89679,f89684,f89713,f89718,f89723,f89728,f89733,f89738,f89743,f89748,f89753,f89758,f89763,f89768,f89773,f89777,f89781,f89785,f89790,f89794,f89798,f89802,f89806,f89810,f89814,f89818,f89822,f89826,f89831,f89836,f89840,f89844,f89848,f89852,f89856,f89860,f89865,f89874,f89879,f89888,f89893,f89903,f89908,f89918,f89922,f89927,f89936,f89941,f89950,f89955,f89968,f89973,f89986,f89991,f90007,f90012,f90037,f90213,f90214,f90215,f90216,f90217,f90218,f90219,f90220,f90221,f90222,f90223,f90224,f90225,f90226,f90227,f90228,f90229,f90230,f90231,f90232,f90233,f90234,f90235,f90236,f90237,f90238,f90239,f90240,f90241,f90242,f90243,f90244,f90245,f90246,f90247,f90248,f90249,f90250,f90251,f90252,f90253,f90254,f90255,f90256,f90257,f90258,f90259,f90260,f107694,f108171,f108176,f109059,f109856,f111115,f111119,f111123,f112526,f112769,f115540,f115544,f115548,f115552,f115556,f115560,f115564,f115568,f115572,f115576,f115580,f115584,f115588,f115592,f115596,f115600,f115604,f115608,f115612,f115616,f115620,f115624,f115628,f115632,f115636,f115886,f116308,f116312,f116316,f116320,f116324,f116328,f116333,f116390,f116395,f116401,f116406,f116417,f116422,f116433,f116438,f116455,f116460,f116474,f116479,f116489,f116493,f116497,f116501,f116506,f116512,f116516,f116521,f116531,f116536,f116572,f116577,f116586,f116715,f116736,f116740,f116744,f116748,f116752,f116756,f116760,f116764,f116768,f116772,f116826,f116895,f116982,f117417,f117450,f117454,f117458,f117462,f117470,f117648,f117834,f117882,f117899,f117903,f117907,f117911,f117915,f117919,f117923,f117927,f117931,f117935,f117939,f117944,f117955,f117960,f117964,f117975,f117980,f117995,f117999,f118003,f118007,f118011,f118015,f118020,f118024,f118028,f118032,f118036,f118040,f118044,f118048,f118052,f118056,f118060,f118062])).
% 59.09/9.96  tff(f118062,plain,(
% 59.09/9.96    ~spl2737_829 | ~spl2737_3620),
% 59.09/9.96    inference(avatar_contradiction_clause,[],[f118061])).
% 59.09/9.96  tff(f118061,plain,(
% 59.09/9.96    $false | (~spl2737_829 | ~spl2737_3620)),
% 59.09/9.96    inference(resolution,[],[f116767,f68366])).
% 59.09/9.96  tff(f68366,plain,(
% 59.09/9.96    vEBT_invar_vebt(summary,m) | ~spl2737_829),
% 59.09/9.96    inference(avatar_component_clause,[],[f68364])).
% 59.09/9.96  tff(f68364,plain,(
% 59.09/9.96    spl2737_829 <=> vEBT_invar_vebt(summary,m)),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_829])])).
% 59.09/9.96  tff(f116767,plain,(
% 59.09/9.96    ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,m)) ) | ~spl2737_3620),
% 59.09/9.96    inference(avatar_component_clause,[],[f116766])).
% 59.09/9.96  tff(f116766,plain,(
% 59.09/9.96    spl2737_3620 <=> ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,m)),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3620])])).
% 59.09/9.96  tff(f118060,plain,(
% 59.09/9.96    spl2737_3667),
% 59.09/9.96    inference(avatar_split_clause,[],[f93135,f118058])).
% 59.09/9.96  tff(f118058,plain,(
% 59.09/9.96    spl2737_3667 <=> ! [X1 : $tType,X0 : fun(nat,X1),X3 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK588(X1,X0,X3)),X3)) | sP5(X1,X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3667])])).
% 59.09/9.96  tff(f93135,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X3 : nat,X0 : fun(nat,X1)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK588(X1,X0,X3)),X3)) | sP5(X1,X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f36559,f50171])).
% 59.09/9.96  tff(f50171,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : fun(X0,fun(X2,X1)),X4 : X2,X5 : X0] : (aa(X2,X1,aa(X0,fun(X2,X1),X3,X5),X4) = aa(X0,X1,combc(X0,X2,X1,X3,X4),X5)) )),
% 59.09/9.96    inference(cnf_transformation,[],[f18178])).
% 59.09/9.96  tff(f18178,plain,(
% 59.09/9.96    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : fun(X0,fun(X2,X1)),X4 : X2,X5 : X0] : aa(X2,X1,aa(X0,fun(X2,X1),X3,X5),X4) = aa(X0,X1,combc(X0,X2,X1,X3,X4),X5)),
% 59.09/9.96    inference(rectify,[],[f9879])).
% 59.09/9.96  tff(f9879,axiom,(
% 59.09/9.96    ! [X0 : $tType,X2 : $tType,X1 : $tType,X17 : fun(X0,fun(X1,X2)),X31 : X1,X111 : X0] : aa(X0,X2,combc(X0,X1,X2,X17,X31),X111) = aa(X1,X2,aa(X0,fun(X1,X2),X17,X111),X31)),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U)).
% 59.09/9.96  tff(f36559,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X3 : nat,X0 : fun(nat,X1)] : (sP5(X1,X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),sK588(X1,X0,X3)))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f28015])).
% 59.09/9.96  tff(f28015,plain,(
% 59.09/9.96    ! [X0 : fun(nat,X1),X1 : $tType] : ((sP5(X1,X0) | (! [X3 : nat] : ((~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,sK588(X1,X0,X3)),aa(nat,X1,X0,sK589(X1,X0,X3)))),sK587(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK588(X1,X0,X3)),sK589(X1,X0,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),sK588(X1,X0,X3)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),sK587(X1,X0))))) & (! [X6 : real] : (! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X8),aa(nat,X1,X0,X9))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK590(X1,X0,X6)),X8))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))) | ~sP5(X1,X0)))),
% 59.09/9.96    inference(skolemisation,[status(esa),new_symbols(skolem,[sK587,sK588,sK589,sK590])],[f28010,f28014,f28013,f28012,f28011])).
% 59.09/9.96  tff(f28011,plain,(
% 59.09/9.96    ! [X1 : $tType,X0 : fun(nat,X1)] : (? [X2 : real] : (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X4),aa(nat,X1,X0,X5))),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))) => (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X4),aa(nat,X1,X0,X5))),sK587(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),sK587(X1,X0)))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f28012,plain,(
% 59.09/9.96    ! [X1 : $tType,X0 : fun(nat,X1),X3 : nat] : (? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X4),aa(nat,X1,X0,X5))),sK587(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) => (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,sK588(X1,X0,X3)),aa(nat,X1,X0,X5))),sK587(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK588(X1,X0,X3)),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),sK588(X1,X0,X3)))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f28013,plain,(
% 59.09/9.96    ! [X1 : $tType,X0 : fun(nat,X1),X3 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,sK588(X1,X0,X3)),aa(nat,X1,X0,X5))),sK587(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK588(X1,X0,X3)),X5))) => (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,sK588(X1,X0,X3)),aa(nat,X1,X0,sK589(X1,X0,X3)))),sK587(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK588(X1,X0,X3)),sK589(X1,X0,X3)))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f28014,plain,(
% 59.09/9.96    ! [X1 : $tType,X0 : fun(nat,X1),X6 : real] : (? [X7 : nat] : ! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X8),aa(nat,X1,X0,X9))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8))) => ! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X8),aa(nat,X1,X0,X9))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK590(X1,X0,X6)),X8))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f28010,plain,(
% 59.09/9.96    ! [X0 : fun(nat,X1),X1 : $tType] : ((sP5(X1,X0) | ? [X2 : real] : (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X4),aa(nat,X1,X0,X5))),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)))) & (! [X6 : real] : (? [X7 : nat] : ! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X1,aa(nat,X1,X0,X8),aa(nat,X1,X0,X9))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))) | ~sP5(X1,X0)))),
% 59.09/9.96    inference(rectify,[],[f28009])).
% 59.09/9.96  tff(f28009,plain,(
% 59.09/9.96    ! [X1 : fun(nat,X0),X0 : $tType] : ((sP5(X0,X1) | ? [X2 : real] : (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)))) & (! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))) | ~sP5(X0,X1)))),
% 59.09/9.96    inference(nnf_transformation,[],[f27099])).
% 59.09/9.96  tff(f27099,plain,(
% 59.09/9.96    ! [X1 : fun(nat,X0),X0 : $tType] : (sP5(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))))),
% 59.09/9.96    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])).
% 59.09/9.96  tff(f118056,plain,(
% 59.09/9.96    spl2737_3666),
% 59.09/9.96    inference(avatar_split_clause,[],[f93126,f118054])).
% 59.09/9.96  tff(f118054,plain,(
% 59.09/9.96    spl2737_3666 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))),X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3666])])).
% 59.09/9.96  tff(f93126,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))),X0))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54533,f50171])).
% 59.09/9.96  tff(f54533,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54532,f54446])).
% 59.09/9.96  tff(f54446,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54445,f54081])).
% 59.09/9.96  tff(f54081,plain,(
% 59.09/9.96    aa(nat,nat,suc,one_one(nat)) = aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),
% 59.09/9.96    inference(forward_demodulation,[],[f54080,f35414])).
% 59.09/9.96  tff(f35414,plain,(
% 59.09/9.96    numeral_numeral(nat) = nat_of_num),
% 59.09/9.96    inference(cnf_transformation,[],[f7780])).
% 59.09/9.96  tff(f7780,axiom,(
% 59.09/9.96    numeral_numeral(nat) = nat_of_num),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7779_nat__of__num__numeral)).
% 59.09/9.96  tff(f54080,plain,(
% 59.09/9.96    aa(nat,nat,suc,one_one(nat)) = aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),
% 59.09/9.96    inference(forward_demodulation,[],[f50524,f50511])).
% 59.09/9.96  tff(f50511,plain,(
% 59.09/9.96    aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2) = aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)),
% 59.09/9.96    inference(definition_unfolding,[],[f35391,f50501,f35936])).
% 59.09/9.96  tff(f35936,plain,(
% 59.09/9.96    ( ! [X0 : num] : (inc(X0) = aa(num,num,aa(num,fun(num,num),plus_plus(num),X0),one2)) )),
% 59.09/9.96    inference(cnf_transformation,[],[f10099])).
% 59.09/9.96  tff(f10099,plain,(
% 59.09/9.96    ! [X0 : num] : inc(X0) = aa(num,num,aa(num,fun(num,num),plus_plus(num),X0),one2)),
% 59.09/9.96    inference(rectify,[],[f2366])).
% 59.09/9.96  tff(f2366,axiom,(
% 59.09/9.96    ! [X14 : num] : aa(num,num,aa(num,fun(num,num),plus_plus(num),X14),one2) = inc(X14)),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2365_add__One)).
% 59.09/9.96  tff(f50501,plain,(
% 59.09/9.96    ( ! [X0 : num] : (bit0(X0) = aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(X0)),one2)) )),
% 59.09/9.96    inference(definition_unfolding,[],[f35781,f35936])).
% 59.09/9.96  tff(f35781,plain,(
% 59.09/9.96    ( ! [X0 : num] : (bit0(X0) = inc(bitM(X0))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f9951])).
% 59.09/9.96  tff(f9951,plain,(
% 59.09/9.96    ! [X0 : num] : bit0(X0) = inc(bitM(X0))),
% 59.09/9.96    inference(rectify,[],[f3406])).
% 59.09/9.96  tff(f3406,axiom,(
% 59.09/9.96    ! [X8 : num] : bit0(X8) = inc(bitM(X8))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3405_inc__BitM__eq)).
% 59.09/9.96  tff(f35391,plain,(
% 59.09/9.96    bit0(one2) = inc(one2)),
% 59.09/9.96    inference(cnf_transformation,[],[f2365])).
% 59.09/9.96  tff(f2365,axiom,(
% 59.09/9.96    bit0(one2) = inc(one2)),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2364_inc_Osimps_I1_J)).
% 59.09/9.96  tff(f50524,plain,(
% 59.09/9.96    aa(nat,nat,suc,one_one(nat)) = aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),
% 59.09/9.96    inference(definition_unfolding,[],[f35517,f50501])).
% 59.09/9.96  tff(f35517,plain,(
% 59.09/9.96    aa(num,nat,numeral_numeral(nat),bit0(one2)) = aa(nat,nat,suc,one_one(nat))),
% 59.09/9.96    inference(cnf_transformation,[],[f2321])).
% 59.09/9.96  tff(f2321,axiom,(
% 59.09/9.96    aa(num,nat,numeral_numeral(nat),bit0(one2)) = aa(nat,nat,suc,one_one(nat))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2320_Suc__1)).
% 59.09/9.96  tff(f54445,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54444,f35414])).
% 59.09/9.96  tff(f54444,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f50642,f50511])).
% 59.09/9.96  tff(f50642,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)) )),
% 59.09/9.96    inference(definition_unfolding,[],[f36144,f50501])).
% 59.09/9.96  tff(f36144,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f10304])).
% 59.09/9.96  tff(f10304,plain,(
% 59.09/9.96    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))),
% 59.09/9.96    inference(rectify,[],[f3283])).
% 59.09/9.96  tff(f3283,axiom,(
% 59.09/9.96    ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X8) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X8))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3282_Suc__mask__eq__exp)).
% 59.09/9.96  tff(f54532,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54531,f54081])).
% 59.09/9.96  tff(f54531,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54530,f35414])).
% 59.09/9.96  tff(f54530,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f50661,f50511])).
% 59.09/9.96  tff(f50661,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)))) )),
% 59.09/9.96    inference(definition_unfolding,[],[f36202,f50501])).
% 59.09/9.96  tff(f36202,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f10362])).
% 59.09/9.96  tff(f10362,plain,(
% 59.09/9.96    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)))),
% 59.09/9.96    inference(rectify,[],[f2380])).
% 59.09/9.96  tff(f2380,axiom,(
% 59.09/9.96    ! [X8 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X8)))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2379_less__exp)).
% 59.09/9.96  tff(f118052,plain,(
% 59.09/9.96    spl2737_3665),
% 59.09/9.96    inference(avatar_split_clause,[],[f93095,f118050])).
% 59.09/9.96  tff(f118050,plain,(
% 59.09/9.96    spl2737_3665 <=> ! [X4 : vEBT_VEBT,X0 : nat,X3 : nat,X2 : nat,X1 : list(vEBT_VEBT)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X3),X2)) | ~sP545(X0,X1,X2,X3,X4))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3665])])).
% 59.09/9.96  tff(f93095,plain,(
% 59.09/9.96    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X3),X2)) | ~sP545(X0,X1,X2,X3,X4)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f50121,f50171])).
% 59.09/9.96  tff(f50121,plain,(
% 59.09/9.96    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)) | ~sP545(X0,X1,X2,X3,X4)) )),
% 59.09/9.96    inference(cnf_transformation,[],[f34367])).
% 59.09/9.96  tff(f34367,plain,(
% 59.09/9.96    ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat,X4 : vEBT_VEBT] : ((sP545(X0,X1,X2,X3,X4) | ~sP543(X3,X2,X1,X0) | ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2675(X1)),sK2676(X1))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2675(X1)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) & X2 = X3) | ~sP544(X4,X1,X0) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & ((sP543(X3,X2,X1,X0) & (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) | X2 != X3) & sP544(X4,X1,X0) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~sP545(X0,X1,X2,X3,X4)))),
% 59.09/9.96    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2675,sK2676])],[f34364,f34366,f34365])).
% 59.09/9.96  tff(f34365,plain,(
% 59.09/9.96    ! [X1 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) => (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2675(X1)),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2675(X1)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f34366,plain,(
% 59.09/9.96    ! [X1 : list(vEBT_VEBT)] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2675(X1)),X6)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2675(X1)),sK2676(X1))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f34364,plain,(
% 59.09/9.96    ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : nat,X3 : nat,X4 : vEBT_VEBT] : ((sP545(X0,X1,X2,X3,X4) | ~sP543(X3,X2,X1,X0) | (? [X5 : vEBT_VEBT] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) & X2 = X3) | ~sP544(X4,X1,X0) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & ((sP543(X3,X2,X1,X0) & (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) | X2 != X3) & sP544(X4,X1,X0) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~sP545(X0,X1,X2,X3,X4)))),
% 59.09/9.96    inference(rectify,[],[f34363])).
% 59.09/9.96  tff(f34363,plain,(
% 59.09/9.96    ! [X0 : nat,X1 : list(vEBT_VEBT),X3 : nat,X4 : nat,X2 : vEBT_VEBT] : ((sP545(X0,X1,X3,X4,X2) | ~sP543(X4,X3,X1,X0) | (? [X6 : vEBT_VEBT] : (? [X7 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X6),X7)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) & X3 = X4) | ~sP544(X2,X1,X0) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & ((sP543(X4,X3,X1,X0) & (! [X6 : vEBT_VEBT] : (! [X7 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X6),X7)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) | X3 != X4) & sP544(X2,X1,X0) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~sP545(X0,X1,X3,X4,X2)))),
% 59.09/9.96    inference(flattening,[],[f34362])).
% 59.09/9.96  tff(f34362,plain,(
% 59.09/9.96    ! [X0 : nat,X1 : list(vEBT_VEBT),X3 : nat,X4 : nat,X2 : vEBT_VEBT] : ((sP545(X0,X1,X3,X4,X2) | (~sP543(X4,X3,X1,X0) | (? [X6 : vEBT_VEBT] : (? [X7 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X6),X7)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) & X3 = X4) | ~sP544(X2,X1,X0) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4)))) & ((sP543(X4,X3,X1,X0) & (! [X6 : vEBT_VEBT] : (! [X7 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X6),X7)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) | X3 != X4) & sP544(X2,X1,X0) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~sP545(X0,X1,X3,X4,X2)))),
% 59.09/9.96    inference(nnf_transformation,[],[f27911])).
% 59.09/9.96  tff(f27911,plain,(
% 59.09/9.96    ! [X0 : nat,X1 : list(vEBT_VEBT),X3 : nat,X4 : nat,X2 : vEBT_VEBT] : (sP545(X0,X1,X3,X4,X2) <=> (sP543(X4,X3,X1,X0) & (! [X6 : vEBT_VEBT] : (! [X7 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X6),X7)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))) | X3 != X4) & sP544(X2,X1,X0) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))))),
% 59.09/9.96    introduced(predicate_definition_introduction,[new_symbols(naming,[sP545])])).
% 59.09/9.96  tff(f118048,plain,(
% 59.09/9.96    spl2737_3664),
% 59.09/9.96    inference(avatar_split_clause,[],[f92782,f118046])).
% 59.09/9.96  tff(f118046,plain,(
% 59.09/9.96    spl2737_3664 <=> ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK671(X1,X0))) | sP16(X1,X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3664])])).
% 59.09/9.96  tff(f92782,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK671(X1,X0))) | sP16(X1,X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f37115,f50171])).
% 59.09/9.96  tff(f37115,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (sP16(X1,X0) | pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK671(X1,X0)),X0))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f28271])).
% 59.09/9.96  tff(f28271,plain,(
% 59.09/9.96    ! [X0 : set(X1),X1 : $tType] : ((sP16(X1,X0) | ((~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),sK670(X1,X0)),sK671(X1,X0))),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK671(X1,X0)),X0))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK670(X1,X0)),X0)))) & (! [X4 : X1] : (! [X5 : X1] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X4),X5)),X0)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X0))) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X0))) | ~sP16(X1,X0)))),
% 59.09/9.96    inference(skolemisation,[status(esa),new_symbols(skolem,[sK670,sK671])],[f28268,f28270,f28269])).
% 59.09/9.96  tff(f28269,plain,(
% 59.09/9.96    ! [X1 : $tType,X0 : set(X1)] : (? [X2 : X1] : (? [X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X2),X0))) => (? [X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),sK670(X1,X0)),X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK670(X1,X0)),X0))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f28270,plain,(
% 59.09/9.96    ! [X1 : $tType,X0 : set(X1)] : (? [X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),sK670(X1,X0)),X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0))) => (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),sK670(X1,X0)),sK671(X1,X0))),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK671(X1,X0)),X0))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f28268,plain,(
% 59.09/9.96    ! [X0 : set(X1),X1 : $tType] : ((sP16(X1,X0) | ? [X2 : X1] : (? [X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X2),X0)))) & (! [X4 : X1] : (! [X5 : X1] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X4),X5)),X0)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X0))) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X0))) | ~sP16(X1,X0)))),
% 59.09/9.96    inference(rectify,[],[f28267])).
% 59.09/9.96  tff(f28267,plain,(
% 59.09/9.96    ! [X1 : set(X0),X0 : $tType] : ((sP16(X0,X1) | ? [X4 : X0] : (? [X5 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5)),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X1))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)))) & (! [X4 : X0] : (! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X1))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) | ~sP16(X0,X1)))),
% 59.09/9.96    inference(nnf_transformation,[],[f27116])).
% 59.09/9.96  tff(f27116,plain,(
% 59.09/9.96    ! [X1 : set(X0),X0 : $tType] : (sP16(X0,X1) <=> ! [X4 : X0] : (! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X1))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))))),
% 59.09/9.96    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])])).
% 59.09/9.96  tff(f118044,plain,(
% 59.09/9.96    spl2737_3663),
% 59.09/9.96    inference(avatar_split_clause,[],[f92781,f118042])).
% 59.09/9.96  tff(f118042,plain,(
% 59.09/9.96    spl2737_3663 <=> ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK670(X1,X0))) | sP16(X1,X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3663])])).
% 59.09/9.96  tff(f92781,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK670(X1,X0))) | sP16(X1,X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f37114,f50171])).
% 59.09/9.96  tff(f37114,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (sP16(X1,X0) | pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK670(X1,X0)),X0))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f28271])).
% 59.09/9.96  tff(f118040,plain,(
% 59.09/9.96    spl2737_3662),
% 59.09/9.96    inference(avatar_split_clause,[],[f92778,f118038])).
% 59.09/9.96  tff(f118038,plain,(
% 59.09/9.96    spl2737_3662 <=> ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK657(X1,X0))) | ~sP9(X1,X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3662])])).
% 59.09/9.96  tff(f92778,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK657(X1,X0))) | ~sP9(X1,X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f37076,f50171])).
% 59.09/9.96  tff(f37076,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK657(X1,X0)),X0)) | ~sP9(X1,X0)) )),
% 59.09/9.96    inference(cnf_transformation,[],[f28239])).
% 59.09/9.96  tff(f28239,plain,(
% 59.09/9.96    ! [X0 : set(X1),X1 : $tType] : ((~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),sK656(X1,X0)),sK657(X1,X0))),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK657(X1,X0)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK656(X1,X0)),X0))) | ~sP9(X1,X0))),
% 59.09/9.96    inference(skolemisation,[status(esa),new_symbols(skolem,[sK656,sK657])],[f28237,f28238])).
% 59.09/9.96  tff(f28238,plain,(
% 59.09/9.96    ! [X1 : $tType,X0 : set(X1)] : (? [X2 : X1,X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X2),X0))) => (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),sK656(X1,X0)),sK657(X1,X0))),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK657(X1,X0)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK656(X1,X0)),X0))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f28237,plain,(
% 59.09/9.96    ! [X0 : set(X1),X1 : $tType] : (? [X2 : X1,X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X2),X0))) | ~sP9(X1,X0))),
% 59.09/9.96    inference(rectify,[],[f28236])).
% 59.09/9.96  tff(f28236,plain,(
% 59.09/9.96    ! [X1 : set(X0),X0 : $tType] : (? [X2 : X0,X3 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3)),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X1))) | ~sP9(X0,X1))),
% 59.09/9.96    inference(nnf_transformation,[],[f27105])).
% 59.09/9.96  tff(f27105,plain,(
% 59.09/9.96    ! [X1 : set(X0),X0 : $tType] : (? [X2 : X0,X3 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3)),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X1))) | ~sP9(X0,X1))),
% 59.09/9.96    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])])).
% 59.09/9.96  tff(f118036,plain,(
% 59.09/9.96    spl2737_3661),
% 59.09/9.96    inference(avatar_split_clause,[],[f92777,f118034])).
% 59.09/9.96  tff(f118034,plain,(
% 59.09/9.96    spl2737_3661 <=> ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK656(X1,X0))) | ~sP9(X1,X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3661])])).
% 59.09/9.96  tff(f92777,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),sK656(X1,X0))) | ~sP9(X1,X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f37075,f50171])).
% 59.09/9.96  tff(f37075,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK656(X1,X0)),X0)) | ~sP9(X1,X0)) )),
% 59.09/9.96    inference(cnf_transformation,[],[f28239])).
% 59.09/9.96  tff(f118032,plain,(
% 59.09/9.96    spl2737_3660),
% 59.09/9.96    inference(avatar_split_clause,[],[f92719,f118030])).
% 59.09/9.96  tff(f118030,plain,(
% 59.09/9.96    spl2737_3660 <=> ! [X0 : nat] : pp(aa(int,bool,combc(int,set(int),bool,member(int),semiring_1_Nats(int)),aa(nat,int,code_T6385005292777649522of_nat,X0)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3660])])).
% 59.09/9.96  tff(f92719,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(int,bool,combc(int,set(int),bool,member(int),semiring_1_Nats(int)),aa(nat,int,code_T6385005292777649522of_nat,X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54465,f50171])).
% 59.09/9.96  tff(f54465,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),aa(nat,int,code_T6385005292777649522of_nat,X0)),semiring_1_Nats(int)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54464,f35405])).
% 59.09/9.96  tff(f35405,plain,(
% 59.09/9.96    semiring_1_of_nat(int) = code_T6385005292777649522of_nat),
% 59.09/9.96    inference(cnf_transformation,[],[f4312])).
% 59.09/9.96  tff(f4312,axiom,(
% 59.09/9.96    semiring_1_of_nat(int) = code_T6385005292777649522of_nat),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4311_int__of__nat__def)).
% 59.09/9.96  tff(f54464,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),aa(nat,int,semiring_1_of_nat(int),X0)),semiring_1_Nats(int)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f36158,f35502])).
% 59.09/9.96  tff(f35502,plain,(
% 59.09/9.96    image(int,int,abs_abs(int),top_top(set(int))) = semiring_1_Nats(int)),
% 59.09/9.96    inference(cnf_transformation,[],[f5639])).
% 59.09/9.96  tff(f5639,axiom,(
% 59.09/9.96    image(int,int,abs_abs(int),top_top(set(int))) = semiring_1_Nats(int)),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5638_range__abs__Nats)).
% 59.09/9.96  tff(f36158,plain,(
% 59.09/9.96    ( ! [X0 : nat] : (pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),aa(nat,int,semiring_1_of_nat(int),X0)),image(int,int,abs_abs(int),top_top(set(int)))))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f10318])).
% 59.09/9.96  tff(f10318,plain,(
% 59.09/9.96    ! [X0 : nat] : pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),aa(nat,int,semiring_1_of_nat(int),X0)),image(int,int,abs_abs(int),top_top(set(int)))))),
% 59.09/9.96    inference(rectify,[],[f5677])).
% 59.09/9.96  tff(f5677,axiom,(
% 59.09/9.96    ! [X8 : nat] : pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),aa(nat,int,semiring_1_of_nat(int),X8)),image(int,int,abs_abs(int),top_top(set(int)))))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5676_int__in__range__abs)).
% 59.09/9.96  tff(f118028,plain,(
% 59.09/9.96    spl2737_3659),
% 59.09/9.96    inference(avatar_split_clause,[],[f92702,f118026])).
% 59.09/9.96  tff(f118026,plain,(
% 59.09/9.96    spl2737_3659 <=> ! [X0 : $tType,X1 : set(X0)] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),real_Vector_span(X0,X1)),zero_zero(X0))) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3659])])).
% 59.09/9.96  tff(f92702,plain,(
% 59.09/9.96    ( ! [X0 : $tType,X1 : set(X0)] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),real_Vector_span(X0,X1)),zero_zero(X0))) | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f37058,f50171])).
% 59.09/9.96  tff(f37058,plain,(
% 59.09/9.96    ( ! [X0 : $tType,X1 : set(X0)] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),real_Vector_span(X0,X1))) | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.96    inference(cnf_transformation,[],[f18905])).
% 59.09/9.96  tff(f18905,plain,(
% 59.09/9.96    ! [X0 : $tType] : (! [X1 : set(X0)] : pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),real_Vector_span(X0,X1))) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.96    inference(ennf_transformation,[],[f10926])).
% 59.09/9.96  tff(f10926,plain,(
% 59.09/9.96    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),real_Vector_span(X0,X1))))),
% 59.09/9.96    inference(rectify,[],[f7312])).
% 59.09/9.96  tff(f7312,axiom,(
% 59.09/9.96    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X119 : set(X0)] : pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),real_Vector_span(X0,X119))))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7311_span__0)).
% 59.09/9.96  tff(f118024,plain,(
% 59.09/9.96    spl2737_3658),
% 59.09/9.96    inference(avatar_split_clause,[],[f92553,f118022])).
% 59.09/9.96  tff(f118022,plain,(
% 59.09/9.96    spl2737_3658 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less(real),aa(real,real,arcsin,im(imaginary_unit))),sK1315(X0)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3658])])).
% 59.09/9.96  tff(f92553,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),aa(real,real,arcsin,im(imaginary_unit))),sK1315(X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f57475,f50171])).
% 59.09/9.96  tff(f57475,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1315(X0)),aa(real,real,arcsin,im(imaginary_unit))))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f57474,f54096])).
% 59.09/9.96  tff(f54096,plain,(
% 59.09/9.96    divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))) = aa(real,real,arcsin,im(imaginary_unit))),
% 59.09/9.96    inference(forward_demodulation,[],[f54095,f35393])).
% 59.09/9.96  tff(f35393,plain,(
% 59.09/9.96    one_one(real) = im(imaginary_unit)),
% 59.09/9.96    inference(cnf_transformation,[],[f4737])).
% 59.09/9.96  tff(f4737,axiom,(
% 59.09/9.96    one_one(real) = im(imaginary_unit)),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4736_imaginary__unit_Osimps_I2_J)).
% 59.09/9.96  tff(f54095,plain,(
% 59.09/9.96    aa(real,real,arcsin,one_one(real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)))),
% 59.09/9.96    inference(forward_demodulation,[],[f50526,f50511])).
% 59.09/9.96  tff(f50526,plain,(
% 59.09/9.96    aa(real,real,arcsin,one_one(real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))),
% 59.09/9.96    inference(definition_unfolding,[],[f35549,f50501])).
% 59.09/9.96  tff(f35549,plain,(
% 59.09/9.96    divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))) = aa(real,real,arcsin,one_one(real))),
% 59.09/9.96    inference(cnf_transformation,[],[f3082])).
% 59.09/9.96  tff(f3082,axiom,(
% 59.09/9.96    divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))) = aa(real,real,arcsin,one_one(real))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3081_arcsin__1)).
% 59.09/9.96  tff(f57474,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1315(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)))))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f51472,f50511])).
% 59.09/9.96  tff(f51472,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1315(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))))) )),
% 59.09/9.96    inference(definition_unfolding,[],[f43511,f50501])).
% 59.09/9.96  tff(f43511,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1315(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f30749])).
% 59.09/9.96  tff(f30749,plain,(
% 59.09/9.96    ! [X0 : real] : (! [X2 : real] : (sK1315(X0) = X2 | aa(real,real,tan(real),X2) != X0 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X2))) & aa(real,real,tan(real),sK1315(X0)) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1315(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),sK1315(X0))))),
% 59.09/9.96    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1315])],[f23742,f30748])).
% 59.09/9.96  tff(f30748,plain,(
% 59.09/9.96    ! [X0 : real] : (? [X1 : real] : (! [X2 : real] : (X1 = X2 | aa(real,real,tan(real),X2) != X0 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X2))) & aa(real,real,tan(real),X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1))) => (! [X2 : real] : (sK1315(X0) = X2 | aa(real,real,tan(real),X2) != X0 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X2))) & aa(real,real,tan(real),sK1315(X0)) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1315(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),sK1315(X0)))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f23742,plain,(
% 59.09/9.96    ! [X0 : real] : ? [X1 : real] : (! [X2 : real] : (X1 = X2 | aa(real,real,tan(real),X2) != X0 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X2))) & aa(real,real,tan(real),X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1)))),
% 59.09/9.96    inference(flattening,[],[f23741])).
% 59.09/9.96  tff(f23741,plain,(
% 59.09/9.96    ! [X0 : real] : ? [X1 : real] : (! [X2 : real] : (X1 = X2 | (aa(real,real,tan(real),X2) != X0 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X2)))) & aa(real,real,tan(real),X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1)))),
% 59.09/9.96    inference(ennf_transformation,[],[f14699])).
% 59.09/9.96  tff(f14699,plain,(
% 59.09/9.96    ! [X0 : real] : ? [X1 : real] : (! [X2 : real] : ((aa(real,real,tan(real),X2) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X2))) => X1 = X2) & aa(real,real,tan(real),X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1)))),
% 59.09/9.96    inference(rectify,[],[f3136])).
% 59.09/9.96  tff(f3136,axiom,(
% 59.09/9.96    ! [X15 : real] : ? [X20 : real] : (! [X37 : real] : ((aa(real,real,tan(real),X37) = X15 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X37),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X37))) => X20 = X37) & aa(real,real,tan(real),X20) = X15 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X20),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X20)))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3135_tan__total)).
% 59.09/9.96  tff(f118020,plain,(
% 59.09/9.96    spl2737_3657 | ~spl2737_984 | ~spl2737_3603),
% 59.09/9.96    inference(avatar_split_clause,[],[f116600,f116509,f68993,f118017])).
% 59.09/9.96  tff(f118017,plain,(
% 59.09/9.96    spl2737_3657 <=> vEBT_VEBT_minNull(vEBT_vebt_buildup(m))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3657])])).
% 59.09/9.96  tff(f68993,plain,(
% 59.09/9.96    spl2737_984 <=> vEBT_VEBT_minNull(vEBT_vebt_buildup(size_num(one2)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_984])])).
% 59.09/9.96  tff(f116509,plain,(
% 59.09/9.96    spl2737_3603 <=> m = size_num(one2)),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3603])])).
% 59.09/9.96  tff(f116600,plain,(
% 59.09/9.96    vEBT_VEBT_minNull(vEBT_vebt_buildup(m)) | (~spl2737_984 | ~spl2737_3603)),
% 59.09/9.96    inference(superposition,[],[f68995,f116511])).
% 59.09/9.96  tff(f116511,plain,(
% 59.09/9.96    m = size_num(one2) | ~spl2737_3603),
% 59.09/9.96    inference(avatar_component_clause,[],[f116509])).
% 59.09/9.96  tff(f68995,plain,(
% 59.09/9.96    vEBT_VEBT_minNull(vEBT_vebt_buildup(size_num(one2))) | ~spl2737_984),
% 59.09/9.96    inference(avatar_component_clause,[],[f68993])).
% 59.09/9.96  tff(f118015,plain,(
% 59.09/9.96    spl2737_3656),
% 59.09/9.96    inference(avatar_split_clause,[],[f92552,f118013])).
% 59.09/9.96  tff(f118013,plain,(
% 59.09/9.96    spl2737_3656 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less(real),aa(real,real,arcsin,im(imaginary_unit))),sK1314(X0)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3656])])).
% 59.09/9.96  tff(f92552,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),aa(real,real,arcsin,im(imaginary_unit))),sK1314(X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f57465,f50171])).
% 59.09/9.96  tff(f57465,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1314(X0)),aa(real,real,arcsin,im(imaginary_unit))))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f57464,f54096])).
% 59.09/9.96  tff(f57464,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1314(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)))))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f51469,f50511])).
% 59.09/9.96  tff(f51469,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1314(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))))) )),
% 59.09/9.96    inference(definition_unfolding,[],[f43508,f50501])).
% 59.09/9.96  tff(f43508,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1314(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f30747])).
% 59.09/9.96  tff(f30747,plain,(
% 59.09/9.96    ! [X0 : real] : (aa(real,real,tan(real),sK1314(X0)) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1314(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),sK1314(X0))))),
% 59.09/9.96    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1314])],[f14698,f30746])).
% 59.09/9.96  tff(f30746,plain,(
% 59.09/9.96    ! [X0 : real] : (? [X1 : real] : (aa(real,real,tan(real),X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1))) => (aa(real,real,tan(real),sK1314(X0)) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1314(X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),sK1314(X0)))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f14698,plain,(
% 59.09/9.96    ! [X0 : real] : ? [X1 : real] : (aa(real,real,tan(real),X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1)))),
% 59.09/9.96    inference(rectify,[],[f3140])).
% 59.09/9.96  tff(f3140,axiom,(
% 59.09/9.96    ! [X15 : real] : ? [X20 : real] : (aa(real,real,tan(real),X20) = X15 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X20),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X20)))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3139_lemma__tan__total1)).
% 59.09/9.96  tff(f118011,plain,(
% 59.09/9.96    spl2737_3655),
% 59.09/9.96    inference(avatar_split_clause,[],[f92494,f118009])).
% 59.09/9.96  tff(f118009,plain,(
% 59.09/9.96    spl2737_3655 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK1313(X0)),aa(real,real,uminus_uminus(real),pi)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3655])])).
% 59.09/9.96  tff(f92494,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK1313(X0)),aa(real,real,uminus_uminus(real),pi)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f43503,f50171])).
% 59.09/9.96  tff(f43503,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),sK1313(X0)))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f30745])).
% 59.09/9.96  tff(f30745,plain,(
% 59.09/9.96    ! [X0 : real] : (aa(real,real,cos(real),X0) = aa(real,real,cos(real),sK1313(X0)) & sin(real,X0) = sin(real,sK1313(X0)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sK1313(X0)),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),sK1313(X0))))),
% 59.09/9.96    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1313])],[f14697,f30744])).
% 59.09/9.96  tff(f30744,plain,(
% 59.09/9.96    ! [X0 : real] : (? [X1 : real] : (aa(real,real,cos(real),X0) = aa(real,real,cos(real),X1) & sin(real,X0) = sin(real,X1) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),X1))) => (aa(real,real,cos(real),X0) = aa(real,real,cos(real),sK1313(X0)) & sin(real,X0) = sin(real,sK1313(X0)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sK1313(X0)),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),sK1313(X0)))))),
% 59.09/9.96    introduced(choice_axiom,[])).
% 59.09/9.96  tff(f14697,plain,(
% 59.09/9.96    ! [X0 : real] : ? [X1 : real] : (aa(real,real,cos(real),X0) = aa(real,real,cos(real),X1) & sin(real,X0) = sin(real,X1) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),X1)))),
% 59.09/9.96    inference(rectify,[],[f2846])).
% 59.09/9.96  tff(f2846,axiom,(
% 59.09/9.96    ! [X14 : real] : ? [X21 : real] : (aa(real,real,cos(real),X14) = aa(real,real,cos(real),X21) & sin(real,X14) = sin(real,X21) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X21),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),X21)))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2845_sincos__principal__value)).
% 59.09/9.96  tff(f118007,plain,(
% 59.09/9.96    spl2737_3654),
% 59.09/9.96    inference(avatar_split_clause,[],[f92493,f118005])).
% 59.09/9.96  tff(f118005,plain,(
% 59.09/9.96    spl2737_3654 <=> ! [X0 : complex] : pp(aa(real,bool,combc(real,real,bool,ord_less(real),arg(X0)),aa(real,real,uminus_uminus(real),pi)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3654])])).
% 59.09/9.96  tff(f92493,plain,(
% 59.09/9.96    ( ! [X0 : complex] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),arg(X0)),aa(real,real,uminus_uminus(real),pi)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f36324,f50171])).
% 59.09/9.96  tff(f36324,plain,(
% 59.09/9.96    ( ! [X0 : complex] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X0)))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f10485])).
% 59.09/9.96  tff(f10485,plain,(
% 59.09/9.96    ! [X0 : complex] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X0)),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X0))))),
% 59.09/9.96    inference(rectify,[],[f3338])).
% 59.09/9.96  tff(f3338,axiom,(
% 59.09/9.96    ! [X60 : complex] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X60)),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X60))))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3337_Arg__bounded)).
% 59.09/9.96  tff(f118003,plain,(
% 59.09/9.96    spl2737_3653),
% 59.09/9.96    inference(avatar_split_clause,[],[f92464,f118001])).
% 59.09/9.96  tff(f118001,plain,(
% 59.09/9.96    spl2737_3653 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less(real),im(imaginary_unit)),aa(real,real,tanh(real),X0)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3653])])).
% 59.09/9.96  tff(f92464,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),im(imaginary_unit)),aa(real,real,tanh(real),X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54357,f50171])).
% 59.09/9.96  tff(f54357,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,tanh(real),X0)),im(imaginary_unit)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f36055,f35393])).
% 59.09/9.96  tff(f36055,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,tanh(real),X0)),one_one(real)))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f10216])).
% 59.09/9.96  tff(f10216,plain,(
% 59.09/9.96    ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,tanh(real),X0)),one_one(real)))),
% 59.09/9.96    inference(rectify,[],[f1872])).
% 59.09/9.96  tff(f1872,axiom,(
% 59.09/9.96    ! [X14 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,tanh(real),X14)),one_one(real)))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1871_tanh__real__lt__1)).
% 59.09/9.96  tff(f117999,plain,(
% 59.09/9.96    spl2737_3652),
% 59.09/9.96    inference(avatar_split_clause,[],[f92463,f117997])).
% 59.09/9.96  tff(f117997,plain,(
% 59.09/9.96    spl2737_3652 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),im(imaginary_unit)),aa(real,real,cos(real),X0)))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3652])])).
% 59.09/9.96  tff(f92463,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),im(imaginary_unit)),aa(real,real,cos(real),X0)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f54356,f50171])).
% 59.09/9.96  tff(f54356,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,cos(real),X0)),im(imaginary_unit)))) )),
% 59.09/9.96    inference(forward_demodulation,[],[f36054,f35393])).
% 59.09/9.96  tff(f36054,plain,(
% 59.09/9.96    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,cos(real),X0)),one_one(real)))) )),
% 59.09/9.96    inference(cnf_transformation,[],[f10215])).
% 59.09/9.96  tff(f10215,plain,(
% 59.09/9.96    ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,cos(real),X0)),one_one(real)))),
% 59.09/9.96    inference(rectify,[],[f2853])).
% 59.09/9.96  tff(f2853,axiom,(
% 59.09/9.96    ! [X14 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,cos(real),X14)),one_one(real)))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2852_cos__le__one)).
% 59.09/9.96  tff(f117995,plain,(
% 59.09/9.96    spl2737_3651 | ~spl2737_291 | ~spl2737_998 | ~spl2737_3029),
% 59.09/9.96    inference(avatar_split_clause,[],[f92459,f84055,f69366,f65674,f117992])).
% 59.09/9.96  tff(f117992,plain,(
% 59.09/9.96    spl2737_3651 <=> pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),neg_numeral_dbl_inc(real,im(imaginary_unit))),exp(real,im(imaginary_unit))))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3651])])).
% 59.09/9.96  tff(f65674,plain,(
% 59.09/9.96    spl2737_291 <=> neg_numeral(real)),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_291])])).
% 59.09/9.96  tff(f69366,plain,(
% 59.09/9.96    spl2737_998 <=> one_one(real) = im(imaginary_unit)),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_998])])).
% 59.09/9.96  tff(f84055,plain,(
% 59.09/9.96    spl2737_3029 <=> ! [X0 : $tType] : (neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)) | ~neg_numeral(X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3029])])).
% 59.09/9.96  tff(f92459,plain,(
% 59.09/9.96    pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),neg_numeral_dbl_inc(real,im(imaginary_unit))),exp(real,im(imaginary_unit)))) | (~spl2737_291 | ~spl2737_998 | ~spl2737_3029)),
% 59.09/9.96    inference(forward_demodulation,[],[f92458,f85948])).
% 59.09/9.96  tff(f85948,plain,(
% 59.09/9.96    aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)) = neg_numeral_dbl_inc(real,im(imaginary_unit)) | (~spl2737_291 | ~spl2737_998 | ~spl2737_3029)),
% 59.09/9.96    inference(forward_demodulation,[],[f85944,f69368])).
% 59.09/9.96  tff(f69368,plain,(
% 59.09/9.96    one_one(real) = im(imaginary_unit) | ~spl2737_998),
% 59.09/9.96    inference(avatar_component_clause,[],[f69366])).
% 59.09/9.96  tff(f85944,plain,(
% 59.09/9.96    aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2)) = neg_numeral_dbl_inc(real,one_one(real)) | (~spl2737_291 | ~spl2737_3029)),
% 59.09/9.96    inference(resolution,[],[f84056,f65676])).
% 59.09/9.96  tff(f65676,plain,(
% 59.09/9.96    neg_numeral(real) | ~spl2737_291),
% 59.09/9.96    inference(avatar_component_clause,[],[f65674])).
% 59.09/9.96  tff(f84056,plain,(
% 59.09/9.96    ( ! [X0 : $tType] : (~neg_numeral(X0) | neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2))) ) | ~spl2737_3029),
% 59.09/9.96    inference(avatar_component_clause,[],[f84055])).
% 59.09/9.96  tff(f92458,plain,(
% 59.09/9.96    pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))),exp(real,im(imaginary_unit))))),
% 59.09/9.96    inference(forward_demodulation,[],[f54149,f50171])).
% 59.09/9.96  tff(f54149,plain,(
% 59.09/9.96    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),exp(real,im(imaginary_unit))),aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 59.09/9.96    inference(forward_demodulation,[],[f35598,f35393])).
% 59.09/9.96  tff(f35598,plain,(
% 59.09/9.96    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),exp(real,one_one(real))),aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 59.09/9.96    inference(cnf_transformation,[],[f2597])).
% 59.09/9.96  tff(f2597,axiom,(
% 59.09/9.96    pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),exp(real,one_one(real))),aa(num,real,numeral_numeral(real),aa(num,num,bit1,one2))))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2596_exp__le)).
% 59.09/9.96  tff(f117980,plain,(
% 59.09/9.96    spl2737_3650 | ~spl2737_1161 | ~spl2737_3603 | ~spl2737_3649),
% 59.09/9.96    inference(avatar_split_clause,[],[f117976,f117973,f116509,f70068,f117978])).
% 59.09/9.96  tff(f117978,plain,(
% 59.09/9.96    spl2737_3650 <=> ! [X0 : $tType] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),sin_coeff(m)),real_V7770717601297561774m_norm(X0,zero_zero(X0)))) | ~real_V822414075346904944vector(X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3650])])).
% 59.09/9.96  tff(f70068,plain,(
% 59.09/9.96    spl2737_1161 <=> zero_zero(real) = sin_coeff(size_num(one2))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_1161])])).
% 59.09/9.96  tff(f117973,plain,(
% 59.09/9.96    spl2737_3649 <=> ! [X0 : $tType] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),zero_zero(real)),real_V7770717601297561774m_norm(X0,zero_zero(X0)))) | ~real_V822414075346904944vector(X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3649])])).
% 59.09/9.96  tff(f117976,plain,(
% 59.09/9.96    ( ! [X0 : $tType] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),sin_coeff(m)),real_V7770717601297561774m_norm(X0,zero_zero(X0)))) | ~real_V822414075346904944vector(X0)) ) | (~spl2737_1161 | ~spl2737_3603 | ~spl2737_3649)),
% 59.09/9.96    inference(forward_demodulation,[],[f117974,f116610])).
% 59.09/9.96  tff(f116610,plain,(
% 59.09/9.96    zero_zero(real) = sin_coeff(m) | (~spl2737_1161 | ~spl2737_3603)),
% 59.09/9.96    inference(superposition,[],[f70070,f116511])).
% 59.09/9.96  tff(f70070,plain,(
% 59.09/9.96    zero_zero(real) = sin_coeff(size_num(one2)) | ~spl2737_1161),
% 59.09/9.96    inference(avatar_component_clause,[],[f70068])).
% 59.09/9.96  tff(f117974,plain,(
% 59.09/9.96    ( ! [X0 : $tType] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),zero_zero(real)),real_V7770717601297561774m_norm(X0,zero_zero(X0)))) | ~real_V822414075346904944vector(X0)) ) | ~spl2737_3649),
% 59.09/9.96    inference(avatar_component_clause,[],[f117973])).
% 59.09/9.96  tff(f117975,plain,(
% 59.09/9.96    spl2737_3649),
% 59.09/9.96    inference(avatar_split_clause,[],[f92423,f117973])).
% 59.09/9.96  tff(f92423,plain,(
% 59.09/9.96    ( ! [X0 : $tType] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),zero_zero(real)),real_V7770717601297561774m_norm(X0,zero_zero(X0)))) | ~real_V822414075346904944vector(X0)) )),
% 59.09/9.96    inference(forward_demodulation,[],[f52633,f50171])).
% 59.09/9.96  tff(f52633,plain,(
% 59.09/9.96    ( ! [X0 : $tType] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,zero_zero(X0))),zero_zero(real))) | ~real_V822414075346904944vector(X0)) )),
% 59.09/9.96    inference(equality_resolution,[],[f38459])).
% 59.09/9.96  tff(f38459,plain,(
% 59.09/9.96    ( ! [X0 : $tType,X1 : X0] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,X1)),zero_zero(real))) | zero_zero(X0) != X1 | ~real_V822414075346904944vector(X0)) )),
% 59.09/9.96    inference(cnf_transformation,[],[f28803])).
% 59.09/9.96  tff(f28803,plain,(
% 59.09/9.96    ! [X0 : $tType] : (! [X1 : X0] : ((pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,X1)),zero_zero(real))) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,X1)),zero_zero(real))))) | ~real_V822414075346904944vector(X0))),
% 59.09/9.96    inference(nnf_transformation,[],[f19709])).
% 59.09/9.96  tff(f19709,plain,(
% 59.09/9.96    ! [X0 : $tType] : (! [X1 : X0] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,X1)),zero_zero(real))) <=> zero_zero(X0) = X1) | ~real_V822414075346904944vector(X0))),
% 59.09/9.96    inference(ennf_transformation,[],[f11579])).
% 59.09/9.96  tff(f11579,plain,(
% 59.09/9.96    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,X1)),zero_zero(real))) <=> zero_zero(X0) = X1))),
% 59.09/9.96    inference(rectify,[],[f2093])).
% 59.09/9.96  tff(f2093,axiom,(
% 59.09/9.96    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X14 : X0] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,X14)),zero_zero(real))) <=> zero_zero(X0) = X14))),
% 59.09/9.96    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2092_norm__le__zero__iff)).
% 59.09/9.96  tff(f117964,plain,(
% 59.09/9.96    spl2737_3648 | ~spl2737_983 | ~spl2737_3603),
% 59.09/9.96    inference(avatar_split_clause,[],[f116599,f116509,f68989,f117962])).
% 59.09/9.96  tff(f117962,plain,(
% 59.09/9.96    spl2737_3648 <=> ! [X0 : bool] : sP477(m,X0)),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3648])])).
% 59.09/9.96  tff(f68989,plain,(
% 59.09/9.96    spl2737_983 <=> ! [X1 : bool] : sP477(size_num(one2),X1)),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_983])])).
% 59.09/9.96  tff(f116599,plain,(
% 59.09/9.96    ( ! [X0 : bool] : (sP477(m,X0)) ) | (~spl2737_983 | ~spl2737_3603)),
% 59.09/9.96    inference(superposition,[],[f68990,f116511])).
% 59.09/9.96  tff(f68990,plain,(
% 59.09/9.96    ( ! [X1 : bool] : (sP477(size_num(one2),X1)) ) | ~spl2737_983),
% 59.09/9.96    inference(avatar_component_clause,[],[f68989])).
% 59.09/9.96  tff(f117960,plain,(
% 59.09/9.96    spl2737_3647 | ~spl2737_1161 | ~spl2737_3603 | ~spl2737_3646),
% 59.09/9.96    inference(avatar_split_clause,[],[f117956,f117953,f116509,f70068,f117958])).
% 59.09/9.96  tff(f117958,plain,(
% 59.09/9.96    spl2737_3647 <=> ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK726(X1,X0)),sin_coeff(m))) | sP103(X1,X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3647])])).
% 59.09/9.96  tff(f117953,plain,(
% 59.09/9.96    spl2737_3646 <=> ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK726(X1,X0)),zero_zero(real))) | sP103(X1,X0))),
% 59.09/9.96    introduced(avatar_definition,[new_symbols(naming,[spl2737_3646])])).
% 59.09/9.96  tff(f117956,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK726(X1,X0)),sin_coeff(m))) | sP103(X1,X0)) ) | (~spl2737_1161 | ~spl2737_3603 | ~spl2737_3646)),
% 59.09/9.96    inference(forward_demodulation,[],[f117954,f116610])).
% 59.09/9.96  tff(f117954,plain,(
% 59.09/9.96    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK726(X1,X0)),zero_zero(real))) | sP103(X1,X0)) ) | ~spl2737_3646),
% 59.09/9.97    inference(avatar_component_clause,[],[f117953])).
% 59.09/9.97  tff(f117955,plain,(
% 59.09/9.97    spl2737_3646),
% 59.09/9.97    inference(avatar_split_clause,[],[f92403,f117953])).
% 59.09/9.97  tff(f92403,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK726(X1,X0)),zero_zero(real))) | sP103(X1,X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f38427,f50171])).
% 59.09/9.97  tff(f38427,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (sP103(X1,X0) | pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),sK726(X1,X0)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28772])).
% 59.09/9.97  tff(f28772,plain,(
% 59.09/9.97    ! [X0 : fun(nat,X1),X1 : $tType] : ((sP103(X1,X0) | (! [X3 : nat] : ((~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,sK727(X1,X0,X3))),aa(nat,X1,X0,sK728(X1,X0,X3))))),sK726(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),sK728(X1,X0,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),sK727(X1,X0,X3)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),sK726(X1,X0))))) & (! [X6 : real] : (! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X8)),aa(nat,X1,X0,X9)))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK729(X1,X0,X6)),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK729(X1,X0,X6)),X8))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))) | ~sP103(X1,X0)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK726,sK727,sK728,sK729])],[f28767,f28771,f28770,f28769,f28768])).
% 59.09/9.97  tff(f28768,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : fun(nat,X1)] : (? [X2 : real] : (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X4)),aa(nat,X1,X0,X5)))),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))) => (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X4)),aa(nat,X1,X0,X5)))),sK726(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),sK726(X1,X0)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f28769,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : fun(nat,X1),X3 : nat] : (? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X4)),aa(nat,X1,X0,X5)))),sK726(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) => (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,sK727(X1,X0,X3))),aa(nat,X1,X0,X5)))),sK726(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),sK727(X1,X0,X3)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f28770,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : fun(nat,X1),X3 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,sK727(X1,X0,X3))),aa(nat,X1,X0,X5)))),sK726(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) => (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,sK727(X1,X0,X3))),aa(nat,X1,X0,sK728(X1,X0,X3))))),sK726(X1,X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),sK728(X1,X0,X3)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f28771,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : fun(nat,X1),X6 : real] : (? [X7 : nat] : ! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X8)),aa(nat,X1,X0,X9)))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8))) => ! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X8)),aa(nat,X1,X0,X9)))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK729(X1,X0,X6)),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK729(X1,X0,X6)),X8))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f28767,plain,(
% 59.09/9.97    ! [X0 : fun(nat,X1),X1 : $tType] : ((sP103(X1,X0) | ? [X2 : real] : (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X4)),aa(nat,X1,X0,X5)))),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)))) & (! [X6 : real] : (? [X7 : nat] : ! [X8 : nat] : (! [X9 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(nat,X1,X0,X8)),aa(nat,X1,X0,X9)))),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X9))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))) | ~sP103(X1,X0)))),
% 59.09/9.97    inference(rectify,[],[f28766])).
% 59.09/9.97  tff(f28766,plain,(
% 59.09/9.97    ! [X1 : fun(nat,X0),X0 : $tType] : ((sP103(X0,X1) | ? [X2 : real] : (! [X3 : nat] : ? [X4 : nat] : (? [X5 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)))) & (! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))) | ~sP103(X0,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27238])).
% 59.09/9.97  tff(f27238,plain,(
% 59.09/9.97    ! [X1 : fun(nat,X0),X0 : $tType] : (sP103(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])])).
% 59.09/9.97  tff(f117944,plain,(
% 59.09/9.97    spl2737_3645 | ~spl2737_1161 | ~spl2737_3603 | ~spl2737_3644),
% 59.09/9.97    inference(avatar_split_clause,[],[f117940,f117937,f116509,f70068,f117942])).
% 59.09/9.97  tff(f117942,plain,(
% 59.09/9.97    spl2737_3645 <=> ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK587(X1,X0)),sin_coeff(m))) | sP5(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3645])])).
% 59.09/9.97  tff(f117937,plain,(
% 59.09/9.97    spl2737_3644 <=> ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK587(X1,X0)),zero_zero(real))) | sP5(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3644])])).
% 59.09/9.97  tff(f117940,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK587(X1,X0)),sin_coeff(m))) | sP5(X1,X0)) ) | (~spl2737_1161 | ~spl2737_3603 | ~spl2737_3644)),
% 59.09/9.97    inference(forward_demodulation,[],[f117938,f116610])).
% 59.09/9.97  tff(f117938,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK587(X1,X0)),zero_zero(real))) | sP5(X1,X0)) ) | ~spl2737_3644),
% 59.09/9.97    inference(avatar_component_clause,[],[f117937])).
% 59.09/9.97  tff(f117939,plain,(
% 59.09/9.97    spl2737_3644),
% 59.09/9.97    inference(avatar_split_clause,[],[f92400,f117937])).
% 59.09/9.97  tff(f92400,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK587(X1,X0)),zero_zero(real))) | sP5(X1,X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36558,f50171])).
% 59.09/9.97  tff(f36558,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : fun(nat,X1)] : (sP5(X1,X0) | pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),sK587(X1,X0)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28015])).
% 59.09/9.97  tff(f117935,plain,(
% 59.09/9.97    spl2737_3643),
% 59.09/9.97    inference(avatar_split_clause,[],[f92209,f117933])).
% 59.09/9.97  tff(f117933,plain,(
% 59.09/9.97    spl2737_3643 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X2),X1)) | zero_zero(X0) = X1 | ~field(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3643])])).
% 59.09/9.97  tff(f92209,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X2),X1)) | zero_zero(X0) = X1 | ~field(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f38688,f50171])).
% 59.09/9.97  tff(f38688,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)) | zero_zero(X0) = X1 | ~field(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28869])).
% 59.09/9.97  tff(f28869,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)) | (zero_zero(X0) != X2 & zero_zero(X0) = X1)) & (zero_zero(X0) = X2 | zero_zero(X0) != X1 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)))) | ~field(X0))),
% 59.09/9.97    inference(flattening,[],[f28868])).
% 59.09/9.97  tff(f28868,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)) | (zero_zero(X0) != X2 & zero_zero(X0) = X1)) & ((zero_zero(X0) = X2 | zero_zero(X0) != X1) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)))) | ~field(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f19925])).
% 59.09/9.97  tff(f19925,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)) <=> (zero_zero(X0) = X2 | zero_zero(X0) != X1)) | ~field(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f11756])).
% 59.09/9.97  tff(f11756,plain,(
% 59.09/9.97    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)) <=> (zero_zero(X0) = X1 => zero_zero(X0) = X2)))),
% 59.09/9.97    inference(rectify,[],[f2803])).
% 59.09/9.97  tff(f2803,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (field(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X7),X49)) <=> (zero_zero(X0) = X7 => zero_zero(X0) = X49)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2802_dvd__field__iff)).
% 59.09/9.97  tff(f117931,plain,(
% 59.09/9.97    spl2737_3642),
% 59.09/9.97    inference(avatar_split_clause,[],[f91908,f117929])).
% 59.09/9.97  tff(f117929,plain,(
% 59.09/9.97    spl2737_3642 <=> ! [X2 : $tType,X4 : X2,X0 : X2,X3 : X2,X1 : X2] : (pp(aa(X2,bool,combc(X2,X2,bool,ord_less_eq(X2),X0),X1)) | ~sP215(X2,X0,X1,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3642])])).
% 59.09/9.97  tff(f91908,plain,(
% 59.09/9.97    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (pp(aa(X2,bool,combc(X2,X2,bool,ord_less_eq(X2),X0),X1)) | ~sP215(X2,X0,X1,X3,X4)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f42280,f50171])).
% 59.09/9.97  tff(f42280,plain,(
% 59.09/9.97    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),X0)) | ~sP215(X2,X0,X1,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f30051])).
% 59.09/9.97  tff(f30051,plain,(
% 59.09/9.97    ! [X0 : X2,X1 : X2,X2 : $tType,X3 : X2,X4 : X2] : ((sP215(X2,X0,X1,X3,X4) | ~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),X0)) | (((~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less(X2),X3),X0)) & ~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less(X2),X1),X4))) | ~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X3),X0)) | ~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),X4))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X4),X3)))) & ((pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),X0)) & (((pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less(X2),X3),X0)) | pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less(X2),X1),X4))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X3),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),X4))) | ~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X4),X3)))) | ~sP215(X2,X0,X1,X3,X4)))),
% 59.09/9.97    inference(rectify,[],[f30050])).
% 59.09/9.97  tff(f30050,plain,(
% 59.09/9.97    ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP215(X0,X4,X3,X2,X1) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) | (((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)))) & ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)))) | ~sP215(X0,X4,X3,X2,X1)))),
% 59.09/9.97    inference(flattening,[],[f30049])).
% 59.09/9.97  tff(f30049,plain,(
% 59.09/9.97    ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP215(X0,X4,X3,X2,X1) | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) | (((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))))) & ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)))) | ~sP215(X0,X4,X3,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27412])).
% 59.09/9.97  tff(f27412,plain,(
% 59.09/9.97    ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP215(X0,X4,X3,X2,X1) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP215])])).
% 59.09/9.97  tff(f117927,plain,(
% 59.09/9.97    spl2737_3641),
% 59.09/9.97    inference(avatar_split_clause,[],[f91366,f117925])).
% 59.09/9.97  tff(f117925,plain,(
% 59.09/9.97    spl2737_3641 <=> ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1441(X0,X1)),sK1439(X0,X1))) | ~sP255(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3641])])).
% 59.09/9.97  tff(f91366,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1441(X0,X1)),sK1439(X0,X1))) | ~sP255(X0,X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f44724,f50171])).
% 59.09/9.97  tff(f44724,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1439(X0,X1)),sK1441(X0,X1))) | ~sP255(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31069])).
% 59.09/9.97  tff(f31069,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK1438(X0,X1)),sK1439(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK1440(X0,X1)),sK1441(X0,X1)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1439(X0,X1)),sK1441(X0,X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1438(X0,X1)),sK1440(X0,X1)))) | ~sP255(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1438,sK1439,sK1440,sK1441])],[f31067,f31068])).
% 59.09/9.97  tff(f31068,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (? [X2 : X0,X3 : X0,X4 : X0,X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X2),X4))) => (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK1438(X0,X1)),sK1439(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK1440(X0,X1)),sK1441(X0,X1)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1439(X0,X1)),sK1441(X0,X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1438(X0,X1)),sK1440(X0,X1)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31067,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (? [X2 : X0,X3 : X0,X4 : X0,X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X2),X4))) | ~sP255(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f31066])).
% 59.09/9.97  tff(f31066,plain,(
% 59.09/9.97    ! [X0 : $tType,X2 : fun(X0,fun(X0,bool))] : (? [X6 : X0,X7 : X0,X8 : X0,X9 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X6),X7)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X8),X9))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X7),X9)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X6),X8))) | ~sP255(X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27475])).
% 59.09/9.97  tff(f27475,plain,(
% 59.09/9.97    ! [X0 : $tType,X2 : fun(X0,fun(X0,bool))] : (? [X6 : X0,X7 : X0,X8 : X0,X9 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X6),X7)),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X8),X9))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X7),X9)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X6),X8))) | ~sP255(X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP255])])).
% 59.09/9.97  tff(f117923,plain,(
% 59.09/9.97    spl2737_3640),
% 59.09/9.97    inference(avatar_split_clause,[],[f91365,f117921])).
% 59.09/9.97  tff(f117921,plain,(
% 59.09/9.97    spl2737_3640 <=> ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1440(X0,X1)),sK1438(X0,X1))) | ~sP255(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3640])])).
% 59.09/9.97  tff(f91365,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1440(X0,X1)),sK1438(X0,X1))) | ~sP255(X0,X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f44723,f50171])).
% 59.09/9.97  tff(f44723,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1438(X0,X1)),sK1440(X0,X1))) | ~sP255(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31069])).
% 59.09/9.97  tff(f117919,plain,(
% 59.09/9.97    spl2737_3639),
% 59.09/9.97    inference(avatar_split_clause,[],[f91364,f117917])).
% 59.09/9.97  tff(f117917,plain,(
% 59.09/9.97    spl2737_3639 <=> ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1410(X0,X1)),sK1408(X0,X1))) | ~sP250(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3639])])).
% 59.09/9.97  tff(f91364,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1410(X0,X1)),sK1408(X0,X1))) | ~sP250(X0,X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f44603,f50171])).
% 59.09/9.97  tff(f44603,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1408(X0,X1)),sK1410(X0,X1))) | ~sP250(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f30994])).
% 59.09/9.97  tff(f30994,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),sK1407(X0,X1)),sK1408(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),sK1409(X0,X1)),sK1410(X0,X1)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1408(X0,X1)),sK1410(X0,X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1407(X0,X1)),sK1409(X0,X1)))) | ~sP250(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1407,sK1408,sK1409,sK1410])],[f30992,f30993])).
% 59.09/9.97  tff(f30993,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (? [X2 : X0,X3 : X0,X4 : X0,X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X4),X5))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X2),X4))) => (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),sK1407(X0,X1)),sK1408(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),sK1409(X0,X1)),sK1410(X0,X1)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1408(X0,X1)),sK1410(X0,X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1407(X0,X1)),sK1409(X0,X1)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f30992,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (? [X2 : X0,X3 : X0,X4 : X0,X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X4),X5))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X2),X4))) | ~sP250(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f30991])).
% 59.09/9.97  tff(f30991,plain,(
% 59.09/9.97    ! [X0 : $tType,X2 : fun(X0,fun(X0,bool))] : (? [X6 : X0,X7 : X0,X8 : X0,X9 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X6),X7)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X8),X9))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X7),X9)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X6),X8))) | ~sP250(X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27466])).
% 59.09/9.97  tff(f27466,plain,(
% 59.09/9.97    ! [X0 : $tType,X2 : fun(X0,fun(X0,bool))] : (? [X6 : X0,X7 : X0,X8 : X0,X9 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X6),X7)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X8),X9))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X7),X9)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X6),X8))) | ~sP250(X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP250])])).
% 59.09/9.97  tff(f117915,plain,(
% 59.09/9.97    spl2737_3638 | ~spl2737_982 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116598,f116509,f68985,f117913])).
% 59.09/9.97  tff(f117913,plain,(
% 59.09/9.97    spl2737_3638 <=> ! [X0 : bool] : sP465(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3638])])).
% 59.09/9.97  tff(f68985,plain,(
% 59.09/9.97    spl2737_982 <=> ! [X1 : bool] : sP465(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_982])])).
% 59.09/9.97  tff(f116598,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (sP465(m,X0)) ) | (~spl2737_982 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68986,f116511])).
% 59.09/9.97  tff(f68986,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (sP465(size_num(one2),X1)) ) | ~spl2737_982),
% 59.09/9.97    inference(avatar_component_clause,[],[f68985])).
% 59.09/9.97  tff(f117911,plain,(
% 59.09/9.97    spl2737_3637),
% 59.09/9.97    inference(avatar_split_clause,[],[f91363,f117909])).
% 59.09/9.97  tff(f117909,plain,(
% 59.09/9.97    spl2737_3637 <=> ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1409(X0,X1)),sK1407(X0,X1))) | ~sP250(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3637])])).
% 59.09/9.97  tff(f91363,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,combc(X0,X0,bool,X1,sK1409(X0,X1)),sK1407(X0,X1))) | ~sP250(X0,X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f44602,f50171])).
% 59.09/9.97  tff(f44602,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK1407(X0,X1)),sK1409(X0,X1))) | ~sP250(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f30994])).
% 59.09/9.97  tff(f117907,plain,(
% 59.09/9.97    spl2737_3636 | ~spl2737_113 | ~spl2737_998 | ~spl2737_2328),
% 59.09/9.97    inference(avatar_split_clause,[],[f90316,f77589,f69366,f64784,f117905])).
% 59.09/9.97  tff(f117905,plain,(
% 59.09/9.97    spl2737_3636 <=> ! [X0 : $tType,X1 : real] : (aa(X0,X0,inverse_inverse(X0),real_Vector_of_real(X0,X1)) = real_Vector_of_real(X0,divide_divide(real,im(imaginary_unit),X1)) | ~real_V5047593784448816457lgebra(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3636])])).
% 59.09/9.97  tff(f64784,plain,(
% 59.09/9.97    spl2737_113 <=> division_ring(real)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_113])])).
% 59.09/9.97  tff(f77589,plain,(
% 59.09/9.97    spl2737_2328 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1) | ~division_ring(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2328])])).
% 59.09/9.97  tff(f90316,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : real] : (aa(X0,X0,inverse_inverse(X0),real_Vector_of_real(X0,X1)) = real_Vector_of_real(X0,divide_divide(real,im(imaginary_unit),X1)) | ~real_V5047593784448816457lgebra(X0)) ) | (~spl2737_113 | ~spl2737_998 | ~spl2737_2328)),
% 59.09/9.97    inference(forward_demodulation,[],[f36547,f78425])).
% 59.09/9.97  tff(f78425,plain,(
% 59.09/9.97    ( ! [X0 : real] : (aa(real,real,inverse_inverse(real),X0) = divide_divide(real,im(imaginary_unit),X0)) ) | (~spl2737_113 | ~spl2737_998 | ~spl2737_2328)),
% 59.09/9.97    inference(forward_demodulation,[],[f78424,f69368])).
% 59.09/9.97  tff(f78424,plain,(
% 59.09/9.97    ( ! [X0 : real] : (aa(real,real,inverse_inverse(real),X0) = divide_divide(real,one_one(real),X0)) ) | (~spl2737_113 | ~spl2737_2328)),
% 59.09/9.97    inference(resolution,[],[f77590,f64786])).
% 59.09/9.97  tff(f64786,plain,(
% 59.09/9.97    division_ring(real) | ~spl2737_113),
% 59.09/9.97    inference(avatar_component_clause,[],[f64784])).
% 59.09/9.97  tff(f77590,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (~division_ring(X0) | aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1)) ) | ~spl2737_2328),
% 59.09/9.97    inference(avatar_component_clause,[],[f77589])).
% 59.09/9.97  tff(f36547,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : real] : (real_Vector_of_real(X0,aa(real,real,inverse_inverse(real),X1)) = aa(X0,X0,inverse_inverse(X0),real_Vector_of_real(X0,X1)) | ~real_V5047593784448816457lgebra(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f18531])).
% 59.09/9.97  tff(f18531,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : real] : real_Vector_of_real(X0,aa(real,real,inverse_inverse(real),X1)) = aa(X0,X0,inverse_inverse(X0),real_Vector_of_real(X0,X1)) | ~real_V5047593784448816457lgebra(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f10607])).
% 59.09/9.97  tff(f10607,plain,(
% 59.09/9.97    ! [X0 : $tType] : (real_V5047593784448816457lgebra(X0) => ! [X1 : real] : real_Vector_of_real(X0,aa(real,real,inverse_inverse(real),X1)) = aa(X0,X0,inverse_inverse(X0),real_Vector_of_real(X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f2307])).
% 59.09/9.97  tff(f2307,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (real_V5047593784448816457lgebra(X0) => ! [X14 : real] : real_Vector_of_real(X0,aa(real,real,inverse_inverse(real),X14)) = aa(X0,X0,inverse_inverse(X0),real_Vector_of_real(X0,X14)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2306_of__real__inverse)).
% 59.09/9.97  tff(f117903,plain,(
% 59.09/9.97    spl2737_3635 | ~spl2737_111 | ~spl2737_2328),
% 59.09/9.97    inference(avatar_split_clause,[],[f90301,f77589,f64774,f117901])).
% 59.09/9.97  tff(f117901,plain,(
% 59.09/9.97    spl2737_3635 <=> ! [X0 : real] : rcis(im(imaginary_unit),aa(real,real,uminus_uminus(real),X0)) = divide_divide(complex,one_one(complex),rcis(im(imaginary_unit),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3635])])).
% 59.09/9.97  tff(f64774,plain,(
% 59.09/9.97    spl2737_111 <=> division_ring(complex)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_111])])).
% 59.09/9.97  tff(f90301,plain,(
% 59.09/9.97    ( ! [X0 : real] : (rcis(im(imaginary_unit),aa(real,real,uminus_uminus(real),X0)) = divide_divide(complex,one_one(complex),rcis(im(imaginary_unit),X0))) ) | (~spl2737_111 | ~spl2737_2328)),
% 59.09/9.97    inference(forward_demodulation,[],[f54285,f78422])).
% 59.09/9.97  tff(f78422,plain,(
% 59.09/9.97    ( ! [X0 : complex] : (aa(complex,complex,inverse_inverse(complex),X0) = divide_divide(complex,one_one(complex),X0)) ) | (~spl2737_111 | ~spl2737_2328)),
% 59.09/9.97    inference(resolution,[],[f77590,f64776])).
% 59.09/9.97  tff(f64776,plain,(
% 59.09/9.97    division_ring(complex) | ~spl2737_111),
% 59.09/9.97    inference(avatar_component_clause,[],[f64774])).
% 59.09/9.97  tff(f54285,plain,(
% 59.09/9.97    ( ! [X0 : real] : (rcis(im(imaginary_unit),aa(real,real,uminus_uminus(real),X0)) = aa(complex,complex,inverse_inverse(complex),rcis(im(imaginary_unit),X0))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f50608,f35393])).
% 59.09/9.97  tff(f50608,plain,(
% 59.09/9.97    ( ! [X0 : real] : (rcis(one_one(real),aa(real,real,uminus_uminus(real),X0)) = aa(complex,complex,inverse_inverse(complex),rcis(one_one(real),X0))) )),
% 59.09/9.97    inference(definition_unfolding,[],[f35930,f35787,f35787])).
% 59.09/9.97  tff(f35787,plain,(
% 59.09/9.97    ( ! [X0 : real] : (cis(X0) = rcis(one_one(real),X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f9957])).
% 59.09/9.97  tff(f9957,plain,(
% 59.09/9.97    ! [X0 : real] : cis(X0) = rcis(one_one(real),X0)),
% 59.09/9.97    inference(rectify,[],[f5217])).
% 59.09/9.97  tff(f5217,axiom,(
% 59.09/9.97    ! [X7 : real] : cis(X7) = rcis(one_one(real),X7)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5216_cis__rcis__eq)).
% 59.09/9.97  tff(f35930,plain,(
% 59.09/9.97    ( ! [X0 : real] : (cis(aa(real,real,uminus_uminus(real),X0)) = aa(complex,complex,inverse_inverse(complex),cis(X0))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10093])).
% 59.09/9.97  tff(f10093,plain,(
% 59.09/9.97    ! [X0 : real] : cis(aa(real,real,uminus_uminus(real),X0)) = aa(complex,complex,inverse_inverse(complex),cis(X0))),
% 59.09/9.97    inference(rectify,[],[f3255])).
% 59.09/9.97  tff(f3255,axiom,(
% 59.09/9.97    ! [X7 : real] : aa(complex,complex,inverse_inverse(complex),cis(X7)) = cis(aa(real,real,uminus_uminus(real),X7))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3254_cis__inverse)).
% 59.09/9.97  tff(f117899,plain,(
% 59.09/9.97    spl2737_3634 | ~spl2737_111 | ~spl2737_2074 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494),
% 59.09/9.97    inference(avatar_split_clause,[],[f90264,f79175,f78013,f77589,f75729,f64774,f117897])).
% 59.09/9.97  tff(f117897,plain,(
% 59.09/9.97    spl2737_3634 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,im(divide_divide(complex,one_one(complex),imaginary_unit)),X1) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3634])])).
% 59.09/9.97  tff(f75729,plain,(
% 59.09/9.97    spl2737_2074 <=> aa(complex,complex,uminus_uminus(complex),imaginary_unit) = aa(complex,complex,inverse_inverse(complex),imaginary_unit)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2074])])).
% 59.09/9.97  tff(f78013,plain,(
% 59.09/9.97    spl2737_2422 <=> aa(real,real,cos(real),pi) = aa(real,real,uminus_uminus(real),im(imaginary_unit))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2422])])).
% 59.09/9.97  tff(f79175,plain,(
% 59.09/9.97    spl2737_2494 <=> ! [X0 : complex] : aa(real,real,uminus_uminus(real),im(X0)) = im(aa(complex,complex,uminus_uminus(complex),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2494])])).
% 59.09/9.97  tff(f90264,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,im(divide_divide(complex,one_one(complex),imaginary_unit)),X1) | ~real_V4867850818363320053vector(X0)) ) | (~spl2737_111 | ~spl2737_2074 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494)),
% 59.09/9.97    inference(forward_demodulation,[],[f55055,f80441])).
% 59.09/9.97  tff(f80441,plain,(
% 59.09/9.97    aa(real,real,cos(real),pi) = im(divide_divide(complex,one_one(complex),imaginary_unit)) | (~spl2737_111 | ~spl2737_2074 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494)),
% 59.09/9.97    inference(forward_demodulation,[],[f80440,f78422])).
% 59.09/9.97  tff(f80440,plain,(
% 59.09/9.97    aa(real,real,cos(real),pi) = im(aa(complex,complex,inverse_inverse(complex),imaginary_unit)) | (~spl2737_2074 | ~spl2737_2422 | ~spl2737_2494)),
% 59.09/9.97    inference(forward_demodulation,[],[f80432,f75731])).
% 59.09/9.97  tff(f75731,plain,(
% 59.09/9.97    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = aa(complex,complex,inverse_inverse(complex),imaginary_unit) | ~spl2737_2074),
% 59.09/9.97    inference(avatar_component_clause,[],[f75729])).
% 59.09/9.97  tff(f80432,plain,(
% 59.09/9.97    aa(real,real,cos(real),pi) = im(aa(complex,complex,uminus_uminus(complex),imaginary_unit)) | (~spl2737_2422 | ~spl2737_2494)),
% 59.09/9.97    inference(superposition,[],[f79176,f78015])).
% 59.09/9.97  tff(f78015,plain,(
% 59.09/9.97    aa(real,real,cos(real),pi) = aa(real,real,uminus_uminus(real),im(imaginary_unit)) | ~spl2737_2422),
% 59.09/9.97    inference(avatar_component_clause,[],[f78013])).
% 59.09/9.97  tff(f79176,plain,(
% 59.09/9.97    ( ! [X0 : complex] : (aa(real,real,uminus_uminus(real),im(X0)) = im(aa(complex,complex,uminus_uminus(complex),X0))) ) | ~spl2737_2494),
% 59.09/9.97    inference(avatar_component_clause,[],[f79175])).
% 59.09/9.97  tff(f55055,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,cos(real),pi),X1) | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f55054,f54082])).
% 59.09/9.97  tff(f54082,plain,(
% 59.09/9.97    aa(real,real,cos(real),pi) = aa(real,real,uminus_uminus(real),im(imaginary_unit))),
% 59.09/9.97    inference(forward_demodulation,[],[f35518,f35393])).
% 59.09/9.97  tff(f35518,plain,(
% 59.09/9.97    aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,cos(real),pi)),
% 59.09/9.97    inference(cnf_transformation,[],[f2737])).
% 59.09/9.97  tff(f2737,axiom,(
% 59.09/9.97    aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,cos(real),pi)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2736_cos__pi)).
% 59.09/9.97  tff(f55054,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),im(imaginary_unit)),X1) | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f37057,f35393])).
% 59.09/9.97  tff(f37057,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X1) | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f18904])).
% 59.09/9.97  tff(f18904,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X1) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f10925])).
% 59.09/9.97  tff(f10925,plain,(
% 59.09/9.97    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),X1) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X1))),
% 59.09/9.97    inference(rectify,[],[f3948])).
% 59.09/9.97  tff(f3948,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X14 : X0] : aa(X0,X0,uminus_uminus(X0),X14) = real_V8093663219630862766scaleR(X0,aa(real,real,uminus_uminus(real),one_one(real)),X14))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3947_scaleR__minus1__left)).
% 59.09/9.97  tff(f117882,plain,(
% 59.09/9.97    spl2737_3633 | ~spl2737_981 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116597,f116509,f68981,f117880])).
% 59.09/9.97  tff(f117880,plain,(
% 59.09/9.97    spl2737_3633 <=> ! [X0 : bool] : ~sP451(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3633])])).
% 59.09/9.97  tff(f68981,plain,(
% 59.09/9.97    spl2737_981 <=> ! [X1 : bool] : ~sP451(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_981])])).
% 59.09/9.97  tff(f116597,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (~sP451(m,X0)) ) | (~spl2737_981 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68982,f116511])).
% 59.09/9.97  tff(f68982,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (~sP451(size_num(one2),X1)) ) | ~spl2737_981),
% 59.09/9.97    inference(avatar_component_clause,[],[f68981])).
% 59.09/9.97  tff(f117834,plain,(
% 59.09/9.97    spl2737_3632 | ~spl2737_980 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116596,f116509,f68977,f117832])).
% 59.09/9.97  tff(f117832,plain,(
% 59.09/9.97    spl2737_3632 <=> ! [X0 : bool] : sP442(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3632])])).
% 59.09/9.97  tff(f68977,plain,(
% 59.09/9.97    spl2737_980 <=> ! [X1 : bool] : sP442(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_980])])).
% 59.09/9.97  tff(f116596,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (sP442(m,X0)) ) | (~spl2737_980 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68978,f116511])).
% 59.09/9.97  tff(f68978,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (sP442(size_num(one2),X1)) ) | ~spl2737_980),
% 59.09/9.97    inference(avatar_component_clause,[],[f68977])).
% 59.09/9.97  tff(f117648,plain,(
% 59.09/9.97    spl2737_3631 | ~spl2737_979 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116595,f116509,f68973,f117646])).
% 59.09/9.97  tff(f117646,plain,(
% 59.09/9.97    spl2737_3631 <=> ! [X0 : bool] : ~sP414(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3631])])).
% 59.09/9.97  tff(f68973,plain,(
% 59.09/9.97    spl2737_979 <=> ! [X1 : bool] : ~sP414(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_979])])).
% 59.09/9.97  tff(f116595,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (~sP414(m,X0)) ) | (~spl2737_979 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68974,f116511])).
% 59.09/9.97  tff(f68974,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (~sP414(size_num(one2),X1)) ) | ~spl2737_979),
% 59.09/9.97    inference(avatar_component_clause,[],[f68973])).
% 59.09/9.97  tff(f117470,plain,(
% 59.09/9.97    spl2737_3630 | ~spl2737_978 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116594,f116509,f68969,f117468])).
% 59.09/9.97  tff(f117468,plain,(
% 59.09/9.97    spl2737_3630 <=> ! [X0 : bool] : sP408(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3630])])).
% 59.09/9.97  tff(f68969,plain,(
% 59.09/9.97    spl2737_978 <=> ! [X1 : bool] : sP408(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_978])])).
% 59.09/9.97  tff(f116594,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (sP408(m,X0)) ) | (~spl2737_978 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68970,f116511])).
% 59.09/9.97  tff(f68970,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (sP408(size_num(one2),X1)) ) | ~spl2737_978),
% 59.09/9.97    inference(avatar_component_clause,[],[f68969])).
% 59.09/9.97  tff(f117462,plain,(
% 59.09/9.97    spl2737_3629 | ~spl2737_3390),
% 59.09/9.97    inference(avatar_split_clause,[],[f88796,f88793,f117460])).
% 59.09/9.97  tff(f117460,plain,(
% 59.09/9.97    spl2737_3629 <=> ! [X0 : $tType,X1 : X0] : (set_ord_lessThan(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_atLeast(X0,X1))) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3629])])).
% 59.09/9.97  tff(f88793,plain,(
% 59.09/9.97    spl2737_3390 <=> ! [X0 : $tType,X1 : X0] : (set_ord_lessThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atLeast(X0,X1)) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3390])])).
% 59.09/9.97  tff(f88796,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_lessThan(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_atLeast(X0,X1))) | ~linorder(X0)) ) | ~spl2737_3390),
% 59.09/9.97    inference(forward_demodulation,[],[f88794,f43594])).
% 59.09/9.97  tff(f43594,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(X0)] : (aa(set(X0),set(X0),uminus_uminus(set(X0)),X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14777])).
% 59.09/9.97  tff(f14777,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : set(X0)] : aa(set(X0),set(X0),uminus_uminus(set(X0)),X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),X1))),
% 59.09/9.97    inference(rectify,[],[f3523])).
% 59.09/9.97  tff(f3523,axiom,(
% 59.09/9.97    ! [X0 : $tType,X30 : set(X0)] : aa(set(X0),set(X0),uminus_uminus(set(X0)),X30) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),X30))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3522_Compl__eq)).
% 59.09/9.97  tff(f88794,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_lessThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atLeast(X0,X1)) | ~linorder(X0)) ) | ~spl2737_3390),
% 59.09/9.97    inference(avatar_component_clause,[],[f88793])).
% 59.09/9.97  tff(f117458,plain,(
% 59.09/9.97    spl2737_3628 | ~spl2737_3389),
% 59.09/9.97    inference(avatar_split_clause,[],[f88791,f88788,f117456])).
% 59.09/9.97  tff(f117456,plain,(
% 59.09/9.97    spl2737_3628 <=> ! [X0 : $tType,X1 : X0] : (set_ord_atMost(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_greaterThan(X0,X1))) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3628])])).
% 59.09/9.97  tff(f88788,plain,(
% 59.09/9.97    spl2737_3389 <=> ! [X0 : $tType,X1 : X0] : (set_ord_atMost(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_greaterThan(X0,X1)) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3389])])).
% 59.09/9.97  tff(f88791,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_atMost(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_greaterThan(X0,X1))) | ~linorder(X0)) ) | ~spl2737_3389),
% 59.09/9.97    inference(forward_demodulation,[],[f88789,f43594])).
% 59.09/9.97  tff(f88789,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_atMost(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_greaterThan(X0,X1)) | ~linorder(X0)) ) | ~spl2737_3389),
% 59.09/9.97    inference(avatar_component_clause,[],[f88788])).
% 59.09/9.97  tff(f117454,plain,(
% 59.09/9.97    spl2737_3627 | ~spl2737_3388),
% 59.09/9.97    inference(avatar_split_clause,[],[f88786,f88783,f117452])).
% 59.09/9.97  tff(f117452,plain,(
% 59.09/9.97    spl2737_3627 <=> ! [X0 : $tType,X1 : X0] : (set_ord_greaterThan(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_atMost(X0,X1))) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3627])])).
% 59.09/9.97  tff(f88783,plain,(
% 59.09/9.97    spl2737_3388 <=> ! [X0 : $tType,X1 : X0] : (set_ord_greaterThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atMost(X0,X1)) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3388])])).
% 59.09/9.97  tff(f88786,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_greaterThan(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_atMost(X0,X1))) | ~linorder(X0)) ) | ~spl2737_3388),
% 59.09/9.97    inference(forward_demodulation,[],[f88784,f43594])).
% 59.09/9.97  tff(f88784,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_greaterThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atMost(X0,X1)) | ~linorder(X0)) ) | ~spl2737_3388),
% 59.09/9.97    inference(avatar_component_clause,[],[f88783])).
% 59.09/9.97  tff(f117450,plain,(
% 59.09/9.97    spl2737_3626 | ~spl2737_3387),
% 59.09/9.97    inference(avatar_split_clause,[],[f88781,f88778,f117448])).
% 59.09/9.97  tff(f117448,plain,(
% 59.09/9.97    spl2737_3626 <=> ! [X0 : $tType,X1 : X0] : (set_ord_atLeast(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_lessThan(X0,X1))) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3626])])).
% 59.09/9.97  tff(f88778,plain,(
% 59.09/9.97    spl2737_3387 <=> ! [X0 : $tType,X1 : X0] : (set_ord_atLeast(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_lessThan(X0,X1)) | ~linorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3387])])).
% 59.09/9.97  tff(f88781,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_atLeast(X0,X1) = collect(X0,aTP_Lamp_ad(set(X0),fun(X0,bool),set_ord_lessThan(X0,X1))) | ~linorder(X0)) ) | ~spl2737_3387),
% 59.09/9.97    inference(forward_demodulation,[],[f88779,f43594])).
% 59.09/9.97  tff(f88779,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (set_ord_atLeast(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_lessThan(X0,X1)) | ~linorder(X0)) ) | ~spl2737_3387),
% 59.09/9.97    inference(avatar_component_clause,[],[f88778])).
% 59.09/9.97  tff(f117417,plain,(
% 59.09/9.97    spl2737_3625 | ~spl2737_977 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116593,f116509,f68965,f117415])).
% 59.09/9.97  tff(f117415,plain,(
% 59.09/9.97    spl2737_3625 <=> ! [X0 : bool] : ~sP301(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3625])])).
% 59.09/9.97  tff(f68965,plain,(
% 59.09/9.97    spl2737_977 <=> ! [X1 : bool] : ~sP301(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_977])])).
% 59.09/9.97  tff(f116593,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (~sP301(m,X0)) ) | (~spl2737_977 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68966,f116511])).
% 59.09/9.97  tff(f68966,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (~sP301(size_num(one2),X1)) ) | ~spl2737_977),
% 59.09/9.97    inference(avatar_component_clause,[],[f68965])).
% 59.09/9.97  tff(f116982,plain,(
% 59.09/9.97    spl2737_3624 | ~spl2737_976 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116592,f116509,f68961,f116980])).
% 59.09/9.97  tff(f116980,plain,(
% 59.09/9.97    spl2737_3624 <=> ! [X0 : bool] : ~sP296(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3624])])).
% 59.09/9.97  tff(f68961,plain,(
% 59.09/9.97    spl2737_976 <=> ! [X1 : bool] : ~sP296(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_976])])).
% 59.09/9.97  tff(f116592,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (~sP296(m,X0)) ) | (~spl2737_976 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68962,f116511])).
% 59.09/9.97  tff(f68962,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (~sP296(size_num(one2),X1)) ) | ~spl2737_976),
% 59.09/9.97    inference(avatar_component_clause,[],[f68961])).
% 59.09/9.97  tff(f116895,plain,(
% 59.09/9.97    spl2737_3623 | ~spl2737_975 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116591,f116509,f68957,f116893])).
% 59.09/9.97  tff(f116893,plain,(
% 59.09/9.97    spl2737_3623 <=> ! [X0 : bool] : ~sP262(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3623])])).
% 59.09/9.97  tff(f68957,plain,(
% 59.09/9.97    spl2737_975 <=> ! [X1 : bool] : ~sP262(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_975])])).
% 59.09/9.97  tff(f116591,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (~sP262(m,X0)) ) | (~spl2737_975 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68958,f116511])).
% 59.09/9.97  tff(f68958,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (~sP262(size_num(one2),X1)) ) | ~spl2737_975),
% 59.09/9.97    inference(avatar_component_clause,[],[f68957])).
% 59.09/9.97  tff(f116826,plain,(
% 59.09/9.97    spl2737_3622 | ~spl2737_974 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116590,f116509,f68953,f116824])).
% 59.09/9.97  tff(f116824,plain,(
% 59.09/9.97    spl2737_3622 <=> ! [X0 : bool] : ~sP259(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3622])])).
% 59.09/9.97  tff(f68953,plain,(
% 59.09/9.97    spl2737_974 <=> ! [X1 : bool] : ~sP259(size_num(one2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_974])])).
% 59.09/9.97  tff(f116590,plain,(
% 59.09/9.97    ( ! [X0 : bool] : (~sP259(m,X0)) ) | (~spl2737_974 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68954,f116511])).
% 59.09/9.97  tff(f68954,plain,(
% 59.09/9.97    ( ! [X1 : bool] : (~sP259(size_num(one2),X1)) ) | ~spl2737_974),
% 59.09/9.97    inference(avatar_component_clause,[],[f68953])).
% 59.09/9.97  tff(f116772,plain,(
% 59.09/9.97    spl2737_3621),
% 59.09/9.97    inference(avatar_split_clause,[],[f64003,f116770])).
% 59.09/9.97  tff(f116770,plain,(
% 59.09/9.97    spl2737_3621 <=> ! [X0 : $tType,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool)),X6 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X6),X6) = X6 | ~semila1105856199041335345_order(X0,X1,X6,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3621])])).
% 59.09/9.97  tff(f64003,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X6 : X0,X4 : fun(X0,fun(X0,bool))] : (aa(X0,X0,combc(X0,X0,X0,X1,X6),X6) = X6 | ~semila1105856199041335345_order(X0,X1,X6,X3,X4)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53940,f50171])).
% 59.09/9.97  tff(f53940,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X6 : X0,X4 : fun(X0,fun(X0,bool))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X6),X6) = X6 | ~semila1105856199041335345_order(X0,X1,X6,X3,X4)) )),
% 59.09/9.97    inference(equality_resolution,[],[f53939])).
% 59.09/9.97  tff(f53939,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X6 : X0,X4 : fun(X0,fun(X0,bool)),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) = X6 | X5 != X6 | ~semila1105856199041335345_order(X0,X1,X6,X3,X4)) )),
% 59.09/9.97    inference(equality_resolution,[],[f50413])).
% 59.09/9.97  tff(f50413,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X6 : X0,X4 : fun(X0,fun(X0,bool)),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) = X2 | X2 != X6 | X2 != X5 | ~semila1105856199041335345_order(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34475])).
% 59.09/9.97  tff(f34475,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool)),X5 : X0,X6 : X0] : (((aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) = X2 | X2 != X6 | X2 != X5) & ((X2 = X6 & X2 = X5) | aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) != X2)) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4))),
% 59.09/9.97    inference(flattening,[],[f34474])).
% 59.09/9.97  tff(f34474,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool)),X5 : X0,X6 : X0] : (((aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) = X2 | (X2 != X6 | X2 != X5)) & ((X2 = X6 & X2 = X5) | aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) != X2)) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4))),
% 59.09/9.97    inference(nnf_transformation,[],[f27054])).
% 59.09/9.97  tff(f27054,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool)),X5 : X0,X6 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) = X2 <=> (X2 = X6 & X2 = X5)) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4))),
% 59.09/9.97    inference(ennf_transformation,[],[f18321])).
% 59.09/9.97  tff(f18321,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool)),X5 : X0,X6 : X0] : (semila1105856199041335345_order(X0,X1,X2,X3,X4) => (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X6) = X2 <=> (X2 = X6 & X2 = X5)))),
% 59.09/9.97    inference(rectify,[],[f4628])).
% 59.09/9.97  tff(f4628,axiom,(
% 59.09/9.97    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X235 : fun(X0,fun(X0,bool)),X236 : fun(X0,fun(X0,bool)),X7 : X0,X49 : X0] : (semila1105856199041335345_order(X0,X32,X60,X235,X236) => (aa(X0,X0,aa(X0,fun(X0,X0),X32,X7),X49) = X60 <=> (X49 = X60 & X7 = X60)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4627_semilattice__neutr__order_Oneutr__eq__iff)).
% 59.09/9.97  tff(f116768,plain,(
% 59.09/9.97    spl2737_3620 | ~spl2737_973 | ~spl2737_3603),
% 59.09/9.97    inference(avatar_split_clause,[],[f116589,f116509,f68949,f116766])).
% 59.09/9.97  tff(f68949,plain,(
% 59.09/9.97    spl2737_973 <=> ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,size_num(one2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_973])])).
% 59.09/9.97  tff(f116589,plain,(
% 59.09/9.97    ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,m)) ) | (~spl2737_973 | ~spl2737_3603)),
% 59.09/9.97    inference(superposition,[],[f68950,f116511])).
% 59.09/9.97  tff(f68950,plain,(
% 59.09/9.97    ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,size_num(one2))) ) | ~spl2737_973),
% 59.09/9.97    inference(avatar_component_clause,[],[f68949])).
% 59.09/9.97  tff(f116764,plain,(
% 59.09/9.97    spl2737_3619),
% 59.09/9.97    inference(avatar_split_clause,[],[f63881,f116762])).
% 59.09/9.97  tff(f116762,plain,(
% 59.09/9.97    spl2737_3619 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X3 : nat,X2 : nat,X1 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X4),X2)) | ~sP552(X0,X1,X2,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3619])])).
% 59.09/9.97  tff(f63881,plain,(
% 59.09/9.97    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X4),X2)) | ~sP552(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f50345,f50171])).
% 59.09/9.97  tff(f50345,plain,(
% 59.09/9.97    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X4)) | ~sP552(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34457])).
% 59.09/9.97  tff(f34457,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((sP552(X0,X1,X2,X3,X4) | ((((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) | (~pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X4))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X4))) & ((((((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) & (pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X1)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X4))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X4))) | ~sP552(X0,X1,X2,X3,X4)))),
% 59.09/9.97    inference(rectify,[],[f34456])).
% 59.09/9.97  tff(f34456,plain,(
% 59.09/9.97    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : ((sP552(X3,X2,X5,X1,X0) | ((((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) | (~pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) & ((((((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) & (pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) | ~sP552(X3,X2,X5,X1,X0)))),
% 59.09/9.97    inference(flattening,[],[f34455])).
% 59.09/9.97  tff(f34455,plain,(
% 59.09/9.97    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : ((sP552(X3,X2,X5,X1,X0) | (((((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) | (~pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0)))) & ((((((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) & (pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) | ~sP552(X3,X2,X5,X1,X0)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27925])).
% 59.09/9.97  tff(f27925,plain,(
% 59.09/9.97    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : (sP552(X3,X2,X5,X1,X0) <=> (((((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) & (pp(aa(nat,bool,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X0))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP552])])).
% 59.09/9.97  tff(f116760,plain,(
% 59.09/9.97    spl2737_3618),
% 59.09/9.97    inference(avatar_split_clause,[],[f63602,f116758])).
% 59.09/9.97  tff(f116758,plain,(
% 59.09/9.97    spl2737_3618 <=> ! [X0 : $tType,X2 : X0,X3 : X0,X4 : fun(X0,X0),X5 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X3),X5) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3618])])).
% 59.09/9.97  tff(f63602,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0),X5 : X0] : (aa(X0,X0,combc(X0,X0,X0,X1,X3),X5) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f50249,f50171])).
% 59.09/9.97  tff(f50249,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X3) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f26939])).
% 59.09/9.97  tff(f26939,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X3) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.09/9.97    inference(ennf_transformation,[],[f18241])).
% 59.09/9.97  tff(f18241,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0),X5 : X0] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) => aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X3) = X3)),
% 59.09/9.97    inference(rectify,[],[f7702])).
% 59.09/9.97  tff(f7702,axiom,(
% 59.09/9.97    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X327 : X0,X328 : X0,X329 : fun(X0,X0),X7 : X0] : (bounde8507323023520639062attice(X0,X32,X327,X328,X329) => aa(X0,X0,aa(X0,fun(X0,X0),X32,X7),X328) = X328)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7701_bounded__quasi__semilattice_Obottom__right__bottom)).
% 59.09/9.97  tff(f116756,plain,(
% 59.09/9.97    spl2737_3617),
% 59.09/9.97    inference(avatar_split_clause,[],[f63601,f116754])).
% 59.09/9.97  tff(f116754,plain,(
% 59.09/9.97    spl2737_3617 <=> ! [X0 : $tType,X2 : X0,X3 : X0,X4 : fun(X0,X0),X5 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X5),X3) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3617])])).
% 59.09/9.97  tff(f63601,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0),X5 : X0] : (aa(X0,X0,combc(X0,X0,X0,X1,X5),X3) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f50248,f50171])).
% 59.09/9.97  tff(f50248,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X5) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f26938])).
% 59.09/9.97  tff(f26938,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X5) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.09/9.97    inference(ennf_transformation,[],[f18240])).
% 59.09/9.97  tff(f18240,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0),X5 : X0] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) => aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X5) = X3)),
% 59.09/9.97    inference(rectify,[],[f7704])).
% 59.09/9.97  tff(f7704,axiom,(
% 59.09/9.97    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X327 : X0,X328 : X0,X329 : fun(X0,X0),X7 : X0] : (bounde8507323023520639062attice(X0,X32,X327,X328,X329) => aa(X0,X0,aa(X0,fun(X0,X0),X32,X328),X7) = X328)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7703_bounded__quasi__semilattice_Obottom__left__bottom)).
% 59.09/9.97  tff(f116752,plain,(
% 59.09/9.97    spl2737_3616),
% 59.09/9.97    inference(avatar_split_clause,[],[f60302,f116750])).
% 59.09/9.97  tff(f116750,plain,(
% 59.09/9.97    spl2737_3616 <=> ! [X0 : int,X1 : nat] : (~algebr8660921524188924756oprime(nat,aa(int,nat,aTP_Lamp_ml(int,nat),X0),X1) | algebr8660921524188924756oprime(int,X0,aa(nat,int,code_T6385005292777649522of_nat,X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3616])])).
% 59.09/9.97  tff(f60302,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : nat] : (~algebr8660921524188924756oprime(nat,aa(int,nat,aTP_Lamp_ml(int,nat),X0),X1) | algebr8660921524188924756oprime(int,X0,aa(nat,int,code_T6385005292777649522of_nat,X1))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60301,f36023])).
% 59.09/9.97  tff(f36023,plain,(
% 59.09/9.97    ( ! [X0 : int] : (aa(int,nat,aTP_Lamp_ml(int,nat),X0) = aa(int,nat,nat2,aa(int,int,abs_abs(int),X0))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10183])).
% 59.09/9.97  tff(f10183,plain,(
% 59.09/9.97    ! [X0 : int] : aa(int,nat,aTP_Lamp_ml(int,nat),X0) = aa(int,nat,nat2,aa(int,int,abs_abs(int),X0))),
% 59.09/9.97    inference(rectify,[],[f8160])).
% 59.09/9.97  tff(f8160,axiom,(
% 59.09/9.97    ! [X94 : int] : aa(int,nat,aTP_Lamp_ml(int,nat),X94) = aa(int,nat,nat2,aa(int,int,abs_abs(int),X94))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8159_ATP_Olambda__44)).
% 59.09/9.97  tff(f60301,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : nat] : (algebr8660921524188924756oprime(int,X0,aa(nat,int,code_T6385005292777649522of_nat,X1)) | ~algebr8660921524188924756oprime(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f46598,f35405])).
% 59.09/9.97  tff(f46598,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : nat] : (algebr8660921524188924756oprime(int,X0,aa(nat,int,semiring_1_of_nat(int),X1)) | ~algebr8660921524188924756oprime(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32186])).
% 59.09/9.97  tff(f32186,plain,(
% 59.09/9.97    ! [X0 : int,X1 : nat] : ((algebr8660921524188924756oprime(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),X1) | ~algebr8660921524188924756oprime(int,X0,aa(nat,int,semiring_1_of_nat(int),X1))) & (algebr8660921524188924756oprime(int,X0,aa(nat,int,semiring_1_of_nat(int),X1)) | ~algebr8660921524188924756oprime(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f16558])).
% 59.09/9.97  tff(f16558,plain,(
% 59.09/9.97    ! [X0 : int,X1 : nat] : (algebr8660921524188924756oprime(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),X1) <=> algebr8660921524188924756oprime(int,X0,aa(nat,int,semiring_1_of_nat(int),X1)))),
% 59.09/9.97    inference(rectify,[],[f6854])).
% 59.09/9.97  tff(f6854,axiom,(
% 59.09/9.97    ! [X18 : int,X8 : nat] : (algebr8660921524188924756oprime(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X18)),X8) <=> algebr8660921524188924756oprime(int,X18,aa(nat,int,semiring_1_of_nat(int),X8)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6853_coprime__nat__abs__left__iff)).
% 59.09/9.97  tff(f116748,plain,(
% 59.09/9.97    spl2737_3615),
% 59.09/9.97    inference(avatar_split_clause,[],[f60300,f116746])).
% 59.09/9.97  tff(f116746,plain,(
% 59.09/9.97    spl2737_3615 <=> ! [X0 : int,X1 : nat] : (~algebr8660921524188924756oprime(int,X0,aa(nat,int,code_T6385005292777649522of_nat,X1)) | algebr8660921524188924756oprime(nat,aa(int,nat,aTP_Lamp_ml(int,nat),X0),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3615])])).
% 59.09/9.97  tff(f60300,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : nat] : (~algebr8660921524188924756oprime(int,X0,aa(nat,int,code_T6385005292777649522of_nat,X1)) | algebr8660921524188924756oprime(nat,aa(int,nat,aTP_Lamp_ml(int,nat),X0),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60299,f35405])).
% 59.09/9.97  tff(f60299,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : nat] : (algebr8660921524188924756oprime(nat,aa(int,nat,aTP_Lamp_ml(int,nat),X0),X1) | ~algebr8660921524188924756oprime(int,X0,aa(nat,int,semiring_1_of_nat(int),X1))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f46599,f36023])).
% 59.09/9.97  tff(f46599,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : nat] : (algebr8660921524188924756oprime(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)),X1) | ~algebr8660921524188924756oprime(int,X0,aa(nat,int,semiring_1_of_nat(int),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32186])).
% 59.09/9.97  tff(f116744,plain,(
% 59.09/9.97    spl2737_3614),
% 59.09/9.97    inference(avatar_split_clause,[],[f60298,f116742])).
% 59.09/9.97  tff(f116742,plain,(
% 59.09/9.97    spl2737_3614 <=> ! [X0 : nat,X1 : int] : (~algebr8660921524188924756oprime(nat,X0,aa(int,nat,aTP_Lamp_ml(int,nat),X1)) | algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3614])])).
% 59.09/9.97  tff(f60298,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (~algebr8660921524188924756oprime(nat,X0,aa(int,nat,aTP_Lamp_ml(int,nat),X1)) | algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60297,f36023])).
% 59.09/9.97  tff(f60297,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),X1) | ~algebr8660921524188924756oprime(nat,X0,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f46596,f35405])).
% 59.09/9.97  tff(f46596,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),X1) | ~algebr8660921524188924756oprime(nat,X0,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32185])).
% 59.09/9.97  tff(f32185,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : ((algebr8660921524188924756oprime(nat,X0,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1))) | ~algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),X1)) & (algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),X1) | ~algebr8660921524188924756oprime(nat,X0,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)))))),
% 59.09/9.97    inference(nnf_transformation,[],[f16557])).
% 59.09/9.97  tff(f16557,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : (algebr8660921524188924756oprime(nat,X0,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1))) <=> algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),X1))),
% 59.09/9.97    inference(rectify,[],[f6855])).
% 59.09/9.97  tff(f6855,axiom,(
% 59.09/9.97    ! [X8 : nat,X18 : int] : (algebr8660921524188924756oprime(nat,X8,aa(int,nat,nat2,aa(int,int,abs_abs(int),X18))) <=> algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X8),X18))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6854_coprime__nat__abs__right__iff)).
% 59.09/9.97  tff(f116740,plain,(
% 59.09/9.97    spl2737_3613),
% 59.09/9.97    inference(avatar_split_clause,[],[f60296,f116738])).
% 59.09/9.97  tff(f116738,plain,(
% 59.09/9.97    spl2737_3613 <=> ! [X0 : nat,X1 : int] : (~algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),X1) | algebr8660921524188924756oprime(nat,X0,aa(int,nat,aTP_Lamp_ml(int,nat),X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3613])])).
% 59.09/9.97  tff(f60296,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (~algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),X1) | algebr8660921524188924756oprime(nat,X0,aa(int,nat,aTP_Lamp_ml(int,nat),X1))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60295,f35405])).
% 59.09/9.97  tff(f60295,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (algebr8660921524188924756oprime(nat,X0,aa(int,nat,aTP_Lamp_ml(int,nat),X1)) | ~algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f46597,f36023])).
% 59.09/9.97  tff(f46597,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (algebr8660921524188924756oprime(nat,X0,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1))) | ~algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32185])).
% 59.09/9.97  tff(f116736,plain,(
% 59.09/9.97    spl2737_3612),
% 59.09/9.97    inference(avatar_split_clause,[],[f60265,f116734])).
% 59.09/9.97  tff(f116734,plain,(
% 59.09/9.97    spl2737_3612 <=> ! [X0 : nat,X1 : num] : (aa(num,int,pos,X1) != aa(nat,int,code_T6385005292777649522of_nat,X0) | aa(num,nat,nat_of_num,X1) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3612])])).
% 59.09/9.97  tff(f60265,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (aa(num,int,pos,X1) != aa(nat,int,code_T6385005292777649522of_nat,X0) | aa(num,nat,nat_of_num,X1) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60264,f35405])).
% 59.09/9.97  tff(f60264,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (aa(nat,int,semiring_1_of_nat(int),X0) != aa(num,int,pos,X1) | aa(num,nat,nat_of_num,X1) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60263,f35413])).
% 59.09/9.97  tff(f35413,plain,(
% 59.09/9.97    numeral_numeral(int) = pos),
% 59.09/9.97    inference(cnf_transformation,[],[f8029])).
% 59.09/9.97  tff(f8029,axiom,(
% 59.09/9.97    numeral_numeral(int) = pos),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8028_Int_OPos__def)).
% 59.09/9.97  tff(f60263,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (aa(num,nat,nat_of_num,X1) = X0 | aa(nat,int,semiring_1_of_nat(int),X0) != aa(num,int,numeral_numeral(int),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f46509,f35414])).
% 59.09/9.97  tff(f46509,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (aa(num,nat,numeral_numeral(nat),X1) = X0 | aa(nat,int,semiring_1_of_nat(int),X0) != aa(num,int,numeral_numeral(int),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32128])).
% 59.09/9.97  tff(f32128,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : num] : ((aa(nat,int,semiring_1_of_nat(int),X0) = aa(num,int,numeral_numeral(int),X1) | aa(num,nat,numeral_numeral(nat),X1) != X0) & (aa(num,nat,numeral_numeral(nat),X1) = X0 | aa(nat,int,semiring_1_of_nat(int),X0) != aa(num,int,numeral_numeral(int),X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f16516])).
% 59.09/9.97  tff(f16516,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : num] : (aa(nat,int,semiring_1_of_nat(int),X0) = aa(num,int,numeral_numeral(int),X1) <=> aa(num,nat,numeral_numeral(nat),X1) = X0)),
% 59.09/9.97    inference(rectify,[],[f2014])).
% 59.09/9.97  tff(f2014,axiom,(
% 59.09/9.97    ! [X9 : nat,X133 : num] : (aa(nat,int,semiring_1_of_nat(int),X9) = aa(num,int,numeral_numeral(int),X133) <=> aa(num,nat,numeral_numeral(nat),X133) = X9)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2013_int__eq__iff__numeral)).
% 59.09/9.97  tff(f116715,plain,(
% 59.09/9.97    spl2737_3611 | ~spl2737_3603 | ~spl2737_3610),
% 59.09/9.97    inference(avatar_split_clause,[],[f116587,f116584,f116509,f116713])).
% 59.09/9.97  tff(f116713,plain,(
% 59.09/9.97    spl2737_3611 <=> ! [X0 : fun(nat,bool),X1 : int] : (~pp(aa(nat,bool,X0,m)) | sP355(X0,X1) | ~pp(aa(nat,bool,X0,sK1956(X0,X1))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3611])])).
% 59.09/9.97  tff(f116584,plain,(
% 59.09/9.97    spl2737_3610 <=> ! [X0 : fun(nat,bool),X1 : int] : (~pp(aa(nat,bool,X0,size_num(one2))) | sP355(X0,X1) | ~pp(aa(nat,bool,X0,sK1956(X0,X1))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3610])])).
% 59.09/9.97  tff(f116587,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : int] : (~pp(aa(nat,bool,X0,m)) | sP355(X0,X1) | ~pp(aa(nat,bool,X0,sK1956(X0,X1)))) ) | (~spl2737_3603 | ~spl2737_3610)),
% 59.09/9.97    inference(forward_demodulation,[],[f116585,f116511])).
% 59.09/9.97  tff(f116585,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : int] : (~pp(aa(nat,bool,X0,size_num(one2))) | sP355(X0,X1) | ~pp(aa(nat,bool,X0,sK1956(X0,X1)))) ) | ~spl2737_3610),
% 59.09/9.97    inference(avatar_component_clause,[],[f116584])).
% 59.09/9.97  tff(f116586,plain,(
% 59.09/9.97    spl2737_3610),
% 59.09/9.97    inference(avatar_split_clause,[],[f60199,f116584])).
% 59.09/9.97  tff(f60199,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : int] : (~pp(aa(nat,bool,X0,size_num(one2))) | sP355(X0,X1) | ~pp(aa(nat,bool,X0,sK1956(X0,X1)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f46434,f35397])).
% 59.09/9.97  tff(f35397,plain,(
% 59.09/9.97    zero_zero(nat) = size_num(one2)),
% 59.09/9.97    inference(cnf_transformation,[],[f3282])).
% 59.09/9.97  tff(f3282,axiom,(
% 59.09/9.97    zero_zero(nat) = size_num(one2)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3281_num_Osize__gen_I1_J)).
% 59.09/9.97  tff(f46434,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : int] : (sP355(X0,X1) | ~pp(aa(nat,bool,X0,zero_zero(nat))) | ~pp(aa(nat,bool,X0,sK1956(X0,X1)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32082])).
% 59.09/9.97  tff(f32082,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : int] : ((sP355(X0,X1) | (~pp(aa(nat,bool,X0,zero_zero(nat))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) | (~pp(aa(nat,bool,X0,sK1956(X0,X1))) & aa(nat,int,semiring_1_of_nat(int),sK1956(X0,X1)) = X1)) & (((pp(aa(nat,bool,X0,zero_zero(nat))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,int,semiring_1_of_nat(int),X3) != X1)) | ~sP355(X0,X1)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1956])],[f32080,f32081])).
% 59.09/9.97  tff(f32081,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : int] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & aa(nat,int,semiring_1_of_nat(int),X2) = X1) => (~pp(aa(nat,bool,X0,sK1956(X0,X1))) & aa(nat,int,semiring_1_of_nat(int),sK1956(X0,X1)) = X1))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f32080,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : int] : ((sP355(X0,X1) | (~pp(aa(nat,bool,X0,zero_zero(nat))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) | ? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & aa(nat,int,semiring_1_of_nat(int),X2) = X1)) & (((pp(aa(nat,bool,X0,zero_zero(nat))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,int,semiring_1_of_nat(int),X3) != X1)) | ~sP355(X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f32079])).
% 59.09/9.97  tff(f32079,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : int] : ((sP355(X0,X1) | (~pp(aa(nat,bool,X0,zero_zero(nat))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) | ? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & aa(nat,int,semiring_1_of_nat(int),X2) = X1)) & (((pp(aa(nat,bool,X0,zero_zero(nat))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ! [X2 : nat] : (pp(aa(nat,bool,X0,X2)) | aa(nat,int,semiring_1_of_nat(int),X2) != X1)) | ~sP355(X0,X1)))),
% 59.09/9.97    inference(flattening,[],[f32078])).
% 59.09/9.97  tff(f32078,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : int] : ((sP355(X0,X1) | ((~pp(aa(nat,bool,X0,zero_zero(nat))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) | ? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & aa(nat,int,semiring_1_of_nat(int),X2) = X1))) & (((pp(aa(nat,bool,X0,zero_zero(nat))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ! [X2 : nat] : (pp(aa(nat,bool,X0,X2)) | aa(nat,int,semiring_1_of_nat(int),X2) != X1)) | ~sP355(X0,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27622])).
% 59.09/9.97  tff(f27622,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : int] : (sP355(X0,X1) <=> ((pp(aa(nat,bool,X0,zero_zero(nat))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ! [X2 : nat] : (pp(aa(nat,bool,X0,X2)) | aa(nat,int,semiring_1_of_nat(int),X2) != X1)))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP355])])).
% 59.09/9.97  tff(f116577,plain,(
% 59.09/9.97    spl2737_3609 | ~spl2737_3603 | ~spl2737_3608),
% 59.09/9.97    inference(avatar_split_clause,[],[f116573,f116570,f116509,f116575])).
% 59.09/9.97  tff(f116575,plain,(
% 59.09/9.97    spl2737_3609 <=> ! [X0 : nat,X1 : nat] : (m = X1 | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) != X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3609])])).
% 59.09/9.97  tff(f116570,plain,(
% 59.09/9.97    spl2737_3608 <=> ! [X0 : nat,X1 : nat] : (size_num(one2) = X1 | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) != X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3608])])).
% 59.09/9.97  tff(f116573,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (m = X1 | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) != X0) ) | (~spl2737_3603 | ~spl2737_3608)),
% 59.09/9.97    inference(forward_demodulation,[],[f116571,f116511])).
% 59.09/9.97  tff(f116571,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X1 | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) != X0) ) | ~spl2737_3608),
% 59.09/9.97    inference(avatar_component_clause,[],[f116570])).
% 59.09/9.97  tff(f116572,plain,(
% 59.09/9.97    spl2737_3608),
% 59.09/9.97    inference(avatar_split_clause,[],[f59044,f116570])).
% 59.09/9.97  tff(f59044,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X1 | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) != X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f45339,f35397])).
% 59.09/9.97  tff(f45339,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) != X0) )),
% 59.09/9.97    inference(cnf_transformation,[],[f24582])).
% 59.09/9.97  tff(f24582,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) != X0)),
% 59.09/9.97    inference(ennf_transformation,[],[f15890])).
% 59.09/9.97  tff(f15890,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) = X0 => zero_zero(nat) = X1)),
% 59.09/9.97    inference(rectify,[],[f205])).
% 59.09/9.97  tff(f205,axiom,(
% 59.09/9.97    ! [X9 : nat,X8 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),X8) = X9 => zero_zero(nat) = X8)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_add__eq__self__zero)).
% 59.09/9.97  tff(f116536,plain,(
% 59.09/9.97    spl2737_3607 | ~spl2737_3603 | ~spl2737_3606),
% 59.09/9.97    inference(avatar_split_clause,[],[f116532,f116529,f116509,f116534])).
% 59.09/9.97  tff(f116534,plain,(
% 59.09/9.97    spl2737_3607 <=> ! [X0 : nat] : (m = X0 | aa(nat,nat,suc,sK1700(X0,aa(nat,list(nat),nat_list_decode,X0))) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3607])])).
% 59.09/9.97  tff(f116529,plain,(
% 59.09/9.97    spl2737_3606 <=> ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1700(X0,aa(nat,list(nat),nat_list_decode,X0))) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3606])])).
% 59.09/9.97  tff(f116532,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (m = X0 | aa(nat,nat,suc,sK1700(X0,aa(nat,list(nat),nat_list_decode,X0))) = X0) ) | (~spl2737_3603 | ~spl2737_3606)),
% 59.09/9.97    inference(forward_demodulation,[],[f116530,f116511])).
% 59.09/9.97  tff(f116530,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1700(X0,aa(nat,list(nat),nat_list_decode,X0))) = X0) ) | ~spl2737_3606),
% 59.09/9.97    inference(avatar_component_clause,[],[f116529])).
% 59.09/9.97  tff(f116531,plain,(
% 59.09/9.97    spl2737_3606),
% 59.09/9.97    inference(avatar_split_clause,[],[f58974,f116529])).
% 59.09/9.97  tff(f58974,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1700(X0,aa(nat,list(nat),nat_list_decode,X0))) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53226,f35397])).
% 59.09/9.97  tff(f53226,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (aa(nat,nat,suc,sK1700(X0,aa(nat,list(nat),nat_list_decode,X0))) = X0 | zero_zero(nat) = X0) )),
% 59.09/9.97    inference(equality_resolution,[],[f45239])).
% 59.09/9.97  tff(f45239,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : list(nat)] : (aa(nat,nat,suc,sK1700(X0,X1)) = X0 | zero_zero(nat) = X0 | aa(nat,list(nat),nat_list_decode,X0) != X1) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31451])).
% 59.09/9.97  tff(f31451,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : list(nat)] : ((aa(product_prod(nat,nat),list(nat),product_case_prod(nat,nat,list(nat),aTP_Lamp_adq(nat,fun(nat,list(nat)))),aa(nat,product_prod(nat,nat),nat_prod_decode,sK1700(X0,X1))) = X1 & aa(nat,nat,suc,sK1700(X0,X1)) = X0) | (nil(nat) = X1 & zero_zero(nat) = X0) | aa(nat,list(nat),nat_list_decode,X0) != X1)),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1700])],[f24480,f31450])).
% 59.09/9.97  tff(f31450,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : list(nat)] : (? [X2 : nat] : (aa(product_prod(nat,nat),list(nat),product_case_prod(nat,nat,list(nat),aTP_Lamp_adq(nat,fun(nat,list(nat)))),aa(nat,product_prod(nat,nat),nat_prod_decode,X2)) = X1 & aa(nat,nat,suc,X2) = X0) => (aa(product_prod(nat,nat),list(nat),product_case_prod(nat,nat,list(nat),aTP_Lamp_adq(nat,fun(nat,list(nat)))),aa(nat,product_prod(nat,nat),nat_prod_decode,sK1700(X0,X1))) = X1 & aa(nat,nat,suc,sK1700(X0,X1)) = X0))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f24480,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : list(nat)] : (? [X2 : nat] : (aa(product_prod(nat,nat),list(nat),product_case_prod(nat,nat,list(nat),aTP_Lamp_adq(nat,fun(nat,list(nat)))),aa(nat,product_prod(nat,nat),nat_prod_decode,X2)) = X1 & aa(nat,nat,suc,X2) = X0) | (nil(nat) = X1 & zero_zero(nat) = X0) | aa(nat,list(nat),nat_list_decode,X0) != X1)),
% 59.09/9.97    inference(flattening,[],[f24479])).
% 59.09/9.97  tff(f24479,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : list(nat)] : ((? [X2 : nat] : (aa(product_prod(nat,nat),list(nat),product_case_prod(nat,nat,list(nat),aTP_Lamp_adq(nat,fun(nat,list(nat)))),aa(nat,product_prod(nat,nat),nat_prod_decode,X2)) = X1 & aa(nat,nat,suc,X2) = X0) | (nil(nat) = X1 & zero_zero(nat) = X0)) | aa(nat,list(nat),nat_list_decode,X0) != X1)),
% 59.09/9.97    inference(ennf_transformation,[],[f15802])).
% 59.09/9.97  tff(f15802,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : list(nat)] : (aa(nat,list(nat),nat_list_decode,X0) = X1 => ((zero_zero(nat) = X0 => nil(nat) != X1) => ~! [X2 : nat] : (aa(nat,nat,suc,X2) = X0 => aa(product_prod(nat,nat),list(nat),product_case_prod(nat,nat,list(nat),aTP_Lamp_adq(nat,fun(nat,list(nat)))),aa(nat,product_prod(nat,nat),nat_prod_decode,X2)) != X1)))),
% 59.09/9.97    inference(rectify,[],[f7125])).
% 59.09/9.97  tff(f7125,axiom,(
% 59.09/9.97    ! [X14 : nat,X15 : list(nat)] : (aa(nat,list(nat),nat_list_decode,X14) = X15 => ((zero_zero(nat) = X14 => nil(nat) != X15) => ~! [X19 : nat] : (aa(nat,nat,suc,X19) = X14 => aa(product_prod(nat,nat),list(nat),product_case_prod(nat,nat,list(nat),aTP_Lamp_adq(nat,fun(nat,list(nat)))),aa(nat,product_prod(nat,nat),nat_prod_decode,X19)) != X15)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7124_list__decode_Oelims)).
% 59.09/9.97  tff(f116521,plain,(
% 59.09/9.97    spl2737_3605 | ~spl2737_3603 | ~spl2737_3604),
% 59.09/9.97    inference(avatar_split_clause,[],[f116517,f116514,f116509,f116519])).
% 59.09/9.97  tff(f116519,plain,(
% 59.09/9.97    spl2737_3605 <=> ! [X1 : nat] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,m),X1) = divmod_nat(X1,m)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3605])])).
% 59.09/9.97  tff(f116514,plain,(
% 59.09/9.97    spl2737_3604 <=> ! [X1 : nat] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,size_num(one2)),X1) = divmod_nat(X1,size_num(one2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3604])])).
% 59.09/9.97  tff(f116517,plain,(
% 59.09/9.97    ( ! [X1 : nat] : (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,m),X1) = divmod_nat(X1,m)) ) | (~spl2737_3603 | ~spl2737_3604)),
% 59.09/9.97    inference(forward_demodulation,[],[f116515,f116511])).
% 59.09/9.97  tff(f116515,plain,(
% 59.09/9.97    ( ! [X1 : nat] : (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,size_num(one2)),X1) = divmod_nat(X1,size_num(one2))) ) | ~spl2737_3604),
% 59.09/9.97    inference(avatar_component_clause,[],[f116514])).
% 59.09/9.97  tff(f116516,plain,(
% 59.09/9.97    spl2737_3604),
% 59.09/9.97    inference(avatar_split_clause,[],[f58337,f116514])).
% 59.09/9.97  tff(f58337,plain,(
% 59.09/9.97    ( ! [X1 : nat] : (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,size_num(one2)),X1) = divmod_nat(X1,size_num(one2))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53155,f35397])).
% 59.09/9.97  tff(f53155,plain,(
% 59.09/9.97    ( ! [X1 : nat] : (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),X1) = divmod_nat(X1,zero_zero(nat))) )),
% 59.09/9.97    inference(equality_resolution,[],[f44154])).
% 59.09/9.97  tff(f44154,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (divmod_nat(X1,X0) = aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),X1) | zero_zero(nat) != X0) )),
% 59.09/9.97    inference(cnf_transformation,[],[f23790])).
% 59.09/9.97  tff(f23790,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : ((divmod_nat(X1,X0) = aa(product_prod(nat,nat),product_prod(nat,nat),product_case_prod(nat,nat,product_prod(nat,nat),aTP_Lamp_hl(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) & (divmod_nat(X1,X0) = aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),X1) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)) & zero_zero(nat) != X0)))),
% 59.09/9.97    inference(flattening,[],[f23789])).
% 59.09/9.97  tff(f23789,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : ((divmod_nat(X1,X0) = aa(product_prod(nat,nat),product_prod(nat,nat),product_case_prod(nat,nat,product_prod(nat,nat),aTP_Lamp_hl(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0)) | (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)) | zero_zero(nat) = X0)) & (divmod_nat(X1,X0) = aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),X1) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)) & zero_zero(nat) != X0)))),
% 59.09/9.97    inference(ennf_transformation,[],[f15275])).
% 59.09/9.97  tff(f15275,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : ((~(pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) => divmod_nat(X1,X0) = aa(product_prod(nat,nat),product_prod(nat,nat),product_case_prod(nat,nat,product_prod(nat,nat),aTP_Lamp_hl(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0),X0))) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)) | zero_zero(nat) = X0) => divmod_nat(X1,X0) = aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),X1)))),
% 59.09/9.97    inference(rectify,[],[f4049])).
% 59.09/9.97  tff(f4049,axiom,(
% 59.09/9.97    ! [X8 : nat,X9 : nat] : ((~(pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X9),X8)) | zero_zero(nat) = X8) => divmod_nat(X9,X8) = aa(product_prod(nat,nat),product_prod(nat,nat),product_case_prod(nat,nat,product_prod(nat,nat),aTP_Lamp_hl(nat,fun(nat,product_prod(nat,nat)))),divmod_nat(aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X9),X8),X8))) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X9),X8)) | zero_zero(nat) = X8) => divmod_nat(X9,X8) = aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),X9)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4048_divmod__nat__if)).
% 59.09/9.97  tff(f116512,plain,(
% 59.09/9.97    spl2737_3603 | spl2737_872 | ~spl2737_3571),
% 59.09/9.97    inference(avatar_split_clause,[],[f115917,f115610,f68540,f116509])).
% 59.09/9.97  tff(f68540,plain,(
% 59.09/9.97    spl2737_872 <=> pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),m),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_872])])).
% 59.09/9.97  tff(f115610,plain,(
% 59.09/9.97    spl2737_3571 <=> ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),size_num(one2))) | size_num(one2) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3571])])).
% 59.09/9.97  tff(f115917,plain,(
% 59.09/9.97    m = size_num(one2) | (spl2737_872 | ~spl2737_3571)),
% 59.09/9.97    inference(resolution,[],[f115611,f68542])).
% 59.09/9.97  tff(f68542,plain,(
% 59.09/9.97    ~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),m),size_num(one2))) | spl2737_872),
% 59.09/9.97    inference(avatar_component_clause,[],[f68540])).
% 59.09/9.97  tff(f115611,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),size_num(one2))) | size_num(one2) = X0) ) | ~spl2737_3571),
% 59.09/9.97    inference(avatar_component_clause,[],[f115610])).
% 59.09/9.97  tff(f116506,plain,(
% 59.09/9.97    spl2737_3602 | spl2737_872 | ~spl2737_3571 | ~spl2737_3601),
% 59.09/9.97    inference(avatar_split_clause,[],[f116502,f116499,f115610,f68540,f116504])).
% 59.09/9.97  tff(f116504,plain,(
% 59.09/9.97    spl2737_3602 <=> ! [X0 : nat,X1 : num] : (m != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,nat_of_num,X1)) | none(num) = bit_take_bit_num(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3602])])).
% 59.09/9.97  tff(f116499,plain,(
% 59.09/9.97    spl2737_3601 <=> ! [X0 : nat,X1 : num] : (size_num(one2) != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,nat_of_num,X1)) | none(num) = bit_take_bit_num(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3601])])).
% 59.09/9.97  tff(f116502,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (m != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,nat_of_num,X1)) | none(num) = bit_take_bit_num(X0,X1)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3601)),
% 59.09/9.97    inference(forward_demodulation,[],[f116500,f115917])).
% 59.09/9.97  tff(f116500,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (size_num(one2) != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,nat_of_num,X1)) | none(num) = bit_take_bit_num(X0,X1)) ) | ~spl2737_3601),
% 59.09/9.97    inference(avatar_component_clause,[],[f116499])).
% 59.09/9.97  tff(f116501,plain,(
% 59.09/9.97    spl2737_3601),
% 59.09/9.97    inference(avatar_split_clause,[],[f58260,f116499])).
% 59.09/9.97  tff(f58260,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (size_num(one2) != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,nat_of_num,X1)) | none(num) = bit_take_bit_num(X0,X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f58259,f35397])).
% 59.09/9.97  tff(f58259,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (zero_zero(nat) != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,nat_of_num,X1)) | none(num) = bit_take_bit_num(X0,X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f44104,f35414])).
% 59.09/9.97  tff(f44104,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : num] : (none(num) = bit_take_bit_num(X0,X1) | zero_zero(nat) != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,numeral_numeral(nat),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f23765])).
% 59.09/9.97  tff(f23765,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : num] : ((bit_take_bit_num(X0,X1) = aa(num,option(num),some(num),aa(nat,num,num_of_nat,bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,numeral_numeral(nat),X1)))) | zero_zero(nat) = bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,numeral_numeral(nat),X1))) & (none(num) = bit_take_bit_num(X0,X1) | zero_zero(nat) != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,numeral_numeral(nat),X1))))),
% 59.09/9.97    inference(ennf_transformation,[],[f15254])).
% 59.09/9.97  tff(f15254,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : num] : ((zero_zero(nat) != bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,numeral_numeral(nat),X1)) => bit_take_bit_num(X0,X1) = aa(num,option(num),some(num),aa(nat,num,num_of_nat,bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,numeral_numeral(nat),X1))))) & (zero_zero(nat) = bit_se2584673776208193580ke_bit(nat,X0,aa(num,nat,numeral_numeral(nat),X1)) => none(num) = bit_take_bit_num(X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f5033])).
% 59.09/9.97  tff(f5033,axiom,(
% 59.09/9.97    ! [X8 : nat,X9 : num] : ((zero_zero(nat) != bit_se2584673776208193580ke_bit(nat,X8,aa(num,nat,numeral_numeral(nat),X9)) => bit_take_bit_num(X8,X9) = aa(num,option(num),some(num),aa(nat,num,num_of_nat,bit_se2584673776208193580ke_bit(nat,X8,aa(num,nat,numeral_numeral(nat),X9))))) & (zero_zero(nat) = bit_se2584673776208193580ke_bit(nat,X8,aa(num,nat,numeral_numeral(nat),X9)) => none(num) = bit_take_bit_num(X8,X9)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5032_take__bit__num__def)).
% 59.09/9.97  tff(f116497,plain,(
% 59.09/9.97    spl2737_3600),
% 59.09/9.97    inference(avatar_split_clause,[],[f57581,f116495])).
% 59.09/9.97  tff(f116495,plain,(
% 59.09/9.97    spl2737_3600 <=> ! [X0 : nat,X1 : nat] : order_underS(nat,bNF_Ca8665028551170535155natLeq,X0) = aa(nat,set(nat),aTP_Lamp_afh(nat,fun(nat,set(nat)),X0),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3600])])).
% 59.09/9.97  tff(f57581,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (order_underS(nat,bNF_Ca8665028551170535155natLeq,X0) = aa(nat,set(nat),aTP_Lamp_afh(nat,fun(nat,set(nat)),X0),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f43701,f36051])).
% 59.09/9.97  tff(f36051,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0)) = order_underS(nat,bNF_Ca8665028551170535155natLeq,X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10212])).
% 59.09/9.97  tff(f10212,plain,(
% 59.09/9.97    ! [X0 : nat] : collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0)) = order_underS(nat,bNF_Ca8665028551170535155natLeq,X0)),
% 59.09/9.97    inference(rectify,[],[f7389])).
% 59.09/9.97  tff(f7389,axiom,(
% 59.09/9.97    ! [X8 : nat] : collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X8)) = order_underS(nat,bNF_Ca8665028551170535155natLeq,X8)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7388_natLeq__underS__less)).
% 59.09/9.97  tff(f43701,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0)) = aa(nat,set(nat),aTP_Lamp_afh(nat,fun(nat,set(nat)),X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14884])).
% 59.09/9.97  tff(f14884,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0)) = aa(nat,set(nat),aTP_Lamp_afh(nat,fun(nat,set(nat)),X0),X1)),
% 59.09/9.97    inference(rectify,[],[f8482])).
% 59.09/9.97  tff(f8482,axiom,(
% 59.09/9.97    ! [X94 : nat,X353 : nat] : aa(nat,set(nat),aTP_Lamp_afh(nat,fun(nat,set(nat)),X94),X353) = collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X94))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8481_ATP_Olambda__366)).
% 59.09/9.97  tff(f116493,plain,(
% 59.09/9.97    spl2737_3599),
% 59.09/9.97    inference(avatar_split_clause,[],[f57522,f116491])).
% 59.09/9.97  tff(f116491,plain,(
% 59.09/9.97    spl2737_3599 <=> ! [X0 : nat,X1 : nat] : image(nat,nat,suc,set_or1337092689740270186AtMost(nat,X0,X1)) = set_or3652927894154168847AtMost(nat,X0,aa(nat,nat,suc,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3599])])).
% 59.09/9.97  tff(f57522,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (image(nat,nat,suc,set_or1337092689740270186AtMost(nat,X0,X1)) = set_or3652927894154168847AtMost(nat,X0,aa(nat,nat,suc,X1))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f43611,f43553])).
% 59.09/9.97  tff(f43553,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (set_or3652927894154168847AtMost(nat,X0,X1) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14736])).
% 59.09/9.97  tff(f14736,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : set_or3652927894154168847AtMost(nat,X0,X1) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),X1)),
% 59.09/9.97    inference(rectify,[],[f5131])).
% 59.09/9.97  tff(f5131,axiom,(
% 59.09/9.97    ! [X51 : nat,X132 : nat] : set_or3652927894154168847AtMost(nat,X51,X132) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X51),X132)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5130_atLeastSucAtMost__greaterThanAtMost)).
% 59.09/9.97  tff(f43611,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (image(nat,nat,suc,set_or1337092689740270186AtMost(nat,X0,X1)) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),aa(nat,nat,suc,X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14794])).
% 59.09/9.97  tff(f14794,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : image(nat,nat,suc,set_or1337092689740270186AtMost(nat,X0,X1)) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),aa(nat,nat,suc,X1))),
% 59.09/9.97    inference(rectify,[],[f4855])).
% 59.09/9.97  tff(f4855,axiom,(
% 59.09/9.97    ! [X23 : nat,X24 : nat] : image(nat,nat,suc,set_or1337092689740270186AtMost(nat,X23,X24)) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X23),aa(nat,nat,suc,X24))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4854_image__Suc__atLeastAtMost)).
% 59.09/9.97  tff(f116489,plain,(
% 59.09/9.97    spl2737_3598),
% 59.09/9.97    inference(avatar_split_clause,[],[f57514,f116487])).
% 59.09/9.97  tff(f116487,plain,(
% 59.09/9.97    spl2737_3598 <=> ! [X0 : nat,X1 : nat] : set_or5935395276787703475ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),tl(nat,upt(X0,X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3598])])).
% 59.09/9.97  tff(f57514,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (set_or5935395276787703475ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),tl(nat,upt(X0,X1)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f43587,f43556])).
% 59.09/9.97  tff(f43556,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (tl(nat,upt(X0,X1)) = upt(aa(nat,nat,suc,X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14739])).
% 59.09/9.97  tff(f14739,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : tl(nat,upt(X0,X1)) = upt(aa(nat,nat,suc,X0),X1)),
% 59.09/9.97    inference(rectify,[],[f5550])).
% 59.09/9.97  tff(f5550,axiom,(
% 59.09/9.97    ! [X9 : nat,X8 : nat] : tl(nat,upt(X9,X8)) = upt(aa(nat,nat,suc,X9),X8)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5549_tl__upt)).
% 59.09/9.97  tff(f43587,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (set_or5935395276787703475ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),upt(aa(nat,nat,suc,X0),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14770])).
% 59.09/9.97  tff(f14770,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : set_or5935395276787703475ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),upt(aa(nat,nat,suc,X0),X1))),
% 59.09/9.97    inference(rectify,[],[f5262])).
% 59.09/9.97  tff(f5262,axiom,(
% 59.09/9.97    ! [X8 : nat,X9 : nat] : set_or5935395276787703475ssThan(nat,X8,X9) = aa(list(nat),set(nat),set2(nat),upt(aa(nat,nat,suc,X8),X9))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5261_greaterThanLessThan__upt)).
% 59.09/9.97  tff(f116479,plain,(
% 59.09/9.97    spl2737_3597 | spl2737_872 | ~spl2737_3571 | ~spl2737_3596),
% 59.09/9.97    inference(avatar_split_clause,[],[f116475,f116472,f115610,f68540,f116477])).
% 59.09/9.97  tff(f116477,plain,(
% 59.09/9.97    spl2737_3597 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X1,m)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3597])])).
% 59.09/9.97  tff(f116472,plain,(
% 59.09/9.97    spl2737_3596 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X1,size_num(one2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3596])])).
% 59.09/9.97  tff(f116475,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X1,m)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3596)),
% 59.09/9.97    inference(forward_demodulation,[],[f116473,f115917])).
% 59.09/9.97  tff(f116473,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X1,size_num(one2))) ) | ~spl2737_3596),
% 59.09/9.97    inference(avatar_component_clause,[],[f116472])).
% 59.09/9.97  tff(f116474,plain,(
% 59.09/9.97    spl2737_3596),
% 59.09/9.97    inference(avatar_split_clause,[],[f57512,f116472])).
% 59.09/9.97  tff(f57512,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X1,size_num(one2))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f43580,f35397])).
% 59.09/9.97  tff(f43580,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X1,zero_zero(nat))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14763])).
% 59.09/9.97  tff(f14763,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X1,zero_zero(nat))),
% 59.09/9.97    inference(rectify,[],[f7059])).
% 59.09/9.97  tff(f7059,axiom,(
% 59.09/9.97    ! [X0 : $tType,X116 : set(product_prod(X0,X0))] : bot_bot(set(product_prod(list(X0),list(X0)))) = lexn(X0,X116,zero_zero(nat))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7058_lexn_Osimps_I1_J)).
% 59.09/9.97  tff(f116460,plain,(
% 59.09/9.97    spl2737_3595 | spl2737_872 | ~spl2737_3571 | ~spl2737_3594),
% 59.09/9.97    inference(avatar_split_clause,[],[f116456,f116453,f115610,f68540,f116458])).
% 59.09/9.97  tff(f116458,plain,(
% 59.09/9.97    spl2737_3595 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),m) | ~power(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3595])])).
% 59.09/9.97  tff(f116453,plain,(
% 59.09/9.97    spl2737_3594 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),size_num(one2)) | ~power(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3594])])).
% 59.09/9.97  tff(f116456,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),m) | ~power(X0)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3594)),
% 59.09/9.97    inference(forward_demodulation,[],[f116454,f115917])).
% 59.09/9.97  tff(f116454,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),size_num(one2)) | ~power(X0)) ) | ~spl2737_3594),
% 59.09/9.97    inference(avatar_component_clause,[],[f116453])).
% 59.09/9.97  tff(f116455,plain,(
% 59.09/9.97    spl2737_3594),
% 59.09/9.97    inference(avatar_split_clause,[],[f56137,f116453])).
% 59.09/9.97  tff(f56137,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),size_num(one2)) | ~power(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f41317,f35397])).
% 59.09/9.97  tff(f41317,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),zero_zero(nat)) | ~power(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f21817])).
% 59.09/9.97  tff(f21817,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),zero_zero(nat)) | ~power(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f13303])).
% 59.09/9.97  tff(f13303,plain,(
% 59.09/9.97    ! [X0 : $tType] : (power(X0) => ! [X1 : X0] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),zero_zero(nat)))),
% 59.09/9.97    inference(rectify,[],[f1492])).
% 59.09/9.97  tff(f1492,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (power(X0) => ! [X7 : X0] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X7),zero_zero(nat)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1491_power__0)).
% 59.09/9.97  tff(f116438,plain,(
% 59.09/9.97    spl2737_3593 | spl2737_872 | ~spl2737_3571 | ~spl2737_3592),
% 59.09/9.97    inference(avatar_split_clause,[],[f116434,f116431,f115610,f68540,f116436])).
% 59.09/9.97  tff(f116436,plain,(
% 59.09/9.97    spl2737_3593 <=> ! [X0 : $tType,X1 : bool] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),m)) | ~pp(X1) | ~bit_semiring_bits(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3593])])).
% 59.09/9.97  tff(f116431,plain,(
% 59.09/9.97    spl2737_3592 <=> ! [X0 : $tType,X1 : bool] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),size_num(one2))) | ~pp(X1) | ~bit_semiring_bits(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3592])])).
% 59.09/9.97  tff(f116434,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : bool] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),m)) | ~pp(X1) | ~bit_semiring_bits(X0)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3592)),
% 59.09/9.97    inference(forward_demodulation,[],[f116432,f115917])).
% 59.09/9.97  tff(f116432,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : bool] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),size_num(one2))) | ~pp(X1) | ~bit_semiring_bits(X0)) ) | ~spl2737_3592),
% 59.09/9.97    inference(avatar_component_clause,[],[f116431])).
% 59.09/9.97  tff(f116433,plain,(
% 59.09/9.97    spl2737_3592),
% 59.09/9.97    inference(avatar_split_clause,[],[f55517,f116431])).
% 59.09/9.97  tff(f55517,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : bool] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),size_num(one2))) | ~pp(X1) | ~bit_semiring_bits(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f52790,f35397])).
% 59.09/9.97  tff(f52790,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : bool] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),zero_zero(nat))) | ~pp(X1) | ~bit_semiring_bits(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f39524])).
% 59.09/9.97  tff(f39524,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : nat,X1 : bool] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)) | zero_zero(nat) != X2 | ~pp(X1) | ~bit_semiring_bits(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f29092])).
% 59.09/9.97  tff(f29092,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : bool,X2 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)) | zero_zero(nat) != X2 | ~pp(X1)) & ((zero_zero(nat) = X2 & pp(X1)) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)))) | ~bit_semiring_bits(X0))),
% 59.09/9.97    inference(flattening,[],[f29091])).
% 59.09/9.97  tff(f29091,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : bool,X2 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)) | (zero_zero(nat) != X2 | ~pp(X1))) & ((zero_zero(nat) = X2 & pp(X1)) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)))) | ~bit_semiring_bits(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f20464])).
% 59.09/9.97  tff(f20464,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : bool,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)) <=> (zero_zero(nat) = X2 & pp(X1))) | ~bit_semiring_bits(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f12219])).
% 59.09/9.97  tff(f12219,plain,(
% 59.09/9.97    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : bool,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)) <=> (zero_zero(nat) = X2 & pp(X1))))),
% 59.09/9.97    inference(rectify,[],[f3399])).
% 59.09/9.97  tff(f3399,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X49 : bool,X8 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X49)),X8)) <=> (zero_zero(nat) = X8 & pp(X49))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3398_bit__of__bool__iff)).
% 59.09/9.97  tff(f116422,plain,(
% 59.09/9.97    spl2737_3591 | spl2737_872 | ~spl2737_3571 | ~spl2737_3590),
% 59.09/9.97    inference(avatar_split_clause,[],[f116418,f116415,f115610,f68540,f116420])).
% 59.09/9.97  tff(f116420,plain,(
% 59.09/9.97    spl2737_3591 <=> ! [X0 : $tType,X1 : X0,X3 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),m),X3) | ~semiring_gcd(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3591])])).
% 59.09/9.97  tff(f116415,plain,(
% 59.09/9.97    spl2737_3590 <=> ! [X0 : $tType,X1 : X0,X3 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),size_num(one2)),X3) | ~semiring_gcd(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3590])])).
% 59.09/9.97  tff(f116418,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),m),X3) | ~semiring_gcd(X0)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3590)),
% 59.09/9.97    inference(forward_demodulation,[],[f116416,f115917])).
% 59.09/9.97  tff(f116416,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),size_num(one2)),X3) | ~semiring_gcd(X0)) ) | ~spl2737_3590),
% 59.09/9.97    inference(avatar_component_clause,[],[f116415])).
% 59.09/9.97  tff(f116417,plain,(
% 59.09/9.97    spl2737_3590),
% 59.09/9.97    inference(avatar_split_clause,[],[f55074,f116415])).
% 59.09/9.97  tff(f55074,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),size_num(one2)),X3) | ~semiring_gcd(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f52601,f35397])).
% 59.09/9.97  tff(f52601,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),zero_zero(nat)),X3) | ~semiring_gcd(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f37439])).
% 59.09/9.97  tff(f37439,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2),X3) | zero_zero(nat) != X2 | ~semiring_gcd(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28399])).
% 59.09/9.97  tff(f28399,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : X0] : ((algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2),X3) | (zero_zero(nat) != X2 & ~algebr8660921524188924756oprime(X0,X1,X3))) & (zero_zero(nat) = X2 | algebr8660921524188924756oprime(X0,X1,X3) | ~algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2),X3))) | ~semiring_gcd(X0))),
% 59.09/9.97    inference(flattening,[],[f28398])).
% 59.09/9.97  tff(f28398,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : X0] : ((algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2),X3) | (zero_zero(nat) != X2 & ~algebr8660921524188924756oprime(X0,X1,X3))) & ((zero_zero(nat) = X2 | algebr8660921524188924756oprime(X0,X1,X3)) | ~algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2),X3))) | ~semiring_gcd(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f19152])).
% 59.09/9.97  tff(f19152,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2),X3) <=> (zero_zero(nat) = X2 | algebr8660921524188924756oprime(X0,X1,X3))) | ~semiring_gcd(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f11132])).
% 59.09/9.97  tff(f11132,plain,(
% 59.09/9.97    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0,X2 : nat,X3 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2),X3) <=> (zero_zero(nat) = X2 | algebr8660921524188924756oprime(X0,X1,X3))))),
% 59.09/9.97    inference(rectify,[],[f6797])).
% 59.09/9.97  tff(f6797,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0,X8 : nat,X49 : X0] : (algebr8660921524188924756oprime(X0,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X7),X8),X49) <=> (zero_zero(nat) = X8 | algebr8660921524188924756oprime(X0,X7,X49))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6796_coprime__power__left__iff)).
% 59.09/9.97  tff(f116406,plain,(
% 59.09/9.97    spl2737_3589 | spl2737_872 | ~spl2737_3571 | ~spl2737_3588),
% 59.09/9.97    inference(avatar_split_clause,[],[f116402,f116399,f115610,f68540,f116404])).
% 59.09/9.97  tff(f116404,plain,(
% 59.09/9.97    spl2737_3589 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),m)) | ~semiring_gcd(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3589])])).
% 59.09/9.97  tff(f116399,plain,(
% 59.09/9.97    spl2737_3588 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),size_num(one2))) | ~semiring_gcd(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3588])])).
% 59.09/9.97  tff(f116402,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),m)) | ~semiring_gcd(X0)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3588)),
% 59.09/9.97    inference(forward_demodulation,[],[f116400,f115917])).
% 59.09/9.97  tff(f116400,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),size_num(one2))) | ~semiring_gcd(X0)) ) | ~spl2737_3588),
% 59.09/9.97    inference(avatar_component_clause,[],[f116399])).
% 59.09/9.97  tff(f116401,plain,(
% 59.09/9.97    spl2737_3588),
% 59.09/9.97    inference(avatar_split_clause,[],[f55072,f116399])).
% 59.09/9.97  tff(f55072,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),size_num(one2))) | ~semiring_gcd(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f52600,f35397])).
% 59.09/9.97  tff(f52600,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),zero_zero(nat))) | ~semiring_gcd(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f37433])).
% 59.09/9.97  tff(f37433,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : nat,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X3)) | zero_zero(nat) != X3 | ~semiring_gcd(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28395])).
% 59.09/9.97  tff(f28395,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : nat] : ((algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X3)) | (zero_zero(nat) != X3 & ~algebr8660921524188924756oprime(X0,X1,X2))) & (zero_zero(nat) = X3 | algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X3)))) | ~semiring_gcd(X0))),
% 59.09/9.97    inference(flattening,[],[f28394])).
% 59.09/9.97  tff(f28394,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : nat] : ((algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X3)) | (zero_zero(nat) != X3 & ~algebr8660921524188924756oprime(X0,X1,X2))) & ((zero_zero(nat) = X3 | algebr8660921524188924756oprime(X0,X1,X2)) | ~algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X3)))) | ~semiring_gcd(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f19150])).
% 59.09/9.97  tff(f19150,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : nat] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X3)) <=> (zero_zero(nat) = X3 | algebr8660921524188924756oprime(X0,X1,X2))) | ~semiring_gcd(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f11130])).
% 59.09/9.97  tff(f11130,plain,(
% 59.09/9.97    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0,X2 : X0,X3 : nat] : (algebr8660921524188924756oprime(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X2),X3)) <=> (zero_zero(nat) = X3 | algebr8660921524188924756oprime(X0,X1,X2))))),
% 59.09/9.97    inference(rectify,[],[f6798])).
% 59.09/9.97  tff(f6798,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0,X49 : X0,X8 : nat] : (algebr8660921524188924756oprime(X0,X7,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X49),X8)) <=> (zero_zero(nat) = X8 | algebr8660921524188924756oprime(X0,X7,X49))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6797_coprime__power__right__iff)).
% 59.09/9.97  tff(f116395,plain,(
% 59.09/9.97    spl2737_3587 | spl2737_872 | ~spl2737_3571 | ~spl2737_3586),
% 59.09/9.97    inference(avatar_split_clause,[],[f116391,f116388,f115610,f68540,f116393])).
% 59.09/9.97  tff(f116393,plain,(
% 59.09/9.97    spl2737_3587 <=> ! [X0 : $tType,X1 : set(X0)] : (m = real_Vector_dim(X0,X1) | real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3587])])).
% 59.09/9.97  tff(f116388,plain,(
% 59.09/9.97    spl2737_3586 <=> ! [X0 : $tType,X1 : set(X0)] : (size_num(one2) = real_Vector_dim(X0,X1) | real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3586])])).
% 59.09/9.97  tff(f116391,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(X0)] : (m = real_Vector_dim(X0,X1) | real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3586)),
% 59.09/9.97    inference(forward_demodulation,[],[f116389,f115917])).
% 59.09/9.97  tff(f116389,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(X0)] : (size_num(one2) = real_Vector_dim(X0,X1) | real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0)) ) | ~spl2737_3586),
% 59.09/9.97    inference(avatar_component_clause,[],[f116388])).
% 59.09/9.97  tff(f116390,plain,(
% 59.09/9.97    spl2737_3586),
% 59.09/9.97    inference(avatar_split_clause,[],[f55060,f116388])).
% 59.09/9.97  tff(f55060,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(X0)] : (size_num(one2) = real_Vector_dim(X0,X1) | real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f37065,f35397])).
% 59.09/9.97  tff(f37065,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(nat) = real_Vector_dim(X0,X1) | real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28228])).
% 59.09/9.97  tff(f28228,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : set(X0)] : ((zero_zero(nat) = real_Vector_dim(X0,X1) | (real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) & ~real_V358717886546972837endent(X0,sK651(X0,X1)))) & (real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),fChoice(set(X0),aTP_Lamp_aev(set(X0),fun(set(X0),bool),X1))) | ! [X3 : set(X0)] : (real_Vector_span(X0,X1) != real_Vector_span(X0,X3) | real_V358717886546972837endent(X0,X3)))) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK651])],[f18910,f28227])).
% 59.09/9.97  tff(f28227,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : set(X0)] : (real_Vector_span(X0,X1) = real_Vector_span(X0,X2) & ~real_V358717886546972837endent(X0,X2)) => (real_Vector_span(X0,X1) = real_Vector_span(X0,sK651(X0,X1)) & ~real_V358717886546972837endent(X0,sK651(X0,X1))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f18910,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : set(X0)] : ((zero_zero(nat) = real_Vector_dim(X0,X1) | ? [X2 : set(X0)] : (real_Vector_span(X0,X1) = real_Vector_span(X0,X2) & ~real_V358717886546972837endent(X0,X2))) & (real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),fChoice(set(X0),aTP_Lamp_aev(set(X0),fun(set(X0),bool),X1))) | ! [X3 : set(X0)] : (real_Vector_span(X0,X1) != real_Vector_span(X0,X3) | real_V358717886546972837endent(X0,X3)))) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f10931])).
% 59.09/9.97  tff(f10931,plain,(
% 59.09/9.97    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : ((~? [X2 : set(X0)] : (real_Vector_span(X0,X1) = real_Vector_span(X0,X2) & ~real_V358717886546972837endent(X0,X2)) => zero_zero(nat) = real_Vector_dim(X0,X1)) & (? [X3 : set(X0)] : (real_Vector_span(X0,X1) = real_Vector_span(X0,X3) & ~real_V358717886546972837endent(X0,X3)) => real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),fChoice(set(X0),aTP_Lamp_aev(set(X0),fun(set(X0),bool),X1))))))),
% 59.09/9.97    inference(rectify,[],[f7322])).
% 59.09/9.97  tff(f7322,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X38 : set(X0)] : ((~? [X59 : set(X0)] : (real_Vector_span(X0,X38) = real_Vector_span(X0,X59) & ~real_V358717886546972837endent(X0,X59)) => zero_zero(nat) = real_Vector_dim(X0,X38)) & (? [X339 : set(X0)] : (real_Vector_span(X0,X339) = real_Vector_span(X0,X38) & ~real_V358717886546972837endent(X0,X339)) => real_Vector_dim(X0,X38) = aa(set(X0),nat,finite_card(X0),fChoice(set(X0),aTP_Lamp_aev(set(X0),fun(set(X0),bool),X38))))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7321_dim__def)).
% 59.09/9.97  tff(f116333,plain,(
% 59.09/9.97    spl2737_3585 | spl2737_872 | ~spl2737_3571 | ~spl2737_3584),
% 59.09/9.97    inference(avatar_split_clause,[],[f116329,f116326,f115610,f68540,f116331])).
% 59.09/9.97  tff(f116331,plain,(
% 59.09/9.97    spl2737_3585 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,m)) | ~real_V8999393235501362500lgebra(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3585])])).
% 59.09/9.97  tff(f116326,plain,(
% 59.09/9.97    spl2737_3584 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,size_num(one2))) | ~real_V8999393235501362500lgebra(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3584])])).
% 59.09/9.97  tff(f116329,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,m)) | ~real_V8999393235501362500lgebra(X0)) ) | (spl2737_872 | ~spl2737_3571 | ~spl2737_3584)),
% 59.09/9.97    inference(forward_demodulation,[],[f116327,f115917])).
% 59.09/9.97  tff(f116327,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,size_num(one2))) | ~real_V8999393235501362500lgebra(X0)) ) | ~spl2737_3584),
% 59.09/9.97    inference(avatar_component_clause,[],[f116326])).
% 59.09/9.97  tff(f116328,plain,(
% 59.09/9.97    spl2737_3584),
% 59.09/9.97    inference(avatar_split_clause,[],[f55003,f116326])).
% 59.09/9.97  tff(f55003,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,size_num(one2))) | ~real_V8999393235501362500lgebra(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36930,f35397])).
% 59.09/9.97  tff(f36930,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,zero_zero(nat))) | ~real_V8999393235501362500lgebra(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f18792])).
% 59.09/9.97  tff(f18792,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,zero_zero(nat))) | ~real_V8999393235501362500lgebra(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f10829])).
% 59.09/9.97  tff(f10829,plain,(
% 59.09/9.97    ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X1 : fun(nat,X0)] : sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1),aa(nat,X0,X1,zero_zero(nat))))),
% 59.09/9.97    inference(rectify,[],[f3760])).
% 59.09/9.97  tff(f3760,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X7 : fun(nat,X0)] : sums(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X7),aa(nat,X0,X7,zero_zero(nat))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3759_powser__sums__zero)).
% 59.09/9.97  tff(f116324,plain,(
% 59.09/9.97    spl2737_3583),
% 59.09/9.97    inference(avatar_split_clause,[],[f54355,f116322])).
% 59.09/9.97  tff(f116322,plain,(
% 59.09/9.97    spl2737_3583 <=> ! [X0 : int] : aa(int,rat,aa(int,fun(int,rat),fract,X0),one_one(int)) = aa(int,rat,of_int,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3583])])).
% 59.09/9.97  tff(f54355,plain,(
% 59.09/9.97    ( ! [X0 : int] : (aa(int,rat,aa(int,fun(int,rat),fract,X0),one_one(int)) = aa(int,rat,of_int,X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36050,f35404])).
% 59.09/9.97  tff(f35404,plain,(
% 59.09/9.97    ring_1_of_int(rat) = of_int),
% 59.09/9.97    inference(cnf_transformation,[],[f4542])).
% 59.09/9.97  tff(f4542,axiom,(
% 59.09/9.97    ring_1_of_int(rat) = of_int),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4541_Rat_Oof__int__def)).
% 59.09/9.97  tff(f36050,plain,(
% 59.09/9.97    ( ! [X0 : int] : (aa(int,rat,aa(int,fun(int,rat),fract,X0),one_one(int)) = aa(int,rat,ring_1_of_int(rat),X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10211])).
% 59.09/9.97  tff(f10211,plain,(
% 59.09/9.97    ! [X0 : int] : aa(int,rat,aa(int,fun(int,rat),fract,X0),one_one(int)) = aa(int,rat,ring_1_of_int(rat),X0)),
% 59.09/9.97    inference(rectify,[],[f4989])).
% 59.09/9.97  tff(f4989,axiom,(
% 59.09/9.97    ! [X18 : int] : aa(int,rat,aa(int,fun(int,rat),fract,X18),one_one(int)) = aa(int,rat,ring_1_of_int(rat),X18)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4988_Fract__of__int__eq)).
% 59.09/9.97  tff(f116320,plain,(
% 59.09/9.97    spl2737_3582),
% 59.09/9.97    inference(avatar_split_clause,[],[f54344,f116318])).
% 59.09/9.97  tff(f116318,plain,(
% 59.09/9.97    spl2737_3582 <=> ! [X0 : rat] : aa(rat,real,ratreal,X0) = aa(fun(nat,rat),real,real2,aTP_Lamp_mt(rat,fun(nat,rat),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3582])])).
% 59.09/9.97  tff(f54344,plain,(
% 59.09/9.97    ( ! [X0 : rat] : (aa(rat,real,ratreal,X0) = aa(fun(nat,rat),real,real2,aTP_Lamp_mt(rat,fun(nat,rat),X0))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36034,f35403])).
% 59.09/9.97  tff(f35403,plain,(
% 59.09/9.97    field_char_0_of_rat(real) = ratreal),
% 59.09/9.97    inference(cnf_transformation,[],[f7803])).
% 59.09/9.97  tff(f7803,axiom,(
% 59.09/9.97    field_char_0_of_rat(real) = ratreal),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7802_Ratreal__def)).
% 59.09/9.97  tff(f36034,plain,(
% 59.09/9.97    ( ! [X0 : rat] : (aa(rat,real,field_char_0_of_rat(real),X0) = aa(fun(nat,rat),real,real2,aTP_Lamp_mt(rat,fun(nat,rat),X0))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10195])).
% 59.09/9.97  tff(f10195,plain,(
% 59.09/9.97    ! [X0 : rat] : aa(rat,real,field_char_0_of_rat(real),X0) = aa(fun(nat,rat),real,real2,aTP_Lamp_mt(rat,fun(nat,rat),X0))),
% 59.09/9.97    inference(rectify,[],[f6735])).
% 59.09/9.97  tff(f6735,axiom,(
% 59.09/9.97    ! [X14 : rat] : aa(rat,real,field_char_0_of_rat(real),X14) = aa(fun(nat,rat),real,real2,aTP_Lamp_mt(rat,fun(nat,rat),X14))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6734_of__rat__Real)).
% 59.09/9.97  tff(f116316,plain,(
% 59.09/9.97    spl2737_3581),
% 59.09/9.97    inference(avatar_split_clause,[],[f54337,f116314])).
% 59.09/9.97  tff(f116314,plain,(
% 59.09/9.97    spl2737_3581 <=> ! [X0 : nat] : aa(nat,real,aTP_Lamp_vr(nat,real),X0) = divide_divide(real,im(imaginary_unit),aa(nat,real,semiring_1_of_nat(real),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3581])])).
% 59.09/9.97  tff(f54337,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_vr(nat,real),X0) = divide_divide(real,im(imaginary_unit),aa(nat,real,semiring_1_of_nat(real),X0))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36024,f35393])).
% 59.09/9.97  tff(f36024,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (aa(nat,real,aTP_Lamp_vr(nat,real),X0) = divide_divide(real,one_one(real),aa(nat,real,semiring_1_of_nat(real),X0))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10184])).
% 59.09/9.97  tff(f10184,plain,(
% 59.09/9.97    ! [X0 : nat] : aa(nat,real,aTP_Lamp_vr(nat,real),X0) = divide_divide(real,one_one(real),aa(nat,real,semiring_1_of_nat(real),X0))),
% 59.09/9.97    inference(rectify,[],[f8141])).
% 59.09/9.97  tff(f8141,axiom,(
% 59.09/9.97    ! [X94 : nat] : aa(nat,real,aTP_Lamp_vr(nat,real),X94) = divide_divide(real,one_one(real),aa(nat,real,semiring_1_of_nat(real),X94))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8140_ATP_Olambda__25)).
% 59.09/9.97  tff(f116312,plain,(
% 59.09/9.97    spl2737_3580 | spl2737_872 | ~spl2737_2456 | ~spl2737_3571 | ~spl2737_3576),
% 59.09/9.97    inference(avatar_split_clause,[],[f116249,f115630,f115610,f78325,f68540,f116310])).
% 59.09/9.97  tff(f116310,plain,(
% 59.09/9.97    spl2737_3580 <=> ! [X0 : int] : sP360(m,X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3580])])).
% 59.09/9.97  tff(f78325,plain,(
% 59.09/9.97    spl2737_2456 <=> ! [X0 : int] : pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),zero_zero(int)),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2456])])).
% 59.09/9.97  tff(f115630,plain,(
% 59.09/9.97    spl2737_3576 <=> ! [X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),zero_zero(int)),X1)) | sP360(size_num(one2),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3576])])).
% 59.09/9.97  tff(f116249,plain,(
% 59.09/9.97    ( ! [X0 : int] : (sP360(m,X0)) ) | (spl2737_872 | ~spl2737_2456 | ~spl2737_3571 | ~spl2737_3576)),
% 59.09/9.97    inference(forward_demodulation,[],[f116203,f115917])).
% 59.09/9.97  tff(f116203,plain,(
% 59.09/9.97    ( ! [X0 : int] : (sP360(size_num(one2),X0)) ) | (~spl2737_2456 | ~spl2737_3576)),
% 59.09/9.97    inference(resolution,[],[f115631,f78326])).
% 59.09/9.97  tff(f78326,plain,(
% 59.09/9.97    ( ! [X0 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),zero_zero(int)),X0))) ) | ~spl2737_2456),
% 59.09/9.97    inference(avatar_component_clause,[],[f78325])).
% 59.09/9.97  tff(f115631,plain,(
% 59.09/9.97    ( ! [X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),zero_zero(int)),X1)) | sP360(size_num(one2),X1)) ) | ~spl2737_3576),
% 59.09/9.97    inference(avatar_component_clause,[],[f115630])).
% 59.09/9.97  tff(f116308,plain,(
% 59.09/9.97    spl2737_3579),
% 59.09/9.97    inference(avatar_split_clause,[],[f54107,f116305])).
% 59.09/9.97  tff(f116305,plain,(
% 59.09/9.97    spl2737_3579 <=> code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),pos)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3579])])).
% 59.09/9.97  tff(f54107,plain,(
% 59.09/9.97    code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),pos)),
% 59.09/9.97    inference(forward_demodulation,[],[f35562,f35413])).
% 59.09/9.97  tff(f35562,plain,(
% 59.09/9.97    code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),numeral_numeral(int))),
% 59.09/9.97    inference(cnf_transformation,[],[f4667])).
% 59.09/9.97  tff(f4667,axiom,(
% 59.09/9.97    code_Target_negative = aa(fun(num,int),fun(num,int),comp(int,int,num,uminus_uminus(int)),numeral_numeral(int))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4666_Code__Target__Int_Onegative__def)).
% 59.09/9.97  tff(f115886,plain,(
% 59.09/9.97    spl2737_3578 | spl2737_872 | ~spl2737_3564),
% 59.09/9.97    inference(avatar_split_clause,[],[f115802,f115582,f68540,f115884])).
% 59.09/9.97  tff(f115884,plain,(
% 59.09/9.97    spl2737_3578 <=> ! [X0 : fun(real,bool),X1 : real] : sP478(X0,X1,m)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3578])])).
% 59.09/9.97  tff(f115582,plain,(
% 59.09/9.97    spl2737_3564 <=> ! [X2 : nat,X0 : fun(real,bool),X1 : real] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X2),size_num(one2))) | sP478(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3564])])).
% 59.09/9.97  tff(f115802,plain,(
% 59.09/9.97    ( ! [X0 : fun(real,bool),X1 : real] : (sP478(X0,X1,m)) ) | (spl2737_872 | ~spl2737_3564)),
% 59.09/9.97    inference(resolution,[],[f115583,f68542])).
% 59.09/9.97  tff(f115583,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : fun(real,bool),X1 : real] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X2),size_num(one2))) | sP478(X0,X1,X2)) ) | ~spl2737_3564),
% 59.09/9.97    inference(avatar_component_clause,[],[f115582])).
% 59.09/9.97  tff(f115636,plain,(
% 59.09/9.97    spl2737_3577),
% 59.09/9.97    inference(avatar_split_clause,[],[f106121,f115634])).
% 59.09/9.97  tff(f115634,plain,(
% 59.09/9.97    spl2737_3577 <=> ! [X2 : int] : (~pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X2),zero_zero(int))) | zero_zero(int) = X2)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3577])])).
% 59.09/9.97  tff(f106121,plain,(
% 59.09/9.97    ( ! [X2 : int] : (~pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X2),zero_zero(int))) | zero_zero(int) = X2) )),
% 59.09/9.97    inference(forward_demodulation,[],[f62382,f50171])).
% 59.09/9.97  tff(f62382,plain,(
% 59.09/9.97    ( ! [X2 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),zero_zero(int)),X2)) | zero_zero(int) = X2) )),
% 59.09/9.97    inference(forward_demodulation,[],[f62381,f35961])).
% 59.09/9.97  tff(f35961,plain,(
% 59.09/9.97    ( ! [X0 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10124])).
% 59.09/9.97  tff(f10124,plain,(
% 59.09/9.97    ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int))),
% 59.09/9.97    inference(rectify,[],[f1064])).
% 59.09/9.97  tff(f1064,axiom,(
% 59.09/9.97    ! [X18 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X18),zero_zero(int))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1063_times__int__code_I1_J)).
% 59.09/9.97  tff(f62381,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int))),X2)) | zero_zero(int) = X2) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53694,f52527])).
% 59.09/9.97  tff(f52527,plain,(
% 59.09/9.97    zero_zero(int) = aa(int,int,sgn_sgn(int),zero_zero(int))),
% 59.09/9.97    inference(equality_resolution,[],[f36344])).
% 59.09/9.97  tff(f36344,plain,(
% 59.09/9.97    ( ! [X0 : int] : (zero_zero(int) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) != X0) )),
% 59.09/9.97    inference(cnf_transformation,[],[f18399])).
% 59.09/9.97  tff(f18399,plain,(
% 59.09/9.97    ! [X0 : int] : ((((aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,sgn_sgn(int),X0) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0))) & (one_one(int) = aa(int,int,sgn_sgn(int),X0) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)))) | zero_zero(int) = X0) & (zero_zero(int) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) != X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f10493])).
% 59.09/9.97  tff(f10493,plain,(
% 59.09/9.97    ! [X0 : int] : ((zero_zero(int) != X0 => ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)) => aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,sgn_sgn(int),X0)) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)) => one_one(int) = aa(int,int,sgn_sgn(int),X0)))) & (zero_zero(int) = X0 => zero_zero(int) = aa(int,int,sgn_sgn(int),X0)))),
% 59.09/9.97    inference(rectify,[],[f1998])).
% 59.09/9.97  tff(f1998,axiom,(
% 59.09/9.97    ! [X23 : int] : ((zero_zero(int) != X23 => ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X23)) => aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,sgn_sgn(int),X23)) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X23)) => one_one(int) = aa(int,int,sgn_sgn(int),X23)))) & (zero_zero(int) = X23 => zero_zero(int) = aa(int,int,sgn_sgn(int),X23)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1997_zsgn__def)).
% 59.09/9.97  tff(f53694,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int] : (zero_zero(int) = X2 | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),zero_zero(int)))),X2))) )),
% 59.09/9.97    inference(equality_resolution,[],[f48858])).
% 59.09/9.97  tff(f48858,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (zero_zero(int) = X2 | zero_zero(int) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1))),X2))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33600])).
% 59.09/9.97  tff(f33600,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1))),X2)) | (zero_zero(int) != X2 & zero_zero(int) = X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2))) & (((zero_zero(int) = X2 | zero_zero(int) != X1) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1))),X2))))),
% 59.09/9.97    inference(flattening,[],[f33599])).
% 59.09/9.97  tff(f33599,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1))),X2)) | ((zero_zero(int) != X2 & zero_zero(int) = X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)))) & (((zero_zero(int) = X2 | zero_zero(int) != X1) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1))),X2))))),
% 59.09/9.97    inference(nnf_transformation,[],[f26309])).
% 59.09/9.97  tff(f26309,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1))),X2)) <=> ((zero_zero(int) = X2 | zero_zero(int) != X1) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2))))),
% 59.09/9.97    inference(ennf_transformation,[],[f17565])).
% 59.09/9.97  tff(f17565,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),aa(int,int,sgn_sgn(int),X1))),X2)) <=> ((zero_zero(int) = X1 => zero_zero(int) = X2) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2))))),
% 59.09/9.97    inference(rectify,[],[f2726])).
% 59.09/9.97  tff(f2726,axiom,(
% 59.09/9.97    ! [X51 : int,X116 : int,X18 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),aa(int,int,aa(int,fun(int,int),times_times(int),X51),aa(int,int,sgn_sgn(int),X116))),X18)) <=> ((zero_zero(int) = X116 => zero_zero(int) = X18) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X51),X18))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2725_mult__sgn__dvd__iff)).
% 59.09/9.97  tff(f115632,plain,(
% 59.09/9.97    spl2737_3576),
% 59.09/9.97    inference(avatar_split_clause,[],[f105660,f115630])).
% 59.09/9.97  tff(f105660,plain,(
% 59.09/9.97    ( ! [X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),zero_zero(int)),X1)) | sP360(size_num(one2),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60407,f50171])).
% 59.09/9.97  tff(f60407,plain,(
% 59.09/9.97    ( ! [X1 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),zero_zero(int))) | sP360(size_num(one2),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60406,f54057])).
% 59.09/9.97  tff(f54057,plain,(
% 59.09/9.97    zero_zero(int) = aa(nat,int,code_T6385005292777649522of_nat,size_num(one2))),
% 59.09/9.97    inference(forward_demodulation,[],[f54056,f35405])).
% 59.09/9.97  tff(f54056,plain,(
% 59.09/9.97    zero_zero(int) = aa(nat,int,semiring_1_of_nat(int),size_num(one2))),
% 59.09/9.97    inference(forward_demodulation,[],[f35484,f35397])).
% 59.09/9.97  tff(f35484,plain,(
% 59.09/9.97    zero_zero(int) = aa(nat,int,semiring_1_of_nat(int),zero_zero(nat))),
% 59.09/9.97    inference(cnf_transformation,[],[f263])).
% 59.09/9.97  tff(f263,axiom,(
% 59.09/9.97    zero_zero(int) = aa(nat,int,semiring_1_of_nat(int),zero_zero(nat))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_int__ops_I1_J)).
% 59.09/9.97  tff(f60406,plain,(
% 59.09/9.97    ( ! [X1 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),aa(nat,int,code_T6385005292777649522of_nat,size_num(one2)))) | sP360(size_num(one2),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60405,f35405])).
% 59.09/9.97  tff(f60405,plain,(
% 59.09/9.97    ( ! [X1 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),aa(nat,int,semiring_1_of_nat(int),size_num(one2)))) | sP360(size_num(one2),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60404,f35397])).
% 59.09/9.97  tff(f60404,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP360(size_num(one2),X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),aa(nat,int,semiring_1_of_nat(int),zero_zero(nat))))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53422,f35397])).
% 59.09/9.97  tff(f53422,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP360(zero_zero(nat),X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),aa(nat,int,semiring_1_of_nat(int),zero_zero(nat))))) )),
% 59.09/9.97    inference(equality_resolution,[],[f46775])).
% 59.09/9.97  tff(f46775,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (sP360(X0,X1) | zero_zero(nat) != X0 | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),aa(nat,int,semiring_1_of_nat(int),X0)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32288])).
% 59.09/9.97  tff(f32288,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : ((sP360(X0,X1) | (zero_zero(nat) != X0 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),aa(nat,int,semiring_1_of_nat(int),X0))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) & (((zero_zero(nat) = X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) & (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),aa(nat,int,semiring_1_of_nat(int),X0))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP360(X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f32287])).
% 59.09/9.97  tff(f32287,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : int] : ((sP360(X1,X0) | (zero_zero(nat) != X1 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(nat,int,semiring_1_of_nat(int),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) & (((zero_zero(nat) = X1 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(nat,int,semiring_1_of_nat(int),X1))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) | ~sP360(X1,X0)))),
% 59.09/9.97    inference(flattening,[],[f32286])).
% 59.09/9.97  tff(f32286,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : int] : ((sP360(X1,X0) | ((zero_zero(nat) != X1 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(nat,int,semiring_1_of_nat(int),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))))) & (((zero_zero(nat) = X1 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(nat,int,semiring_1_of_nat(int),X1))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) | ~sP360(X1,X0)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27632])).
% 59.09/9.97  tff(f27632,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : int] : (sP360(X1,X0) <=> ((zero_zero(nat) = X1 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(nat,int,semiring_1_of_nat(int),X1))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP360])])).
% 59.09/9.97  tff(f115628,plain,(
% 59.09/9.97    spl2737_3575),
% 59.09/9.97    inference(avatar_split_clause,[],[f104508,f115626])).
% 59.09/9.97  tff(f115626,plain,(
% 59.09/9.97    spl2737_3575 <=> ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),size_num(one2)),X0)) | size_num(one2) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3575])])).
% 59.09/9.97  tff(f104508,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),size_num(one2)),X0)) | size_num(one2) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f56577,f50171])).
% 59.09/9.97  tff(f56577,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),size_num(one2))) | size_num(one2) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f56576,f35397])).
% 59.09/9.97  tff(f56576,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (size_num(one2) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),zero_zero(nat)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f42617,f35397])).
% 59.09/9.97  tff(f42617,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),zero_zero(nat)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f22816])).
% 59.09/9.97  tff(f22816,plain,(
% 59.09/9.97    ! [X0 : nat] : (zero_zero(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),zero_zero(nat))))),
% 59.09/9.97    inference(ennf_transformation,[],[f14122])).
% 59.09/9.97  tff(f14122,plain,(
% 59.09/9.97    ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),zero_zero(nat))) => zero_zero(nat) = X0)),
% 59.09/9.97    inference(rectify,[],[f603])).
% 59.09/9.97  tff(f603,axiom,(
% 59.09/9.97    ! [X7 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),zero_zero(nat))) => zero_zero(nat) = X7)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_602_bot__nat__0_Oextremum__uniqueI)).
% 59.09/9.97  tff(f115624,plain,(
% 59.09/9.97    spl2737_3574),
% 59.09/9.97    inference(avatar_split_clause,[],[f104507,f115622])).
% 59.09/9.97  tff(f115622,plain,(
% 59.09/9.97    spl2737_3574 <=> ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),one_one(nat)),X0)) | size_num(one2) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3574])])).
% 59.09/9.97  tff(f104507,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),one_one(nat)),X0)) | size_num(one2) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f57317,f50171])).
% 59.09/9.97  tff(f57317,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (size_num(one2) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),one_one(nat)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f43415,f35397])).
% 59.09/9.97  tff(f43415,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),one_one(nat)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f30676])).
% 59.09/9.97  tff(f30676,plain,(
% 59.09/9.97    ! [X0 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),one_one(nat))) | zero_zero(nat) != X0) & (zero_zero(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),one_one(nat)))))),
% 59.09/9.97    inference(nnf_transformation,[],[f14653])).
% 59.09/9.97  tff(f14653,plain,(
% 59.09/9.97    ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),one_one(nat))) <=> zero_zero(nat) = X0)),
% 59.09/9.97    inference(rectify,[],[f331])).
% 59.09/9.97  tff(f331,axiom,(
% 59.09/9.97    ! [X8 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),one_one(nat))) <=> zero_zero(nat) = X8)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_330_less__one)).
% 59.09/9.97  tff(f115620,plain,(
% 59.09/9.97    spl2737_3573),
% 59.09/9.97    inference(avatar_split_clause,[],[f103668,f115618])).
% 59.09/9.97  tff(f115618,plain,(
% 59.09/9.97    spl2737_3573 <=> ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),size_num(one2))) | size_num(one2) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3573])])).
% 59.09/9.97  tff(f103668,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),size_num(one2))) | size_num(one2) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f56579,f50171])).
% 59.09/9.97  tff(f56579,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),size_num(one2)),X0)) | size_num(one2) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f56578,f35397])).
% 59.09/9.97  tff(f56578,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (size_num(one2) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X0))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f42618,f35397])).
% 59.09/9.97  tff(f42618,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X0))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f22817])).
% 59.09/9.97  tff(f22817,plain,(
% 59.09/9.97    ! [X0 : nat] : (zero_zero(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X0)))),
% 59.09/9.97    inference(ennf_transformation,[],[f14123])).
% 59.09/9.97  tff(f14123,plain,(
% 59.09/9.97    ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X0)) => zero_zero(nat) = X0)),
% 59.09/9.97    inference(rectify,[],[f2829])).
% 59.09/9.97  tff(f2829,axiom,(
% 59.09/9.97    ! [X7 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X7)) => zero_zero(nat) = X7)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2828_gcd__nat_Oextremum__uniqueI)).
% 59.09/9.97  tff(f115616,plain,(
% 59.09/9.97    spl2737_3572),
% 59.09/9.97    inference(avatar_split_clause,[],[f103302,f115614])).
% 59.09/9.97  tff(f115614,plain,(
% 59.09/9.97    spl2737_3572 <=> ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),size_num(one2))) | vEBT_invar_vebt(vEBT_vebt_buildup(X0),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3572])])).
% 59.09/9.97  tff(f103302,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),size_num(one2))) | vEBT_invar_vebt(vEBT_vebt_buildup(X0),X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f56580,f50171])).
% 59.09/9.97  tff(f56580,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),X0)) | vEBT_invar_vebt(vEBT_vebt_buildup(X0),X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f42620,f35397])).
% 59.09/9.97  tff(f42620,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (vEBT_invar_vebt(vEBT_vebt_buildup(X0),X0) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X0))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f22819])).
% 59.09/9.97  tff(f22819,plain,(
% 59.09/9.97    ! [X0 : nat] : (vEBT_invar_vebt(vEBT_vebt_buildup(X0),X0) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X0)))),
% 59.09/9.97    inference(ennf_transformation,[],[f14125])).
% 59.09/9.97  tff(f14125,plain,(
% 59.09/9.97    ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X0)) => vEBT_invar_vebt(vEBT_vebt_buildup(X0),X0))),
% 59.09/9.97    inference(rectify,[],[f235])).
% 59.09/9.97  tff(f235,axiom,(
% 59.09/9.97    ! [X8 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X8)) => vEBT_invar_vebt(vEBT_vebt_buildup(X8),X8))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_buildup__gives__valid)).
% 59.09/9.97  tff(f115612,plain,(
% 59.09/9.97    spl2737_3571),
% 59.09/9.97    inference(avatar_split_clause,[],[f93641,f115610])).
% 59.09/9.97  tff(f93641,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),size_num(one2))) | size_num(one2) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f56386,f50171])).
% 59.09/9.97  tff(f56386,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (size_num(one2) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),X0))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f56385,f35397])).
% 59.09/9.97  tff(f56385,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),X0)) | zero_zero(nat) = X0) )),
% 59.09/9.97    inference(forward_demodulation,[],[f42487,f35397])).
% 59.09/9.97  tff(f42487,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X0)) | zero_zero(nat) = X0) )),
% 59.09/9.97    inference(cnf_transformation,[],[f22673])).
% 59.09/9.97  tff(f22673,plain,(
% 59.09/9.97    ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X0)) | zero_zero(nat) = X0)),
% 59.09/9.97    inference(ennf_transformation,[],[f14014])).
% 59.09/9.97  tff(f14014,plain,(
% 59.09/9.97    ! [X0 : nat] : (zero_zero(nat) != X0 => pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X0)))),
% 59.09/9.97    inference(rectify,[],[f7])).
% 59.09/9.97  tff(f7,axiom,(
% 59.09/9.97    ! [X8 : nat] : (zero_zero(nat) != X8 => pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X8)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_gr0I)).
% 59.09/9.97  tff(f115608,plain,(
% 59.09/9.97    spl2737_3570),
% 59.09/9.97    inference(avatar_split_clause,[],[f93484,f115606])).
% 59.09/9.97  tff(f115606,plain,(
% 59.09/9.97    spl2737_3570 <=> ! [X0 : nat] : pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),aa(nat,int,code_T6385005292777649522of_nat,X0)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3570])])).
% 59.09/9.97  tff(f93484,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),aa(nat,int,code_T6385005292777649522of_nat,X0)),zero_zero(int)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60188,f50171])).
% 59.09/9.97  tff(f60188,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),aa(nat,int,code_T6385005292777649522of_nat,X0)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53336,f35405])).
% 59.09/9.97  tff(f53336,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),aa(nat,int,semiring_1_of_nat(int),X0)))) )),
% 59.09/9.97    inference(equality_resolution,[],[f46413])).
% 59.09/9.97  tff(f46413,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | aa(nat,int,semiring_1_of_nat(int),X0) != X1) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32061])).
% 59.09/9.97  tff(f32061,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : ((aa(nat,int,semiring_1_of_nat(int),X0) = X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | aa(int,nat,nat2,X1) != X0) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & aa(int,nat,nat2,X1) = X0) | aa(nat,int,semiring_1_of_nat(int),X0) != X1))),
% 59.09/9.97    inference(flattening,[],[f32060])).
% 59.09/9.97  tff(f32060,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : ((aa(nat,int,semiring_1_of_nat(int),X0) = X1 | (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | aa(int,nat,nat2,X1) != X0)) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & aa(int,nat,nat2,X1) = X0) | aa(nat,int,semiring_1_of_nat(int),X0) != X1))),
% 59.09/9.97    inference(nnf_transformation,[],[f16479])).
% 59.09/9.97  tff(f16479,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : (aa(nat,int,semiring_1_of_nat(int),X0) = X1 <=> (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & aa(int,nat,nat2,X1) = X0))),
% 59.09/9.97    inference(rectify,[],[f729])).
% 59.09/9.97  tff(f729,axiom,(
% 59.09/9.97    ! [X9 : nat,X60 : int] : (aa(nat,int,semiring_1_of_nat(int),X9) = X60 <=> (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X60)) & aa(int,nat,nat2,X60) = X9))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_728_int__eq__iff)).
% 59.09/9.97  tff(f115604,plain,(
% 59.09/9.97    spl2737_3569),
% 59.09/9.97    inference(avatar_split_clause,[],[f93481,f115602])).
% 59.09/9.97  tff(f115602,plain,(
% 59.09/9.97    spl2737_3569 <=> ! [X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP360(size_num(one2),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3569])])).
% 59.09/9.97  tff(f93481,plain,(
% 59.09/9.97    ( ! [X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP360(size_num(one2),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60408,f50171])).
% 59.09/9.97  tff(f60408,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP360(size_num(one2),X1) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53423,f35397])).
% 59.09/9.97  tff(f53423,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP360(zero_zero(nat),X1) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(equality_resolution,[],[f46774])).
% 59.09/9.97  tff(f46774,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (sP360(X0,X1) | zero_zero(nat) != X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32288])).
% 59.09/9.97  tff(f115600,plain,(
% 59.09/9.97    spl2737_3568),
% 59.09/9.97    inference(avatar_split_clause,[],[f93480,f115598])).
% 59.09/9.97  tff(f115598,plain,(
% 59.09/9.97    spl2737_3568 <=> ! [X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP354(size_num(one2),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3568])])).
% 59.09/9.97  tff(f93480,plain,(
% 59.09/9.97    ( ! [X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP354(size_num(one2),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60174,f50171])).
% 59.09/9.97  tff(f60174,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP354(size_num(one2),X1) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53332,f35397])).
% 59.09/9.97  tff(f53332,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP354(zero_zero(nat),X1) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(equality_resolution,[],[f46401])).
% 59.09/9.97  tff(f46401,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (sP354(X0,X1) | zero_zero(nat) != X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32052])).
% 59.09/9.97  tff(f32052,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : ((sP354(X0,X1) | (zero_zero(nat) != X0 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | (aa(nat,int,semiring_1_of_nat(int),X0) != X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) & (((zero_zero(nat) = X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) & (aa(nat,int,semiring_1_of_nat(int),X0) = X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP354(X0,X1)))),
% 59.09/9.97    inference(flattening,[],[f32051])).
% 59.09/9.97  tff(f32051,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : ((sP354(X0,X1) | ((zero_zero(nat) != X0 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | (aa(nat,int,semiring_1_of_nat(int),X0) != X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))))) & (((zero_zero(nat) = X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) & (aa(nat,int,semiring_1_of_nat(int),X0) = X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP354(X0,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27620])).
% 59.09/9.97  tff(f27620,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : (sP354(X0,X1) <=> ((zero_zero(nat) = X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) & (aa(nat,int,semiring_1_of_nat(int),X0) = X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP354])])).
% 59.09/9.97  tff(f115596,plain,(
% 59.09/9.97    spl2737_3567),
% 59.09/9.97    inference(avatar_split_clause,[],[f93479,f115594])).
% 59.09/9.97  tff(f115594,plain,(
% 59.09/9.97    spl2737_3567 <=> ! [X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP353(size_num(one2),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3567])])).
% 59.09/9.97  tff(f93479,plain,(
% 59.09/9.97    ( ! [X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP353(size_num(one2),X1)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f60166,f50171])).
% 59.09/9.97  tff(f60166,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP353(size_num(one2),X1) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53327,f35397])).
% 59.09/9.97  tff(f53327,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP353(zero_zero(nat),X1) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(equality_resolution,[],[f46393])).
% 59.09/9.97  tff(f46393,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (sP353(X0,X1) | zero_zero(nat) != X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32049])).
% 59.09/9.97  tff(f32049,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : int] : ((sP353(X0,X1) | (zero_zero(nat) != X0 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | (aa(nat,int,semiring_1_of_nat(int),X0) != X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) & (((zero_zero(nat) = X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) & (aa(nat,int,semiring_1_of_nat(int),X0) = X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP353(X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f32048])).
% 59.09/9.97  tff(f32048,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : int] : ((sP353(X1,X0) | (zero_zero(nat) != X1 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | (aa(nat,int,semiring_1_of_nat(int),X1) != X0 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) & (((zero_zero(nat) = X1 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & (aa(nat,int,semiring_1_of_nat(int),X1) = X0 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) | ~sP353(X1,X0)))),
% 59.09/9.97    inference(flattening,[],[f32047])).
% 59.09/9.97  tff(f32047,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : int] : ((sP353(X1,X0) | ((zero_zero(nat) != X1 & ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | (aa(nat,int,semiring_1_of_nat(int),X1) != X0 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))))) & (((zero_zero(nat) = X1 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & (aa(nat,int,semiring_1_of_nat(int),X1) = X0 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) | ~sP353(X1,X0)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27618])).
% 59.09/9.97  tff(f27618,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : int] : (sP353(X1,X0) <=> ((zero_zero(nat) = X1 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & (aa(nat,int,semiring_1_of_nat(int),X1) = X0 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP353])])).
% 59.09/9.97  tff(f115592,plain,(
% 59.09/9.97    spl2737_3566),
% 59.09/9.97    inference(avatar_split_clause,[],[f93200,f115590])).
% 59.09/9.97  tff(f115590,plain,(
% 59.09/9.97    spl2737_3566 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(nat,nat,suc,X0)),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3566])])).
% 59.09/9.97  tff(f93200,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(nat,nat,suc,X0)),size_num(one2)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f54339,f50171])).
% 59.09/9.97  tff(f54339,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),aa(nat,nat,suc,X0)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36028,f35397])).
% 59.09/9.97  tff(f36028,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(nat,nat,suc,X0)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10188])).
% 59.09/9.97  tff(f10188,plain,(
% 59.09/9.97    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(nat,nat,suc,X0)))),
% 59.09/9.97    inference(rectify,[],[f17])).
% 59.09/9.97  tff(f17,axiom,(
% 59.09/9.97    ! [X8 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(nat,nat,suc,X8)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_zero__less__Suc)).
% 59.09/9.97  tff(f115588,plain,(
% 59.09/9.97    spl2737_3565),
% 59.09/9.97    inference(avatar_split_clause,[],[f93199,f115586])).
% 59.09/9.97  tff(f115586,plain,(
% 59.09/9.97    spl2737_3565 <=> ! [X0 : num] : pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(num,nat,nat_of_num,X0)),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3565])])).
% 59.09/9.97  tff(f93199,plain,(
% 59.09/9.97    ( ! [X0 : num] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(num,nat,nat_of_num,X0)),size_num(one2)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f54338,f50171])).
% 59.09/9.97  tff(f54338,plain,(
% 59.09/9.97    ( ! [X0 : num] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),aa(num,nat,nat_of_num,X0)))) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36027,f35397])).
% 59.09/9.97  tff(f36027,plain,(
% 59.09/9.97    ( ! [X0 : num] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(num,nat,nat_of_num,X0)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10187])).
% 59.09/9.97  tff(f10187,plain,(
% 59.09/9.97    ! [X0 : num] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(num,nat,nat_of_num,X0)))),
% 59.09/9.97    inference(rectify,[],[f7782])).
% 59.09/9.97  tff(f7782,axiom,(
% 59.09/9.97    ! [X14 : num] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(num,nat,nat_of_num,X14)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7781_nat__of__num__pos)).
% 59.09/9.97  tff(f115584,plain,(
% 59.09/9.97    spl2737_3564),
% 59.09/9.97    inference(avatar_split_clause,[],[f93192,f115582])).
% 59.09/9.97  tff(f93192,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : fun(real,bool),X1 : real] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X2),size_num(one2))) | sP478(X0,X1,X2)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f62213,f50171])).
% 59.09/9.97  tff(f62213,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : fun(real,bool),X1 : real] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),X2)) | sP478(X0,X1,X2)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f48575,f35397])).
% 59.09/9.97  tff(f48575,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : fun(real,bool),X1 : real] : (sP478(X0,X1,X2) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33385])).
% 59.09/9.97  tff(f33385,plain,(
% 59.09/9.97    ! [X0 : fun(real,bool),X1 : real,X2 : nat] : ((sP478(X0,X1,X2) | ((~pp(aa(real,bool,X0,sK2400(X0,X1,X2))) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),sK2400(X0,X1,X2))),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),sK2400(X0,X1,X2))),X2)) = X1) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))) & (! [X4 : real] : (pp(aa(real,bool,X0,X4)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X4)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X4)),X2)) != X1) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)) | ~sP478(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2400])],[f33383,f33384])).
% 59.09/9.97  tff(f33384,plain,(
% 59.09/9.97    ! [X0 : fun(real,bool),X1 : real,X2 : nat] : (? [X3 : real] : (~pp(aa(real,bool,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X2)) = X1) => (~pp(aa(real,bool,X0,sK2400(X0,X1,X2))) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),sK2400(X0,X1,X2))),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),sK2400(X0,X1,X2))),X2)) = X1))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33383,plain,(
% 59.09/9.97    ! [X0 : fun(real,bool),X1 : real,X2 : nat] : ((sP478(X0,X1,X2) | (? [X3 : real] : (~pp(aa(real,bool,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X2)) = X1) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))) & (! [X4 : real] : (pp(aa(real,bool,X0,X4)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X4)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X4)),X2)) != X1) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)) | ~sP478(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33382])).
% 59.09/9.97  tff(f33382,plain,(
% 59.09/9.97    ! [X0 : fun(real,bool),X2 : real,X1 : nat] : ((sP478(X0,X2,X1) | (? [X3 : real] : (~pp(aa(real,bool,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) = X2) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))) & (! [X3 : real] : (pp(aa(real,bool,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)) | ~sP478(X0,X2,X1)))),
% 59.09/9.97    inference(flattening,[],[f33381])).
% 59.09/9.97  tff(f33381,plain,(
% 59.09/9.97    ! [X0 : fun(real,bool),X2 : real,X1 : nat] : ((sP478(X0,X2,X1) | (? [X3 : real] : (~pp(aa(real,bool,X0,X3)) & aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) = X2) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))) & ((! [X3 : real] : (pp(aa(real,bool,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))) | ~sP478(X0,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27797])).
% 59.09/9.97  tff(f27797,plain,(
% 59.09/9.97    ! [X0 : fun(real,bool),X2 : real,X1 : nat] : (sP478(X0,X2,X1) <=> (! [X3 : real] : (pp(aa(real,bool,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP478])])).
% 59.09/9.97  tff(f115580,plain,(
% 59.09/9.97    spl2737_3563),
% 59.09/9.97    inference(avatar_split_clause,[],[f92701,f115578])).
% 59.09/9.97  tff(f115578,plain,(
% 59.09/9.97    spl2737_3563 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),real_Vector_Reals(X0)),zero_zero(X0))) | ~real_V2191834092415804123ebra_1(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3563])])).
% 59.09/9.97  tff(f92701,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),real_Vector_Reals(X0)),zero_zero(X0))) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36694,f50171])).
% 59.09/9.97  tff(f36694,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),real_Vector_Reals(X0))) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f18625])).
% 59.09/9.97  tff(f18625,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),real_Vector_Reals(X0))) | ~real_V2191834092415804123ebra_1(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f4754])).
% 59.09/9.97  tff(f4754,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),real_Vector_Reals(X0))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4753_Reals__0)).
% 59.09/9.97  tff(f115576,plain,(
% 59.09/9.97    spl2737_3562),
% 59.09/9.97    inference(avatar_split_clause,[],[f92700,f115574])).
% 59.09/9.97  tff(f115574,plain,(
% 59.09/9.97    spl2737_3562 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),field_char_0_Rats(X0)),zero_zero(X0))) | ~field_char_0(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3562])])).
% 59.09/9.97  tff(f92700,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),field_char_0_Rats(X0)),zero_zero(X0))) | ~field_char_0(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f38724,f50171])).
% 59.09/9.97  tff(f38724,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),field_char_0_Rats(X0))) | ~field_char_0(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f19955])).
% 59.09/9.97  tff(f19955,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),field_char_0_Rats(X0))) | ~field_char_0(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f5345])).
% 59.09/9.97  tff(f5345,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (field_char_0(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),field_char_0_Rats(X0))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5344_Rats__0)).
% 59.09/9.97  tff(f115572,plain,(
% 59.09/9.97    spl2737_3561),
% 59.09/9.97    inference(avatar_split_clause,[],[f92699,f115570])).
% 59.09/9.97  tff(f115570,plain,(
% 59.09/9.97    spl2737_3561 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),semiring_1_Nats(X0)),zero_zero(X0))) | ~semiring_1(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3561])])).
% 59.09/9.97  tff(f92699,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),semiring_1_Nats(X0)),zero_zero(X0))) | ~semiring_1(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f41495,f50171])).
% 59.09/9.97  tff(f41495,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),semiring_1_Nats(X0))) | ~semiring_1(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f21947])).
% 59.09/9.97  tff(f21947,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),semiring_1_Nats(X0))) | ~semiring_1(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f5378])).
% 59.09/9.97  tff(f5378,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (semiring_1(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),semiring_1_Nats(X0))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5377_Nats__0)).
% 59.09/9.97  tff(f115568,plain,(
% 59.09/9.97    spl2737_3560),
% 59.09/9.97    inference(avatar_split_clause,[],[f92698,f115566])).
% 59.09/9.97  tff(f115566,plain,(
% 59.09/9.97    spl2737_3560 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),ring_1_Ints(X0)),zero_zero(X0))) | ~ring_1(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3560])])).
% 59.09/9.97  tff(f92698,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),ring_1_Ints(X0)),zero_zero(X0))) | ~ring_1(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f40720,f50171])).
% 59.09/9.97  tff(f40720,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),ring_1_Ints(X0))) | ~ring_1(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f21252])).
% 59.09/9.97  tff(f21252,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),ring_1_Ints(X0))) | ~ring_1(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f1468])).
% 59.09/9.97  tff(f1468,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (ring_1(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),ring_1_Ints(X0))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1467_Ints__0)).
% 59.09/9.97  tff(f115564,plain,(
% 59.09/9.97    spl2737_3559),
% 59.09/9.97    inference(avatar_split_clause,[],[f92696,f115562])).
% 59.09/9.97  tff(f115562,plain,(
% 59.09/9.97    spl2737_3559 <=> ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),zero_zero(X1))) | ~sP17(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3559])])).
% 59.09/9.97  tff(f92696,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(X1,bool,combc(X1,set(X1),bool,member(X1),X0),zero_zero(X1))) | ~sP17(X1,X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f37108,f50171])).
% 59.09/9.97  tff(f37108,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : set(X1)] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),zero_zero(X1)),X0)) | ~sP17(X1,X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28266])).
% 59.09/9.97  tff(f28266,plain,(
% 59.09/9.97    ! [X0 : set(X1),X1 : $tType] : ((sP17(X1,X0) | (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),real_V8093663219630862766scaleR(X1,sK668(X1,X0),sK669(X1,X0))),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK669(X1,X0)),X0))) | ~sP16(X1,X0) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),zero_zero(X1)),X0))) & ((! [X4 : real,X5 : X1] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),real_V8093663219630862766scaleR(X1,X4,X5)),X0)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X0))) & sP16(X1,X0) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),zero_zero(X1)),X0))) | ~sP17(X1,X0)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK668,sK669])],[f28264,f28265])).
% 59.09/9.97  tff(f28265,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : set(X1)] : (? [X2 : real,X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),real_V8093663219630862766scaleR(X1,X2,X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0))) => (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),real_V8093663219630862766scaleR(X1,sK668(X1,X0),sK669(X1,X0))),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK669(X1,X0)),X0))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f28264,plain,(
% 59.09/9.97    ! [X0 : set(X1),X1 : $tType] : ((sP17(X1,X0) | ? [X2 : real,X3 : X1] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),real_V8093663219630862766scaleR(X1,X2,X3)),X0)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X0))) | ~sP16(X1,X0) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),zero_zero(X1)),X0))) & ((! [X4 : real,X5 : X1] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),real_V8093663219630862766scaleR(X1,X4,X5)),X0)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X0))) & sP16(X1,X0) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),zero_zero(X1)),X0))) | ~sP17(X1,X0)))),
% 59.09/9.97    inference(rectify,[],[f28263])).
% 59.09/9.97  tff(f28263,plain,(
% 59.09/9.97    ! [X1 : set(X0),X0 : $tType] : ((sP17(X0,X1) | ? [X2 : real,X3 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X2,X3)),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) | ~sP16(X0,X1) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X1))) & ((! [X2 : real,X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X2,X3)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & sP16(X0,X1) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X1))) | ~sP17(X0,X1)))),
% 59.09/9.97    inference(flattening,[],[f28262])).
% 59.09/9.97  tff(f28262,plain,(
% 59.09/9.97    ! [X1 : set(X0),X0 : $tType] : ((sP17(X0,X1) | (? [X2 : real,X3 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X2,X3)),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) | ~sP16(X0,X1) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X1)))) & ((! [X2 : real,X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X2,X3)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & sP16(X0,X1) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X1))) | ~sP17(X0,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27117])).
% 59.09/9.97  tff(f27117,plain,(
% 59.09/9.97    ! [X1 : set(X0),X0 : $tType] : (sP17(X0,X1) <=> (! [X2 : real,X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X2,X3)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & sP16(X0,X1) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X1))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])])).
% 59.09/9.97  tff(f115560,plain,(
% 59.09/9.97    spl2737_3558),
% 59.09/9.97    inference(avatar_split_clause,[],[f92695,f115558])).
% 59.09/9.97  tff(f115558,plain,(
% 59.09/9.97    spl2737_3558 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),real_Vector_Reals(X0)),one_one(X0))) | ~real_V2191834092415804123ebra_1(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3558])])).
% 59.09/9.97  tff(f92695,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),real_Vector_Reals(X0)),one_one(X0))) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f36693,f50171])).
% 59.09/9.97  tff(f36693,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),real_Vector_Reals(X0))) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f18624])).
% 59.09/9.97  tff(f18624,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),real_Vector_Reals(X0))) | ~real_V2191834092415804123ebra_1(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f10692])).
% 59.09/9.97  tff(f10692,plain,(
% 59.09/9.97    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),real_Vector_Reals(X0))))),
% 59.09/9.97    inference(rectify,[],[f4757])).
% 59.09/9.97  tff(f4757,axiom,(
% 59.09/9.97    ! [X1 : $tType] : (real_V2191834092415804123ebra_1(X1) => pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),one_one(X1)),real_Vector_Reals(X1))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4756_Reals__1)).
% 59.09/9.97  tff(f115556,plain,(
% 59.09/9.97    spl2737_3557),
% 59.09/9.97    inference(avatar_split_clause,[],[f92694,f115554])).
% 59.09/9.97  tff(f115554,plain,(
% 59.09/9.97    spl2737_3557 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),field_char_0_Rats(X0)),one_one(X0))) | ~field_char_0(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3557])])).
% 59.09/9.97  tff(f92694,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),field_char_0_Rats(X0)),one_one(X0))) | ~field_char_0(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f38723,f50171])).
% 59.09/9.97  tff(f38723,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),field_char_0_Rats(X0))) | ~field_char_0(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f19954])).
% 59.09/9.97  tff(f19954,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),field_char_0_Rats(X0))) | ~field_char_0(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f5347])).
% 59.09/9.97  tff(f5347,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (field_char_0(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),field_char_0_Rats(X0))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5346_Rats__1)).
% 59.09/9.97  tff(f115552,plain,(
% 59.09/9.97    spl2737_3556),
% 59.09/9.97    inference(avatar_split_clause,[],[f92693,f115550])).
% 59.09/9.97  tff(f115550,plain,(
% 59.09/9.97    spl2737_3556 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),semiring_1_Nats(X0)),one_one(X0))) | ~semiring_1(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3556])])).
% 59.09/9.97  tff(f92693,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),semiring_1_Nats(X0)),one_one(X0))) | ~semiring_1(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f41494,f50171])).
% 59.09/9.97  tff(f41494,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),semiring_1_Nats(X0))) | ~semiring_1(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f21946])).
% 59.09/9.97  tff(f21946,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),semiring_1_Nats(X0))) | ~semiring_1(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f5376])).
% 59.09/9.97  tff(f5376,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (semiring_1(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),semiring_1_Nats(X0))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5375_Nats__1)).
% 59.09/9.97  tff(f115548,plain,(
% 59.09/9.97    spl2737_3555),
% 59.09/9.97    inference(avatar_split_clause,[],[f92692,f115546])).
% 59.09/9.97  tff(f115546,plain,(
% 59.09/9.97    spl2737_3555 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),ring_1_Ints(X0)),one_one(X0))) | ~ring_1(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3555])])).
% 59.09/9.97  tff(f92692,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,set(X0),bool,member(X0),ring_1_Ints(X0)),one_one(X0))) | ~ring_1(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f40719,f50171])).
% 59.09/9.97  tff(f40719,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),ring_1_Ints(X0))) | ~ring_1(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f21251])).
% 59.09/9.97  tff(f21251,plain,(
% 59.09/9.97    ! [X0 : $tType] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),ring_1_Ints(X0))) | ~ring_1(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f1470])).
% 59.09/9.97  tff(f1470,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (ring_1(X0) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),one_one(X0)),ring_1_Ints(X0))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1469_Ints__1)).
% 59.09/9.97  tff(f115544,plain,(
% 59.09/9.97    spl2737_3554),
% 59.09/9.97    inference(avatar_split_clause,[],[f92365,f115542])).
% 59.09/9.97  tff(f115542,plain,(
% 59.09/9.97    spl2737_3554 <=> ! [X0 : fun(nat,rat)] : (pp(aa(fun(nat,rat),bool,combs(fun(nat,rat),real,bool,pcr_real,real2),X0)) | ~cauchy(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3554])])).
% 59.09/9.97  tff(f92365,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,rat)] : (pp(aa(fun(nat,rat),bool,combs(fun(nat,rat),real,bool,pcr_real,real2),X0)) | ~cauchy(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f53374,f50172])).
% 59.09/9.97  tff(f50172,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : fun(X2,fun(X1,X0)),X4 : fun(X2,X1),X5 : X2] : (aa(X2,X0,combs(X2,X1,X0,X3,X4),X5) = aa(X1,X0,aa(X2,fun(X1,X0),X3,X5),aa(X2,X1,X4,X5))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f18179])).
% 59.09/9.97  tff(f18179,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : fun(X2,fun(X1,X0)),X4 : fun(X2,X1),X5 : X2] : aa(X2,X0,combs(X2,X1,X0,X3,X4),X5) = aa(X1,X0,aa(X2,fun(X1,X0),X3,X5),aa(X2,X1,X4,X5))),
% 59.09/9.97    inference(rectify,[],[f9880])).
% 59.09/9.97  tff(f9880,axiom,(
% 59.09/9.97    ! [X2 : $tType,X1 : $tType,X0 : $tType,X17 : fun(X0,fun(X1,X2)),X31 : fun(X0,X1),X111 : X0] : aa(X0,X2,combs(X0,X1,X2,X17,X31),X111) = aa(X1,X2,aa(X0,fun(X1,X2),X17,X111),aa(X0,X1,X31,X111))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_U)).
% 59.09/9.97  tff(f53374,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,rat)] : (pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),aa(fun(nat,rat),real,real2,X0))) | ~cauchy(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f46615])).
% 59.09/9.97  tff(f46615,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,rat),X1 : real] : (pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1)) | aa(fun(nat,rat),real,real2,X0) != X1 | ~cauchy(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32198])).
% 59.09/9.97  tff(f32198,plain,(
% 59.09/9.97    ! [X0 : fun(nat,rat),X1 : real] : ((pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1)) | aa(fun(nat,rat),real,real2,X0) != X1 | ~cauchy(X0)) & ((aa(fun(nat,rat),real,real2,X0) = X1 & cauchy(X0)) | ~pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1))))),
% 59.09/9.97    inference(flattening,[],[f32197])).
% 59.09/9.97  tff(f32197,plain,(
% 59.09/9.97    ! [X0 : fun(nat,rat),X1 : real] : ((pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1)) | (aa(fun(nat,rat),real,real2,X0) != X1 | ~cauchy(X0))) & ((aa(fun(nat,rat),real,real2,X0) = X1 & cauchy(X0)) | ~pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1))))),
% 59.09/9.97    inference(nnf_transformation,[],[f16565])).
% 59.09/9.97  tff(f16565,plain,(
% 59.09/9.97    ! [X0 : fun(nat,rat),X1 : real] : (pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1)) <=> (aa(fun(nat,rat),real,real2,X0) = X1 & cauchy(X0)))),
% 59.09/9.97    inference(rectify,[],[f6482])).
% 59.09/9.97  tff(f6482,axiom,(
% 59.09/9.97    ! [X63 : fun(nat,rat),X66 : real] : (pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X63),X66)) <=> (aa(fun(nat,rat),real,real2,X63) = X66 & cauchy(X63)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6481_cr__real__eq)).
% 59.09/9.97  tff(f115540,plain,(
% 59.09/9.97    spl2737_3553 | ~spl2737_572 | ~spl2737_3376),
% 59.09/9.97    inference(avatar_split_clause,[],[f90525,f88715,f67079,f115538])).
% 59.09/9.97  tff(f115538,plain,(
% 59.09/9.97    spl2737_3553 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,real)] : (zero_zero(real) = aa(X0,real,aTP_Lamp_sn(fun(X0,real),fun(X0,real),X1),X2) | ~real_V822414075346904944vector(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3553])])).
% 59.09/9.97  tff(f67079,plain,(
% 59.09/9.97    spl2737_572 <=> mult_zero(real)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_572])])).
% 59.09/9.97  tff(f88715,plain,(
% 59.09/9.97    spl2737_3376 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3376])])).
% 59.09/9.97  tff(f90525,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,real)] : (zero_zero(real) = aa(X0,real,aTP_Lamp_sn(fun(X0,real),fun(X0,real),X1),X2) | ~real_V822414075346904944vector(X0)) ) | (~spl2737_572 | ~spl2737_3376)),
% 59.09/9.97    inference(forward_demodulation,[],[f90524,f88722])).
% 59.09/9.97  tff(f88722,plain,(
% 59.09/9.97    ( ! [X0 : real] : (zero_zero(real) = aa(real,real,combc(real,real,real,times_times(real),zero_zero(real)),X0)) ) | (~spl2737_572 | ~spl2737_3376)),
% 59.09/9.97    inference(resolution,[],[f88716,f67081])).
% 59.09/9.97  tff(f67081,plain,(
% 59.09/9.97    mult_zero(real) | ~spl2737_572),
% 59.09/9.97    inference(avatar_component_clause,[],[f67079])).
% 59.09/9.97  tff(f88716,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (~mult_zero(X0) | zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),zero_zero(X0)),X1)) ) | ~spl2737_3376),
% 59.09/9.97    inference(avatar_component_clause,[],[f88715])).
% 59.09/9.97  tff(f90524,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,real)] : (aa(X0,real,aTP_Lamp_sn(fun(X0,real),fun(X0,real),X1),X2) = aa(real,real,combc(real,real,real,times_times(real),zero_zero(real)),aa(X0,real,X1,X2)) | ~real_V822414075346904944vector(X0)) )),
% 59.09/9.97    inference(forward_demodulation,[],[f38479,f50171])).
% 59.09/9.97  tff(f38479,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,real)] : (aa(X0,real,aTP_Lamp_sn(fun(X0,real),fun(X0,real),X1),X2) = aa(real,real,aa(real,fun(real,real),times_times(real),aa(X0,real,X1,X2)),zero_zero(real)) | ~real_V822414075346904944vector(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f19729])).
% 59.09/9.97  tff(f19729,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : fun(X0,real),X2 : X0] : aa(X0,real,aTP_Lamp_sn(fun(X0,real),fun(X0,real),X1),X2) = aa(real,real,aa(real,fun(real,real),times_times(real),aa(X0,real,X1,X2)),zero_zero(real)) | ~real_V822414075346904944vector(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f11599])).
% 59.09/9.97  tff(f11599,plain,(
% 59.09/9.97    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(X0,real),X2 : X0] : aa(X0,real,aTP_Lamp_sn(fun(X0,real),fun(X0,real),X1),X2) = aa(real,real,aa(real,fun(real,real),times_times(real),aa(X0,real,X1,X2)),zero_zero(real)))),
% 59.09/9.97    inference(rectify,[],[f8249])).
% 59.09/9.97  tff(f8249,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X94 : fun(X0,real),X353 : X0] : aa(X0,real,aTP_Lamp_sn(fun(X0,real),fun(X0,real),X94),X353) = aa(real,real,aa(real,fun(real,real),times_times(real),aa(X0,real,X94,X353)),zero_zero(real)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8248_ATP_Olambda__133)).
% 59.09/9.97  tff(f112769,plain,(
% 59.09/9.97    spl2737_3552),
% 59.09/9.97    inference(avatar_split_clause,[],[f90823,f112766])).
% 59.09/9.97  tff(f112766,plain,(
% 59.09/9.97    spl2737_3552 <=> aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,m))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3552])])).
% 59.09/9.97  tff(f90823,plain,(
% 59.09/9.97    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,m))),
% 59.09/9.97    inference(forward_demodulation,[],[f54167,f54446])).
% 59.09/9.97  tff(f54167,plain,(
% 59.09/9.97    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),m)),
% 59.09/9.97    inference(forward_demodulation,[],[f54166,f54081])).
% 59.09/9.97  tff(f54166,plain,(
% 59.09/9.97    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),m)),
% 59.09/9.97    inference(forward_demodulation,[],[f54165,f35414])).
% 59.09/9.97  tff(f54165,plain,(
% 59.09/9.97    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),m)),
% 59.09/9.97    inference(forward_demodulation,[],[f50546,f50511])).
% 59.09/9.97  tff(f50546,plain,(
% 59.09/9.97    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),m)),
% 59.09/9.97    inference(definition_unfolding,[],[f35617,f50501])).
% 59.09/9.97  tff(f35617,plain,(
% 59.09/9.97    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),m)),
% 59.09/9.97    inference(cnf_transformation,[],[f2361])).
% 59.09/9.97  tff(f2361,axiom,(
% 59.09/9.97    aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),m)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2360__C3_Ohyps_C_I2_J)).
% 59.09/9.97  tff(f112526,plain,(
% 59.09/9.97    spl2737_3551 | ~spl2737_1901 | ~spl2737_2508),
% 59.09/9.97    inference(avatar_split_clause,[],[f79236,f79233,f74526,f112523])).
% 59.09/9.97  tff(f112523,plain,(
% 59.09/9.97    spl2737_3551 <=> vEBT_VEBT_minNull(summary)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3551])])).
% 59.09/9.97  tff(f74526,plain,(
% 59.09/9.97    spl2737_1901 <=> ! [X0 : nat] : ~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X0),summary))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1901])])).
% 59.09/9.97  tff(f79233,plain,(
% 59.09/9.97    spl2737_2508 <=> ! [X0 : vEBT_VEBT] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK579(X0)),X0)) | vEBT_VEBT_minNull(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2508])])).
% 59.09/9.97  tff(f79236,plain,(
% 59.09/9.97    vEBT_VEBT_minNull(summary) | (~spl2737_1901 | ~spl2737_2508)),
% 59.09/9.97    inference(resolution,[],[f79234,f74527])).
% 59.09/9.97  tff(f74527,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X0),summary))) ) | ~spl2737_1901),
% 59.09/9.97    inference(avatar_component_clause,[],[f74526])).
% 59.09/9.97  tff(f79234,plain,(
% 59.09/9.97    ( ! [X0 : vEBT_VEBT] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK579(X0)),X0)) | vEBT_VEBT_minNull(X0)) ) | ~spl2737_2508),
% 59.09/9.97    inference(avatar_component_clause,[],[f79233])).
% 59.09/9.97  tff(f111123,plain,(
% 59.09/9.97    spl2737_3550 | ~spl2737_292 | ~spl2737_2341),
% 59.09/9.97    inference(avatar_split_clause,[],[f90901,f77642,f65679,f111121])).
% 59.09/9.97  tff(f111121,plain,(
% 59.09/9.97    spl2737_3550 <=> ! [X0 : nat] : neg_numeral_dbl_dec(int,zero_zero(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),neg_numeral_dbl_dec(int,zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3550])])).
% 59.09/9.97  tff(f65679,plain,(
% 59.09/9.97    spl2737_292 <=> neg_numeral(int)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_292])])).
% 59.09/9.97  tff(f77642,plain,(
% 59.09/9.97    spl2737_2341 <=> ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2341])])).
% 59.09/9.97  tff(f90901,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (neg_numeral_dbl_dec(int,zero_zero(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),neg_numeral_dbl_dec(int,zero_zero(int)))) ) | (~spl2737_292 | ~spl2737_2341)),
% 59.09/9.97    inference(forward_demodulation,[],[f36071,f78511])).
% 59.09/9.97  tff(f78511,plain,(
% 59.09/9.97    aa(int,int,uminus_uminus(int),one_one(int)) = neg_numeral_dbl_dec(int,zero_zero(int)) | (~spl2737_292 | ~spl2737_2341)),
% 59.09/9.97    inference(resolution,[],[f77643,f65681])).
% 59.09/9.97  tff(f65681,plain,(
% 59.09/9.97    neg_numeral(int) | ~spl2737_292),
% 59.09/9.97    inference(avatar_component_clause,[],[f65679])).
% 59.09/9.97  tff(f77643,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (~neg_numeral(X0) | aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0))) ) | ~spl2737_2341),
% 59.09/9.97    inference(avatar_component_clause,[],[f77642])).
% 59.09/9.97  tff(f36071,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),aa(int,int,uminus_uminus(int),one_one(int)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f10231])).
% 59.09/9.97  tff(f10231,plain,(
% 59.09/9.97    ! [X0 : nat] : aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X0),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.09/9.97    inference(rectify,[],[f4525])).
% 59.09/9.97  tff(f4525,axiom,(
% 59.09/9.97    ! [X8 : nat] : aa(int,int,uminus_uminus(int),one_one(int)) = aa(int,int,bit_se4197421643247451524op_bit(int,X8),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4524_drop__bit__minus__one)).
% 59.09/9.97  tff(f111119,plain,(
% 59.09/9.97    spl2737_3549 | ~spl2737_1831 | ~spl2737_2922),
% 59.09/9.97    inference(avatar_split_clause,[],[f90306,f82551,f73571,f111117])).
% 59.09/9.97  tff(f111117,plain,(
% 59.09/9.97    spl2737_3549 <=> ! [X0 : set(int)] : gcd_Lcm(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,aa(int,nat,nat2,gcd_Lcm(int,X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3549])])).
% 59.09/9.97  tff(f73571,plain,(
% 59.09/9.97    spl2737_1831 <=> ! [X0 : nat] : aa(int,nat,nat2,aa(nat,int,code_T6385005292777649522of_nat,X0)) = X0),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1831])])).
% 59.09/9.97  tff(f82551,plain,(
% 59.09/9.97    spl2737_2922 <=> ! [X0 : set(int)] : gcd_Lcm(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Lcm(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2922])])).
% 59.09/9.97  tff(f90306,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (gcd_Lcm(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,aa(int,nat,nat2,gcd_Lcm(int,X0)))) ) | (~spl2737_1831 | ~spl2737_2922)),
% 59.09/9.97    inference(forward_demodulation,[],[f82552,f83440])).
% 59.09/9.97  tff(f83440,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (aa(int,nat,nat2,gcd_Lcm(int,X0)) = gcd_Lcm(nat,image(int,nat,euclid6346220572633701492n_size(int),X0))) ) | (~spl2737_1831 | ~spl2737_2922)),
% 59.09/9.97    inference(superposition,[],[f73572,f82552])).
% 59.09/9.97  tff(f73572,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (aa(int,nat,nat2,aa(nat,int,code_T6385005292777649522of_nat,X0)) = X0) ) | ~spl2737_1831),
% 59.09/9.97    inference(avatar_component_clause,[],[f73571])).
% 59.09/9.97  tff(f82552,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (gcd_Lcm(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Lcm(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))) ) | ~spl2737_2922),
% 59.09/9.97    inference(avatar_component_clause,[],[f82551])).
% 59.09/9.97  tff(f111115,plain,(
% 59.09/9.97    spl2737_3548 | ~spl2737_1831 | ~spl2737_2921),
% 59.09/9.97    inference(avatar_split_clause,[],[f90304,f82547,f73571,f111113])).
% 59.09/9.97  tff(f111113,plain,(
% 59.09/9.97    spl2737_3548 <=> ! [X0 : set(int)] : gcd_Gcd(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,aa(int,nat,nat2,gcd_Gcd(int,X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3548])])).
% 59.09/9.97  tff(f82547,plain,(
% 59.09/9.97    spl2737_2921 <=> ! [X0 : set(int)] : gcd_Gcd(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Gcd(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2921])])).
% 59.09/9.97  tff(f90304,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (gcd_Gcd(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,aa(int,nat,nat2,gcd_Gcd(int,X0)))) ) | (~spl2737_1831 | ~spl2737_2921)),
% 59.09/9.97    inference(forward_demodulation,[],[f82548,f83433])).
% 59.09/9.97  tff(f83433,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (aa(int,nat,nat2,gcd_Gcd(int,X0)) = gcd_Gcd(nat,image(int,nat,euclid6346220572633701492n_size(int),X0))) ) | (~spl2737_1831 | ~spl2737_2921)),
% 59.09/9.97    inference(superposition,[],[f73572,f82548])).
% 59.09/9.97  tff(f82548,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (gcd_Gcd(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Gcd(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))) ) | ~spl2737_2921),
% 59.09/9.97    inference(avatar_component_clause,[],[f82547])).
% 59.09/9.97  tff(f109856,plain,(
% 59.09/9.97    spl2737_3547),
% 59.09/9.97    inference(avatar_split_clause,[],[f90308,f109853])).
% 59.09/9.97  tff(f109853,plain,(
% 59.09/9.97    spl2737_3547 <=> zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,divmod_nat(size_num(one2),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3547])])).
% 59.09/9.97  tff(f90308,plain,(
% 59.09/9.97    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,divmod_nat(size_num(one2),size_num(one2)))),
% 59.09/9.97    inference(forward_demodulation,[],[f54121,f58337])).
% 59.09/9.97  tff(f54121,plain,(
% 59.09/9.97    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),product_Pair(nat,nat,size_num(one2)),size_num(one2)))),
% 59.09/9.97    inference(forward_demodulation,[],[f35580,f35397])).
% 59.09/9.97  tff(f35580,plain,(
% 59.09/9.97    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),zero_zero(nat)))),
% 59.09/9.97    inference(cnf_transformation,[],[f4716])).
% 59.09/9.97  tff(f4716,axiom,(
% 59.09/9.97    zero_zero(int) = aa(product_prod(nat,nat),int,abs_Integ,aa(nat,product_prod(nat,nat),product_Pair(nat,nat,zero_zero(nat)),zero_zero(nat)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4715_zero__int__def)).
% 59.09/9.97  tff(f109059,plain,(
% 59.09/9.97    spl2737_3546 | ~spl2737_202 | ~spl2737_2109),
% 59.09/9.97    inference(avatar_split_clause,[],[f93751,f75885,f65229,f109057])).
% 59.09/9.97  tff(f109057,plain,(
% 59.09/9.97    spl2737_3546 <=> ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bit_se5641148757651400278ts_bit(code_natural,zero_zero(code_natural)) | ~bit_semiring_bits(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3546])])).
% 59.09/9.97  tff(f65229,plain,(
% 59.09/9.97    spl2737_202 <=> bit_semiring_bits(code_natural)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_202])])).
% 59.09/9.97  tff(f75885,plain,(
% 59.09/9.97    spl2737_2109 <=> ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,bool)) | ~bit_semiring_bits(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2109])])).
% 59.09/9.97  tff(f93751,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bit_se5641148757651400278ts_bit(code_natural,zero_zero(code_natural)) | ~bit_semiring_bits(X0)) ) | (~spl2737_202 | ~spl2737_2109)),
% 59.09/9.97    inference(forward_demodulation,[],[f75886,f76607])).
% 59.09/9.97  tff(f76607,plain,(
% 59.09/9.97    bot_bot(fun(nat,bool)) = bit_se5641148757651400278ts_bit(code_natural,zero_zero(code_natural)) | (~spl2737_202 | ~spl2737_2109)),
% 59.09/9.97    inference(resolution,[],[f75886,f65231])).
% 59.09/9.97  tff(f65231,plain,(
% 59.09/9.97    bit_semiring_bits(code_natural) | ~spl2737_202),
% 59.09/9.97    inference(avatar_component_clause,[],[f65229])).
% 59.09/9.97  tff(f75886,plain,(
% 59.09/9.97    ( ! [X0 : $tType] : (~bit_semiring_bits(X0) | bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,bool))) ) | ~spl2737_2109),
% 59.09/9.97    inference(avatar_component_clause,[],[f75885])).
% 59.09/9.97  tff(f108176,plain,(
% 59.09/9.97    spl2737_3545 | ~spl2737_111 | ~spl2737_2074 | ~spl2737_2328),
% 59.09/9.97    inference(avatar_split_clause,[],[f90519,f77589,f75729,f64774,f108173])).
% 59.09/9.97  tff(f108173,plain,(
% 59.09/9.97    spl2737_3545 <=> aa(complex,complex,uminus_uminus(complex),imaginary_unit) = divide_divide(complex,one_one(complex),imaginary_unit)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3545])])).
% 59.09/9.97  tff(f90519,plain,(
% 59.09/9.97    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = divide_divide(complex,one_one(complex),imaginary_unit) | (~spl2737_111 | ~spl2737_2074 | ~spl2737_2328)),
% 59.09/9.97    inference(forward_demodulation,[],[f75731,f78422])).
% 59.09/9.97  tff(f108171,plain,(
% 59.09/9.97    spl2737_3544 | ~spl2737_111 | ~spl2737_2074 | ~spl2737_2237 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494),
% 59.09/9.97    inference(avatar_split_clause,[],[f90336,f79175,f78013,f77589,f76417,f75729,f64774,f108168])).
% 59.09/9.97  tff(f108168,plain,(
% 59.09/9.97    spl2737_3544 <=> pi = aa(real,real,arccos,im(divide_divide(complex,one_one(complex),imaginary_unit)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3544])])).
% 59.09/9.97  tff(f76417,plain,(
% 59.09/9.97    spl2737_2237 <=> pi = aa(real,real,arccos,aa(real,real,cos(real),pi))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2237])])).
% 59.09/9.97  tff(f90336,plain,(
% 59.09/9.97    pi = aa(real,real,arccos,im(divide_divide(complex,one_one(complex),imaginary_unit))) | (~spl2737_111 | ~spl2737_2074 | ~spl2737_2237 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494)),
% 59.09/9.97    inference(forward_demodulation,[],[f76419,f80441])).
% 59.09/9.97  tff(f76419,plain,(
% 59.09/9.97    pi = aa(real,real,arccos,aa(real,real,cos(real),pi)) | ~spl2737_2237),
% 59.09/9.97    inference(avatar_component_clause,[],[f76417])).
% 59.09/9.97  tff(f107694,plain,(
% 59.09/9.97    spl2737_3543 | ~spl2737_291 | ~spl2737_998 | ~spl2737_2341 | ~spl2737_2422),
% 59.09/9.97    inference(avatar_split_clause,[],[f90572,f78013,f77642,f69366,f65674,f107691])).
% 59.09/9.97  tff(f107691,plain,(
% 59.09/9.97    spl2737_3543 <=> aa(real,real,cos(real),pi) = neg_numeral_dbl_dec(real,zero_zero(real))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3543])])).
% 59.09/9.97  tff(f90572,plain,(
% 59.09/9.97    aa(real,real,cos(real),pi) = neg_numeral_dbl_dec(real,zero_zero(real)) | (~spl2737_291 | ~spl2737_998 | ~spl2737_2341 | ~spl2737_2422)),
% 59.09/9.97    inference(forward_demodulation,[],[f78015,f78513])).
% 59.09/9.97  tff(f78513,plain,(
% 59.09/9.97    aa(real,real,uminus_uminus(real),im(imaginary_unit)) = neg_numeral_dbl_dec(real,zero_zero(real)) | (~spl2737_291 | ~spl2737_998 | ~spl2737_2341)),
% 59.09/9.97    inference(forward_demodulation,[],[f78509,f69368])).
% 59.09/9.97  tff(f78509,plain,(
% 59.09/9.97    aa(real,real,uminus_uminus(real),one_one(real)) = neg_numeral_dbl_dec(real,zero_zero(real)) | (~spl2737_291 | ~spl2737_2341)),
% 59.09/9.97    inference(resolution,[],[f77643,f65676])).
% 59.09/9.97  tff(f90260,plain,(
% 59.09/9.97    ~spl2737_1506 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90041])).
% 59.09/9.97  tff(f90041,plain,(
% 59.09/9.97    $false | (~spl2737_1506 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f71730])).
% 59.09/9.97  tff(f71730,plain,(
% 59.09/9.97    pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),zero_zero(rat)))) | ~spl2737_1506),
% 59.09/9.97    inference(avatar_component_clause,[],[f71728])).
% 59.09/9.97  tff(f71728,plain,(
% 59.09/9.97    spl2737_1506 <=> pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),zero_zero(rat))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1506])])).
% 59.09/9.97  tff(f90033,plain,(
% 59.09/9.97    ( ! [X2 : bool] : (~pp(X2)) ) | ~spl2737_3541),
% 59.09/9.97    inference(avatar_component_clause,[],[f90032])).
% 59.09/9.97  tff(f90032,plain,(
% 59.09/9.97    spl2737_3541 <=> ! [X2 : bool] : ~pp(X2)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3541])])).
% 59.09/9.97  tff(f90259,plain,(
% 59.09/9.97    ~spl2737_2230 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90043])).
% 59.09/9.97  tff(f90043,plain,(
% 59.09/9.97    $false | (~spl2737_2230 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f76386])).
% 59.09/9.97  tff(f76386,plain,(
% 59.09/9.97    ( ! [X1 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),X1),X1))) ) | ~spl2737_2230),
% 59.09/9.97    inference(avatar_component_clause,[],[f76385])).
% 59.09/9.97  tff(f76385,plain,(
% 59.09/9.97    spl2737_2230 <=> ! [X1 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),X1),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2230])])).
% 59.09/9.97  tff(f90258,plain,(
% 59.09/9.97    ~spl2737_2369 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90044])).
% 59.09/9.97  tff(f90044,plain,(
% 59.09/9.97    $false | (~spl2737_2369 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f77759])).
% 59.09/9.97  tff(f77759,plain,(
% 59.09/9.97    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),sK1311(X0)),X0))) ) | ~spl2737_2369),
% 59.09/9.97    inference(avatar_component_clause,[],[f77758])).
% 59.09/9.97  tff(f77758,plain,(
% 59.09/9.97    spl2737_2369 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),sK1311(X0)),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2369])])).
% 59.09/9.97  tff(f90257,plain,(
% 59.09/9.97    ~spl2737_1308 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90048])).
% 59.09/9.97  tff(f90048,plain,(
% 59.09/9.97    $false | (~spl2737_1308 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f70776])).
% 59.09/9.97  tff(f70776,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,aTP_Lamp_kc(nat,bool),X0))) ) | ~spl2737_1308),
% 59.09/9.97    inference(avatar_component_clause,[],[f70775])).
% 59.09/9.97  tff(f70775,plain,(
% 59.09/9.97    spl2737_1308 <=> ! [X0 : nat] : pp(aa(nat,bool,aTP_Lamp_kc(nat,bool),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1308])])).
% 59.09/9.97  tff(f90256,plain,(
% 59.09/9.97    ~spl2737_2082 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90049])).
% 59.09/9.97  tff(f90049,plain,(
% 59.09/9.97    $false | (~spl2737_2082 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f75769])).
% 59.09/9.97  tff(f75769,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),X0))) ) | ~spl2737_2082),
% 59.09/9.97    inference(avatar_component_clause,[],[f75768])).
% 59.09/9.97  tff(f75768,plain,(
% 59.09/9.97    spl2737_2082 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2082])])).
% 59.09/9.97  tff(f90255,plain,(
% 59.09/9.97    ~spl2737_2084 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90050])).
% 59.09/9.97  tff(f90050,plain,(
% 59.09/9.97    $false | (~spl2737_2084 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f75781])).
% 59.09/9.97  tff(f75781,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),X0))) ) | ~spl2737_2084),
% 59.09/9.97    inference(avatar_component_clause,[],[f75780])).
% 59.09/9.97  tff(f75780,plain,(
% 59.09/9.97    spl2737_2084 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2084])])).
% 59.09/9.97  tff(f90254,plain,(
% 59.09/9.97    ~spl2737_2434 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90051])).
% 59.09/9.97  tff(f90051,plain,(
% 59.09/9.97    $false | (~spl2737_2434 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f78098])).
% 59.09/9.97  tff(f78098,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),size_num(one2)),X0))) ) | ~spl2737_2434),
% 59.09/9.97    inference(avatar_component_clause,[],[f78097])).
% 59.09/9.97  tff(f78097,plain,(
% 59.09/9.97    spl2737_2434 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),size_num(one2)),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2434])])).
% 59.09/9.97  tff(f90253,plain,(
% 59.09/9.97    ~spl2737_2963 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90052])).
% 59.09/9.97  tff(f90052,plain,(
% 59.09/9.97    $false | (~spl2737_2963 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f83609])).
% 59.09/9.97  tff(f83609,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(nat,nat,suc,X0)),X0))) ) | ~spl2737_2963),
% 59.09/9.97    inference(avatar_component_clause,[],[f83608])).
% 59.09/9.97  tff(f83608,plain,(
% 59.09/9.97    spl2737_2963 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(nat,nat,suc,X0)),X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2963])])).
% 59.09/9.97  tff(f90252,plain,(
% 59.09/9.97    ~spl2737_2456 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90053])).
% 59.09/9.97  tff(f90053,plain,(
% 59.09/9.97    $false | (~spl2737_2456 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f78326])).
% 59.09/9.97  tff(f90251,plain,(
% 59.09/9.97    ~spl2737_1822 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90061])).
% 59.09/9.97  tff(f90061,plain,(
% 59.09/9.97    $false | (~spl2737_1822 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f73532])).
% 59.09/9.97  tff(f73532,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X2),X2))) ) | ~spl2737_1822),
% 59.09/9.97    inference(avatar_component_clause,[],[f73531])).
% 59.09/9.97  tff(f73531,plain,(
% 59.09/9.97    spl2737_1822 <=> ! [X0 : $tType,X2 : X0] : pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X2),X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1822])])).
% 59.09/9.97  tff(f90250,plain,(
% 59.09/9.97    ~spl2737_2256 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90064])).
% 59.09/9.97  tff(f90064,plain,(
% 59.09/9.97    $false | (~spl2737_2256 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f76502])).
% 59.09/9.97  tff(f76502,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,fequal(X0),X2),X2))) ) | ~spl2737_2256),
% 59.09/9.97    inference(avatar_component_clause,[],[f76501])).
% 59.09/9.97  tff(f76501,plain,(
% 59.09/9.97    spl2737_2256 <=> ! [X0 : $tType,X2 : X0] : pp(aa(X0,bool,combc(X0,X0,bool,fequal(X0),X2),X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2256])])).
% 59.09/9.97  tff(f90249,plain,(
% 59.09/9.97    ~spl2737_2303 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90086])).
% 59.09/9.97  tff(f90086,plain,(
% 59.09/9.97    $false | (~spl2737_2303 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f77485])).
% 59.09/9.97  tff(f77485,plain,(
% 59.09/9.97    ( ! [X0 : complex] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),pi),arg(X0)))) ) | ~spl2737_2303),
% 59.09/9.97    inference(avatar_component_clause,[],[f77484])).
% 59.09/9.97  tff(f77484,plain,(
% 59.09/9.97    spl2737_2303 <=> ! [X0 : complex] : pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),pi),arg(X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2303])])).
% 59.09/9.97  tff(f90248,plain,(
% 59.09/9.97    ~spl2737_2913 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90087])).
% 59.09/9.97  tff(f90087,plain,(
% 59.09/9.97    $false | (~spl2737_2913 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f82495])).
% 59.09/9.97  tff(f82495,plain,(
% 59.09/9.97    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),cosh(real,X0)),im(imaginary_unit)))) ) | ~spl2737_2913),
% 59.09/9.97    inference(avatar_component_clause,[],[f82494])).
% 59.09/9.97  tff(f82494,plain,(
% 59.09/9.97    spl2737_2913 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),cosh(real,X0)),im(imaginary_unit)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2913])])).
% 59.09/9.97  tff(f90247,plain,(
% 59.09/9.97    ~spl2737_3236 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90088])).
% 59.09/9.97  tff(f90088,plain,(
% 59.09/9.97    $false | (~spl2737_3236 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f85512])).
% 59.09/9.97  tff(f85512,plain,(
% 59.09/9.97    pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aak(nat,rat)),im(imaginary_unit))) | ~spl2737_3236),
% 59.09/9.97    inference(avatar_component_clause,[],[f85510])).
% 59.09/9.97  tff(f85510,plain,(
% 59.09/9.97    spl2737_3236 <=> pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aak(nat,rat)),im(imaginary_unit)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3236])])).
% 59.09/9.97  tff(f90246,plain,(
% 59.09/9.97    ~spl2737_2280 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90090])).
% 59.09/9.97  tff(f90090,plain,(
% 59.09/9.97    $false | (~spl2737_2280 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f77373])).
% 59.09/9.97  tff(f77373,plain,(
% 59.09/9.97    pp(aa(nat,bool,combc(nat,code_natural,bool,code_pcr_natural,one_one(code_natural)),one_one(nat))) | ~spl2737_2280),
% 59.09/9.97    inference(avatar_component_clause,[],[f77371])).
% 59.09/9.97  tff(f77371,plain,(
% 59.09/9.97    spl2737_2280 <=> pp(aa(nat,bool,combc(nat,code_natural,bool,code_pcr_natural,one_one(code_natural)),one_one(nat)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2280])])).
% 59.09/9.97  tff(f90245,plain,(
% 59.09/9.97    ~spl2737_2439 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90091])).
% 59.09/9.97  tff(f90091,plain,(
% 59.09/9.97    $false | (~spl2737_2439 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f78153])).
% 59.09/9.97  tff(f78153,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),one_one(nat)))) ) | ~spl2737_2439),
% 59.09/9.97    inference(avatar_component_clause,[],[f78152])).
% 59.09/9.97  tff(f78152,plain,(
% 59.09/9.97    spl2737_2439 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),one_one(nat)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2439])])).
% 59.09/9.97  tff(f90244,plain,(
% 59.09/9.97    ~spl2737_2919 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90092])).
% 59.09/9.97  tff(f90092,plain,(
% 59.09/9.97    $false | (~spl2737_2919 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f82532])).
% 59.09/9.97  tff(f82532,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),semiring_char_0_fact(nat,X0)),one_one(nat)))) ) | ~spl2737_2919),
% 59.09/9.97    inference(avatar_component_clause,[],[f82531])).
% 59.09/9.97  tff(f82531,plain,(
% 59.09/9.97    spl2737_2919 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),semiring_char_0_fact(nat,X0)),one_one(nat)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2919])])).
% 59.09/9.97  tff(f90243,plain,(
% 59.09/9.97    ~spl2737_2426 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90093])).
% 59.09/9.97  tff(f90093,plain,(
% 59.09/9.97    $false | (~spl2737_2426 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f78042])).
% 59.09/9.97  tff(f78042,plain,(
% 59.09/9.97    pp(aa(int,bool,combc(int,code_integer,bool,code_pcr_integer,code_integer_of_num(one2)),one_one(int))) | ~spl2737_2426),
% 59.09/9.97    inference(avatar_component_clause,[],[f78040])).
% 59.09/9.97  tff(f78040,plain,(
% 59.09/9.97    spl2737_2426 <=> pp(aa(int,bool,combc(int,code_integer,bool,code_pcr_integer,code_integer_of_num(one2)),one_one(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2426])])).
% 59.09/9.97  tff(f90242,plain,(
% 59.09/9.97    ~spl2737_2784 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90099])).
% 59.09/9.97  tff(f90099,plain,(
% 59.09/9.97    $false | (~spl2737_2784 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f81502])).
% 59.09/9.97  tff(f81502,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))) ) | ~spl2737_2784),
% 59.09/9.97    inference(avatar_component_clause,[],[f81501])).
% 59.09/9.97  tff(f81501,plain,(
% 59.09/9.97    spl2737_2784 <=> ! [X0 : nat] : pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2784])])).
% 59.09/9.97  tff(f90241,plain,(
% 59.09/9.97    ~spl2737_3127 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90100])).
% 59.09/9.97  tff(f90100,plain,(
% 59.09/9.97    $false | (~spl2737_3127 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f84856])).
% 59.09/9.97  tff(f84856,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),bit_se2584673776208193580ke_bit(int,X0,X1)),zero_zero(int)))) ) | ~spl2737_3127),
% 59.09/9.97    inference(avatar_component_clause,[],[f84855])).
% 59.09/9.97  tff(f84855,plain,(
% 59.09/9.97    spl2737_3127 <=> ! [X0 : nat,X1 : int] : pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),bit_se2584673776208193580ke_bit(int,X0,X1)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3127])])).
% 59.09/9.97  tff(f90240,plain,(
% 59.09/9.97    ~spl2737_2786 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90101])).
% 59.09/9.97  tff(f90101,plain,(
% 59.09/9.97    $false | (~spl2737_2786 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f81518])).
% 59.09/9.97  tff(f81518,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),gcd_Gcd(int,X0)),zero_zero(int)))) ) | ~spl2737_2786),
% 59.09/9.97    inference(avatar_component_clause,[],[f81517])).
% 59.09/9.97  tff(f81517,plain,(
% 59.09/9.97    spl2737_2786 <=> ! [X0 : set(int)] : pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),gcd_Gcd(int,X0)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2786])])).
% 59.09/9.97  tff(f90239,plain,(
% 59.09/9.97    ~spl2737_2788 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90102])).
% 59.09/9.97  tff(f90102,plain,(
% 59.09/9.97    $false | (~spl2737_2788 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f81535])).
% 59.09/9.97  tff(f81535,plain,(
% 59.09/9.97    ( ! [X0 : set(int)] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),gcd_Lcm(int,X0)),zero_zero(int)))) ) | ~spl2737_2788),
% 59.09/9.97    inference(avatar_component_clause,[],[f81534])).
% 59.09/9.97  tff(f81534,plain,(
% 59.09/9.97    spl2737_2788 <=> ! [X0 : set(int)] : pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),gcd_Lcm(int,X0)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2788])])).
% 59.09/9.97  tff(f90238,plain,(
% 59.09/9.97    ~spl2737_2283 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90103])).
% 59.09/9.97  tff(f90103,plain,(
% 59.09/9.97    $false | (~spl2737_2283 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f77394])).
% 59.09/9.97  tff(f77394,plain,(
% 59.09/9.97    pp(aa(int,bool,combc(int,code_integer,bool,code_pcr_integer,zero_zero(code_integer)),zero_zero(int))) | ~spl2737_2283),
% 59.09/9.97    inference(avatar_component_clause,[],[f77392])).
% 59.09/9.97  tff(f77392,plain,(
% 59.09/9.97    spl2737_2283 <=> pp(aa(int,bool,combc(int,code_integer,bool,code_pcr_integer,zero_zero(code_integer)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2283])])).
% 59.09/9.97  tff(f90237,plain,(
% 59.09/9.97    ~spl2737_2476 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90104])).
% 59.09/9.97  tff(f90104,plain,(
% 59.09/9.97    $false | (~spl2737_2476 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f79089])).
% 59.09/9.97  tff(f79089,plain,(
% 59.09/9.97    pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),zero_zero(int))) | ~spl2737_2476),
% 59.09/9.97    inference(avatar_component_clause,[],[f79087])).
% 59.09/9.97  tff(f79087,plain,(
% 59.09/9.97    spl2737_2476 <=> pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2476])])).
% 59.09/9.97  tff(f90236,plain,(
% 59.09/9.97    ~spl2737_3282 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90105])).
% 59.09/9.97  tff(f90105,plain,(
% 59.09/9.97    $false | (~spl2737_3282 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f88031])).
% 59.09/9.97  tff(f88031,plain,(
% 59.09/9.97    ( ! [X0 : num] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),aa(num,int,pos,X0)),zero_zero(int)))) ) | ~spl2737_3282),
% 59.09/9.97    inference(avatar_component_clause,[],[f88030])).
% 59.09/9.97  tff(f88030,plain,(
% 59.09/9.97    spl2737_3282 <=> ! [X0 : num] : pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),aa(num,int,pos,X0)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3282])])).
% 59.09/9.97  tff(f90235,plain,(
% 59.09/9.97    ~spl2737_3284 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90106])).
% 59.09/9.97  tff(f90106,plain,(
% 59.09/9.97    $false | (~spl2737_3284 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f88051])).
% 59.09/9.97  tff(f88051,plain,(
% 59.09/9.97    ( ! [X0 : num] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),aa(num,int,pos,X0)),zero_zero(int)))) ) | ~spl2737_3284),
% 59.09/9.97    inference(avatar_component_clause,[],[f88050])).
% 59.09/9.97  tff(f88050,plain,(
% 59.09/9.97    spl2737_3284 <=> ! [X0 : num] : pp(aa(int,bool,combc(int,int,bool,ord_less(int),aa(num,int,pos,X0)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3284])])).
% 59.09/9.97  tff(f90234,plain,(
% 59.09/9.97    ~spl2737_2599 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90107])).
% 59.09/9.97  tff(f90107,plain,(
% 59.09/9.97    $false | (~spl2737_2599 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f79673])).
% 59.09/9.97  tff(f79673,plain,(
% 59.09/9.97    ( ! [X0 : rat] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),sK1310(X0)),zero_zero(int)))) ) | ~spl2737_2599),
% 59.09/9.97    inference(avatar_component_clause,[],[f79672])).
% 59.09/9.97  tff(f79672,plain,(
% 59.09/9.97    spl2737_2599 <=> ! [X0 : rat] : pp(aa(int,bool,combc(int,int,bool,ord_less(int),sK1310(X0)),zero_zero(int)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2599])])).
% 59.09/9.97  tff(f90233,plain,(
% 59.09/9.97    ~spl2737_2952 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90122])).
% 59.09/9.97  tff(f90122,plain,(
% 59.09/9.97    $false | (~spl2737_2952 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f83555])).
% 59.09/9.97  tff(f83555,plain,(
% 59.09/9.97    pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aaj(nat,rat)),zero_zero(real))) | ~spl2737_2952),
% 59.09/9.97    inference(avatar_component_clause,[],[f83553])).
% 59.09/9.97  tff(f83553,plain,(
% 59.09/9.97    spl2737_2952 <=> pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aaj(nat,rat)),zero_zero(real)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2952])])).
% 59.09/9.97  tff(f90232,plain,(
% 59.09/9.97    ~spl2737_2228 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90125])).
% 59.09/9.97  tff(f90125,plain,(
% 59.09/9.97    $false | (~spl2737_2228 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f76376])).
% 59.09/9.97  tff(f76376,plain,(
% 59.09/9.97    pp(aa(num,bool,combc(num,num,bool,ord_less_eq(num),one2),one2)) | ~spl2737_2228),
% 59.09/9.97    inference(avatar_component_clause,[],[f76374])).
% 59.09/9.97  tff(f76374,plain,(
% 59.09/9.97    spl2737_2228 <=> pp(aa(num,bool,combc(num,num,bool,ord_less_eq(num),one2),one2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2228])])).
% 59.09/9.97  tff(f90231,plain,(
% 59.09/9.97    ~spl2737_1704 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90126])).
% 59.09/9.97  tff(f90126,plain,(
% 59.09/9.97    $false | (~spl2737_1704 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f72795])).
% 59.09/9.97  tff(f72795,plain,(
% 59.09/9.97    pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),size_num(one2))) | ~spl2737_1704),
% 59.09/9.97    inference(avatar_component_clause,[],[f72793])).
% 59.09/9.97  tff(f72793,plain,(
% 59.09/9.97    spl2737_1704 <=> pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1704])])).
% 59.09/9.97  tff(f90230,plain,(
% 59.09/9.97    ~spl2737_2424 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90128])).
% 59.09/9.97  tff(f90128,plain,(
% 59.09/9.97    $false | (~spl2737_2424 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f78026])).
% 59.09/9.97  tff(f78026,plain,(
% 59.09/9.97    pp(aa(nat,bool,combc(nat,code_natural,bool,code_pcr_natural,zero_zero(code_natural)),size_num(one2))) | ~spl2737_2424),
% 59.09/9.97    inference(avatar_component_clause,[],[f78024])).
% 59.09/9.97  tff(f78024,plain,(
% 59.09/9.97    spl2737_2424 <=> pp(aa(nat,bool,combc(nat,code_natural,bool,code_pcr_natural,zero_zero(code_natural)),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2424])])).
% 59.09/9.97  tff(f90229,plain,(
% 59.09/9.97    ~spl2737_2437 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90129])).
% 59.09/9.97  tff(f90129,plain,(
% 59.09/9.97    $false | (~spl2737_2437 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f78139])).
% 59.09/9.97  tff(f78139,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),size_num(one2)))) ) | ~spl2737_2437),
% 59.09/9.97    inference(avatar_component_clause,[],[f78138])).
% 59.09/9.97  tff(f78138,plain,(
% 59.09/9.97    spl2737_2437 <=> ! [X0 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2437])])).
% 59.09/9.97  tff(f90228,plain,(
% 59.09/9.97    ~spl2737_2740 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90130])).
% 59.09/9.97  tff(f90130,plain,(
% 59.09/9.97    $false | (~spl2737_2740 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f80367])).
% 59.09/9.97  tff(f80367,plain,(
% 59.09/9.97    pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),one_one(nat)),size_num(one2))) | ~spl2737_2740),
% 59.09/9.97    inference(avatar_component_clause,[],[f80365])).
% 59.09/9.97  tff(f80365,plain,(
% 59.09/9.97    spl2737_2740 <=> pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),one_one(nat)),size_num(one2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2740])])).
% 59.09/9.97  tff(f90227,plain,(
% 59.09/9.97    ~spl2737_1832 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90132])).
% 59.09/9.97  tff(f90132,plain,(
% 59.09/9.97    $false | (~spl2737_1832 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f73576])).
% 59.09/9.97  tff(f73576,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(set(nat),bool,finite_finite(nat),order_underS(nat,bNF_Ca8665028551170535155natLeq,X0)))) ) | ~spl2737_1832),
% 59.09/9.97    inference(avatar_component_clause,[],[f73575])).
% 59.09/9.97  tff(f73575,plain,(
% 59.09/9.97    spl2737_1832 <=> ! [X0 : nat] : pp(aa(set(nat),bool,finite_finite(nat),order_underS(nat,bNF_Ca8665028551170535155natLeq,X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1832])])).
% 59.09/9.97  tff(f90226,plain,(
% 59.09/9.97    ~spl2737_2671 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90139])).
% 59.09/9.97  tff(f90139,plain,(
% 59.09/9.97    $false | (~spl2737_2671 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f80036])).
% 59.09/9.97  tff(f80036,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (pp(aa(set(nat),bool,finite_finite(nat),collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X0))))) ) | ~spl2737_2671),
% 59.09/9.97    inference(avatar_component_clause,[],[f80035])).
% 59.09/9.97  tff(f80035,plain,(
% 59.09/9.97    spl2737_2671 <=> ! [X0 : nat] : pp(aa(set(nat),bool,finite_finite(nat),collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X0))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2671])])).
% 59.09/9.97  tff(f90225,plain,(
% 59.09/9.97    ~spl2737_2744 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90141])).
% 59.09/9.97  tff(f90141,plain,(
% 59.09/9.97    $false | (~spl2737_2744 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f80390])).
% 59.09/9.97  tff(f80390,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0)] : (pp(aa(set(X0),bool,finite_finite(X0),image(nat,X0,X3,order_underS(nat,bNF_Ca8665028551170535155natLeq,X2))))) ) | ~spl2737_2744),
% 59.09/9.97    inference(avatar_component_clause,[],[f80389])).
% 59.09/9.97  tff(f80389,plain,(
% 59.09/9.97    spl2737_2744 <=> ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0)] : pp(aa(set(X0),bool,finite_finite(X0),image(nat,X0,X3,order_underS(nat,bNF_Ca8665028551170535155natLeq,X2))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2744])])).
% 59.09/9.97  tff(f90224,plain,(
% 59.09/9.97    ~spl2737_1909 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90142])).
% 59.09/9.97  tff(f90142,plain,(
% 59.09/9.97    $false | (~spl2737_1909 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f74562])).
% 59.09/9.97  tff(f74562,plain,(
% 59.09/9.97    ( ! [X0 : int] : (pp(aa(set(int),bool,finite_finite(int),set_or7035219750837199246ssThan(int,zero_zero(int),X0)))) ) | ~spl2737_1909),
% 59.09/9.97    inference(avatar_component_clause,[],[f74561])).
% 59.09/9.97  tff(f74561,plain,(
% 59.09/9.97    spl2737_1909 <=> ! [X0 : int] : pp(aa(set(int),bool,finite_finite(int),set_or7035219750837199246ssThan(int,zero_zero(int),X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_1909])])).
% 59.09/9.97  tff(f90223,plain,(
% 59.09/9.97    ~spl2737_2915 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90143])).
% 59.09/9.97  tff(f90143,plain,(
% 59.09/9.97    $false | (~spl2737_2915 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f82509])).
% 59.09/9.97  tff(f82509,plain,(
% 59.09/9.97    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),im(imaginary_unit)),sin(real,X0)))) ) | ~spl2737_2915),
% 59.09/9.97    inference(avatar_component_clause,[],[f82508])).
% 59.09/9.97  tff(f82508,plain,(
% 59.09/9.97    spl2737_2915 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),im(imaginary_unit)),sin(real,X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2915])])).
% 59.09/9.97  tff(f90222,plain,(
% 59.09/9.97    ~spl2737_2605 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90145])).
% 59.09/9.97  tff(f90145,plain,(
% 59.09/9.97    $false | (~spl2737_2605 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f79703])).
% 59.09/9.97  tff(f79703,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : list(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),aa(list(X0),set(X0),set2(X0),X1)))) ) | ~spl2737_2605),
% 59.09/9.97    inference(avatar_component_clause,[],[f79702])).
% 59.09/9.97  tff(f79702,plain,(
% 59.09/9.97    spl2737_2605 <=> ! [X0 : $tType,X1 : list(X0)] : pp(aa(set(X0),bool,finite_finite(X0),aa(list(X0),set(X0),set2(X0),X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2605])])).
% 59.09/9.97  tff(f90221,plain,(
% 59.09/9.97    ~spl2737_3117 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90155])).
% 59.09/9.97  tff(f90155,plain,(
% 59.09/9.97    $false | (~spl2737_3117 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f84798])).
% 59.09/9.97  tff(f84798,plain,(
% 59.09/9.97    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,set(real),bool,member(real),field_char_0_Rats(real)),sK1311(X0)))) ) | ~spl2737_3117),
% 59.09/9.97    inference(avatar_component_clause,[],[f84797])).
% 59.09/9.97  tff(f84797,plain,(
% 59.09/9.97    spl2737_3117 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,set(real),bool,member(real),field_char_0_Rats(real)),sK1311(X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3117])])).
% 59.09/9.97  tff(f90220,plain,(
% 59.09/9.97    ~spl2737_2371 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90156])).
% 59.09/9.97  tff(f90156,plain,(
% 59.09/9.97    $false | (~spl2737_2371 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f77776])).
% 59.09/9.97  tff(f77776,plain,(
% 59.09/9.97    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),X0),sK1312(X0)))) ) | ~spl2737_2371),
% 59.09/9.97    inference(avatar_component_clause,[],[f77775])).
% 59.09/9.97  tff(f77775,plain,(
% 59.09/9.97    spl2737_2371 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less(real),X0),sK1312(X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2371])])).
% 59.09/9.97  tff(f90219,plain,(
% 59.09/9.97    ~spl2737_3119 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90157])).
% 59.09/9.97  tff(f90157,plain,(
% 59.09/9.97    $false | (~spl2737_3119 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f84813])).
% 59.09/9.97  tff(f84813,plain,(
% 59.09/9.97    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,set(real),bool,member(real),field_char_0_Rats(real)),sK1312(X0)))) ) | ~spl2737_3119),
% 59.09/9.97    inference(avatar_component_clause,[],[f84812])).
% 59.09/9.97  tff(f84812,plain,(
% 59.09/9.97    spl2737_3119 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,set(real),bool,member(real),field_char_0_Rats(real)),sK1312(X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3119])])).
% 59.09/9.97  tff(f90218,plain,(
% 59.09/9.97    ~spl2737_2373 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90158])).
% 59.09/9.97  tff(f90158,plain,(
% 59.09/9.97    $false | (~spl2737_2373 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f77787])).
% 59.09/9.97  tff(f77787,plain,(
% 59.09/9.97    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),pi),sK1313(X0)))) ) | ~spl2737_2373),
% 59.09/9.97    inference(avatar_component_clause,[],[f77786])).
% 59.09/9.97  tff(f77786,plain,(
% 59.09/9.97    spl2737_2373 <=> ! [X0 : real] : pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),pi),sK1313(X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2373])])).
% 59.09/9.97  tff(f90217,plain,(
% 59.09/9.97    ~spl2737_2623 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90175])).
% 59.09/9.97  tff(f90175,plain,(
% 59.09/9.97    $false | (~spl2737_2623 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f79806])).
% 59.09/9.97  tff(f79806,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),sK1990(X0,X1)))) ) | ~spl2737_2623),
% 59.09/9.97    inference(avatar_component_clause,[],[f79805])).
% 59.09/9.97  tff(f79805,plain,(
% 59.09/9.97    spl2737_2623 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),sK1990(X0,X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2623])])).
% 59.09/9.97  tff(f90216,plain,(
% 59.09/9.97    ~spl2737_2625 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90176])).
% 59.09/9.97  tff(f90176,plain,(
% 59.09/9.97    $false | (~spl2737_2625 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f79820])).
% 59.09/9.97  tff(f79820,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),sK1990(X0,X1)))) ) | ~spl2737_2625),
% 59.09/9.97    inference(avatar_component_clause,[],[f79819])).
% 59.09/9.97  tff(f79819,plain,(
% 59.09/9.97    spl2737_2625 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),sK1990(X0,X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2625])])).
% 59.09/9.97  tff(f90215,plain,(
% 59.09/9.97    ~spl2737_2628 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90177])).
% 59.09/9.97  tff(f90177,plain,(
% 59.09/9.97    $false | (~spl2737_2628 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f79839])).
% 59.09/9.97  tff(f79839,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),sK1993(X0,X1)))) ) | ~spl2737_2628),
% 59.09/9.97    inference(avatar_component_clause,[],[f79838])).
% 59.09/9.97  tff(f79838,plain,(
% 59.09/9.97    spl2737_2628 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),sK1993(X0,X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2628])])).
% 59.09/9.97  tff(f90214,plain,(
% 59.09/9.97    ~spl2737_2630 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90178])).
% 59.09/9.97  tff(f90178,plain,(
% 59.09/9.97    $false | (~spl2737_2630 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f79853])).
% 59.09/9.97  tff(f79853,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),sK1993(X0,X1)))) ) | ~spl2737_2630),
% 59.09/9.97    inference(avatar_component_clause,[],[f79852])).
% 59.09/9.97  tff(f79852,plain,(
% 59.09/9.97    spl2737_2630 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),sK1993(X0,X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_2630])])).
% 59.09/9.97  tff(f90213,plain,(
% 59.09/9.97    ~spl2737_828 | ~spl2737_3541),
% 59.09/9.97    inference(avatar_contradiction_clause,[],[f90207])).
% 59.09/9.97  tff(f90207,plain,(
% 59.09/9.97    $false | (~spl2737_828 | ~spl2737_3541)),
% 59.09/9.97    inference(resolution,[],[f90033,f68361])).
% 59.09/9.97  tff(f68361,plain,(
% 59.09/9.97    pp(fTrue) | ~spl2737_828),
% 59.09/9.97    inference(avatar_component_clause,[],[f68359])).
% 59.09/9.97  tff(f68359,plain,(
% 59.09/9.97    spl2737_828 <=> pp(fTrue)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_828])])).
% 59.09/9.97  tff(f90037,plain,(
% 59.09/9.97    spl2737_3541 | spl2737_3542),
% 59.09/9.97    inference(avatar_split_clause,[],[f53987,f90035,f90032])).
% 59.09/9.97  tff(f90035,plain,(
% 59.09/9.97    spl2737_3542 <=> ! [X0 : $tType,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,sK2284(X0,X1))) | ~pp(aa(X0,bool,X1,fChoice(X0,X1))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3542])])).
% 59.09/9.97  tff(f53987,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,sK2284(X0,X1))) | ~pp(X2) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))) )),
% 59.09/9.97    inference(duplicate_literal_removal,[],[f48270])).
% 59.09/9.97  tff(f48270,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,sK2284(X0,X1))) | ~pp(X2) | ~pp(X2) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33086])).
% 59.09/9.97  tff(f33086,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : (((pp(aa(X0,bool,X1,sK2284(X0,X1))) | ~pp(X2)) & (pp(X2) | ! [X4 : X0] : ~pp(aa(X0,bool,X1,X4)))) | ((~pp(X2) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))) & (pp(X2) | pp(aa(X0,bool,X1,fChoice(X0,X1))))))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2284])],[f33084,f33085])).
% 59.09/9.97  tff(f33085,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X3 : X0] : pp(aa(X0,bool,X1,X3)) => pp(aa(X0,bool,X1,sK2284(X0,X1))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33084,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : (((? [X3 : X0] : pp(aa(X0,bool,X1,X3)) | ~pp(X2)) & (pp(X2) | ! [X4 : X0] : ~pp(aa(X0,bool,X1,X4)))) | ((~pp(X2) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))) & (pp(X2) | pp(aa(X0,bool,X1,fChoice(X0,X1))))))),
% 59.09/9.97    inference(rectify,[],[f33083])).
% 59.09/9.97  tff(f33083,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : (((? [X3 : X0] : pp(aa(X0,bool,X1,X3)) | ~pp(X2)) & (pp(X2) | ! [X3 : X0] : ~pp(aa(X0,bool,X1,X3)))) | ((~pp(X2) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))) & (pp(X2) | pp(aa(X0,bool,X1,fChoice(X0,X1))))))),
% 59.09/9.97    inference(nnf_transformation,[],[f26215])).
% 59.09/9.97  tff(f26215,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : ((? [X3 : X0] : pp(aa(X0,bool,X1,X3)) <=> pp(X2)) | (pp(aa(X0,bool,X1,fChoice(X0,X1))) <~> pp(X2)))),
% 59.09/9.97    inference(ennf_transformation,[],[f17388])).
% 59.09/9.97  tff(f17388,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : ((pp(aa(X0,bool,X1,fChoice(X0,X1))) <=> pp(X2)) => (? [X3 : X0] : pp(aa(X0,bool,X1,X3)) <=> pp(X2)))),
% 59.09/9.97    inference(rectify,[],[f4038])).
% 59.09/9.97  tff(f4038,axiom,(
% 59.09/9.97    ! [X0 : $tType,X17 : fun(X0,bool),X30 : bool] : ((pp(aa(X0,bool,X17,fChoice(X0,X17))) <=> pp(X30)) => (? [X114 : X0] : pp(aa(X0,bool,X17,X114)) <=> pp(X30)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4037_verit__sko__ex_H)).
% 59.09/9.97  tff(f90012,plain,(
% 59.09/9.97    spl2737_3540 | ~spl2737_3539),
% 59.09/9.97    inference(avatar_split_clause,[],[f90008,f90005,f90010])).
% 59.09/9.97  tff(f90010,plain,(
% 59.09/9.97    spl2737_3540 <=> ! [X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP358(zero_zero(int),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3540])])).
% 59.09/9.97  tff(f90005,plain,(
% 59.09/9.97    spl2737_3539 <=> ! [X1 : int] : (sP358(zero_zero(int),X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3539])])).
% 59.09/9.97  tff(f90008,plain,(
% 59.09/9.97    ( ! [X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | sP358(zero_zero(int),X1)) ) | ~spl2737_3539),
% 59.09/9.97    inference(forward_demodulation,[],[f90006,f50171])).
% 59.09/9.97  tff(f90006,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP358(zero_zero(int),X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) ) | ~spl2737_3539),
% 59.09/9.97    inference(avatar_component_clause,[],[f90005])).
% 59.09/9.97  tff(f90007,plain,(
% 59.09/9.97    spl2737_3539),
% 59.09/9.97    inference(avatar_split_clause,[],[f53415,f90005])).
% 59.09/9.97  tff(f53415,plain,(
% 59.09/9.97    ( ! [X1 : int] : (sP358(zero_zero(int),X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) )),
% 59.09/9.97    inference(equality_resolution,[],[f46729])).
% 59.09/9.97  tff(f46729,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (sP358(X0,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | zero_zero(int) != X0) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32262])).
% 59.09/9.97  tff(f32262,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : ((sP358(X0,X1) | (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | zero_zero(int) != X0) & ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & zero_zero(int) = X0) | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~sP358(X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f32261])).
% 59.09/9.97  tff(f32261,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int] : ((sP358(X1,X0) | (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | zero_zero(int) != X1) & ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & zero_zero(int) = X1) | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~sP358(X1,X0)))),
% 59.09/9.97    inference(flattening,[],[f32260])).
% 59.09/9.97  tff(f32260,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int] : ((sP358(X1,X0) | (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | zero_zero(int) != X1) & ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)))) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & zero_zero(int) = X1) | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0))) | ~sP358(X1,X0)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27628])).
% 59.09/9.97  tff(f27628,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int] : (sP358(X1,X0) <=> (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & zero_zero(int) = X1) | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP358])])).
% 59.09/9.97  tff(f89991,plain,(
% 59.09/9.97    spl2737_3538 | ~spl2737_3537),
% 59.09/9.97    inference(avatar_split_clause,[],[f89987,f89984,f89989])).
% 59.09/9.97  tff(f89989,plain,(
% 59.09/9.97    spl2737_3538 <=> ! [X2 : int,X1 : int] : zero_zero(int) = modulo_modulo(int,aa(int,int,combc(int,int,int,times_times(int),X2),X1),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3538])])).
% 59.09/9.97  tff(f89984,plain,(
% 59.09/9.97    spl2737_3537 <=> ! [X2 : int,X1 : int] : zero_zero(int) = modulo_modulo(int,aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3537])])).
% 59.09/9.97  tff(f89987,plain,(
% 59.09/9.97    ( ! [X2 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,aa(int,int,combc(int,int,int,times_times(int),X2),X1),X1)) ) | ~spl2737_3537),
% 59.09/9.97    inference(forward_demodulation,[],[f89985,f50171])).
% 59.09/9.97  tff(f89985,plain,(
% 59.09/9.97    ( ! [X2 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2),X1)) ) | ~spl2737_3537),
% 59.09/9.97    inference(avatar_component_clause,[],[f89984])).
% 59.09/9.97  tff(f89986,plain,(
% 59.09/9.97    spl2737_3537),
% 59.09/9.97    inference(avatar_split_clause,[],[f53321,f89984])).
% 59.09/9.97  tff(f53321,plain,(
% 59.09/9.97    ( ! [X2 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2),X1)) )),
% 59.09/9.97    inference(equality_resolution,[],[f46367])).
% 59.09/9.97  tff(f46367,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) | aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32031])).
% 59.09/9.97  tff(f32031,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : ((zero_zero(int) = modulo_modulo(int,X0,X1) | ! [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) & (aa(int,int,aa(int,fun(int,int),times_times(int),X1),sK1948(X0,X1)) = X0 | zero_zero(int) != modulo_modulo(int,X0,X1)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1948])],[f32029,f32030])).
% 59.09/9.97  tff(f32030,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : (? [X3 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X3) = X0 => aa(int,int,aa(int,fun(int,int),times_times(int),X1),sK1948(X0,X1)) = X0)),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f32029,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : ((zero_zero(int) = modulo_modulo(int,X0,X1) | ! [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) & (? [X3 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X3) = X0 | zero_zero(int) != modulo_modulo(int,X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f32028])).
% 59.09/9.97  tff(f32028,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : ((zero_zero(int) = modulo_modulo(int,X0,X1) | ! [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) != X0) & (? [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) = X0 | zero_zero(int) != modulo_modulo(int,X0,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f16468])).
% 59.09/9.97  tff(f16468,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : (zero_zero(int) = modulo_modulo(int,X0,X1) <=> ? [X2 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2) = X0)),
% 59.09/9.97    inference(rectify,[],[f1868])).
% 59.09/9.97  tff(f1868,axiom,(
% 59.09/9.97    ! [X9 : int,X53 : int] : (zero_zero(int) = modulo_modulo(int,X9,X53) <=> ? [X142 : int] : aa(int,int,aa(int,fun(int,int),times_times(int),X53),X142) = X9)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1867_zmod__eq__0__iff)).
% 59.09/9.97  tff(f89973,plain,(
% 59.09/9.97    spl2737_3536 | ~spl2737_3535),
% 59.09/9.97    inference(avatar_split_clause,[],[f89969,f89966,f89971])).
% 59.09/9.97  tff(f89971,plain,(
% 59.09/9.97    spl2737_3536 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),X2),zero_zero(X0)) | ~semiri3467727345109120633visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3536])])).
% 59.09/9.97  tff(f89966,plain,(
% 59.09/9.97    spl2737_3535 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~semiri3467727345109120633visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3535])])).
% 59.09/9.97  tff(f89969,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),X2),zero_zero(X0)) | ~semiri3467727345109120633visors(X0)) ) | ~spl2737_3535),
% 59.09/9.97    inference(forward_demodulation,[],[f89967,f50171])).
% 59.09/9.97  tff(f89967,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~semiri3467727345109120633visors(X0)) ) | ~spl2737_3535),
% 59.09/9.97    inference(avatar_component_clause,[],[f89966])).
% 59.09/9.97  tff(f89968,plain,(
% 59.09/9.97    spl2737_3535),
% 59.09/9.97    inference(avatar_split_clause,[],[f52981,f89966])).
% 59.09/9.97  tff(f52981,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~semiri3467727345109120633visors(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f41312])).
% 59.09/9.97  tff(f41312,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) != X1 | ~semiri3467727345109120633visors(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f29688])).
% 59.09/9.97  tff(f29688,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) | ~semiri3467727345109120633visors(X0))),
% 59.09/9.97    inference(flattening,[],[f29687])).
% 59.09/9.97  tff(f29687,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & ((zero_zero(X0) = X2 | zero_zero(X0) = X1) | zero_zero(X0) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) | ~semiri3467727345109120633visors(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f21813])).
% 59.09/9.97  tff(f21813,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)) | ~semiri3467727345109120633visors(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f13299])).
% 59.09/9.97  tff(f13299,plain,(
% 59.09/9.97    ! [X0 : $tType] : (semiri3467727345109120633visors(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)))),
% 59.09/9.97    inference(rectify,[],[f934])).
% 59.09/9.97  tff(f934,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (semiri3467727345109120633visors(X0) => ! [X7 : X0,X49 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49) <=> (zero_zero(X0) = X49 | zero_zero(X0) = X7)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_933_mult__eq__0__iff)).
% 59.09/9.97  tff(f89955,plain,(
% 59.09/9.97    spl2737_3534 | ~spl2737_3533),
% 59.09/9.97    inference(avatar_split_clause,[],[f89951,f89948,f89953])).
% 59.09/9.97  tff(f89953,plain,(
% 59.09/9.97    spl2737_3534 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),zero_zero(X0)),X1) | ~semiri3467727345109120633visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3534])])).
% 59.09/9.97  tff(f89948,plain,(
% 59.09/9.97    spl2737_3533 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~semiri3467727345109120633visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3533])])).
% 59.09/9.97  tff(f89951,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),zero_zero(X0)),X1) | ~semiri3467727345109120633visors(X0)) ) | ~spl2737_3533),
% 59.09/9.97    inference(forward_demodulation,[],[f89949,f50171])).
% 59.09/9.97  tff(f89949,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~semiri3467727345109120633visors(X0)) ) | ~spl2737_3533),
% 59.09/9.97    inference(avatar_component_clause,[],[f89948])).
% 59.09/9.97  tff(f89950,plain,(
% 59.09/9.97    spl2737_3533),
% 59.09/9.97    inference(avatar_split_clause,[],[f52980,f89948])).
% 59.09/9.97  tff(f52980,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~semiri3467727345109120633visors(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f41313])).
% 59.09/9.97  tff(f41313,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) != X2 | ~semiri3467727345109120633visors(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f29688])).
% 59.09/9.97  tff(f89941,plain,(
% 59.09/9.97    spl2737_3532 | ~spl2737_3531),
% 59.09/9.97    inference(avatar_split_clause,[],[f89937,f89934,f89939])).
% 59.09/9.97  tff(f89939,plain,(
% 59.09/9.97    spl2737_3532 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),X2),zero_zero(X0)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3532])])).
% 59.09/9.97  tff(f89934,plain,(
% 59.09/9.97    spl2737_3531 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3531])])).
% 59.09/9.97  tff(f89937,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),X2),zero_zero(X0)) | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3531),
% 59.09/9.97    inference(forward_demodulation,[],[f89935,f50171])).
% 59.09/9.97  tff(f89935,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3531),
% 59.09/9.97    inference(avatar_component_clause,[],[f89934])).
% 59.09/9.97  tff(f89936,plain,(
% 59.09/9.97    spl2737_3531),
% 59.09/9.97    inference(avatar_split_clause,[],[f52856,f89934])).
% 59.09/9.97  tff(f52856,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X2) | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f40345])).
% 59.09/9.97  tff(f40345,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | zero_zero(X0) != X1 | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f29410])).
% 59.09/9.97  tff(f29410,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | (one_one(X0) != X2 & zero_zero(X0) != X1)) & (one_one(X0) = X2 | zero_zero(X0) = X1 | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X1)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    inference(flattening,[],[f29409])).
% 59.09/9.97  tff(f29409,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | (one_one(X0) != X2 & zero_zero(X0) != X1)) & ((one_one(X0) = X2 | zero_zero(X0) = X1) | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X1)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f20956])).
% 59.09/9.97  tff(f20956,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 <=> (one_one(X0) = X2 | zero_zero(X0) = X1)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f12643])).
% 59.09/9.97  tff(f12643,plain,(
% 59.09/9.97    ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 <=> (one_one(X0) = X2 | zero_zero(X0) = X1)))),
% 59.09/9.97    inference(rectify,[],[f956])).
% 59.09/9.97  tff(f956,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X50 : X0,X49 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X49) = X50 <=> (one_one(X0) = X49 | zero_zero(X0) = X50)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_955_mult__cancel__left1)).
% 59.09/9.97  tff(f89927,plain,(
% 59.09/9.97    spl2737_3530 | ~spl2737_3529),
% 59.09/9.97    inference(avatar_split_clause,[],[f89923,f89920,f89925])).
% 59.09/9.97  tff(f89925,plain,(
% 59.09/9.97    spl2737_3530 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),zero_zero(X0)),X1) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3530])])).
% 59.09/9.97  tff(f89920,plain,(
% 59.09/9.97    spl2737_3529 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3529])])).
% 59.09/9.97  tff(f89923,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),zero_zero(X0)),X1) | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3529),
% 59.09/9.97    inference(forward_demodulation,[],[f89921,f50171])).
% 59.09/9.97  tff(f89921,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3529),
% 59.09/9.97    inference(avatar_component_clause,[],[f89920])).
% 59.09/9.97  tff(f89922,plain,(
% 59.09/9.97    spl2737_3529),
% 59.09/9.97    inference(avatar_split_clause,[],[f52854,f89920])).
% 59.09/9.97  tff(f52854,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f40342])).
% 59.09/9.97  tff(f40342,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | zero_zero(X0) != X2 | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f29408])).
% 59.09/9.97  tff(f29408,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | (one_one(X0) != X1 & zero_zero(X0) != X2)) & (one_one(X0) = X1 | zero_zero(X0) = X2 | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X2)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    inference(flattening,[],[f29407])).
% 59.09/9.97  tff(f29407,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | (one_one(X0) != X1 & zero_zero(X0) != X2)) & ((one_one(X0) = X1 | zero_zero(X0) = X2) | aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) != X2)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f20955])).
% 59.09/9.97  tff(f20955,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 <=> (one_one(X0) = X1 | zero_zero(X0) = X2)) | ~ring_15535105094025558882visors(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f12642])).
% 59.09/9.97  tff(f12642,plain,(
% 59.09/9.97    ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 <=> (one_one(X0) = X1 | zero_zero(X0) = X2)))),
% 59.09/9.97    inference(rectify,[],[f953])).
% 59.09/9.97  tff(f953,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (ring_15535105094025558882visors(X0) => ! [X7 : X0,X50 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50) = X50 <=> (one_one(X0) = X7 | zero_zero(X0) = X50)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_952_mult__cancel__right2)).
% 59.09/9.97  tff(f89918,plain,(
% 59.09/9.97    spl2737_3528),
% 59.09/9.97    inference(avatar_split_clause,[],[f52758,f89916])).
% 59.09/9.97  tff(f89916,plain,(
% 59.09/9.97    spl2737_3528 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | euclid7384307370059645450egment(X0,X1) != euclid7384307370059645450egment(X0,zero_zero(X0)) | ~euclid3128863361964157862miring(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3528])])).
% 59.09/9.97  tff(f52758,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | euclid7384307370059645450egment(X0,X1) != euclid7384307370059645450egment(X0,zero_zero(X0)) | ~euclid3128863361964157862miring(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f39092])).
% 59.09/9.97  tff(f39092,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | zero_zero(X0) != X2 | euclid7384307370059645450egment(X0,X1) != euclid7384307370059645450egment(X0,X2) | ~euclid3128863361964157862miring(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28956])).
% 59.09/9.97  tff(f28956,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((zero_zero(X0) = divide_divide(X0,X1,X2) | (zero_zero(X0) != X2 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X1)),aa(X0,nat,euclid6346220572633701492n_size(X0),X2))))) & (zero_zero(X0) = X2 | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X1)),aa(X0,nat,euclid6346220572633701492n_size(X0),X2))) | zero_zero(X0) != divide_divide(X0,X1,X2))) | euclid7384307370059645450egment(X0,X1) != euclid7384307370059645450egment(X0,X2)) | ~euclid3128863361964157862miring(X0))),
% 59.09/9.97    inference(flattening,[],[f28955])).
% 59.09/9.97  tff(f28955,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((zero_zero(X0) = divide_divide(X0,X1,X2) | (zero_zero(X0) != X2 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X1)),aa(X0,nat,euclid6346220572633701492n_size(X0),X2))))) & ((zero_zero(X0) = X2 | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X1)),aa(X0,nat,euclid6346220572633701492n_size(X0),X2)))) | zero_zero(X0) != divide_divide(X0,X1,X2))) | euclid7384307370059645450egment(X0,X1) != euclid7384307370059645450egment(X0,X2)) | ~euclid3128863361964157862miring(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f20195])).
% 59.09/9.97  tff(f20195,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = divide_divide(X0,X1,X2) <=> (zero_zero(X0) = X2 | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X1)),aa(X0,nat,euclid6346220572633701492n_size(X0),X2))))) | euclid7384307370059645450egment(X0,X1) != euclid7384307370059645450egment(X0,X2)) | ~euclid3128863361964157862miring(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f11989])).
% 59.09/9.97  tff(f11989,plain,(
% 59.09/9.97    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X1 : X0,X2 : X0] : (euclid7384307370059645450egment(X0,X1) = euclid7384307370059645450egment(X0,X2) => (zero_zero(X0) = divide_divide(X0,X1,X2) <=> (zero_zero(X0) = X2 | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X1)),aa(X0,nat,euclid6346220572633701492n_size(X0),X2)))))))),
% 59.09/9.97    inference(rectify,[],[f7048])).
% 59.09/9.97  tff(f7048,axiom,(
% 59.09/9.97    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X7 : X0,X49 : X0] : (euclid7384307370059645450egment(X0,X49) = euclid7384307370059645450egment(X0,X7) => (zero_zero(X0) = divide_divide(X0,X7,X49) <=> (zero_zero(X0) = X49 | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X7)),aa(X0,nat,euclid6346220572633701492n_size(X0),X49)))))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7047_unique__euclidean__semiring__class_Odiv__eq__0__iff)).
% 59.09/9.97  tff(f89908,plain,(
% 59.09/9.97    spl2737_3527 | ~spl2737_3526),
% 59.09/9.97    inference(avatar_split_clause,[],[f89904,f89901,f89906])).
% 59.09/9.97  tff(f89906,plain,(
% 59.09/9.97    spl2737_3527 <=> ! [X1 : $tType,X2 : X1] : sP107(X1,zero_zero(X1),X2,aa(X1,X1,combc(X1,X1,X1,times_times(X1),X2),zero_zero(X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3527])])).
% 59.09/9.97  tff(f89901,plain,(
% 59.09/9.97    spl2737_3526 <=> ! [X1 : $tType,X2 : X1] : sP107(X1,zero_zero(X1),X2,aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3526])])).
% 59.09/9.97  tff(f89904,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1] : (sP107(X1,zero_zero(X1),X2,aa(X1,X1,combc(X1,X1,X1,times_times(X1),X2),zero_zero(X1)))) ) | ~spl2737_3526),
% 59.09/9.97    inference(forward_demodulation,[],[f89902,f50171])).
% 59.09/9.97  tff(f89902,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1] : (sP107(X1,zero_zero(X1),X2,aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2))) ) | ~spl2737_3526),
% 59.09/9.97    inference(avatar_component_clause,[],[f89901])).
% 59.09/9.97  tff(f89903,plain,(
% 59.09/9.97    spl2737_3526),
% 59.09/9.97    inference(avatar_split_clause,[],[f52690,f89901])).
% 59.09/9.97  tff(f52690,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1] : (sP107(X1,zero_zero(X1),X2,aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2))) )),
% 59.09/9.97    inference(equality_resolution,[],[f52689])).
% 59.09/9.97  tff(f52689,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (sP107(X1,zero_zero(X1),X2,X3) | aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2) != X3) )),
% 59.09/9.97    inference(equality_resolution,[],[f38942])).
% 59.09/9.97  tff(f38942,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (sP107(X1,X0,X2,X3) | zero_zero(X1) != X0 | aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) != X3) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28902])).
% 59.09/9.97  tff(f28902,plain,(
% 59.09/9.97    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP107(X1,X0,X2,X3) | (zero_zero(X1) != X0 & zero_zero(X1) = X2) | (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) != X3 & zero_zero(X1) != X2)) & (((zero_zero(X1) = X0 | zero_zero(X1) != X2) & (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) = X3 | zero_zero(X1) = X2)) | ~sP107(X1,X0,X2,X3)))),
% 59.09/9.97    inference(rectify,[],[f28901])).
% 59.09/9.97  tff(f28901,plain,(
% 59.09/9.97    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : ((sP107(X0,X1,X3,X2) | (zero_zero(X0) != X1 & zero_zero(X0) = X3) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) != X2 & zero_zero(X0) != X3)) & (((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2 | zero_zero(X0) = X3)) | ~sP107(X0,X1,X3,X2)))),
% 59.09/9.97    inference(flattening,[],[f28900])).
% 59.09/9.97  tff(f28900,plain,(
% 59.09/9.97    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : ((sP107(X0,X1,X3,X2) | ((zero_zero(X0) != X1 & zero_zero(X0) = X3) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) != X2 & zero_zero(X0) != X3))) & (((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2 | zero_zero(X0) = X3)) | ~sP107(X0,X1,X3,X2)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27244])).
% 59.09/9.97  tff(f27244,plain,(
% 59.09/9.97    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : (sP107(X0,X1,X3,X2) <=> ((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2 | zero_zero(X0) = X3)))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])])).
% 59.09/9.97  tff(f89893,plain,(
% 59.09/9.97    spl2737_3525 | ~spl2737_3524),
% 59.09/9.97    inference(avatar_split_clause,[],[f89889,f89886,f89891])).
% 59.09/9.97  tff(f89891,plain,(
% 59.09/9.97    spl2737_3525 <=> ! [X1 : $tType,X2 : X1] : sP105(X1,zero_zero(X1),X2,aa(X1,X1,combc(X1,X1,X1,times_times(X1),X2),zero_zero(X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3525])])).
% 59.09/9.97  tff(f89886,plain,(
% 59.09/9.97    spl2737_3524 <=> ! [X1 : $tType,X2 : X1] : sP105(X1,zero_zero(X1),X2,aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3524])])).
% 59.09/9.97  tff(f89889,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1] : (sP105(X1,zero_zero(X1),X2,aa(X1,X1,combc(X1,X1,X1,times_times(X1),X2),zero_zero(X1)))) ) | ~spl2737_3524),
% 59.09/9.97    inference(forward_demodulation,[],[f89887,f50171])).
% 59.09/9.97  tff(f89887,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1] : (sP105(X1,zero_zero(X1),X2,aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2))) ) | ~spl2737_3524),
% 59.09/9.97    inference(avatar_component_clause,[],[f89886])).
% 59.09/9.97  tff(f89888,plain,(
% 59.09/9.97    spl2737_3524),
% 59.09/9.97    inference(avatar_split_clause,[],[f52682,f89886])).
% 59.09/9.97  tff(f52682,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1] : (sP105(X1,zero_zero(X1),X2,aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2))) )),
% 59.09/9.97    inference(equality_resolution,[],[f52681])).
% 59.09/9.97  tff(f52681,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (sP105(X1,zero_zero(X1),X2,X3) | aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2) != X3) )),
% 59.09/9.97    inference(equality_resolution,[],[f38933])).
% 59.09/9.97  tff(f38933,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (sP105(X1,X0,X2,X3) | zero_zero(X1) != X0 | aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) != X3) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28898])).
% 59.09/9.97  tff(f28898,plain,(
% 59.09/9.97    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP105(X1,X0,X2,X3) | (zero_zero(X1) != X0 & zero_zero(X1) = X2) | (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) != X3 & zero_zero(X1) != X2)) & (((zero_zero(X1) = X0 | zero_zero(X1) != X2) & (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) = X3 | zero_zero(X1) = X2)) | ~sP105(X1,X0,X2,X3)))),
% 59.09/9.97    inference(rectify,[],[f28897])).
% 59.09/9.97  tff(f28897,plain,(
% 59.09/9.97    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP105(X0,X3,X2,X1) | (zero_zero(X0) != X3 & zero_zero(X0) = X2) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) != X1 & zero_zero(X0) != X2)) & (((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1 | zero_zero(X0) = X2)) | ~sP105(X0,X3,X2,X1)))),
% 59.09/9.97    inference(flattening,[],[f28896])).
% 59.09/9.97  tff(f28896,plain,(
% 59.09/9.97    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP105(X0,X3,X2,X1) | ((zero_zero(X0) != X3 & zero_zero(X0) = X2) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) != X1 & zero_zero(X0) != X2))) & (((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1 | zero_zero(X0) = X2)) | ~sP105(X0,X3,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27241])).
% 59.09/9.97  tff(f27241,plain,(
% 59.09/9.97    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP105(X0,X3,X2,X1) <=> ((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1 | zero_zero(X0) = X2)))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])])).
% 59.09/9.97  tff(f89879,plain,(
% 59.09/9.97    spl2737_3523 | ~spl2737_3522),
% 59.09/9.97    inference(avatar_split_clause,[],[f89875,f89872,f89877])).
% 59.09/9.97  tff(f89877,plain,(
% 59.09/9.97    spl2737_3523 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (sP29(X0,aa(X0,X0,combc(X0,X0,X0,gcd_gcd(X0),X3),X2),X3,X2) | ~sP30(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3523])])).
% 59.09/9.97  tff(f89872,plain,(
% 59.09/9.97    spl2737_3522 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (sP29(X0,aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3),X3,X2) | ~sP30(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3522])])).
% 59.09/9.97  tff(f89875,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sP29(X0,aa(X0,X0,combc(X0,X0,X0,gcd_gcd(X0),X3),X2),X3,X2) | ~sP30(X0)) ) | ~spl2737_3522),
% 59.09/9.97    inference(forward_demodulation,[],[f89873,f50171])).
% 59.09/9.97  tff(f89873,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sP29(X0,aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3),X3,X2) | ~sP30(X0)) ) | ~spl2737_3522),
% 59.09/9.97    inference(avatar_component_clause,[],[f89872])).
% 59.09/9.97  tff(f89874,plain,(
% 59.09/9.97    spl2737_3522),
% 59.09/9.97    inference(avatar_split_clause,[],[f52603,f89872])).
% 59.09/9.97  tff(f52603,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sP29(X0,aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3),X3,X2) | ~sP30(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f37460])).
% 59.09/9.97  tff(f37460,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (sP29(X0,X1,X3,X2) | aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3) != X1 | ~sP30(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28412])).
% 59.09/9.97  tff(f28412,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((sP29(X0,X1,X3,X2) | aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3) != X1) & (aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3) = X1 | ~sP29(X0,X1,X3,X2))) | ~sP30(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27136])).
% 59.09/9.97  tff(f27136,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (sP29(X0,X1,X3,X2) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3) = X1) | ~sP30(X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])])).
% 59.09/9.97  tff(f89865,plain,(
% 59.09/9.97    spl2737_3521 | ~spl2737_3520),
% 59.09/9.97    inference(avatar_split_clause,[],[f89861,f89858,f89863])).
% 59.09/9.97  tff(f89863,plain,(
% 59.09/9.97    spl2737_3521 <=> ! [X0 : $tType,X1 : X0,X3 : X0] : (sP27(X0,aa(X0,X0,combc(X0,X0,X0,gcd_lcm(X0),X3),X1),X3,X1) | ~sP28(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3521])])).
% 59.09/9.97  tff(f89858,plain,(
% 59.09/9.97    spl2737_3520 <=> ! [X0 : $tType,X1 : X0,X3 : X0] : (sP27(X0,aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3),X3,X1) | ~sP28(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3520])])).
% 59.09/9.97  tff(f89861,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (sP27(X0,aa(X0,X0,combc(X0,X0,X0,gcd_lcm(X0),X3),X1),X3,X1) | ~sP28(X0)) ) | ~spl2737_3520),
% 59.09/9.97    inference(forward_demodulation,[],[f89859,f50171])).
% 59.09/9.97  tff(f89859,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (sP27(X0,aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3),X3,X1) | ~sP28(X0)) ) | ~spl2737_3520),
% 59.09/9.97    inference(avatar_component_clause,[],[f89858])).
% 59.09/9.97  tff(f89860,plain,(
% 59.09/9.97    spl2737_3520),
% 59.09/9.97    inference(avatar_split_clause,[],[f52602,f89858])).
% 59.09/9.97  tff(f52602,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (sP27(X0,aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3),X3,X1) | ~sP28(X0)) )),
% 59.09/9.97    inference(equality_resolution,[],[f37450])).
% 59.09/9.97  tff(f37450,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (sP27(X0,X2,X3,X1) | aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3) != X2 | ~sP28(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f28406])).
% 59.09/9.97  tff(f28406,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((sP27(X0,X2,X3,X1) | aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3) = X2 | ~sP27(X0,X2,X3,X1))) | ~sP28(X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27133])).
% 59.09/9.97  tff(f27133,plain,(
% 59.09/9.97    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (sP27(X0,X2,X3,X1) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3) = X2) | ~sP28(X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])])).
% 59.09/9.97  tff(f89856,plain,(
% 59.09/9.97    spl2737_3519),
% 59.09/9.97    inference(avatar_split_clause,[],[f50163,f89854])).
% 59.09/9.97  tff(f89854,plain,(
% 59.09/9.97    spl2737_3519 <=> ! [X1 : $tType,X4 : X1,X0 : set(product_prod(X1,X1)),X3 : X1,X2 : nat] : (aa(nat,X1,sK2687(X1,X0,X2,X3,X4),X2) = X3 | ~sP547(X1,X0,X2,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3519])])).
% 59.09/9.97  tff(f50163,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : nat,X3 : X1,X0 : set(product_prod(X1,X1)),X4 : X1] : (aa(nat,X1,sK2687(X1,X0,X2,X3,X4),X2) = X3 | ~sP547(X1,X0,X2,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34406])).
% 59.09/9.97  tff(f34406,plain,(
% 59.09/9.97    ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : nat,X3 : X1,X4 : X1] : ((sP547(X1,X0,X2,X3,X4) | ! [X5 : fun(nat,X1)] : ((~pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,X5,sK2686(X1,X0,X2,X5))),aa(nat,X1,X5,aa(nat,nat,suc,sK2686(X1,X0,X2,X5))))),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2686(X1,X0,X2,X5)),X2))) | aa(nat,X1,X5,X2) != X3 | aa(nat,X1,X5,zero_zero(nat)) != X4)) & ((! [X8 : nat] : (pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,sK2687(X1,X0,X2,X3,X4),X8)),aa(nat,X1,sK2687(X1,X0,X2,X3,X4),aa(nat,nat,suc,X8)))),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X1,sK2687(X1,X0,X2,X3,X4),X2) = X3 & aa(nat,X1,sK2687(X1,X0,X2,X3,X4),zero_zero(nat)) = X4) | ~sP547(X1,X0,X2,X3,X4)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2686,sK2687])],[f34403,f34405,f34404])).
% 59.09/9.97  tff(f34404,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : nat,X5 : fun(nat,X1)] : (? [X6 : nat] : (~pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,X5,X6)),aa(nat,X1,X5,aa(nat,nat,suc,X6)))),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) => (~pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,X5,sK2686(X1,X0,X2,X5))),aa(nat,X1,X5,aa(nat,nat,suc,sK2686(X1,X0,X2,X5))))),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2686(X1,X0,X2,X5)),X2))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34405,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : nat,X3 : X1,X4 : X1] : (? [X7 : fun(nat,X1)] : (! [X8 : nat] : (pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,X7,X8)),aa(nat,X1,X7,aa(nat,nat,suc,X8)))),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X1,X7,X2) = X3 & aa(nat,X1,X7,zero_zero(nat)) = X4) => (! [X8 : nat] : (pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,sK2687(X1,X0,X2,X3,X4),X8)),aa(nat,X1,sK2687(X1,X0,X2,X3,X4),aa(nat,nat,suc,X8)))),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X1,sK2687(X1,X0,X2,X3,X4),X2) = X3 & aa(nat,X1,sK2687(X1,X0,X2,X3,X4),zero_zero(nat)) = X4))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34403,plain,(
% 59.09/9.97    ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : nat,X3 : X1,X4 : X1] : ((sP547(X1,X0,X2,X3,X4) | ! [X5 : fun(nat,X1)] : (? [X6 : nat] : (~pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,X5,X6)),aa(nat,X1,X5,aa(nat,nat,suc,X6)))),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) | aa(nat,X1,X5,X2) != X3 | aa(nat,X1,X5,zero_zero(nat)) != X4)) & (? [X7 : fun(nat,X1)] : (! [X8 : nat] : (pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,aa(nat,X1,X7,X8)),aa(nat,X1,X7,aa(nat,nat,suc,X8)))),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X1,X7,X2) = X3 & aa(nat,X1,X7,zero_zero(nat)) = X4) | ~sP547(X1,X0,X2,X3,X4)))),
% 59.09/9.97    inference(rectify,[],[f34402])).
% 59.09/9.97  tff(f34402,plain,(
% 59.09/9.97    ! [X4 : set(product_prod(X0,X0)),X0 : $tType,X3 : nat,X2 : X0,X1 : X0] : ((sP547(X0,X4,X3,X2,X1) | ! [X5 : fun(nat,X0)] : (? [X6 : nat] : (~pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))),X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X3))) | aa(nat,X0,X5,X3) != X2 | aa(nat,X0,X5,zero_zero(nat)) != X1)) & (? [X5 : fun(nat,X0)] : (! [X6 : nat] : (pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X3))) & aa(nat,X0,X5,X3) = X2 & aa(nat,X0,X5,zero_zero(nat)) = X1) | ~sP547(X0,X4,X3,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27915])).
% 59.09/9.97  tff(f27915,plain,(
% 59.09/9.97    ! [X4 : set(product_prod(X0,X0)),X0 : $tType,X3 : nat,X2 : X0,X1 : X0] : (sP547(X0,X4,X3,X2,X1) <=> ? [X5 : fun(nat,X0)] : (! [X6 : nat] : (pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X3))) & aa(nat,X0,X5,X3) = X2 & aa(nat,X0,X5,zero_zero(nat)) = X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP547])])).
% 59.09/9.97  tff(f89852,plain,(
% 59.09/9.97    spl2737_3518),
% 59.09/9.97    inference(avatar_split_clause,[],[f50144,f89850])).
% 59.09/9.97  tff(f89850,plain,(
% 59.09/9.97    spl2737_3518 <=> ! [X0 : $tType,X4 : X0,X3 : X0,X2 : nat,X1 : fun(X0,fun(X0,bool))] : (aa(nat,X0,sK2682(X0,X1,X2,X3,X4),X2) = X3 | ~sP546(X0,X1,X2,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3518])])).
% 59.09/9.97  tff(f50144,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : nat,X3 : X0,X1 : fun(X0,fun(X0,bool)),X4 : X0] : (aa(nat,X0,sK2682(X0,X1,X2,X3,X4),X2) = X3 | ~sP546(X0,X1,X2,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34385])).
% 59.09/9.97  tff(f34385,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : nat,X3 : X0,X4 : X0] : ((sP546(X0,X1,X2,X3,X4) | ! [X5 : fun(nat,X0)] : ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,X5,sK2681(X0,X1,X2,X5))),aa(nat,X0,X5,aa(nat,nat,suc,sK2681(X0,X1,X2,X5))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2681(X0,X1,X2,X5)),X2))) | aa(nat,X0,X5,X2) != X3 | aa(nat,X0,X5,zero_zero(nat)) != X4)) & ((! [X8 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,sK2682(X0,X1,X2,X3,X4),X8)),aa(nat,X0,sK2682(X0,X1,X2,X3,X4),aa(nat,nat,suc,X8)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X0,sK2682(X0,X1,X2,X3,X4),X2) = X3 & aa(nat,X0,sK2682(X0,X1,X2,X3,X4),zero_zero(nat)) = X4) | ~sP546(X0,X1,X2,X3,X4)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2681,sK2682])],[f34382,f34384,f34383])).
% 59.09/9.97  tff(f34383,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : nat,X5 : fun(nat,X0)] : (? [X6 : nat] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) => (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,X5,sK2681(X0,X1,X2,X5))),aa(nat,X0,X5,aa(nat,nat,suc,sK2681(X0,X1,X2,X5))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2681(X0,X1,X2,X5)),X2))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34384,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : nat,X3 : X0,X4 : X0] : (? [X7 : fun(nat,X0)] : (! [X8 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,X7,X8)),aa(nat,X0,X7,aa(nat,nat,suc,X8)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X0,X7,X2) = X3 & aa(nat,X0,X7,zero_zero(nat)) = X4) => (! [X8 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,sK2682(X0,X1,X2,X3,X4),X8)),aa(nat,X0,sK2682(X0,X1,X2,X3,X4),aa(nat,nat,suc,X8)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X0,sK2682(X0,X1,X2,X3,X4),X2) = X3 & aa(nat,X0,sK2682(X0,X1,X2,X3,X4),zero_zero(nat)) = X4))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34382,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : nat,X3 : X0,X4 : X0] : ((sP546(X0,X1,X2,X3,X4) | ! [X5 : fun(nat,X0)] : (? [X6 : nat] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) | aa(nat,X0,X5,X2) != X3 | aa(nat,X0,X5,zero_zero(nat)) != X4)) & (? [X7 : fun(nat,X0)] : (! [X8 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,aa(nat,X0,X7,X8)),aa(nat,X0,X7,aa(nat,nat,suc,X8)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X2))) & aa(nat,X0,X7,X2) = X3 & aa(nat,X0,X7,zero_zero(nat)) = X4) | ~sP546(X0,X1,X2,X3,X4)))),
% 59.09/9.97    inference(rectify,[],[f34381])).
% 59.09/9.97  tff(f34381,plain,(
% 59.09/9.97    ! [X0 : $tType,X2 : fun(X0,fun(X0,bool)),X1 : nat,X4 : X0,X3 : X0] : ((sP546(X0,X2,X1,X4,X3) | ! [X5 : fun(nat,X0)] : (? [X6 : nat] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) | aa(nat,X0,X5,X1) != X4 | aa(nat,X0,X5,zero_zero(nat)) != X3)) & (? [X5 : fun(nat,X0)] : (! [X6 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(nat,X0,X5,X1) = X4 & aa(nat,X0,X5,zero_zero(nat)) = X3) | ~sP546(X0,X2,X1,X4,X3)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27913])).
% 59.09/9.97  tff(f27913,plain,(
% 59.09/9.97    ! [X0 : $tType,X2 : fun(X0,fun(X0,bool)),X1 : nat,X4 : X0,X3 : X0] : (sP546(X0,X2,X1,X4,X3) <=> ? [X5 : fun(nat,X0)] : (! [X6 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,aa(nat,X0,X5,X6)),aa(nat,X0,X5,aa(nat,nat,suc,X6)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(nat,X0,X5,X1) = X4 & aa(nat,X0,X5,zero_zero(nat)) = X3))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP546])])).
% 59.09/9.97  tff(f89848,plain,(
% 59.09/9.97    spl2737_3517),
% 59.09/9.97    inference(avatar_split_clause,[],[f49962,f89846])).
% 59.09/9.97  tff(f89846,plain,(
% 59.09/9.97    spl2737_3517 <=> ! [X2 : $tType,X4 : nat,X0 : set(product_prod(X2,X2)),X3 : X2,X1 : X2] : (aa(nat,nat,suc,sK2636(X2,X0,X1,X3,X4)) = X4 | ~sP537(X2,X0,X1,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3517])])).
% 59.09/9.97  tff(f49962,plain,(
% 59.09/9.97    ( ! [X2 : $tType,X3 : X2,X0 : set(product_prod(X2,X2)),X1 : X2,X4 : nat] : (aa(nat,nat,suc,sK2636(X2,X0,X1,X3,X4)) = X4 | ~sP537(X2,X0,X1,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34243])).
% 59.09/9.97  tff(f34243,plain,(
% 59.09/9.97    ! [X0 : set(product_prod(X2,X2)),X1 : X2,X2 : $tType,X3 : X2,X4 : nat] : ((pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,sK2635(X2,X0,X1,X3,X4)),X1)),X0)) & pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,X3),sK2635(X2,X0,X1,X3,X4))),aa(set(product_prod(X2,X2)),set(product_prod(X2,X2)),aa(nat,fun(set(product_prod(X2,X2)),set(product_prod(X2,X2))),compow(set(product_prod(X2,X2))),sK2636(X2,X0,X1,X3,X4)),X0))) & aa(nat,nat,suc,sK2636(X2,X0,X1,X3,X4)) = X4) | ~sP537(X2,X0,X1,X3,X4))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2635,sK2636])],[f34241,f34242])).
% 59.09/9.97  tff(f34242,plain,(
% 59.09/9.97    ! [X2 : $tType,X0 : set(product_prod(X2,X2)),X1 : X2,X3 : X2,X4 : nat] : (? [X5 : X2,X6 : nat] : (pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,X5),X1)),X0)) & pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,X3),X5)),aa(set(product_prod(X2,X2)),set(product_prod(X2,X2)),aa(nat,fun(set(product_prod(X2,X2)),set(product_prod(X2,X2))),compow(set(product_prod(X2,X2))),X6),X0))) & aa(nat,nat,suc,X6) = X4) => (pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,sK2635(X2,X0,X1,X3,X4)),X1)),X0)) & pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,X3),sK2635(X2,X0,X1,X3,X4))),aa(set(product_prod(X2,X2)),set(product_prod(X2,X2)),aa(nat,fun(set(product_prod(X2,X2)),set(product_prod(X2,X2))),compow(set(product_prod(X2,X2))),sK2636(X2,X0,X1,X3,X4)),X0))) & aa(nat,nat,suc,sK2636(X2,X0,X1,X3,X4)) = X4))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34241,plain,(
% 59.09/9.97    ! [X0 : set(product_prod(X2,X2)),X1 : X2,X2 : $tType,X3 : X2,X4 : nat] : (? [X5 : X2,X6 : nat] : (pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,X5),X1)),X0)) & pp(aa(set(product_prod(X2,X2)),bool,aa(product_prod(X2,X2),fun(set(product_prod(X2,X2)),bool),member(product_prod(X2,X2)),aa(X2,product_prod(X2,X2),product_Pair(X2,X2,X3),X5)),aa(set(product_prod(X2,X2)),set(product_prod(X2,X2)),aa(nat,fun(set(product_prod(X2,X2)),set(product_prod(X2,X2))),compow(set(product_prod(X2,X2))),X6),X0))) & aa(nat,nat,suc,X6) = X4) | ~sP537(X2,X0,X1,X3,X4))),
% 59.09/9.97    inference(rectify,[],[f34240])).
% 59.09/9.97  tff(f34240,plain,(
% 59.09/9.97    ! [X4 : set(product_prod(X0,X0)),X2 : X0,X0 : $tType,X1 : X0,X3 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X5),X2)),X4)) & pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X5)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(nat,fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),compow(set(product_prod(X0,X0))),X6),X4))) & aa(nat,nat,suc,X6) = X3) | ~sP537(X0,X4,X2,X1,X3))),
% 59.09/9.97    inference(nnf_transformation,[],[f27897])).
% 59.09/9.97  tff(f27897,plain,(
% 59.09/9.97    ! [X4 : set(product_prod(X0,X0)),X2 : X0,X0 : $tType,X1 : X0,X3 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X5),X2)),X4)) & pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X5)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(nat,fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),compow(set(product_prod(X0,X0))),X6),X4))) & aa(nat,nat,suc,X6) = X3) | ~sP537(X0,X4,X2,X1,X3))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP537])])).
% 59.09/9.97  tff(f89844,plain,(
% 59.09/9.97    spl2737_3516),
% 59.09/9.97    inference(avatar_split_clause,[],[f49957,f89842])).
% 59.09/9.97  tff(f89842,plain,(
% 59.09/9.97    spl2737_3516 <=> ! [X1 : $tType,X4 : nat,X0 : set(product_prod(X1,X1)),X3 : X1,X2 : X1] : (aa(nat,nat,suc,sK2634(X1,X0,X2,X3,X4)) = X4 | ~sP536(X1,X0,X2,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3516])])).
% 59.09/9.97  tff(f49957,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : set(product_prod(X1,X1)),X4 : nat] : (aa(nat,nat,suc,sK2634(X1,X0,X2,X3,X4)) = X4 | ~sP536(X1,X0,X2,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34239])).
% 59.09/9.97  tff(f34239,plain,(
% 59.09/9.97    ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : X1,X3 : X1,X4 : nat] : ((pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,sK2633(X1,X0,X2,X3,X4)),X2)),aa(set(product_prod(X1,X1)),set(product_prod(X1,X1)),aa(nat,fun(set(product_prod(X1,X1)),set(product_prod(X1,X1))),compow(set(product_prod(X1,X1))),sK2634(X1,X0,X2,X3,X4)),X0))) & pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,X3),sK2633(X1,X0,X2,X3,X4))),X0)) & aa(nat,nat,suc,sK2634(X1,X0,X2,X3,X4)) = X4) | ~sP536(X1,X0,X2,X3,X4))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2633,sK2634])],[f34237,f34238])).
% 59.09/9.97  tff(f34238,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : set(product_prod(X1,X1)),X2 : X1,X3 : X1,X4 : nat] : (? [X5 : X1,X6 : nat] : (pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,X5),X2)),aa(set(product_prod(X1,X1)),set(product_prod(X1,X1)),aa(nat,fun(set(product_prod(X1,X1)),set(product_prod(X1,X1))),compow(set(product_prod(X1,X1))),X6),X0))) & pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,X3),X5)),X0)) & aa(nat,nat,suc,X6) = X4) => (pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,sK2633(X1,X0,X2,X3,X4)),X2)),aa(set(product_prod(X1,X1)),set(product_prod(X1,X1)),aa(nat,fun(set(product_prod(X1,X1)),set(product_prod(X1,X1))),compow(set(product_prod(X1,X1))),sK2634(X1,X0,X2,X3,X4)),X0))) & pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,X3),sK2633(X1,X0,X2,X3,X4))),X0)) & aa(nat,nat,suc,sK2634(X1,X0,X2,X3,X4)) = X4))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34237,plain,(
% 59.09/9.97    ! [X0 : set(product_prod(X1,X1)),X1 : $tType,X2 : X1,X3 : X1,X4 : nat] : (? [X5 : X1,X6 : nat] : (pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,X5),X2)),aa(set(product_prod(X1,X1)),set(product_prod(X1,X1)),aa(nat,fun(set(product_prod(X1,X1)),set(product_prod(X1,X1))),compow(set(product_prod(X1,X1))),X6),X0))) & pp(aa(set(product_prod(X1,X1)),bool,aa(product_prod(X1,X1),fun(set(product_prod(X1,X1)),bool),member(product_prod(X1,X1)),aa(X1,product_prod(X1,X1),product_Pair(X1,X1,X3),X5)),X0)) & aa(nat,nat,suc,X6) = X4) | ~sP536(X1,X0,X2,X3,X4))),
% 59.09/9.97    inference(rectify,[],[f34236])).
% 59.09/9.97  tff(f34236,plain,(
% 59.09/9.97    ! [X4 : set(product_prod(X0,X0)),X0 : $tType,X2 : X0,X1 : X0,X3 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X5),X2)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(nat,fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),compow(set(product_prod(X0,X0))),X6),X4))) & pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X5)),X4)) & aa(nat,nat,suc,X6) = X3) | ~sP536(X0,X4,X2,X1,X3))),
% 59.09/9.97    inference(nnf_transformation,[],[f27895])).
% 59.09/9.97  tff(f27895,plain,(
% 59.09/9.97    ! [X4 : set(product_prod(X0,X0)),X0 : $tType,X2 : X0,X1 : X0,X3 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X5),X2)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(nat,fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),compow(set(product_prod(X0,X0))),X6),X4))) & pp(aa(set(product_prod(X0,X0)),bool,aa(product_prod(X0,X0),fun(set(product_prod(X0,X0)),bool),member(product_prod(X0,X0)),aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X5)),X4)) & aa(nat,nat,suc,X6) = X3) | ~sP536(X0,X4,X2,X1,X3))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP536])])).
% 59.09/9.97  tff(f89840,plain,(
% 59.09/9.97    spl2737_3515),
% 59.09/9.97    inference(avatar_split_clause,[],[f49943,f89838])).
% 59.09/9.97  tff(f89838,plain,(
% 59.09/9.97    spl2737_3515 <=> ! [X2 : $tType,X4 : nat,X0 : X2,X3 : X2,X1 : fun(X2,fun(X2,bool))] : (aa(nat,nat,suc,sK2628(X2,X0,X1,X3,X4)) = X4 | ~sP535(X2,X0,X1,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3515])])).
% 59.09/9.97  tff(f49943,plain,(
% 59.09/9.97    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : fun(X2,fun(X2,bool)),X4 : nat] : (aa(nat,nat,suc,sK2628(X2,X0,X1,X3,X4)) = X4 | ~sP535(X2,X0,X1,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34227])).
% 59.09/9.97  tff(f34227,plain,(
% 59.09/9.97    ! [X0 : X2,X1 : fun(X2,fun(X2,bool)),X2 : $tType,X3 : X2,X4 : nat] : ((pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,sK2627(X2,X0,X1,X3,X4)),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),sK2628(X2,X0,X1,X3,X4)),X1),X3),sK2627(X2,X0,X1,X3,X4))) & aa(nat,nat,suc,sK2628(X2,X0,X1,X3,X4)) = X4) | ~sP535(X2,X0,X1,X3,X4))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2627,sK2628])],[f34225,f34226])).
% 59.09/9.97  tff(f34226,plain,(
% 59.09/9.97    ! [X2 : $tType,X0 : X2,X1 : fun(X2,fun(X2,bool)),X3 : X2,X4 : nat] : (? [X5 : X2,X6 : nat] : (pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X5),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),X6),X1),X3),X5)) & aa(nat,nat,suc,X6) = X4) => (pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,sK2627(X2,X0,X1,X3,X4)),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),sK2628(X2,X0,X1,X3,X4)),X1),X3),sK2627(X2,X0,X1,X3,X4))) & aa(nat,nat,suc,sK2628(X2,X0,X1,X3,X4)) = X4))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34225,plain,(
% 59.09/9.97    ! [X0 : X2,X1 : fun(X2,fun(X2,bool)),X2 : $tType,X3 : X2,X4 : nat] : (? [X5 : X2,X6 : nat] : (pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X5),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),X6),X1),X3),X5)) & aa(nat,nat,suc,X6) = X4) | ~sP535(X2,X0,X1,X3,X4))),
% 59.09/9.97    inference(rectify,[],[f34224])).
% 59.09/9.97  tff(f34224,plain,(
% 59.09/9.97    ! [X4 : X0,X2 : fun(X0,fun(X0,bool)),X0 : $tType,X3 : X0,X1 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X5),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),X6),X2),X3),X5)) & aa(nat,nat,suc,X6) = X1) | ~sP535(X0,X4,X2,X3,X1))),
% 59.09/9.97    inference(nnf_transformation,[],[f27893])).
% 59.09/9.97  tff(f27893,plain,(
% 59.09/9.97    ! [X4 : X0,X2 : fun(X0,fun(X0,bool)),X0 : $tType,X3 : X0,X1 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X5),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),X6),X2),X3),X5)) & aa(nat,nat,suc,X6) = X1) | ~sP535(X0,X4,X2,X3,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP535])])).
% 59.09/9.97  tff(f89836,plain,(
% 59.09/9.97    spl2737_3514),
% 59.09/9.97    inference(avatar_split_clause,[],[f49938,f89834])).
% 59.09/9.97  tff(f89834,plain,(
% 59.09/9.97    spl2737_3514 <=> ! [X2 : $tType,X4 : nat,X0 : X2,X3 : X2,X1 : fun(X2,fun(X2,bool))] : (aa(nat,nat,suc,sK2626(X2,X0,X1,X3,X4)) = X4 | ~sP534(X2,X0,X1,X3,X4))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3514])])).
% 59.09/9.97  tff(f49938,plain,(
% 59.09/9.97    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : fun(X2,fun(X2,bool)),X4 : nat] : (aa(nat,nat,suc,sK2626(X2,X0,X1,X3,X4)) = X4 | ~sP534(X2,X0,X1,X3,X4)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34223])).
% 59.09/9.97  tff(f34223,plain,(
% 59.09/9.97    ! [X0 : X2,X1 : fun(X2,fun(X2,bool)),X2 : $tType,X3 : X2,X4 : nat] : ((pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),sK2626(X2,X0,X1,X3,X4)),X1),sK2625(X2,X0,X1,X3,X4)),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),sK2625(X2,X0,X1,X3,X4))) & aa(nat,nat,suc,sK2626(X2,X0,X1,X3,X4)) = X4) | ~sP534(X2,X0,X1,X3,X4))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2625,sK2626])],[f34221,f34222])).
% 59.09/9.97  tff(f34222,plain,(
% 59.09/9.97    ! [X2 : $tType,X0 : X2,X1 : fun(X2,fun(X2,bool)),X3 : X2,X4 : nat] : (? [X5 : X2,X6 : nat] : (pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),X6),X1),X5),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),X5)) & aa(nat,nat,suc,X6) = X4) => (pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),sK2626(X2,X0,X1,X3,X4)),X1),sK2625(X2,X0,X1,X3,X4)),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),sK2625(X2,X0,X1,X3,X4))) & aa(nat,nat,suc,sK2626(X2,X0,X1,X3,X4)) = X4))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34221,plain,(
% 59.09/9.97    ! [X0 : X2,X1 : fun(X2,fun(X2,bool)),X2 : $tType,X3 : X2,X4 : nat] : (? [X5 : X2,X6 : nat] : (pp(aa(X2,bool,aa(X2,fun(X2,bool),aa(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),aa(nat,fun(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool))),compow(fun(X2,fun(X2,bool))),X6),X1),X5),X0)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),X5)) & aa(nat,nat,suc,X6) = X4) | ~sP534(X2,X0,X1,X3,X4))),
% 59.09/9.97    inference(rectify,[],[f34220])).
% 59.09/9.97  tff(f34220,plain,(
% 59.09/9.97    ! [X4 : X0,X2 : fun(X0,fun(X0,bool)),X0 : $tType,X3 : X0,X1 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),X6),X2),X5),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X3),X5)) & aa(nat,nat,suc,X6) = X1) | ~sP534(X0,X4,X2,X3,X1))),
% 59.09/9.97    inference(nnf_transformation,[],[f27891])).
% 59.09/9.97  tff(f27891,plain,(
% 59.09/9.97    ! [X4 : X0,X2 : fun(X0,fun(X0,bool)),X0 : $tType,X3 : X0,X1 : nat] : (? [X5 : X0,X6 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),X6),X2),X5),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),X2,X3),X5)) & aa(nat,nat,suc,X6) = X1) | ~sP534(X0,X4,X2,X3,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP534])])).
% 59.09/9.97  tff(f89831,plain,(
% 59.09/9.97    spl2737_3513 | ~spl2737_3512),
% 59.09/9.97    inference(avatar_split_clause,[],[f89827,f89824,f89829])).
% 59.09/9.97  tff(f89829,plain,(
% 59.09/9.97    spl2737_3513 <=> ! [X0 : $tType,X4 : X0,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X4),X2) = X4 | ~group(X0,X1,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3513])])).
% 59.09/9.97  tff(f89824,plain,(
% 59.09/9.97    spl2737_3512 <=> ! [X0 : $tType,X4 : X0,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4 | ~group(X0,X1,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3512])])).
% 59.09/9.97  tff(f89827,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0)),X4 : X0] : (aa(X0,X0,combc(X0,X0,X0,X1,X4),X2) = X4 | ~group(X0,X1,X2,X3)) ) | ~spl2737_3512),
% 59.09/9.97    inference(forward_demodulation,[],[f89825,f50171])).
% 59.09/9.97  tff(f89825,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0)),X4 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4 | ~group(X0,X1,X2,X3)) ) | ~spl2737_3512),
% 59.09/9.97    inference(avatar_component_clause,[],[f89824])).
% 59.09/9.97  tff(f89826,plain,(
% 59.09/9.97    spl2737_3512),
% 59.09/9.97    inference(avatar_split_clause,[],[f49823,f89824])).
% 59.09/9.97  tff(f49823,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0)),X4 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4 | ~group(X0,X1,X2,X3)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f26713])).
% 59.09/9.97  tff(f26713,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0),X4 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4 | ~group(X0,X1,X2,X3))),
% 59.09/9.97    inference(ennf_transformation,[],[f18042])).
% 59.09/9.97  tff(f18042,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0),X4 : X0] : (group(X0,X1,X2,X3) => aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4)),
% 59.09/9.97    inference(rectify,[],[f7372])).
% 59.09/9.97  tff(f7372,axiom,(
% 59.09/9.97    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X346 : fun(X0,X0),X7 : X0] : (group(X0,X32,X60,X346) => aa(X0,X0,aa(X0,fun(X0,X0),X32,X60),X7) = X7)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7371_group_Ogroup__left__neutral)).
% 59.09/9.97  tff(f89822,plain,(
% 59.09/9.97    spl2737_3511),
% 59.09/9.97    inference(avatar_split_clause,[],[f49625,f89820])).
% 59.09/9.97  tff(f89820,plain,(
% 59.09/9.97    spl2737_3511 <=> ! [X0 : int,X3 : int,X2 : int,X1 : int] : (eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3)) | ~sP529(X3,X1,X2,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3511])])).
% 59.09/9.97  tff(f49625,plain,(
% 59.09/9.97    ( ! [X2 : int,X3 : int,X0 : int,X1 : int] : (eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3)) | ~sP529(X3,X1,X2,X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34059])).
% 59.09/9.97  tff(f34059,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int,X3 : int] : ((eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3)) | ~sP529(X3,X1,X2,X0)) & (sP529(X3,X1,X2,X0) | ~eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3))))),
% 59.09/9.97    inference(nnf_transformation,[],[f27882])).
% 59.09/9.97  tff(f27882,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int,X3 : int] : (eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3)) <=> sP529(X3,X1,X2,X0))),
% 59.09/9.97    inference(definition_folding,[],[f26668,f27881,f27880])).
% 59.09/9.97  tff(f27880,plain,(
% 59.09/9.97    ! [X2 : int,X1 : int,X3 : int] : (sP528(X2,X1,X3) <=> ((zero_zero(int) = X2 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X3),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP528])])).
% 59.09/9.97  tff(f27881,plain,(
% 59.09/9.97    ! [X3 : int,X1 : int,X2 : int,X0 : int] : (sP529(X3,X1,X2,X0) <=> ((sP528(X2,X1,X3) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X3),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2)),X3) = X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP529])])).
% 59.09/9.97  tff(f26668,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int,X3 : int] : (eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3)) <=> ((((zero_zero(int) = X2 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X3),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X3),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2)),X3) = X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f17940])).
% 59.09/9.97  tff(f17940,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int,X3 : int] : (eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3)) <=> ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)) => ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) => zero_zero(int) = X2) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X3),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X3)))))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)) => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X3),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3)))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X1),X2)),X3) = X0))),
% 59.09/9.97    inference(rectify,[],[f3339])).
% 59.09/9.97  tff(f3339,axiom,(
% 59.09/9.97    ! [X18 : int,X51 : int,X134 : int,X116 : int] : (eucl_rel_int(X18,X51,aa(int,product_prod(int,int),product_Pair(int,int,X134),X116)) <=> ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X51)) => ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X51),zero_zero(int))) => zero_zero(int) = X134) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X51),zero_zero(int))) => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X116),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X51),X116)))))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X51)) => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X116),X51)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X116)))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X51),X134)),X116) = X18))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3338_eucl__rel__int__iff)).
% 59.09/9.97  tff(f89818,plain,(
% 59.09/9.97    spl2737_3510),
% 59.09/9.97    inference(avatar_split_clause,[],[f49624,f89816])).
% 59.09/9.97  tff(f89816,plain,(
% 59.09/9.97    spl2737_3510 <=> ! [X0 : int,X3 : int,X2 : int,X1 : int] : (sP529(X3,X1,X2,X0) | ~eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3510])])).
% 59.09/9.97  tff(f49624,plain,(
% 59.09/9.97    ( ! [X2 : int,X3 : int,X0 : int,X1 : int] : (sP529(X3,X1,X2,X0) | ~eucl_rel_int(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,X2),X3))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34059])).
% 59.09/9.97  tff(f89814,plain,(
% 59.09/9.97    spl2737_3509),
% 59.09/9.97    inference(avatar_split_clause,[],[f49608,f89812])).
% 59.09/9.97  tff(f89812,plain,(
% 59.09/9.97    spl2737_3509 <=> ! [X0 : $tType,X3 : X0,X2 : list(X0),X1 : fun(X0,bool)] : (find(X0,X1,X2) = aa(X0,option(X0),some(X0),X3) | ~sP527(X0,X2,X1,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3509])])).
% 59.09/9.97  tff(f49608,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (find(X0,X1,X2) = aa(X0,option(X0),some(X0),X3) | ~sP527(X0,X2,X1,X3)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34052])).
% 59.09/9.97  tff(f34052,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : X0] : ((find(X0,X1,X2) = aa(X0,option(X0),some(X0),X3) | ~sP527(X0,X2,X1,X3)) & (sP527(X0,X2,X1,X3) | find(X0,X1,X2) != aa(X0,option(X0),some(X0),X3)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27879])).
% 59.09/9.97  tff(f27879,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : X0] : (find(X0,X1,X2) = aa(X0,option(X0),some(X0),X3) <=> sP527(X0,X2,X1,X3))),
% 59.09/9.97    inference(definition_folding,[],[f26667,f27878])).
% 59.09/9.97  tff(f27878,plain,(
% 59.09/9.97    ! [X2 : list(X0),X0 : $tType,X1 : fun(X0,bool),X3 : X0] : (sP527(X0,X2,X1,X3) <=> ? [X4 : nat] : (! [X5 : nat] : (~pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) & aa(nat,X0,nth(X0,X2),X4) = X3 & pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X2)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP527])])).
% 59.09/9.97  tff(f26667,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : X0] : (find(X0,X1,X2) = aa(X0,option(X0),some(X0),X3) <=> ? [X4 : nat] : (! [X5 : nat] : (~pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) & aa(nat,X0,nth(X0,X2),X4) = X3 & pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X2)))))),
% 59.09/9.97    inference(ennf_transformation,[],[f17939])).
% 59.09/9.97  tff(f17939,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : X0] : (find(X0,X1,X2) = aa(X0,option(X0),some(X0),X3) <=> ? [X4 : nat] : (! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4)) => ~pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X5)))) & aa(nat,X0,nth(X0,X2),X4) = X3 & pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X2)))))),
% 59.09/9.97    inference(rectify,[],[f5154])).
% 59.09/9.97  tff(f5154,axiom,(
% 59.09/9.97    ! [X0 : $tType,X17 : fun(X0,bool),X123 : list(X0),X14 : X0] : (find(X0,X17,X123) = aa(X0,option(X0),some(X0),X14) <=> ? [X29 : nat] : (! [X35 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X35),X29)) => ~pp(aa(X0,bool,X17,aa(nat,X0,nth(X0,X123),X35)))) & aa(nat,X0,nth(X0,X123),X29) = X14 & pp(aa(X0,bool,X17,aa(nat,X0,nth(X0,X123),X29))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(list(X0),nat,size_size(list(X0)),X123)))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5153_find__Some__iff)).
% 59.09/9.97  tff(f89810,plain,(
% 59.09/9.97    spl2737_3508),
% 59.09/9.97    inference(avatar_split_clause,[],[f49607,f89808])).
% 59.09/9.97  tff(f89808,plain,(
% 59.09/9.97    spl2737_3508 <=> ! [X0 : $tType,X3 : X0,X2 : list(X0),X1 : fun(X0,bool)] : (sP527(X0,X2,X1,X3) | find(X0,X1,X2) != aa(X0,option(X0),some(X0),X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3508])])).
% 59.09/9.97  tff(f49607,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP527(X0,X2,X1,X3) | find(X0,X1,X2) != aa(X0,option(X0),some(X0),X3)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34052])).
% 59.09/9.97  tff(f89806,plain,(
% 59.09/9.97    spl2737_3507),
% 59.09/9.97    inference(avatar_split_clause,[],[f49603,f89804])).
% 59.09/9.97  tff(f89804,plain,(
% 59.09/9.97    spl2737_3507 <=> ! [X1 : $tType,X0 : list(X1),X3 : X1,X2 : fun(X1,bool)] : (aa(nat,X1,nth(X1,X0),sK2588(X1,X0,X2,X3)) = X3 | ~sP527(X1,X0,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3507])])).
% 59.09/9.97  tff(f49603,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : fun(X1,bool),X3 : X1,X0 : list(X1)] : (aa(nat,X1,nth(X1,X0),sK2588(X1,X0,X2,X3)) = X3 | ~sP527(X1,X0,X2,X3)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34051])).
% 59.09/9.97  tff(f34051,plain,(
% 59.09/9.97    ! [X0 : list(X1),X1 : $tType,X2 : fun(X1,bool),X3 : X1] : ((sP527(X1,X0,X2,X3) | ! [X4 : nat] : ((pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2587(X1,X0,X2,X4)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2587(X1,X0,X2,X4)),X4))) | aa(nat,X1,nth(X1,X0),X4) != X3 | ~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0))))) & ((! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),sK2588(X1,X0,X2,X3)))) & aa(nat,X1,nth(X1,X0),sK2588(X1,X0,X2,X3)) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2588(X1,X0,X2,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2588(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))) | ~sP527(X1,X0,X2,X3)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2587,sK2588])],[f34048,f34050,f34049])).
% 59.09/9.97  tff(f34049,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : list(X1),X2 : fun(X1,bool),X4 : nat] : (? [X5 : nat] : (pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) => (pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2587(X1,X0,X2,X4)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2587(X1,X0,X2,X4)),X4))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34050,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : list(X1),X2 : fun(X1,bool),X3 : X1] : (? [X6 : nat] : (! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),X6))) & aa(nat,X1,nth(X1,X0),X6) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) => (! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),sK2588(X1,X0,X2,X3)))) & aa(nat,X1,nth(X1,X0),sK2588(X1,X0,X2,X3)) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2588(X1,X0,X2,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2588(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34048,plain,(
% 59.09/9.97    ! [X0 : list(X1),X1 : $tType,X2 : fun(X1,bool),X3 : X1] : ((sP527(X1,X0,X2,X3) | ! [X4 : nat] : (? [X5 : nat] : (pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) | aa(nat,X1,nth(X1,X0),X4) != X3 | ~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0))))) & (? [X6 : nat] : (! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),X6))) & aa(nat,X1,nth(X1,X0),X6) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) | ~sP527(X1,X0,X2,X3)))),
% 59.09/9.97    inference(rectify,[],[f34047])).
% 59.09/9.97  tff(f34047,plain,(
% 59.09/9.97    ! [X2 : list(X0),X0 : $tType,X1 : fun(X0,bool),X3 : X0] : ((sP527(X0,X2,X1,X3) | ! [X4 : nat] : (? [X5 : nat] : (pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) | aa(nat,X0,nth(X0,X2),X4) != X3 | ~pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X2))))) & (? [X4 : nat] : (! [X5 : nat] : (~pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) & aa(nat,X0,nth(X0,X2),X4) = X3 & pp(aa(X0,bool,X1,aa(nat,X0,nth(X0,X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X2)))) | ~sP527(X0,X2,X1,X3)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27878])).
% 59.09/9.97  tff(f89802,plain,(
% 59.09/9.97    spl2737_3506),
% 59.09/9.97    inference(avatar_split_clause,[],[f49600,f89800])).
% 59.09/9.97  tff(f89800,plain,(
% 59.09/9.97    spl2737_3506 <=> ! [X0 : $tType,X3 : list(X0),X2 : fun(X0,bool),X1 : X0] : (aa(X0,option(X0),some(X0),X1) = find(X0,X2,X3) | ~sP526(X0,X3,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3506])])).
% 59.09/9.97  tff(f49600,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (aa(X0,option(X0),some(X0),X1) = find(X0,X2,X3) | ~sP526(X0,X3,X2,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34046])).
% 59.09/9.97  tff(f34046,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool),X3 : list(X0)] : ((aa(X0,option(X0),some(X0),X1) = find(X0,X2,X3) | ~sP526(X0,X3,X2,X1)) & (sP526(X0,X3,X2,X1) | aa(X0,option(X0),some(X0),X1) != find(X0,X2,X3)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27877])).
% 59.09/9.97  tff(f27877,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool),X3 : list(X0)] : (aa(X0,option(X0),some(X0),X1) = find(X0,X2,X3) <=> sP526(X0,X3,X2,X1))),
% 59.09/9.97    inference(definition_folding,[],[f26666,f27876])).
% 59.09/9.97  tff(f27876,plain,(
% 59.09/9.97    ! [X3 : list(X0),X0 : $tType,X2 : fun(X0,bool),X1 : X0] : (sP526(X0,X3,X2,X1) <=> ? [X4 : nat] : (! [X5 : nat] : (~pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) & aa(nat,X0,nth(X0,X3),X4) = X1 & pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X3)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP526])])).
% 59.09/9.97  tff(f26666,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool),X3 : list(X0)] : (aa(X0,option(X0),some(X0),X1) = find(X0,X2,X3) <=> ? [X4 : nat] : (! [X5 : nat] : (~pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) & aa(nat,X0,nth(X0,X3),X4) = X1 & pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X3)))))),
% 59.09/9.97    inference(ennf_transformation,[],[f17938])).
% 59.09/9.97  tff(f17938,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool),X3 : list(X0)] : (aa(X0,option(X0),some(X0),X1) = find(X0,X2,X3) <=> ? [X4 : nat] : (! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4)) => ~pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X5)))) & aa(nat,X0,nth(X0,X3),X4) = X1 & pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X3)))))),
% 59.09/9.97    inference(rectify,[],[f5155])).
% 59.09/9.97  tff(f5155,axiom,(
% 59.09/9.97    ! [X0 : $tType,X14 : X0,X17 : fun(X0,bool),X123 : list(X0)] : (find(X0,X17,X123) = aa(X0,option(X0),some(X0),X14) <=> ? [X29 : nat] : (! [X35 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X35),X29)) => ~pp(aa(X0,bool,X17,aa(nat,X0,nth(X0,X123),X35)))) & aa(nat,X0,nth(X0,X123),X29) = X14 & pp(aa(X0,bool,X17,aa(nat,X0,nth(X0,X123),X29))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(list(X0),nat,size_size(list(X0)),X123)))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5154_find__Some__iff2)).
% 59.09/9.97  tff(f89798,plain,(
% 59.09/9.97    spl2737_3505),
% 59.09/9.97    inference(avatar_split_clause,[],[f49599,f89796])).
% 59.09/9.97  tff(f89796,plain,(
% 59.09/9.97    spl2737_3505 <=> ! [X0 : $tType,X3 : list(X0),X2 : fun(X0,bool),X1 : X0] : (sP526(X0,X3,X2,X1) | aa(X0,option(X0),some(X0),X1) != find(X0,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3505])])).
% 59.09/9.97  tff(f49599,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (sP526(X0,X3,X2,X1) | aa(X0,option(X0),some(X0),X1) != find(X0,X2,X3)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34046])).
% 59.09/9.97  tff(f89794,plain,(
% 59.09/9.97    spl2737_3504),
% 59.09/9.97    inference(avatar_split_clause,[],[f49595,f89792])).
% 59.09/9.97  tff(f89792,plain,(
% 59.09/9.97    spl2737_3504 <=> ! [X1 : $tType,X0 : list(X1),X3 : X1,X2 : fun(X1,bool)] : (aa(nat,X1,nth(X1,X0),sK2586(X1,X0,X2,X3)) = X3 | ~sP526(X1,X0,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3504])])).
% 59.09/9.97  tff(f49595,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X2 : fun(X1,bool),X3 : X1,X0 : list(X1)] : (aa(nat,X1,nth(X1,X0),sK2586(X1,X0,X2,X3)) = X3 | ~sP526(X1,X0,X2,X3)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34045])).
% 59.09/9.97  tff(f34045,plain,(
% 59.09/9.97    ! [X0 : list(X1),X1 : $tType,X2 : fun(X1,bool),X3 : X1] : ((sP526(X1,X0,X2,X3) | ! [X4 : nat] : ((pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2585(X1,X0,X2,X4)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2585(X1,X0,X2,X4)),X4))) | aa(nat,X1,nth(X1,X0),X4) != X3 | ~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0))))) & ((! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),sK2586(X1,X0,X2,X3)))) & aa(nat,X1,nth(X1,X0),sK2586(X1,X0,X2,X3)) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2586(X1,X0,X2,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2586(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))) | ~sP526(X1,X0,X2,X3)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2585,sK2586])],[f34042,f34044,f34043])).
% 59.09/9.97  tff(f34043,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : list(X1),X2 : fun(X1,bool),X4 : nat] : (? [X5 : nat] : (pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) => (pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2585(X1,X0,X2,X4)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2585(X1,X0,X2,X4)),X4))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34044,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : list(X1),X2 : fun(X1,bool),X3 : X1] : (? [X6 : nat] : (! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),X6))) & aa(nat,X1,nth(X1,X0),X6) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) => (! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),sK2586(X1,X0,X2,X3)))) & aa(nat,X1,nth(X1,X0),sK2586(X1,X0,X2,X3)) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),sK2586(X1,X0,X2,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2586(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34042,plain,(
% 59.09/9.97    ! [X0 : list(X1),X1 : $tType,X2 : fun(X1,bool),X3 : X1] : ((sP526(X1,X0,X2,X3) | ! [X4 : nat] : (? [X5 : nat] : (pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) | aa(nat,X1,nth(X1,X0),X4) != X3 | ~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0))))) & (? [X6 : nat] : (! [X7 : nat] : (~pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X7))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),X6))) & aa(nat,X1,nth(X1,X0),X6) = X3 & pp(aa(X1,bool,X2,aa(nat,X1,nth(X1,X0),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) | ~sP526(X1,X0,X2,X3)))),
% 59.09/9.97    inference(rectify,[],[f34041])).
% 59.09/9.97  tff(f34041,plain,(
% 59.09/9.97    ! [X3 : list(X0),X0 : $tType,X2 : fun(X0,bool),X1 : X0] : ((sP526(X0,X3,X2,X1) | ! [X4 : nat] : (? [X5 : nat] : (pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) | aa(nat,X0,nth(X0,X3),X4) != X1 | ~pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X3))))) & (? [X4 : nat] : (! [X5 : nat] : (~pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X4))) & aa(nat,X0,nth(X0,X3),X4) = X1 & pp(aa(X0,bool,X2,aa(nat,X0,nth(X0,X3),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X3)))) | ~sP526(X0,X3,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27876])).
% 59.09/9.97  tff(f89790,plain,(
% 59.09/9.97    spl2737_3503 | ~spl2737_3502),
% 59.09/9.97    inference(avatar_split_clause,[],[f89786,f89783,f89788])).
% 59.09/9.97  tff(f89788,plain,(
% 59.09/9.97    spl2737_3503 <=> ! [X0 : $tType,X7 : X0,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X7),X2) = X7 | ~group_axioms(X0,X1,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3503])])).
% 59.09/9.97  tff(f89783,plain,(
% 59.09/9.97    spl2737_3502 <=> ! [X0 : $tType,X7 : X0,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X7) = X7 | ~group_axioms(X0,X1,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3502])])).
% 59.09/9.97  tff(f89786,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0)),X7 : X0] : (aa(X0,X0,combc(X0,X0,X0,X1,X7),X2) = X7 | ~group_axioms(X0,X1,X2,X3)) ) | ~spl2737_3502),
% 59.09/9.97    inference(forward_demodulation,[],[f89784,f50171])).
% 59.09/9.97  tff(f89784,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0)),X7 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X7) = X7 | ~group_axioms(X0,X1,X2,X3)) ) | ~spl2737_3502),
% 59.09/9.97    inference(avatar_component_clause,[],[f89783])).
% 59.09/9.97  tff(f89785,plain,(
% 59.09/9.97    spl2737_3502),
% 59.09/9.97    inference(avatar_split_clause,[],[f49544,f89783])).
% 59.09/9.97  tff(f49544,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0)),X7 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X7) = X7 | ~group_axioms(X0,X1,X2,X3)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f34011])).
% 59.09/9.97  tff(f34011,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : ((group_axioms(X0,X1,X2,X3) | aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,sK2580(X0,X1,X2,X3))),sK2580(X0,X1,X2,X3)) != X2 | sK2581(X0,X1,X2) != aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),sK2581(X0,X1,X2))) & ((! [X6 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X6)),X6) = X2 & ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X7) = X7) | ~group_axioms(X0,X1,X2,X3)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2580,sK2581])],[f34008,f34010,f34009])).
% 59.09/9.97  tff(f34009,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X4)),X4) != X2 => aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,sK2580(X0,X1,X2,X3))),sK2580(X0,X1,X2,X3)) != X2)),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34010,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (? [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X5) != X5 => sK2581(X0,X1,X2) != aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),sK2581(X0,X1,X2)))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f34008,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : ((group_axioms(X0,X1,X2,X3) | ? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X4)),X4) != X2 | ? [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X5) != X5) & ((! [X6 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X6)),X6) = X2 & ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X7) = X7) | ~group_axioms(X0,X1,X2,X3)))),
% 59.09/9.97    inference(rectify,[],[f34007])).
% 59.09/9.97  tff(f34007,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : ((group_axioms(X0,X1,X2,X3) | ? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X4)),X4) != X2 | ? [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X5) != X5) & ((! [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X4)),X4) = X2 & ! [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X5) = X5) | ~group_axioms(X0,X1,X2,X3)))),
% 59.09/9.97    inference(flattening,[],[f34006])).
% 59.09/9.97  tff(f34006,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : ((group_axioms(X0,X1,X2,X3) | (? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X4)),X4) != X2 | ? [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X5) != X5)) & ((! [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X4)),X4) = X2 & ! [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X5) = X5) | ~group_axioms(X0,X1,X2,X3)))),
% 59.09/9.97    inference(nnf_transformation,[],[f17927])).
% 59.09/9.97  tff(f17927,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (group_axioms(X0,X1,X2,X3) <=> (! [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,aa(X0,X0,X3,X4)),X4) = X2 & ! [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X5) = X5))),
% 59.09/9.97    inference(rectify,[],[f8045])).
% 59.09/9.97  tff(f8045,axiom,(
% 59.09/9.97    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X346 : fun(X0,X0)] : (group_axioms(X0,X32,X60,X346) <=> (! [X74 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X32,aa(X0,X0,X346,X74)),X74) = X60 & ! [X74 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X32,X60),X74) = X74))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8044_group__axioms__def)).
% 59.09/9.97  tff(f89781,plain,(
% 59.09/9.97    spl2737_3501),
% 59.09/9.97    inference(avatar_split_clause,[],[f49189,f89779])).
% 59.09/9.97  tff(f89779,plain,(
% 59.09/9.97    spl2737_3501 <=> ! [X0 : $tType,X3 : fun(X0,bool),X2 : list(X0),X1 : fun(X0,bool)] : (list_all(X0,X3,X2) | ~pp(aa(X0,bool,X3,sK2465(X0,X1,X2,X3))) | ~list_all(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3501])])).
% 59.09/9.97  tff(f49189,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (list_all(X0,X3,X2) | ~pp(aa(X0,bool,X3,sK2465(X0,X1,X2,X3))) | ~list_all(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33727])).
% 59.09/9.97  tff(f33727,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : fun(X0,bool)] : (list_all(X0,X3,X2) | (~pp(aa(X0,bool,X3,sK2465(X0,X1,X2,X3))) & pp(aa(X0,bool,X1,sK2465(X0,X1,X2,X3))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2465(X0,X1,X2,X3)),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2465])],[f26393,f33726])).
% 59.09/9.97  tff(f33726,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : fun(X0,bool)] : (? [X4 : X0] : (~pp(aa(X0,bool,X3,X4)) & pp(aa(X0,bool,X1,X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) => (~pp(aa(X0,bool,X3,sK2465(X0,X1,X2,X3))) & pp(aa(X0,bool,X1,sK2465(X0,X1,X2,X3))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2465(X0,X1,X2,X3)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f26393,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : fun(X0,bool)] : (list_all(X0,X3,X2) | ? [X4 : X0] : (~pp(aa(X0,bool,X3,X4)) & pp(aa(X0,bool,X1,X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2))),
% 59.09/9.97    inference(flattening,[],[f26392])).
% 59.09/9.97  tff(f26392,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : fun(X0,bool)] : ((list_all(X0,X3,X2) | ? [X4 : X0] : ((~pp(aa(X0,bool,X3,X4)) & pp(aa(X0,bool,X1,X4))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2))))) | ~list_all(X0,X1,X2))),
% 59.09/9.97    inference(ennf_transformation,[],[f17754])).
% 59.09/9.97  tff(f17754,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0),X3 : fun(X0,bool)] : (list_all(X0,X1,X2) => (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2))) => (pp(aa(X0,bool,X1,X4)) => pp(aa(X0,bool,X3,X4)))) => list_all(X0,X3,X2)))),
% 59.09/9.97    inference(rectify,[],[f7981])).
% 59.09/9.97  tff(f7981,axiom,(
% 59.09/9.97    ! [X0 : $tType,X17 : fun(X0,bool),X14 : list(X0),X349 : fun(X0,bool)] : (list_all(X0,X17,X14) => (! [X96 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X96),aa(list(X0),set(X0),set2(X0),X14))) => (pp(aa(X0,bool,X17,X96)) => pp(aa(X0,bool,X349,X96)))) => list_all(X0,X349,X14)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7980_list_Opred__mono__strong)).
% 59.09/9.97  tff(f89777,plain,(
% 59.09/9.97    spl2737_3500),
% 59.09/9.97    inference(avatar_split_clause,[],[f49188,f89775])).
% 59.09/9.97  tff(f89775,plain,(
% 59.09/9.97    spl2737_3500 <=> ! [X0 : $tType,X3 : fun(X0,bool),X2 : list(X0),X1 : fun(X0,bool)] : (list_all(X0,X3,X2) | pp(aa(X0,bool,X1,sK2465(X0,X1,X2,X3))) | ~list_all(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3500])])).
% 59.09/9.97  tff(f49188,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (list_all(X0,X3,X2) | pp(aa(X0,bool,X1,sK2465(X0,X1,X2,X3))) | ~list_all(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33727])).
% 59.09/9.97  tff(f89773,plain,(
% 59.09/9.97    spl2737_3499),
% 59.09/9.97    inference(avatar_split_clause,[],[f48991,f89771])).
% 59.09/9.97  tff(f89771,plain,(
% 59.09/9.97    spl2737_3499 <=> ! [X2 : list(vEBT_VEBT),X0 : product_prod(nat,nat),X1 : nat,X3 : vEBT_VEBT] : ~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X0),X1,X2,X3))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3499])])).
% 59.09/9.97  tff(f48991,plain,(
% 59.09/9.97    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : product_prod(nat,nat),X1 : nat] : (~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X0),X1,X2,X3))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f17607])).
% 59.09/9.97  tff(f17607,plain,(
% 59.09/9.97    ! [X0 : product_prod(nat,nat),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : ~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X0),X1,X2,X3))),
% 59.09/9.97    inference(rectify,[],[f3273])).
% 59.09/9.97  tff(f3273,axiom,(
% 59.09/9.97    ! [X102 : product_prod(nat,nat),X186 : nat,X187 : list(vEBT_VEBT),X188 : vEBT_VEBT] : ~vEBT_VEBT_minNull(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X102),X186,X187,X188))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3272_VEBT__internal_OminNull_Osimps_I5_J)).
% 59.09/9.97  tff(f89768,plain,(
% 59.09/9.97    spl2737_3498 | ~spl2737_3497),
% 59.09/9.97    inference(avatar_split_clause,[],[f89764,f89761,f89766])).
% 59.09/9.97  tff(f89766,plain,(
% 59.09/9.97    spl2737_3498 <=> ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,combc(int,int,int,gcd_gcd(int),X2),X1) = X0 | ~sP486(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3498])])).
% 59.09/9.97  tff(f89761,plain,(
% 59.09/9.97    spl2737_3497 <=> ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0 | ~sP486(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3497])])).
% 59.09/9.97  tff(f89764,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,combc(int,int,int,gcd_gcd(int),X2),X1) = X0 | ~sP486(X0,X2,X1)) ) | ~spl2737_3497),
% 59.09/9.97    inference(forward_demodulation,[],[f89762,f50171])).
% 59.09/9.97  tff(f89762,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0 | ~sP486(X0,X2,X1)) ) | ~spl2737_3497),
% 59.09/9.97    inference(avatar_component_clause,[],[f89761])).
% 59.09/9.97  tff(f89763,plain,(
% 59.09/9.97    spl2737_3497),
% 59.09/9.97    inference(avatar_split_clause,[],[f48941,f89761])).
% 59.09/9.97  tff(f48941,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0 | ~sP486(X0,X2,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33651])).
% 59.09/9.97  tff(f33651,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((sP486(X0,X2,X1) | aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) != X0) & (aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0 | ~sP486(X0,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27814])).
% 59.09/9.97  tff(f27814,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : (sP486(X0,X2,X1) <=> aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0)),
% 59.09/9.97    inference(definition_folding,[],[f26320,f27813])).
% 59.09/9.97  tff(f27813,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : int] : (sP486(X0,X2,X1) <=> (! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP486])])).
% 59.09/9.97  tff(f26320,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0)),
% 59.09/9.97    inference(flattening,[],[f26319])).
% 59.09/9.97  tff(f26319,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) | (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1)))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0)),
% 59.09/9.97    inference(ennf_transformation,[],[f17589])).
% 59.09/9.97  tff(f17589,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1))) => pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) = X0)),
% 59.09/9.97    inference(rectify,[],[f6641])).
% 59.09/9.97  tff(f6641,axiom,(
% 59.09/9.97    ! [X53 : int,X7 : int,X49 : int] : ((! [X156 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X156),X49)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X156),X7))) => pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X156),X53))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X53),X49)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X53),X7)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X53))) <=> aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X7),X49) = X53)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6640_gcd__unique__int)).
% 59.09/9.97  tff(f89758,plain,(
% 59.09/9.97    spl2737_3496 | ~spl2737_3495),
% 59.09/9.97    inference(avatar_split_clause,[],[f89754,f89751,f89756])).
% 59.09/9.97  tff(f89756,plain,(
% 59.09/9.97    spl2737_3496 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP486(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3496])])).
% 59.09/9.97  tff(f89751,plain,(
% 59.09/9.97    spl2737_3495 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP486(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3495])])).
% 59.09/9.97  tff(f89754,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP486(X0,X1,X2)) ) | ~spl2737_3495),
% 59.09/9.97    inference(forward_demodulation,[],[f89752,f50171])).
% 59.09/9.97  tff(f89752,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP486(X0,X1,X2)) ) | ~spl2737_3495),
% 59.09/9.97    inference(avatar_component_clause,[],[f89751])).
% 59.09/9.97  tff(f89753,plain,(
% 59.09/9.97    spl2737_3495),
% 59.09/9.97    inference(avatar_split_clause,[],[f48934,f89751])).
% 59.09/9.97  tff(f48934,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP486(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33650])).
% 59.09/9.97  tff(f33650,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((sP486(X0,X1,X2) | (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),sK2443(X0,X1,X2)),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),sK2443(X0,X1,X2)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),sK2443(X0,X1,X2)),X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X4),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X4),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X4),X2))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP486(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2443])],[f33648,f33649])).
% 59.09/9.97  tff(f33649,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : (? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2))) => (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),sK2443(X0,X1,X2)),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),sK2443(X0,X1,X2)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),sK2443(X0,X1,X2)),X2))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33648,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((sP486(X0,X1,X2) | ? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X4),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X4),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X4),X2))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP486(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33647])).
% 59.09/9.97  tff(f33647,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : int] : ((sP486(X0,X2,X1) | ? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP486(X0,X2,X1)))),
% 59.09/9.97    inference(flattening,[],[f33646])).
% 59.09/9.97  tff(f33646,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : int] : ((sP486(X0,X2,X1) | (? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) & ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X3),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP486(X0,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27813])).
% 59.09/9.97  tff(f89748,plain,(
% 59.09/9.97    spl2737_3494 | ~spl2737_3493),
% 59.09/9.97    inference(avatar_split_clause,[],[f89744,f89741,f89746])).
% 59.09/9.97  tff(f89746,plain,(
% 59.09/9.97    spl2737_3494 <=> ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,combc(int,int,int,gcd_lcm(int),X2),X1) = X0 | ~sP485(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3494])])).
% 59.09/9.97  tff(f89741,plain,(
% 59.09/9.97    spl2737_3493 <=> ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0 | ~sP485(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3493])])).
% 59.09/9.97  tff(f89744,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,combc(int,int,int,gcd_lcm(int),X2),X1) = X0 | ~sP485(X0,X2,X1)) ) | ~spl2737_3493),
% 59.09/9.97    inference(forward_demodulation,[],[f89742,f50171])).
% 59.09/9.97  tff(f89742,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0 | ~sP485(X0,X2,X1)) ) | ~spl2737_3493),
% 59.09/9.97    inference(avatar_component_clause,[],[f89741])).
% 59.09/9.97  tff(f89743,plain,(
% 59.09/9.97    spl2737_3493),
% 59.09/9.97    inference(avatar_split_clause,[],[f48932,f89741])).
% 59.09/9.97  tff(f48932,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0 | ~sP485(X0,X2,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33645])).
% 59.09/9.97  tff(f33645,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((sP485(X0,X2,X1) | aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) != X0) & (aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0 | ~sP485(X0,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27812])).
% 59.09/9.97  tff(f27812,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : (sP485(X0,X2,X1) <=> aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0)),
% 59.09/9.97    inference(definition_folding,[],[f26318,f27811])).
% 59.09/9.97  tff(f27811,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : int] : (sP485(X0,X2,X1) <=> (! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP485])])).
% 59.09/9.97  tff(f26318,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0)),
% 59.09/9.97    inference(flattening,[],[f26317])).
% 59.09/9.97  tff(f26317,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) | (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3)))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0)),
% 59.09/9.97    inference(ennf_transformation,[],[f17588])).
% 59.09/9.97  tff(f17588,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((! [X3 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3))) => pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) = X0)),
% 59.09/9.97    inference(rectify,[],[f7627])).
% 59.09/9.97  tff(f7627,axiom,(
% 59.09/9.97    ! [X53 : int,X7 : int,X49 : int] : ((! [X156 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X49),X156)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X7),X156))) => pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X53),X156))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X49),X53)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X7),X53)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X53))) <=> aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X7),X49) = X53)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7626_lcm__unique__int)).
% 59.09/9.97  tff(f89738,plain,(
% 59.09/9.97    spl2737_3492 | ~spl2737_3491),
% 59.09/9.97    inference(avatar_split_clause,[],[f89734,f89731,f89736])).
% 59.09/9.97  tff(f89736,plain,(
% 59.09/9.97    spl2737_3492 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP485(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3492])])).
% 59.09/9.97  tff(f89731,plain,(
% 59.09/9.97    spl2737_3491 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP485(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3491])])).
% 59.09/9.97  tff(f89734,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP485(X0,X1,X2)) ) | ~spl2737_3491),
% 59.09/9.97    inference(forward_demodulation,[],[f89732,f50171])).
% 59.09/9.97  tff(f89732,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP485(X0,X1,X2)) ) | ~spl2737_3491),
% 59.09/9.97    inference(avatar_component_clause,[],[f89731])).
% 59.09/9.97  tff(f89733,plain,(
% 59.09/9.97    spl2737_3491),
% 59.09/9.97    inference(avatar_split_clause,[],[f48925,f89731])).
% 59.09/9.97  tff(f48925,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP485(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33644])).
% 59.09/9.97  tff(f33644,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((sP485(X0,X1,X2) | (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),sK2442(X0,X1,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),sK2442(X0,X1,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),sK2442(X0,X1,X2)))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X4)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X4)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP485(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2442])],[f33642,f33643])).
% 59.09/9.97  tff(f33643,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : (? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3))) => (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),sK2442(X0,X1,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),sK2442(X0,X1,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),sK2442(X0,X1,X2)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33642,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : int] : ((sP485(X0,X1,X2) | ? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X4)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X4)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP485(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33641])).
% 59.09/9.97  tff(f33641,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : int] : ((sP485(X0,X2,X1) | ? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP485(X0,X2,X1)))),
% 59.09/9.97    inference(flattening,[],[f33640])).
% 59.09/9.97  tff(f33640,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : int] : ((sP485(X0,X2,X1) | (? [X3 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))) & ((! [X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X3)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X3))) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP485(X0,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27811])).
% 59.09/9.97  tff(f89728,plain,(
% 59.09/9.97    spl2737_3490 | ~spl2737_3489),
% 59.09/9.97    inference(avatar_split_clause,[],[f89724,f89721,f89726])).
% 59.09/9.97  tff(f89726,plain,(
% 59.09/9.97    spl2737_3490 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,combc(nat,nat,nat,gcd_gcd(nat),X2),X1) = X0 | ~sP484(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3490])])).
% 59.09/9.97  tff(f89721,plain,(
% 59.09/9.97    spl2737_3489 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0 | ~sP484(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3489])])).
% 59.09/9.97  tff(f89724,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,combc(nat,nat,nat,gcd_gcd(nat),X2),X1) = X0 | ~sP484(X0,X2,X1)) ) | ~spl2737_3489),
% 59.09/9.97    inference(forward_demodulation,[],[f89722,f50171])).
% 59.09/9.97  tff(f89722,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0 | ~sP484(X0,X2,X1)) ) | ~spl2737_3489),
% 59.09/9.97    inference(avatar_component_clause,[],[f89721])).
% 59.09/9.97  tff(f89723,plain,(
% 59.09/9.97    spl2737_3489),
% 59.09/9.97    inference(avatar_split_clause,[],[f48923,f89721])).
% 59.09/9.97  tff(f48923,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0 | ~sP484(X0,X2,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33639])).
% 59.09/9.97  tff(f33639,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((sP484(X0,X2,X1) | aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) != X0) & (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0 | ~sP484(X0,X2,X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27810])).
% 59.09/9.97  tff(f27810,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : (sP484(X0,X2,X1) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0)),
% 59.09/9.97    inference(definition_folding,[],[f26316,f27809])).
% 59.09/9.97  tff(f27809,plain,(
% 59.09/9.97    ! [X0 : nat,X2 : nat,X1 : nat] : (sP484(X0,X2,X1) <=> (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP484])])).
% 59.09/9.97  tff(f26316,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0)),
% 59.09/9.97    inference(flattening,[],[f26315])).
% 59.09/9.97  tff(f26315,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0)),
% 59.09/9.97    inference(ennf_transformation,[],[f17587])).
% 59.09/9.97  tff(f17587,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((! [X3 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))) => pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) = X0)),
% 59.09/9.97    inference(rectify,[],[f6673])).
% 59.09/9.97  tff(f6673,axiom,(
% 59.09/9.97    ! [X53 : nat,X7 : nat,X49 : nat] : ((! [X156 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X156),X49)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X156),X7))) => pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X156),X53))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X53),X49)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X53),X7))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X7),X49) = X53)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6672_gcd__unique__nat)).
% 59.09/9.97  tff(f89718,plain,(
% 59.09/9.97    spl2737_3488 | ~spl2737_3487),
% 59.09/9.97    inference(avatar_split_clause,[],[f89714,f89711,f89716])).
% 59.09/9.97  tff(f89716,plain,(
% 59.09/9.97    spl2737_3488 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,combc(nat,nat,nat,gcd_lcm(nat),X2),X0) = X1 | ~sP483(X1,X2,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3488])])).
% 59.09/9.97  tff(f89711,plain,(
% 59.09/9.97    spl2737_3487 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1 | ~sP483(X1,X2,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3487])])).
% 59.09/9.97  tff(f89714,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,combc(nat,nat,nat,gcd_lcm(nat),X2),X0) = X1 | ~sP483(X1,X2,X0)) ) | ~spl2737_3487),
% 59.09/9.97    inference(forward_demodulation,[],[f89712,f50171])).
% 59.09/9.97  tff(f89712,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1 | ~sP483(X1,X2,X0)) ) | ~spl2737_3487),
% 59.09/9.97    inference(avatar_component_clause,[],[f89711])).
% 59.09/9.97  tff(f89713,plain,(
% 59.09/9.97    spl2737_3487),
% 59.09/9.97    inference(avatar_split_clause,[],[f48915,f89711])).
% 59.09/9.97  tff(f48915,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1 | ~sP483(X1,X2,X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33633])).
% 59.09/9.97  tff(f33633,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((sP483(X1,X2,X0) | aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) != X1) & (aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1 | ~sP483(X1,X2,X0)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27808])).
% 59.09/9.97  tff(f27808,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : (sP483(X1,X2,X0) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1)),
% 59.09/9.97    inference(definition_folding,[],[f26314,f27807])).
% 59.09/9.97  tff(f27807,plain,(
% 59.09/9.97    ! [X1 : nat,X2 : nat,X0 : nat] : (sP483(X1,X2,X0) <=> (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP483])])).
% 59.09/9.97  tff(f26314,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1)),
% 59.09/9.97    inference(flattening,[],[f26313])).
% 59.09/9.97  tff(f26313,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1)),
% 59.09/9.97    inference(ennf_transformation,[],[f17586])).
% 59.09/9.97  tff(f17586,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat,X2 : nat] : ((! [X3 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3))) => pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) = X1)),
% 59.09/9.97    inference(rectify,[],[f7634])).
% 59.09/9.97  tff(f7634,axiom,(
% 59.09/9.97    ! [X7 : nat,X53 : nat,X49 : nat] : ((! [X156 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X49),X156)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X7),X156))) => pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X53),X156))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X49),X53)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X7),X53))) <=> aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X7),X49) = X53)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7633_lcm__unique__nat)).
% 59.09/9.97  tff(f89684,plain,(
% 59.09/9.97    spl2737_3486 | ~spl2737_3485),
% 59.09/9.97    inference(avatar_split_clause,[],[f89680,f89677,f89682])).
% 59.09/9.97  tff(f89682,plain,(
% 59.09/9.97    spl2737_3486 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),X2),zero_zero(int))) | sP471(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3486])])).
% 59.09/9.97  tff(f89677,plain,(
% 59.09/9.97    spl2737_3485 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP471(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3485])])).
% 59.09/9.97  tff(f89680,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),X2),zero_zero(int))) | sP471(X0,X1,X2)) ) | ~spl2737_3485),
% 59.09/9.97    inference(forward_demodulation,[],[f89678,f50171])).
% 59.09/9.97  tff(f89678,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP471(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) ) | ~spl2737_3485),
% 59.09/9.97    inference(avatar_component_clause,[],[f89677])).
% 59.09/9.97  tff(f89679,plain,(
% 59.09/9.97    spl2737_3485),
% 59.09/9.97    inference(avatar_split_clause,[],[f48532,f89677])).
% 59.09/9.97  tff(f48532,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP471(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33354])).
% 59.09/9.97  tff(f33354,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP471(X0,X1,X2) | ((~pp(aa(int,bool,X0,sK2393(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2393(X0,X1,X2))),sK2394(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),sK2394(X0,X1,X2)),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK2394(X0,X1,X2)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) | ~sP471(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2393,sK2394])],[f33352,f33353])).
% 59.09/9.97  tff(f33353,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4))) => (~pp(aa(int,bool,X0,sK2393(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2393(X0,X1,X2))),sK2394(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),sK2394(X0,X1,X2)),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK2394(X0,X1,X2)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33352,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP471(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) | ~sP471(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33351])).
% 59.09/9.97  tff(f33351,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP471(X0,X1,X2) | (? [X5 : int,X6 : int] : (~pp(aa(int,bool,X0,X5)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) | ~sP471(X0,X1,X2)))),
% 59.09/9.97    inference(flattening,[],[f33350])).
% 59.09/9.97  tff(f33350,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP471(X0,X1,X2) | (? [X5 : int,X6 : int] : (~pp(aa(int,bool,X0,X5)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & ((! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) | ~sP471(X0,X1,X2)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27785])).
% 59.09/9.97  tff(f27785,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (sP471(X0,X1,X2) <=> (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP471])])).
% 59.09/9.97  tff(f89620,plain,(
% 59.09/9.97    spl2737_3484 | ~spl2737_3483),
% 59.09/9.97    inference(avatar_split_clause,[],[f89616,f89613,f89618])).
% 59.09/9.97  tff(f89618,plain,(
% 59.09/9.97    spl2737_3484 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),X2)) | sP472(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3484])])).
% 59.09/9.97  tff(f89613,plain,(
% 59.09/9.97    spl2737_3483 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP472(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3483])])).
% 59.09/9.97  tff(f89616,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),X2)) | sP472(X0,X1,X2)) ) | ~spl2737_3483),
% 59.09/9.97    inference(forward_demodulation,[],[f89614,f50171])).
% 59.09/9.97  tff(f89614,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP472(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) ) | ~spl2737_3483),
% 59.09/9.97    inference(avatar_component_clause,[],[f89613])).
% 59.09/9.97  tff(f89615,plain,(
% 59.09/9.97    spl2737_3483),
% 59.09/9.97    inference(avatar_split_clause,[],[f48526,f89613])).
% 59.09/9.97  tff(f48526,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP472(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33349])).
% 59.09/9.97  tff(f33349,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP472(X0,X1,X2) | ((~pp(aa(int,bool,X0,sK2391(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2391(X0,X1,X2))),sK2392(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),sK2392(X0,X1,X2)),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),sK2392(X0,X1,X2)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X6),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) | ~sP472(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2391,sK2392])],[f33347,f33348])).
% 59.09/9.97  tff(f33348,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) => (~pp(aa(int,bool,X0,sK2391(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2391(X0,X1,X2))),sK2392(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),sK2392(X0,X1,X2)),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),sK2392(X0,X1,X2)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33347,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP472(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X6),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) | ~sP472(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33346])).
% 59.09/9.97  tff(f33346,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP472(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & (! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) | ~sP472(X0,X1,X2)))),
% 59.09/9.97    inference(flattening,[],[f33345])).
% 59.09/9.97  tff(f33345,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP472(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X3)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & ((! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) | ~sP472(X0,X1,X2)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27786])).
% 59.09/9.97  tff(f27786,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (sP472(X0,X1,X2) <=> (! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP472])])).
% 59.09/9.97  tff(f89586,plain,(
% 59.09/9.97    spl2737_3482 | ~spl2737_3481),
% 59.09/9.97    inference(avatar_split_clause,[],[f89582,f89579,f89584])).
% 59.09/9.97  tff(f89584,plain,(
% 59.09/9.97    spl2737_3482 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),X2),zero_zero(int))) | sP468(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3482])])).
% 59.09/9.97  tff(f89579,plain,(
% 59.09/9.97    spl2737_3481 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP468(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3481])])).
% 59.09/9.97  tff(f89582,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),X2),zero_zero(int))) | sP468(X0,X1,X2)) ) | ~spl2737_3481),
% 59.09/9.97    inference(forward_demodulation,[],[f89580,f50171])).
% 59.09/9.97  tff(f89580,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP468(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) ) | ~spl2737_3481),
% 59.09/9.97    inference(avatar_component_clause,[],[f89579])).
% 59.09/9.97  tff(f89581,plain,(
% 59.09/9.97    spl2737_3481),
% 59.09/9.97    inference(avatar_split_clause,[],[f48513,f89579])).
% 59.09/9.97  tff(f48513,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP468(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33340])).
% 59.09/9.97  tff(f33340,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP468(X0,X1,X2) | ((~pp(aa(int,bool,X0,sK2390(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2389(X0,X1,X2))),sK2390(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),sK2390(X0,X1,X2)),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK2390(X0,X1,X2)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) | ~sP468(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2389,sK2390])],[f33338,f33339])).
% 59.09/9.97  tff(f33339,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4))) => (~pp(aa(int,bool,X0,sK2390(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2389(X0,X1,X2))),sK2390(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),sK2390(X0,X1,X2)),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK2390(X0,X1,X2)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33338,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP468(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) | ~sP468(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33337])).
% 59.09/9.97  tff(f33337,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP468(X0,X1,X2) | (? [X5 : int,X6 : int] : (~pp(aa(int,bool,X0,X6)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) | ~sP468(X0,X1,X2)))),
% 59.09/9.97    inference(flattening,[],[f33336])).
% 59.09/9.97  tff(f33336,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP468(X0,X1,X2) | (? [X5 : int,X6 : int] : (~pp(aa(int,bool,X0,X6)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))) & ((! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) | ~sP468(X0,X1,X2)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27781])).
% 59.09/9.97  tff(f27781,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (sP468(X0,X1,X2) <=> (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP468])])).
% 59.09/9.97  tff(f89522,plain,(
% 59.09/9.97    spl2737_3480 | ~spl2737_3479),
% 59.09/9.97    inference(avatar_split_clause,[],[f89518,f89515,f89520])).
% 59.09/9.97  tff(f89520,plain,(
% 59.09/9.97    spl2737_3480 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),X2)) | sP469(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3480])])).
% 59.09/9.97  tff(f89515,plain,(
% 59.09/9.97    spl2737_3479 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP469(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3479])])).
% 59.09/9.97  tff(f89518,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),X2)) | sP469(X0,X1,X2)) ) | ~spl2737_3479),
% 59.09/9.97    inference(forward_demodulation,[],[f89516,f50171])).
% 59.09/9.97  tff(f89516,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP469(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) ) | ~spl2737_3479),
% 59.09/9.97    inference(avatar_component_clause,[],[f89515])).
% 59.09/9.97  tff(f89517,plain,(
% 59.09/9.97    spl2737_3479),
% 59.09/9.97    inference(avatar_split_clause,[],[f48507,f89515])).
% 59.09/9.97  tff(f48507,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP469(X0,X1,X2) | pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33335])).
% 59.09/9.97  tff(f33335,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP469(X0,X1,X2) | ((~pp(aa(int,bool,X0,sK2388(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2387(X0,X1,X2))),sK2388(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),sK2388(X0,X1,X2)),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),sK2388(X0,X1,X2)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X6),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) | ~sP469(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2387,sK2388])],[f33333,f33334])).
% 59.09/9.97  tff(f33334,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) => (~pp(aa(int,bool,X0,sK2388(X0,X1,X2))) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),sK2387(X0,X1,X2))),sK2388(X0,X1,X2)) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),sK2388(X0,X1,X2)),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),sK2388(X0,X1,X2)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33333,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP469(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X6),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) | ~sP469(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33332])).
% 59.09/9.97  tff(f33332,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP469(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & (! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) | ~sP469(X0,X1,X2)))),
% 59.09/9.97    inference(flattening,[],[f33331])).
% 59.09/9.97  tff(f33331,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((sP469(X0,X1,X2) | (? [X3 : int,X4 : int] : (~pp(aa(int,bool,X0,X4)) & aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))) & ((! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) | ~sP469(X0,X1,X2)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27782])).
% 59.09/9.97  tff(f27782,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (sP469(X0,X1,X2) <=> (! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP469])])).
% 59.09/9.97  tff(f89513,plain,(
% 59.09/9.97    spl2737_3478),
% 59.09/9.97    inference(avatar_split_clause,[],[f48505,f89511])).
% 59.09/9.97  tff(f89511,plain,(
% 59.09/9.97    spl2737_3478 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP470(X0,X1,X2) | ~sP469(X2,X1,X0) | ~sP468(X2,X1,X0) | ~pp(aa(int,bool,X2,X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3478])])).
% 59.09/9.97  tff(f48505,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP470(X0,X1,X2) | ~sP469(X2,X1,X0) | ~sP468(X2,X1,X0) | ~pp(aa(int,bool,X2,X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33330])).
% 59.09/9.97  tff(f33330,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((sP470(X0,X1,X2) | ~sP469(X2,X1,X0) | ~sP468(X2,X1,X0) | (~pp(aa(int,bool,X2,X1)) & zero_zero(int) = X0)) & ((sP469(X2,X1,X0) & sP468(X2,X1,X0) & (pp(aa(int,bool,X2,X1)) | zero_zero(int) != X0)) | ~sP470(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33329])).
% 59.09/9.97  tff(f33329,plain,(
% 59.09/9.97    ! [X2 : int,X1 : int,X0 : fun(int,bool)] : ((sP470(X2,X1,X0) | ~sP469(X0,X1,X2) | ~sP468(X0,X1,X2) | (~pp(aa(int,bool,X0,X1)) & zero_zero(int) = X2)) & ((sP469(X0,X1,X2) & sP468(X0,X1,X2) & (pp(aa(int,bool,X0,X1)) | zero_zero(int) != X2)) | ~sP470(X2,X1,X0)))),
% 59.09/9.97    inference(flattening,[],[f33328])).
% 59.09/9.97  tff(f33328,plain,(
% 59.09/9.97    ! [X2 : int,X1 : int,X0 : fun(int,bool)] : ((sP470(X2,X1,X0) | (~sP469(X0,X1,X2) | ~sP468(X0,X1,X2) | (~pp(aa(int,bool,X0,X1)) & zero_zero(int) = X2))) & ((sP469(X0,X1,X2) & sP468(X0,X1,X2) & (pp(aa(int,bool,X0,X1)) | zero_zero(int) != X2)) | ~sP470(X2,X1,X0)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27783])).
% 59.09/9.97  tff(f27783,plain,(
% 59.09/9.97    ! [X2 : int,X1 : int,X0 : fun(int,bool)] : (sP470(X2,X1,X0) <=> (sP469(X0,X1,X2) & sP468(X0,X1,X2) & (pp(aa(int,bool,X0,X1)) | zero_zero(int) != X2)))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP470])])).
% 59.09/9.97  tff(f89509,plain,(
% 59.09/9.97    spl2737_3477),
% 59.09/9.97    inference(avatar_split_clause,[],[f48397,f89507])).
% 59.09/9.97  tff(f89507,plain,(
% 59.09/9.97    spl2737_3477 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP463(X2,X1,X0) | sP462(X2,X1,X0) | sK2365(X0,X1,X2) = X0 | ~sP464(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3477])])).
% 59.09/9.97  tff(f48397,plain,(
% 59.09/9.97    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP463(X2,X1,X0) | sP462(X2,X1,X0) | sK2365(X0,X1,X2) = X0 | ~sP464(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33247])).
% 59.09/9.97  tff(f33247,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP464(X0,X1,X2) | (~sP463(X2,X1,X0) & ~sP462(X2,X1,X0) & ! [X3 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X3) != X2 | zero_zero(int) != X1 | X0 != X3))) & (sP463(X2,X1,X0) | sP462(X2,X1,X0) | (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),sK2365(X0,X1,X2)) = X2 & zero_zero(int) = X1 & sK2365(X0,X1,X2) = X0) | ~sP464(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2365])],[f33245,f33246])).
% 59.09/9.97  tff(f33246,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X4 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X4) = X2 & zero_zero(int) = X1 & X0 = X4) => (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),sK2365(X0,X1,X2)) = X2 & zero_zero(int) = X1 & sK2365(X0,X1,X2) = X0))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33245,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP464(X0,X1,X2) | (~sP463(X2,X1,X0) & ~sP462(X2,X1,X0) & ! [X3 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X3) != X2 | zero_zero(int) != X1 | X0 != X3))) & (sP463(X2,X1,X0) | sP462(X2,X1,X0) | ? [X4 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X4) = X2 & zero_zero(int) = X1 & X0 = X4) | ~sP464(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f33244])).
% 59.09/9.97  tff(f33244,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP464(X0,X1,X2) | (~sP463(X2,X1,X0) & ~sP462(X2,X1,X0) & ! [X10 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X10) != X2 | zero_zero(int) != X1 | X0 != X10))) & (sP463(X2,X1,X0) | sP462(X2,X1,X0) | ? [X10 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10) | ~sP464(X0,X1,X2)))),
% 59.09/9.97    inference(flattening,[],[f33243])).
% 59.09/9.97  tff(f33243,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP464(X0,X1,X2) | (~sP463(X2,X1,X0) & ~sP462(X2,X1,X0) & ! [X10 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X10) != X2 | zero_zero(int) != X1 | X0 != X10))) & ((sP463(X2,X1,X0) | sP462(X2,X1,X0) | ? [X10 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)) | ~sP464(X0,X1,X2)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27774])).
% 59.09/9.97  tff(f27774,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (sP464(X0,X1,X2) <=> (sP463(X2,X1,X0) | sP462(X2,X1,X0) | ? [X10 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP464])])).
% 59.09/9.97  tff(f89490,plain,(
% 59.09/9.97    spl2737_3476 | ~spl2737_3475),
% 59.09/9.97    inference(avatar_split_clause,[],[f89486,f89483,f89488])).
% 59.09/9.97  tff(f89488,plain,(
% 59.09/9.97    spl2737_3476 <=> ! [X0 : fun(nat,nat),X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X1),sK2322(X0,X1))) | ~sP461(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3476])])).
% 59.09/9.97  tff(f89483,plain,(
% 59.09/9.97    spl2737_3475 <=> ! [X0 : fun(nat,nat),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2322(X0,X1)),X1)) | ~sP461(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3475])])).
% 59.09/9.97  tff(f89486,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,nat),X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X1),sK2322(X0,X1))) | ~sP461(X0,X1)) ) | ~spl2737_3475),
% 59.09/9.97    inference(forward_demodulation,[],[f89484,f50171])).
% 59.09/9.97  tff(f89484,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,nat),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2322(X0,X1)),X1)) | ~sP461(X0,X1)) ) | ~spl2737_3475),
% 59.09/9.97    inference(avatar_component_clause,[],[f89483])).
% 59.09/9.97  tff(f89485,plain,(
% 59.09/9.97    spl2737_3475),
% 59.09/9.97    inference(avatar_split_clause,[],[f48334,f89483])).
% 59.09/9.97  tff(f48334,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,nat),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2322(X0,X1)),X1)) | ~sP461(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33165])).
% 59.09/9.97  tff(f33165,plain,(
% 59.09/9.97    ! [X0 : fun(nat,nat),X1 : nat] : ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,X0,sK2321(X0,X1))),aa(nat,nat,X0,sK2322(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2322(X0,X1)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2321(X0,X1)),sK2322(X0,X1)))) | ~sP461(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2321,sK2322])],[f33163,f33164])).
% 59.09/9.97  tff(f33164,plain,(
% 59.09/9.97    ! [X0 : fun(nat,nat),X1 : nat] : (? [X2 : nat,X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,X0,X2)),aa(nat,nat,X0,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) => (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,X0,sK2321(X0,X1))),aa(nat,nat,X0,sK2322(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2322(X0,X1)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2321(X0,X1)),sK2322(X0,X1)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33163,plain,(
% 59.09/9.97    ! [X0 : fun(nat,nat),X1 : nat] : (? [X2 : nat,X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,X0,X2)),aa(nat,nat,X0,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~sP461(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f33162])).
% 59.09/9.97  tff(f33162,plain,(
% 59.09/9.97    ! [X1 : fun(nat,nat),X0 : nat] : (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,X1,X3)),aa(nat,nat,X1,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~sP461(X1,X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27770])).
% 59.09/9.97  tff(f27770,plain,(
% 59.09/9.97    ! [X1 : fun(nat,nat),X0 : nat] : (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,X1,X3)),aa(nat,nat,X1,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~sP461(X1,X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP461])])).
% 59.09/9.97  tff(f89470,plain,(
% 59.09/9.97    spl2737_3474 | ~spl2737_3473),
% 59.09/9.97    inference(avatar_split_clause,[],[f89466,f89463,f89468])).
% 59.09/9.97  tff(f89468,plain,(
% 59.09/9.97    spl2737_3474 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X1),sK2300(X0,X1))) | ~sP460(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3474])])).
% 59.09/9.97  tff(f89463,plain,(
% 59.09/9.97    spl2737_3473 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2300(X0,X1)),X1)) | ~sP460(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3473])])).
% 59.09/9.97  tff(f89466,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X1),sK2300(X0,X1))) | ~sP460(X0,X1)) ) | ~spl2737_3473),
% 59.09/9.97    inference(forward_demodulation,[],[f89464,f50171])).
% 59.09/9.97  tff(f89464,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2300(X0,X1)),X1)) | ~sP460(X0,X1)) ) | ~spl2737_3473),
% 59.09/9.97    inference(avatar_component_clause,[],[f89463])).
% 59.09/9.97  tff(f89465,plain,(
% 59.09/9.97    spl2737_3473),
% 59.09/9.97    inference(avatar_split_clause,[],[f48288,f89463])).
% 59.09/9.97  tff(f48288,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2300(X0,X1)),X1)) | ~sP460(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33118])).
% 59.09/9.97  tff(f33118,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : nat] : ((~pp(aa(nat,bool,X0,sK2300(X0,X1))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2300(X0,X1)),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2300(X0,X1)),X1))) | ~sP460(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2300])],[f33116,f33117])).
% 59.09/9.97  tff(f33117,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : nat] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))) => (~pp(aa(nat,bool,X0,sK2300(X0,X1))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2300(X0,X1)),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2300(X0,X1)),X1))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33116,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : nat] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))) | ~sP460(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f33115])).
% 59.09/9.97  tff(f33115,plain,(
% 59.09/9.97    ! [X1 : fun(nat,bool),X0 : nat] : (? [X4 : nat] : (~pp(aa(nat,bool,X1,X4)) & ! [X5 : nat] : (pp(aa(nat,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X0))) | ~sP460(X1,X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27768])).
% 59.09/9.97  tff(f27768,plain,(
% 59.09/9.97    ! [X1 : fun(nat,bool),X0 : nat] : (? [X4 : nat] : (~pp(aa(nat,bool,X1,X4)) & ! [X5 : nat] : (pp(aa(nat,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X0))) | ~sP460(X1,X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP460])])).
% 59.09/9.97  tff(f89461,plain,(
% 59.09/9.97    spl2737_3472),
% 59.09/9.97    inference(avatar_split_clause,[],[f48179,f89459])).
% 59.09/9.97  tff(f89459,plain,(
% 59.09/9.97    spl2737_3472 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sK2241(X0,X1,X2) = X0 | sK2240(X0,X1,X2) = X0 | ~pp(X1) | ~sP438(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3472])])).
% 59.09/9.97  tff(f48179,plain,(
% 59.09/9.97    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sK2241(X0,X1,X2) = X0 | sK2240(X0,X1,X2) = X0 | ~pp(X1) | ~sP438(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f33004])).
% 59.09/9.97  tff(f33004,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (((sK2241(X0,X1,X2) = X0 | sK2240(X0,X1,X2) = X0 | ~pp(X1)) & ((sK2241(X0,X1,X2) != X0 & sK2240(X0,X1,X2) != X0) | pp(X1)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK2240(X0,X1,X2)),sK2241(X0,X1,X2))),zero_zero(nat),sK2242(X0,X1,X2),sK2243(X0,X1,X2)) = X2) | ~sP438(X0,X1,X2))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2240,sK2241,sK2242,sK2243])],[f33001,f33003,f33002])).
% 59.09/9.97  tff(f33002,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat] : ((X0 = X4 | X0 = X3 | ~pp(X1)) & ((X0 != X4 & X0 != X3) | pp(X1)) & ? [X5 : list(vEBT_VEBT),X6 : 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),product_Pair(nat,nat,X3),X4)),zero_zero(nat),X5,X6) = X2) => ((sK2241(X0,X1,X2) = X0 | sK2240(X0,X1,X2) = X0 | ~pp(X1)) & ((sK2241(X0,X1,X2) != X0 & sK2240(X0,X1,X2) != X0) | pp(X1)) & ? [X6 : vEBT_VEBT,X5 : list(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),product_Pair(nat,nat,sK2240(X0,X1,X2)),sK2241(X0,X1,X2))),zero_zero(nat),X5,X6) = X2))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33003,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X6 : vEBT_VEBT,X5 : list(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),product_Pair(nat,nat,sK2240(X0,X1,X2)),sK2241(X0,X1,X2))),zero_zero(nat),X5,X6) = X2 => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK2240(X0,X1,X2)),sK2241(X0,X1,X2))),zero_zero(nat),sK2242(X0,X1,X2),sK2243(X0,X1,X2)) = X2)),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f33001,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat] : ((X0 = X4 | X0 = X3 | ~pp(X1)) & ((X0 != X4 & X0 != X3) | pp(X1)) & ? [X5 : list(vEBT_VEBT),X6 : 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),product_Pair(nat,nat,X3),X4)),zero_zero(nat),X5,X6) = X2) | ~sP438(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f33000])).
% 59.09/9.97  tff(f33000,plain,(
% 59.09/9.97    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat] : ((X1 = X8 | X1 = X7 | ~pp(X2)) & ((X1 != X8 & X1 != X7) | pp(X2)) & ? [X9 : list(vEBT_VEBT),X10 : 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),product_Pair(nat,nat,X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP438(X1,X2,X0))),
% 59.09/9.97    inference(flattening,[],[f32999])).
% 59.09/9.97  tff(f32999,plain,(
% 59.09/9.97    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat] : ((((X1 = X8 | X1 = X7) | ~pp(X2)) & ((X1 != X8 & X1 != X7) | pp(X2))) & ? [X9 : list(vEBT_VEBT),X10 : 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),product_Pair(nat,nat,X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP438(X1,X2,X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27742])).
% 59.09/9.97  tff(f27742,plain,(
% 59.09/9.97    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat] : ((pp(X2) <~> (X1 != X8 & X1 != X7)) & ? [X9 : list(vEBT_VEBT),X10 : 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),product_Pair(nat,nat,X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP438(X1,X2,X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP438])])).
% 59.09/9.97  tff(f89457,plain,(
% 59.09/9.97    spl2737_3471 | ~spl2737_3470),
% 59.09/9.97    inference(avatar_split_clause,[],[f89453,f89450,f89455])).
% 59.09/9.97  tff(f89455,plain,(
% 59.09/9.97    spl2737_3471 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP405(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3471])])).
% 59.09/9.97  tff(f89450,plain,(
% 59.09/9.97    spl2737_3470 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP405(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3470])])).
% 59.09/9.97  tff(f89453,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP405(X0,X1,X2)) ) | ~spl2737_3470),
% 59.09/9.97    inference(forward_demodulation,[],[f89451,f50171])).
% 59.09/9.97  tff(f89451,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP405(X0,X1,X2)) ) | ~spl2737_3470),
% 59.09/9.97    inference(avatar_component_clause,[],[f89450])).
% 59.09/9.97  tff(f89452,plain,(
% 59.09/9.97    spl2737_3470),
% 59.09/9.97    inference(avatar_split_clause,[],[f48054,f89450])).
% 59.09/9.97  tff(f48054,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP405(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32881])).
% 59.09/9.97  tff(f32881,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X0))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | ~sP405(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32880])).
% 59.09/9.97  tff(f32880,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X0),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP405(X1,X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27703])).
% 59.09/9.97  tff(f27703,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X0),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP405(X1,X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP405])])).
% 59.09/9.97  tff(f89448,plain,(
% 59.09/9.97    spl2737_3469 | ~spl2737_3468),
% 59.09/9.97    inference(avatar_split_clause,[],[f89444,f89441,f89446])).
% 59.09/9.97  tff(f89446,plain,(
% 59.09/9.97    spl2737_3469 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP405(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3469])])).
% 59.09/9.97  tff(f89441,plain,(
% 59.09/9.97    spl2737_3468 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP405(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3468])])).
% 59.09/9.97  tff(f89444,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP405(X0,X1,X2)) ) | ~spl2737_3468),
% 59.09/9.97    inference(forward_demodulation,[],[f89442,f50171])).
% 59.09/9.97  tff(f89442,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP405(X0,X1,X2)) ) | ~spl2737_3468),
% 59.09/9.97    inference(avatar_component_clause,[],[f89441])).
% 59.09/9.97  tff(f89443,plain,(
% 59.09/9.97    spl2737_3468),
% 59.09/9.97    inference(avatar_split_clause,[],[f48053,f89441])).
% 59.09/9.97  tff(f48053,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP405(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32881])).
% 59.09/9.97  tff(f89439,plain,(
% 59.09/9.97    spl2737_3467 | ~spl2737_3466),
% 59.09/9.97    inference(avatar_split_clause,[],[f89435,f89432,f89437])).
% 59.09/9.97  tff(f89437,plain,(
% 59.09/9.97    spl2737_3467 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X0)) | ~sP406(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3467])])).
% 59.09/9.97  tff(f89432,plain,(
% 59.09/9.97    spl2737_3466 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) | ~sP406(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3466])])).
% 59.09/9.97  tff(f89435,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X0)) | ~sP406(X0,X1,X2)) ) | ~spl2737_3466),
% 59.09/9.97    inference(forward_demodulation,[],[f89433,f50171])).
% 59.09/9.97  tff(f89433,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) | ~sP406(X0,X1,X2)) ) | ~spl2737_3466),
% 59.09/9.97    inference(avatar_component_clause,[],[f89432])).
% 59.09/9.97  tff(f89434,plain,(
% 59.09/9.97    spl2737_3466),
% 59.09/9.97    inference(avatar_split_clause,[],[f48051,f89432])).
% 59.09/9.97  tff(f48051,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) | ~sP406(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32879])).
% 59.09/9.97  tff(f32879,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),aa(int,int,uminus_uminus(int),X0)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | ~sP406(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32878])).
% 59.09/9.97  tff(f32878,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X0),aa(int,int,uminus_uminus(int),X1)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP406(X1,X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27704])).
% 59.09/9.97  tff(f27704,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X0),aa(int,int,uminus_uminus(int),X1)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP406(X1,X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP406])])).
% 59.09/9.97  tff(f89430,plain,(
% 59.09/9.97    spl2737_3465 | ~spl2737_3464),
% 59.09/9.97    inference(avatar_split_clause,[],[f89426,f89423,f89428])).
% 59.09/9.97  tff(f89428,plain,(
% 59.09/9.97    spl2737_3465 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP406(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3465])])).
% 59.09/9.97  tff(f89423,plain,(
% 59.09/9.97    spl2737_3464 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP406(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3464])])).
% 59.09/9.97  tff(f89426,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP406(X0,X1,X2)) ) | ~spl2737_3464),
% 59.09/9.97    inference(forward_demodulation,[],[f89424,f50171])).
% 59.09/9.97  tff(f89424,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP406(X0,X1,X2)) ) | ~spl2737_3464),
% 59.09/9.97    inference(avatar_component_clause,[],[f89423])).
% 59.09/9.97  tff(f89425,plain,(
% 59.09/9.97    spl2737_3464),
% 59.09/9.97    inference(avatar_split_clause,[],[f48050,f89423])).
% 59.09/9.97  tff(f48050,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP406(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32879])).
% 59.09/9.97  tff(f89421,plain,(
% 59.09/9.97    spl2737_3463 | ~spl2737_3462),
% 59.09/9.97    inference(avatar_split_clause,[],[f89417,f89414,f89419])).
% 59.09/9.97  tff(f89419,plain,(
% 59.09/9.97    spl2737_3463 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP407(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3463])])).
% 59.09/9.97  tff(f89414,plain,(
% 59.09/9.97    spl2737_3462 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP407(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3462])])).
% 59.09/9.97  tff(f89417,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP407(X0,X1,X2)) ) | ~spl2737_3462),
% 59.09/9.97    inference(forward_demodulation,[],[f89415,f50171])).
% 59.09/9.97  tff(f89415,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP407(X0,X1,X2)) ) | ~spl2737_3462),
% 59.09/9.97    inference(avatar_component_clause,[],[f89414])).
% 59.09/9.97  tff(f89416,plain,(
% 59.09/9.97    spl2737_3462),
% 59.09/9.97    inference(avatar_split_clause,[],[f48048,f89414])).
% 59.09/9.97  tff(f48048,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP407(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32877])).
% 59.09/9.97  tff(f32877,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),aa(int,int,uminus_uminus(int),X1)),X0))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int)))) | ~sP407(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32876])).
% 59.09/9.97  tff(f32876,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),aa(int,int,uminus_uminus(int),X0)),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | ~sP407(X1,X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27705])).
% 59.09/9.97  tff(f27705,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_gcd(int),aa(int,int,uminus_uminus(int),X0)),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | ~sP407(X1,X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP407])])).
% 59.09/9.97  tff(f89412,plain,(
% 59.09/9.97    spl2737_3461 | ~spl2737_3460),
% 59.09/9.97    inference(avatar_split_clause,[],[f89408,f89405,f89410])).
% 59.09/9.97  tff(f89410,plain,(
% 59.09/9.97    spl2737_3461 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X1)) | ~sP407(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3461])])).
% 59.09/9.97  tff(f89405,plain,(
% 59.09/9.97    spl2737_3460 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) | ~sP407(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3460])])).
% 59.09/9.97  tff(f89408,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X1)) | ~sP407(X0,X1,X2)) ) | ~spl2737_3460),
% 59.09/9.97    inference(forward_demodulation,[],[f89406,f50171])).
% 59.09/9.97  tff(f89406,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) | ~sP407(X0,X1,X2)) ) | ~spl2737_3460),
% 59.09/9.97    inference(avatar_component_clause,[],[f89405])).
% 59.09/9.97  tff(f89407,plain,(
% 59.09/9.97    spl2737_3460),
% 59.09/9.97    inference(avatar_split_clause,[],[f48047,f89405])).
% 59.09/9.97  tff(f48047,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) | ~sP407(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32877])).
% 59.09/9.97  tff(f89403,plain,(
% 59.09/9.97    spl2737_3459 | ~spl2737_3458),
% 59.09/9.97    inference(avatar_split_clause,[],[f89399,f89396,f89401])).
% 59.09/9.97  tff(f89401,plain,(
% 59.09/9.97    spl2737_3459 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP402(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3459])])).
% 59.09/9.97  tff(f89396,plain,(
% 59.09/9.97    spl2737_3458 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP402(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3458])])).
% 59.09/9.97  tff(f89399,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP402(X0,X1,X2)) ) | ~spl2737_3458),
% 59.09/9.97    inference(forward_demodulation,[],[f89397,f50171])).
% 59.09/9.97  tff(f89397,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP402(X0,X1,X2)) ) | ~spl2737_3458),
% 59.09/9.97    inference(avatar_component_clause,[],[f89396])).
% 59.09/9.97  tff(f89398,plain,(
% 59.09/9.97    spl2737_3458),
% 59.09/9.97    inference(avatar_split_clause,[],[f48042,f89396])).
% 59.09/9.97  tff(f48042,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP402(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32875])).
% 59.09/9.97  tff(f32875,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X0))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | ~sP402(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32874])).
% 59.09/9.97  tff(f32874,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP402(X1,X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27699])).
% 59.09/9.97  tff(f27699,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP402(X1,X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP402])])).
% 59.09/9.97  tff(f89394,plain,(
% 59.09/9.97    spl2737_3457 | ~spl2737_3456),
% 59.09/9.97    inference(avatar_split_clause,[],[f89390,f89387,f89392])).
% 59.09/9.97  tff(f89392,plain,(
% 59.09/9.97    spl2737_3457 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP402(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3457])])).
% 59.09/9.97  tff(f89387,plain,(
% 59.09/9.97    spl2737_3456 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP402(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3456])])).
% 59.09/9.97  tff(f89390,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP402(X0,X1,X2)) ) | ~spl2737_3456),
% 59.09/9.97    inference(forward_demodulation,[],[f89388,f50171])).
% 59.09/9.97  tff(f89388,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP402(X0,X1,X2)) ) | ~spl2737_3456),
% 59.09/9.97    inference(avatar_component_clause,[],[f89387])).
% 59.09/9.97  tff(f89389,plain,(
% 59.09/9.97    spl2737_3456),
% 59.09/9.97    inference(avatar_split_clause,[],[f48041,f89387])).
% 59.09/9.97  tff(f48041,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP402(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32875])).
% 59.09/9.97  tff(f89385,plain,(
% 59.09/9.97    spl2737_3455 | ~spl2737_3454),
% 59.09/9.97    inference(avatar_split_clause,[],[f89381,f89378,f89383])).
% 59.09/9.97  tff(f89383,plain,(
% 59.09/9.97    spl2737_3455 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X0)) | ~sP403(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3455])])).
% 59.09/9.97  tff(f89378,plain,(
% 59.09/9.97    spl2737_3454 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) | ~sP403(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3454])])).
% 59.09/9.97  tff(f89381,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X0)) | ~sP403(X0,X1,X2)) ) | ~spl2737_3454),
% 59.09/9.97    inference(forward_demodulation,[],[f89379,f50171])).
% 59.09/9.97  tff(f89379,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) | ~sP403(X0,X1,X2)) ) | ~spl2737_3454),
% 59.09/9.97    inference(avatar_component_clause,[],[f89378])).
% 59.09/9.97  tff(f89380,plain,(
% 59.09/9.97    spl2737_3454),
% 59.09/9.97    inference(avatar_split_clause,[],[f48039,f89378])).
% 59.09/9.97  tff(f48039,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) | ~sP403(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32873])).
% 59.09/9.97  tff(f32873,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),aa(int,int,uminus_uminus(int),X0)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | ~sP403(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32872])).
% 59.09/9.97  tff(f32872,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),aa(int,int,uminus_uminus(int),X1)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP403(X1,X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27700])).
% 59.09/9.97  tff(f27700,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),aa(int,int,uminus_uminus(int),X1)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | ~sP403(X1,X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP403])])).
% 59.09/9.97  tff(f89376,plain,(
% 59.09/9.97    spl2737_3453 | ~spl2737_3452),
% 59.09/9.97    inference(avatar_split_clause,[],[f89372,f89369,f89374])).
% 59.09/9.97  tff(f89374,plain,(
% 59.09/9.97    spl2737_3453 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP403(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3453])])).
% 59.09/9.97  tff(f89369,plain,(
% 59.09/9.97    spl2737_3452 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP403(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3452])])).
% 59.09/9.97  tff(f89372,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X1),zero_zero(int))) | ~sP403(X0,X1,X2)) ) | ~spl2737_3452),
% 59.09/9.97    inference(forward_demodulation,[],[f89370,f50171])).
% 59.09/9.97  tff(f89370,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP403(X0,X1,X2)) ) | ~spl2737_3452),
% 59.09/9.97    inference(avatar_component_clause,[],[f89369])).
% 59.09/9.97  tff(f89371,plain,(
% 59.09/9.97    spl2737_3452),
% 59.09/9.97    inference(avatar_split_clause,[],[f48038,f89369])).
% 59.09/9.97  tff(f48038,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~sP403(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32873])).
% 59.09/9.97  tff(f89367,plain,(
% 59.09/9.97    spl2737_3451 | ~spl2737_3450),
% 59.09/9.97    inference(avatar_split_clause,[],[f89363,f89360,f89365])).
% 59.09/9.97  tff(f89365,plain,(
% 59.09/9.97    spl2737_3451 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP404(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3451])])).
% 59.09/9.97  tff(f89360,plain,(
% 59.09/9.97    spl2737_3450 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP404(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3450])])).
% 59.09/9.97  tff(f89363,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),X0),zero_zero(int))) | ~sP404(X0,X1,X2)) ) | ~spl2737_3450),
% 59.09/9.97    inference(forward_demodulation,[],[f89361,f50171])).
% 59.09/9.97  tff(f89361,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP404(X0,X1,X2)) ) | ~spl2737_3450),
% 59.09/9.97    inference(avatar_component_clause,[],[f89360])).
% 59.09/9.97  tff(f89362,plain,(
% 59.09/9.97    spl2737_3450),
% 59.09/9.97    inference(avatar_split_clause,[],[f48036,f89360])).
% 59.09/9.97  tff(f48036,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~sP404(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32871])).
% 59.09/9.97  tff(f32871,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),aa(int,int,uminus_uminus(int),X1)),X0))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int)))) | ~sP404(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32870])).
% 59.09/9.97  tff(f32870,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),aa(int,int,uminus_uminus(int),X0)),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | ~sP404(X1,X0,X2))),
% 59.09/9.97    inference(nnf_transformation,[],[f27701])).
% 59.09/9.97  tff(f27701,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int,X2 : fun(int,bool)] : ((~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),gcd_lcm(int),aa(int,int,uminus_uminus(int),X0)),X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | ~sP404(X1,X0,X2))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP404])])).
% 59.09/9.97  tff(f89358,plain,(
% 59.09/9.97    spl2737_3449 | ~spl2737_3448),
% 59.09/9.97    inference(avatar_split_clause,[],[f89354,f89351,f89356])).
% 59.09/9.97  tff(f89356,plain,(
% 59.09/9.97    spl2737_3449 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X1)) | ~sP404(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3449])])).
% 59.09/9.97  tff(f89351,plain,(
% 59.09/9.97    spl2737_3448 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) | ~sP404(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3448])])).
% 59.09/9.97  tff(f89354,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),X1)) | ~sP404(X0,X1,X2)) ) | ~spl2737_3448),
% 59.09/9.97    inference(forward_demodulation,[],[f89352,f50171])).
% 59.09/9.97  tff(f89352,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) | ~sP404(X0,X1,X2)) ) | ~spl2737_3448),
% 59.09/9.97    inference(avatar_component_clause,[],[f89351])).
% 59.09/9.97  tff(f89353,plain,(
% 59.09/9.97    spl2737_3448),
% 59.09/9.97    inference(avatar_split_clause,[],[f48035,f89351])).
% 59.09/9.97  tff(f48035,plain,(
% 59.09/9.97    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))) | ~sP404(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32871])).
% 59.09/9.97  tff(f89349,plain,(
% 59.09/9.97    spl2737_3447 | ~spl2737_3446),
% 59.09/9.97    inference(avatar_split_clause,[],[f89345,f89342,f89347])).
% 59.09/9.97  tff(f89347,plain,(
% 59.09/9.97    spl2737_3447 <=> ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),X2),zero_zero(real))) | ~sP398(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3447])])).
% 59.09/9.97  tff(f89342,plain,(
% 59.09/9.97    spl2737_3446 <=> ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)) | ~sP398(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3446])])).
% 59.09/9.97  tff(f89345,plain,(
% 59.09/9.97    ( ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),X2),zero_zero(real))) | ~sP398(X0,X1,X2)) ) | ~spl2737_3446),
% 59.09/9.97    inference(forward_demodulation,[],[f89343,f50171])).
% 59.09/9.97  tff(f89343,plain,(
% 59.09/9.97    ( ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)) | ~sP398(X0,X1,X2)) ) | ~spl2737_3446),
% 59.09/9.97    inference(avatar_component_clause,[],[f89342])).
% 59.09/9.97  tff(f89344,plain,(
% 59.09/9.97    spl2737_3446),
% 59.09/9.97    inference(avatar_split_clause,[],[f47835,f89342])).
% 59.09/9.97  tff(f47835,plain,(
% 59.09/9.97    ( ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)) | ~sP398(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32810])).
% 59.09/9.97  tff(f32810,plain,(
% 59.09/9.97    ! [X0 : real,X1 : nat,X2 : real] : ((aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X1),X2)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat)))))) != X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ~sP398(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32809])).
% 59.09/9.97  tff(f32809,plain,(
% 59.09/9.97    ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat)))))) != X2 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~sP398(X2,X0,X1))),
% 59.09/9.97    inference(nnf_transformation,[],[f27693])).
% 59.09/9.97  tff(f27693,plain,(
% 59.09/9.97    ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat)))))) != X2 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~sP398(X2,X0,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP398])])).
% 59.09/9.97  tff(f89340,plain,(
% 59.09/9.97    spl2737_3445 | ~spl2737_3444),
% 59.09/9.97    inference(avatar_split_clause,[],[f89336,f89333,f89338])).
% 59.09/9.97  tff(f89338,plain,(
% 59.09/9.97    spl2737_3445 <=> ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),zero_zero(real)),X2)) | ~sP399(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3445])])).
% 59.09/9.97  tff(f89333,plain,(
% 59.09/9.97    spl2737_3444 <=> ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),zero_zero(real))) | ~sP399(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3444])])).
% 59.09/9.97  tff(f89336,plain,(
% 59.09/9.97    ( ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),zero_zero(real)),X2)) | ~sP399(X0,X1,X2)) ) | ~spl2737_3444),
% 59.09/9.97    inference(forward_demodulation,[],[f89334,f50171])).
% 59.09/9.97  tff(f89334,plain,(
% 59.09/9.97    ( ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),zero_zero(real))) | ~sP399(X0,X1,X2)) ) | ~spl2737_3444),
% 59.09/9.97    inference(avatar_component_clause,[],[f89333])).
% 59.09/9.97  tff(f89335,plain,(
% 59.09/9.97    spl2737_3444),
% 59.09/9.97    inference(avatar_split_clause,[],[f47832,f89333])).
% 59.09/9.97  tff(f47832,plain,(
% 59.09/9.97    ( ! [X2 : real,X0 : real,X1 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),zero_zero(real))) | ~sP399(X0,X1,X2)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32808])).
% 59.09/9.97  tff(f32808,plain,(
% 59.09/9.97    ! [X0 : real,X1 : nat,X2 : real] : ((aa(real,real,uminus_uminus(real),aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X1),X2)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),aa(nat,nat,suc,zero_zero(nat))))))) != X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),zero_zero(real))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ~sP399(X0,X1,X2))),
% 59.09/9.97    inference(rectify,[],[f32807])).
% 59.09/9.97  tff(f32807,plain,(
% 59.09/9.97    ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,uminus_uminus(real),aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))))))) != X2 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~sP399(X2,X0,X1))),
% 59.09/9.97    inference(nnf_transformation,[],[f27694])).
% 59.09/9.97  tff(f27694,plain,(
% 59.09/9.97    ! [X2 : real,X0 : nat,X1 : real] : ((aa(real,real,uminus_uminus(real),aa(real,real,inverse_inverse(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X0)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,root(X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),aa(nat,nat,suc,zero_zero(nat))))))) != X2 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~sP399(X2,X0,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP399])])).
% 59.09/9.97  tff(f89320,plain,(
% 59.09/9.97    spl2737_3443 | ~spl2737_3442),
% 59.09/9.97    inference(avatar_split_clause,[],[f89316,f89313,f89318])).
% 59.09/9.97  tff(f89318,plain,(
% 59.09/9.97    spl2737_3443 <=> ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),X0),zero_zero(int))) | sP397(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3443])])).
% 59.09/9.97  tff(f89313,plain,(
% 59.09/9.97    spl2737_3442 <=> ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (sP397(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3442])])).
% 59.09/9.97  tff(f89316,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),X0),zero_zero(int))) | sP397(X0,X2,X1)) ) | ~spl2737_3442),
% 59.09/9.97    inference(forward_demodulation,[],[f89314,f50171])).
% 59.09/9.97  tff(f89314,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (sP397(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0))) ) | ~spl2737_3442),
% 59.09/9.97    inference(avatar_component_clause,[],[f89313])).
% 59.09/9.97  tff(f89315,plain,(
% 59.09/9.97    spl2737_3442),
% 59.09/9.97    inference(avatar_split_clause,[],[f47815,f89313])).
% 59.09/9.97  tff(f47815,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (sP397(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f27692])).
% 59.09/9.97  tff(f27692,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : (sP397(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)))),
% 59.09/9.97    inference(definition_folding,[],[f25960,f27691,f27690])).
% 59.09/9.97  tff(f27690,plain,(
% 59.09/9.97    ! [X1 : fun(int,fun(int,bool)),X2 : int,X0 : int] : (sP396(X1,X2,X0) <=> ! [X3 : int,X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) != X2 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP396])])).
% 59.09/9.97  tff(f27691,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : fun(int,fun(int,bool))] : ((pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> sP396(X1,X2,X0)) | ~sP397(X0,X2,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP397])])).
% 59.09/9.97  tff(f25960,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> ! [X3 : int,X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) != X2 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4)))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)))),
% 59.09/9.97    inference(flattening,[],[f25959])).
% 59.09/9.97  tff(f25959,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> ! [X3 : int,X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) != X2 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4))))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)))),
% 59.09/9.97    inference(ennf_transformation,[],[f17218])).
% 59.09/9.97  tff(f17218,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)) => (pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) = X2 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X4),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X4))) => pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)))))),
% 59.09/9.97    inference(rectify,[],[f1778])).
% 59.09/9.97  tff(f1778,axiom,(
% 59.09/9.97    ! [X18 : int,X17 : fun(int,fun(int,bool)),X8 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X18)) => (pp(aa(int,bool,aa(int,fun(int,bool),X17,divide_divide(int,X8,X18)),modulo_modulo(int,X8,X18))) <=> ! [X29 : int,X35 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X18),X29)),X35) = X8 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X35),X18)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X35))) => pp(aa(int,bool,aa(int,fun(int,bool),X17,X29),X35)))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1777_split__pos__lemma)).
% 59.09/9.97  tff(f89269,plain,(
% 59.09/9.97    spl2737_3441 | ~spl2737_3440),
% 59.09/9.97    inference(avatar_split_clause,[],[f89265,f89262,f89267])).
% 59.09/9.97  tff(f89267,plain,(
% 59.09/9.97    spl2737_3441 <=> ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),X0)) | sP393(X0,X2,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3441])])).
% 59.09/9.97  tff(f89262,plain,(
% 59.09/9.97    spl2737_3440 <=> ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (sP393(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3440])])).
% 59.09/9.97  tff(f89265,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),X0)) | sP393(X0,X2,X1)) ) | ~spl2737_3440),
% 59.09/9.97    inference(forward_demodulation,[],[f89263,f50171])).
% 59.09/9.97  tff(f89263,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (sP393(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int)))) ) | ~spl2737_3440),
% 59.09/9.97    inference(avatar_component_clause,[],[f89262])).
% 59.09/9.97  tff(f89264,plain,(
% 59.09/9.97    spl2737_3440),
% 59.09/9.97    inference(avatar_split_clause,[],[f47758,f89262])).
% 59.09/9.97  tff(f47758,plain,(
% 59.09/9.97    ( ! [X2 : int,X0 : int,X1 : fun(int,fun(int,bool))] : (sP393(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f27685])).
% 59.09/9.97  tff(f27685,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : (sP393(X0,X2,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int))))),
% 59.09/9.97    inference(definition_folding,[],[f25916,f27684,f27683])).
% 59.09/9.97  tff(f27683,plain,(
% 59.09/9.97    ! [X1 : fun(int,fun(int,bool)),X2 : int,X0 : int] : (sP392(X1,X2,X0) <=> ! [X3 : int,X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) != X2 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X4))))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP392])])).
% 59.09/9.97  tff(f27684,plain,(
% 59.09/9.97    ! [X0 : int,X2 : int,X1 : fun(int,fun(int,bool))] : ((pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> sP392(X1,X2,X0)) | ~sP393(X0,X2,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP393])])).
% 59.09/9.97  tff(f25916,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> ! [X3 : int,X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) != X2 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X4)))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int))))),
% 59.09/9.97    inference(flattening,[],[f25915])).
% 59.09/9.97  tff(f25915,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> ! [X3 : int,X4 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) != X2 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X4))))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int))))),
% 59.09/9.97    inference(ennf_transformation,[],[f17194])).
% 59.09/9.97  tff(f17194,plain,(
% 59.09/9.97    ! [X0 : int,X1 : fun(int,fun(int,bool)),X2 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int))) => (pp(aa(int,bool,aa(int,fun(int,bool),X1,divide_divide(int,X2,X0)),modulo_modulo(int,X2,X0))) <=> ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X0),X3)),X4) = X2 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X4))) => pp(aa(int,bool,aa(int,fun(int,bool),X1,X3),X4)))))),
% 59.09/9.97    inference(rectify,[],[f1779])).
% 59.09/9.97  tff(f1779,axiom,(
% 59.09/9.97    ! [X18 : int,X17 : fun(int,fun(int,bool)),X8 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),zero_zero(int))) => (pp(aa(int,bool,aa(int,fun(int,bool),X17,divide_divide(int,X8,X18)),modulo_modulo(int,X8,X18))) <=> ! [X29 : int,X35 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X18),X29)),X35) = X8 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X35),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),X35))) => pp(aa(int,bool,aa(int,fun(int,bool),X17,X29),X35)))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1778_split__neg__lemma)).
% 59.09/9.97  tff(f89243,plain,(
% 59.09/9.97    spl2737_3439 | ~spl2737_3438),
% 59.09/9.97    inference(avatar_split_clause,[],[f89239,f89236,f89241])).
% 59.09/9.97  tff(f89241,plain,(
% 59.09/9.97    spl2737_3439 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X1),sK2099(X0,X1))) | ~sP391(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3439])])).
% 59.09/9.97  tff(f89236,plain,(
% 59.09/9.97    spl2737_3438 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2099(X0,X1)),X1)) | ~sP391(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3438])])).
% 59.09/9.97  tff(f89239,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X1),sK2099(X0,X1))) | ~sP391(X0,X1)) ) | ~spl2737_3438),
% 59.09/9.97    inference(forward_demodulation,[],[f89237,f50171])).
% 59.09/9.97  tff(f89237,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2099(X0,X1)),X1)) | ~sP391(X0,X1)) ) | ~spl2737_3438),
% 59.09/9.97    inference(avatar_component_clause,[],[f89236])).
% 59.09/9.97  tff(f89238,plain,(
% 59.09/9.97    spl2737_3438),
% 59.09/9.97    inference(avatar_split_clause,[],[f47691,f89236])).
% 59.09/9.97  tff(f47691,plain,(
% 59.09/9.97    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2099(X0,X1)),X1)) | ~sP391(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32713])).
% 59.09/9.97  tff(f32713,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : nat] : ((~pp(aa(nat,bool,X0,sK2099(X0,X1))) & pp(aa(nat,bool,X0,aa(nat,nat,suc,sK2099(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2099(X0,X1)),X1))) | ~sP391(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2099])],[f32711,f32712])).
% 59.09/9.97  tff(f32712,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : nat] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & pp(aa(nat,bool,X0,aa(nat,nat,suc,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1))) => (~pp(aa(nat,bool,X0,sK2099(X0,X1))) & pp(aa(nat,bool,X0,aa(nat,nat,suc,sK2099(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2099(X0,X1)),X1))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f32711,plain,(
% 59.09/9.97    ! [X0 : fun(nat,bool),X1 : nat] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & pp(aa(nat,bool,X0,aa(nat,nat,suc,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1))) | ~sP391(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f32710])).
% 59.09/9.97  tff(f32710,plain,(
% 59.09/9.97    ! [X2 : fun(nat,bool),X1 : nat] : (? [X4 : nat] : (~pp(aa(nat,bool,X2,X4)) & pp(aa(nat,bool,X2,aa(nat,nat,suc,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X1))) | ~sP391(X2,X1))),
% 59.09/9.97    inference(nnf_transformation,[],[f27681])).
% 59.09/9.97  tff(f27681,plain,(
% 59.09/9.97    ! [X2 : fun(nat,bool),X1 : nat] : (? [X4 : nat] : (~pp(aa(nat,bool,X2,X4)) & pp(aa(nat,bool,X2,aa(nat,nat,suc,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X1))) | ~sP391(X2,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP391])])).
% 59.09/9.97  tff(f89216,plain,(
% 59.09/9.97    spl2737_3437 | ~spl2737_3436),
% 59.09/9.97    inference(avatar_split_clause,[],[f89212,f89209,f89214])).
% 59.09/9.97  tff(f89214,plain,(
% 59.09/9.97    spl2737_3437 <=> ! [X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),sK2060(X0,X1)),X1)) | ~sP385(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3437])])).
% 59.09/9.97  tff(f89209,plain,(
% 59.09/9.97    spl2737_3436 <=> ! [X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),sK2060(X0,X1))) | ~sP385(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3436])])).
% 59.09/9.97  tff(f89212,plain,(
% 59.09/9.97    ( ! [X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),sK2060(X0,X1)),X1)) | ~sP385(X0,X1)) ) | ~spl2737_3436),
% 59.09/9.97    inference(forward_demodulation,[],[f89210,f50171])).
% 59.09/9.97  tff(f89210,plain,(
% 59.09/9.97    ( ! [X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),sK2060(X0,X1))) | ~sP385(X0,X1)) ) | ~spl2737_3436),
% 59.09/9.97    inference(avatar_component_clause,[],[f89209])).
% 59.09/9.97  tff(f89211,plain,(
% 59.09/9.97    spl2737_3436),
% 59.09/9.97    inference(avatar_split_clause,[],[f47476,f89209])).
% 59.09/9.97  tff(f47476,plain,(
% 59.09/9.97    ( ! [X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),sK2060(X0,X1))) | ~sP385(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32619])).
% 59.09/9.97  tff(f32619,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int] : ((~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2060(X0,X1)),one_one(int)))) & pp(aa(int,bool,X0,sK2060(X0,X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),sK2060(X0,X1)))) | ~sP385(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2060])],[f32617,f32618])).
% 59.09/9.97  tff(f32618,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int] : (? [X2 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),one_one(int)))) & pp(aa(int,bool,X0,X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),X2))) => (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2060(X0,X1)),one_one(int)))) & pp(aa(int,bool,X0,sK2060(X0,X1))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),sK2060(X0,X1)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f32617,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int] : (? [X2 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X2),one_one(int)))) & pp(aa(int,bool,X0,X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),X2))) | ~sP385(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f32616])).
% 59.09/9.97  tff(f32616,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int] : (? [X3 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)))) & pp(aa(int,bool,X0,X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),X3))) | ~sP385(X0,X1))),
% 59.09/9.97    inference(nnf_transformation,[],[f27671])).
% 59.09/9.97  tff(f27671,plain,(
% 59.09/9.97    ! [X0 : fun(int,bool),X1 : int] : (? [X3 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),one_one(int)))) & pp(aa(int,bool,X0,X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X1),X3))) | ~sP385(X0,X1))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP385])])).
% 59.09/9.97  tff(f89207,plain,(
% 59.09/9.97    spl2737_3435),
% 59.09/9.97    inference(avatar_split_clause,[],[f47091,f89205])).
% 59.09/9.97  tff(f89205,plain,(
% 59.09/9.97    spl2737_3435 <=> ! [X0 : $tType,X2 : list(X0),X1 : set(X0)] : aa(list(X0),set(X0),aTP_Lamp_acz(set(X0),fun(list(X0),set(X0)),X1),X2) = X1),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3435])])).
% 59.09/9.97  tff(f47091,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : list(X0),X1 : set(X0)] : (aa(list(X0),set(X0),aTP_Lamp_acz(set(X0),fun(list(X0),set(X0)),X1),X2) = X1) )),
% 59.09/9.97    inference(cnf_transformation,[],[f16748])).
% 59.09/9.97  tff(f16748,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : set(X0),X2 : list(X0)] : aa(list(X0),set(X0),aTP_Lamp_acz(set(X0),fun(list(X0),set(X0)),X1),X2) = X1),
% 59.09/9.97    inference(rectify,[],[f8935])).
% 59.09/9.97  tff(f8935,axiom,(
% 59.09/9.97    ! [X0 : $tType,X94 : set(X0),X353 : list(X0)] : aa(list(X0),set(X0),aTP_Lamp_acz(set(X0),fun(list(X0),set(X0)),X94),X353) = X94),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8934_ATP_Olambda__819)).
% 59.09/9.97  tff(f89203,plain,(
% 59.09/9.97    spl2737_3434),
% 59.09/9.97    inference(avatar_split_clause,[],[f47090,f89201])).
% 59.09/9.97  tff(f89201,plain,(
% 59.09/9.97    spl2737_3434 <=> ! [X0 : $tType,X2 : list(X0),X1 : nat] : take(X0,X1,tl(X0,X2)) = tl(X0,take(X0,aa(nat,nat,suc,X1),X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3434])])).
% 59.09/9.97  tff(f47090,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X2 : list(X0),X1 : nat] : (take(X0,X1,tl(X0,X2)) = tl(X0,take(X0,aa(nat,nat,suc,X1),X2))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f16747])).
% 59.09/9.97  tff(f16747,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : nat,X2 : list(X0)] : take(X0,X1,tl(X0,X2)) = tl(X0,take(X0,aa(nat,nat,suc,X1),X2))),
% 59.09/9.97    inference(rectify,[],[f5556])).
% 59.09/9.97  tff(f5556,axiom,(
% 59.09/9.97    ! [X0 : $tType,X8 : nat,X123 : list(X0)] : take(X0,X8,tl(X0,X123)) = tl(X0,take(X0,aa(nat,nat,suc,X8),X123))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5555_take__tl)).
% 59.09/9.97  tff(f89197,plain,(
% 59.09/9.97    spl2737_3433 | ~spl2737_3432),
% 59.09/9.97    inference(avatar_split_clause,[],[f89193,f89190,f89195])).
% 59.09/9.97  tff(f89195,plain,(
% 59.09/9.97    spl2737_3433 <=> ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,combc(int,int,int,times_times(int),X1),X0) | ~sP357(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3433])])).
% 59.09/9.97  tff(f89190,plain,(
% 59.09/9.97    spl2737_3432 <=> ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) | ~sP357(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3432])])).
% 59.09/9.97  tff(f89193,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,combc(int,int,int,times_times(int),X1),X0) | ~sP357(X1,X0)) ) | ~spl2737_3432),
% 59.09/9.97    inference(forward_demodulation,[],[f89191,f50171])).
% 59.09/9.97  tff(f89191,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) | ~sP357(X1,X0)) ) | ~spl2737_3432),
% 59.09/9.97    inference(avatar_component_clause,[],[f89190])).
% 59.09/9.97  tff(f89192,plain,(
% 59.09/9.97    spl2737_3432),
% 59.09/9.97    inference(avatar_split_clause,[],[f46633,f89190])).
% 59.09/9.97  tff(f46633,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) | ~sP357(X1,X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32207])).
% 59.09/9.97  tff(f32207,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : ((one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) | ~sP357(X1,X0)) & (sP357(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27627])).
% 59.09/9.97  tff(f27627,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) <=> sP357(X1,X0))),
% 59.09/9.97    inference(definition_folding,[],[f16568,f27626])).
% 59.09/9.97  tff(f27626,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int] : (sP357(X1,X0) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0)))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP357])])).
% 59.09/9.97  tff(f16568,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0)))),
% 59.09/9.97    inference(rectify,[],[f1185])).
% 59.09/9.97  tff(f1185,axiom,(
% 59.09/9.97    ! [X9 : int,X8 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X9),X8) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X8 & aa(int,int,uminus_uminus(int),one_one(int)) = X9) | (one_one(int) = X8 & one_one(int) = X9)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1184_zmult__eq__1__iff)).
% 59.09/9.97  tff(f89188,plain,(
% 59.09/9.97    spl2737_3431 | ~spl2737_3430),
% 59.09/9.97    inference(avatar_split_clause,[],[f89184,f89181,f89186])).
% 59.09/9.97  tff(f89186,plain,(
% 59.09/9.97    spl2737_3431 <=> ! [X0 : int,X1 : int] : (one_one(int) != aa(int,int,combc(int,int,int,times_times(int),X1),X0) | sP357(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3431])])).
% 59.09/9.97  tff(f89181,plain,(
% 59.09/9.97    spl2737_3430 <=> ! [X0 : int,X1 : int] : (sP357(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3430])])).
% 59.09/9.97  tff(f89184,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) != aa(int,int,combc(int,int,int,times_times(int),X1),X0) | sP357(X1,X0)) ) | ~spl2737_3430),
% 59.09/9.97    inference(forward_demodulation,[],[f89182,f50171])).
% 59.09/9.97  tff(f89182,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (sP357(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1)) ) | ~spl2737_3430),
% 59.09/9.97    inference(avatar_component_clause,[],[f89181])).
% 59.09/9.97  tff(f89183,plain,(
% 59.09/9.97    spl2737_3430),
% 59.09/9.97    inference(avatar_split_clause,[],[f46632,f89181])).
% 59.09/9.97  tff(f46632,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (sP357(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),times_times(int),X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32207])).
% 59.09/9.97  tff(f89173,plain,(
% 59.09/9.97    spl2737_3429 | ~spl2737_3428),
% 59.09/9.97    inference(avatar_split_clause,[],[f89169,f89166,f89171])).
% 59.09/9.97  tff(f89171,plain,(
% 59.09/9.97    spl2737_3429 <=> ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,combc(int,int,int,gcd_lcm(int),X1),X0) | ~sP356(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3429])])).
% 59.09/9.97  tff(f89166,plain,(
% 59.09/9.97    spl2737_3428 <=> ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | ~sP356(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3428])])).
% 59.09/9.97  tff(f89169,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,combc(int,int,int,gcd_lcm(int),X1),X0) | ~sP356(X1,X0)) ) | ~spl2737_3428),
% 59.09/9.97    inference(forward_demodulation,[],[f89167,f50171])).
% 59.09/9.97  tff(f89167,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | ~sP356(X1,X0)) ) | ~spl2737_3428),
% 59.09/9.97    inference(avatar_component_clause,[],[f89166])).
% 59.09/9.97  tff(f89168,plain,(
% 59.09/9.97    spl2737_3428),
% 59.09/9.97    inference(avatar_split_clause,[],[f46625,f89166])).
% 59.09/9.97  tff(f46625,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | ~sP356(X1,X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32203])).
% 59.09/9.97  tff(f32203,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : ((one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | ~sP356(X1,X0)) & (sP356(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27625])).
% 59.09/9.97  tff(f27625,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) <=> sP356(X1,X0))),
% 59.09/9.97    inference(definition_folding,[],[f16567,f27624])).
% 59.09/9.97  tff(f27624,plain,(
% 59.09/9.97    ! [X1 : int,X0 : int] : (sP356(X1,X0) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1) & (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0)))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP356])])).
% 59.09/9.97  tff(f16567,plain,(
% 59.09/9.97    ! [X0 : int,X1 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1) & (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0)))),
% 59.09/9.97    inference(rectify,[],[f7602])).
% 59.09/9.97  tff(f7602,axiom,(
% 59.09/9.97    ! [X9 : int,X8 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X9),X8) <=> ((aa(int,int,uminus_uminus(int),one_one(int)) = X8 | one_one(int) = X8) & (aa(int,int,uminus_uminus(int),one_one(int)) = X9 | one_one(int) = X9)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7601_lcm__1__iff__int)).
% 59.09/9.97  tff(f89164,plain,(
% 59.09/9.97    spl2737_3427 | ~spl2737_3426),
% 59.09/9.97    inference(avatar_split_clause,[],[f89160,f89157,f89162])).
% 59.09/9.97  tff(f89162,plain,(
% 59.09/9.97    spl2737_3427 <=> ! [X0 : int,X1 : int] : (one_one(int) != aa(int,int,combc(int,int,int,gcd_lcm(int),X1),X0) | sP356(X1,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3427])])).
% 59.09/9.97  tff(f89157,plain,(
% 59.09/9.97    spl2737_3426 <=> ! [X0 : int,X1 : int] : (sP356(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3426])])).
% 59.09/9.97  tff(f89160,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (one_one(int) != aa(int,int,combc(int,int,int,gcd_lcm(int),X1),X0) | sP356(X1,X0)) ) | ~spl2737_3426),
% 59.09/9.97    inference(forward_demodulation,[],[f89158,f50171])).
% 59.09/9.97  tff(f89158,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (sP356(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1)) ) | ~spl2737_3426),
% 59.09/9.97    inference(avatar_component_clause,[],[f89157])).
% 59.09/9.97  tff(f89159,plain,(
% 59.09/9.97    spl2737_3426),
% 59.09/9.97    inference(avatar_split_clause,[],[f46624,f89157])).
% 59.09/9.97  tff(f46624,plain,(
% 59.09/9.97    ( ! [X0 : int,X1 : int] : (sP356(X1,X0) | one_one(int) != aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32203])).
% 59.09/9.97  tff(f89155,plain,(
% 59.09/9.97    spl2737_3425),
% 59.09/9.97    inference(avatar_split_clause,[],[f46515,f89153])).
% 59.09/9.97  tff(f89153,plain,(
% 59.09/9.97    spl2737_3425 <=> ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | bot_bot(set(X0)) != aa(list(X0),set(X0),set2(X0),X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3425])])).
% 59.09/9.97  tff(f46515,plain,(
% 59.09/9.97    ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | bot_bot(set(X0)) != aa(list(X0),set(X0),set2(X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32131])).
% 59.09/9.97  tff(f32131,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : list(X0)] : ((bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),X1) | nil(X0) != X1) & (nil(X0) = X1 | bot_bot(set(X0)) != aa(list(X0),set(X0),set2(X0),X1)))),
% 59.09/9.97    inference(nnf_transformation,[],[f16519])).
% 59.09/9.97  tff(f16519,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : list(X0)] : (bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),X1) <=> nil(X0) = X1)),
% 59.09/9.97    inference(rectify,[],[f4960])).
% 59.09/9.97  tff(f4960,axiom,(
% 59.09/9.97    ! [X0 : $tType,X123 : list(X0)] : (aa(list(X0),set(X0),set2(X0),X123) = bot_bot(set(X0)) <=> nil(X0) = X123)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4959_set__empty2)).
% 59.09/9.97  tff(f89121,plain,(
% 59.09/9.97    spl2737_3424 | ~spl2737_3423),
% 59.09/9.97    inference(avatar_split_clause,[],[f89117,f89114,f89119])).
% 59.09/9.97  tff(f89119,plain,(
% 59.09/9.97    spl2737_3424 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X1),X0)) | vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3424])])).
% 59.09/9.97  tff(f89114,plain,(
% 59.09/9.97    spl2737_3423 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3423])])).
% 59.09/9.97  tff(f89117,plain,(
% 59.09/9.97    ( ! [X0 : vEBT_VEBT,X1 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X1),X0)) | vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1)) ) | ~spl2737_3423),
% 59.09/9.97    inference(forward_demodulation,[],[f89115,f50171])).
% 59.09/9.97  tff(f89115,plain,(
% 59.09/9.97    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1))) ) | ~spl2737_3423),
% 59.09/9.97    inference(avatar_component_clause,[],[f89114])).
% 59.09/9.97  tff(f89116,plain,(
% 59.09/9.97    spl2737_3423),
% 59.09/9.97    inference(avatar_split_clause,[],[f46502,f89114])).
% 59.09/9.97  tff(f46502,plain,(
% 59.09/9.97    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f32125])).
% 59.09/9.97  tff(f32125,plain,(
% 59.09/9.97    ! [X0 : vEBT_VEBT,X1 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | (~vEBT_VEBT_membermima(X0,X1) & ~vEBT_V5719532721284313246member(X0,X1))) & (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1))))),
% 59.09/9.97    inference(flattening,[],[f32124])).
% 59.09/9.97  tff(f32124,plain,(
% 59.09/9.97    ! [X0 : vEBT_VEBT,X1 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | (~vEBT_VEBT_membermima(X0,X1) & ~vEBT_V5719532721284313246member(X0,X1))) & ((vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1)) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1))))),
% 59.09/9.97    inference(nnf_transformation,[],[f16513])).
% 59.09/9.97  tff(f16513,plain,(
% 59.09/9.97    ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) <=> (vEBT_VEBT_membermima(X0,X1) | vEBT_V5719532721284313246member(X0,X1)))),
% 59.09/9.97    inference(rectify,[],[f270])).
% 59.09/9.97  tff(f270,axiom,(
% 59.09/9.97    ! [X41 : vEBT_VEBT,X14 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X41),X14)) <=> (vEBT_VEBT_membermima(X41,X14) | vEBT_V5719532721284313246member(X41,X14)))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_both__member__options__def)).
% 59.09/9.97  tff(f89105,plain,(
% 59.09/9.97    spl2737_3422 | ~spl2737_3421),
% 59.09/9.97    inference(avatar_split_clause,[],[f89101,f89098,f89103])).
% 59.09/9.97  tff(f89103,plain,(
% 59.09/9.97    spl2737_3422 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK1937(X0)),sK1936(X0))) | sP339(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3422])])).
% 59.09/9.97  tff(f89098,plain,(
% 59.09/9.97    spl2737_3421 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP339(X0,X1,X2) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1936(X0)),sK1937(X0))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3421])])).
% 59.09/9.97  tff(f89101,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK1937(X0)),sK1936(X0))) | sP339(X0,X1,X2)) ) | ~spl2737_3421),
% 59.09/9.97    inference(forward_demodulation,[],[f89099,f50171])).
% 59.09/9.97  tff(f89099,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP339(X0,X1,X2) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1936(X0)),sK1937(X0)))) ) | ~spl2737_3421),
% 59.09/9.97    inference(avatar_component_clause,[],[f89098])).
% 59.09/9.97  tff(f89100,plain,(
% 59.09/9.97    spl2737_3421),
% 59.09/9.97    inference(avatar_split_clause,[],[f46296,f89098])).
% 59.09/9.97  tff(f46296,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP339(X0,X1,X2) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1936(X0)),sK1937(X0)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31975])).
% 59.09/9.97  tff(f31975,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP339(X0,X1,X2) | ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1936(X0)),sK1937(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1936(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) | X1 != X2 | ~sP339(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1936,sK1937])],[f31972,f31974,f31973])).
% 59.09/9.97  tff(f31973,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) => (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1936(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1936(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31974,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1936(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1936(X0)),sK1937(X0))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31972,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP339(X0,X1,X2) | (? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) | X1 != X2 | ~sP339(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f31971])).
% 59.09/9.97  tff(f31971,plain,(
% 59.09/9.97    ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : ((sP339(X14,X18,X17) | (? [X21 : vEBT_VEBT] : (? [X22 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) & X17 = X18)) & (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) | X17 != X18 | ~sP339(X14,X18,X17)))),
% 59.09/9.97    inference(flattening,[],[f31970])).
% 59.09/9.97  tff(f31970,plain,(
% 59.09/9.97    ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : ((sP339(X14,X18,X17) | (? [X21 : vEBT_VEBT] : (? [X22 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) & X17 = X18)) & ((! [X21 : vEBT_VEBT] : (! [X22 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) | X17 != X18) | ~sP339(X14,X18,X17)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27600])).
% 59.09/9.97  tff(f27600,plain,(
% 59.09/9.97    ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : (sP339(X14,X18,X17) <=> (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) | X17 != X18))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP339])])).
% 59.09/9.97  tff(f89089,plain,(
% 59.09/9.97    spl2737_3420 | ~spl2737_3419),
% 59.09/9.97    inference(avatar_split_clause,[],[f89085,f89082,f89087])).
% 59.09/9.97  tff(f89087,plain,(
% 59.09/9.97    spl2737_3420 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK1930(X0)),sK1929(X0))) | sP343(X0,X1,X2))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3420])])).
% 59.09/9.97  tff(f89082,plain,(
% 59.09/9.97    spl2737_3419 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP343(X0,X1,X2) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1929(X0)),sK1930(X0))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3419])])).
% 59.09/9.97  tff(f89085,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK1930(X0)),sK1929(X0))) | sP343(X0,X1,X2)) ) | ~spl2737_3419),
% 59.09/9.97    inference(forward_demodulation,[],[f89083,f50171])).
% 59.09/9.97  tff(f89083,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP343(X0,X1,X2) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1929(X0)),sK1930(X0)))) ) | ~spl2737_3419),
% 59.09/9.97    inference(avatar_component_clause,[],[f89082])).
% 59.09/9.97  tff(f89084,plain,(
% 59.09/9.97    spl2737_3419),
% 59.09/9.97    inference(avatar_split_clause,[],[f46276,f89082])).
% 59.09/9.97  tff(f46276,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP343(X0,X1,X2) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1929(X0)),sK1930(X0)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31953])).
% 59.09/9.97  tff(f31953,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP343(X0,X1,X2) | ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1929(X0)),sK1930(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1929(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) | X1 != X2 | ~sP343(X0,X1,X2)))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1929,sK1930])],[f31950,f31952,f31951])).
% 59.09/9.97  tff(f31951,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) => (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1929(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1929(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31952,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1929(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1929(X0)),sK1930(X0))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31950,plain,(
% 59.09/9.97    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP343(X0,X1,X2) | (? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2)) & (! [X5 : vEBT_VEBT] : (! [X6 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) | X1 != X2 | ~sP343(X0,X1,X2)))),
% 59.09/9.97    inference(rectify,[],[f31949])).
% 59.09/9.97  tff(f31949,plain,(
% 59.09/9.97    ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((sP343(X2,X6,X5) | (? [X9 : vEBT_VEBT] : (? [X10 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X5 = X6)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X5 != X6 | ~sP343(X2,X6,X5)))),
% 59.09/9.97    inference(flattening,[],[f31948])).
% 59.09/9.97  tff(f31948,plain,(
% 59.09/9.97    ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((sP343(X2,X6,X5) | (? [X9 : vEBT_VEBT] : (? [X10 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X5 = X6)) & ((! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X5 != X6) | ~sP343(X2,X6,X5)))),
% 59.09/9.97    inference(nnf_transformation,[],[f27604])).
% 59.09/9.97  tff(f27604,plain,(
% 59.09/9.97    ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : (sP343(X2,X6,X5) <=> (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X5 != X6))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP343])])).
% 59.09/9.97  tff(f89080,plain,(
% 59.09/9.97    spl2737_3418),
% 59.09/9.97    inference(avatar_split_clause,[],[f46035,f89078])).
% 59.09/9.97  tff(f89078,plain,(
% 59.09/9.97    spl2737_3418 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : X1] : (aa(X0,X1,aTP_Lamp_ud(X1,fun(X0,X1),X2),X3) = X2 | ~topolo8386298272705272623_space(X0) | ~topological_t2_space(X1) | ~zero(X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3418])])).
% 59.09/9.97  tff(f46035,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : (aa(X0,X1,aTP_Lamp_ud(X1,fun(X0,X1),X2),X3) = X2 | ~topolo8386298272705272623_space(X0) | ~topological_t2_space(X1) | ~zero(X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f25395])).
% 59.09/9.97  tff(f25395,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_ud(X1,fun(X0,X1),X2),X3) = X2 | ~topolo8386298272705272623_space(X0) | ~topological_t2_space(X1) | ~zero(X1))),
% 59.09/9.97    inference(flattening,[],[f25394])).
% 59.09/9.97  tff(f25394,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_ud(X1,fun(X0,X1),X2),X3) = X2 | (~topolo8386298272705272623_space(X0) | ~topological_t2_space(X1) | ~zero(X1)))),
% 59.09/9.97    inference(ennf_transformation,[],[f16373])).
% 59.09/9.97  tff(f16373,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : ((topolo8386298272705272623_space(X0) & topological_t2_space(X1) & zero(X1)) => ! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_ud(X1,fun(X0,X1),X2),X3) = X2)),
% 59.09/9.97    inference(rectify,[],[f8937])).
% 59.09/9.97  tff(f8937,axiom,(
% 59.09/9.97    ! [X0 : $tType,X5 : $tType] : ((topolo8386298272705272623_space(X0) & topological_t2_space(X5) & zero(X5)) => ! [X94 : X5,X353 : X0] : aa(X0,X5,aTP_Lamp_ud(X5,fun(X0,X5),X94),X353) = X94)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8936_ATP_Olambda__821)).
% 59.09/9.97  tff(f89076,plain,(
% 59.09/9.97    spl2737_3417),
% 59.09/9.97    inference(avatar_split_clause,[],[f44935,f89074])).
% 59.09/9.97  tff(f89074,plain,(
% 59.09/9.97    spl2737_3417 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1549(X0,X1),sK1550(X0,X1),sK1551(X0,X1),sK1552(X0,X1)) = X1 | ~sP277(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3417])])).
% 59.09/9.97  tff(f44935,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1549(X0,X1),sK1550(X0,X1),sK1551(X0,X1),sK1552(X0,X1)) = X1 | ~sP277(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31235])).
% 59.09/9.97  tff(f31235,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1552(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1551(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1550(X0,X1)),sK1551(X0,X1)),sK1552(X0,X1))),sK1549(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1551(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1550(X0,X1)),divide_divide(nat,sK1550(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(sK1552(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1550(X0,X1)),divide_divide(nat,sK1550(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1550(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1551(X0,X1))))) & sK1550(X0,X1) = X0 & vEBT_Node(sK1549(X0,X1),sK1550(X0,X1),sK1551(X0,X1),sK1552(X0,X1)) = X1) | ~sP277(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1549,sK1550,sK1551,sK1552])],[f31233,f31234])).
% 59.09/9.97  tff(f31234,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & X0 = X3 & vEBT_Node(X2,X3,X4,X5) = X1) => (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1552(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1551(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1550(X0,X1)),sK1551(X0,X1)),sK1552(X0,X1))),sK1549(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1551(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1550(X0,X1)),divide_divide(nat,sK1550(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(sK1552(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1550(X0,X1)),divide_divide(nat,sK1550(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1550(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1551(X0,X1))))) & sK1550(X0,X1) = X0 & vEBT_Node(sK1549(X0,X1),sK1550(X0,X1),sK1551(X0,X1),sK1552(X0,X1)) = X1))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31233,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & X0 = X3 & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP277(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f31232])).
% 59.09/9.97  tff(f31232,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) & X1 = X5 & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP277(X1,X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27510])).
% 59.09/9.97  tff(f27510,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) & X1 = X5 & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP277(X1,X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP277])])).
% 59.09/9.97  tff(f89072,plain,(
% 59.09/9.97    spl2737_3416),
% 59.09/9.97    inference(avatar_split_clause,[],[f44925,f89070])).
% 59.09/9.97  tff(f89070,plain,(
% 59.09/9.97    spl2737_3416 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1543(X0,X1),sK1544(X0,X1),sK1545(X0,X1),sK1546(X0,X1)) = X1 | ~sP276(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3416])])).
% 59.09/9.97  tff(f44925,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1543(X0,X1),sK1544(X0,X1),sK1545(X0,X1),sK1546(X0,X1)) = X1 | ~sP276(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31229])).
% 59.09/9.97  tff(f31229,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1546(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1545(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1544(X0,X1)),sK1545(X0,X1)),sK1546(X0,X1))),sK1543(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1545(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1544(X0,X1)),divide_divide(nat,sK1544(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(sK1546(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1544(X0,X1)),divide_divide(nat,sK1544(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1544(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1545(X0,X1))))) & sK1544(X0,X1) = X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK1543(X0,X1),sK1544(X0,X1),sK1545(X0,X1),sK1546(X0,X1))),X0)) & vEBT_Node(sK1543(X0,X1),sK1544(X0,X1),sK1545(X0,X1),sK1546(X0,X1)) = X1) | ~sP276(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1543,sK1544,sK1545,sK1546])],[f31227,f31228])).
% 59.09/9.97  tff(f31228,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & X0 = X3 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X2,X3,X4,X5)),X0)) & vEBT_Node(X2,X3,X4,X5) = X1) => (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1546(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1545(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1544(X0,X1)),sK1545(X0,X1)),sK1546(X0,X1))),sK1543(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1545(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1544(X0,X1)),divide_divide(nat,sK1544(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(sK1546(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1544(X0,X1)),divide_divide(nat,sK1544(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1544(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1545(X0,X1))))) & sK1544(X0,X1) = X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK1543(X0,X1),sK1544(X0,X1),sK1545(X0,X1),sK1546(X0,X1))),X0)) & vEBT_Node(sK1543(X0,X1),sK1544(X0,X1),sK1545(X0,X1),sK1546(X0,X1)) = X1))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31227,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & X0 = X3 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X2,X3,X4,X5)),X0)) & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP276(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f31226])).
% 59.09/9.97  tff(f31226,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) & X1 = X5 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X4,X5,X6,X7)),X1)) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP276(X1,X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27508])).
% 59.09/9.97  tff(f27508,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) & X1 = X5 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X4,X5,X6,X7)),X1)) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP276(X1,X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP276])])).
% 59.09/9.97  tff(f89068,plain,(
% 59.09/9.97    spl2737_3415),
% 59.09/9.97    inference(avatar_split_clause,[],[f44858,f89066])).
% 59.09/9.97  tff(f89066,plain,(
% 59.09/9.97    spl2737_3415 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1490(X0,X1),sK1491(X0,X1),sK1492(X0,X1),sK1493(X0,X1)) = X1 | ~sP265(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3415])])).
% 59.09/9.97  tff(f44858,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1490(X0,X1),sK1491(X0,X1),sK1492(X0,X1),sK1493(X0,X1)) = X1 | ~sP265(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31166])).
% 59.09/9.97  tff(f31166,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1493(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1492(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1491(X0,X1)),sK1492(X0,X1)),sK1493(X0,X1))),sK1490(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1492(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1491(X0,X1)),divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(sK1493(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1491(X0,X1)),divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | (~vEBT_VEBT_valid(sK1494(X0,X1),divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1494(X0,X1)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1492(X0,X1))))) | sK1491(X0,X1) != X0) & vEBT_Node(sK1490(X0,X1),sK1491(X0,X1),sK1492(X0,X1),sK1493(X0,X1)) = X1) | ~sP265(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1490,sK1491,sK1492,sK1493,sK1494])],[f31163,f31165,f31164])).
% 59.09/9.97  tff(f31164,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) | X0 != X3) & vEBT_Node(X2,X3,X4,X5) = X1) => ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1493(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1492(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1491(X0,X1)),sK1492(X0,X1)),sK1493(X0,X1))),sK1490(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1492(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1491(X0,X1)),divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(sK1493(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1491(X0,X1)),divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1492(X0,X1))))) | sK1491(X0,X1) != X0) & vEBT_Node(sK1490(X0,X1),sK1491(X0,X1),sK1492(X0,X1),sK1493(X0,X1)) = X1))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31165,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1492(X0,X1))))) => (~vEBT_VEBT_valid(sK1494(X0,X1),divide_divide(nat,sK1491(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1494(X0,X1)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1492(X0,X1))))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31163,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) | X0 != X3) & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP265(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f31162])).
% 59.09/9.97  tff(f31162,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) | X1 != X5) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP265(X1,X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27492])).
% 59.09/9.97  tff(f27492,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) | X1 != X5) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP265(X1,X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP265])])).
% 59.09/9.97  tff(f89064,plain,(
% 59.09/9.97    spl2737_3414),
% 59.09/9.97    inference(avatar_split_clause,[],[f44851,f89062])).
% 59.09/9.97  tff(f89062,plain,(
% 59.09/9.97    spl2737_3414 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1483(X0,X1),sK1484(X0,X1),sK1485(X0,X1),sK1486(X0,X1)) = X1 | ~sP264(X0,X1))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3414])])).
% 59.09/9.97  tff(f44851,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(sK1483(X0,X1),sK1484(X0,X1),sK1485(X0,X1),sK1486(X0,X1)) = X1 | ~sP264(X0,X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f31159])).
% 59.09/9.97  tff(f31159,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1486(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1485(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1484(X0,X1)),sK1485(X0,X1)),sK1486(X0,X1))),sK1483(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1485(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1484(X0,X1)),divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(sK1486(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1484(X0,X1)),divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | (~vEBT_VEBT_valid(sK1487(X0,X1),divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1487(X0,X1)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1485(X0,X1))))) | sK1484(X0,X1) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK1483(X0,X1),sK1484(X0,X1),sK1485(X0,X1),sK1486(X0,X1))),X0)) & vEBT_Node(sK1483(X0,X1),sK1484(X0,X1),sK1485(X0,X1),sK1486(X0,X1)) = X1) | ~sP264(X0,X1))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1483,sK1484,sK1485,sK1486,sK1487])],[f31156,f31158,f31157])).
% 59.09/9.97  tff(f31157,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) | X0 != X3) & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X2,X3,X4,X5)),X0)) & vEBT_Node(X2,X3,X4,X5) = X1) => ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1486(X0,X1)))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1485(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1484(X0,X1)),sK1485(X0,X1)),sK1486(X0,X1))),sK1483(X0,X1))) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1485(X0,X1)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1484(X0,X1)),divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(sK1486(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1484(X0,X1)),divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1485(X0,X1))))) | sK1484(X0,X1) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK1483(X0,X1),sK1484(X0,X1),sK1485(X0,X1),sK1486(X0,X1))),X0)) & vEBT_Node(sK1483(X0,X1),sK1484(X0,X1),sK1485(X0,X1),sK1486(X0,X1)) = X1))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31158,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1485(X0,X1))))) => (~vEBT_VEBT_valid(sK1487(X0,X1),divide_divide(nat,sK1484(X0,X1),aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1487(X0,X1)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1485(X0,X1))))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f31156,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : option(product_prod(nat,nat)),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X4),X5)),X2)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X5,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) | X0 != X3) & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X2,X3,X4,X5)),X0)) & vEBT_Node(X2,X3,X4,X5) = X1) | ~sP264(X0,X1))),
% 59.09/9.97    inference(rectify,[],[f31155])).
% 59.09/9.97  tff(f31155,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) | X1 != X5) & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X4,X5,X6,X7)),X1)) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP264(X1,X0))),
% 59.09/9.97    inference(nnf_transformation,[],[f27490])).
% 59.09/9.97  tff(f27490,plain,(
% 59.09/9.97    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) | X1 != X5) & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X4,X5,X6,X7)),X1)) & vEBT_Node(X4,X5,X6,X7) = X0) | ~sP264(X1,X0))),
% 59.09/9.97    introduced(predicate_definition_introduction,[new_symbols(naming,[sP264])])).
% 59.09/9.97  tff(f89060,plain,(
% 59.09/9.97    spl2737_3413),
% 59.09/9.97    inference(avatar_split_clause,[],[f44314,f89058])).
% 59.09/9.97  tff(f89058,plain,(
% 59.09/9.97    spl2737_3413 <=> ! [X1 : $tType,X0 : $tType,X4 : X1,X3 : fun(X1,bool),X2 : fun(X1,X0)] : (pp(aa(X1,bool,X3,X4)) | ~pp(aa(X1,bool,X3,sK1345(X0,X1,X2,X3))) | ~wellorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3413])])).
% 59.09/9.97  tff(f44314,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (pp(aa(X1,bool,X3,X4)) | ~pp(aa(X1,bool,X3,sK1345(X0,X1,X2,X3))) | ~wellorder(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f30835])).
% 59.09/9.97  tff(f30835,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (pp(aa(X1,bool,X3,X4)) | (~pp(aa(X1,bool,X3,sK1345(X0,X1,X2,X3))) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,sK1345(X0,X1,X2,X3))))))) | ~wellorder(X0))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1345])],[f23906,f30834])).
% 59.09/9.97  tff(f30834,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,bool)] : (? [X5 : X1] : (~pp(aa(X1,bool,X3,X5)) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,X5))))) => (~pp(aa(X1,bool,X3,sK1345(X0,X1,X2,X3))) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,sK1345(X0,X1,X2,X3)))))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f23906,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (pp(aa(X1,bool,X3,X4)) | ? [X5 : X1] : (~pp(aa(X1,bool,X3,X5)) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,X5)))))) | ~wellorder(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f15381])).
% 59.09/9.97  tff(f15381,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (wellorder(X0) => ! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (! [X5 : X1] : (! [X6 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,X5))) => pp(aa(X1,bool,X3,X6))) => pp(aa(X1,bool,X3,X5))) => pp(aa(X1,bool,X3,X4))))),
% 59.09/9.97    inference(rectify,[],[f63])).
% 59.09/9.97  tff(f63,axiom,(
% 59.09/9.97    ! [X1 : $tType,X0 : $tType] : (wellorder(X1) => ! [X32 : fun(X0,X1),X17 : fun(X0,bool),X7 : X0] : (! [X20 : X0] : (! [X37 : X0] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(X0,X1,X32,X37)),aa(X0,X1,X32,X20))) => pp(aa(X0,bool,X17,X37))) => pp(aa(X0,bool,X17,X20))) => pp(aa(X0,bool,X17,X7))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_measure__induct)).
% 59.09/9.97  tff(f89056,plain,(
% 59.09/9.97    spl2737_3412),
% 59.09/9.97    inference(avatar_split_clause,[],[f44312,f89054])).
% 59.09/9.97  tff(f89054,plain,(
% 59.09/9.97    spl2737_3412 <=> ! [X1 : $tType,X0 : $tType,X4 : X1,X3 : fun(X1,bool),X2 : fun(X1,X0)] : (pp(aa(X1,bool,X3,X4)) | ~pp(aa(X1,bool,X3,sK1344(X0,X1,X2,X3))) | ~wellorder(X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3412])])).
% 59.09/9.97  tff(f44312,plain,(
% 59.09/9.97    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (pp(aa(X1,bool,X3,X4)) | ~pp(aa(X1,bool,X3,sK1344(X0,X1,X2,X3))) | ~wellorder(X0)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f30833])).
% 59.09/9.97  tff(f30833,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (pp(aa(X1,bool,X3,X4)) | (~pp(aa(X1,bool,X3,sK1344(X0,X1,X2,X3))) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,sK1344(X0,X1,X2,X3))))))) | ~wellorder(X0))),
% 59.09/9.97    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1344])],[f23905,f30832])).
% 59.09/9.97  tff(f30832,plain,(
% 59.09/9.97    ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,bool)] : (? [X5 : X1] : (~pp(aa(X1,bool,X3,X5)) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,X5))))) => (~pp(aa(X1,bool,X3,sK1344(X0,X1,X2,X3))) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,sK1344(X0,X1,X2,X3)))))))),
% 59.09/9.97    introduced(choice_axiom,[])).
% 59.09/9.97  tff(f23905,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (pp(aa(X1,bool,X3,X4)) | ? [X5 : X1] : (~pp(aa(X1,bool,X3,X5)) & ! [X6 : X1] : (pp(aa(X1,bool,X3,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,X5)))))) | ~wellorder(X0))),
% 59.09/9.97    inference(ennf_transformation,[],[f15380])).
% 59.09/9.97  tff(f15380,plain,(
% 59.09/9.97    ! [X0 : $tType,X1 : $tType] : (wellorder(X0) => ! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (! [X5 : X1] : (! [X6 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X6)),aa(X1,X0,X2,X5))) => pp(aa(X1,bool,X3,X6))) => pp(aa(X1,bool,X3,X5))) => pp(aa(X1,bool,X3,X4))))),
% 59.09/9.97    inference(rectify,[],[f62])).
% 59.09/9.97  tff(f62,axiom,(
% 59.09/9.97    ! [X1 : $tType,X0 : $tType] : (wellorder(X1) => ! [X32 : fun(X0,X1),X17 : fun(X0,bool),X7 : X0] : (! [X20 : X0] : (! [X37 : X0] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(X0,X1,X32,X37)),aa(X0,X1,X32,X20))) => pp(aa(X0,bool,X17,X37))) => pp(aa(X0,bool,X17,X20))) => pp(aa(X0,bool,X17,X7))))),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_measure__induct__rule)).
% 59.09/9.97  tff(f89052,plain,(
% 59.09/9.97    spl2737_3411),
% 59.09/9.97    inference(avatar_split_clause,[],[f43581,f89050])).
% 59.09/9.97  tff(f89050,plain,(
% 59.09/9.97    spl2737_3411 <=> ! [X0 : nat,X1 : nat] : order_underS(nat,bNF_Ca8665028551170535155natLeq,X0) = aa(nat,set(nat),aTP_Lamp_afj(nat,fun(nat,set(nat)),X0),X1)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3411])])).
% 59.09/9.97  tff(f43581,plain,(
% 59.09/9.97    ( ! [X0 : nat,X1 : nat] : (order_underS(nat,bNF_Ca8665028551170535155natLeq,X0) = aa(nat,set(nat),aTP_Lamp_afj(nat,fun(nat,set(nat)),X0),X1)) )),
% 59.09/9.97    inference(cnf_transformation,[],[f14764])).
% 59.09/9.97  tff(f14764,plain,(
% 59.09/9.97    ! [X0 : nat,X1 : nat] : order_underS(nat,bNF_Ca8665028551170535155natLeq,X0) = aa(nat,set(nat),aTP_Lamp_afj(nat,fun(nat,set(nat)),X0),X1)),
% 59.09/9.97    inference(rectify,[],[f8352])).
% 59.09/9.97  tff(f8352,axiom,(
% 59.09/9.97    ! [X94 : nat,X353 : nat] : aa(nat,set(nat),aTP_Lamp_afj(nat,fun(nat,set(nat)),X94),X353) = order_underS(nat,bNF_Ca8665028551170535155natLeq,X94)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8351_ATP_Olambda__236)).
% 59.09/9.97  tff(f89001,plain,(
% 59.09/9.97    spl2737_3410 | ~spl2737_3409),
% 59.09/9.97    inference(avatar_split_clause,[],[f88997,f88994,f88999])).
% 59.09/9.97  tff(f88999,plain,(
% 59.09/9.97    spl2737_3410 <=> ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),one_one(nat)),X0)) | one_one(nat) = X0)),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3410])])).
% 59.09/9.97  tff(f88994,plain,(
% 59.09/9.97    spl2737_3409 <=> ! [X0 : nat] : (one_one(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),one_one(nat))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3409])])).
% 59.09/9.97  tff(f88997,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),one_one(nat)),X0)) | one_one(nat) = X0) ) | ~spl2737_3409),
% 59.09/9.97    inference(forward_demodulation,[],[f88995,f50171])).
% 59.09/9.97  tff(f88995,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (one_one(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),one_one(nat)))) ) | ~spl2737_3409),
% 59.09/9.97    inference(avatar_component_clause,[],[f88994])).
% 59.09/9.97  tff(f88996,plain,(
% 59.09/9.97    spl2737_3409),
% 59.09/9.97    inference(avatar_split_clause,[],[f43409,f88994])).
% 59.09/9.97  tff(f43409,plain,(
% 59.09/9.97    ( ! [X0 : nat] : (one_one(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),one_one(nat)))) )),
% 59.09/9.97    inference(cnf_transformation,[],[f30673])).
% 59.09/9.97  tff(f30673,plain,(
% 59.09/9.97    ! [X0 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),one_one(nat))) | one_one(nat) != X0) & (one_one(nat) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),one_one(nat)))))),
% 59.09/9.97    inference(nnf_transformation,[],[f14650])).
% 59.09/9.97  tff(f14650,plain,(
% 59.09/9.97    ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),one_one(nat))) <=> one_one(nat) = X0)),
% 59.09/9.97    inference(rectify,[],[f2683])).
% 59.09/9.97  tff(f2683,axiom,(
% 59.09/9.97    ! [X9 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X9),one_one(nat))) <=> one_one(nat) = X9)),
% 59.09/9.97    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2682_nat__dvd__1__iff__1)).
% 59.09/9.97  tff(f88967,plain,(
% 59.09/9.97    spl2737_3408 | ~spl2737_3407),
% 59.09/9.97    inference(avatar_split_clause,[],[f88963,f88960,f88965])).
% 59.09/9.97  tff(f88965,plain,(
% 59.09/9.97    spl2737_3408 <=> ! [X2 : nat,X0 : fun(nat,real)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1262(X0,X2)),X2)) | topolo3814608138187158403Cauchy(real,X0))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3408])])).
% 59.09/9.97  tff(f88960,plain,(
% 59.09/9.97    spl2737_3407 <=> ! [X2 : nat,X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1262(X0,X2))))),
% 59.09/9.97    introduced(avatar_definition,[new_symbols(naming,[spl2737_3407])])).
% 59.09/9.97  tff(f88963,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : fun(nat,real)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1262(X0,X2)),X2)) | topolo3814608138187158403Cauchy(real,X0)) ) | ~spl2737_3407),
% 59.09/9.97    inference(forward_demodulation,[],[f88961,f50171])).
% 59.09/9.97  tff(f88961,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1262(X0,X2)))) ) | ~spl2737_3407),
% 59.09/9.97    inference(avatar_component_clause,[],[f88960])).
% 59.09/9.97  tff(f88962,plain,(
% 59.09/9.97    spl2737_3407),
% 59.09/9.97    inference(avatar_split_clause,[],[f43288,f88960])).
% 59.09/9.97  tff(f43288,plain,(
% 59.09/9.97    ( ! [X2 : nat,X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1262(X0,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30563])).
% 59.09/9.98  tff(f30563,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real)] : ((topolo3814608138187158403Cauchy(real,X0) | ! [X2 : nat] : ((~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,sK1261(X0,X2))),aa(nat,real,X0,sK1262(X0,X2))))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,sK1260(X0)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1262(X0,X2)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1261(X0,X2))))) & (! [X5 : nat] : ! [X7 : nat] : (! [X8 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X7)),aa(nat,real,X0,X8)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X5))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1263(X0,X5)),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1263(X0,X5)),X7))) | ~topolo3814608138187158403Cauchy(real,X0)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1260,sK1261,sK1262,sK1263])],[f30558,f30562,f30561,f30560,f30559])).
% 59.09/9.98  tff(f30559,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real)] : (? [X1 : nat] : ! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X1))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) => ! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,sK1260(X0)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30560,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real),X2 : nat] : (? [X3 : nat] : (? [X4 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,sK1260(X0)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) => (? [X4 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,sK1261(X0,X2))),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,sK1260(X0)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1261(X0,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30561,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real),X2 : nat] : (? [X4 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,sK1261(X0,X2))),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,sK1260(X0)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) => (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,sK1261(X0,X2))),aa(nat,real,X0,sK1262(X0,X2))))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,sK1260(X0)))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1262(X0,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30562,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real),X5 : nat] : (? [X6 : nat] : ! [X7 : nat] : (! [X8 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X7)),aa(nat,real,X0,X8)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X5))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X7))) => ! [X7 : nat] : (! [X8 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X7)),aa(nat,real,X0,X8)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X5))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1263(X0,X5)),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1263(X0,X5)),X7))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30558,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real)] : ((topolo3814608138187158403Cauchy(real,X0) | ? [X1 : nat] : ! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X1))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))) & (! [X5 : nat] : ? [X6 : nat] : ! [X7 : nat] : (! [X8 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X7)),aa(nat,real,X0,X8)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X5))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X7))) | ~topolo3814608138187158403Cauchy(real,X0)))),
% 59.09/9.98    inference(rectify,[],[f30557])).
% 59.09/9.98  tff(f30557,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real)] : ((topolo3814608138187158403Cauchy(real,X0) | ? [X1 : nat] : ! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X1))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))) & (! [X1 : nat] : ? [X2 : nat] : ! [X3 : nat] : (! [X4 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X1))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~topolo3814608138187158403Cauchy(real,X0)))),
% 59.09/9.98    inference(nnf_transformation,[],[f23726])).
% 59.09/9.98  tff(f23726,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) <=> ! [X1 : nat] : ? [X2 : nat] : ! [X3 : nat] : (! [X4 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X1))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))))),
% 59.09/9.98    inference(ennf_transformation,[],[f14599])).
% 59.09/9.98  tff(f14599,plain,(
% 59.09/9.98    ! [X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) <=> ! [X1 : nat] : ? [X2 : nat] : ! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)) => ! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X0,X3)),aa(nat,real,X0,X4)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X1))))))))),
% 59.09/9.98    inference(rectify,[],[f1966])).
% 59.09/9.98  tff(f1966,axiom,(
% 59.09/9.98    ! [X148 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X148) <=> ! [X35 : nat] : ? [X149 : nat] : ! [X36 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X149),X36)) => ! [X62 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X149),X62)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,abs_abs(real),aa(real,real,aa(real,fun(real,real),minus_minus(real),aa(nat,real,X148,X36)),aa(nat,real,X148,X62)))),aa(real,real,inverse_inverse(real),aa(nat,real,semiring_1_of_nat(real),aa(nat,nat,suc,X35))))))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1965_Cauchy__iff2)).
% 59.09/9.98  tff(f88933,plain,(
% 59.09/9.98    spl2737_3406 | ~spl2737_3405),
% 59.09/9.98    inference(avatar_split_clause,[],[f88929,f88926,f88931])).
% 59.09/9.98  tff(f88931,plain,(
% 59.09/9.98    spl2737_3406 <=> ! [X2 : nat,X0 : fun(nat,real)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1261(X0,X2)),X2)) | topolo3814608138187158403Cauchy(real,X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3406])])).
% 59.09/9.98  tff(f88926,plain,(
% 59.09/9.98    spl2737_3405 <=> ! [X2 : nat,X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1261(X0,X2))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3405])])).
% 59.09/9.98  tff(f88929,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,real)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1261(X0,X2)),X2)) | topolo3814608138187158403Cauchy(real,X0)) ) | ~spl2737_3405),
% 59.09/9.98    inference(forward_demodulation,[],[f88927,f50171])).
% 59.09/9.98  tff(f88927,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1261(X0,X2)))) ) | ~spl2737_3405),
% 59.09/9.98    inference(avatar_component_clause,[],[f88926])).
% 59.09/9.98  tff(f88928,plain,(
% 59.09/9.98    spl2737_3405),
% 59.09/9.98    inference(avatar_split_clause,[],[f43287,f88926])).
% 59.09/9.98  tff(f43287,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,real)] : (topolo3814608138187158403Cauchy(real,X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1261(X0,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30563])).
% 59.09/9.98  tff(f88899,plain,(
% 59.09/9.98    spl2737_3404 | ~spl2737_3403),
% 59.09/9.98    inference(avatar_split_clause,[],[f88895,f88892,f88897])).
% 59.09/9.98  tff(f88897,plain,(
% 59.09/9.98    spl2737_3404 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1258(X0,X2)),X2)) | pp(vanishes(X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3404])])).
% 59.09/9.98  tff(f88892,plain,(
% 59.09/9.98    spl2737_3403 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1258(X0,X2))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3403])])).
% 59.09/9.98  tff(f88895,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1258(X0,X2)),X2)) | pp(vanishes(X0))) ) | ~spl2737_3403),
% 59.09/9.98    inference(forward_demodulation,[],[f88893,f50171])).
% 59.09/9.98  tff(f88893,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1258(X0,X2)))) ) | ~spl2737_3403),
% 59.09/9.98    inference(avatar_component_clause,[],[f88892])).
% 59.09/9.98  tff(f88894,plain,(
% 59.09/9.98    spl2737_3403),
% 59.09/9.98    inference(avatar_split_clause,[],[f43284,f88892])).
% 59.09/9.98  tff(f43284,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1258(X0,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30556])).
% 59.09/9.98  tff(f30556,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : ((pp(vanishes(X0)) | (! [X2 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,sK1258(X0,X2)))),sK1257(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1258(X0,X2)))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1257(X0))))) & (! [X4 : rat] : (! [X6 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X6))),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1259(X0,X4)),X6))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X4))) | ~pp(vanishes(X0))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1257,sK1258,sK1259])],[f30552,f30555,f30554,f30553])).
% 59.09/9.98  tff(f30553,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) => (! [X2 : nat] : ? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),sK1257(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1257(X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30554,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat),X2 : nat] : (? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),sK1257(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) => (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,sK1258(X0,X2)))),sK1257(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1258(X0,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30555,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat),X4 : rat] : (? [X5 : nat] : ! [X6 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X6))),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6))) => ! [X6 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X6))),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1259(X0,X4)),X6))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30552,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : ((pp(vanishes(X0)) | ? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)))) & (! [X4 : rat] : (? [X5 : nat] : ! [X6 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X6))),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X4))) | ~pp(vanishes(X0))))),
% 59.09/9.98    inference(rectify,[],[f30551])).
% 59.09/9.98  tff(f30551,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : ((pp(vanishes(X0)) | ? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)))) & (! [X1 : rat] : (? [X2 : nat] : ! [X3 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) | ~pp(vanishes(X0))))),
% 59.09/9.98    inference(nnf_transformation,[],[f23725])).
% 59.09/9.98  tff(f23725,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) <=> ! [X1 : rat] : (? [X2 : nat] : ! [X3 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))))),
% 59.09/9.98    inference(ennf_transformation,[],[f14598])).
% 59.09/9.98  tff(f14598,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) <=> ! [X1 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)) => ? [X2 : nat] : ! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)))))),
% 59.09/9.98    inference(rectify,[],[f5191])).
% 59.09/9.98  tff(f5191,axiom,(
% 59.09/9.98    ! [X148 : fun(nat,rat)] : (pp(vanishes(X148)) <=> ! [X205 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X205)) => ? [X56 : nat] : ! [X62 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X56),X62)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X148,X62))),X205)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5190_vanishes__def)).
% 59.09/9.98  tff(f88881,plain,(
% 59.09/9.98    spl2737_3402 | ~spl2737_3401),
% 59.09/9.98    inference(avatar_split_clause,[],[f88877,f88874,f88879])).
% 59.09/9.98  tff(f88879,plain,(
% 59.09/9.98    spl2737_3402 <=> ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1257(X0)),zero_zero(rat))) | pp(vanishes(X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3402])])).
% 59.09/9.98  tff(f88874,plain,(
% 59.09/9.98    spl2737_3401 <=> ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1257(X0))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3401])])).
% 59.09/9.98  tff(f88877,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1257(X0)),zero_zero(rat))) | pp(vanishes(X0))) ) | ~spl2737_3401),
% 59.09/9.98    inference(forward_demodulation,[],[f88875,f50171])).
% 59.09/9.98  tff(f88875,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1257(X0)))) ) | ~spl2737_3401),
% 59.09/9.98    inference(avatar_component_clause,[],[f88874])).
% 59.09/9.98  tff(f88876,plain,(
% 59.09/9.98    spl2737_3401),
% 59.09/9.98    inference(avatar_split_clause,[],[f43283,f88874])).
% 59.09/9.98  tff(f43283,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1257(X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30556])).
% 59.09/9.98  tff(f88872,plain,(
% 59.09/9.98    spl2737_3400),
% 59.09/9.98    inference(avatar_split_clause,[],[f43271,f88870])).
% 59.09/9.98  tff(f88870,plain,(
% 59.09/9.98    spl2737_3400 <=> ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1244(X0),sK1245(X0)) = X0 | vEBT_Node(sK1246(X0),sK1247(X0),sK1248(X0),sK1249(X0)) = X0)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3400])])).
% 59.09/9.98  tff(f43271,plain,(
% 59.09/9.98    ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1244(X0),sK1245(X0)) = X0 | vEBT_Node(sK1246(X0),sK1247(X0),sK1248(X0),sK1249(X0)) = X0) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30535])).
% 59.09/9.98  tff(f30535,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1244(X0),sK1245(X0)) = X0 | vEBT_Node(sK1246(X0),sK1247(X0),sK1248(X0),sK1249(X0)) = X0)),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1244,sK1245,sK1246,sK1247,sK1248,sK1249])],[f30532,f30534,f30533])).
% 59.09/9.98  tff(f30533,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT] : (? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0 => vEBT_Leaf(sK1244(X0),sK1245(X0)) = X0)),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30534,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(X3,X4,X5,X6) = X0 => vEBT_Node(sK1246(X0),sK1247(X0),sK1248(X0),sK1249(X0)) = X0)),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30532,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT] : (? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0 | ? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(X3,X4,X5,X6) = X0)),
% 59.09/9.98    inference(rectify,[],[f23721])).
% 59.09/9.98  tff(f23721,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT] : (? [X5 : bool,X6 : bool] : vEBT_Leaf(X5,X6) = X0 | ? [X1 : option(product_prod(nat,nat)),X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X1,X2,X3,X4) = X0)),
% 59.09/9.98    inference(ennf_transformation,[],[f14595])).
% 59.09/9.98  tff(f14595,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT] : (! [X1 : option(product_prod(nat,nat)),X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(X1,X2,X3,X4) != X0 => ~! [X5 : bool,X6 : bool] : vEBT_Leaf(X5,X6) != X0)),
% 59.09/9.98    inference(rectify,[],[f357])).
% 59.09/9.98  tff(f357,axiom,(
% 59.09/9.98    ! [X15 : vEBT_VEBT] : (! [X88 : option(product_prod(nat,nat)),X89 : nat,X90 : list(vEBT_VEBT),X91 : vEBT_VEBT] : vEBT_Node(X88,X89,X90,X91) != X15 => ~! [X92 : bool,X93 : bool] : vEBT_Leaf(X92,X93) != X15)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_356_VEBT_Oexhaust)).
% 59.09/9.98  tff(f88843,plain,(
% 59.09/9.98    spl2737_3399 | ~spl2737_3398),
% 59.09/9.98    inference(avatar_split_clause,[],[f88839,f88836,f88841])).
% 59.09/9.98  tff(f88841,plain,(
% 59.09/9.98    spl2737_3399 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1160(X0,X2)),X2)) | pp(vanishes(X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3399])])).
% 59.09/9.98  tff(f88836,plain,(
% 59.09/9.98    spl2737_3398 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1160(X0,X2))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3398])])).
% 59.09/9.98  tff(f88839,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1160(X0,X2)),X2)) | pp(vanishes(X0))) ) | ~spl2737_3398),
% 59.09/9.98    inference(forward_demodulation,[],[f88837,f50171])).
% 59.09/9.98  tff(f88837,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1160(X0,X2)))) ) | ~spl2737_3398),
% 59.09/9.98    inference(avatar_component_clause,[],[f88836])).
% 59.09/9.98  tff(f88838,plain,(
% 59.09/9.98    spl2737_3398),
% 59.09/9.98    inference(avatar_split_clause,[],[f43251,f88836])).
% 59.09/9.98  tff(f43251,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1160(X0,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30492])).
% 59.09/9.98  tff(f30492,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | (! [X2 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,sK1160(X0,X2)))),sK1159(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1160(X0,X2)))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1159(X0)))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1159,sK1160])],[f23705,f30491,f30490])).
% 59.09/9.98  tff(f30490,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) => (! [X2 : nat] : ? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),sK1159(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1159(X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30491,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat),X2 : nat] : (? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),sK1159(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) => (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,sK1160(X0,X2)))),sK1159(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1160(X0,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f23705,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | ? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))))),
% 59.09/9.98    inference(ennf_transformation,[],[f14585])).
% 59.09/9.98  tff(f14585,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (! [X1 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)) => ? [X2 : nat] : ! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X3))),X1)))) => pp(vanishes(X0)))),
% 59.09/9.98    inference(rectify,[],[f5192])).
% 59.09/9.98  tff(f5192,axiom,(
% 59.09/9.98    ! [X148 : fun(nat,rat)] : (! [X144 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X144)) => ? [X129 : nat] : ! [X19 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X129),X19)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X148,X19))),X144)))) => pp(vanishes(X148)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5191_vanishesI)).
% 59.09/9.98  tff(f88825,plain,(
% 59.09/9.98    spl2737_3397 | ~spl2737_3396),
% 59.09/9.98    inference(avatar_split_clause,[],[f88821,f88818,f88823])).
% 59.09/9.98  tff(f88823,plain,(
% 59.09/9.98    spl2737_3397 <=> ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1159(X0)),zero_zero(rat))) | pp(vanishes(X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3397])])).
% 59.09/9.98  tff(f88818,plain,(
% 59.09/9.98    spl2737_3396 <=> ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1159(X0))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3396])])).
% 59.09/9.98  tff(f88821,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1159(X0)),zero_zero(rat))) | pp(vanishes(X0))) ) | ~spl2737_3396),
% 59.09/9.98    inference(forward_demodulation,[],[f88819,f50171])).
% 59.09/9.98  tff(f88819,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1159(X0)))) ) | ~spl2737_3396),
% 59.09/9.98    inference(avatar_component_clause,[],[f88818])).
% 59.09/9.98  tff(f88820,plain,(
% 59.09/9.98    spl2737_3396),
% 59.09/9.98    inference(avatar_split_clause,[],[f43250,f88818])).
% 59.09/9.98  tff(f43250,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,rat)] : (pp(vanishes(X0)) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1159(X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30492])).
% 59.09/9.98  tff(f88816,plain,(
% 59.09/9.98    spl2737_3395),
% 59.09/9.98    inference(avatar_split_clause,[],[f43238,f88814])).
% 59.09/9.98  tff(f88814,plain,(
% 59.09/9.98    spl2737_3395 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,at_top(X0)) | ~pp(aa(X0,bool,X1,sK1146(X0,X1,X2))) | ~no_top(X0) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3395])])).
% 59.09/9.98  tff(f43238,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,at_top(X0)) | ~pp(aa(X0,bool,X1,sK1146(X0,X1,X2))) | ~no_top(X0) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30468])).
% 59.09/9.98  tff(f30468,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((eventually(X0,X1,at_top(X0)) | ! [X2 : X0] : (~pp(aa(X0,bool,X1,sK1146(X0,X1,X2))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),sK1146(X0,X1,X2))))) & (! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK1147(X0,X1)),X5))) | ~eventually(X0,X1,at_top(X0)))) | ~no_top(X0) | ~linorder(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1146,sK1147])],[f30465,f30467,f30466])).
% 59.09/9.98  tff(f30466,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))) => (~pp(aa(X0,bool,X1,sK1146(X0,X1,X2))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),sK1146(X0,X1,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30467,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X4 : X0] : ! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5))) => ! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK1147(X0,X1)),X5))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30465,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((eventually(X0,X1,at_top(X0)) | ! [X2 : X0] : ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)))) & (? [X4 : X0] : ! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5))) | ~eventually(X0,X1,at_top(X0)))) | ~no_top(X0) | ~linorder(X0))),
% 59.09/9.98    inference(rectify,[],[f30464])).
% 59.09/9.98  tff(f30464,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((eventually(X0,X1,at_top(X0)) | ! [X2 : X0] : ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)))) & (? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))) | ~eventually(X0,X1,at_top(X0)))) | ~no_top(X0) | ~linorder(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f23697])).
% 59.09/9.98  tff(f23697,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : (eventually(X0,X1,at_top(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)))) | ~no_top(X0) | ~linorder(X0))),
% 59.09/9.98    inference(flattening,[],[f23696])).
% 59.09/9.98  tff(f23696,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : (eventually(X0,X1,at_top(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)))) | (~no_top(X0) | ~linorder(X0)))),
% 59.09/9.98    inference(ennf_transformation,[],[f14578])).
% 59.09/9.98  tff(f14578,plain,(
% 59.09/9.98    ! [X0 : $tType] : ((no_top(X0) & linorder(X0)) => ! [X1 : fun(X0,bool)] : (eventually(X0,X1,at_top(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) => pp(aa(X0,bool,X1,X3)))))),
% 59.09/9.98    inference(rectify,[],[f5993])).
% 59.09/9.98  tff(f5993,axiom,(
% 59.09/9.98    ! [X0 : $tType] : ((no_top(X0) & linorder(X0)) => ! [X17 : fun(X0,bool)] : (eventually(X0,X17,at_top(X0)) <=> ? [X159 : X0] : ! [X62 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X159),X62)) => pp(aa(X0,bool,X17,X62)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5992_eventually__at__top__dense)).
% 59.09/9.98  tff(f88812,plain,(
% 59.09/9.98    spl2737_3394),
% 59.09/9.98    inference(avatar_split_clause,[],[f43234,f88810])).
% 59.09/9.98  tff(f88810,plain,(
% 59.09/9.98    spl2737_3394 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,at_bot(X0)) | ~pp(aa(X0,bool,X1,sK1144(X0,X1,X2))) | ~no_bot(X0) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3394])])).
% 59.09/9.98  tff(f43234,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,at_bot(X0)) | ~pp(aa(X0,bool,X1,sK1144(X0,X1,X2))) | ~no_bot(X0) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30463])).
% 59.09/9.98  tff(f30463,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((eventually(X0,X1,at_bot(X0)) | ! [X2 : X0] : (~pp(aa(X0,bool,X1,sK1144(X0,X1,X2))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK1144(X0,X1,X2)),X2)))) & (! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X5),sK1145(X0,X1)))) | ~eventually(X0,X1,at_bot(X0)))) | ~no_bot(X0) | ~linorder(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1144,sK1145])],[f30460,f30462,f30461])).
% 59.09/9.98  tff(f30461,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))) => (~pp(aa(X0,bool,X1,sK1144(X0,X1,X2))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK1144(X0,X1,X2)),X2))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30462,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X4 : X0] : ! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X5),X4))) => ! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X5),sK1145(X0,X1)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30460,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((eventually(X0,X1,at_bot(X0)) | ! [X2 : X0] : ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)))) & (? [X4 : X0] : ! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X5),X4))) | ~eventually(X0,X1,at_bot(X0)))) | ~no_bot(X0) | ~linorder(X0))),
% 59.09/9.98    inference(rectify,[],[f30459])).
% 59.09/9.98  tff(f30459,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((eventually(X0,X1,at_bot(X0)) | ! [X2 : X0] : ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)))) & (? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))) | ~eventually(X0,X1,at_bot(X0)))) | ~no_bot(X0) | ~linorder(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f23693])).
% 59.09/9.98  tff(f23693,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : (eventually(X0,X1,at_bot(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)))) | ~no_bot(X0) | ~linorder(X0))),
% 59.09/9.98    inference(flattening,[],[f23692])).
% 59.09/9.98  tff(f23692,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : (eventually(X0,X1,at_bot(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)))) | (~no_bot(X0) | ~linorder(X0)))),
% 59.09/9.98    inference(ennf_transformation,[],[f14576])).
% 59.09/9.98  tff(f14576,plain,(
% 59.09/9.98    ! [X0 : $tType] : ((no_bot(X0) & linorder(X0)) => ! [X1 : fun(X0,bool)] : (eventually(X0,X1,at_bot(X0)) <=> ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) => pp(aa(X0,bool,X1,X3)))))),
% 59.09/9.98    inference(rectify,[],[f6103])).
% 59.09/9.98  tff(f6103,axiom,(
% 59.09/9.98    ! [X0 : $tType] : ((no_bot(X0) & linorder(X0)) => ! [X17 : fun(X0,bool)] : (eventually(X0,X17,at_bot(X0)) <=> ? [X159 : X0] : ! [X62 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),X159)) => pp(aa(X0,bool,X17,X62)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6102_eventually__at__bot__dense)).
% 59.09/9.98  tff(f88808,plain,(
% 59.09/9.98    spl2737_3393),
% 59.09/9.98    inference(avatar_split_clause,[],[f42828,f88806])).
% 59.09/9.98  tff(f88806,plain,(
% 59.09/9.98    spl2737_3393 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_gw(X0,fun(nat,X0),X1),aa(X0,X0,cos(X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3393])])).
% 59.09/9.98  tff(f42828,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_gw(X0,fun(nat,X0),X1),aa(X0,X0,cos(X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f23065])).
% 59.09/9.98  tff(f23065,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_gw(X0,fun(nat,X0),X1),aa(X0,X0,cos(X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.09/9.98    inference(flattening,[],[f23064])).
% 59.09/9.98  tff(f23064,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_gw(X0,fun(nat,X0),X1),aa(X0,X0,cos(X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.09/9.98    inference(ennf_transformation,[],[f14273])).
% 59.09/9.98  tff(f14273,plain,(
% 59.09/9.98    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_gw(X0,fun(nat,X0),X1),aa(X0,X0,cos(X0),X1)))),
% 59.09/9.98    inference(rectify,[],[f4005])).
% 59.09/9.98  tff(f4005,axiom,(
% 59.09/9.98    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : sums(X0,aTP_Lamp_gw(X0,fun(nat,X0),X14),aa(X0,X0,cos(X0),X14)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4004_cos__minus__converges)).
% 59.09/9.98  tff(f88804,plain,(
% 59.09/9.98    spl2737_3392),
% 59.09/9.98    inference(avatar_split_clause,[],[f42767,f88802])).
% 59.09/9.98  tff(f88802,plain,(
% 59.09/9.98    spl2737_3392 <=> ! [X1 : $tType,X0 : fun(X1,bool),X3 : X1,X2 : X1] : (filterlim(nat,X1,sK1086(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP234(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3392])])).
% 59.09/9.98  tff(f42767,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,bool)] : (filterlim(nat,X1,sK1086(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP234(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30307])).
% 59.09/9.98  tff(f30307,plain,(
% 59.09/9.98    ! [X0 : fun(X1,bool),X1 : $tType,X2 : X1,X3 : X1] : ((~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),sK1086(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK1086(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,sK1086(X1,X0,X2,X3)) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,sK1086(X1,X0,X2,X3),X5)),X2)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),aa(nat,X1,sK1086(X1,X0,X2,X3),X6)))) | ~sP234(X1,X0,X2,X3))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1086])],[f30305,f30306])).
% 59.09/9.98  tff(f30306,plain,(
% 59.09/9.98    ! [X1 : $tType,X0 : fun(X1,bool),X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,X4) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X4,X5)),X2)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),aa(nat,X1,X4,X6)))) => (~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),sK1086(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK1086(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,sK1086(X1,X0,X2,X3)) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,sK1086(X1,X0,X2,X3),X5)),X2)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),aa(nat,X1,sK1086(X1,X0,X2,X3),X6)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30305,plain,(
% 59.09/9.98    ! [X0 : fun(X1,bool),X1 : $tType,X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_mono(nat,X1,X4) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X4,X5)),X2)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),aa(nat,X1,X4,X6)))) | ~sP234(X1,X0,X2,X3))),
% 59.09/9.98    inference(rectify,[],[f30304])).
% 59.09/9.98  tff(f30304,plain,(
% 59.09/9.98    ! [X3 : fun(X0,bool),X0 : $tType,X2 : X0,X1 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,bool),aTP_Lamp_wy(fun(X0,bool),fun(fun(nat,X0),fun(nat,bool)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) & order_mono(nat,X0,X4) & ! [X6 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP234(X0,X3,X2,X1))),
% 59.09/9.98    inference(nnf_transformation,[],[f27438])).
% 59.09/9.98  tff(f27438,plain,(
% 59.09/9.98    ! [X3 : fun(X0,bool),X0 : $tType,X2 : X0,X1 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,bool),aTP_Lamp_wy(fun(X0,bool),fun(fun(nat,X0),fun(nat,bool)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) & order_mono(nat,X0,X4) & ! [X6 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP234(X0,X3,X2,X1))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP234])])).
% 59.09/9.98  tff(f88800,plain,(
% 59.09/9.98    spl2737_3391),
% 59.09/9.98    inference(avatar_split_clause,[],[f42761,f88798])).
% 59.09/9.98  tff(f88798,plain,(
% 59.09/9.98    spl2737_3391 <=> ! [X1 : $tType,X0 : fun(X1,bool),X3 : X1,X2 : X1] : (filterlim(nat,X1,sK1085(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP233(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3391])])).
% 59.09/9.98  tff(f42761,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,bool)] : (filterlim(nat,X1,sK1085(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) | ~sP233(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30303])).
% 59.09/9.98  tff(f30303,plain,(
% 59.09/9.98    ! [X0 : fun(X1,bool),X1 : $tType,X2 : X1,X3 : X1] : ((~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),sK1085(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK1085(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,sK1085(X1,X0,X2,X3)) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,sK1085(X1,X0,X2,X3),X5)),X3)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,sK1085(X1,X0,X2,X3),X6)))) | ~sP233(X1,X0,X2,X3))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1085])],[f30301,f30302])).
% 59.09/9.98  tff(f30302,plain,(
% 59.09/9.98    ! [X1 : $tType,X0 : fun(X1,bool),X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X4) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X4,X5)),X3)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,X4,X6)))) => (~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),sK1085(X1,X0,X2,X3)),at_top(nat)) & filterlim(nat,X1,sK1085(X1,X0,X2,X3),topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,sK1085(X1,X0,X2,X3)) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,sK1085(X1,X0,X2,X3),X5)),X3)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,sK1085(X1,X0,X2,X3),X6)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30301,plain,(
% 59.09/9.98    ! [X0 : fun(X1,bool),X1 : $tType,X2 : X1,X3 : X1] : (? [X4 : fun(nat,X1)] : (~eventually(nat,aa(fun(nat,X1),fun(nat,bool),aTP_Lamp_wy(fun(X1,bool),fun(fun(nat,X1),fun(nat,bool)),X0),X4),at_top(nat)) & filterlim(nat,X1,X4,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X4) & ! [X5 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X4,X5)),X3)) & ! [X6 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,X4,X6)))) | ~sP233(X1,X0,X2,X3))),
% 59.09/9.98    inference(rectify,[],[f30300])).
% 59.09/9.98  tff(f30300,plain,(
% 59.09/9.98    ! [X3 : fun(X0,bool),X0 : $tType,X1 : X0,X2 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,bool),aTP_Lamp_wy(fun(X0,bool),fun(fun(nat,X0),fun(nat,bool)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X1),at_top(nat)) & order_antimono(nat,X0,X4) & ! [X6 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP233(X0,X3,X1,X2))),
% 59.09/9.98    inference(nnf_transformation,[],[f27436])).
% 59.09/9.98  tff(f27436,plain,(
% 59.09/9.98    ! [X3 : fun(X0,bool),X0 : $tType,X1 : X0,X2 : X0] : (? [X4 : fun(nat,X0)] : (~eventually(nat,aa(fun(nat,X0),fun(nat,bool),aTP_Lamp_wy(fun(X0,bool),fun(fun(nat,X0),fun(nat,bool)),X3),X4),at_top(nat)) & filterlim(nat,X0,X4,topolo7230453075368039082e_nhds(X0,X1),at_top(nat)) & order_antimono(nat,X0,X4) & ! [X6 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(nat,X0,X4,X6)),X2)) & ! [X5 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(nat,X0,X4,X5)))) | ~sP233(X0,X3,X1,X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP233])])).
% 59.09/9.98  tff(f88795,plain,(
% 59.09/9.98    spl2737_3390),
% 59.09/9.98    inference(avatar_split_clause,[],[f41908,f88793])).
% 59.09/9.98  tff(f41908,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (set_ord_lessThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atLeast(X0,X1)) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f22327])).
% 59.09/9.98  tff(f22327,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : set_ord_lessThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atLeast(X0,X1)) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13745])).
% 59.09/9.98  tff(f13745,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : set_ord_lessThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atLeast(X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f6947])).
% 59.09/9.98  tff(f6947,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X18 : X0] : set_ord_lessThan(X0,X18) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atLeast(X0,X18)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6946_Compl__atLeast)).
% 59.09/9.98  tff(f88790,plain,(
% 59.09/9.98    spl2737_3389),
% 59.09/9.98    inference(avatar_split_clause,[],[f41907,f88788])).
% 59.09/9.98  tff(f41907,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (set_ord_atMost(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_greaterThan(X0,X1)) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f22326])).
% 59.09/9.98  tff(f22326,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : set_ord_atMost(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_greaterThan(X0,X1)) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13744])).
% 59.09/9.98  tff(f13744,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : set_ord_atMost(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_greaterThan(X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f6072])).
% 59.09/9.98  tff(f6072,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X18 : X0] : set_ord_atMost(X0,X18) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_greaterThan(X0,X18)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6071_Compl__greaterThan)).
% 59.09/9.98  tff(f88785,plain,(
% 59.09/9.98    spl2737_3388),
% 59.09/9.98    inference(avatar_split_clause,[],[f41906,f88783])).
% 59.09/9.98  tff(f41906,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (set_ord_greaterThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atMost(X0,X1)) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f22325])).
% 59.09/9.98  tff(f22325,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : set_ord_greaterThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atMost(X0,X1)) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13743])).
% 59.09/9.98  tff(f13743,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : set_ord_greaterThan(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atMost(X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f6071])).
% 59.09/9.98  tff(f6071,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X18 : X0] : set_ord_greaterThan(X0,X18) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_atMost(X0,X18)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6070_Compl__atMost)).
% 59.09/9.98  tff(f88780,plain,(
% 59.09/9.98    spl2737_3387),
% 59.09/9.98    inference(avatar_split_clause,[],[f41905,f88778])).
% 59.09/9.98  tff(f41905,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (set_ord_atLeast(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_lessThan(X0,X1)) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f22324])).
% 59.09/9.98  tff(f22324,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : set_ord_atLeast(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_lessThan(X0,X1)) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13742])).
% 59.09/9.98  tff(f13742,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : set_ord_atLeast(X0,X1) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_lessThan(X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f6948])).
% 59.09/9.98  tff(f6948,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X18 : X0] : set_ord_atLeast(X0,X18) = aa(set(X0),set(X0),uminus_uminus(set(X0)),set_ord_lessThan(X0,X18)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6947_Compl__lessThan)).
% 59.09/9.98  tff(f88776,plain,(
% 59.09/9.98    spl2737_3386),
% 59.09/9.98    inference(avatar_split_clause,[],[f41638,f88774])).
% 59.09/9.98  tff(f88774,plain,(
% 59.09/9.98    spl2737_3386 <=> ! [X0 : $tType,X1 : set(X0)] : (image(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3386])])).
% 59.09/9.98  tff(f41638,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : set(X0)] : (image(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f22079])).
% 59.09/9.98  tff(f22079,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : set(X0)] : image(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13525])).
% 59.09/9.98  tff(f13525,plain,(
% 59.09/9.98    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X1 : set(X0)] : image(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1)),
% 59.09/9.98    inference(rectify,[],[f4839])).
% 59.09/9.98  tff(f4839,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X119 : set(X0)] : image(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X119) = X119)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4838_image__add__0)).
% 59.09/9.98  tff(f88772,plain,(
% 59.09/9.98    spl2737_3385),
% 59.09/9.98    inference(avatar_split_clause,[],[f41480,f88770])).
% 59.09/9.98  tff(f88770,plain,(
% 59.09/9.98    spl2737_3385 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (X1 = X2 | aa(nat,X0,semiring_1_of_nat(X0),X2) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3385])])).
% 59.09/9.98  tff(f41480,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : nat,X1 : nat] : (X1 = X2 | aa(nat,X0,semiring_1_of_nat(X0),X2) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29733])).
% 59.09/9.98  tff(f29733,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : ((aa(nat,X0,semiring_1_of_nat(X0),X2) = aa(nat,X0,semiring_1_of_nat(X0),X1) | X1 != X2) & (X1 = X2 | aa(nat,X0,semiring_1_of_nat(X0),X2) != aa(nat,X0,semiring_1_of_nat(X0),X1))) | ~semiring_char_0(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21937])).
% 59.09/9.98  tff(f21937,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X2) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> X1 = X2) | ~semiring_char_0(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13405])).
% 59.09/9.98  tff(f13405,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat,X2 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X2) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> X1 = X2))),
% 59.09/9.98    inference(rectify,[],[f95])).
% 59.09/9.98  tff(f95,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X9 : nat,X8 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X8) = aa(nat,X0,semiring_1_of_nat(X0),X9) <=> X8 = X9))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_of__nat__eq__iff)).
% 59.09/9.98  tff(f88768,plain,(
% 59.09/9.98    spl2737_3384),
% 59.09/9.98    inference(avatar_split_clause,[],[f41478,f88766])).
% 59.09/9.98  tff(f88766,plain,(
% 59.09/9.98    spl2737_3384 <=> ! [X0 : $tType,X2 : num,X1 : num] : (X1 = X2 | aa(num,X0,numeral_numeral(X0),X2) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3384])])).
% 59.09/9.98  tff(f41478,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : num,X1 : num] : (X1 = X2 | aa(num,X0,numeral_numeral(X0),X2) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29732])).
% 59.09/9.98  tff(f29732,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : num,X2 : num] : ((aa(num,X0,numeral_numeral(X0),X2) = aa(num,X0,numeral_numeral(X0),X1) | X1 != X2) & (X1 = X2 | aa(num,X0,numeral_numeral(X0),X2) != aa(num,X0,numeral_numeral(X0),X1))) | ~semiring_char_0(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21936])).
% 59.09/9.98  tff(f21936,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : num,X2 : num] : (aa(num,X0,numeral_numeral(X0),X2) = aa(num,X0,numeral_numeral(X0),X1) <=> X1 = X2) | ~semiring_char_0(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13404])).
% 59.09/9.98  tff(f13404,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : num,X2 : num] : (aa(num,X0,numeral_numeral(X0),X2) = aa(num,X0,numeral_numeral(X0),X1) <=> X1 = X2))),
% 59.09/9.98    inference(rectify,[],[f2013])).
% 59.09/9.98  tff(f2013,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X9 : num,X8 : num] : (aa(num,X0,numeral_numeral(X0),X9) = aa(num,X0,numeral_numeral(X0),X8) <=> X8 = X9))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2012_numeral__eq__iff)).
% 59.09/9.98  tff(f88764,plain,(
% 59.09/9.98    spl2737_3383),
% 59.09/9.98    inference(avatar_split_clause,[],[f41476,f88762])).
% 59.09/9.98  tff(f88762,plain,(
% 59.09/9.98    spl2737_3383 <=> ! [X0 : $tType,X2 : set(X0),X1 : set(nat)] : (image(nat,X0,semiring_1_of_nat(X0),X1) = X2 | ~bij_betw(nat,X0,semiring_1_of_nat(X0),X1,X2) | ~semiring_char_0(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3383])])).
% 59.09/9.98  tff(f41476,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : set(X0),X1 : set(nat)] : (image(nat,X0,semiring_1_of_nat(X0),X1) = X2 | ~bij_betw(nat,X0,semiring_1_of_nat(X0),X1,X2) | ~semiring_char_0(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29731])).
% 59.09/9.98  tff(f29731,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : set(nat),X2 : set(X0)] : ((bij_betw(nat,X0,semiring_1_of_nat(X0),X1,X2) | image(nat,X0,semiring_1_of_nat(X0),X1) != X2) & (image(nat,X0,semiring_1_of_nat(X0),X1) = X2 | ~bij_betw(nat,X0,semiring_1_of_nat(X0),X1,X2))) | ~semiring_char_0(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21935])).
% 59.09/9.98  tff(f21935,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : set(nat),X2 : set(X0)] : (bij_betw(nat,X0,semiring_1_of_nat(X0),X1,X2) <=> image(nat,X0,semiring_1_of_nat(X0),X1) = X2) | ~semiring_char_0(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13403])).
% 59.09/9.98  tff(f13403,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : set(nat),X2 : set(X0)] : (bij_betw(nat,X0,semiring_1_of_nat(X0),X1,X2) <=> image(nat,X0,semiring_1_of_nat(X0),X1) = X2))),
% 59.09/9.98    inference(rectify,[],[f4857])).
% 59.09/9.98  tff(f4857,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X143 : set(nat),X30 : set(X0)] : (bij_betw(nat,X0,semiring_1_of_nat(X0),X143,X30) <=> image(nat,X0,semiring_1_of_nat(X0),X143) = X30))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4856_bij__betw__of__nat)).
% 59.09/9.98  tff(f88760,plain,(
% 59.09/9.98    spl2737_3382),
% 59.09/9.98    inference(avatar_split_clause,[],[f41404,f88758])).
% 59.09/9.98  tff(f88758,plain,(
% 59.09/9.98    spl2737_3382 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1) | ~monoid_mult(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3382])])).
% 59.09/9.98  tff(f41404,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1) | ~monoid_mult(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21873])).
% 59.09/9.98  tff(f21873,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1) | ~monoid_mult(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13347])).
% 59.09/9.98  tff(f13347,plain,(
% 59.09/9.98    ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : nat] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f1428])).
% 59.09/9.98  tff(f1428,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (monoid_mult(X0) => ! [X8 : nat] : one_one(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),one_one(X0)),X8))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1427_power__one)).
% 59.09/9.98  tff(f88756,plain,(
% 59.09/9.98    spl2737_3381),
% 59.09/9.98    inference(avatar_split_clause,[],[f41376,f88754])).
% 59.09/9.98  tff(f88754,plain,(
% 59.09/9.98    spl2737_3381 <=> ! [X0 : fun(nat,rat)] : (cauchy(aa(fun(nat,rat),fun(nat,rat),aTP_Lamp_mu(fun(nat,rat),fun(nat,rat)),X0)) | ~cauchy(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3381])])).
% 59.09/9.98  tff(f41376,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,rat)] : (cauchy(aa(fun(nat,rat),fun(nat,rat),aTP_Lamp_mu(fun(nat,rat),fun(nat,rat)),X0)) | ~cauchy(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21852])).
% 59.09/9.98  tff(f21852,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (cauchy(aa(fun(nat,rat),fun(nat,rat),aTP_Lamp_mu(fun(nat,rat),fun(nat,rat)),X0)) | ~cauchy(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13333])).
% 59.09/9.98  tff(f13333,plain,(
% 59.09/9.98    ! [X0 : fun(nat,rat)] : (cauchy(X0) => cauchy(aa(fun(nat,rat),fun(nat,rat),aTP_Lamp_mu(fun(nat,rat),fun(nat,rat)),X0)))),
% 59.09/9.98    inference(rectify,[],[f6400])).
% 59.09/9.98  tff(f6400,axiom,(
% 59.09/9.98    ! [X148 : fun(nat,rat)] : (cauchy(X148) => cauchy(aa(fun(nat,rat),fun(nat,rat),aTP_Lamp_mu(fun(nat,rat),fun(nat,rat)),X148)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6399_cauchy__minus)).
% 59.09/9.98  tff(f88752,plain,(
% 59.09/9.98    spl2737_3380),
% 59.09/9.98    inference(avatar_split_clause,[],[f41354,f88750])).
% 59.09/9.98  tff(f88750,plain,(
% 59.09/9.98    spl2737_3380 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | ~pp(aa(X0,bool,X1,one_one(X0))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3380])])).
% 59.09/9.98  tff(f41354,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | ~pp(aa(X0,bool,X1,one_one(X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29696])).
% 59.09/9.98  tff(f29696,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : ((sP198(X0,X1,X2) | (~pp(aa(X0,bool,X1,zero_zero(X0))) & ~pp(X2)) | (~pp(aa(X0,bool,X1,one_one(X0))) & pp(X2))) & (((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2))) | ~sP198(X0,X1,X2)))),
% 59.09/9.98    inference(flattening,[],[f29695])).
% 59.09/9.98  tff(f29695,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : ((sP198(X0,X1,X2) | ((~pp(aa(X0,bool,X1,zero_zero(X0))) & ~pp(X2)) | (~pp(aa(X0,bool,X1,one_one(X0))) & pp(X2)))) & (((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2))) | ~sP198(X0,X1,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27386])).
% 59.09/9.98  tff(f27386,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : (sP198(X0,X1,X2) <=> ((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP198])])).
% 59.09/9.98  tff(f88748,plain,(
% 59.09/9.98    spl2737_3379),
% 59.09/9.98    inference(avatar_split_clause,[],[f41345,f88746])).
% 59.09/9.98  tff(f88746,plain,(
% 59.09/9.98    spl2737_3379 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | ~pp(aa(X0,bool,X1,one_one(X0))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3379])])).
% 59.09/9.98  tff(f41345,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | ~pp(aa(X0,bool,X1,one_one(X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29693])).
% 59.09/9.98  tff(f29693,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : ((sP196(X0,X1,X2) | (~pp(aa(X0,bool,X1,zero_zero(X0))) & ~pp(X2)) | (~pp(aa(X0,bool,X1,one_one(X0))) & pp(X2))) & (((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2))) | ~sP196(X0,X1,X2)))),
% 59.09/9.98    inference(flattening,[],[f29692])).
% 59.09/9.98  tff(f29692,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : ((sP196(X0,X1,X2) | ((~pp(aa(X0,bool,X1,zero_zero(X0))) & ~pp(X2)) | (~pp(aa(X0,bool,X1,one_one(X0))) & pp(X2)))) & (((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2))) | ~sP196(X0,X1,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27383])).
% 59.09/9.98  tff(f27383,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : bool] : (sP196(X0,X1,X2) <=> ((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP196])])).
% 59.09/9.98  tff(f88735,plain,(
% 59.09/9.98    spl2737_3378 | ~spl2737_3377),
% 59.09/9.98    inference(avatar_split_clause,[],[f88731,f88728,f88733])).
% 59.09/9.98  tff(f88733,plain,(
% 59.09/9.98    spl2737_3378 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3378])])).
% 59.09/9.98  tff(f88728,plain,(
% 59.09/9.98    spl2737_3377 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3377])])).
% 59.09/9.98  tff(f88731,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0)) ) | ~spl2737_3377),
% 59.09/9.98    inference(forward_demodulation,[],[f88729,f50171])).
% 59.09/9.98  tff(f88729,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0)) ) | ~spl2737_3377),
% 59.09/9.98    inference(avatar_component_clause,[],[f88728])).
% 59.09/9.98  tff(f88730,plain,(
% 59.09/9.98    spl2737_3377),
% 59.09/9.98    inference(avatar_split_clause,[],[f41303,f88728])).
% 59.09/9.98  tff(f41303,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21804])).
% 59.09/9.98  tff(f21804,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13292])).
% 59.09/9.98  tff(f13292,plain,(
% 59.09/9.98    ! [X0 : $tType] : (mult_zero(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f936])).
% 59.09/9.98  tff(f936,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (mult_zero(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_935_mult__zero__left)).
% 59.09/9.98  tff(f88717,plain,(
% 59.09/9.98    spl2737_3376 | ~spl2737_3375),
% 59.09/9.98    inference(avatar_split_clause,[],[f88713,f88710,f88715])).
% 59.09/9.98  tff(f88710,plain,(
% 59.09/9.98    spl2737_3375 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3375])])).
% 59.09/9.98  tff(f88713,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,times_times(X0),zero_zero(X0)),X1) | ~mult_zero(X0)) ) | ~spl2737_3375),
% 59.09/9.98    inference(forward_demodulation,[],[f88711,f50171])).
% 59.09/9.98  tff(f88711,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0)) ) | ~spl2737_3375),
% 59.09/9.98    inference(avatar_component_clause,[],[f88710])).
% 59.09/9.98  tff(f88712,plain,(
% 59.09/9.98    spl2737_3375),
% 59.09/9.98    inference(avatar_split_clause,[],[f41302,f88710])).
% 59.09/9.98  tff(f41302,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21803])).
% 59.09/9.98  tff(f21803,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)) | ~mult_zero(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13291])).
% 59.09/9.98  tff(f13291,plain,(
% 59.09/9.98    ! [X0 : $tType] : (mult_zero(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),zero_zero(X0)))),
% 59.09/9.98    inference(rectify,[],[f935])).
% 59.09/9.98  tff(f935,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (mult_zero(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),zero_zero(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_934_mult__zero__right)).
% 59.09/9.98  tff(f88708,plain,(
% 59.09/9.98    spl2737_3374),
% 59.09/9.98    inference(avatar_split_clause,[],[f41195,f88706])).
% 59.09/9.98  tff(f88706,plain,(
% 59.09/9.98    spl2737_3374 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) = X1 | ~semidom_divide(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3374])])).
% 59.09/9.98  tff(f41195,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) = X1 | ~semidom_divide(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21702])).
% 59.09/9.98  tff(f21702,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) | zero_zero(X0) = X1) | ~semidom_divide(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13225])).
% 59.09/9.98  tff(f13225,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0,X2 : set(X0)] : (zero_zero(X0) != X1 => inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)))),
% 59.09/9.98    inference(rectify,[],[f6160])).
% 59.09/9.98  tff(f6160,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semidom_divide(X0) => ! [X7 : X0,X30 : set(X0)] : (zero_zero(X0) != X7 => inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X30)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6159_inj__on__mult)).
% 59.09/9.98  tff(f88685,plain,(
% 59.09/9.98    spl2737_3373 | ~spl2737_3372),
% 59.09/9.98    inference(avatar_split_clause,[],[f88681,f88678,f88683])).
% 59.09/9.98  tff(f88683,plain,(
% 59.09/9.98    spl2737_3373 <=> ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3373])])).
% 59.09/9.98  tff(f88678,plain,(
% 59.09/9.98    spl2737_3372 <=> ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3372])])).
% 59.09/9.98  tff(f88681,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0)) ) | ~spl2737_3372),
% 59.09/9.98    inference(forward_demodulation,[],[f88679,f50171])).
% 59.09/9.98  tff(f88679,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0)) ) | ~spl2737_3372),
% 59.09/9.98    inference(avatar_component_clause,[],[f88678])).
% 59.09/9.98  tff(f88680,plain,(
% 59.09/9.98    spl2737_3372),
% 59.09/9.98    inference(avatar_split_clause,[],[f40984,f88678])).
% 59.09/9.98  tff(f40984,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21499])).
% 59.09/9.98  tff(f21499,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13071])).
% 59.09/9.98  tff(f13071,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X1 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))))),
% 59.09/9.98    inference(rectify,[],[f1695])).
% 59.09/9.98  tff(f1695,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X8 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X8))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1694_fact__gt__zero)).
% 59.09/9.98  tff(f88660,plain,(
% 59.09/9.98    spl2737_3371 | ~spl2737_3370),
% 59.09/9.98    inference(avatar_split_clause,[],[f88656,f88653,f88658])).
% 59.09/9.98  tff(f88658,plain,(
% 59.09/9.98    spl2737_3371 <=> ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3371])])).
% 59.09/9.98  tff(f88653,plain,(
% 59.09/9.98    spl2737_3370 <=> ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3370])])).
% 59.09/9.98  tff(f88656,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0)) ) | ~spl2737_3370),
% 59.09/9.98    inference(forward_demodulation,[],[f88654,f50171])).
% 59.09/9.98  tff(f88654,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0)) ) | ~spl2737_3370),
% 59.09/9.98    inference(avatar_component_clause,[],[f88653])).
% 59.09/9.98  tff(f88655,plain,(
% 59.09/9.98    spl2737_3370),
% 59.09/9.98    inference(avatar_split_clause,[],[f40983,f88653])).
% 59.09/9.98  tff(f40983,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21498])).
% 59.09/9.98  tff(f21498,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13070])).
% 59.09/9.98  tff(f13070,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X1 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))))),
% 59.09/9.98    inference(rectify,[],[f1693])).
% 59.09/9.98  tff(f1693,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X8 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),semiring_char_0_fact(X0,X8))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1692_fact__ge__zero)).
% 59.09/9.98  tff(f88635,plain,(
% 59.09/9.98    spl2737_3369 | ~spl2737_3368),
% 59.09/9.98    inference(avatar_split_clause,[],[f88631,f88628,f88633])).
% 59.09/9.98  tff(f88633,plain,(
% 59.09/9.98    spl2737_3369 <=> ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),semiring_char_0_fact(X0,X1)),one_one(X0))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3369])])).
% 59.09/9.98  tff(f88628,plain,(
% 59.09/9.98    spl2737_3368 <=> ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3368])])).
% 59.09/9.98  tff(f88631,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),semiring_char_0_fact(X0,X1)),one_one(X0))) | ~linordered_semidom(X0)) ) | ~spl2737_3368),
% 59.09/9.98    inference(forward_demodulation,[],[f88629,f50171])).
% 59.09/9.98  tff(f88629,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0)) ) | ~spl2737_3368),
% 59.09/9.98    inference(avatar_component_clause,[],[f88628])).
% 59.09/9.98  tff(f88630,plain,(
% 59.09/9.98    spl2737_3368),
% 59.09/9.98    inference(avatar_split_clause,[],[f40982,f88628])).
% 59.09/9.98  tff(f40982,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21497])).
% 59.09/9.98  tff(f21497,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13069])).
% 59.09/9.98  tff(f13069,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X1 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),semiring_char_0_fact(X0,X1))))),
% 59.09/9.98    inference(rectify,[],[f1698])).
% 59.09/9.98  tff(f1698,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X8 : nat] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),semiring_char_0_fact(X0,X8))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1697_fact__ge__1)).
% 59.09/9.98  tff(f88613,plain,(
% 59.09/9.98    spl2737_3367 | ~spl2737_3366),
% 59.09/9.98    inference(avatar_split_clause,[],[f88609,f88606,f88611])).
% 59.09/9.98  tff(f88611,plain,(
% 59.09/9.98    spl2737_3367 <=> ! [X0 : $tType,X1 : nat] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3367])])).
% 59.09/9.98  tff(f88606,plain,(
% 59.09/9.98    spl2737_3366 <=> ! [X0 : $tType,X1 : nat] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3366])])).
% 59.09/9.98  tff(f88609,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),semiring_char_0_fact(X0,X1))) | ~linordered_semidom(X0)) ) | ~spl2737_3366),
% 59.09/9.98    inference(forward_demodulation,[],[f88607,f50171])).
% 59.09/9.98  tff(f88607,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0)) ) | ~spl2737_3366),
% 59.09/9.98    inference(avatar_component_clause,[],[f88606])).
% 59.09/9.98  tff(f88608,plain,(
% 59.09/9.98    spl2737_3366),
% 59.09/9.98    inference(avatar_split_clause,[],[f40981,f88606])).
% 59.09/9.98  tff(f40981,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : nat] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21496])).
% 59.09/9.98  tff(f21496,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))) | ~linordered_semidom(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13068])).
% 59.09/9.98  tff(f13068,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X1 : nat] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),semiring_char_0_fact(X0,X1)),zero_zero(X0))))),
% 59.09/9.98    inference(rectify,[],[f1694])).
% 59.09/9.98  tff(f1694,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X8 : nat] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),semiring_char_0_fact(X0,X8)),zero_zero(X0))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1693_fact__not__neg)).
% 59.09/9.98  tff(f88604,plain,(
% 59.09/9.98    spl2737_3365),
% 59.09/9.98    inference(avatar_split_clause,[],[f40921,f88602])).
% 59.09/9.98  tff(f88602,plain,(
% 59.09/9.98    spl2737_3365 <=> ! [X0 : $tType] : (semila1105856199041335345_order(X0,sup_sup(X0),bot_bot(X0),aTP_Lamp_aab(X0,fun(X0,bool)),aTP_Lamp_aac(X0,fun(X0,bool))) | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3365])])).
% 59.09/9.98  tff(f40921,plain,(
% 59.09/9.98    ( ! [X0 : $tType] : (semila1105856199041335345_order(X0,sup_sup(X0),bot_bot(X0),aTP_Lamp_aab(X0,fun(X0,bool)),aTP_Lamp_aac(X0,fun(X0,bool))) | ~bounde4967611905675639751up_bot(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21425])).
% 59.09/9.98  tff(f21425,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semila1105856199041335345_order(X0,sup_sup(X0),bot_bot(X0),aTP_Lamp_aab(X0,fun(X0,bool)),aTP_Lamp_aac(X0,fun(X0,bool))) | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f6353])).
% 59.09/9.98  tff(f6353,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => semila1105856199041335345_order(X0,sup_sup(X0),bot_bot(X0),aTP_Lamp_aab(X0,fun(X0,bool)),aTP_Lamp_aac(X0,fun(X0,bool))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6352_sup__bot_Osemilattice__neutr__order__axioms)).
% 59.09/9.98  tff(f88594,plain,(
% 59.09/9.98    spl2737_3364 | ~spl2737_3363),
% 59.09/9.98    inference(avatar_split_clause,[],[f88590,f88587,f88592])).
% 59.09/9.98  tff(f88592,plain,(
% 59.09/9.98    spl2737_3364 <=> ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),X1),top_top(X0)) | ~bounded_lattice_top(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3364])])).
% 59.09/9.98  tff(f88587,plain,(
% 59.09/9.98    spl2737_3363 <=> ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),top_top(X0)),X1) | ~bounded_lattice_top(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3363])])).
% 59.09/9.98  tff(f88590,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),X1),top_top(X0)) | ~bounded_lattice_top(X0)) ) | ~spl2737_3363),
% 59.09/9.98    inference(forward_demodulation,[],[f88588,f50171])).
% 59.09/9.98  tff(f88588,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),top_top(X0)),X1) | ~bounded_lattice_top(X0)) ) | ~spl2737_3363),
% 59.09/9.98    inference(avatar_component_clause,[],[f88587])).
% 59.09/9.98  tff(f88589,plain,(
% 59.09/9.98    spl2737_3363),
% 59.09/9.98    inference(avatar_split_clause,[],[f40829,f88587])).
% 59.09/9.98  tff(f40829,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),top_top(X0)),X1) | ~bounded_lattice_top(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21342])).
% 59.09/9.98  tff(f21342,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),top_top(X0)),X1) | ~bounded_lattice_top(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12962])).
% 59.09/9.98  tff(f12962,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_top(X0) => ! [X1 : X0] : top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),top_top(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f6231])).
% 59.09/9.98  tff(f6231,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_top(X0) => ! [X14 : X0] : top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),top_top(X0)),X14))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6230_sup__top__left)).
% 59.09/9.98  tff(f88579,plain,(
% 59.09/9.98    spl2737_3362 | ~spl2737_3361),
% 59.09/9.98    inference(avatar_split_clause,[],[f88575,f88572,f88577])).
% 59.09/9.98  tff(f88577,plain,(
% 59.09/9.98    spl2737_3362 <=> ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),top_top(X0)),X1) | ~bounded_lattice_top(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3362])])).
% 59.09/9.98  tff(f88572,plain,(
% 59.09/9.98    spl2737_3361 <=> ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),top_top(X0)) | ~bounded_lattice_top(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3361])])).
% 59.09/9.98  tff(f88575,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),top_top(X0)),X1) | ~bounded_lattice_top(X0)) ) | ~spl2737_3361),
% 59.09/9.98    inference(forward_demodulation,[],[f88573,f50171])).
% 59.09/9.98  tff(f88573,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),top_top(X0)) | ~bounded_lattice_top(X0)) ) | ~spl2737_3361),
% 59.09/9.98    inference(avatar_component_clause,[],[f88572])).
% 59.09/9.98  tff(f88574,plain,(
% 59.09/9.98    spl2737_3361),
% 59.09/9.98    inference(avatar_split_clause,[],[f40828,f88572])).
% 59.09/9.98  tff(f40828,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),top_top(X0)) | ~bounded_lattice_top(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21341])).
% 59.09/9.98  tff(f21341,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),top_top(X0)) | ~bounded_lattice_top(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12961])).
% 59.09/9.98  tff(f12961,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_top(X0) => ! [X1 : X0] : top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),top_top(X0)))),
% 59.09/9.98    inference(rectify,[],[f6230])).
% 59.09/9.98  tff(f6230,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_top(X0) => ! [X14 : X0] : top_top(X0) = aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X14),top_top(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6229_sup__top__right)).
% 59.09/9.98  tff(f88564,plain,(
% 59.09/9.98    spl2737_3360 | ~spl2737_3359),
% 59.09/9.98    inference(avatar_split_clause,[],[f88560,f88557,f88562])).
% 59.09/9.98  tff(f88562,plain,(
% 59.09/9.98    spl2737_3360 <=> ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),X1),bot_bot(X0)) | ~bounded_lattice_bot(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3360])])).
% 59.09/9.98  tff(f88557,plain,(
% 59.09/9.98    spl2737_3359 <=> ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),bot_bot(X0)),X1) | ~bounded_lattice_bot(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3359])])).
% 59.09/9.98  tff(f88560,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),X1),bot_bot(X0)) | ~bounded_lattice_bot(X0)) ) | ~spl2737_3359),
% 59.09/9.98    inference(forward_demodulation,[],[f88558,f50171])).
% 59.09/9.98  tff(f88558,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),bot_bot(X0)),X1) | ~bounded_lattice_bot(X0)) ) | ~spl2737_3359),
% 59.09/9.98    inference(avatar_component_clause,[],[f88557])).
% 59.09/9.98  tff(f88559,plain,(
% 59.09/9.98    spl2737_3359),
% 59.09/9.98    inference(avatar_split_clause,[],[f40827,f88557])).
% 59.09/9.98  tff(f40827,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),bot_bot(X0)),X1) | ~bounded_lattice_bot(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21340])).
% 59.09/9.98  tff(f21340,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),bot_bot(X0)),X1) | ~bounded_lattice_bot(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12960])).
% 59.09/9.98  tff(f12960,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_bot(X0) => ! [X1 : X0] : bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),bot_bot(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f4836])).
% 59.09/9.98  tff(f4836,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_bot(X0) => ! [X14 : X0] : bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),bot_bot(X0)),X14))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4835_inf__bot__left)).
% 59.09/9.98  tff(f88549,plain,(
% 59.09/9.98    spl2737_3358 | ~spl2737_3357),
% 59.09/9.98    inference(avatar_split_clause,[],[f88545,f88542,f88547])).
% 59.09/9.98  tff(f88547,plain,(
% 59.09/9.98    spl2737_3358 <=> ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),bot_bot(X0)),X1) | ~bounded_lattice_bot(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3358])])).
% 59.09/9.98  tff(f88542,plain,(
% 59.09/9.98    spl2737_3357 <=> ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),bot_bot(X0)) | ~bounded_lattice_bot(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3357])])).
% 59.09/9.98  tff(f88545,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),bot_bot(X0)),X1) | ~bounded_lattice_bot(X0)) ) | ~spl2737_3357),
% 59.09/9.98    inference(forward_demodulation,[],[f88543,f50171])).
% 59.09/9.98  tff(f88543,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),bot_bot(X0)) | ~bounded_lattice_bot(X0)) ) | ~spl2737_3357),
% 59.09/9.98    inference(avatar_component_clause,[],[f88542])).
% 59.09/9.98  tff(f88544,plain,(
% 59.09/9.98    spl2737_3357),
% 59.09/9.98    inference(avatar_split_clause,[],[f40826,f88542])).
% 59.09/9.98  tff(f40826,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),bot_bot(X0)) | ~bounded_lattice_bot(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21339])).
% 59.09/9.98  tff(f21339,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),bot_bot(X0)) | ~bounded_lattice_bot(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12959])).
% 59.09/9.98  tff(f12959,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_bot(X0) => ! [X1 : X0] : bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),bot_bot(X0)))),
% 59.09/9.98    inference(rectify,[],[f4837])).
% 59.09/9.98  tff(f4837,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bounded_lattice_bot(X0) => ! [X14 : X0] : bot_bot(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X14),bot_bot(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4836_inf__bot__right)).
% 59.09/9.98  tff(f88535,plain,(
% 59.09/9.98    spl2737_3356 | ~spl2737_3355),
% 59.09/9.98    inference(avatar_split_clause,[],[f88531,f88528,f88533])).
% 59.09/9.98  tff(f88533,plain,(
% 59.09/9.98    spl2737_3356 <=> ! [X0 : $tType,X1 : X0] : (neg_numeral_dbl(X0,X1) = aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),X1) | ~neg_numeral(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3356])])).
% 59.09/9.98  tff(f88528,plain,(
% 59.09/9.98    spl2737_3355 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1) | ~neg_numeral(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3355])])).
% 59.09/9.98  tff(f88531,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (neg_numeral_dbl(X0,X1) = aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),X1) | ~neg_numeral(X0)) ) | ~spl2737_3355),
% 59.09/9.98    inference(forward_demodulation,[],[f88529,f50171])).
% 59.09/9.98  tff(f88529,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1) | ~neg_numeral(X0)) ) | ~spl2737_3355),
% 59.09/9.98    inference(avatar_component_clause,[],[f88528])).
% 59.09/9.98  tff(f88530,plain,(
% 59.09/9.98    spl2737_3355),
% 59.09/9.98    inference(avatar_split_clause,[],[f40648,f88528])).
% 59.09/9.98  tff(f40648,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1) | ~neg_numeral(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21191])).
% 59.09/9.98  tff(f21191,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1) | ~neg_numeral(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12833])).
% 59.09/9.98  tff(f12833,plain,(
% 59.09/9.98    ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X1) = neg_numeral_dbl(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f2576])).
% 59.09/9.98  tff(f2576,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (neg_numeral(X0) => ! [X14 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X14),X14) = neg_numeral_dbl(X0,X14))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2575_dbl__def)).
% 59.09/9.98  tff(f88526,plain,(
% 59.09/9.98    spl2737_3354),
% 59.09/9.98    inference(avatar_split_clause,[],[f40646,f88524])).
% 59.09/9.98  tff(f88524,plain,(
% 59.09/9.98    spl2737_3354 <=> ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3354])])).
% 59.09/9.98  tff(f40646,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : num] : (aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f21189])).
% 59.09/9.98  tff(f21189,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : num] : aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12831])).
% 59.09/9.98  tff(f12831,plain,(
% 59.09/9.98    ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : num] : aa(num,X0,numeral_numeral(X0),bitM(X1)) = neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 59.09/9.98    inference(rectify,[],[f3369])).
% 59.09/9.98  tff(f3369,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (neg_numeral(X0) => ! [X18 : num] : neg_numeral_dbl_dec(X0,aa(num,X0,numeral_numeral(X0),X18)) = aa(num,X0,numeral_numeral(X0),bitM(X18)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3368_dbl__dec__simps_I5_J)).
% 59.09/9.98  tff(f88522,plain,(
% 59.09/9.98    spl2737_3353),
% 59.09/9.98    inference(avatar_split_clause,[],[f40571,f88520])).
% 59.09/9.98  tff(f88520,plain,(
% 59.09/9.98    spl2737_3353 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3353])])).
% 59.09/9.98  tff(f40571,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29511])).
% 59.09/9.98  tff(f29511,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) | X1 != X2) & (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1))) | ~group_add(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21121])).
% 59.09/9.98  tff(f21121,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) <=> X1 = X2) | ~group_add(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12784])).
% 59.09/9.98  tff(f12784,plain,(
% 59.09/9.98    ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) <=> X1 = X2))),
% 59.09/9.98    inference(rectify,[],[f292])).
% 59.09/9.98  tff(f292,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (group_add(X0) => ! [X7 : X0,X49 : X0] : (aa(X0,X0,uminus_uminus(X0),X7) = aa(X0,X0,uminus_uminus(X0),X49) <=> X7 = X49))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_neg__equal__iff__equal)).
% 59.09/9.98  tff(f88518,plain,(
% 59.09/9.98    spl2737_3352),
% 59.09/9.98    inference(avatar_split_clause,[],[f40443,f88516])).
% 59.09/9.98  tff(f88516,plain,(
% 59.09/9.98    spl2737_3352 <=> ! [X0 : $tType,X2 : int,X1 : int] : (X1 = X2 | aa(int,X0,ring_1_of_int(X0),X2) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3352])])).
% 59.09/9.98  tff(f40443,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : int,X1 : int] : (X1 = X2 | aa(int,X0,ring_1_of_int(X0),X2) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29463])).
% 59.09/9.98  tff(f29463,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : int,X2 : int] : ((aa(int,X0,ring_1_of_int(X0),X2) = aa(int,X0,ring_1_of_int(X0),X1) | X1 != X2) & (X1 = X2 | aa(int,X0,ring_1_of_int(X0),X2) != aa(int,X0,ring_1_of_int(X0),X1))) | ~ring_char_0(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21028])).
% 59.09/9.98  tff(f21028,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : int,X2 : int] : (aa(int,X0,ring_1_of_int(X0),X2) = aa(int,X0,ring_1_of_int(X0),X1) <=> X1 = X2) | ~ring_char_0(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12696])).
% 59.09/9.98  tff(f12696,plain,(
% 59.09/9.98    ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : int,X2 : int] : (aa(int,X0,ring_1_of_int(X0),X2) = aa(int,X0,ring_1_of_int(X0),X1) <=> X1 = X2))),
% 59.09/9.98    inference(rectify,[],[f295])).
% 59.09/9.98  tff(f295,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (ring_char_0(X0) => ! [X61 : int,X60 : int] : (aa(int,X0,ring_1_of_int(X0),X60) = aa(int,X0,ring_1_of_int(X0),X61) <=> X60 = X61))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_of__int__eq__iff)).
% 59.09/9.98  tff(f88514,plain,(
% 59.09/9.98    spl2737_3351),
% 59.09/9.98    inference(avatar_split_clause,[],[f39925,f88512])).
% 59.09/9.98  tff(f88512,plain,(
% 59.09/9.98    spl2737_3351 <=> ! [X0 : $tType,X2 : nat,X1 : nat] : (pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2)) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3351])])).
% 59.09/9.98  tff(f39925,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : nat,X1 : nat] : (pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2)) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)) | ~bit_se359711467146920520ations(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29242])).
% 59.09/9.98  tff(f29242,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) | ~pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2))) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2))) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)))) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    inference(flattening,[],[f29241])).
% 59.09/9.98  tff(f29241,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) | ~pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2)))) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2))) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)))) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f20749])).
% 59.09/9.98  tff(f20749,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)) <=> (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2)))) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12461])).
% 59.09/9.98  tff(f12461,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X1)),X2)) <=> (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(bit_se6407376104438227557le_bit(X0,type2(X0),X2)))))),
% 59.09/9.98    inference(rectify,[],[f6871])).
% 59.09/9.98  tff(f6871,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X9 : nat,X8 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,bit_se2239418461657761734s_mask(X0,X9)),X8)) <=> (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X9)) & pp(bit_se6407376104438227557le_bit(X0,type2(X0),X8)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6870_bit__mask__iff)).
% 59.09/9.98  tff(f88510,plain,(
% 59.09/9.98    spl2737_3350),
% 59.09/9.98    inference(avatar_split_clause,[],[f39918,f88508])).
% 59.09/9.98  tff(f88508,plain,(
% 59.09/9.98    spl2737_3350 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (bit_se2584673776208193580ke_bit(X0,X1,X2) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3350])])).
% 59.09/9.98  tff(f39918,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (bit_se2584673776208193580ke_bit(X0,X1,X2) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) | ~bit_se359711467146920520ations(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29237])).
% 59.09/9.98  tff(f29237,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : ((bit_se2584673776208193580ke_bit(X0,X1,X2) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2)) & (zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) | bit_se2584673776208193580ke_bit(X0,X1,X2) != X2)) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f20745])).
% 59.09/9.98  tff(f20745,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : (bit_se2584673776208193580ke_bit(X0,X1,X2) = X2 <=> zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2)) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12457])).
% 59.09/9.98  tff(f12457,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : X0] : (bit_se2584673776208193580ke_bit(X0,X1,X2) = X2 <=> zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2)))),
% 59.09/9.98    inference(rectify,[],[f4534])).
% 59.09/9.98  tff(f4534,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat,X7 : X0] : (bit_se2584673776208193580ke_bit(X0,X8,X7) = X7 <=> zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X8),X7)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4533_take__bit__eq__self__iff__drop__bit__eq__0)).
% 59.09/9.98  tff(f88506,plain,(
% 59.09/9.98    spl2737_3349),
% 59.09/9.98    inference(avatar_split_clause,[],[f39917,f88504])).
% 59.09/9.98  tff(f88504,plain,(
% 59.09/9.98    spl2737_3349 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) | bit_se2584673776208193580ke_bit(X0,X1,X2) != X2 | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3349])])).
% 59.09/9.98  tff(f39917,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) | bit_se2584673776208193580ke_bit(X0,X1,X2) != X2 | ~bit_se359711467146920520ations(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29237])).
% 59.09/9.98  tff(f88497,plain,(
% 59.09/9.98    spl2737_3348 | ~spl2737_3347),
% 59.09/9.98    inference(avatar_split_clause,[],[f88493,f88490,f88495])).
% 59.09/9.98  tff(f88495,plain,(
% 59.09/9.98    spl2737_3348 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3348])])).
% 59.09/9.98  tff(f88490,plain,(
% 59.09/9.98    spl2737_3347 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3347])])).
% 59.09/9.98  tff(f88493,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3347),
% 59.09/9.98    inference(forward_demodulation,[],[f88491,f50171])).
% 59.09/9.98  tff(f88491,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3347),
% 59.09/9.98    inference(avatar_component_clause,[],[f88490])).
% 59.09/9.98  tff(f88492,plain,(
% 59.09/9.98    spl2737_3347),
% 59.09/9.98    inference(avatar_split_clause,[],[f39864,f88490])).
% 59.09/9.98  tff(f39864,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f20698])).
% 59.09/9.98  tff(f20698,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12410])).
% 59.09/9.98  tff(f12410,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f3359])).
% 59.09/9.98  tff(f3359,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3358_zero__and__eq)).
% 59.09/9.98  tff(f88483,plain,(
% 59.09/9.98    spl2737_3346 | ~spl2737_3345),
% 59.09/9.98    inference(avatar_split_clause,[],[f88479,f88476,f88481])).
% 59.09/9.98  tff(f88481,plain,(
% 59.09/9.98    spl2737_3346 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3346])])).
% 59.09/9.98  tff(f88476,plain,(
% 59.09/9.98    spl2737_3345 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3345])])).
% 59.09/9.98  tff(f88479,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3345),
% 59.09/9.98    inference(forward_demodulation,[],[f88477,f50171])).
% 59.09/9.98  tff(f88477,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3345),
% 59.09/9.98    inference(avatar_component_clause,[],[f88476])).
% 59.09/9.98  tff(f88478,plain,(
% 59.09/9.98    spl2737_3345),
% 59.09/9.98    inference(avatar_split_clause,[],[f39863,f88476])).
% 59.09/9.98  tff(f39863,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f20697])).
% 59.09/9.98  tff(f20697,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12409])).
% 59.09/9.98  tff(f12409,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)))),
% 59.09/9.98    inference(rectify,[],[f3360])).
% 59.09/9.98  tff(f3360,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X7),zero_zero(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3359_and__zero__eq)).
% 59.09/9.98  tff(f88421,plain,(
% 59.09/9.98    spl2737_3344 | ~spl2737_3343),
% 59.09/9.98    inference(avatar_split_clause,[],[f88417,f88414,f88419])).
% 59.09/9.98  tff(f88419,plain,(
% 59.09/9.98    spl2737_3344 <=> ! [X2 : $tType,X0 : nat,X1 : nat,X3 : X2] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),X1)) | sP155(X2,X0,X1,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3344])])).
% 59.09/9.98  tff(f88414,plain,(
% 59.09/9.98    spl2737_3343 <=> ! [X2 : $tType,X0 : nat,X3 : X2,X1 : nat] : (sP155(X2,X0,X1,X3) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3343])])).
% 59.09/9.98  tff(f88417,plain,(
% 59.09/9.98    ( ! [X2 : $tType,X3 : X2,X0 : nat,X1 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),X1)) | sP155(X2,X0,X1,X3)) ) | ~spl2737_3343),
% 59.09/9.98    inference(forward_demodulation,[],[f88415,f50171])).
% 59.09/9.98  tff(f88415,plain,(
% 59.09/9.98    ( ! [X2 : $tType,X3 : X2,X0 : nat,X1 : nat] : (sP155(X2,X0,X1,X3) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0))) ) | ~spl2737_3343),
% 59.09/9.98    inference(avatar_component_clause,[],[f88414])).
% 59.09/9.98  tff(f88416,plain,(
% 59.09/9.98    spl2737_3343),
% 59.09/9.98    inference(avatar_split_clause,[],[f39553,f88414])).
% 59.09/9.98  tff(f39553,plain,(
% 59.09/9.98    ( ! [X2 : $tType,X3 : X2,X0 : nat,X1 : nat] : (sP155(X2,X0,X1,X3) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29111])).
% 59.09/9.98  tff(f29111,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : $tType,X3 : X2] : ((sP155(X2,X0,X1,X3) | ((~pp(aa(X2,bool,aa(X2,fun(X2,bool),dvd_dvd(X2),aa(num,X2,numeral_numeral(X2),bit0(one2))),divide_divide(X2,X3,aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X1))) & zero_zero(X2) != aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),bit0(one2))),X1) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)))) & ((pp(aa(X2,bool,aa(X2,fun(X2,bool),dvd_dvd(X2),aa(num,X2,numeral_numeral(X2),bit0(one2))),divide_divide(X2,X3,aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),X0))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X1))) | zero_zero(X2) = aa(nat,X2,aa(X2,fun(nat,X2),power_power(X2),aa(num,X2,numeral_numeral(X2),bit0(one2))),X1) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X0)) | ~sP155(X2,X0,X1,X3)))),
% 59.09/9.98    inference(rectify,[],[f29110])).
% 59.09/9.98  tff(f29110,plain,(
% 59.09/9.98    ! [X2 : nat,X3 : nat,X0 : $tType,X1 : X0] : ((sP155(X0,X2,X3,X1) | ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & zero_zero(X0) != aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))) & ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | zero_zero(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)) | ~sP155(X0,X2,X3,X1)))),
% 59.09/9.98    inference(flattening,[],[f29109])).
% 59.09/9.98  tff(f29109,plain,(
% 59.09/9.98    ! [X2 : nat,X3 : nat,X0 : $tType,X1 : X0] : ((sP155(X0,X2,X3,X1) | ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & zero_zero(X0) != aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | zero_zero(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))) | ~sP155(X0,X2,X3,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27317])).
% 59.09/9.98  tff(f27317,plain,(
% 59.09/9.98    ! [X2 : nat,X3 : nat,X0 : $tType,X1 : X0] : (sP155(X0,X2,X3,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | zero_zero(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP155])])).
% 59.09/9.98  tff(f88412,plain,(
% 59.09/9.98    spl2737_3342),
% 59.09/9.98    inference(avatar_split_clause,[],[f39548,f88410])).
% 59.09/9.98  tff(f88410,plain,(
% 59.09/9.98    spl2737_3342 <=> ! [X0 : $tType,X3 : nat,X2 : X0,X1 : X0] : (sP154(X0,X3,X2,X1) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),sK769(X0,X1,X2))) | ~bit_semiring_bits(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3342])])).
% 59.09/9.98  tff(f39548,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : nat,X1 : X0] : (sP154(X0,X3,X2,X1) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),sK769(X0,X1,X2))) | ~bit_semiring_bits(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29107])).
% 59.09/9.98  tff(f29107,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : nat] : (sP154(X0,X3,X2,X1) | (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),sK769(X0,X1,X2))) & pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),sK769(X0,X1,X2))))) | ~bit_semiring_bits(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK769])],[f27316,f29106])).
% 59.09/9.98  tff(f29106,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : X0,X2 : X0] : (? [X4 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),X4)) & pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X4))) => (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),sK769(X0,X1,X2))) & pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),sK769(X0,X1,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f27316,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : nat] : (sP154(X0,X3,X2,X1) | ? [X4 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),X4)) & pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X4)))) | ~bit_semiring_bits(X0))),
% 59.09/9.98    inference(definition_folding,[],[f20473,f27315])).
% 59.09/9.98  tff(f27315,plain,(
% 59.09/9.98    ! [X3 : nat,X2 : X0,X0 : $tType,X1 : X0] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3)) <=> (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),X3)) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X3)))) | ~sP154(X0,X3,X2,X1))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP154])])).
% 59.09/9.98  tff(f20473,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3)) <=> (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),X3)) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X3)))) | ? [X4 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),X4)) & pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X4)))) | ~bit_semiring_bits(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12228])).
% 59.09/9.98  tff(f12228,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : X0,X3 : nat] : (! [X4 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),X4)) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X4))) => (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2)),X3)) <=> (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X2),X3)) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X3))))))),
% 59.09/9.98    inference(rectify,[],[f3393])).
% 59.09/9.98  tff(f3393,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0,X49 : X0,X8 : nat] : (! [X19 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X49),X19)) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X7),X19))) => (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7),X49)),X8)) <=> (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X49),X8)) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X7),X8))))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3392_bit__disjunctive__add__iff)).
% 59.09/9.98  tff(f88408,plain,(
% 59.09/9.98    spl2737_3341),
% 59.09/9.98    inference(avatar_split_clause,[],[f39547,f88406])).
% 59.09/9.98  tff(f88406,plain,(
% 59.09/9.98    spl2737_3341 <=> ! [X0 : $tType,X3 : nat,X2 : X0,X1 : X0] : (sP154(X0,X3,X2,X1) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),sK769(X0,X1,X2))) | ~bit_semiring_bits(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3341])])).
% 59.09/9.98  tff(f39547,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : nat,X1 : X0] : (sP154(X0,X3,X2,X1) | pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),sK769(X0,X1,X2))) | ~bit_semiring_bits(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29107])).
% 59.09/9.98  tff(f88404,plain,(
% 59.09/9.98    spl2737_3340),
% 59.09/9.98    inference(avatar_split_clause,[],[f39442,f88402])).
% 59.09/9.98  tff(f88402,plain,(
% 59.09/9.98    spl2737_3340 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1) | ~boolea8198339166811842893lgebra(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3340])])).
% 59.09/9.98  tff(f39442,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1) | ~boolea8198339166811842893lgebra(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29057])).
% 59.09/9.98  tff(f29057,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) | X1 != X2) & (X1 = X2 | aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,uminus_uminus(X0),X1))) | ~boolea8198339166811842893lgebra(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f20412])).
% 59.09/9.98  tff(f20412,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) <=> X1 = X2) | ~boolea8198339166811842893lgebra(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12176])).
% 59.09/9.98  tff(f12176,plain,(
% 59.09/9.98    ! [X0 : $tType] : (boolea8198339166811842893lgebra(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,uminus_uminus(X0),X1) <=> X1 = X2))),
% 59.09/9.98    inference(rectify,[],[f449])).
% 59.09/9.98  tff(f449,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (boolea8198339166811842893lgebra(X0) => ! [X14 : X0,X15 : X0] : (aa(X0,X0,uminus_uminus(X0),X14) = aa(X0,X0,uminus_uminus(X0),X15) <=> X14 = X15))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_448_boolean__algebra__class_Oboolean__algebra_Ocompl__eq__compl__iff)).
% 59.09/9.98  tff(f88383,plain,(
% 59.09/9.98    spl2737_3339 | ~spl2737_3338),
% 59.09/9.98    inference(avatar_split_clause,[],[f88379,f88376,f88381])).
% 59.09/9.98  tff(f88381,plain,(
% 59.09/9.98    spl2737_3339 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),one_one(X0)),euclid7384307370059645450egment(X0,X1))) | ~euclid3128863361964157862miring(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3339])])).
% 59.09/9.98  tff(f88376,plain,(
% 59.09/9.98    spl2737_3338 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),euclid7384307370059645450egment(X0,X1)),one_one(X0))) | ~euclid3128863361964157862miring(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3338])])).
% 59.09/9.98  tff(f88379,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),one_one(X0)),euclid7384307370059645450egment(X0,X1))) | ~euclid3128863361964157862miring(X0)) ) | ~spl2737_3338),
% 59.09/9.98    inference(forward_demodulation,[],[f88377,f50171])).
% 59.09/9.98  tff(f88377,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),euclid7384307370059645450egment(X0,X1)),one_one(X0))) | ~euclid3128863361964157862miring(X0)) ) | ~spl2737_3338),
% 59.09/9.98    inference(avatar_component_clause,[],[f88376])).
% 59.09/9.98  tff(f88378,plain,(
% 59.09/9.98    spl2737_3338),
% 59.09/9.98    inference(avatar_split_clause,[],[f39087,f88376])).
% 59.09/9.98  tff(f39087,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),euclid7384307370059645450egment(X0,X1)),one_one(X0))) | ~euclid3128863361964157862miring(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f20190])).
% 59.09/9.98  tff(f20190,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),euclid7384307370059645450egment(X0,X1)),one_one(X0))) | ~euclid3128863361964157862miring(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11986])).
% 59.09/9.98  tff(f11986,plain,(
% 59.09/9.98    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),euclid7384307370059645450egment(X0,X1)),one_one(X0))))),
% 59.09/9.98    inference(rectify,[],[f7040])).
% 59.09/9.98  tff(f7040,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X7 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),euclid7384307370059645450egment(X0,X7)),one_one(X0))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7039_is__unit__division__segment)).
% 59.09/9.98  tff(f88374,plain,(
% 59.09/9.98    spl2737_3337),
% 59.09/9.98    inference(avatar_split_clause,[],[f38990,f88372])).
% 59.09/9.98  tff(f88372,plain,(
% 59.09/9.98    spl2737_3337 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 | ~sP119(X0,X1,X3,X2) | ~sP120(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3337])])).
% 59.09/9.98  tff(f38990,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 | ~sP119(X0,X1,X3,X2) | ~sP120(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28923])).
% 59.09/9.98  tff(f28923,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 | ~sP119(X0,X1,X3,X2)) & (sP119(X0,X1,X3,X2) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) != X1)) | ~sP120(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27263])).
% 59.09/9.98  tff(f27263,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 <=> sP119(X0,X1,X3,X2)) | ~sP120(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])])).
% 59.09/9.98  tff(f88370,plain,(
% 59.09/9.98    spl2737_3336),
% 59.09/9.98    inference(avatar_split_clause,[],[f38981,f88368])).
% 59.09/9.98  tff(f88368,plain,(
% 59.09/9.98    spl2737_3336 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 | ~sP117(X0,X3,X2,X1) | ~sP118(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3336])])).
% 59.09/9.98  tff(f38981,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 | ~sP117(X0,X3,X2,X1) | ~sP118(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28919])).
% 59.09/9.98  tff(f28919,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 | ~sP117(X0,X3,X2,X1)) & (sP117(X0,X3,X2,X1) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) != X3)) | ~sP118(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27260])).
% 59.09/9.98  tff(f27260,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 <=> sP117(X0,X3,X2,X1)) | ~sP118(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])])).
% 59.09/9.98  tff(f88366,plain,(
% 59.09/9.98    spl2737_3335),
% 59.09/9.98    inference(avatar_split_clause,[],[f38974,f88364])).
% 59.09/9.98  tff(f88364,plain,(
% 59.09/9.98    spl2737_3335 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : num] : (zero_zero(X1) = X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | ~sP115(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3335])])).
% 59.09/9.98  tff(f38974,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | ~sP115(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28918])).
% 59.09/9.98  tff(f28918,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((sP115(X1,X0,X2,X3) | (zero_zero(X1) != X0 & zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2)) | (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),aa(num,X1,numeral_numeral(X1),X2)) != X3 & zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2))) & (((zero_zero(X1) = X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) & (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),aa(num,X1,numeral_numeral(X1),X2)) = X3 | zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) | ~sP115(X1,X0,X2,X3)))),
% 59.09/9.98    inference(rectify,[],[f28917])).
% 59.09/9.98  tff(f28917,plain,(
% 59.09/9.98    ! [X3 : X0,X0 : $tType,X2 : num,X1 : X0] : ((sP115(X0,X3,X2,X1) | (zero_zero(X0) != X3 & zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X2)) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) != X1 & zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2))) & (((zero_zero(X0) = X3 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) = X1 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X2))) | ~sP115(X0,X3,X2,X1)))),
% 59.09/9.98    inference(flattening,[],[f28916])).
% 59.09/9.98  tff(f28916,plain,(
% 59.09/9.98    ! [X3 : X0,X0 : $tType,X2 : num,X1 : X0] : ((sP115(X0,X3,X2,X1) | ((zero_zero(X0) != X3 & zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X2)) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) != X1 & zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2)))) & (((zero_zero(X0) = X3 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) = X1 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X2))) | ~sP115(X0,X3,X2,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27256])).
% 59.09/9.98  tff(f27256,plain,(
% 59.09/9.98    ! [X3 : X0,X0 : $tType,X2 : num,X1 : X0] : (sP115(X0,X3,X2,X1) <=> ((zero_zero(X0) = X3 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) = X1 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X2))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])])).
% 59.09/9.98  tff(f88362,plain,(
% 59.09/9.98    spl2737_3334),
% 59.09/9.98    inference(avatar_split_clause,[],[f38972,f88360])).
% 59.09/9.98  tff(f88360,plain,(
% 59.09/9.98    spl2737_3334 <=> ! [X0 : $tType,X3 : X0,X2 : num,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 | ~sP115(X0,X3,X2,X1) | ~sP116(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3334])])).
% 59.09/9.98  tff(f38972,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 | ~sP115(X0,X3,X2,X1) | ~sP116(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28915])).
% 59.09/9.98  tff(f28915,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : ((divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 | ~sP115(X0,X3,X2,X1)) & (sP115(X0,X3,X2,X1) | divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) != X3)) | ~sP116(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27257])).
% 59.09/9.98  tff(f27257,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 <=> sP115(X0,X3,X2,X1)) | ~sP116(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])])).
% 59.09/9.98  tff(f88358,plain,(
% 59.09/9.98    spl2737_3333),
% 59.09/9.98    inference(avatar_split_clause,[],[f38965,f88356])).
% 59.09/9.98  tff(f88356,plain,(
% 59.09/9.98    spl2737_3333 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : num] : (zero_zero(X1) = X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | ~sP113(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3333])])).
% 59.09/9.98  tff(f38965,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2) | ~sP113(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28914])).
% 59.09/9.98  tff(f28914,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : num,X3 : X1] : ((sP113(X1,X0,X2,X3) | (zero_zero(X1) != X0 & zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2)) | (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),aa(num,X1,numeral_numeral(X1),X2)) != X3 & zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2))) & (((zero_zero(X1) = X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) & (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),aa(num,X1,numeral_numeral(X1),X2)) = X3 | zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X2))) | ~sP113(X1,X0,X2,X3)))),
% 59.09/9.98    inference(rectify,[],[f28913])).
% 59.09/9.98  tff(f28913,plain,(
% 59.09/9.98    ! [X1 : X0,X0 : $tType,X3 : num,X2 : X0] : ((sP113(X0,X1,X3,X2) | (zero_zero(X0) != X1 & zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3)) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) != X2 & zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3))) & (((zero_zero(X0) = X1 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) = X2 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3))) | ~sP113(X0,X1,X3,X2)))),
% 59.09/9.98    inference(flattening,[],[f28912])).
% 59.09/9.98  tff(f28912,plain,(
% 59.09/9.98    ! [X1 : X0,X0 : $tType,X3 : num,X2 : X0] : ((sP113(X0,X1,X3,X2) | ((zero_zero(X0) != X1 & zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3)) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) != X2 & zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3)))) & (((zero_zero(X0) = X1 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) = X2 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3))) | ~sP113(X0,X1,X3,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27253])).
% 59.09/9.98  tff(f27253,plain,(
% 59.09/9.98    ! [X1 : X0,X0 : $tType,X3 : num,X2 : X0] : (sP113(X0,X1,X3,X2) <=> ((zero_zero(X0) = X1 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) = X2 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])])).
% 59.09/9.98  tff(f88354,plain,(
% 59.09/9.98    spl2737_3332),
% 59.09/9.98    inference(avatar_split_clause,[],[f38963,f88352])).
% 59.09/9.98  tff(f88352,plain,(
% 59.09/9.98    spl2737_3332 <=> ! [X0 : $tType,X3 : num,X2 : X0,X1 : X0] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 | ~sP113(X0,X1,X3,X2) | ~sP114(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3332])])).
% 59.09/9.98  tff(f38963,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 | ~sP113(X0,X1,X3,X2) | ~sP114(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28911])).
% 59.09/9.98  tff(f28911,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : ((divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 | ~sP113(X0,X1,X3,X2)) & (sP113(X0,X1,X3,X2) | divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) != X1)) | ~sP114(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27254])).
% 59.09/9.98  tff(f27254,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 <=> sP113(X0,X1,X3,X2)) | ~sP114(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])])).
% 59.09/9.98  tff(f88350,plain,(
% 59.09/9.98    spl2737_3331),
% 59.09/9.98    inference(avatar_split_clause,[],[f38954,f88348])).
% 59.09/9.98  tff(f88348,plain,(
% 59.09/9.98    spl2737_3331 <=> ! [X0 : $tType,X3 : num,X2 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) | ~sP111(X0,X3,X2,X1) | ~sP112(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3331])])).
% 59.09/9.98  tff(f38954,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) | ~sP111(X0,X3,X2,X1) | ~sP112(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28907])).
% 59.09/9.98  tff(f28907,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : ((divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) | ~sP111(X0,X3,X2,X1)) & (sP111(X0,X3,X2,X1) | divide_divide(X0,X1,X2) != aa(num,X0,numeral_numeral(X0),X3))) | ~sP112(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27251])).
% 59.09/9.98  tff(f27251,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) <=> sP111(X0,X3,X2,X1)) | ~sP112(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])])).
% 59.09/9.98  tff(f88346,plain,(
% 59.09/9.98    spl2737_3330),
% 59.09/9.98    inference(avatar_split_clause,[],[f38953,f88344])).
% 59.09/9.98  tff(f88344,plain,(
% 59.09/9.98    spl2737_3330 <=> ! [X0 : $tType,X3 : num,X2 : X0,X1 : X0] : (sP111(X0,X3,X2,X1) | divide_divide(X0,X1,X2) != aa(num,X0,numeral_numeral(X0),X3) | ~sP112(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3330])])).
% 59.09/9.98  tff(f38953,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (sP111(X0,X3,X2,X1) | divide_divide(X0,X1,X2) != aa(num,X0,numeral_numeral(X0),X3) | ~sP112(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28907])).
% 59.09/9.98  tff(f88342,plain,(
% 59.09/9.98    spl2737_3329),
% 59.09/9.98    inference(avatar_split_clause,[],[f38945,f88340])).
% 59.09/9.98  tff(f88340,plain,(
% 59.09/9.98    spl2737_3329 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) | ~sP109(X0,X1,X3,X2) | ~sP110(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3329])])).
% 59.09/9.98  tff(f38945,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : num] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) | ~sP109(X0,X1,X3,X2) | ~sP110(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28903])).
% 59.09/9.98  tff(f28903,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : ((aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) | ~sP109(X0,X1,X3,X2)) & (sP109(X0,X1,X3,X2) | aa(num,X0,numeral_numeral(X0),X1) != divide_divide(X0,X2,X3))) | ~sP110(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27248])).
% 59.09/9.98  tff(f27248,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) <=> sP109(X0,X1,X3,X2)) | ~sP110(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])])).
% 59.09/9.98  tff(f88338,plain,(
% 59.09/9.98    spl2737_3328),
% 59.09/9.98    inference(avatar_split_clause,[],[f38944,f88336])).
% 59.09/9.98  tff(f88336,plain,(
% 59.09/9.98    spl2737_3328 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : num] : (sP109(X0,X1,X3,X2) | aa(num,X0,numeral_numeral(X0),X1) != divide_divide(X0,X2,X3) | ~sP110(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3328])])).
% 59.09/9.98  tff(f38944,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : num] : (sP109(X0,X1,X3,X2) | aa(num,X0,numeral_numeral(X0),X1) != divide_divide(X0,X2,X3) | ~sP110(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28903])).
% 59.09/9.98  tff(f88334,plain,(
% 59.09/9.98    spl2737_3327),
% 59.09/9.98    inference(avatar_split_clause,[],[f38872,f88332])).
% 59.09/9.98  tff(f88332,plain,(
% 59.09/9.98    spl2737_3327 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,inverse_inverse(X0),X1) != aa(X0,X0,inverse_inverse(X0),X2) | ~division_ring(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3327])])).
% 59.09/9.98  tff(f38872,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | aa(X0,X0,inverse_inverse(X0),X1) != aa(X0,X0,inverse_inverse(X0),X2) | ~division_ring(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f20096])).
% 59.09/9.98  tff(f20096,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 = X2 | aa(X0,X0,inverse_inverse(X0),X1) != aa(X0,X0,inverse_inverse(X0),X2)) | ~division_ring(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11902])).
% 59.09/9.98  tff(f11902,plain,(
% 59.09/9.98    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,inverse_inverse(X0),X1) = aa(X0,X0,inverse_inverse(X0),X2) => X1 = X2))),
% 59.09/9.98    inference(rectify,[],[f472])).
% 59.09/9.98  tff(f472,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0,X49 : X0] : (aa(X0,X0,inverse_inverse(X0),X7) = aa(X0,X0,inverse_inverse(X0),X49) => X7 = X49))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_471_inverse__eq__imp__eq)).
% 59.09/9.98  tff(f88330,plain,(
% 59.09/9.98    spl2737_3326),
% 59.09/9.98    inference(avatar_split_clause,[],[f38712,f88328])).
% 59.09/9.98  tff(f88328,plain,(
% 59.09/9.98    spl2737_3326 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (X1 = X3 | zero_zero(X0) = X2 | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2) | ~field(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3326])])).
% 59.09/9.98  tff(f38712,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (X1 = X3 | zero_zero(X0) = X2 | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2) | ~field(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28873])).
% 59.09/9.98  tff(f28873,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) | (X1 != X3 & zero_zero(X0) != X2)) & (X1 = X3 | zero_zero(X0) = X2 | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2))) | ~field(X0))),
% 59.09/9.98    inference(flattening,[],[f28872])).
% 59.09/9.98  tff(f28872,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) | (X1 != X3 & zero_zero(X0) != X2)) & ((X1 = X3 | zero_zero(X0) = X2) | divide_divide(X0,X1,X2) != divide_divide(X0,X3,X2))) | ~field(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f19943])).
% 59.09/9.98  tff(f19943,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) <=> (X1 = X3 | zero_zero(X0) = X2)) | ~field(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11773])).
% 59.09/9.98  tff(f11773,plain,(
% 59.09/9.98    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) <=> (X1 = X3 | zero_zero(X0) = X2)))),
% 59.09/9.98    inference(rectify,[],[f940])).
% 59.09/9.98  tff(f940,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (field(X0) => ! [X7 : X0,X50 : X0,X49 : X0] : (divide_divide(X0,X7,X50) = divide_divide(X0,X49,X50) <=> (X7 = X49 | zero_zero(X0) = X50)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_939_divide__cancel__right)).
% 59.09/9.98  tff(f88326,plain,(
% 59.09/9.98    spl2737_3325),
% 59.09/9.98    inference(avatar_split_clause,[],[f38709,f88324])).
% 59.09/9.98  tff(f88324,plain,(
% 59.09/9.98    spl2737_3325 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (X2 = X3 | zero_zero(X0) = X1 | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3) | ~field(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3325])])).
% 59.09/9.98  tff(f38709,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (X2 = X3 | zero_zero(X0) = X1 | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3) | ~field(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28871])).
% 59.09/9.98  tff(f28871,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) | (X2 != X3 & zero_zero(X0) != X1)) & (X2 = X3 | zero_zero(X0) = X1 | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3))) | ~field(X0))),
% 59.09/9.98    inference(flattening,[],[f28870])).
% 59.09/9.98  tff(f28870,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) | (X2 != X3 & zero_zero(X0) != X1)) & ((X2 = X3 | zero_zero(X0) = X1) | divide_divide(X0,X1,X2) != divide_divide(X0,X1,X3))) | ~field(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f19942])).
% 59.09/9.98  tff(f19942,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) <=> (X2 = X3 | zero_zero(X0) = X1)) | ~field(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11772])).
% 59.09/9.98  tff(f11772,plain,(
% 59.09/9.98    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) <=> (X2 = X3 | zero_zero(X0) = X1)))),
% 59.09/9.98    inference(rectify,[],[f941])).
% 59.09/9.98  tff(f941,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (field(X0) => ! [X50 : X0,X7 : X0,X49 : X0] : (divide_divide(X0,X50,X7) = divide_divide(X0,X50,X49) <=> (X7 = X49 | zero_zero(X0) = X50)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_940_divide__cancel__left)).
% 59.09/9.98  tff(f88322,plain,(
% 59.09/9.98    spl2737_3324),
% 59.09/9.98    inference(avatar_split_clause,[],[f38661,f88320])).
% 59.09/9.98  tff(f88320,plain,(
% 59.09/9.98    spl2737_3324 <=> ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),top_top(set(X0))) | zero_zero(X0) = X1 | ~field(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3324])])).
% 59.09/9.98  tff(f38661,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),top_top(set(X0))) | zero_zero(X0) = X1 | ~field(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28859])).
% 59.09/9.98  tff(f28859,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ((inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),top_top(set(X0))) | zero_zero(X0) = X1) & (zero_zero(X0) != X1 | ~inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),top_top(set(X0))))) | ~field(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f19907])).
% 59.09/9.98  tff(f19907,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : (inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1) | ~field(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11739])).
% 59.09/9.98  tff(f11739,plain,(
% 59.09/9.98    ! [X0 : $tType] : (field(X0) => ! [X1 : X0] : (inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1))),
% 59.09/9.98    inference(rectify,[],[f6153])).
% 59.09/9.98  tff(f6153,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (field(X0) => ! [X7 : X0] : (inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X7),top_top(set(X0))) <=> zero_zero(X0) != X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6152_inj__divide__right)).
% 59.09/9.98  tff(f88318,plain,(
% 59.09/9.98    spl2737_3323),
% 59.09/9.98    inference(avatar_split_clause,[],[f38639,f88316])).
% 59.09/9.98  tff(f88316,plain,(
% 59.09/9.98    spl2737_3323 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | ~unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X2)) | ~unique1627219031080169319umeral(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3323])])).
% 59.09/9.98  tff(f38639,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | ~unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X2)) | ~unique1627219031080169319umeral(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28853])).
% 59.09/9.98  tff(f28853,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X2)) | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | ~unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X2)))) | ~unique1627219031080169319umeral(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f19893])).
% 59.09/9.98  tff(f19893,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X2)) <=> zero_zero(X0) = X2) | ~unique1627219031080169319umeral(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11726])).
% 59.09/9.98  tff(f11726,plain,(
% 59.09/9.98    ! [X0 : $tType] : (unique1627219031080169319umeral(X0) => ! [X1 : X0,X2 : X0] : (unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X2)) <=> zero_zero(X0) = X2))),
% 59.09/9.98    inference(rectify,[],[f3297])).
% 59.09/9.98  tff(f3297,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (unique1627219031080169319umeral(X0) => ! [X134 : X0,X116 : X0] : (unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X134),X116)) <=> zero_zero(X0) = X116))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3296_divides__aux__eq)).
% 59.09/9.98  tff(f88314,plain,(
% 59.09/9.98    spl2737_3322),
% 59.09/9.98    inference(avatar_split_clause,[],[f38314,f88312])).
% 59.09/9.98  tff(f88312,plain,(
% 59.09/9.98    spl2737_3322 <=> ! [X0 : $tType] : (topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0))) = filtermap(X0,X0,inverse_inverse(X0),at_infinity(X0)) | ~real_V3459762299906320749_field(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3322])])).
% 59.09/9.98  tff(f38314,plain,(
% 59.09/9.98    ( ! [X0 : $tType] : (topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0))) = filtermap(X0,X0,inverse_inverse(X0),at_infinity(X0)) | ~real_V3459762299906320749_field(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19589])).
% 59.09/9.98  tff(f19589,plain,(
% 59.09/9.98    ! [X0 : $tType] : (topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0))) = filtermap(X0,X0,inverse_inverse(X0),at_infinity(X0)) | ~real_V3459762299906320749_field(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f7218])).
% 59.09/9.98  tff(f7218,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0))) = filtermap(X0,X0,inverse_inverse(X0),at_infinity(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7217_at__to__infinity)).
% 59.09/9.98  tff(f88296,plain,(
% 59.09/9.98    spl2737_3321 | ~spl2737_3320),
% 59.09/9.98    inference(avatar_split_clause,[],[f88292,f88289,f88294])).
% 59.09/9.98  tff(f88294,plain,(
% 59.09/9.98    spl2737_3321 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),archimedean_frac(X0,X1))) | ~archim2362893244070406136eiling(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3321])])).
% 59.09/9.98  tff(f88289,plain,(
% 59.09/9.98    spl2737_3320 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),archimedean_frac(X0,X1)),one_one(X0))) | ~archim2362893244070406136eiling(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3320])])).
% 59.09/9.98  tff(f88292,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),archimedean_frac(X0,X1))) | ~archim2362893244070406136eiling(X0)) ) | ~spl2737_3320),
% 59.09/9.98    inference(forward_demodulation,[],[f88290,f50171])).
% 59.09/9.98  tff(f88290,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),archimedean_frac(X0,X1)),one_one(X0))) | ~archim2362893244070406136eiling(X0)) ) | ~spl2737_3320),
% 59.09/9.98    inference(avatar_component_clause,[],[f88289])).
% 59.09/9.98  tff(f88291,plain,(
% 59.09/9.98    spl2737_3320),
% 59.09/9.98    inference(avatar_split_clause,[],[f37494,f88289])).
% 59.09/9.98  tff(f37494,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),archimedean_frac(X0,X1)),one_one(X0))) | ~archim2362893244070406136eiling(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19188])).
% 59.09/9.98  tff(f19188,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),archimedean_frac(X0,X1)),one_one(X0))) | ~archim2362893244070406136eiling(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11155])).
% 59.09/9.98  tff(f11155,plain,(
% 59.09/9.98    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),archimedean_frac(X0,X1)),one_one(X0))))),
% 59.09/9.98    inference(rectify,[],[f1572])).
% 59.09/9.98  tff(f1572,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X14 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),archimedean_frac(X0,X14)),one_one(X0))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1571_frac__lt__1)).
% 59.09/9.98  tff(f88271,plain,(
% 59.09/9.98    spl2737_3319 | ~spl2737_3318),
% 59.09/9.98    inference(avatar_split_clause,[],[f88267,f88264,f88269])).
% 59.09/9.98  tff(f88269,plain,(
% 59.09/9.98    spl2737_3319 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),archimedean_frac(X0,X1)),zero_zero(X0))) | ~archim2362893244070406136eiling(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3319])])).
% 59.09/9.98  tff(f88264,plain,(
% 59.09/9.98    spl2737_3318 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),archimedean_frac(X0,X1))) | ~archim2362893244070406136eiling(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3318])])).
% 59.09/9.98  tff(f88267,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),archimedean_frac(X0,X1)),zero_zero(X0))) | ~archim2362893244070406136eiling(X0)) ) | ~spl2737_3318),
% 59.09/9.98    inference(forward_demodulation,[],[f88265,f50171])).
% 59.09/9.98  tff(f88265,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),archimedean_frac(X0,X1))) | ~archim2362893244070406136eiling(X0)) ) | ~spl2737_3318),
% 59.09/9.98    inference(avatar_component_clause,[],[f88264])).
% 59.09/9.98  tff(f88266,plain,(
% 59.09/9.98    spl2737_3318),
% 59.09/9.98    inference(avatar_split_clause,[],[f37493,f88264])).
% 59.09/9.98  tff(f37493,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),archimedean_frac(X0,X1))) | ~archim2362893244070406136eiling(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19187])).
% 59.09/9.98  tff(f19187,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),archimedean_frac(X0,X1))) | ~archim2362893244070406136eiling(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11154])).
% 59.09/9.98  tff(f11154,plain,(
% 59.09/9.98    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),archimedean_frac(X0,X1))))),
% 59.09/9.98    inference(rectify,[],[f1571])).
% 59.09/9.98  tff(f1571,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X14 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),archimedean_frac(X0,X14))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1570_frac__ge__0)).
% 59.09/9.98  tff(f88262,plain,(
% 59.09/9.98    spl2737_3317 | ~spl2737_3316),
% 59.09/9.98    inference(avatar_split_clause,[],[f88258,f88255,f88260])).
% 59.09/9.98  tff(f88260,plain,(
% 59.09/9.98    spl2737_3317 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X2),X0)) | ~sP29(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3317])])).
% 59.09/9.98  tff(f88255,plain,(
% 59.09/9.98    spl2737_3316 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X2)) | ~sP29(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3316])])).
% 59.09/9.98  tff(f88258,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X2),X0)) | ~sP29(X1,X0,X2,X3)) ) | ~spl2737_3316),
% 59.09/9.98    inference(forward_demodulation,[],[f88256,f50171])).
% 59.09/9.98  tff(f88256,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X2)) | ~sP29(X1,X0,X2,X3)) ) | ~spl2737_3316),
% 59.09/9.98    inference(avatar_component_clause,[],[f88255])).
% 59.09/9.98  tff(f88257,plain,(
% 59.09/9.98    spl2737_3316),
% 59.09/9.98    inference(avatar_split_clause,[],[f37462,f88255])).
% 59.09/9.98  tff(f37462,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X2)) | ~sP29(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28417])).
% 59.09/9.98  tff(f28417,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP29(X1,X0,X2,X3) | (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK707(X1,X0,X2,X3)),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK707(X1,X0,X2,X3)),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK707(X1,X0,X2,X3)),X3))) | aa(X1,X1,normal6383669964737779283malize(X1),X0) != X0 | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X2)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X3))) & ((! [X5 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X5),X0)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X5),X2)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X5),X3))) & aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X3))) | ~sP29(X1,X0,X2,X3)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK707])],[f28415,f28416])).
% 59.09/9.98  tff(f28416,plain,(
% 59.09/9.98    ! [X1 : $tType,X0 : X1,X2 : X1,X3 : X1] : (? [X4 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X4),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X4),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X4),X3))) => (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK707(X1,X0,X2,X3)),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK707(X1,X0,X2,X3)),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK707(X1,X0,X2,X3)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f28415,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP29(X1,X0,X2,X3) | ? [X4 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X4),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X4),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X4),X3))) | aa(X1,X1,normal6383669964737779283malize(X1),X0) != X0 | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X2)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X3))) & ((! [X5 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X5),X0)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X5),X2)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X5),X3))) & aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X3))) | ~sP29(X1,X0,X2,X3)))),
% 59.09/9.98    inference(rectify,[],[f28414])).
% 59.09/9.98  tff(f28414,plain,(
% 59.09/9.98    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : ((sP29(X0,X1,X3,X2) | ? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2))) | aa(X0,X0,normal6383669964737779283malize(X0),X1) != X1 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) & ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2))) & aa(X0,X0,normal6383669964737779283malize(X0),X1) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) | ~sP29(X0,X1,X3,X2)))),
% 59.09/9.98    inference(flattening,[],[f28413])).
% 59.09/9.98  tff(f28413,plain,(
% 59.09/9.98    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : ((sP29(X0,X1,X3,X2) | (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2))) | aa(X0,X0,normal6383669964737779283malize(X0),X1) != X1 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)))) & ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2))) & aa(X0,X0,normal6383669964737779283malize(X0),X1) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) | ~sP29(X0,X1,X3,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27135])).
% 59.09/9.98  tff(f27135,plain,(
% 59.09/9.98    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : (sP29(X0,X1,X3,X2) <=> (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2))) & aa(X0,X0,normal6383669964737779283malize(X0),X1) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])])).
% 59.09/9.98  tff(f88253,plain,(
% 59.09/9.98    spl2737_3315 | ~spl2737_3314),
% 59.09/9.98    inference(avatar_split_clause,[],[f88249,f88246,f88251])).
% 59.09/9.98  tff(f88251,plain,(
% 59.09/9.98    spl2737_3315 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X3),X0)) | ~sP29(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3315])])).
% 59.09/9.98  tff(f88246,plain,(
% 59.09/9.98    spl2737_3314 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X3)) | ~sP29(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3314])])).
% 59.09/9.98  tff(f88249,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X3),X0)) | ~sP29(X1,X0,X2,X3)) ) | ~spl2737_3314),
% 59.09/9.98    inference(forward_demodulation,[],[f88247,f50171])).
% 59.09/9.98  tff(f88247,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X3)) | ~sP29(X1,X0,X2,X3)) ) | ~spl2737_3314),
% 59.09/9.98    inference(avatar_component_clause,[],[f88246])).
% 59.09/9.98  tff(f88248,plain,(
% 59.09/9.98    spl2737_3314),
% 59.09/9.98    inference(avatar_split_clause,[],[f37461,f88246])).
% 59.09/9.98  tff(f37461,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X3)) | ~sP29(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28417])).
% 59.09/9.98  tff(f88244,plain,(
% 59.09/9.98    spl2737_3313 | ~spl2737_3312),
% 59.09/9.98    inference(avatar_split_clause,[],[f88240,f88237,f88242])).
% 59.09/9.98  tff(f88242,plain,(
% 59.09/9.98    spl2737_3313 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X0),X2)) | ~sP27(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3313])])).
% 59.09/9.98  tff(f88237,plain,(
% 59.09/9.98    spl2737_3312 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X0)) | ~sP27(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3312])])).
% 59.09/9.98  tff(f88240,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X0),X2)) | ~sP27(X1,X0,X2,X3)) ) | ~spl2737_3312),
% 59.09/9.98    inference(forward_demodulation,[],[f88238,f50171])).
% 59.09/9.98  tff(f88238,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X0)) | ~sP27(X1,X0,X2,X3)) ) | ~spl2737_3312),
% 59.09/9.98    inference(avatar_component_clause,[],[f88237])).
% 59.09/9.98  tff(f88239,plain,(
% 59.09/9.98    spl2737_3312),
% 59.09/9.98    inference(avatar_split_clause,[],[f37452,f88237])).
% 59.09/9.98  tff(f37452,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X0)) | ~sP27(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28411])).
% 59.09/9.98  tff(f28411,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP27(X1,X0,X2,X3) | (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),sK706(X1,X0,X2,X3))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),sK706(X1,X0,X2,X3))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),sK706(X1,X0,X2,X3)))) | aa(X1,X1,normal6383669964737779283malize(X1),X0) != X0 | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X0)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X0))) & ((! [X5 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X5)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X5)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X5))) & aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X0))) | ~sP27(X1,X0,X2,X3)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK706])],[f28409,f28410])).
% 59.09/9.98  tff(f28410,plain,(
% 59.09/9.98    ! [X1 : $tType,X0 : X1,X2 : X1,X3 : X1] : (? [X4 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X4)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X4))) => (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),sK706(X1,X0,X2,X3))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),sK706(X1,X0,X2,X3))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),sK706(X1,X0,X2,X3)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f28409,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP27(X1,X0,X2,X3) | ? [X4 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X4)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X4))) | aa(X1,X1,normal6383669964737779283malize(X1),X0) != X0 | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X0)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X0))) & ((! [X5 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X0),X5)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X5)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X5))) & aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X2),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X0))) | ~sP27(X1,X0,X2,X3)))),
% 59.09/9.98    inference(rectify,[],[f28408])).
% 59.09/9.98  tff(f28408,plain,(
% 59.09/9.98    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : ((sP27(X0,X2,X3,X1) | ? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4))) | aa(X0,X0,normal6383669964737779283malize(X0),X2) != X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) & ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4))) & aa(X0,X0,normal6383669964737779283malize(X0),X2) = X2 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) | ~sP27(X0,X2,X3,X1)))),
% 59.09/9.98    inference(flattening,[],[f28407])).
% 59.09/9.98  tff(f28407,plain,(
% 59.09/9.98    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : ((sP27(X0,X2,X3,X1) | (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4))) | aa(X0,X0,normal6383669964737779283malize(X0),X2) != X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)))) & ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4))) & aa(X0,X0,normal6383669964737779283malize(X0),X2) = X2 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) | ~sP27(X0,X2,X3,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27132])).
% 59.09/9.98  tff(f27132,plain,(
% 59.09/9.98    ! [X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (sP27(X0,X2,X3,X1) <=> (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4))) & aa(X0,X0,normal6383669964737779283malize(X0),X2) = X2 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])])).
% 59.09/9.98  tff(f88235,plain,(
% 59.09/9.98    spl2737_3311 | ~spl2737_3310),
% 59.09/9.98    inference(avatar_split_clause,[],[f88231,f88228,f88233])).
% 59.09/9.98  tff(f88233,plain,(
% 59.09/9.98    spl2737_3311 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X0),X3)) | ~sP27(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3311])])).
% 59.09/9.98  tff(f88228,plain,(
% 59.09/9.98    spl2737_3310 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X0)) | ~sP27(X1,X0,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3310])])).
% 59.09/9.98  tff(f88231,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,combc(X1,X1,bool,dvd_dvd(X1),X0),X3)) | ~sP27(X1,X0,X2,X3)) ) | ~spl2737_3310),
% 59.09/9.98    inference(forward_demodulation,[],[f88229,f50171])).
% 59.09/9.98  tff(f88229,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X0)) | ~sP27(X1,X0,X2,X3)) ) | ~spl2737_3310),
% 59.09/9.98    inference(avatar_component_clause,[],[f88228])).
% 59.09/9.98  tff(f88230,plain,(
% 59.09/9.98    spl2737_3310),
% 59.09/9.98    inference(avatar_split_clause,[],[f37451,f88228])).
% 59.09/9.98  tff(f37451,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),X0)) | ~sP27(X1,X0,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28411])).
% 59.09/9.98  tff(f88218,plain,(
% 59.09/9.98    spl2737_3309 | ~spl2737_3308),
% 59.09/9.98    inference(avatar_split_clause,[],[f88214,f88211,f88216])).
% 59.09/9.98  tff(f88216,plain,(
% 59.09/9.98    spl2737_3309 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),one_one(X0)),X1),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3309])])).
% 59.09/9.98  tff(f88211,plain,(
% 59.09/9.98    spl2737_3308 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3308])])).
% 59.09/9.98  tff(f88214,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),one_one(X0)),X1),X1) | ~semiring_gcd(X0)) ) | ~spl2737_3308),
% 59.09/9.98    inference(forward_demodulation,[],[f88212,f50171])).
% 59.09/9.98  tff(f88212,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0)),X1) | ~semiring_gcd(X0)) ) | ~spl2737_3308),
% 59.09/9.98    inference(avatar_component_clause,[],[f88211])).
% 59.09/9.98  tff(f88213,plain,(
% 59.09/9.98    spl2737_3308),
% 59.09/9.98    inference(avatar_split_clause,[],[f37242,f88211])).
% 59.09/9.98  tff(f37242,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0)),X1) | ~semiring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19007])).
% 59.09/9.98  tff(f19007,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10998])).
% 59.09/9.98  tff(f10998,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f6828])).
% 59.09/9.98  tff(f6828,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0] : algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7),one_one(X0)),X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6827_coprime__add__one__left)).
% 59.09/9.98  tff(f88201,plain,(
% 59.09/9.98    spl2737_3307 | ~spl2737_3306),
% 59.09/9.98    inference(avatar_split_clause,[],[f88197,f88194,f88199])).
% 59.09/9.98  tff(f88199,plain,(
% 59.09/9.98    spl2737_3307 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),one_one(X0)),X1)) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3307])])).
% 59.09/9.98  tff(f88194,plain,(
% 59.09/9.98    spl2737_3306 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0))) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3306])])).
% 59.09/9.98  tff(f88197,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),one_one(X0)),X1)) | ~semiring_gcd(X0)) ) | ~spl2737_3306),
% 59.09/9.98    inference(forward_demodulation,[],[f88195,f50171])).
% 59.09/9.98  tff(f88195,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0))) | ~semiring_gcd(X0)) ) | ~spl2737_3306),
% 59.09/9.98    inference(avatar_component_clause,[],[f88194])).
% 59.09/9.98  tff(f88196,plain,(
% 59.09/9.98    spl2737_3306),
% 59.09/9.98    inference(avatar_split_clause,[],[f37241,f88194])).
% 59.09/9.98  tff(f37241,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0))) | ~semiring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19006])).
% 59.09/9.98  tff(f19006,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0))) | ~semiring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10997])).
% 59.09/9.98  tff(f10997,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),one_one(X0))))),
% 59.09/9.98    inference(rectify,[],[f6827])).
% 59.09/9.98  tff(f6827,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0] : algebr8660921524188924756oprime(X0,X7,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7),one_one(X0))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6826_coprime__add__one__right)).
% 59.09/9.98  tff(f88189,plain,(
% 59.09/9.98    spl2737_3305 | ~spl2737_3304),
% 59.09/9.98    inference(avatar_split_clause,[],[f88185,f88182,f88187])).
% 59.09/9.98  tff(f88187,plain,(
% 59.09/9.98    spl2737_3305 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_lcm(X0),X1),zero_zero(X0)) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3305])])).
% 59.09/9.98  tff(f88182,plain,(
% 59.09/9.98    spl2737_3304 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),zero_zero(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3304])])).
% 59.09/9.98  tff(f88185,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_lcm(X0),X1),zero_zero(X0)) | ~semiring_gcd(X0)) ) | ~spl2737_3304),
% 59.09/9.98    inference(forward_demodulation,[],[f88183,f50171])).
% 59.09/9.98  tff(f88183,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),zero_zero(X0)),X1) | ~semiring_gcd(X0)) ) | ~spl2737_3304),
% 59.09/9.98    inference(avatar_component_clause,[],[f88182])).
% 59.09/9.98  tff(f88184,plain,(
% 59.09/9.98    spl2737_3304),
% 59.09/9.98    inference(avatar_split_clause,[],[f37240,f88182])).
% 59.09/9.98  tff(f37240,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),zero_zero(X0)),X1) | ~semiring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19005])).
% 59.09/9.98  tff(f19005,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),zero_zero(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10996])).
% 59.09/9.98  tff(f10996,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),zero_zero(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f7576])).
% 59.09/9.98  tff(f7576,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),zero_zero(X0)),X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7575_lcm_Obottom__left__bottom)).
% 59.09/9.98  tff(f88177,plain,(
% 59.09/9.98    spl2737_3303 | ~spl2737_3302),
% 59.09/9.98    inference(avatar_split_clause,[],[f88173,f88170,f88175])).
% 59.09/9.98  tff(f88175,plain,(
% 59.09/9.98    spl2737_3303 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_lcm(X0),zero_zero(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3303])])).
% 59.09/9.98  tff(f88170,plain,(
% 59.09/9.98    spl2737_3302 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),zero_zero(X0)) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3302])])).
% 59.09/9.98  tff(f88173,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_lcm(X0),zero_zero(X0)),X1) | ~semiring_gcd(X0)) ) | ~spl2737_3302),
% 59.09/9.98    inference(forward_demodulation,[],[f88171,f50171])).
% 59.09/9.98  tff(f88171,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),zero_zero(X0)) | ~semiring_gcd(X0)) ) | ~spl2737_3302),
% 59.09/9.98    inference(avatar_component_clause,[],[f88170])).
% 59.09/9.98  tff(f88172,plain,(
% 59.09/9.98    spl2737_3302),
% 59.09/9.98    inference(avatar_split_clause,[],[f37239,f88170])).
% 59.09/9.98  tff(f37239,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),zero_zero(X0)) | ~semiring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19004])).
% 59.09/9.98  tff(f19004,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),zero_zero(X0)) | ~semiring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10995])).
% 59.09/9.98  tff(f10995,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),zero_zero(X0)))),
% 59.09/9.98    inference(rectify,[],[f7575])).
% 59.09/9.98  tff(f7575,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X7),zero_zero(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7574_lcm_Obottom__right__bottom)).
% 59.09/9.98  tff(f88166,plain,(
% 59.09/9.98    spl2737_3301 | ~spl2737_3300),
% 59.09/9.98    inference(avatar_split_clause,[],[f88162,f88159,f88164])).
% 59.09/9.98  tff(f88164,plain,(
% 59.09/9.98    spl2737_3301 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_gcd(X0),X1),one_one(X0)) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3301])])).
% 59.09/9.98  tff(f88159,plain,(
% 59.09/9.98    spl2737_3300 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),one_one(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3300])])).
% 59.09/9.98  tff(f88162,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_gcd(X0),X1),one_one(X0)) | ~semiring_gcd(X0)) ) | ~spl2737_3300),
% 59.09/9.98    inference(forward_demodulation,[],[f88160,f50171])).
% 59.09/9.98  tff(f88160,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),one_one(X0)),X1) | ~semiring_gcd(X0)) ) | ~spl2737_3300),
% 59.09/9.98    inference(avatar_component_clause,[],[f88159])).
% 59.09/9.98  tff(f88161,plain,(
% 59.09/9.98    spl2737_3300),
% 59.09/9.98    inference(avatar_split_clause,[],[f37238,f88159])).
% 59.09/9.98  tff(f37238,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),one_one(X0)),X1) | ~semiring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19003])).
% 59.09/9.98  tff(f19003,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),one_one(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10994])).
% 59.09/9.98  tff(f10994,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),one_one(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f6586])).
% 59.09/9.98  tff(f6586,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0] : one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),one_one(X0)),X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6585_gcd_Obottom__left__bottom)).
% 59.09/9.98  tff(f88155,plain,(
% 59.09/9.98    spl2737_3299 | ~spl2737_3298),
% 59.09/9.98    inference(avatar_split_clause,[],[f88151,f88148,f88153])).
% 59.09/9.98  tff(f88153,plain,(
% 59.09/9.98    spl2737_3299 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_gcd(X0),one_one(X0)),X1) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3299])])).
% 59.09/9.98  tff(f88148,plain,(
% 59.09/9.98    spl2737_3298 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X1),one_one(X0)) | ~semiring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3298])])).
% 59.09/9.98  tff(f88151,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,combc(X0,X0,X0,gcd_gcd(X0),one_one(X0)),X1) | ~semiring_gcd(X0)) ) | ~spl2737_3298),
% 59.09/9.98    inference(forward_demodulation,[],[f88149,f50171])).
% 59.09/9.98  tff(f88149,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X1),one_one(X0)) | ~semiring_gcd(X0)) ) | ~spl2737_3298),
% 59.09/9.98    inference(avatar_component_clause,[],[f88148])).
% 59.09/9.98  tff(f88150,plain,(
% 59.09/9.98    spl2737_3298),
% 59.09/9.98    inference(avatar_split_clause,[],[f37237,f88148])).
% 59.09/9.98  tff(f37237,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X1),one_one(X0)) | ~semiring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19002])).
% 59.09/9.98  tff(f19002,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X1),one_one(X0)) | ~semiring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10993])).
% 59.09/9.98  tff(f10993,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0] : one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X1),one_one(X0)))),
% 59.09/9.98    inference(rectify,[],[f6587])).
% 59.09/9.98  tff(f6587,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0] : one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X7),one_one(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6586_gcd_Obottom__right__bottom)).
% 59.09/9.98  tff(f88146,plain,(
% 59.09/9.98    spl2737_3297),
% 59.09/9.98    inference(avatar_split_clause,[],[f37170,f88144])).
% 59.09/9.98  tff(f88144,plain,(
% 59.09/9.98    spl2737_3297 <=> ! [X0 : $tType,X3 : real,X2 : real,X1 : X0] : (X2 = X3 | real_V8093663219630862766scaleR(X0,X2,X1) != real_V8093663219630862766scaleR(X0,X3,X1) | zero_zero(X0) = X1 | ~real_V4867850818363320053vector(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3297])])).
% 59.09/9.98  tff(f37170,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : real,X3 : real,X1 : X0] : (X2 = X3 | real_V8093663219630862766scaleR(X0,X2,X1) != real_V8093663219630862766scaleR(X0,X3,X1) | zero_zero(X0) = X1 | ~real_V4867850818363320053vector(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18965])).
% 59.09/9.98  tff(f18965,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : real,X3 : real] : (X2 = X3 | real_V8093663219630862766scaleR(X0,X2,X1) != real_V8093663219630862766scaleR(X0,X3,X1) | zero_zero(X0) = X1) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.98    inference(flattening,[],[f18964])).
% 59.09/9.98  tff(f18964,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : real,X3 : real] : ((X2 = X3 | real_V8093663219630862766scaleR(X0,X2,X1) != real_V8093663219630862766scaleR(X0,X3,X1)) | zero_zero(X0) = X1) | ~real_V4867850818363320053vector(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10971])).
% 59.09/9.98  tff(f10971,plain,(
% 59.09/9.98    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0,X2 : real,X3 : real] : (zero_zero(X0) != X1 => (real_V8093663219630862766scaleR(X0,X2,X1) = real_V8093663219630862766scaleR(X0,X3,X1) => X2 = X3)))),
% 59.09/9.98    inference(rectify,[],[f3952])).
% 59.09/9.98  tff(f3952,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X14 : X0,X7 : real,X49 : real] : (zero_zero(X0) != X14 => (real_V8093663219630862766scaleR(X0,X7,X14) = real_V8093663219630862766scaleR(X0,X49,X14) => X7 = X49)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3951_scaleR__right__imp__eq)).
% 59.09/9.98  tff(f88140,plain,(
% 59.09/9.98    spl2737_3296 | ~spl2737_3295),
% 59.09/9.98    inference(avatar_split_clause,[],[f88136,f88133,f88138])).
% 59.09/9.98  tff(f88138,plain,(
% 59.09/9.98    spl2737_3296 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3296])])).
% 59.09/9.98  tff(f88133,plain,(
% 59.09/9.98    spl2737_3295 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3295])])).
% 59.09/9.98  tff(f88136,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_3295),
% 59.09/9.98    inference(forward_demodulation,[],[f88134,f50171])).
% 59.09/9.98  tff(f88134,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_3295),
% 59.09/9.98    inference(avatar_component_clause,[],[f88133])).
% 59.09/9.98  tff(f88135,plain,(
% 59.09/9.98    spl2737_3295),
% 59.09/9.98    inference(avatar_split_clause,[],[f36971,f88133])).
% 59.09/9.98  tff(f36971,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18833])).
% 59.09/9.98  tff(f18833,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10859])).
% 59.09/9.98  tff(f10859,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f3358])).
% 59.09/9.98  tff(f3358,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X14 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X14))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3357_bit_Oconj__zero__left)).
% 59.09/9.98  tff(f88129,plain,(
% 59.09/9.98    spl2737_3294 | ~spl2737_3293),
% 59.09/9.98    inference(avatar_split_clause,[],[f88125,f88122,f88127])).
% 59.09/9.98  tff(f88127,plain,(
% 59.09/9.98    spl2737_3294 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3294])])).
% 59.09/9.98  tff(f88122,plain,(
% 59.09/9.98    spl2737_3293 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3293])])).
% 59.09/9.98  tff(f88125,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344872417868541ns_and(X0),zero_zero(X0)),X1) | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_3293),
% 59.09/9.98    inference(forward_demodulation,[],[f88123,f50171])).
% 59.09/9.98  tff(f88123,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_3293),
% 59.09/9.98    inference(avatar_component_clause,[],[f88122])).
% 59.09/9.98  tff(f88124,plain,(
% 59.09/9.98    spl2737_3293),
% 59.09/9.98    inference(avatar_split_clause,[],[f36970,f88122])).
% 59.09/9.98  tff(f36970,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18832])).
% 59.09/9.98  tff(f18832,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10858])).
% 59.09/9.98  tff(f10858,plain,(
% 59.09/9.98    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X1),zero_zero(X0)))),
% 59.09/9.98    inference(rectify,[],[f3357])).
% 59.09/9.98  tff(f3357,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X14 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344872417868541ns_and(X0),X14),zero_zero(X0)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3356_bit_Oconj__zero__right)).
% 59.09/9.98  tff(f88120,plain,(
% 59.09/9.98    spl2737_3292),
% 59.09/9.98    inference(avatar_split_clause,[],[f36718,f88118])).
% 59.09/9.98  tff(f88118,plain,(
% 59.09/9.98    spl2737_3292 <=> ! [X0 : $tType,X1 : X0] : (filterlim(X0,X0,uminus_uminus(X0),topolo7230453075368039082e_nhds(X0,aa(X0,X0,uminus_uminus(X0),X1)),topolo7230453075368039082e_nhds(X0,X1)) | ~topolo1633459387980952147up_add(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3292])])).
% 59.09/9.98  tff(f36718,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (filterlim(X0,X0,uminus_uminus(X0),topolo7230453075368039082e_nhds(X0,aa(X0,X0,uminus_uminus(X0),X1)),topolo7230453075368039082e_nhds(X0,X1)) | ~topolo1633459387980952147up_add(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18646])).
% 59.09/9.98  tff(f18646,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : filterlim(X0,X0,uminus_uminus(X0),topolo7230453075368039082e_nhds(X0,aa(X0,X0,uminus_uminus(X0),X1)),topolo7230453075368039082e_nhds(X0,X1)) | ~topolo1633459387980952147up_add(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10711])).
% 59.09/9.98  tff(f10711,plain,(
% 59.09/9.98    ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X1 : X0] : filterlim(X0,X0,uminus_uminus(X0),topolo7230453075368039082e_nhds(X0,aa(X0,X0,uminus_uminus(X0),X1)),topolo7230453075368039082e_nhds(X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f5837])).
% 59.09/9.98  tff(f5837,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X7 : X0] : filterlim(X0,X0,uminus_uminus(X0),topolo7230453075368039082e_nhds(X0,aa(X0,X0,uminus_uminus(X0),X7)),topolo7230453075368039082e_nhds(X0,X7)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5836_tendsto__uminus__nhds)).
% 59.09/9.98  tff(f88116,plain,(
% 59.09/9.98    spl2737_3291),
% 59.09/9.98    inference(avatar_split_clause,[],[f36650,f88114])).
% 59.09/9.98  tff(f88114,plain,(
% 59.09/9.98    spl2737_3291 <=> ! [X0 : $tType,X1 : list(X0)] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X1) | zero_zero(X0) != sK618(X0,X1) | ~canoni5634975068530333245id_add(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3291])])).
% 59.09/9.98  tff(f36650,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : list(X0)] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X1) | zero_zero(X0) != sK618(X0,X1) | ~canoni5634975068530333245id_add(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28088])).
% 59.09/9.98  tff(f28088,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : list(X0)] : ((zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X1) | (zero_zero(X0) != sK618(X0,X1) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK618(X0,X1)),aa(list(X0),set(X0),set2(X0),X1))))) & (! [X3 : X0] : (zero_zero(X0) = X3 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | zero_zero(X0) != aa(list(X0),X0,groups8242544230860333062m_list(X0),X1))) | ~canoni5634975068530333245id_add(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK618])],[f28086,f28087])).
% 59.09/9.98  tff(f28087,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(X0)] : (? [X2 : X0] : (zero_zero(X0) != X2 & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),aa(list(X0),set(X0),set2(X0),X1)))) => (zero_zero(X0) != sK618(X0,X1) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK618(X0,X1)),aa(list(X0),set(X0),set2(X0),X1)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f28086,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : list(X0)] : ((zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X1) | ? [X2 : X0] : (zero_zero(X0) != X2 & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),aa(list(X0),set(X0),set2(X0),X1))))) & (! [X3 : X0] : (zero_zero(X0) = X3 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | zero_zero(X0) != aa(list(X0),X0,groups8242544230860333062m_list(X0),X1))) | ~canoni5634975068530333245id_add(X0))),
% 59.09/9.98    inference(rectify,[],[f28085])).
% 59.09/9.98  tff(f28085,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : list(X0)] : ((zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X1) | ? [X2 : X0] : (zero_zero(X0) != X2 & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),aa(list(X0),set(X0),set2(X0),X1))))) & (! [X2 : X0] : (zero_zero(X0) = X2 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),aa(list(X0),set(X0),set2(X0),X1)))) | zero_zero(X0) != aa(list(X0),X0,groups8242544230860333062m_list(X0),X1))) | ~canoni5634975068530333245id_add(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f18589])).
% 59.09/9.98  tff(f18589,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : list(X0)] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X1) <=> ! [X2 : X0] : (zero_zero(X0) = X2 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),aa(list(X0),set(X0),set2(X0),X1))))) | ~canoni5634975068530333245id_add(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10661])).
% 59.09/9.98  tff(f10661,plain,(
% 59.09/9.98    ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : list(X0)] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X1) <=> ! [X2 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),aa(list(X0),set(X0),set2(X0),X1))) => zero_zero(X0) = X2)))),
% 59.09/9.98    inference(rectify,[],[f5172])).
% 59.09/9.98  tff(f5172,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X246 : list(X0)] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),X246) <=> ! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X246))) => zero_zero(X0) = X115)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5171_sum__list__eq__0__iff)).
% 59.09/9.98  tff(f88109,plain,(
% 59.09/9.98    spl2737_3290 | ~spl2737_3289),
% 59.09/9.98    inference(avatar_split_clause,[],[f88105,f88102,f88107])).
% 59.09/9.98  tff(f88107,plain,(
% 59.09/9.98    spl2737_3290 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X1),zero_zero(X0)) | ~comm_monoid_diff(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3290])])).
% 59.09/9.98  tff(f88102,plain,(
% 59.09/9.98    spl2737_3289 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1) | ~comm_monoid_diff(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3289])])).
% 59.09/9.98  tff(f88105,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X1),zero_zero(X0)) | ~comm_monoid_diff(X0)) ) | ~spl2737_3289),
% 59.09/9.98    inference(forward_demodulation,[],[f88103,f50171])).
% 59.09/9.98  tff(f88103,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1) | ~comm_monoid_diff(X0)) ) | ~spl2737_3289),
% 59.09/9.98    inference(avatar_component_clause,[],[f88102])).
% 59.09/9.98  tff(f88104,plain,(
% 59.09/9.98    spl2737_3289),
% 59.09/9.98    inference(avatar_split_clause,[],[f36531,f88102])).
% 59.09/9.98  tff(f36531,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1) | ~comm_monoid_diff(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18516])).
% 59.09/9.98  tff(f18516,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1) | ~comm_monoid_diff(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10594])).
% 59.09/9.98  tff(f10594,plain,(
% 59.09/9.98    ! [X0 : $tType] : (comm_monoid_diff(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f107])).
% 59.09/9.98  tff(f107,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (comm_monoid_diff(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),zero_zero(X0)),X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_zero__diff)).
% 59.09/9.98  tff(f88091,plain,(
% 59.09/9.98    spl2737_3288 | ~spl2737_3287),
% 59.09/9.98    inference(avatar_split_clause,[],[f88087,f88084,f88089])).
% 59.09/9.98  tff(f88089,plain,(
% 59.09/9.98    spl2737_3288 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),one_one(X0)),X1),X1) | ~ring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3288])])).
% 59.09/9.98  tff(f88084,plain,(
% 59.09/9.98    spl2737_3287 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0)),X1) | ~ring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3287])])).
% 59.09/9.98  tff(f88087,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),one_one(X0)),X1),X1) | ~ring_gcd(X0)) ) | ~spl2737_3287),
% 59.09/9.98    inference(forward_demodulation,[],[f88085,f50171])).
% 59.09/9.98  tff(f88085,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0)),X1) | ~ring_gcd(X0)) ) | ~spl2737_3287),
% 59.09/9.98    inference(avatar_component_clause,[],[f88084])).
% 59.09/9.98  tff(f88086,plain,(
% 59.09/9.98    spl2737_3287),
% 59.09/9.98    inference(avatar_split_clause,[],[f36425,f88084])).
% 59.09/9.98  tff(f36425,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0)),X1) | ~ring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18445])).
% 59.09/9.98  tff(f18445,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0)),X1) | ~ring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10538])).
% 59.09/9.98  tff(f10538,plain,(
% 59.09/9.98    ! [X0 : $tType] : (ring_gcd(X0) => ! [X1 : X0] : algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0)),X1))),
% 59.09/9.98    inference(rectify,[],[f6830])).
% 59.09/9.98  tff(f6830,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (ring_gcd(X0) => ! [X7 : X0] : algebr8660921524188924756oprime(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X7),one_one(X0)),X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6829_coprime__diff__one__left)).
% 59.09/9.98  tff(f88073,plain,(
% 59.09/9.98    spl2737_3286 | ~spl2737_3285),
% 59.09/9.98    inference(avatar_split_clause,[],[f88069,f88066,f88071])).
% 59.09/9.98  tff(f88071,plain,(
% 59.09/9.98    spl2737_3286 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),one_one(X0)),X1)) | ~ring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3286])])).
% 59.09/9.98  tff(f88066,plain,(
% 59.09/9.98    spl2737_3285 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0))) | ~ring_gcd(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3285])])).
% 59.09/9.98  tff(f88069,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),one_one(X0)),X1)) | ~ring_gcd(X0)) ) | ~spl2737_3285),
% 59.09/9.98    inference(forward_demodulation,[],[f88067,f50171])).
% 59.09/9.98  tff(f88067,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0))) | ~ring_gcd(X0)) ) | ~spl2737_3285),
% 59.09/9.98    inference(avatar_component_clause,[],[f88066])).
% 59.09/9.98  tff(f88068,plain,(
% 59.09/9.98    spl2737_3285),
% 59.09/9.98    inference(avatar_split_clause,[],[f36424,f88066])).
% 59.09/9.98  tff(f36424,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0))) | ~ring_gcd(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18444])).
% 59.09/9.98  tff(f18444,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0))) | ~ring_gcd(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10537])).
% 59.09/9.98  tff(f10537,plain,(
% 59.09/9.98    ! [X0 : $tType] : (ring_gcd(X0) => ! [X1 : X0] : algebr8660921524188924756oprime(X0,X1,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),one_one(X0))))),
% 59.09/9.98    inference(rectify,[],[f6829])).
% 59.09/9.98  tff(f6829,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (ring_gcd(X0) => ! [X7 : X0] : algebr8660921524188924756oprime(X0,X7,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X7),one_one(X0))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6828_coprime__doff__one__right)).
% 59.09/9.98  tff(f88052,plain,(
% 59.09/9.98    spl2737_3284 | ~spl2737_3283),
% 59.09/9.98    inference(avatar_split_clause,[],[f88048,f88045,f88050])).
% 59.09/9.98  tff(f88045,plain,(
% 59.09/9.98    spl2737_3283 <=> ! [X0 : num] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),aa(num,int,pos,X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3283])])).
% 59.09/9.98  tff(f88048,plain,(
% 59.09/9.98    ( ! [X0 : num] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),aa(num,int,pos,X0)),zero_zero(int)))) ) | ~spl2737_3283),
% 59.09/9.98    inference(forward_demodulation,[],[f88046,f50171])).
% 59.09/9.98  tff(f88046,plain,(
% 59.09/9.98    ( ! [X0 : num] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),aa(num,int,pos,X0)))) ) | ~spl2737_3283),
% 59.09/9.98    inference(avatar_component_clause,[],[f88045])).
% 59.09/9.98  tff(f88047,plain,(
% 59.09/9.98    spl2737_3283),
% 59.09/9.98    inference(avatar_split_clause,[],[f36026,f88045])).
% 59.09/9.98  tff(f36026,plain,(
% 59.09/9.98    ( ! [X0 : num] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),aa(num,int,pos,X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10186])).
% 59.09/9.98  tff(f10186,plain,(
% 59.09/9.98    ! [X0 : num] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),aa(num,int,pos,X0)))),
% 59.09/9.98    inference(rectify,[],[f8021])).
% 59.09/9.98  tff(f8021,axiom,(
% 59.09/9.98    ! [X51 : num] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),aa(num,int,pos,X51)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8020_less__int__code_I2_J)).
% 59.09/9.98  tff(f88032,plain,(
% 59.09/9.98    spl2737_3282 | ~spl2737_3281),
% 59.09/9.98    inference(avatar_split_clause,[],[f88028,f88025,f88030])).
% 59.09/9.98  tff(f88025,plain,(
% 59.09/9.98    spl2737_3281 <=> ! [X0 : num] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),aa(num,int,pos,X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3281])])).
% 59.09/9.98  tff(f88028,plain,(
% 59.09/9.98    ( ! [X0 : num] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),aa(num,int,pos,X0)),zero_zero(int)))) ) | ~spl2737_3281),
% 59.09/9.98    inference(forward_demodulation,[],[f88026,f50171])).
% 59.09/9.98  tff(f88026,plain,(
% 59.09/9.98    ( ! [X0 : num] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),aa(num,int,pos,X0)))) ) | ~spl2737_3281),
% 59.09/9.98    inference(avatar_component_clause,[],[f88025])).
% 59.09/9.98  tff(f88027,plain,(
% 59.09/9.98    spl2737_3281),
% 59.09/9.98    inference(avatar_split_clause,[],[f36025,f88025])).
% 59.09/9.98  tff(f36025,plain,(
% 59.09/9.98    ( ! [X0 : num] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),aa(num,int,pos,X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10185])).
% 59.09/9.98  tff(f10185,plain,(
% 59.09/9.98    ! [X0 : num] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),aa(num,int,pos,X0)))),
% 59.09/9.98    inference(rectify,[],[f8026])).
% 59.09/9.98  tff(f8026,axiom,(
% 59.09/9.98    ! [X51 : num] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),aa(num,int,pos,X51)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8025_less__eq__int__code_I2_J)).
% 59.09/9.98  tff(f88023,plain,(
% 59.09/9.98    spl2737_3280),
% 59.09/9.98    inference(avatar_split_clause,[],[f36023,f88021])).
% 59.09/9.98  tff(f88021,plain,(
% 59.09/9.98    spl2737_3280 <=> ! [X0 : int] : aa(int,nat,aTP_Lamp_ml(int,nat),X0) = aa(int,nat,nat2,aa(int,int,abs_abs(int),X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3280])])).
% 59.09/9.98  tff(f88019,plain,(
% 59.09/9.98    spl2737_3279),
% 59.09/9.98    inference(avatar_split_clause,[],[f36022,f88017])).
% 59.09/9.98  tff(f88017,plain,(
% 59.09/9.98    spl2737_3279 <=> ! [X0 : nat] : image(nat,nat,suc,set_ord_atMost(nat,X0)) = set_or1337092689740270186AtMost(nat,one_one(nat),aa(nat,nat,suc,X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3279])])).
% 59.09/9.98  tff(f36022,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (image(nat,nat,suc,set_ord_atMost(nat,X0)) = set_or1337092689740270186AtMost(nat,one_one(nat),aa(nat,nat,suc,X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10182])).
% 59.09/9.98  tff(f10182,plain,(
% 59.09/9.98    ! [X0 : nat] : image(nat,nat,suc,set_ord_atMost(nat,X0)) = set_or1337092689740270186AtMost(nat,one_one(nat),aa(nat,nat,suc,X0))),
% 59.09/9.98    inference(rectify,[],[f4933])).
% 59.09/9.98  tff(f4933,axiom,(
% 59.09/9.98    ! [X8 : nat] : image(nat,nat,suc,set_ord_atMost(nat,X8)) = set_or1337092689740270186AtMost(nat,one_one(nat),aa(nat,nat,suc,X8))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4932_image__Suc__atMost)).
% 59.09/9.98  tff(f87991,plain,(
% 59.09/9.98    spl2737_3278 | ~spl2737_113 | ~spl2737_998 | ~spl2737_2328 | ~spl2737_3277),
% 59.09/9.98    inference(avatar_split_clause,[],[f87987,f87984,f77589,f69366,f64784,f87989])).
% 59.09/9.98  tff(f87989,plain,(
% 59.09/9.98    spl2737_3278 <=> ! [X0 : complex] : aa(complex,complex,sgn_sgn(complex),X0) = real_V8093663219630862766scaleR(complex,divide_divide(real,im(imaginary_unit),real_V7770717601297561774m_norm(complex,X0)),X0)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3278])])).
% 59.09/9.98  tff(f87984,plain,(
% 59.09/9.98    spl2737_3277 <=> ! [X0 : complex] : aa(complex,complex,sgn_sgn(complex),X0) = real_V8093663219630862766scaleR(complex,aa(real,real,inverse_inverse(real),real_V7770717601297561774m_norm(complex,X0)),X0)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3277])])).
% 59.09/9.98  tff(f87987,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (aa(complex,complex,sgn_sgn(complex),X0) = real_V8093663219630862766scaleR(complex,divide_divide(real,im(imaginary_unit),real_V7770717601297561774m_norm(complex,X0)),X0)) ) | (~spl2737_113 | ~spl2737_998 | ~spl2737_2328 | ~spl2737_3277)),
% 59.09/9.98    inference(forward_demodulation,[],[f87985,f78425])).
% 59.09/9.98  tff(f87985,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (aa(complex,complex,sgn_sgn(complex),X0) = real_V8093663219630862766scaleR(complex,aa(real,real,inverse_inverse(real),real_V7770717601297561774m_norm(complex,X0)),X0)) ) | ~spl2737_3277),
% 59.09/9.98    inference(avatar_component_clause,[],[f87984])).
% 59.09/9.98  tff(f87986,plain,(
% 59.09/9.98    spl2737_3277),
% 59.09/9.98    inference(avatar_split_clause,[],[f36020,f87984])).
% 59.09/9.98  tff(f36020,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (aa(complex,complex,sgn_sgn(complex),X0) = real_V8093663219630862766scaleR(complex,aa(real,real,inverse_inverse(real),real_V7770717601297561774m_norm(complex,X0)),X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10180])).
% 59.09/9.98  tff(f10180,plain,(
% 59.09/9.98    ! [X0 : complex] : aa(complex,complex,sgn_sgn(complex),X0) = real_V8093663219630862766scaleR(complex,aa(real,real,inverse_inverse(real),real_V7770717601297561774m_norm(complex,X0)),X0)),
% 59.09/9.98    inference(rectify,[],[f3968])).
% 59.09/9.98  tff(f3968,axiom,(
% 59.09/9.98    ! [X14 : complex] : aa(complex,complex,sgn_sgn(complex),X14) = real_V8093663219630862766scaleR(complex,aa(real,real,inverse_inverse(real),real_V7770717601297561774m_norm(complex,X14)),X14)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3967_complex__sgn__def)).
% 59.09/9.98  tff(f87977,plain,(
% 59.09/9.98    spl2737_3276 | ~spl2737_3275),
% 59.09/9.98    inference(avatar_split_clause,[],[f87973,f87970,f87975])).
% 59.09/9.98  tff(f87975,plain,(
% 59.09/9.98    spl2737_3276 <=> ! [X0 : num] : ~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),aa(num,int,pos,X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3276])])).
% 59.09/9.98  tff(f87970,plain,(
% 59.09/9.98    spl2737_3275 <=> ! [X0 : num] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(num,int,pos,X0)),zero_zero(int)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3275])])).
% 59.09/9.98  tff(f87973,plain,(
% 59.09/9.98    ( ! [X0 : num] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),aa(num,int,pos,X0)))) ) | ~spl2737_3275),
% 59.09/9.98    inference(forward_demodulation,[],[f87971,f50171])).
% 59.09/9.98  tff(f87971,plain,(
% 59.09/9.98    ( ! [X0 : num] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(num,int,pos,X0)),zero_zero(int)))) ) | ~spl2737_3275),
% 59.09/9.98    inference(avatar_component_clause,[],[f87970])).
% 59.09/9.98  tff(f87972,plain,(
% 59.09/9.98    spl2737_3275),
% 59.09/9.98    inference(avatar_split_clause,[],[f36014,f87970])).
% 59.09/9.98  tff(f36014,plain,(
% 59.09/9.98    ( ! [X0 : num] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(num,int,pos,X0)),zero_zero(int)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10174])).
% 59.09/9.98  tff(f10174,plain,(
% 59.09/9.98    ! [X0 : num] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(num,int,pos,X0)),zero_zero(int)))),
% 59.09/9.98    inference(rectify,[],[f8020])).
% 59.09/9.98  tff(f8020,axiom,(
% 59.09/9.98    ! [X18 : num] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(num,int,pos,X18)),zero_zero(int)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8019_less__int__code_I4_J)).
% 59.09/9.98  tff(f87963,plain,(
% 59.09/9.98    spl2737_3274 | ~spl2737_3273),
% 59.09/9.98    inference(avatar_split_clause,[],[f87959,f87956,f87961])).
% 59.09/9.98  tff(f87961,plain,(
% 59.09/9.98    spl2737_3274 <=> ! [X0 : num] : ~pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),aa(num,int,pos,X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3274])])).
% 59.09/9.98  tff(f87956,plain,(
% 59.09/9.98    spl2737_3273 <=> ! [X0 : num] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),aa(num,int,pos,X0)),zero_zero(int)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3273])])).
% 59.09/9.98  tff(f87959,plain,(
% 59.09/9.98    ( ! [X0 : num] : (~pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),aa(num,int,pos,X0)))) ) | ~spl2737_3273),
% 59.09/9.98    inference(forward_demodulation,[],[f87957,f50171])).
% 59.09/9.98  tff(f87957,plain,(
% 59.09/9.98    ( ! [X0 : num] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),aa(num,int,pos,X0)),zero_zero(int)))) ) | ~spl2737_3273),
% 59.09/9.98    inference(avatar_component_clause,[],[f87956])).
% 59.09/9.98  tff(f87958,plain,(
% 59.09/9.98    spl2737_3273),
% 59.09/9.98    inference(avatar_split_clause,[],[f36013,f87956])).
% 59.09/9.98  tff(f36013,plain,(
% 59.09/9.98    ( ! [X0 : num] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),aa(num,int,pos,X0)),zero_zero(int)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10173])).
% 59.09/9.98  tff(f10173,plain,(
% 59.09/9.98    ! [X0 : num] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),aa(num,int,pos,X0)),zero_zero(int)))),
% 59.09/9.98    inference(rectify,[],[f8027])).
% 59.09/9.98  tff(f8027,axiom,(
% 59.09/9.98    ! [X18 : num] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),aa(num,int,pos,X18)),zero_zero(int)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8026_less__eq__int__code_I4_J)).
% 59.09/9.98  tff(f87954,plain,(
% 59.09/9.98    spl2737_3272),
% 59.09/9.98    inference(avatar_split_clause,[],[f35557,f87951])).
% 59.09/9.98  tff(f87951,plain,(
% 59.09/9.98    spl2737_3272 <=> top_top(set(product_prod(nat,nat))) = image(nat,product_prod(nat,nat),nat_prod_decode,top_top(set(nat)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3272])])).
% 59.09/9.98  tff(f35557,plain,(
% 59.09/9.98    top_top(set(product_prod(nat,nat))) = image(nat,product_prod(nat,nat),nat_prod_decode,top_top(set(nat)))),
% 59.09/9.98    inference(cnf_transformation,[],[f7119])).
% 59.09/9.98  tff(f7119,axiom,(
% 59.09/9.98    top_top(set(product_prod(nat,nat))) = image(nat,product_prod(nat,nat),nat_prod_decode,top_top(set(nat)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7118_surj__prod__decode)).
% 59.09/9.98  tff(f87949,plain,(
% 59.09/9.98    spl2737_3271),
% 59.09/9.98    inference(avatar_split_clause,[],[f35556,f87946])).
% 59.09/9.98  tff(f87946,plain,(
% 59.09/9.98    spl2737_3271 <=> top_top(set(sum_sum(nat,nat))) = image(nat,sum_sum(nat,nat),nat_sum_decode,top_top(set(nat)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3271])])).
% 59.09/9.98  tff(f35556,plain,(
% 59.09/9.98    top_top(set(sum_sum(nat,nat))) = image(nat,sum_sum(nat,nat),nat_sum_decode,top_top(set(nat)))),
% 59.09/9.98    inference(cnf_transformation,[],[f8092])).
% 59.09/9.98  tff(f8092,axiom,(
% 59.09/9.98    top_top(set(sum_sum(nat,nat))) = image(nat,sum_sum(nat,nat),nat_sum_decode,top_top(set(nat)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8091_surj__sum__decode)).
% 59.09/9.98  tff(f87944,plain,(
% 59.09/9.98    spl2737_3270),
% 59.09/9.98    inference(avatar_split_clause,[],[f35554,f87941])).
% 59.09/9.98  tff(f87941,plain,(
% 59.09/9.98    spl2737_3270 <=> pred_nat = collect(product_prod(nat,nat),product_case_prod(nat,nat,bool,aTP_Lamp_adc(nat,fun(nat,bool))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3270])])).
% 59.09/9.98  tff(f35554,plain,(
% 59.09/9.98    pred_nat = collect(product_prod(nat,nat),product_case_prod(nat,nat,bool,aTP_Lamp_adc(nat,fun(nat,bool))))),
% 59.09/9.98    inference(cnf_transformation,[],[f7069])).
% 59.09/9.98  tff(f7069,axiom,(
% 59.09/9.98    pred_nat = collect(product_prod(nat,nat),product_case_prod(nat,nat,bool,aTP_Lamp_adc(nat,fun(nat,bool))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7068_pred__nat__def)).
% 59.09/9.98  tff(f85763,plain,(
% 59.09/9.98    spl2737_3269),
% 59.09/9.98    inference(avatar_split_clause,[],[f64195,f85761])).
% 59.09/9.98  tff(f85761,plain,(
% 59.09/9.98    spl2737_3269 <=> ! [X5 : bool,X4 : bool,X2 : bool,X7 : bool,X0 : bool,X6 : bool,X3 : bool,X1 : bool] : size_num(one2) = aa(char,nat,size_size(char),char2(X0,X1,X2,X3,X4,X5,X6,X7))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3269])])).
% 59.09/9.98  tff(f64195,plain,(
% 59.09/9.98    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool,X6 : bool,X7 : bool,X4 : bool,X5 : bool] : (size_num(one2) = aa(char,nat,size_size(char),char2(X0,X1,X2,X3,X4,X5,X6,X7))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f50473,f35397])).
% 59.09/9.98  tff(f50473,plain,(
% 59.09/9.98    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool,X6 : bool,X7 : bool,X4 : bool,X5 : bool] : (zero_zero(nat) = aa(char,nat,size_size(char),char2(X0,X1,X2,X3,X4,X5,X6,X7))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18335])).
% 59.09/9.98  tff(f18335,plain,(
% 59.09/9.98    ! [X0 : bool,X1 : bool,X2 : bool,X3 : bool,X4 : bool,X5 : bool,X6 : bool,X7 : bool] : zero_zero(nat) = aa(char,nat,size_size(char),char2(X0,X1,X2,X3,X4,X5,X6,X7))),
% 59.09/9.98    inference(rectify,[],[f7267])).
% 59.09/9.98  tff(f7267,axiom,(
% 59.09/9.98    ! [X333 : bool,X10 : bool,X165 : bool,X334 : bool,X335 : bool,X336 : bool,X337 : bool,X338 : bool] : zero_zero(nat) = aa(char,nat,size_size(char),char2(X333,X10,X165,X334,X335,X336,X337,X338))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7266_char_Osize_I2_J)).
% 59.09/9.98  tff(f85759,plain,(
% 59.09/9.98    spl2737_3268),
% 59.09/9.98    inference(avatar_split_clause,[],[f64131,f85757])).
% 59.09/9.98  tff(f85757,plain,(
% 59.09/9.98    spl2737_3268 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK2721(X0)),sK2720(X0))) | ~sP564(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3268])])).
% 59.09/9.98  tff(f64131,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK2721(X0)),sK2720(X0))) | ~sP564(X0,X1,X2)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f50452,f50171])).
% 59.09/9.98  tff(f50452,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2720(X0)),sK2721(X0))) | ~sP564(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f34514])).
% 59.09/9.98  tff(f34514,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2720(X0)),sK2721(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2720(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2) | ~sP564(X0,X1,X2))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2720,sK2721])],[f34511,f34513,f34512])).
% 59.09/9.98  tff(f34512,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) => (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2720(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2720(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f34513,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2720(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2720(X0)),sK2721(X0))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f34511,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2) | ~sP564(X0,X1,X2))),
% 59.09/9.98    inference(rectify,[],[f34510])).
% 59.09/9.98  tff(f34510,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X10),X11)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X5 = X6) | ~sP564(X0,X6,X5))),
% 59.09/9.98    inference(nnf_transformation,[],[f27942])).
% 59.09/9.98  tff(f27942,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X10),X11)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X5 = X6) | ~sP564(X0,X6,X5))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP564])])).
% 59.09/9.98  tff(f85755,plain,(
% 59.09/9.98    spl2737_3267),
% 59.09/9.98    inference(avatar_split_clause,[],[f64070,f85753])).
% 59.09/9.98  tff(f85753,plain,(
% 59.09/9.98    spl2737_3267 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK2714(X0)),sK2713(X0))) | ~sP560(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3267])])).
% 59.09/9.98  tff(f64070,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK2714(X0)),sK2713(X0))) | ~sP560(X0,X1,X2)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f50437,f50171])).
% 59.09/9.98  tff(f50437,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2713(X0)),sK2714(X0))) | ~sP560(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f34493])).
% 59.09/9.98  tff(f34493,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2713(X0)),sK2714(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2713(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2) | ~sP560(X0,X1,X2))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2713,sK2714])],[f34490,f34492,f34491])).
% 59.09/9.98  tff(f34491,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT)] : (? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) => (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2713(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2713(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f34492,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2713(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2713(X0)),sK2714(X0))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f34490,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((? [X3 : vEBT_VEBT] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X3),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2) | ~sP560(X0,X1,X2))),
% 59.09/9.98    inference(rectify,[],[f34489])).
% 59.09/9.98  tff(f34489,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X10),X11)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X5 = X6) | ~sP560(X0,X6,X5))),
% 59.09/9.98    inference(nnf_transformation,[],[f27937])).
% 59.09/9.98  tff(f27937,plain,(
% 59.09/9.98    ! [X0 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((? [X10 : vEBT_VEBT] : (? [X11 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X10),X11)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X5 = X6) | ~sP560(X0,X6,X5))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP560])])).
% 59.09/9.98  tff(f85751,plain,(
% 59.09/9.98    spl2737_3266),
% 59.09/9.98    inference(avatar_split_clause,[],[f62205,f85749])).
% 59.09/9.98  tff(f85749,plain,(
% 59.09/9.98    spl2737_3266 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (size_num(one2) = X2 | sP476(X0,X2,X1) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3266])])).
% 59.09/9.98  tff(f62205,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (size_num(one2) = X2 | sP476(X0,X2,X1) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2)))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f48561,f35397])).
% 59.09/9.98  tff(f48561,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP476(X0,X2,X1) | zero_zero(nat) = X2 | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33375])).
% 59.09/9.98  tff(f33375,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | (~sP476(X0,X2,X1) & (~pp(aa(nat,bool,X0,zero_zero(nat))) | zero_zero(nat) != X2))) & (sP476(X0,X2,X1) | (pp(aa(nat,bool,X0,zero_zero(nat))) & zero_zero(nat) = X2) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2)))))),
% 59.09/9.98    inference(flattening,[],[f33374])).
% 59.09/9.98  tff(f33374,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | (~sP476(X0,X2,X1) & (~pp(aa(nat,bool,X0,zero_zero(nat))) | zero_zero(nat) != X2))) & ((sP476(X0,X2,X1) | (pp(aa(nat,bool,X0,zero_zero(nat))) & zero_zero(nat) = X2)) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2)))))),
% 59.09/9.98    inference(nnf_transformation,[],[f27794])).
% 59.09/9.98  tff(f27794,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) <=> (sP476(X0,X2,X1) | (pp(aa(nat,bool,X0,zero_zero(nat))) & zero_zero(nat) = X2)))),
% 59.09/9.98    inference(definition_folding,[],[f17465,f27793])).
% 59.09/9.98  tff(f27793,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X2 : nat,X1 : nat] : (sP476(X0,X2,X1) <=> ? [X3 : nat] : (pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP476])])).
% 59.09/9.98  tff(f17465,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) <=> (? [X3 : nat] : (pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1))) | (pp(aa(nat,bool,X0,zero_zero(nat))) & zero_zero(nat) = X2)))),
% 59.09/9.98    inference(rectify,[],[f1352])).
% 59.09/9.98  tff(f1352,axiom,(
% 59.09/9.98    ! [X17 : fun(nat,bool),X9 : nat,X8 : nat] : (pp(aa(nat,bool,X17,divide_divide(nat,X9,X8))) <=> (? [X142 : nat] : (pp(aa(nat,bool,X17,X142)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X9),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),aa(nat,nat,suc,X142)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),X142)),X9))) | (pp(aa(nat,bool,X17,zero_zero(nat))) & zero_zero(nat) = X8)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1351_split__div_H)).
% 59.09/9.98  tff(f85747,plain,(
% 59.09/9.98    spl2737_3265),
% 59.09/9.98    inference(avatar_split_clause,[],[f62193,f85745])).
% 59.09/9.98  tff(f85745,plain,(
% 59.09/9.98    spl2737_3265 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (size_num(one2) = X2 | pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | ~sP475(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3265])])).
% 59.09/9.98  tff(f62193,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (size_num(one2) = X2 | pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | ~sP475(X0,X1,X2)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f48555,f35397])).
% 59.09/9.98  tff(f48555,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | ~sP475(X0,X1,X2) | zero_zero(nat) = X2) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33369])).
% 59.09/9.98  tff(f33369,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | ~sP475(X0,X1,X2) | (~pp(aa(nat,bool,X0,zero_zero(nat))) & zero_zero(nat) = X2)) & ((sP475(X0,X1,X2) & (pp(aa(nat,bool,X0,zero_zero(nat))) | zero_zero(nat) != X2)) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2)))))),
% 59.09/9.98    inference(flattening,[],[f33368])).
% 59.09/9.98  tff(f33368,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | (~sP475(X0,X1,X2) | (~pp(aa(nat,bool,X0,zero_zero(nat))) & zero_zero(nat) = X2))) & ((sP475(X0,X1,X2) & (pp(aa(nat,bool,X0,zero_zero(nat))) | zero_zero(nat) != X2)) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2)))))),
% 59.09/9.98    inference(nnf_transformation,[],[f27792])).
% 59.09/9.98  tff(f27792,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) <=> (sP475(X0,X1,X2) & (pp(aa(nat,bool,X0,zero_zero(nat))) | zero_zero(nat) != X2)))),
% 59.09/9.98    inference(definition_folding,[],[f26296,f27791])).
% 59.09/9.98  tff(f27791,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (sP475(X0,X1,X2) <=> (! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP475])])).
% 59.09/9.98  tff(f26296,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (pp(aa(nat,bool,X0,zero_zero(nat))) | zero_zero(nat) != X2)))),
% 59.09/9.98    inference(flattening,[],[f26295])).
% 59.09/9.98  tff(f26295,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : ((pp(aa(nat,bool,X0,X3)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (pp(aa(nat,bool,X0,zero_zero(nat))) | zero_zero(nat) != X2)))),
% 59.09/9.98    inference(ennf_transformation,[],[f17464])).
% 59.09/9.98  tff(f17464,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) <=> ((zero_zero(nat) != X2 => ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2)) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 => pp(aa(nat,bool,X0,X3))))) & (zero_zero(nat) = X2 => pp(aa(nat,bool,X0,zero_zero(nat))))))),
% 59.09/9.98    inference(rectify,[],[f1334])).
% 59.09/9.98  tff(f1334,axiom,(
% 59.09/9.98    ! [X17 : fun(nat,bool),X9 : nat,X8 : nat] : (pp(aa(nat,bool,X17,divide_divide(nat,X9,X8))) <=> ((zero_zero(nat) != X8 => ! [X29 : nat,X35 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X35),X8)) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),X29)),X35) = X9 => pp(aa(nat,bool,X17,X29))))) & (zero_zero(nat) = X8 => pp(aa(nat,bool,X17,zero_zero(nat))))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1333_split__div)).
% 59.09/9.98  tff(f85743,plain,(
% 59.09/9.98    spl2737_3264),
% 59.09/9.98    inference(avatar_split_clause,[],[f62184,f85741])).
% 59.09/9.98  tff(f85741,plain,(
% 59.09/9.98    spl2737_3264 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (size_num(one2) = X2 | pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) | ~sP474(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3264])])).
% 59.09/9.98  tff(f62184,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (size_num(one2) = X2 | pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) | ~sP474(X0,X1,X2)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f48546,f35397])).
% 59.09/9.98  tff(f48546,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) | ~sP474(X0,X1,X2) | zero_zero(nat) = X2) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33362])).
% 59.09/9.98  tff(f33362,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) | ~sP474(X0,X1,X2) | (~pp(aa(nat,bool,X0,X1)) & zero_zero(nat) = X2)) & ((sP474(X0,X1,X2) & (pp(aa(nat,bool,X0,X1)) | zero_zero(nat) != X2)) | ~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2)))))),
% 59.09/9.98    inference(flattening,[],[f33361])).
% 59.09/9.98  tff(f33361,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) | (~sP474(X0,X1,X2) | (~pp(aa(nat,bool,X0,X1)) & zero_zero(nat) = X2))) & ((sP474(X0,X1,X2) & (pp(aa(nat,bool,X0,X1)) | zero_zero(nat) != X2)) | ~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2)))))),
% 59.09/9.98    inference(nnf_transformation,[],[f27790])).
% 59.09/9.98  tff(f27790,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) <=> (sP474(X0,X1,X2) & (pp(aa(nat,bool,X0,X1)) | zero_zero(nat) != X2)))),
% 59.09/9.98    inference(definition_folding,[],[f26294,f27789])).
% 59.09/9.98  tff(f27789,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (sP474(X0,X1,X2) <=> (! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X4)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP474])])).
% 59.09/9.98  tff(f26294,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X4)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (pp(aa(nat,bool,X0,X1)) | zero_zero(nat) != X2)))),
% 59.09/9.98    inference(flattening,[],[f26293])).
% 59.09/9.98  tff(f26293,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) <=> ((! [X3 : nat,X4 : nat] : ((pp(aa(nat,bool,X0,X4)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) & (pp(aa(nat,bool,X0,X1)) | zero_zero(nat) != X2)))),
% 59.09/9.98    inference(ennf_transformation,[],[f17463])).
% 59.09/9.98  tff(f17463,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))) <=> ((zero_zero(nat) != X2 => ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2)) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 => pp(aa(nat,bool,X0,X4))))) & (zero_zero(nat) = X2 => pp(aa(nat,bool,X0,X1)))))),
% 59.09/9.98    inference(rectify,[],[f2001])).
% 59.09/9.98  tff(f2001,axiom,(
% 59.09/9.98    ! [X17 : fun(nat,bool),X9 : nat,X8 : nat] : (pp(aa(nat,bool,X17,modulo_modulo(nat,X9,X8))) <=> ((zero_zero(nat) != X8 => ! [X29 : nat,X35 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X35),X8)) => (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),X29)),X35) = X9 => pp(aa(nat,bool,X17,X35))))) & (zero_zero(nat) = X8 => pp(aa(nat,bool,X17,X9)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2000_split__mod)).
% 59.09/9.98  tff(f85739,plain,(
% 59.09/9.98    spl2737_3263),
% 59.09/9.98    inference(avatar_split_clause,[],[f62155,f85737])).
% 59.09/9.98  tff(f85737,plain,(
% 59.09/9.98    spl2737_3263 <=> ! [X0 : $tType,X2 : list(X0),X1 : nat] : (size_num(one2) = X1 | nil(X0) = X2 | nil(X0) != take(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3263])])).
% 59.09/9.98  tff(f62155,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : list(X0),X1 : nat] : (size_num(one2) = X1 | nil(X0) = X2 | nil(X0) != take(X0,X1,X2)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f48489,f35397])).
% 59.09/9.98  tff(f48489,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : list(X0),X1 : nat] : (nil(X0) = X2 | zero_zero(nat) = X1 | nil(X0) != take(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33319])).
% 59.09/9.98  tff(f33319,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : list(X0)] : ((nil(X0) = take(X0,X1,X2) | (nil(X0) != X2 & zero_zero(nat) != X1)) & (nil(X0) = X2 | zero_zero(nat) = X1 | nil(X0) != take(X0,X1,X2)))),
% 59.09/9.98    inference(flattening,[],[f33318])).
% 59.09/9.98  tff(f33318,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : list(X0)] : ((nil(X0) = take(X0,X1,X2) | (nil(X0) != X2 & zero_zero(nat) != X1)) & ((nil(X0) = X2 | zero_zero(nat) = X1) | nil(X0) != take(X0,X1,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f17456])).
% 59.09/9.98  tff(f17456,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : list(X0)] : (nil(X0) = take(X0,X1,X2) <=> (nil(X0) = X2 | zero_zero(nat) = X1))),
% 59.09/9.98    inference(rectify,[],[f5048])).
% 59.09/9.98  tff(f5048,axiom,(
% 59.09/9.98    ! [X0 : $tType,X8 : nat,X123 : list(X0)] : (nil(X0) = take(X0,X8,X123) <=> (nil(X0) = X123 | zero_zero(nat) = X8))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5047_take__eq__Nil2)).
% 59.09/9.98  tff(f85735,plain,(
% 59.09/9.98    spl2737_3262),
% 59.09/9.98    inference(avatar_split_clause,[],[f61030,f85733])).
% 59.09/9.98  tff(f85733,plain,(
% 59.09/9.98    spl2737_3262 <=> ! [X2 : nat,X0 : bool,X1 : nat] : (aa(nat,int,code_T6385005292777649522of_nat,X1) = aa(nat,int,code_T6385005292777649522of_nat,if(nat,X0,X1,X2)) | ~pp(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3262])])).
% 59.09/9.98  tff(f61030,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : bool,X1 : nat] : (aa(nat,int,code_T6385005292777649522of_nat,X1) = aa(nat,int,code_T6385005292777649522of_nat,if(nat,X0,X1,X2)) | ~pp(X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f47281,f35405])).
% 59.09/9.98  tff(f47281,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : bool,X1 : nat] : (aa(nat,int,semiring_1_of_nat(int),X1) = aa(nat,int,semiring_1_of_nat(int),if(nat,X0,X1,X2)) | ~pp(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f25535])).
% 59.09/9.98  tff(f25535,plain,(
% 59.09/9.98    ! [X0 : bool,X1 : nat,X2 : nat] : ((aa(nat,int,semiring_1_of_nat(int),X2) = aa(nat,int,semiring_1_of_nat(int),if(nat,X0,X1,X2)) | pp(X0)) & (aa(nat,int,semiring_1_of_nat(int),X1) = aa(nat,int,semiring_1_of_nat(int),if(nat,X0,X1,X2)) | ~pp(X0)))),
% 59.09/9.98    inference(ennf_transformation,[],[f16938])).
% 59.09/9.98  tff(f16938,plain,(
% 59.09/9.98    ! [X0 : bool,X1 : nat,X2 : nat] : ((~pp(X0) => aa(nat,int,semiring_1_of_nat(int),X2) = aa(nat,int,semiring_1_of_nat(int),if(nat,X0,X1,X2))) & (pp(X0) => aa(nat,int,semiring_1_of_nat(int),X1) = aa(nat,int,semiring_1_of_nat(int),if(nat,X0,X1,X2))))),
% 59.09/9.98    inference(rectify,[],[f274])).
% 59.09/9.98  tff(f274,axiom,(
% 59.09/9.98    ! [X17 : bool,X7 : nat,X49 : nat] : ((~pp(X17) => aa(nat,int,semiring_1_of_nat(int),X49) = aa(nat,int,semiring_1_of_nat(int),if(nat,X17,X7,X49))) & (pp(X17) => aa(nat,int,semiring_1_of_nat(int),X7) = aa(nat,int,semiring_1_of_nat(int),if(nat,X17,X7,X49))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_int__if)).
% 59.09/9.98  tff(f85731,plain,(
% 59.09/9.98    spl2737_3261),
% 59.09/9.98    inference(avatar_split_clause,[],[f61029,f85729])).
% 59.09/9.98  tff(f85729,plain,(
% 59.09/9.98    spl2737_3261 <=> ! [X2 : nat,X0 : bool,X1 : nat] : (aa(nat,int,code_T6385005292777649522of_nat,X2) = aa(nat,int,code_T6385005292777649522of_nat,if(nat,X0,X1,X2)) | pp(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3261])])).
% 59.09/9.98  tff(f61029,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : bool,X1 : nat] : (aa(nat,int,code_T6385005292777649522of_nat,X2) = aa(nat,int,code_T6385005292777649522of_nat,if(nat,X0,X1,X2)) | pp(X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f47282,f35405])).
% 59.09/9.98  tff(f47282,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : bool,X1 : nat] : (aa(nat,int,semiring_1_of_nat(int),X2) = aa(nat,int,semiring_1_of_nat(int),if(nat,X0,X1,X2)) | pp(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f25535])).
% 59.09/9.98  tff(f85727,plain,(
% 59.09/9.98    spl2737_3260),
% 59.09/9.98    inference(avatar_split_clause,[],[f60422,f85724])).
% 59.09/9.98  tff(f85724,plain,(
% 59.09/9.98    spl2737_3260 <=> one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),one_one(nat)),one_one(nat))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3260])])).
% 59.09/9.98  tff(f60422,plain,(
% 59.09/9.98    one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),one_one(nat)),one_one(nat))),
% 59.09/9.98    inference(forward_demodulation,[],[f60421,f54053])).
% 59.09/9.98  tff(f54053,plain,(
% 59.09/9.98    one_one(nat) = aa(nat,nat,suc,size_num(one2))),
% 59.09/9.98    inference(forward_demodulation,[],[f35475,f35397])).
% 59.09/9.98  tff(f35475,plain,(
% 59.09/9.98    aa(nat,nat,suc,zero_zero(nat)) = one_one(nat)),
% 59.09/9.98    inference(cnf_transformation,[],[f415])).
% 59.09/9.98  tff(f415,axiom,(
% 59.09/9.98    aa(nat,nat,suc,zero_zero(nat)) = one_one(nat)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_414_One__nat__def)).
% 59.09/9.98  tff(f60421,plain,(
% 59.09/9.98    aa(nat,nat,suc,size_num(one2)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),aa(nat,nat,suc,size_num(one2))),aa(nat,nat,suc,size_num(one2)))),
% 59.09/9.98    inference(forward_demodulation,[],[f53428,f35397])).
% 59.09/9.98  tff(f53428,plain,(
% 59.09/9.98    aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,zero_zero(nat)))),
% 59.09/9.98    inference(equality_resolution,[],[f53427])).
% 59.09/9.98  tff(f53427,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),aa(nat,nat,suc,zero_zero(nat))) | aa(nat,nat,suc,zero_zero(nat)) != X0) )),
% 59.09/9.98    inference(equality_resolution,[],[f46806])).
% 59.09/9.98  tff(f46806,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1 | aa(nat,nat,suc,zero_zero(nat)) != X0) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32307])).
% 59.09/9.98  tff(f32307,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1 | aa(nat,nat,suc,zero_zero(nat)) != X0) & ((aa(nat,nat,suc,zero_zero(nat)) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1)))),
% 59.09/9.98    inference(flattening,[],[f32306])).
% 59.09/9.98  tff(f32306,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) | (aa(nat,nat,suc,zero_zero(nat)) != X1 | aa(nat,nat,suc,zero_zero(nat)) != X0)) & ((aa(nat,nat,suc,zero_zero(nat)) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f16631])).
% 59.09/9.98  tff(f16631,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) <=> (aa(nat,nat,suc,zero_zero(nat)) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0))),
% 59.09/9.98    inference(rectify,[],[f7601])).
% 59.09/9.98  tff(f7601,axiom,(
% 59.09/9.98    ! [X9 : nat,X8 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X9),X8) <=> (aa(nat,nat,suc,zero_zero(nat)) = X8 & aa(nat,nat,suc,zero_zero(nat)) = X9))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7600_lcm__1__iff__nat)).
% 59.09/9.98  tff(f85722,plain,(
% 59.09/9.98    spl2737_3259),
% 59.09/9.98    inference(avatar_split_clause,[],[f60211,f85720])).
% 59.09/9.98  tff(f85720,plain,(
% 59.09/9.98    spl2737_3259 <=> ! [X0 : real,X1 : real] : (complex2(X0,X1) != rcis(im(imaginary_unit),pi) | aa(real,real,uminus_uminus(real),im(imaginary_unit)) = X0)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3259])])).
% 59.09/9.98  tff(f60211,plain,(
% 59.09/9.98    ( ! [X0 : real,X1 : real] : (complex2(X0,X1) != rcis(im(imaginary_unit),pi) | aa(real,real,uminus_uminus(real),im(imaginary_unit)) = X0) )),
% 59.09/9.98    inference(forward_demodulation,[],[f60210,f54059])).
% 59.09/9.98  tff(f54059,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = rcis(im(imaginary_unit),pi)),
% 59.09/9.98    inference(forward_demodulation,[],[f50522,f35393])).
% 59.09/9.98  tff(f50522,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = rcis(one_one(real),pi)),
% 59.09/9.98    inference(definition_unfolding,[],[f35486,f35787])).
% 59.09/9.98  tff(f35486,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = cis(pi)),
% 59.09/9.98    inference(cnf_transformation,[],[f3260])).
% 59.09/9.98  tff(f3260,axiom,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = cis(pi)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3259_cis__pi)).
% 59.09/9.98  tff(f60210,plain,(
% 59.09/9.98    ( ! [X0 : real,X1 : real] : (aa(real,real,uminus_uminus(real),im(imaginary_unit)) = X0 | aa(complex,complex,uminus_uminus(complex),one_one(complex)) != complex2(X0,X1)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f46443,f35393])).
% 59.09/9.98  tff(f46443,plain,(
% 59.09/9.98    ( ! [X0 : real,X1 : real] : (aa(real,real,uminus_uminus(real),one_one(real)) = X0 | aa(complex,complex,uminus_uminus(complex),one_one(complex)) != complex2(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32088])).
% 59.09/9.98  tff(f32088,plain,(
% 59.09/9.98    ! [X0 : real,X1 : real] : ((aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(X0,X1) | zero_zero(real) != X1 | aa(real,real,uminus_uminus(real),one_one(real)) != X0) & ((zero_zero(real) = X1 & aa(real,real,uminus_uminus(real),one_one(real)) = X0) | aa(complex,complex,uminus_uminus(complex),one_one(complex)) != complex2(X0,X1)))),
% 59.09/9.98    inference(flattening,[],[f32087])).
% 59.09/9.98  tff(f32087,plain,(
% 59.09/9.98    ! [X0 : real,X1 : real] : ((aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(X0,X1) | (zero_zero(real) != X1 | aa(real,real,uminus_uminus(real),one_one(real)) != X0)) & ((zero_zero(real) = X1 & aa(real,real,uminus_uminus(real),one_one(real)) = X0) | aa(complex,complex,uminus_uminus(complex),one_one(complex)) != complex2(X0,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f16490])).
% 59.09/9.98  tff(f16490,plain,(
% 59.09/9.98    ! [X0 : real,X1 : real] : (aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(X0,X1) <=> (zero_zero(real) = X1 & aa(real,real,uminus_uminus(real),one_one(real)) = X0))),
% 59.09/9.98    inference(rectify,[],[f3106])).
% 59.09/9.98  tff(f3106,axiom,(
% 59.09/9.98    ! [X7 : real,X49 : real] : (complex2(X7,X49) = aa(complex,complex,uminus_uminus(complex),one_one(complex)) <=> (zero_zero(real) = X49 & aa(real,real,uminus_uminus(real),one_one(real)) = X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3105_Complex__eq__neg__1)).
% 59.09/9.98  tff(f85709,plain,(
% 59.09/9.98    spl2737_3258 | ~spl2737_3257),
% 59.09/9.98    inference(avatar_split_clause,[],[f85705,f85702,f85707])).
% 59.09/9.98  tff(f85707,plain,(
% 59.09/9.98    spl2737_3258 <=> ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),sK1666(X0)),size_num(one2))) | ~sP305(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3258])])).
% 59.09/9.98  tff(f85702,plain,(
% 59.09/9.98    spl2737_3257 <=> ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),sK1666(X0))) | ~sP305(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3257])])).
% 59.09/9.98  tff(f85705,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),sK1666(X0)),size_num(one2))) | ~sP305(X0)) ) | ~spl2737_3257),
% 59.09/9.98    inference(forward_demodulation,[],[f85703,f50171])).
% 59.09/9.98  tff(f85703,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),sK1666(X0))) | ~sP305(X0)) ) | ~spl2737_3257),
% 59.09/9.98    inference(avatar_component_clause,[],[f85702])).
% 59.09/9.98  tff(f85704,plain,(
% 59.09/9.98    spl2737_3257),
% 59.09/9.98    inference(avatar_split_clause,[],[f58876,f85702])).
% 59.09/9.98  tff(f58876,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),sK1666(X0))) | ~sP305(X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f45166,f35397])).
% 59.09/9.98  tff(f45166,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),sK1666(X0))) | ~sP305(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31389])).
% 59.09/9.98  tff(f31389,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : ((~pp(aa(nat,bool,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1666(X0)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),sK1666(X0))) & pp(aa(nat,bool,X0,sK1666(X0)))) | ~sP305(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1666])],[f31387,f31388])).
% 59.09/9.98  tff(f31388,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)) & pp(aa(nat,bool,X0,X1))) => (~pp(aa(nat,bool,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1666(X0)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),sK1666(X0))) & pp(aa(nat,bool,X0,sK1666(X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31387,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)) & pp(aa(nat,bool,X0,X1))) | ~sP305(X0))),
% 59.09/9.98    inference(rectify,[],[f31386])).
% 59.09/9.98  tff(f31386,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)) & pp(aa(nat,bool,X0,X2))) | ~sP305(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27550])).
% 59.09/9.98  tff(f27550,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)) & pp(aa(nat,bool,X0,X2))) | ~sP305(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP305])])).
% 59.09/9.98  tff(f85700,plain,(
% 59.09/9.98    spl2737_3256),
% 59.09/9.98    inference(avatar_split_clause,[],[f58794,f85698])).
% 59.09/9.98  tff(f85698,plain,(
% 59.09/9.98    spl2737_3256 <=> ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = aa(nat,X0,nth(X0,X1),size_num(one2)) | nil(X0) = X1)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3256])])).
% 59.09/9.98  tff(f58794,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = aa(nat,X0,nth(X0,X1),size_num(one2)) | nil(X0) = X1) )),
% 59.09/9.98    inference(forward_demodulation,[],[f45089,f35397])).
% 59.09/9.98  tff(f45089,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : list(X0)] : (aa(nat,X0,nth(X0,X1),zero_zero(nat)) = hd(X0,X1) | nil(X0) = X1) )),
% 59.09/9.98    inference(cnf_transformation,[],[f24402])).
% 59.09/9.98  tff(f24402,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(X0)] : (aa(nat,X0,nth(X0,X1),zero_zero(nat)) = hd(X0,X1) | nil(X0) = X1)),
% 59.09/9.98    inference(ennf_transformation,[],[f15751])).
% 59.09/9.98  tff(f15751,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => aa(nat,X0,nth(X0,X1),zero_zero(nat)) = hd(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f5545])).
% 59.09/9.98  tff(f5545,axiom,(
% 59.09/9.98    ! [X0 : $tType,X123 : list(X0)] : (nil(X0) != X123 => aa(nat,X0,nth(X0,X123),zero_zero(nat)) = hd(X0,X123))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5544_hd__conv__nth)).
% 59.09/9.98  tff(f85696,plain,(
% 59.09/9.98    spl2737_3255 | spl2737_1385),
% 59.09/9.98    inference(avatar_split_clause,[],[f58793,f71092,f85694])).
% 59.09/9.98  tff(f85694,plain,(
% 59.09/9.98    spl2737_3255 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | ~accp(nat,nat_list_decode_rel,X0) | sP295(X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3255])])).
% 59.09/9.98  tff(f71092,plain,(
% 59.09/9.98    spl2737_1385 <=> accp(nat,nat_list_decode_rel,size_num(one2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_1385])])).
% 59.09/9.98  tff(f58793,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : fun(nat,bool)] : (accp(nat,nat_list_decode_rel,size_num(one2)) | pp(aa(nat,bool,X1,X0)) | sP295(X1) | ~accp(nat,nat_list_decode_rel,X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f45086,f35397])).
% 59.09/9.98  tff(f45086,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | sP295(X1) | accp(nat,nat_list_decode_rel,zero_zero(nat)) | ~accp(nat,nat_list_decode_rel,X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f27537])).
% 59.09/9.98  tff(f27537,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | sP295(X1) | (~pp(aa(nat,bool,X1,zero_zero(nat))) & accp(nat,nat_list_decode_rel,zero_zero(nat))) | ~accp(nat,nat_list_decode_rel,X0))),
% 59.09/9.98    inference(definition_folding,[],[f24400,f27536])).
% 59.09/9.98  tff(f27536,plain,(
% 59.09/9.98    ! [X1 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X1,X4)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4) != aa(nat,product_prod(nat,nat),nat_prod_decode,X2)) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X2))) | ~sP295(X1))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP295])])).
% 59.09/9.98  tff(f24400,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | ? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X1,X4)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4) != aa(nat,product_prod(nat,nat),nat_prod_decode,X2)) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X2))) | (~pp(aa(nat,bool,X1,zero_zero(nat))) & accp(nat,nat_list_decode_rel,zero_zero(nat))) | ~accp(nat,nat_list_decode_rel,X0))),
% 59.09/9.98    inference(flattening,[],[f24399])).
% 59.09/9.98  tff(f24399,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (((pp(aa(nat,bool,X1,X0)) | ? [X2 : nat] : ((~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X1,X4)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4) != aa(nat,product_prod(nat,nat),nat_prod_decode,X2))) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X2)))) | (~pp(aa(nat,bool,X1,zero_zero(nat))) & accp(nat,nat_list_decode_rel,zero_zero(nat)))) | ~accp(nat,nat_list_decode_rel,X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f15749])).
% 59.09/9.98  tff(f15749,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (accp(nat,nat_list_decode_rel,X0) => ((accp(nat,nat_list_decode_rel,zero_zero(nat)) => pp(aa(nat,bool,X1,zero_zero(nat)))) => (! [X2 : nat] : (accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X2)) => (! [X3 : nat,X4 : nat] : (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4) = aa(nat,product_prod(nat,nat),nat_prod_decode,X2) => pp(aa(nat,bool,X1,X4))) => pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))))) => pp(aa(nat,bool,X1,X0)))))),
% 59.09/9.98    inference(rectify,[],[f7124])).
% 59.09/9.98  tff(f7124,axiom,(
% 59.09/9.98    ! [X212 : nat,X17 : fun(nat,bool)] : (accp(nat,nat_list_decode_rel,X212) => ((accp(nat,nat_list_decode_rel,zero_zero(nat)) => pp(aa(nat,bool,X17,zero_zero(nat)))) => (! [X19 : nat] : (accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X19)) => (! [X63 : nat,X37 : nat] : (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X63),X37) = aa(nat,product_prod(nat,nat),nat_prod_decode,X19) => pp(aa(nat,bool,X17,X37))) => pp(aa(nat,bool,X17,aa(nat,nat,suc,X19))))) => pp(aa(nat,bool,X17,X212)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7123_list__decode_Opinduct)).
% 59.09/9.98  tff(f85601,plain,(
% 59.09/9.98    spl2737_3253 | spl2737_3254),
% 59.09/9.98    inference(avatar_split_clause,[],[f58791,f85598,f85595])).
% 59.09/9.98  tff(f85595,plain,(
% 59.09/9.98    spl2737_3253 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | ~accp(nat,nth_item_rel,X0) | sP294(X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3253])])).
% 59.09/9.98  tff(f85598,plain,(
% 59.09/9.98    spl2737_3254 <=> accp(nat,nth_item_rel,size_num(one2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3254])])).
% 59.09/9.98  tff(f58791,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : fun(nat,bool)] : (accp(nat,nth_item_rel,size_num(one2)) | pp(aa(nat,bool,X1,X0)) | sP294(X1) | ~accp(nat,nth_item_rel,X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f45081,f35397])).
% 59.09/9.98  tff(f45081,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | sP294(X1) | accp(nat,nth_item_rel,zero_zero(nat)) | ~accp(nat,nth_item_rel,X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f27535])).
% 59.09/9.98  tff(f27535,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | sP294(X1) | (~pp(aa(nat,bool,X1,zero_zero(nat))) & accp(nat,nth_item_rel,zero_zero(nat))) | ~accp(nat,nth_item_rel,X0))),
% 59.09/9.98    inference(definition_folding,[],[f24398,f27534])).
% 59.09/9.98  tff(f27534,plain,(
% 59.09/9.98    ! [X1 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X11 : nat,X12 : nat,X13 : nat,X14 : nat] : (pp(aa(nat,bool,X1,X14)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14) != aa(nat,product_prod(nat,nat),nat_prod_decode,X12) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X11) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X12) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11)) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : nat] : (pp(aa(nat,bool,X1,X9)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X8) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X9),X10) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X7) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X8) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7)) & ! [X5 : nat,X6 : nat] : (pp(aa(nat,bool,X1,X6)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X5) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X5)) & ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X1,X4)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X3) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X4) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X3)) & accp(nat,nth_item_rel,aa(nat,nat,suc,X2))) | ~sP294(X1))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP294])])).
% 59.09/9.98  tff(f24398,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | ? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X11 : nat,X12 : nat,X13 : nat,X14 : nat] : (pp(aa(nat,bool,X1,X14)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14) != aa(nat,product_prod(nat,nat),nat_prod_decode,X12) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X11) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X12) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11)) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : nat] : (pp(aa(nat,bool,X1,X9)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X8) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X9),X10) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X7) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X8) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7)) & ! [X5 : nat,X6 : nat] : (pp(aa(nat,bool,X1,X6)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X5) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X5)) & ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X1,X4)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X3) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X4) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X3)) & accp(nat,nth_item_rel,aa(nat,nat,suc,X2))) | (~pp(aa(nat,bool,X1,zero_zero(nat))) & accp(nat,nth_item_rel,zero_zero(nat))) | ~accp(nat,nth_item_rel,X0))),
% 59.09/9.98    inference(flattening,[],[f24397])).
% 59.09/9.98  tff(f24397,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (((pp(aa(nat,bool,X1,X0)) | ? [X2 : nat] : (((((~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X11 : nat,X12 : nat,X13 : nat,X14 : nat] : (((pp(aa(nat,bool,X1,X14)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14) != aa(nat,product_prod(nat,nat),nat_prod_decode,X12)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X11) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X12)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11))) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : nat] : (((pp(aa(nat,bool,X1,X9)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X8) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X9),X10)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X7) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X8)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7))) & ! [X5 : nat,X6 : nat] : ((pp(aa(nat,bool,X1,X6)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X5) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X5))) & ! [X3 : nat,X4 : nat] : ((pp(aa(nat,bool,X1,X4)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X3) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X4)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X3))) & accp(nat,nth_item_rel,aa(nat,nat,suc,X2)))) | (~pp(aa(nat,bool,X1,zero_zero(nat))) & accp(nat,nth_item_rel,zero_zero(nat)))) | ~accp(nat,nth_item_rel,X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f15748])).
% 59.09/9.98  tff(f15748,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (accp(nat,nth_item_rel,X0) => ((accp(nat,nth_item_rel,zero_zero(nat)) => pp(aa(nat,bool,X1,zero_zero(nat)))) => (! [X2 : nat] : (accp(nat,nth_item_rel,aa(nat,nat,suc,X2)) => (! [X3 : nat,X4 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) = aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X3) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X3) = aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X4) => pp(aa(nat,bool,X1,X4)))) => (! [X5 : nat,X6 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) = aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X5) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X5) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) => pp(aa(nat,bool,X1,X6)))) => (! [X7 : nat,X8 : nat,X9 : nat,X10 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X7) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X8) => (aa(nat,product_prod(nat,nat),nat_prod_decode,X8) = aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X9),X10) => pp(aa(nat,bool,X1,X9))))) => (! [X11 : nat,X12 : nat,X13 : nat,X14 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X11) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X12) => (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14) = aa(nat,product_prod(nat,nat),nat_prod_decode,X12) => pp(aa(nat,bool,X1,X14))))) => pp(aa(nat,bool,X1,aa(nat,nat,suc,X2)))))))) => pp(aa(nat,bool,X1,X0)))))),
% 59.09/9.98    inference(rectify,[],[f8097])).
% 59.09/9.98  tff(f8097,axiom,(
% 59.09/9.98    ! [X212 : nat,X17 : fun(nat,bool)] : (accp(nat,nth_item_rel,X212) => ((accp(nat,nth_item_rel,zero_zero(nat)) => pp(aa(nat,bool,X17,zero_zero(nat)))) => (! [X19 : nat] : (accp(nat,nth_item_rel,aa(nat,nat,suc,X19)) => (! [X245 : nat,X351 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X19) = aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X245) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X245) = aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X351) => pp(aa(nat,bool,X17,X351)))) => (! [X245 : nat,X339 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X19) = aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X245) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X245) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X339) => pp(aa(nat,bool,X17,X339)))) => (! [X339 : nat,X352 : nat,X63 : nat,X37 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X19) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X339) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X339) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X352) => (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X63),X37) = aa(nat,product_prod(nat,nat),nat_prod_decode,X352) => pp(aa(nat,bool,X17,X63))))) => (! [X339 : nat,X352 : nat,X63 : nat,X37 : nat] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,X19) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X339) => (aa(nat,sum_sum(nat,nat),nat_sum_decode,X339) = aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X352) => (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X63),X37) = aa(nat,product_prod(nat,nat),nat_prod_decode,X352) => pp(aa(nat,bool,X17,X37))))) => pp(aa(nat,bool,X17,aa(nat,nat,suc,X19)))))))) => pp(aa(nat,bool,X17,X212)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8096_nth__item_Opinduct)).
% 59.09/9.98  tff(f85592,plain,(
% 59.09/9.98    spl2737_3251 | spl2737_3252),
% 59.09/9.98    inference(avatar_split_clause,[],[f58760,f85589,f85586])).
% 59.09/9.98  tff(f85586,plain,(
% 59.09/9.98    spl2737_3251 <=> ! [X0 : nat] : (sP290(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0) | sP291(vEBT_vebt_buildup(X0),X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3251])])).
% 59.09/9.98  tff(f85589,plain,(
% 59.09/9.98    spl2737_3252 <=> accp(nat,vEBT_v4011308405150292612up_rel,one_one(nat))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3252])])).
% 59.09/9.98  tff(f58760,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,one_one(nat)) | sP290(vEBT_vebt_buildup(X0),X0) | sP291(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f58759,f54053])).
% 59.09/9.98  tff(f58759,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,size_num(one2))) | sP290(vEBT_vebt_buildup(X0),X0) | sP291(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f53193,f35397])).
% 59.09/9.98  tff(f53193,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (sP290(vEBT_vebt_buildup(X0),X0) | accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,zero_zero(nat))) | sP291(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f45060])).
% 59.09/9.98  tff(f45060,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP290(X1,X0) | accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,zero_zero(nat))) | sP291(X1,X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0) | vEBT_vebt_buildup(X0) != X1) )),
% 59.09/9.98    inference(cnf_transformation,[],[f27529])).
% 59.09/9.98  tff(f27529,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (sP290(X1,X0) | (accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,zero_zero(nat))) & vEBT_Leaf(fFalse,fFalse) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | sP291(X1,X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0) | vEBT_vebt_buildup(X0) != X1)),
% 59.09/9.98    inference(definition_folding,[],[f24391,f27528,f27527])).
% 59.09/9.98  tff(f27527,plain,(
% 59.09/9.98    ! [X1 : vEBT_VEBT,X0 : nat] : (? [X2 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | ~sP290(X1,X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP290])])).
% 59.09/9.98  tff(f27528,plain,(
% 59.09/9.98    ! [X1 : vEBT_VEBT,X0 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0) | ~sP291(X1,X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP291])])).
% 59.09/9.98  tff(f24391,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | (accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,zero_zero(nat))) & vEBT_Leaf(fFalse,fFalse) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | (accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0) | vEBT_vebt_buildup(X0) != X1)),
% 59.09/9.98    inference(flattening,[],[f24390])).
% 59.09/9.98  tff(f24390,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((((? [X2 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | ((accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,zero_zero(nat))) & vEBT_Leaf(fFalse,fFalse) = X1) & aa(nat,nat,suc,zero_zero(nat)) = X0)) | ((accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X1) & zero_zero(nat) = X0)) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0)) | vEBT_vebt_buildup(X0) != X1)),
% 59.09/9.98    inference(ennf_transformation,[],[f15744])).
% 59.09/9.98  tff(f15744,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(X0) = X1 => (accp(nat,vEBT_v4011308405150292612up_rel,X0) => ((zero_zero(nat) = X0 => (vEBT_Leaf(fFalse,fFalse) = X1 => ~accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)))) => ((aa(nat,nat,suc,zero_zero(nat)) = X0 => (vEBT_Leaf(fFalse,fFalse) = X1 => ~accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,zero_zero(nat))))) => ~! [X2 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0 => (((~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1) & (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1)) => ~accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,aa(nat,nat,suc,X2)))))))))),
% 59.09/9.98    inference(rectify,[],[f4022])).
% 59.09/9.98  tff(f4022,axiom,(
% 59.09/9.98    ! [X14 : nat,X15 : vEBT_VEBT] : (vEBT_vebt_buildup(X14) = X15 => (accp(nat,vEBT_v4011308405150292612up_rel,X14) => ((zero_zero(nat) = X14 => (vEBT_Leaf(fFalse,fFalse) = X15 => ~accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)))) => ((aa(nat,nat,suc,zero_zero(nat)) = X14 => (vEBT_Leaf(fFalse,fFalse) = X15 => ~accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,zero_zero(nat))))) => ~! [X45 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,X45)) = X14 => (((~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X45)))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X45)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X15) & (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X45)))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X45)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X15)) => ~accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,aa(nat,nat,suc,X45)))))))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4021_vebt__buildup_Opelims)).
% 59.09/9.98  tff(f85574,plain,(
% 59.09/9.98    spl2737_3250 | ~spl2737_3249),
% 59.09/9.98    inference(avatar_split_clause,[],[f85570,f85567,f85572])).
% 59.09/9.98  tff(f85572,plain,(
% 59.09/9.98    spl2737_3250 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X1),size_num(one2))) | ~vEBT_invar_vebt(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3250])])).
% 59.09/9.98  tff(f85567,plain,(
% 59.09/9.98    spl2737_3249 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),X1)) | ~vEBT_invar_vebt(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3249])])).
% 59.09/9.98  tff(f85570,plain,(
% 59.09/9.98    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X1),size_num(one2))) | ~vEBT_invar_vebt(X0,X1)) ) | ~spl2737_3249),
% 59.09/9.98    inference(forward_demodulation,[],[f85568,f50171])).
% 59.09/9.98  tff(f85568,plain,(
% 59.09/9.98    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),X1)) | ~vEBT_invar_vebt(X0,X1)) ) | ~spl2737_3249),
% 59.09/9.98    inference(avatar_component_clause,[],[f85567])).
% 59.09/9.98  tff(f85569,plain,(
% 59.09/9.98    spl2737_3249),
% 59.09/9.98    inference(avatar_split_clause,[],[f58598,f85567])).
% 59.09/9.98  tff(f58598,plain,(
% 59.09/9.98    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),X1)) | ~vEBT_invar_vebt(X0,X1)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f44965,f35397])).
% 59.09/9.98  tff(f44965,plain,(
% 59.09/9.98    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)) | ~vEBT_invar_vebt(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f24357])).
% 59.09/9.98  tff(f24357,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)) | ~vEBT_invar_vebt(X0,X1))),
% 59.09/9.98    inference(ennf_transformation,[],[f15721])).
% 59.09/9.98  tff(f15721,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))),
% 59.09/9.98    inference(rectify,[],[f87])).
% 59.09/9.98  tff(f87,axiom,(
% 59.09/9.98    ! [X41 : vEBT_VEBT,X8 : nat] : (vEBT_invar_vebt(X41,X8) => pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X8)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_deg__not__0)).
% 59.09/9.98  tff(f85565,plain,(
% 59.09/9.98    spl2737_3248),
% 59.09/9.98    inference(avatar_split_clause,[],[f57517,f85563])).
% 59.09/9.98  tff(f85563,plain,(
% 59.09/9.98    spl2737_3248 <=> ! [X0 : $tType,X1 : X0] : one_one(nat) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3248])])).
% 59.09/9.98  tff(f57517,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(nat) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f57516,f54053])).
% 59.09/9.98  tff(f57516,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1)) = aa(nat,nat,suc,size_num(one2))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f43600,f35397])).
% 59.09/9.98  tff(f43600,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14783])).
% 59.09/9.98  tff(f14783,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : X0] : aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X1))),
% 59.09/9.98    inference(rectify,[],[f3278])).
% 59.09/9.98  tff(f3278,axiom,(
% 59.09/9.98    ! [X0 : $tType,X10 : X0] : aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),aa(X0,option(X0),some(X0),X10))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3277_option_Osize_I4_J)).
% 59.09/9.98  tff(f85561,plain,(
% 59.09/9.98    spl2737_3247),
% 59.09/9.98    inference(avatar_split_clause,[],[f57511,f85559])).
% 59.09/9.98  tff(f85559,plain,(
% 59.09/9.98    spl2737_3247 <=> ! [X0 : nat,X1 : nat] : bit_se2638667681897837118et_bit(nat,X0,X1) = aa(int,nat,nat2,bit_se2638667681897837118et_bit(int,X0,aa(nat,int,code_T6385005292777649522of_nat,X1)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3247])])).
% 59.09/9.98  tff(f57511,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : nat] : (bit_se2638667681897837118et_bit(nat,X0,X1) = aa(int,nat,nat2,bit_se2638667681897837118et_bit(int,X0,aa(nat,int,code_T6385005292777649522of_nat,X1)))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f43579,f35405])).
% 59.09/9.98  tff(f43579,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : nat] : (bit_se2638667681897837118et_bit(nat,X0,X1) = aa(int,nat,nat2,bit_se2638667681897837118et_bit(int,X0,aa(nat,int,semiring_1_of_nat(int),X1)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14762])).
% 59.09/9.98  tff(f14762,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : bit_se2638667681897837118et_bit(nat,X0,X1) = aa(int,nat,nat2,bit_se2638667681897837118et_bit(int,X0,aa(nat,int,semiring_1_of_nat(int),X1)))),
% 59.09/9.98    inference(rectify,[],[f2525])).
% 59.09/9.98  tff(f2525,axiom,(
% 59.09/9.98    ! [X9 : nat,X8 : nat] : bit_se2638667681897837118et_bit(nat,X9,X8) = aa(int,nat,nat2,bit_se2638667681897837118et_bit(int,X9,aa(nat,int,semiring_1_of_nat(int),X8)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2524_unset__bit__nat__def)).
% 59.09/9.98  tff(f85557,plain,(
% 59.09/9.98    spl2737_3246),
% 59.09/9.98    inference(avatar_split_clause,[],[f57194,f85555])).
% 59.09/9.98  tff(f85555,plain,(
% 59.09/9.98    spl2737_3246 <=> ! [X0 : complex] : (one_one(complex) != complex2(re(X0),im(aa(complex,complex,uminus_uminus(complex),X0))) | one_one(complex) = X0)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3246])])).
% 59.09/9.98  tff(f57194,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (one_one(complex) != complex2(re(X0),im(aa(complex,complex,uminus_uminus(complex),X0))) | one_one(complex) = X0) )),
% 59.09/9.98    inference(forward_demodulation,[],[f51427,f35932])).
% 59.09/9.98  tff(f35932,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (aa(real,real,uminus_uminus(real),im(X0)) = im(aa(complex,complex,uminus_uminus(complex),X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10095])).
% 59.09/9.98  tff(f10095,plain,(
% 59.09/9.98    ! [X0 : complex] : aa(real,real,uminus_uminus(real),im(X0)) = im(aa(complex,complex,uminus_uminus(complex),X0))),
% 59.09/9.98    inference(rectify,[],[f4740])).
% 59.09/9.98  tff(f4740,axiom,(
% 59.09/9.98    ! [X14 : complex] : aa(real,real,uminus_uminus(real),im(X14)) = im(aa(complex,complex,uminus_uminus(complex),X14))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4739_uminus__complex_Osimps_I2_J)).
% 59.09/9.98  tff(f51427,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (one_one(complex) = X0 | one_one(complex) != complex2(re(X0),aa(real,real,uminus_uminus(real),im(X0)))) )),
% 59.09/9.98    inference(definition_unfolding,[],[f43305,f35871])).
% 59.09/9.98  tff(f35871,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (cnj(X0) = complex2(re(X0),aa(real,real,uminus_uminus(real),im(X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10037])).
% 59.09/9.98  tff(f10037,plain,(
% 59.09/9.98    ! [X0 : complex] : cnj(X0) = complex2(re(X0),aa(real,real,uminus_uminus(real),im(X0)))),
% 59.09/9.98    inference(rectify,[],[f7393])).
% 59.09/9.98  tff(f7393,axiom,(
% 59.09/9.98    ! [X60 : complex] : cnj(X60) = complex2(re(X60),aa(real,real,uminus_uminus(real),im(X60)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7392_cnj_Ocode)).
% 59.09/9.98  tff(f43305,plain,(
% 59.09/9.98    ( ! [X0 : complex] : (one_one(complex) = X0 | one_one(complex) != cnj(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30575])).
% 59.09/9.98  tff(f30575,plain,(
% 59.09/9.98    ! [X0 : complex] : ((one_one(complex) = cnj(X0) | one_one(complex) != X0) & (one_one(complex) = X0 | one_one(complex) != cnj(X0)))),
% 59.09/9.98    inference(nnf_transformation,[],[f14607])).
% 59.09/9.98  tff(f14607,plain,(
% 59.09/9.98    ! [X0 : complex] : (one_one(complex) = cnj(X0) <=> one_one(complex) = X0)),
% 59.09/9.98    inference(rectify,[],[f7382])).
% 59.09/9.98  tff(f7382,axiom,(
% 59.09/9.98    ! [X60 : complex] : (one_one(complex) = cnj(X60) <=> one_one(complex) = X60)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7381_complex__cnj__one__iff)).
% 59.09/9.98  tff(f85553,plain,(
% 59.09/9.98    spl2737_3245),
% 59.09/9.98    inference(avatar_split_clause,[],[f56405,f85551])).
% 59.09/9.98  tff(f85551,plain,(
% 59.09/9.98    spl2737_3245 <=> ! [X0 : set(nat)] : (size_num(one2) = aa(set(nat),nat,nat_set_encode,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3245])])).
% 59.09/9.98  tff(f56405,plain,(
% 59.09/9.98    ( ! [X0 : set(nat)] : (size_num(one2) = aa(set(nat),nat,nat_set_encode,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f42506,f35397])).
% 59.09/9.98  tff(f42506,plain,(
% 59.09/9.98    ( ! [X0 : set(nat)] : (zero_zero(nat) = aa(set(nat),nat,nat_set_encode,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f22695])).
% 59.09/9.98  tff(f22695,plain,(
% 59.09/9.98    ! [X0 : set(nat)] : (zero_zero(nat) = aa(set(nat),nat,nat_set_encode,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0)))),
% 59.09/9.98    inference(ennf_transformation,[],[f14030])).
% 59.09/9.98  tff(f14030,plain,(
% 59.09/9.98    ! [X0 : set(nat)] : (~pp(aa(set(nat),bool,finite_finite(nat),X0)) => zero_zero(nat) = aa(set(nat),nat,nat_set_encode,X0))),
% 59.09/9.98    inference(rectify,[],[f4101])).
% 59.09/9.98  tff(f4101,axiom,(
% 59.09/9.98    ! [X30 : set(nat)] : (~pp(aa(set(nat),bool,finite_finite(nat),X30)) => zero_zero(nat) = aa(set(nat),nat,nat_set_encode,X30))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4100_set__encode__inf)).
% 59.09/9.98  tff(f85549,plain,(
% 59.09/9.98    spl2737_3244),
% 59.09/9.98    inference(avatar_split_clause,[],[f55213,f85547])).
% 59.09/9.98  tff(f85547,plain,(
% 59.09/9.98    spl2737_3244 <=> ! [X0 : $tType,X1 : set(X0)] : (ord_Least(X0,aTP_Lamp_aaw(set(X0),fun(X0,bool),X1)) = infini527867602293511546merate(X0,X1,size_num(one2)) | ~wellorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3244])])).
% 59.09/9.98  tff(f55213,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : set(X0)] : (ord_Least(X0,aTP_Lamp_aaw(set(X0),fun(X0,bool),X1)) = infini527867602293511546merate(X0,X1,size_num(one2)) | ~wellorder(X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f38577,f35397])).
% 59.09/9.98  tff(f38577,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : set(X0)] : (infini527867602293511546merate(X0,X1,zero_zero(nat)) = ord_Least(X0,aTP_Lamp_aaw(set(X0),fun(X0,bool),X1)) | ~wellorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19829])).
% 59.09/9.98  tff(f19829,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : set(X0)] : infini527867602293511546merate(X0,X1,zero_zero(nat)) = ord_Least(X0,aTP_Lamp_aaw(set(X0),fun(X0,bool),X1)) | ~wellorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11680])).
% 59.09/9.98  tff(f11680,plain,(
% 59.09/9.98    ! [X0 : $tType] : (wellorder(X0) => ! [X1 : set(X0)] : infini527867602293511546merate(X0,X1,zero_zero(nat)) = ord_Least(X0,aTP_Lamp_aaw(set(X0),fun(X0,bool),X1)))),
% 59.09/9.98    inference(rectify,[],[f6540])).
% 59.09/9.98  tff(f6540,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (wellorder(X0) => ! [X119 : set(X0)] : infini527867602293511546merate(X0,X119,zero_zero(nat)) = ord_Least(X0,aTP_Lamp_aaw(set(X0),fun(X0,bool),X119)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6539_enumerate__0)).
% 59.09/9.98  tff(f85545,plain,(
% 59.09/9.98    spl2737_3243),
% 59.09/9.98    inference(avatar_split_clause,[],[f55178,f85543])).
% 59.09/9.98  tff(f85543,plain,(
% 59.09/9.98    spl2737_3243 <=> ! [X0 : $tType,X1 : X0] : (im(imaginary_unit) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) = X1 | ~real_V822414075346904944vector(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3243])])).
% 59.09/9.98  tff(f55178,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (im(imaginary_unit) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) = X1 | ~real_V822414075346904944vector(X0)) )),
% 59.09/9.98    inference(forward_demodulation,[],[f38414,f35393])).
% 59.09/9.98  tff(f38414,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (one_one(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) = X1 | ~real_V822414075346904944vector(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f19689])).
% 59.09/9.98  tff(f19689,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ((one_one(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) = X1) & (zero_zero(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) != X1)) | ~real_V822414075346904944vector(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f11559])).
% 59.09/9.98  tff(f11559,plain,(
% 59.09/9.98    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : ((zero_zero(X0) != X1 => one_one(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1))) & (zero_zero(X0) = X1 => zero_zero(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)))))),
% 59.09/9.98    inference(rectify,[],[f2253])).
% 59.09/9.98  tff(f2253,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X14 : X0] : ((zero_zero(X0) != X14 => one_one(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X14))) & (zero_zero(X0) = X14 => zero_zero(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X14)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2252_norm__sgn)).
% 59.09/9.98  tff(f85541,plain,(
% 59.09/9.98    spl2737_3242),
% 59.09/9.98    inference(avatar_split_clause,[],[f54864,f85538])).
% 59.09/9.98  tff(f85538,plain,(
% 59.09/9.98    spl2737_3242 <=> zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),zero_zero(extended_enat)),extend4730790105801354508finity(extended_enat))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3242])])).
% 59.09/9.98  tff(f54864,plain,(
% 59.09/9.98    zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),zero_zero(extended_enat)),extend4730790105801354508finity(extended_enat))),
% 59.09/9.98    inference(forward_demodulation,[],[f54863,f54020])).
% 59.09/9.98  tff(f54020,plain,(
% 59.09/9.98    zero_zero(extended_enat) = extended_enat2(size_num(one2))),
% 59.09/9.98    inference(forward_demodulation,[],[f35420,f35397])).
% 59.09/9.98  tff(f35420,plain,(
% 59.09/9.98    extended_enat2(zero_zero(nat)) = zero_zero(extended_enat)),
% 59.09/9.98    inference(cnf_transformation,[],[f7196])).
% 59.09/9.98  tff(f7196,axiom,(
% 59.09/9.98    extended_enat2(zero_zero(nat)) = zero_zero(extended_enat)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7195_zero__enat__def)).
% 59.09/9.98  tff(f54863,plain,(
% 59.09/9.98    zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(size_num(one2))),extend4730790105801354508finity(extended_enat))),
% 59.09/9.98    inference(forward_demodulation,[],[f52530,f35397])).
% 59.09/9.98  tff(f52530,plain,(
% 59.09/9.98    zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(zero_zero(nat))),extend4730790105801354508finity(extended_enat))),
% 59.09/9.98    inference(equality_resolution,[],[f36351])).
% 59.09/9.98  tff(f36351,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(X0)),extend4730790105801354508finity(extended_enat)) | zero_zero(nat) != X0) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18402])).
% 59.09/9.98  tff(f18402,plain,(
% 59.09/9.98    ! [X0 : nat] : ((extend4730790105801354508finity(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(X0)),extend4730790105801354508finity(extended_enat)) | zero_zero(nat) = X0) & (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(X0)),extend4730790105801354508finity(extended_enat)) | zero_zero(nat) != X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10496])).
% 59.09/9.98  tff(f10496,plain,(
% 59.09/9.98    ! [X0 : nat] : ((zero_zero(nat) != X0 => extend4730790105801354508finity(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(X0)),extend4730790105801354508finity(extended_enat))) & (zero_zero(nat) = X0 => zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(X0)),extend4730790105801354508finity(extended_enat))))),
% 59.09/9.98    inference(rectify,[],[f7223])).
% 59.09/9.98  tff(f7223,axiom,(
% 59.09/9.98    ! [X9 : nat] : ((zero_zero(nat) != X9 => extend4730790105801354508finity(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(X9)),extend4730790105801354508finity(extended_enat))) & (zero_zero(nat) = X9 => zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extended_enat2(X9)),extend4730790105801354508finity(extended_enat))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7222_times__enat__simps_I4_J)).
% 59.09/9.98  tff(f85536,plain,(
% 59.09/9.98    spl2737_3241),
% 59.09/9.98    inference(avatar_split_clause,[],[f54861,f85533])).
% 59.09/9.98  tff(f85533,plain,(
% 59.09/9.98    spl2737_3241 <=> zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),zero_zero(extended_enat))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3241])])).
% 59.09/9.98  tff(f54861,plain,(
% 59.09/9.98    zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),zero_zero(extended_enat))),
% 59.09/9.98    inference(forward_demodulation,[],[f54860,f54020])).
% 59.09/9.98  tff(f54860,plain,(
% 59.09/9.98    zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(size_num(one2)))),
% 59.09/9.98    inference(forward_demodulation,[],[f52529,f35397])).
% 59.09/9.98  tff(f52529,plain,(
% 59.09/9.98    zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(zero_zero(nat)))),
% 59.09/9.98    inference(equality_resolution,[],[f36349])).
% 59.09/9.98  tff(f36349,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(X0)) | zero_zero(nat) != X0) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18401])).
% 59.09/9.98  tff(f18401,plain,(
% 59.09/9.98    ! [X0 : nat] : ((extend4730790105801354508finity(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(X0)) | zero_zero(nat) = X0) & (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(X0)) | zero_zero(nat) != X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10495])).
% 59.09/9.98  tff(f10495,plain,(
% 59.09/9.98    ! [X0 : nat] : ((zero_zero(nat) != X0 => extend4730790105801354508finity(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(X0))) & (zero_zero(nat) = X0 => zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(X0))))),
% 59.09/9.98    inference(rectify,[],[f7222])).
% 59.09/9.98  tff(f7222,axiom,(
% 59.09/9.98    ! [X8 : nat] : ((zero_zero(nat) != X8 => extend4730790105801354508finity(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(X8))) & (zero_zero(nat) = X8 => zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),times_times(extended_enat),extend4730790105801354508finity(extended_enat)),extended_enat2(X8))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7221_times__enat__simps_I3_J)).
% 59.09/9.98  tff(f85531,plain,(
% 59.09/9.98    spl2737_3240),
% 59.09/9.98    inference(avatar_split_clause,[],[f54331,f85529])).
% 59.09/9.98  tff(f85529,plain,(
% 59.09/9.98    spl2737_3240 <=> ! [X0 : nat] : size_num(one2) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(nat,int,code_T6385005292777649522of_nat,X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3240])])).
% 59.09/9.98  tff(f54331,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (size_num(one2) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(nat,int,code_T6385005292777649522of_nat,X0)))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f54330,f35397])).
% 59.09/9.98  tff(f54330,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(nat,int,code_T6385005292777649522of_nat,X0)))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f36017,f35405])).
% 59.09/9.98  tff(f36017,plain,(
% 59.09/9.98    ( ! [X0 : nat] : (zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),X0)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10177])).
% 59.09/9.98  tff(f10177,plain,(
% 59.09/9.98    ! [X0 : nat] : zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),X0)))),
% 59.09/9.98    inference(rectify,[],[f352])).
% 59.09/9.98  tff(f352,axiom,(
% 59.09/9.98    ! [X8 : nat] : zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),X8)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_351_nat__zminus__int)).
% 59.09/9.98  tff(f85527,plain,(
% 59.09/9.98    spl2737_3239),
% 59.09/9.98    inference(avatar_split_clause,[],[f54235,f85525])).
% 59.09/9.98  tff(f85525,plain,(
% 59.09/9.98    spl2737_3239 <=> ! [X0 : num] : size_num(one2) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(num,int,pos,X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3239])])).
% 59.09/9.98  tff(f54235,plain,(
% 59.09/9.98    ( ! [X0 : num] : (size_num(one2) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(num,int,pos,X0)))) )),
% 59.09/9.98    inference(forward_demodulation,[],[f50581,f35397])).
% 59.09/9.98  tff(f50581,plain,(
% 59.09/9.98    ( ! [X0 : num] : (zero_zero(nat) = aa(int,nat,nat2,aa(int,int,uminus_uminus(int),aa(num,int,pos,X0)))) )),
% 59.09/9.98    inference(definition_unfolding,[],[f35811,f35873])).
% 59.09/9.98  tff(f35873,plain,(
% 59.09/9.98    ( ! [X0 : num] : (neg(X0) = aa(int,int,uminus_uminus(int),aa(num,int,pos,X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10038])).
% 59.09/9.98  tff(f10038,plain,(
% 59.09/9.98    ! [X0 : num] : neg(X0) = aa(int,int,uminus_uminus(int),aa(num,int,pos,X0))),
% 59.09/9.98    inference(rectify,[],[f8016])).
% 59.09/9.98  tff(f8016,axiom,(
% 59.09/9.98    ! [X9 : num] : neg(X9) = aa(int,int,uminus_uminus(int),aa(num,int,pos,X9))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8015_uminus__int__code_I2_J)).
% 59.09/9.98  tff(f35811,plain,(
% 59.09/9.98    ( ! [X0 : num] : (zero_zero(nat) = aa(int,nat,nat2,neg(X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f9981])).
% 59.09/9.98  tff(f9981,plain,(
% 59.09/9.98    ! [X0 : num] : zero_zero(nat) = aa(int,nat,nat2,neg(X0))),
% 59.09/9.98    inference(rectify,[],[f7992])).
% 59.09/9.98  tff(f7992,axiom,(
% 59.09/9.98    ! [X18 : num] : zero_zero(nat) = aa(int,nat,nat2,neg(X18))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7991_nat__code_I1_J)).
% 59.09/9.98  tff(f85523,plain,(
% 59.09/9.98    spl2737_3238),
% 59.09/9.98    inference(avatar_split_clause,[],[f54114,f85520])).
% 59.09/9.98  tff(f85520,plain,(
% 59.09/9.98    spl2737_3238 <=> aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),imaginary_unit) = rcis(im(imaginary_unit),pi)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3238])])).
% 59.09/9.98  tff(f54114,plain,(
% 59.09/9.98    aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),imaginary_unit) = rcis(im(imaginary_unit),pi)),
% 59.09/9.98    inference(forward_demodulation,[],[f35572,f54059])).
% 59.09/9.98  tff(f35572,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),imaginary_unit)),
% 59.09/9.98    inference(cnf_transformation,[],[f3304])).
% 59.09/9.98  tff(f3304,axiom,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),imaginary_unit)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3303_i__squared)).
% 59.09/9.98  tff(f85518,plain,(
% 59.09/9.98    spl2737_3237),
% 59.09/9.98    inference(avatar_split_clause,[],[f54099,f85515])).
% 59.09/9.98  tff(f85515,plain,(
% 59.09/9.98    spl2737_3237 <=> filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,im(imaginary_unit),set_ord_greaterThan(real,im(imaginary_unit))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3237])])).
% 59.09/9.98  tff(f54099,plain,(
% 59.09/9.98    filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,im(imaginary_unit),set_ord_greaterThan(real,im(imaginary_unit))))),
% 59.09/9.98    inference(forward_demodulation,[],[f35553,f35393])).
% 59.09/9.98  tff(f35553,plain,(
% 59.09/9.98    filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),set_ord_greaterThan(real,one_one(real))))),
% 59.09/9.98    inference(cnf_transformation,[],[f6097])).
% 59.09/9.98  tff(f6097,axiom,(
% 59.09/9.98    filterlim(real,real,arcosh(real),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(real,one_one(real),set_ord_greaterThan(real,one_one(real))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6096_tendsto__arcosh__at__left__1)).
% 59.09/9.98  tff(f85513,plain,(
% 59.09/9.98    spl2737_3236),
% 59.09/9.98    inference(avatar_split_clause,[],[f54098,f85510])).
% 59.09/9.98  tff(f54098,plain,(
% 59.09/9.98    pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aak(nat,rat)),im(imaginary_unit)))),
% 59.09/9.98    inference(forward_demodulation,[],[f35551,f35393])).
% 59.09/9.98  tff(f35551,plain,(
% 59.09/9.98    pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aak(nat,rat)),one_one(real)))),
% 59.09/9.98    inference(cnf_transformation,[],[f6481])).
% 59.09/9.98  tff(f6481,axiom,(
% 59.09/9.98    pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aak(nat,rat)),one_one(real)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6480_one__real_Otransfer)).
% 59.09/9.98  tff(f85495,plain,(
% 59.09/9.98    spl2737_3235 | ~spl2737_3234),
% 59.09/9.98    inference(avatar_split_clause,[],[f85491,f85488,f85493])).
% 59.09/9.98  tff(f85493,plain,(
% 59.09/9.98    spl2737_3235 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK897(X0,X3)),X3)) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3235])])).
% 59.09/9.98  tff(f85488,plain,(
% 59.09/9.98    spl2737_3234 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK897(X0,X3))) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3234])])).
% 59.09/9.98  tff(f85491,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK897(X0,X3)),X3)) | ~linorder(X0)) ) | ~spl2737_3234),
% 59.09/9.98    inference(forward_demodulation,[],[f85489,f50171])).
% 59.09/9.98  tff(f85489,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK897(X0,X3))) | ~linorder(X0)) ) | ~spl2737_3234),
% 59.09/9.98    inference(avatar_component_clause,[],[f85488])).
% 59.09/9.98  tff(f85490,plain,(
% 59.09/9.98    spl2737_3234),
% 59.09/9.98    inference(avatar_split_clause,[],[f53018,f85488])).
% 59.09/9.98  tff(f53018,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK897(X0,X3))) | ~linorder(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f41948])).
% 59.09/9.98  tff(f41948,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK897(X0,X1))) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29834])).
% 59.09/9.98  tff(f29834,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK897(X0,X1)))) | ~linorder(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK897])],[f22353,f29833])).
% 59.09/9.98  tff(f29833,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))) => ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK897(X0,X1)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f22353,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13764])).
% 59.09/9.98  tff(f13764,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) => X1 != X3))),
% 59.09/9.98    inference(rectify,[],[f830])).
% 59.09/9.98  tff(f830,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X41 : X0] : ? [X96 : X0] : ! [X63 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X63),X96)) => X41 != X63))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_829_minf_I3_J)).
% 59.09/9.98  tff(f85473,plain,(
% 59.09/9.98    spl2737_3233 | ~spl2737_3232),
% 59.09/9.98    inference(avatar_split_clause,[],[f85469,f85466,f85471])).
% 59.09/9.98  tff(f85471,plain,(
% 59.09/9.98    spl2737_3233 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK896(X0,X3)),X3)) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3233])])).
% 59.09/9.98  tff(f85466,plain,(
% 59.09/9.98    spl2737_3232 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK896(X0,X3))) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3232])])).
% 59.09/9.98  tff(f85469,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK896(X0,X3)),X3)) | ~linorder(X0)) ) | ~spl2737_3232),
% 59.09/9.98    inference(forward_demodulation,[],[f85467,f50171])).
% 59.09/9.98  tff(f85467,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK896(X0,X3))) | ~linorder(X0)) ) | ~spl2737_3232),
% 59.09/9.98    inference(avatar_component_clause,[],[f85466])).
% 59.09/9.98  tff(f85468,plain,(
% 59.09/9.98    spl2737_3232),
% 59.09/9.98    inference(avatar_split_clause,[],[f53017,f85466])).
% 59.09/9.98  tff(f53017,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK896(X0,X3))) | ~linorder(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f41947])).
% 59.09/9.98  tff(f41947,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK896(X0,X1))) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29832])).
% 59.09/9.98  tff(f29832,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK896(X0,X1)))) | ~linorder(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK896])],[f22352,f29831])).
% 59.09/9.98  tff(f29831,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))) => ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),sK896(X0,X1)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f22352,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13763])).
% 59.09/9.98  tff(f13763,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) => X1 != X3))),
% 59.09/9.98    inference(rectify,[],[f829])).
% 59.09/9.98  tff(f829,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X41 : X0] : ? [X96 : X0] : ! [X63 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X63),X96)) => X41 != X63))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_828_minf_I4_J)).
% 59.09/9.98  tff(f85457,plain,(
% 59.09/9.98    spl2737_3231 | ~spl2737_3230),
% 59.09/9.98    inference(avatar_split_clause,[],[f85453,f85450,f85455])).
% 59.09/9.98  tff(f85455,plain,(
% 59.09/9.98    spl2737_3231 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X3),sK895(X0,X3))) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3231])])).
% 59.09/9.98  tff(f85450,plain,(
% 59.09/9.98    spl2737_3230 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK895(X0,X3)),X3)) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3230])])).
% 59.09/9.98  tff(f85453,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X3),sK895(X0,X3))) | ~linorder(X0)) ) | ~spl2737_3230),
% 59.09/9.98    inference(forward_demodulation,[],[f85451,f50171])).
% 59.09/9.98  tff(f85451,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK895(X0,X3)),X3)) | ~linorder(X0)) ) | ~spl2737_3230),
% 59.09/9.98    inference(avatar_component_clause,[],[f85450])).
% 59.09/9.98  tff(f85452,plain,(
% 59.09/9.98    spl2737_3230),
% 59.09/9.98    inference(avatar_split_clause,[],[f53016,f85450])).
% 59.09/9.98  tff(f53016,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK895(X0,X3)),X3)) | ~linorder(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f41946])).
% 59.09/9.98  tff(f41946,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK895(X0,X1)),X3)) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29830])).
% 59.09/9.98  tff(f29830,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK895(X0,X1)),X3))) | ~linorder(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK895])],[f22351,f29829])).
% 59.09/9.98  tff(f29829,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))) => ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK895(X0,X1)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f22351,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13762])).
% 59.09/9.98  tff(f13762,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) => X1 != X3))),
% 59.09/9.98    inference(rectify,[],[f837])).
% 59.09/9.98  tff(f837,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X41 : X0] : ? [X96 : X0] : ! [X63 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X96),X63)) => X41 != X63))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_836_pinf_I3_J)).
% 59.09/9.98  tff(f85441,plain,(
% 59.09/9.98    spl2737_3229 | ~spl2737_3228),
% 59.09/9.98    inference(avatar_split_clause,[],[f85437,f85434,f85439])).
% 59.09/9.98  tff(f85439,plain,(
% 59.09/9.98    spl2737_3229 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X3),sK894(X0,X3))) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3229])])).
% 59.09/9.98  tff(f85434,plain,(
% 59.09/9.98    spl2737_3228 <=> ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK894(X0,X3)),X3)) | ~linorder(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3228])])).
% 59.09/9.98  tff(f85437,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X3),sK894(X0,X3))) | ~linorder(X0)) ) | ~spl2737_3228),
% 59.09/9.98    inference(forward_demodulation,[],[f85435,f50171])).
% 59.09/9.98  tff(f85435,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK894(X0,X3)),X3)) | ~linorder(X0)) ) | ~spl2737_3228),
% 59.09/9.98    inference(avatar_component_clause,[],[f85434])).
% 59.09/9.98  tff(f85436,plain,(
% 59.09/9.98    spl2737_3228),
% 59.09/9.98    inference(avatar_split_clause,[],[f53015,f85434])).
% 59.09/9.98  tff(f53015,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK894(X0,X3)),X3)) | ~linorder(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f41945])).
% 59.09/9.98  tff(f41945,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK894(X0,X1)),X3)) | ~linorder(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29828])).
% 59.09/9.98  tff(f29828,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK894(X0,X1)),X3))) | ~linorder(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK894])],[f22350,f29827])).
% 59.09/9.98  tff(f29827,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))) => ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK894(X0,X1)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f22350,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (X1 != X3 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))) | ~linorder(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13761])).
% 59.09/9.98  tff(f13761,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : ? [X2 : X0] : ! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) => X1 != X3))),
% 59.09/9.98    inference(rectify,[],[f836])).
% 59.09/9.98  tff(f836,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linorder(X0) => ! [X41 : X0] : ? [X96 : X0] : ! [X63 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X96),X63)) => X41 != X63))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_835_pinf_I4_J)).
% 59.09/9.98  tff(f85424,plain,(
% 59.09/9.98    spl2737_3227 | ~spl2737_3226),
% 59.09/9.98    inference(avatar_split_clause,[],[f85420,f85417,f85422])).
% 59.09/9.98  tff(f85422,plain,(
% 59.09/9.98    spl2737_3227 <=> ! [X0 : $tType,X2 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X2),zero_zero(X0)) = X2 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3227])])).
% 59.09/9.98  tff(f85417,plain,(
% 59.09/9.98    spl2737_3226 <=> ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X2) = X2 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3226])])).
% 59.09/9.98  tff(f85420,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X2),zero_zero(X0)) = X2 | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3226),
% 59.09/9.98    inference(forward_demodulation,[],[f85418,f50171])).
% 59.09/9.98  tff(f85418,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X2) = X2 | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3226),
% 59.09/9.98    inference(avatar_component_clause,[],[f85417])).
% 59.09/9.98  tff(f85419,plain,(
% 59.09/9.98    spl2737_3226),
% 59.09/9.98    inference(avatar_split_clause,[],[f52956,f85417])).
% 59.09/9.98  tff(f52956,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X2) = X2 | ~cancel1802427076303600483id_add(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f41141])).
% 59.09/9.98  tff(f41141,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X2 | zero_zero(X0) != X1 | ~cancel1802427076303600483id_add(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29640])).
% 59.09/9.98  tff(f29640,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X2 | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) != X2)) | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21657])).
% 59.09/9.98  tff(f21657,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X2 <=> zero_zero(X0) = X1) | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f13186])).
% 59.09/9.98  tff(f13186,plain,(
% 59.09/9.98    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X2 <=> zero_zero(X0) = X1))),
% 59.09/9.98    inference(rectify,[],[f98])).
% 59.09/9.98  tff(f98,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X49 : X0,X7 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X49),X7) = X7 <=> zero_zero(X0) = X49))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_add__cancel__left__left)).
% 59.09/9.98  tff(f85408,plain,(
% 59.09/9.98    spl2737_3225 | ~spl2737_3224),
% 59.09/9.98    inference(avatar_split_clause,[],[f85404,f85401,f85406])).
% 59.09/9.98  tff(f85406,plain,(
% 59.09/9.98    spl2737_3225 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~semiri1453513574482234551roduct(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3225])])).
% 59.09/9.98  tff(f85401,plain,(
% 59.09/9.98    spl2737_3224 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~semiri1453513574482234551roduct(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3224])])).
% 59.09/9.98  tff(f85404,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~semiri1453513574482234551roduct(X0)) ) | ~spl2737_3224),
% 59.09/9.98    inference(forward_demodulation,[],[f85402,f50171])).
% 59.09/9.98  tff(f85402,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~semiri1453513574482234551roduct(X0)) ) | ~spl2737_3224),
% 59.09/9.98    inference(avatar_component_clause,[],[f85401])).
% 59.09/9.98  tff(f85403,plain,(
% 59.09/9.98    spl2737_3224),
% 59.09/9.98    inference(avatar_split_clause,[],[f52919,f85401])).
% 59.09/9.98  tff(f52919,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~semiri1453513574482234551roduct(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f40834])).
% 59.09/9.98  tff(f40834,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 | zero_zero(X0) != X2 | ~semiri1453513574482234551roduct(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29558])).
% 59.09/9.98  tff(f29558,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) != X1)) | ~semiri1453513574482234551roduct(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21349])).
% 59.09/9.98  tff(f21349,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 <=> zero_zero(X0) = X2) | ~semiri1453513574482234551roduct(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12966])).
% 59.09/9.98  tff(f12966,plain,(
% 59.09/9.98    ! [X0 : $tType] : (semiri1453513574482234551roduct(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) = X1 <=> zero_zero(X0) = X2))),
% 59.09/9.98    inference(rectify,[],[f268])).
% 59.09/9.98  tff(f268,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (semiri1453513574482234551roduct(X0) => ! [X49 : X0,X7 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X49),X7) = X49 <=> zero_zero(X0) = X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_add__0__iff)).
% 59.09/9.98  tff(f85399,plain,(
% 59.09/9.98    spl2737_3223),
% 59.09/9.98    inference(avatar_split_clause,[],[f52880,f85397])).
% 59.09/9.98  tff(f85397,plain,(
% 59.09/9.98    spl2737_3223 <=> ! [X0 : $tType] : (~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),top_top(set(X0))) | ~idom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3223])])).
% 59.09/9.98  tff(f52880,plain,(
% 59.09/9.98    ( ! [X0 : $tType] : (~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)),top_top(set(X0))) | ~idom(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f40484])).
% 59.09/9.98  tff(f40484,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 | ~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) | ~idom(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29473])).
% 59.09/9.98  tff(f29473,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ((inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) | zero_zero(X0) = X1) & (zero_zero(X0) != X1 | ~inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))))) | ~idom(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f21060])).
% 59.09/9.98  tff(f21060,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1) | ~idom(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12727])).
% 59.09/9.98  tff(f12727,plain,(
% 59.09/9.98    ! [X0 : $tType] : (idom(X0) => ! [X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),top_top(set(X0))) <=> zero_zero(X0) != X1))),
% 59.09/9.98    inference(rectify,[],[f6152])).
% 59.09/9.98  tff(f6152,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (idom(X0) => ! [X7 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),top_top(set(X0))) <=> zero_zero(X0) != X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6151_inj__mult__left)).
% 59.09/9.98  tff(f85388,plain,(
% 59.09/9.98    spl2737_3222 | ~spl2737_3221),
% 59.09/9.98    inference(avatar_split_clause,[],[f85384,f85381,f85386])).
% 59.09/9.98  tff(f85386,plain,(
% 59.09/9.98    spl2737_3222 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),one_one(X0)),X1) = X1 | ~ring_15535105094025558882visors(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3222])])).
% 59.09/9.98  tff(f85381,plain,(
% 59.09/9.98    spl2737_3221 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~ring_15535105094025558882visors(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3221])])).
% 59.09/9.98  tff(f85384,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),one_one(X0)),X1) = X1 | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3221),
% 59.09/9.98    inference(forward_demodulation,[],[f85382,f50171])).
% 59.09/9.98  tff(f85382,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3221),
% 59.09/9.98    inference(avatar_component_clause,[],[f85381])).
% 59.09/9.98  tff(f85383,plain,(
% 59.09/9.98    spl2737_3221),
% 59.09/9.98    inference(avatar_split_clause,[],[f52855,f85381])).
% 59.09/9.98  tff(f52855,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f40346])).
% 59.09/9.98  tff(f40346,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X1 | one_one(X0) != X2 | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29410])).
% 59.09/9.98  tff(f85372,plain,(
% 59.09/9.98    spl2737_3220 | ~spl2737_3219),
% 59.09/9.98    inference(avatar_split_clause,[],[f85368,f85365,f85370])).
% 59.09/9.98  tff(f85370,plain,(
% 59.09/9.98    spl2737_3220 <=> ! [X0 : $tType,X2 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),X2),one_one(X0)) = X2 | ~ring_15535105094025558882visors(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3220])])).
% 59.09/9.98  tff(f85365,plain,(
% 59.09/9.98    spl2737_3219 <=> ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X2) = X2 | ~ring_15535105094025558882visors(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3219])])).
% 59.09/9.98  tff(f85368,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),X2),one_one(X0)) = X2 | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3219),
% 59.09/9.98    inference(forward_demodulation,[],[f85366,f50171])).
% 59.09/9.98  tff(f85366,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X2) = X2 | ~ring_15535105094025558882visors(X0)) ) | ~spl2737_3219),
% 59.09/9.98    inference(avatar_component_clause,[],[f85365])).
% 59.09/9.98  tff(f85367,plain,(
% 59.09/9.98    spl2737_3219),
% 59.09/9.98    inference(avatar_split_clause,[],[f52853,f85365])).
% 59.09/9.98  tff(f52853,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X2) = X2 | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f40343])).
% 59.09/9.98  tff(f40343,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2) = X2 | one_one(X0) != X1 | ~ring_15535105094025558882visors(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f29408])).
% 59.09/9.98  tff(f85363,plain,(
% 59.09/9.98    spl2737_3218),
% 59.09/9.98    inference(avatar_split_clause,[],[f52827,f85361])).
% 59.09/9.98  tff(f85361,plain,(
% 59.09/9.98    spl2737_3218 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),zero_zero(X0))) | ~linordered_idom(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3218])])).
% 59.09/9.98  tff(f52827,plain,(
% 59.09/9.98    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),zero_zero(X0))) | ~linordered_idom(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f40014])).
% 59.09/9.98  tff(f40014,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) != X1 | ~linordered_idom(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f20807])).
% 59.09/9.98  tff(f20807,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ((one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) = X1) & (zero_zero(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) != X1)) | ~linordered_idom(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12508])).
% 59.09/9.98  tff(f12508,plain,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : ((zero_zero(X0) != X1 => one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1))) & (zero_zero(X0) = X1 => zero_zero(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X1)))))),
% 59.09/9.98    inference(rectify,[],[f1899])).
% 59.09/9.98  tff(f1899,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (linordered_idom(X0) => ! [X7 : X0] : ((zero_zero(X0) != X7 => one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X7))) & (zero_zero(X0) = X7 => zero_zero(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,sgn_sgn(X0),X7)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1898_abs__sgn__eq)).
% 59.09/9.98  tff(f85346,plain,(
% 59.09/9.98    spl2737_3217 | ~spl2737_3216),
% 59.09/9.98    inference(avatar_split_clause,[],[f85342,f85339,f85344])).
% 59.09/9.98  tff(f85344,plain,(
% 59.09/9.98    spl2737_3217 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),one_one(X0)),zero_zero(X0))) | ~euclid3725896446679973847miring(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3217])])).
% 59.09/9.98  tff(f85339,plain,(
% 59.09/9.98    spl2737_3216 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))) | ~euclid3725896446679973847miring(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3216])])).
% 59.09/9.98  tff(f85342,plain,(
% 59.09/9.98    ( ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),one_one(X0)),zero_zero(X0))) | ~euclid3725896446679973847miring(X0)) ) | ~spl2737_3216),
% 59.09/9.98    inference(forward_demodulation,[],[f85340,f50171])).
% 59.09/9.98  tff(f85340,plain,(
% 59.09/9.98    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))) | ~euclid3725896446679973847miring(X0)) ) | ~spl2737_3216),
% 59.09/9.98    inference(avatar_component_clause,[],[f85339])).
% 59.09/9.98  tff(f85341,plain,(
% 59.09/9.98    spl2737_3216),
% 59.09/9.98    inference(avatar_split_clause,[],[f52768,f85339])).
% 59.09/9.98  tff(f52768,plain,(
% 59.09/9.98    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))) | ~euclid3725896446679973847miring(X0)) )),
% 59.09/9.98    inference(equality_resolution,[],[f39175])).
% 59.09/9.98  tff(f39175,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),one_one(X0))) | ~euclid3725896446679973847miring(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28984])).
% 59.09/9.98  tff(f28984,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),one_one(X0))) | zero_zero(X0) = X1 | aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) != aa(X0,nat,euclid6346220572633701492n_size(X0),X1)) & ((zero_zero(X0) != X1 & aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) = aa(X0,nat,euclid6346220572633701492n_size(X0),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),one_one(X0))))) | ~euclid3725896446679973847miring(X0))),
% 59.09/9.98    inference(flattening,[],[f28983])).
% 59.09/9.98  tff(f28983,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),one_one(X0))) | (zero_zero(X0) = X1 | aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) != aa(X0,nat,euclid6346220572633701492n_size(X0),X1))) & ((zero_zero(X0) != X1 & aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) = aa(X0,nat,euclid6346220572633701492n_size(X0),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),one_one(X0))))) | ~euclid3725896446679973847miring(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f20253])).
% 59.09/9.98  tff(f20253,plain,(
% 59.09/9.98    ! [X0 : $tType] : (! [X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),one_one(X0))) <=> (zero_zero(X0) != X1 & aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) = aa(X0,nat,euclid6346220572633701492n_size(X0),X1))) | ~euclid3725896446679973847miring(X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f12036])).
% 59.09/9.98  tff(f12036,plain,(
% 59.09/9.98    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),one_one(X0))) <=> (zero_zero(X0) != X1 & aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) = aa(X0,nat,euclid6346220572633701492n_size(X0),X1))))),
% 59.09/9.98    inference(rectify,[],[f7024])).
% 59.09/9.98  tff(f7024,axiom,(
% 59.09/9.98    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X7),one_one(X0))) <=> (zero_zero(X0) != X7 & aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) = aa(X0,nat,euclid6346220572633701492n_size(X0),X7))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7023_unit__iff__euclidean__size)).
% 59.09/9.98  tff(f85337,plain,(
% 59.09/9.98    spl2737_3215),
% 59.09/9.98    inference(avatar_split_clause,[],[f52585,f85335])).
% 59.09/9.98  tff(f85335,plain,(
% 59.09/9.98    spl2737_3215 <=> ! [X2 : $tType,X4 : real,X3 : X2,X1 : real] : (sP25(X2,zero_zero(X2),X1,X3,X4) | real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,zero_zero(X2)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3215])])).
% 59.09/9.98  tff(f52585,plain,(
% 59.09/9.98    ( ! [X2 : $tType,X3 : X2,X1 : real,X4 : real] : (sP25(X2,zero_zero(X2),X1,X3,X4) | real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,zero_zero(X2))) )),
% 59.09/9.98    inference(equality_resolution,[],[f37223])).
% 59.09/9.98  tff(f37223,plain,(
% 59.09/9.98    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : real,X4 : real] : (sP25(X2,X0,X1,X3,X4) | real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,X0) | zero_zero(X2) != X0) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28327])).
% 59.09/9.98  tff(f28327,plain,(
% 59.09/9.98    ! [X0 : X2,X1 : real,X2 : $tType,X3 : X2,X4 : real] : ((sP25(X2,X0,X1,X3,X4) | (real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,X0) & zero_zero(real) != X1) | (zero_zero(X2) != X0 & zero_zero(real) = X1)) & (((real_V8093663219630862766scaleR(X2,X4,X3) = real_V8093663219630862766scaleR(X2,X1,X0) | zero_zero(real) = X1) & (zero_zero(X2) = X0 | zero_zero(real) != X1)) | ~sP25(X2,X0,X1,X3,X4)))),
% 59.09/9.98    inference(rectify,[],[f28326])).
% 59.09/9.98  tff(f28326,plain,(
% 59.09/9.98    ! [X1 : X0,X3 : real,X0 : $tType,X4 : X0,X2 : real] : ((sP25(X0,X1,X3,X4,X2) | (real_V8093663219630862766scaleR(X0,X2,X4) != real_V8093663219630862766scaleR(X0,X3,X1) & zero_zero(real) != X3) | (zero_zero(X0) != X1 & zero_zero(real) = X3)) & (((real_V8093663219630862766scaleR(X0,X2,X4) = real_V8093663219630862766scaleR(X0,X3,X1) | zero_zero(real) = X3) & (zero_zero(X0) = X1 | zero_zero(real) != X3)) | ~sP25(X0,X1,X3,X4,X2)))),
% 59.09/9.98    inference(flattening,[],[f28325])).
% 59.09/9.98  tff(f28325,plain,(
% 59.09/9.98    ! [X1 : X0,X3 : real,X0 : $tType,X4 : X0,X2 : real] : ((sP25(X0,X1,X3,X4,X2) | ((real_V8093663219630862766scaleR(X0,X2,X4) != real_V8093663219630862766scaleR(X0,X3,X1) & zero_zero(real) != X3) | (zero_zero(X0) != X1 & zero_zero(real) = X3))) & (((real_V8093663219630862766scaleR(X0,X2,X4) = real_V8093663219630862766scaleR(X0,X3,X1) | zero_zero(real) = X3) & (zero_zero(X0) = X1 | zero_zero(real) != X3)) | ~sP25(X0,X1,X3,X4,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27129])).
% 59.09/9.98  tff(f27129,plain,(
% 59.09/9.98    ! [X1 : X0,X3 : real,X0 : $tType,X4 : X0,X2 : real] : (sP25(X0,X1,X3,X4,X2) <=> ((real_V8093663219630862766scaleR(X0,X2,X4) = real_V8093663219630862766scaleR(X0,X3,X1) | zero_zero(real) = X3) & (zero_zero(X0) = X1 | zero_zero(real) != X3)))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])])).
% 59.09/9.98  tff(f85333,plain,(
% 59.09/9.98    spl2737_3214),
% 59.09/9.98    inference(avatar_split_clause,[],[f52579,f85331])).
% 59.09/9.98  tff(f85331,plain,(
% 59.09/9.98    spl2737_3214 <=> ! [X2 : $tType,X4 : real,X3 : X2,X1 : real] : (sP23(X2,zero_zero(X2),X1,X3,X4) | real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,zero_zero(X2)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3214])])).
% 59.09/9.98  tff(f52579,plain,(
% 59.09/9.98    ( ! [X2 : $tType,X3 : X2,X1 : real,X4 : real] : (sP23(X2,zero_zero(X2),X1,X3,X4) | real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,zero_zero(X2))) )),
% 59.09/9.98    inference(equality_resolution,[],[f37214])).
% 59.09/9.98  tff(f37214,plain,(
% 59.09/9.98    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : real,X4 : real] : (sP23(X2,X0,X1,X3,X4) | real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,X0) | zero_zero(X2) != X0) )),
% 59.09/9.98    inference(cnf_transformation,[],[f28323])).
% 59.09/9.98  tff(f28323,plain,(
% 59.09/9.98    ! [X0 : X2,X1 : real,X2 : $tType,X3 : X2,X4 : real] : ((sP23(X2,X0,X1,X3,X4) | (real_V8093663219630862766scaleR(X2,X4,X3) != real_V8093663219630862766scaleR(X2,X1,X0) & zero_zero(real) != X1) | (zero_zero(X2) != X0 & zero_zero(real) = X1)) & (((real_V8093663219630862766scaleR(X2,X4,X3) = real_V8093663219630862766scaleR(X2,X1,X0) | zero_zero(real) = X1) & (zero_zero(X2) = X0 | zero_zero(real) != X1)) | ~sP23(X2,X0,X1,X3,X4)))),
% 59.09/9.98    inference(rectify,[],[f28322])).
% 59.09/9.98  tff(f28322,plain,(
% 59.09/9.98    ! [X4 : X0,X2 : real,X0 : $tType,X3 : X0,X1 : real] : ((sP23(X0,X4,X2,X3,X1) | (real_V8093663219630862766scaleR(X0,X1,X3) != real_V8093663219630862766scaleR(X0,X2,X4) & zero_zero(real) != X2) | (zero_zero(X0) != X4 & zero_zero(real) = X2)) & (((real_V8093663219630862766scaleR(X0,X1,X3) = real_V8093663219630862766scaleR(X0,X2,X4) | zero_zero(real) = X2) & (zero_zero(X0) = X4 | zero_zero(real) != X2)) | ~sP23(X0,X4,X2,X3,X1)))),
% 59.09/9.98    inference(flattening,[],[f28321])).
% 59.09/9.98  tff(f28321,plain,(
% 59.09/9.98    ! [X4 : X0,X2 : real,X0 : $tType,X3 : X0,X1 : real] : ((sP23(X0,X4,X2,X3,X1) | ((real_V8093663219630862766scaleR(X0,X1,X3) != real_V8093663219630862766scaleR(X0,X2,X4) & zero_zero(real) != X2) | (zero_zero(X0) != X4 & zero_zero(real) = X2))) & (((real_V8093663219630862766scaleR(X0,X1,X3) = real_V8093663219630862766scaleR(X0,X2,X4) | zero_zero(real) = X2) & (zero_zero(X0) = X4 | zero_zero(real) != X2)) | ~sP23(X0,X4,X2,X3,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27126])).
% 59.09/9.98  tff(f27126,plain,(
% 59.09/9.98    ! [X4 : X0,X2 : real,X0 : $tType,X3 : X0,X1 : real] : (sP23(X0,X4,X2,X3,X1) <=> ((real_V8093663219630862766scaleR(X0,X1,X3) = real_V8093663219630862766scaleR(X0,X2,X4) | zero_zero(real) = X2) & (zero_zero(X0) = X4 | zero_zero(real) != X2)))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])])).
% 59.09/9.98  tff(f85329,plain,(
% 59.09/9.98    spl2737_3213),
% 59.09/9.98    inference(avatar_split_clause,[],[f52524,f85326])).
% 59.09/9.98  tff(f85326,plain,(
% 59.09/9.98    spl2737_3213 <=> aa(bool,product_prod(code_integer,bool),product_Pair(code_integer,bool,zero_zero(code_integer)),fFalse) = code_bit_cut_integer(zero_zero(code_integer))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3213])])).
% 59.09/9.98  tff(f52524,plain,(
% 59.09/9.98    aa(bool,product_prod(code_integer,bool),product_Pair(code_integer,bool,zero_zero(code_integer)),fFalse) = code_bit_cut_integer(zero_zero(code_integer))),
% 59.09/9.98    inference(equality_resolution,[],[f36336])).
% 59.09/9.98  tff(f36336,plain,(
% 59.09/9.98    ( ! [X0 : code_integer] : (aa(bool,product_prod(code_integer,bool),product_Pair(code_integer,bool,zero_zero(code_integer)),fFalse) = code_bit_cut_integer(X0) | zero_zero(code_integer) != X0) )),
% 59.09/9.98    inference(cnf_transformation,[],[f18396])).
% 59.09/9.98  tff(f18396,plain,(
% 59.09/9.98    ! [X0 : code_integer] : ((code_bit_cut_integer(X0) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,bool),product_case_prod(code_integer,code_integer,product_prod(code_integer,bool),aTP_Lamp_kp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,bool))),X0)),code_divmod_abs(X0,aa(num,code_integer,numeral_numeral(code_integer),bit0(one2)))) | zero_zero(code_integer) = X0) & (aa(bool,product_prod(code_integer,bool),product_Pair(code_integer,bool,zero_zero(code_integer)),fFalse) = code_bit_cut_integer(X0) | zero_zero(code_integer) != X0))),
% 59.09/9.98    inference(ennf_transformation,[],[f10490])).
% 59.09/9.98  tff(f10490,plain,(
% 59.09/9.98    ! [X0 : code_integer] : ((zero_zero(code_integer) != X0 => code_bit_cut_integer(X0) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,bool),product_case_prod(code_integer,code_integer,product_prod(code_integer,bool),aTP_Lamp_kp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,bool))),X0)),code_divmod_abs(X0,aa(num,code_integer,numeral_numeral(code_integer),bit0(one2))))) & (zero_zero(code_integer) = X0 => aa(bool,product_prod(code_integer,bool),product_Pair(code_integer,bool,zero_zero(code_integer)),fFalse) = code_bit_cut_integer(X0)))),
% 59.09/9.98    inference(rectify,[],[f4519])).
% 59.09/9.98  tff(f4519,axiom,(
% 59.09/9.98    ! [X18 : code_integer] : ((zero_zero(code_integer) != X18 => code_bit_cut_integer(X18) = aa(product_prod(code_integer,code_integer),product_prod(code_integer,bool),product_case_prod(code_integer,code_integer,product_prod(code_integer,bool),aTP_Lamp_kp(code_integer,fun(code_integer,fun(code_integer,product_prod(code_integer,bool))),X18)),code_divmod_abs(X18,aa(num,code_integer,numeral_numeral(code_integer),bit0(one2))))) & (zero_zero(code_integer) = X18 => code_bit_cut_integer(X18) = aa(bool,product_prod(code_integer,bool),product_Pair(code_integer,bool,zero_zero(code_integer)),fFalse)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4518_bit__cut__integer__code)).
% 59.09/9.98  tff(f85324,plain,(
% 59.09/9.98    spl2737_3212),
% 59.09/9.98    inference(avatar_split_clause,[],[f51897,f85322])).
% 59.09/9.98  tff(f85322,plain,(
% 59.09/9.98    spl2737_3212 <=> ! [X0 : nat,X1 : extended_enat] : (extended_enat2(sK1944(X0,X1)) = X1 | extended_enat2(X0) != extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3212])])).
% 59.09/9.98  tff(f51897,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : extended_enat] : (extended_enat2(sK1944(X0,X1)) = X1 | extended_enat2(X0) != extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),X1)) )),
% 59.09/9.98    inference(definition_unfolding,[],[f46322,f35838])).
% 59.09/9.98  tff(f35838,plain,(
% 59.09/9.98    ( ! [X0 : extended_enat] : (extended_eSuc(X0) = extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f10008])).
% 59.09/9.98  tff(f10008,plain,(
% 59.09/9.98    ! [X0 : extended_enat] : extended_eSuc(X0) = extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),X0)),
% 59.09/9.98    inference(rectify,[],[f7232])).
% 59.09/9.98  tff(f7232,axiom,(
% 59.09/9.98    ! [X23 : extended_enat] : extended_eSuc(X23) = extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),X23)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7231_eSuc__def)).
% 59.09/9.98  tff(f46322,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : extended_enat] : (extended_enat2(sK1944(X0,X1)) = X1 | extended_enat2(X0) != extended_eSuc(X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32002])).
% 59.09/9.98  tff(f32002,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : extended_enat] : ((extended_enat2(X0) = extended_eSuc(X1) | ! [X2 : nat] : (extended_enat2(X2) != X1 | aa(nat,nat,suc,X2) != X0)) & ((extended_enat2(sK1944(X0,X1)) = X1 & aa(nat,nat,suc,sK1944(X0,X1)) = X0) | extended_enat2(X0) != extended_eSuc(X1)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1944])],[f32000,f32001])).
% 59.09/9.98  tff(f32001,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : extended_enat] : (? [X3 : nat] : (extended_enat2(X3) = X1 & aa(nat,nat,suc,X3) = X0) => (extended_enat2(sK1944(X0,X1)) = X1 & aa(nat,nat,suc,sK1944(X0,X1)) = X0))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f32000,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : extended_enat] : ((extended_enat2(X0) = extended_eSuc(X1) | ! [X2 : nat] : (extended_enat2(X2) != X1 | aa(nat,nat,suc,X2) != X0)) & (? [X3 : nat] : (extended_enat2(X3) = X1 & aa(nat,nat,suc,X3) = X0) | extended_enat2(X0) != extended_eSuc(X1)))),
% 59.09/9.98    inference(rectify,[],[f31999])).
% 59.09/9.98  tff(f31999,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : extended_enat] : ((extended_enat2(X0) = extended_eSuc(X1) | ! [X2 : nat] : (extended_enat2(X2) != X1 | aa(nat,nat,suc,X2) != X0)) & (? [X2 : nat] : (extended_enat2(X2) = X1 & aa(nat,nat,suc,X2) = X0) | extended_enat2(X0) != extended_eSuc(X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f16456])).
% 59.09/9.98  tff(f16456,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : extended_enat] : (extended_enat2(X0) = extended_eSuc(X1) <=> ? [X2 : nat] : (extended_enat2(X2) = X1 & aa(nat,nat,suc,X2) = X0))),
% 59.09/9.98    inference(rectify,[],[f7235])).
% 59.09/9.98  tff(f7235,axiom,(
% 59.09/9.98    ! [X15 : nat,X14 : extended_enat] : (extended_enat2(X15) = extended_eSuc(X14) <=> ? [X62 : nat] : (extended_enat2(X62) = X14 & aa(nat,nat,suc,X62) = X15))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7234_enat__eSuc__iff)).
% 59.09/9.98  tff(f85320,plain,(
% 59.09/9.98    spl2737_3211),
% 59.09/9.98    inference(avatar_split_clause,[],[f51894,f85318])).
% 59.09/9.98  tff(f85318,plain,(
% 59.09/9.98    spl2737_3211 <=> ! [X0 : extended_enat,X1 : nat] : (extended_enat2(sK1943(X0,X1)) = X0 | extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),X0) != extended_enat2(X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3211])])).
% 59.09/9.98  tff(f51894,plain,(
% 59.09/9.98    ( ! [X0 : extended_enat,X1 : nat] : (extended_enat2(sK1943(X0,X1)) = X0 | extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),X0) != extended_enat2(X1)) )),
% 59.09/9.98    inference(definition_unfolding,[],[f46319,f35838])).
% 59.09/9.98  tff(f46319,plain,(
% 59.09/9.98    ( ! [X0 : extended_enat,X1 : nat] : (extended_enat2(sK1943(X0,X1)) = X0 | extended_eSuc(X0) != extended_enat2(X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31998])).
% 59.09/9.98  tff(f31998,plain,(
% 59.09/9.98    ! [X0 : extended_enat,X1 : nat] : ((extended_eSuc(X0) = extended_enat2(X1) | ! [X2 : nat] : (extended_enat2(X2) != X0 | aa(nat,nat,suc,X2) != X1)) & ((extended_enat2(sK1943(X0,X1)) = X0 & aa(nat,nat,suc,sK1943(X0,X1)) = X1) | extended_eSuc(X0) != extended_enat2(X1)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1943])],[f31996,f31997])).
% 59.09/9.98  tff(f31997,plain,(
% 59.09/9.98    ! [X0 : extended_enat,X1 : nat] : (? [X3 : nat] : (extended_enat2(X3) = X0 & aa(nat,nat,suc,X3) = X1) => (extended_enat2(sK1943(X0,X1)) = X0 & aa(nat,nat,suc,sK1943(X0,X1)) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31996,plain,(
% 59.09/9.98    ! [X0 : extended_enat,X1 : nat] : ((extended_eSuc(X0) = extended_enat2(X1) | ! [X2 : nat] : (extended_enat2(X2) != X0 | aa(nat,nat,suc,X2) != X1)) & (? [X3 : nat] : (extended_enat2(X3) = X0 & aa(nat,nat,suc,X3) = X1) | extended_eSuc(X0) != extended_enat2(X1)))),
% 59.09/9.98    inference(rectify,[],[f31995])).
% 59.09/9.98  tff(f31995,plain,(
% 59.09/9.98    ! [X0 : extended_enat,X1 : nat] : ((extended_eSuc(X0) = extended_enat2(X1) | ! [X2 : nat] : (extended_enat2(X2) != X0 | aa(nat,nat,suc,X2) != X1)) & (? [X2 : nat] : (extended_enat2(X2) = X0 & aa(nat,nat,suc,X2) = X1) | extended_eSuc(X0) != extended_enat2(X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f16455])).
% 59.09/9.98  tff(f16455,plain,(
% 59.09/9.98    ! [X0 : extended_enat,X1 : nat] : (extended_eSuc(X0) = extended_enat2(X1) <=> ? [X2 : nat] : (extended_enat2(X2) = X0 & aa(nat,nat,suc,X2) = X1))),
% 59.09/9.98    inference(rectify,[],[f7236])).
% 59.09/9.98  tff(f7236,axiom,(
% 59.09/9.98    ! [X14 : extended_enat,X15 : nat] : (extended_enat2(X15) = extended_eSuc(X14) <=> ? [X62 : nat] : (extended_enat2(X62) = X14 & aa(nat,nat,suc,X62) = X15))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7235_eSuc__enat__iff)).
% 59.09/9.98  tff(f85308,plain,(
% 59.09/9.98    spl2737_3210 | ~spl2737_111 | ~spl2737_2074 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494 | ~spl2737_3209),
% 59.09/9.98    inference(avatar_split_clause,[],[f85303,f85296,f79175,f78013,f77589,f75729,f64774,f85305])).
% 59.09/9.98  tff(f85305,plain,(
% 59.09/9.98    spl2737_3210 <=> divide_divide(complex,one_one(complex),imaginary_unit) = complex2(re(imaginary_unit),im(divide_divide(complex,one_one(complex),imaginary_unit)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3210])])).
% 59.09/9.98  tff(f85296,plain,(
% 59.09/9.98    spl2737_3209 <=> aa(complex,complex,uminus_uminus(complex),imaginary_unit) = complex2(re(imaginary_unit),aa(real,real,uminus_uminus(real),im(imaginary_unit)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3209])])).
% 59.09/9.98  tff(f85303,plain,(
% 59.09/9.98    divide_divide(complex,one_one(complex),imaginary_unit) = complex2(re(imaginary_unit),im(divide_divide(complex,one_one(complex),imaginary_unit))) | (~spl2737_111 | ~spl2737_2074 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494 | ~spl2737_3209)),
% 59.09/9.98    inference(forward_demodulation,[],[f85302,f78422])).
% 59.09/9.98  tff(f85302,plain,(
% 59.09/9.98    aa(complex,complex,inverse_inverse(complex),imaginary_unit) = complex2(re(imaginary_unit),im(divide_divide(complex,one_one(complex),imaginary_unit))) | (~spl2737_111 | ~spl2737_2074 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494 | ~spl2737_3209)),
% 59.09/9.98    inference(forward_demodulation,[],[f85301,f75731])).
% 59.09/9.98  tff(f85301,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = complex2(re(imaginary_unit),im(divide_divide(complex,one_one(complex),imaginary_unit))) | (~spl2737_111 | ~spl2737_2074 | ~spl2737_2328 | ~spl2737_2422 | ~spl2737_2494 | ~spl2737_3209)),
% 59.09/9.98    inference(forward_demodulation,[],[f85300,f80441])).
% 59.09/9.98  tff(f85300,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = complex2(re(imaginary_unit),aa(real,real,cos(real),pi)) | (~spl2737_2422 | ~spl2737_3209)),
% 59.09/9.98    inference(forward_demodulation,[],[f85298,f78015])).
% 59.09/9.98  tff(f85298,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = complex2(re(imaginary_unit),aa(real,real,uminus_uminus(real),im(imaginary_unit))) | ~spl2737_3209),
% 59.09/9.98    inference(avatar_component_clause,[],[f85296])).
% 59.09/9.98  tff(f85299,plain,(
% 59.09/9.98    spl2737_3209),
% 59.09/9.98    inference(avatar_split_clause,[],[f50521,f85296])).
% 59.09/9.98  tff(f50521,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = complex2(re(imaginary_unit),aa(real,real,uminus_uminus(real),im(imaginary_unit)))),
% 59.09/9.98    inference(definition_unfolding,[],[f35474,f35871])).
% 59.09/9.98  tff(f35474,plain,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = cnj(imaginary_unit)),
% 59.09/9.98    inference(cnf_transformation,[],[f7387])).
% 59.09/9.98  tff(f7387,axiom,(
% 59.09/9.98    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = cnj(imaginary_unit)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7386_complex__cnj__i)).
% 59.09/9.98  tff(f85294,plain,(
% 59.09/9.98    spl2737_3208),
% 59.09/9.98    inference(avatar_split_clause,[],[f50494,f85292])).
% 59.09/9.98  tff(f85292,plain,(
% 59.09/9.98    spl2737_3208 <=> ! [X5 : nat,X6 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X0 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (X0 = X4 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3208])])).
% 59.09/9.98  tff(f50494,plain,(
% 59.09/9.98    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X0 = X4 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f34554])).
% 59.09/9.98  tff(f34554,plain,(
% 59.09/9.98    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((vEBT_Node(X4,X5,X6,X7) = vEBT_Node(X0,X1,X2,X3) | X3 != X7 | X2 != X6 | X1 != X5 | X0 != X4) & ((X3 = X7 & X2 = X6 & X1 = X5 & X0 = X4) | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)))),
% 59.09/9.98    inference(flattening,[],[f34553])).
% 59.09/9.98  tff(f34553,plain,(
% 59.09/9.98    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((vEBT_Node(X4,X5,X6,X7) = vEBT_Node(X0,X1,X2,X3) | (X3 != X7 | X2 != X6 | X1 != X5 | X0 != X4)) & ((X3 = X7 & X2 = X6 & X1 = X5 & X0 = X4) | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)))),
% 59.09/9.98    inference(nnf_transformation,[],[f18345])).
% 59.09/9.98  tff(f18345,plain,(
% 59.09/9.98    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = vEBT_Node(X0,X1,X2,X3) <=> (X3 = X7 & X2 = X6 & X1 = X5 & X0 = X4))),
% 59.09/9.98    inference(rectify,[],[f296])).
% 59.09/9.98  tff(f296,axiom,(
% 59.09/9.98    ! [X76 : option(product_prod(nat,nat)),X77 : nat,X78 : list(vEBT_VEBT),X79 : vEBT_VEBT,X80 : option(product_prod(nat,nat)),X81 : nat,X82 : list(vEBT_VEBT),X83 : vEBT_VEBT] : (vEBT_Node(X76,X77,X78,X79) = vEBT_Node(X80,X81,X82,X83) <=> (X79 = X83 & X78 = X82 & X77 = X81 & X76 = X80))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_VEBT_Oinject_I1_J)).
% 59.09/9.98  tff(f85290,plain,(
% 59.09/9.98    spl2737_3207),
% 59.09/9.98    inference(avatar_split_clause,[],[f50466,f85288])).
% 59.09/9.98  tff(f85288,plain,(
% 59.09/9.98    spl2737_3207 <=> ! [X1 : $tType,X2 : $tType,X4 : fun(X2,bool),X0 : fun(X2,fun(X1,X1)),X3 : fun(X1,bool)] : (pp(aa(X1,bool,X3,sK2728(X1,X2,X0,X3,X4))) | ~sP565(X1,X2,X0,X3,X4))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3207])])).
% 59.09/9.98  tff(f50466,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X1,bool),X0 : fun(X2,fun(X1,X1)),X4 : fun(X2,bool)] : (pp(aa(X1,bool,X3,sK2728(X1,X2,X0,X3,X4))) | ~sP565(X1,X2,X0,X3,X4)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f34534])).
% 59.09/9.98  tff(f34534,plain,(
% 59.09/9.98    ! [X0 : fun(X2,fun(X1,X1)),X1 : $tType,X2 : $tType,X3 : fun(X1,bool),X4 : fun(X2,bool)] : ((~pp(aa(X1,bool,X3,aa(X1,X1,aa(X2,fun(X1,X1),X0,sK2727(X1,X2,X0,X3,X4)),sK2728(X1,X2,X0,X3,X4)))) & pp(aa(X1,bool,X3,sK2728(X1,X2,X0,X3,X4))) & pp(aa(X2,bool,X4,sK2727(X1,X2,X0,X3,X4)))) | ~sP565(X1,X2,X0,X3,X4))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2727,sK2728])],[f34532,f34533])).
% 59.09/9.98  tff(f34533,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X2,fun(X1,X1)),X3 : fun(X1,bool),X4 : fun(X2,bool)] : (? [X5 : X2,X6 : X1] : (~pp(aa(X1,bool,X3,aa(X1,X1,aa(X2,fun(X1,X1),X0,X5),X6))) & pp(aa(X1,bool,X3,X6)) & pp(aa(X2,bool,X4,X5))) => (~pp(aa(X1,bool,X3,aa(X1,X1,aa(X2,fun(X1,X1),X0,sK2727(X1,X2,X0,X3,X4)),sK2728(X1,X2,X0,X3,X4)))) & pp(aa(X1,bool,X3,sK2728(X1,X2,X0,X3,X4))) & pp(aa(X2,bool,X4,sK2727(X1,X2,X0,X3,X4)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f34532,plain,(
% 59.09/9.98    ! [X0 : fun(X2,fun(X1,X1)),X1 : $tType,X2 : $tType,X3 : fun(X1,bool),X4 : fun(X2,bool)] : (? [X5 : X2,X6 : X1] : (~pp(aa(X1,bool,X3,aa(X1,X1,aa(X2,fun(X1,X1),X0,X5),X6))) & pp(aa(X1,bool,X3,X6)) & pp(aa(X2,bool,X4,X5))) | ~sP565(X1,X2,X0,X3,X4))),
% 59.09/9.98    inference(rectify,[],[f34531])).
% 59.09/9.98  tff(f34531,plain,(
% 59.09/9.98    ! [X6 : fun(X0,fun(X1,X1)),X1 : $tType,X0 : $tType,X4 : fun(X1,bool),X3 : fun(X0,bool)] : (? [X8 : X0,X9 : X1] : (~pp(aa(X1,bool,X4,aa(X1,X1,aa(X0,fun(X1,X1),X6,X8),X9))) & pp(aa(X1,bool,X4,X9)) & pp(aa(X0,bool,X3,X8))) | ~sP565(X1,X0,X6,X4,X3))),
% 59.09/9.98    inference(nnf_transformation,[],[f27944])).
% 59.09/9.98  tff(f27944,plain,(
% 59.09/9.98    ! [X6 : fun(X0,fun(X1,X1)),X1 : $tType,X0 : $tType,X4 : fun(X1,bool),X3 : fun(X0,bool)] : (? [X8 : X0,X9 : X1] : (~pp(aa(X1,bool,X4,aa(X1,X1,aa(X0,fun(X1,X1),X6,X8),X9))) & pp(aa(X1,bool,X4,X9)) & pp(aa(X0,bool,X3,X8))) | ~sP565(X1,X0,X6,X4,X3))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP565])])).
% 59.09/9.98  tff(f85286,plain,(
% 59.09/9.98    spl2737_3206),
% 59.09/9.98    inference(avatar_split_clause,[],[f50465,f85284])).
% 59.09/9.98  tff(f85284,plain,(
% 59.09/9.98    spl2737_3206 <=> ! [X1 : $tType,X2 : $tType,X4 : fun(X2,bool),X0 : fun(X2,fun(X1,X1)),X3 : fun(X1,bool)] : (pp(aa(X2,bool,X4,sK2727(X1,X2,X0,X3,X4))) | ~sP565(X1,X2,X0,X3,X4))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3206])])).
% 59.09/9.98  tff(f50465,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X1,bool),X0 : fun(X2,fun(X1,X1)),X4 : fun(X2,bool)] : (pp(aa(X2,bool,X4,sK2727(X1,X2,X0,X3,X4))) | ~sP565(X1,X2,X0,X3,X4)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f34534])).
% 59.09/9.98  tff(f85282,plain,(
% 59.09/9.98    spl2737_3205 | ~spl2737_3204),
% 59.09/9.98    inference(avatar_split_clause,[],[f85278,f85275,f85280])).
% 59.09/9.98  tff(f85280,plain,(
% 59.09/9.98    spl2737_3205 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),X0)) | ~sP533(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3205])])).
% 59.09/9.98  tff(f85275,plain,(
% 59.09/9.98    spl2737_3204 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~sP533(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3204])])).
% 59.09/9.98  tff(f85278,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),X0)) | ~sP533(X0,X1,X2)) ) | ~spl2737_3204),
% 59.09/9.98    inference(forward_demodulation,[],[f85276,f50171])).
% 59.09/9.98  tff(f85276,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~sP533(X0,X1,X2)) ) | ~spl2737_3204),
% 59.09/9.98    inference(avatar_component_clause,[],[f85275])).
% 59.09/9.98  tff(f85277,plain,(
% 59.09/9.98    spl2737_3204),
% 59.09/9.98    inference(avatar_split_clause,[],[f49873,f85275])).
% 59.09/9.98  tff(f49873,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~sP533(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f34197])).
% 59.09/9.98  tff(f34197,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : (((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2619(X0,X1,X2))),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),sK2618(X0,X1,X2)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2618(X0,X1,X2)) = 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),plus_plus(nat),X1),X2)),sK2619(X0,X1,X2))),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP533(X0,X1,X2))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2618,sK2619])],[f34195,f34196])).
% 59.09/9.98  tff(f34196,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3) = 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),plus_plus(nat),X1),X2)),X4)),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) => ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2619(X0,X1,X2))),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),sK2618(X0,X1,X2)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2618(X0,X1,X2)) = 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),plus_plus(nat),X1),X2)),sK2619(X0,X1,X2))),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f34195,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X0) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3) = 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),plus_plus(nat),X1),X2)),X4)),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP533(X0,X1,X2))),
% 59.09/9.98    inference(rectify,[],[f34194])).
% 59.09/9.98  tff(f34194,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : (? [X5 : nat,X6 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X5) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X6)),X0) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X5) = 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),plus_plus(nat),X1),X2)),X6)),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP533(X0,X1,X2))),
% 59.09/9.98    inference(nnf_transformation,[],[f27889])).
% 59.09/9.98  tff(f27889,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : (? [X5 : nat,X6 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X5) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X6)),X0) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X5) = 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),plus_plus(nat),X1),X2)),X6)),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP533(X0,X1,X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP533])])).
% 59.09/9.98  tff(f85264,plain,(
% 59.09/9.98    spl2737_3203 | ~spl2737_3202),
% 59.09/9.98    inference(avatar_split_clause,[],[f85260,f85257,f85262])).
% 59.09/9.98  tff(f85262,plain,(
% 59.09/9.98    spl2737_3203 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X3),X2) = X3 | ~monoid(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3203])])).
% 59.09/9.98  tff(f85257,plain,(
% 59.09/9.98    spl2737_3202 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X3) = X3 | ~monoid(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3202])])).
% 59.09/9.98  tff(f85260,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X3),X2) = X3 | ~monoid(X0,X1,X2)) ) | ~spl2737_3202),
% 59.09/9.98    inference(forward_demodulation,[],[f85258,f50171])).
% 59.09/9.98  tff(f85258,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X3) = X3 | ~monoid(X0,X1,X2)) ) | ~spl2737_3202),
% 59.09/9.98    inference(avatar_component_clause,[],[f85257])).
% 59.09/9.98  tff(f85259,plain,(
% 59.09/9.98    spl2737_3202),
% 59.09/9.98    inference(avatar_split_clause,[],[f49192,f85257])).
% 59.09/9.98  tff(f49192,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X3) = X3 | ~monoid(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f26396])).
% 59.09/9.98  tff(f26396,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X3) = X3 | ~monoid(X0,X1,X2))),
% 59.09/9.98    inference(ennf_transformation,[],[f17757])).
% 59.09/9.98  tff(f17757,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0] : (monoid(X0,X1,X2) => aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X3) = X3)),
% 59.09/9.98    inference(rectify,[],[f7401])).
% 59.09/9.98  tff(f7401,axiom,(
% 59.09/9.98    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X7 : X0] : (monoid(X0,X32,X60) => aa(X0,X0,aa(X0,fun(X0,X0),X32,X60),X7) = X7)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7400_monoid_Oleft__neutral)).
% 59.09/9.98  tff(f85246,plain,(
% 59.09/9.98    spl2737_3201 | ~spl2737_3200),
% 59.09/9.98    inference(avatar_split_clause,[],[f85242,f85239,f85244])).
% 59.09/9.98  tff(f85244,plain,(
% 59.09/9.98    spl2737_3201 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X2),X3) = X3 | ~monoid(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3201])])).
% 59.09/9.98  tff(f85239,plain,(
% 59.09/9.98    spl2737_3200 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~monoid(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3200])])).
% 59.09/9.98  tff(f85242,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X2),X3) = X3 | ~monoid(X0,X1,X2)) ) | ~spl2737_3200),
% 59.09/9.98    inference(forward_demodulation,[],[f85240,f50171])).
% 59.09/9.98  tff(f85240,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~monoid(X0,X1,X2)) ) | ~spl2737_3200),
% 59.09/9.98    inference(avatar_component_clause,[],[f85239])).
% 59.09/9.98  tff(f85241,plain,(
% 59.09/9.98    spl2737_3200),
% 59.09/9.98    inference(avatar_split_clause,[],[f49191,f85239])).
% 59.09/9.98  tff(f49191,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~monoid(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f26395])).
% 59.09/9.98  tff(f26395,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~monoid(X0,X1,X2))),
% 59.09/9.98    inference(ennf_transformation,[],[f17756])).
% 59.09/9.98  tff(f17756,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0] : (monoid(X0,X1,X2) => aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3)),
% 59.09/9.98    inference(rectify,[],[f7400])).
% 59.09/9.98  tff(f7400,axiom,(
% 59.09/9.98    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X7 : X0] : (monoid(X0,X32,X60) => aa(X0,X0,aa(X0,fun(X0,X0),X32,X7),X60) = X7)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7399_monoid_Oright__neutral)).
% 59.09/9.98  tff(f85228,plain,(
% 59.09/9.98    spl2737_3199 | ~spl2737_3198),
% 59.09/9.98    inference(avatar_split_clause,[],[f85224,f85221,f85226])).
% 59.09/9.98  tff(f85226,plain,(
% 59.09/9.98    spl2737_3199 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X2),X3) = X3 | ~comm_monoid(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3199])])).
% 59.09/9.98  tff(f85221,plain,(
% 59.09/9.98    spl2737_3198 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~comm_monoid(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3198])])).
% 59.09/9.98  tff(f85224,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X2),X3) = X3 | ~comm_monoid(X0,X1,X2)) ) | ~spl2737_3198),
% 59.09/9.98    inference(forward_demodulation,[],[f85222,f50171])).
% 59.09/9.98  tff(f85222,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~comm_monoid(X0,X1,X2)) ) | ~spl2737_3198),
% 59.09/9.98    inference(avatar_component_clause,[],[f85221])).
% 59.09/9.98  tff(f85223,plain,(
% 59.09/9.98    spl2737_3198),
% 59.09/9.98    inference(avatar_split_clause,[],[f49190,f85221])).
% 59.09/9.98  tff(f49190,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~comm_monoid(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f26394])).
% 59.09/9.98  tff(f26394,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 | ~comm_monoid(X0,X1,X2))),
% 59.09/9.98    inference(ennf_transformation,[],[f17755])).
% 59.09/9.98  tff(f17755,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0] : (comm_monoid(X0,X1,X2) => aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3)),
% 59.09/9.98    inference(rectify,[],[f7755])).
% 59.09/9.98  tff(f7755,axiom,(
% 59.09/9.98    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X7 : X0] : (comm_monoid(X0,X32,X60) => aa(X0,X0,aa(X0,fun(X0,X0),X32,X7),X60) = X7)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7754_comm__monoid_Ocomm__neutral)).
% 59.09/9.98  tff(f85219,plain,(
% 59.09/9.98    spl2737_3197),
% 59.09/9.98    inference(avatar_split_clause,[],[f49153,f85217])).
% 59.09/9.98  tff(f85217,plain,(
% 59.09/9.98    spl2737_3197 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : fun(X0,X0)] : (X2 = X3 | aa(X0,X0,X1,X2) != aa(X0,X0,X1,X3) | ~hilbert_bijection(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3197])])).
% 59.09/9.98  tff(f49153,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,X0)] : (X2 = X3 | aa(X0,X0,X1,X2) != aa(X0,X0,X1,X3) | ~hilbert_bijection(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f26353])).
% 59.09/9.98  tff(f26353,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,X0),X2 : X0,X3 : X0] : (X2 = X3 | aa(X0,X0,X1,X2) != aa(X0,X0,X1,X3) | ~hilbert_bijection(X0,X1))),
% 59.09/9.98    inference(flattening,[],[f26352])).
% 59.09/9.98  tff(f26352,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,X0),X2 : X0,X3 : X0] : ((X2 = X3 | aa(X0,X0,X1,X2) != aa(X0,X0,X1,X3)) | ~hilbert_bijection(X0,X1))),
% 59.09/9.98    inference(ennf_transformation,[],[f17732])).
% 59.09/9.98  tff(f17732,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,X0),X2 : X0,X3 : X0] : (hilbert_bijection(X0,X1) => (aa(X0,X0,X1,X2) = aa(X0,X0,X1,X3) => X2 = X3))),
% 59.09/9.98    inference(rectify,[],[f7462])).
% 59.09/9.98  tff(f7462,axiom,(
% 59.09/9.98    ! [X0 : $tType,X32 : fun(X0,X0),X7 : X0,X49 : X0] : (hilbert_bijection(X0,X32) => (aa(X0,X0,X32,X7) = aa(X0,X0,X32,X49) => X7 = X49))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7461_bijection_OeqI)).
% 59.09/9.98  tff(f85215,plain,(
% 59.09/9.98    spl2737_3196),
% 59.09/9.98    inference(avatar_split_clause,[],[f48946,f85213])).
% 59.09/9.98  tff(f85213,plain,(
% 59.09/9.98    spl2737_3196 <=> ! [X0 : $tType,X2 : fun(nat,fun(X0,bool)),X1 : nat] : (aa(list(X0),nat,size_size(list(X0)),sK2447(X0,X1,X2)) = X1 | ~sP487(X0,X2,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3196])])).
% 59.09/9.98  tff(f48946,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : fun(nat,fun(X0,bool)),X1 : nat] : (aa(list(X0),nat,size_size(list(X0)),sK2447(X0,X1,X2)) = X1 | ~sP487(X0,X2,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33661])).
% 59.09/9.98  tff(f33661,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool))] : ((sP487(X0,X2,X1) | ! [X3 : list(X0)] : ((~pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,sK2446(X0,X1,X2,X3)),aa(nat,X0,nth(X0,X3),sK2446(X0,X1,X2,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2446(X0,X1,X2,X3)),X1))) | aa(list(X0),nat,size_size(list(X0)),X3) != X1)) & ((! [X6 : nat] : (pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,sK2447(X0,X1,X2)),X6))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),sK2447(X0,X1,X2)) = X1) | ~sP487(X0,X2,X1)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2446,sK2447])],[f33658,f33660,f33659])).
% 59.09/9.98  tff(f33659,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool)),X3 : list(X0)] : (? [X4 : nat] : (~pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X4),aa(nat,X0,nth(X0,X3),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X1))) => (~pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,sK2446(X0,X1,X2,X3)),aa(nat,X0,nth(X0,X3),sK2446(X0,X1,X2,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2446(X0,X1,X2,X3)),X1))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33660,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool))] : (? [X5 : list(X0)] : (! [X6 : nat] : (pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1) => (! [X6 : nat] : (pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,sK2447(X0,X1,X2)),X6))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),sK2447(X0,X1,X2)) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33658,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool))] : ((sP487(X0,X2,X1) | ! [X3 : list(X0)] : (? [X4 : nat] : (~pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X4),aa(nat,X0,nth(X0,X3),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X1))) | aa(list(X0),nat,size_size(list(X0)),X3) != X1)) & (? [X5 : list(X0)] : (! [X6 : nat] : (pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1) | ~sP487(X0,X2,X1)))),
% 59.09/9.98    inference(rectify,[],[f33657])).
% 59.09/9.98  tff(f33657,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool))] : ((sP487(X0,X2,X1) | ! [X5 : list(X0)] : (? [X6 : nat] : (~pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,X5),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) | aa(list(X0),nat,size_size(list(X0)),X5) != X1)) & (? [X5 : list(X0)] : (! [X6 : nat] : (pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1) | ~sP487(X0,X2,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27816])).
% 59.09/9.98  tff(f27816,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool))] : (sP487(X0,X2,X1) <=> ? [X5 : list(X0)] : (! [X6 : nat] : (pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1))),
% 59.09/9.98    inference(definition_folding,[],[f26321,f27815])).
% 59.09/9.98  tff(f27815,plain,(
% 59.09/9.98    ! [X2 : fun(nat,fun(X0,bool)),X0 : $tType,X1 : nat] : (sP487(X0,X2,X1) <=> ! [X3 : nat] : (? [X4 : X0] : pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X3),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP487])])).
% 59.09/9.98  tff(f26321,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool))] : (! [X3 : nat] : (? [X4 : X0] : pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X3),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1))) <=> ? [X5 : list(X0)] : (! [X6 : nat] : (pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,X5),X6))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1))),
% 59.09/9.98    inference(ennf_transformation,[],[f17590])).
% 59.09/9.98  tff(f17590,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : nat,X2 : fun(nat,fun(X0,bool))] : (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1)) => ? [X4 : X0] : pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X3),X4))) <=> ? [X5 : list(X0)] : (! [X6 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X1)) => pp(aa(X0,bool,aa(nat,fun(X0,bool),X2,X6),aa(nat,X0,nth(X0,X5),X6)))) & aa(list(X0),nat,size_size(list(X0)),X5) = X1))),
% 59.09/9.98    inference(rectify,[],[f2573])).
% 59.09/9.98  tff(f2573,axiom,(
% 59.09/9.98    ! [X0 : $tType,X18 : nat,X17 : fun(nat,fun(X0,bool))] : (! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),X18)) => ? [X114 : X0] : pp(aa(X0,bool,aa(nat,fun(X0,bool),X17,X29),X114))) <=> ? [X168 : list(X0)] : (! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),X18)) => pp(aa(X0,bool,aa(nat,fun(X0,bool),X17,X29),aa(nat,X0,nth(X0,X168),X29)))) & aa(list(X0),nat,size_size(list(X0)),X168) = X18))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2572_Skolem__list__nth)).
% 59.09/9.98  tff(f85210,plain,(
% 59.09/9.98    spl2737_3195 | ~spl2737_3194),
% 59.09/9.98    inference(avatar_split_clause,[],[f85206,f85203,f85208])).
% 59.09/9.98  tff(f85208,plain,(
% 59.09/9.98    spl2737_3195 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X1),X0)) | ~sP486(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3195])])).
% 59.09/9.98  tff(f85203,plain,(
% 59.09/9.98    spl2737_3194 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~sP486(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3194])])).
% 59.09/9.98  tff(f85206,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X1),X0)) | ~sP486(X0,X1,X2)) ) | ~spl2737_3194),
% 59.09/9.98    inference(forward_demodulation,[],[f85204,f50171])).
% 59.09/9.98  tff(f85204,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~sP486(X0,X1,X2)) ) | ~spl2737_3194),
% 59.09/9.98    inference(avatar_component_clause,[],[f85203])).
% 59.09/9.98  tff(f85205,plain,(
% 59.09/9.98    spl2737_3194),
% 59.09/9.98    inference(avatar_split_clause,[],[f48936,f85203])).
% 59.09/9.98  tff(f48936,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~sP486(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33650])).
% 59.09/9.98  tff(f85200,plain,(
% 59.09/9.98    spl2737_3193 | ~spl2737_3192),
% 59.09/9.98    inference(avatar_split_clause,[],[f85196,f85193,f85198])).
% 59.09/9.98  tff(f85198,plain,(
% 59.09/9.98    spl2737_3193 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X2),X0)) | ~sP486(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3193])])).
% 59.09/9.98  tff(f85193,plain,(
% 59.09/9.98    spl2737_3192 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) | ~sP486(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3192])])).
% 59.09/9.98  tff(f85196,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X2),X0)) | ~sP486(X0,X1,X2)) ) | ~spl2737_3192),
% 59.09/9.98    inference(forward_demodulation,[],[f85194,f50171])).
% 59.09/9.98  tff(f85194,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) | ~sP486(X0,X1,X2)) ) | ~spl2737_3192),
% 59.09/9.98    inference(avatar_component_clause,[],[f85193])).
% 59.09/9.98  tff(f85195,plain,(
% 59.09/9.98    spl2737_3192),
% 59.09/9.98    inference(avatar_split_clause,[],[f48935,f85193])).
% 59.09/9.98  tff(f48935,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X2)) | ~sP486(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33650])).
% 59.09/9.98  tff(f85190,plain,(
% 59.09/9.98    spl2737_3191 | ~spl2737_3190),
% 59.09/9.98    inference(avatar_split_clause,[],[f85186,f85183,f85188])).
% 59.09/9.98  tff(f85188,plain,(
% 59.09/9.98    spl2737_3191 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X0),X1)) | ~sP485(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3191])])).
% 59.09/9.98  tff(f85183,plain,(
% 59.09/9.98    spl2737_3190 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~sP485(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3190])])).
% 59.09/9.98  tff(f85186,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X0),X1)) | ~sP485(X0,X1,X2)) ) | ~spl2737_3190),
% 59.09/9.98    inference(forward_demodulation,[],[f85184,f50171])).
% 59.09/9.98  tff(f85184,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~sP485(X0,X1,X2)) ) | ~spl2737_3190),
% 59.09/9.98    inference(avatar_component_clause,[],[f85183])).
% 59.09/9.98  tff(f85185,plain,(
% 59.09/9.98    spl2737_3190),
% 59.09/9.98    inference(avatar_split_clause,[],[f48927,f85183])).
% 59.09/9.98  tff(f48927,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X1),X0)) | ~sP485(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33644])).
% 59.09/9.98  tff(f85180,plain,(
% 59.09/9.98    spl2737_3189 | ~spl2737_3188),
% 59.09/9.98    inference(avatar_split_clause,[],[f85176,f85173,f85178])).
% 59.09/9.98  tff(f85178,plain,(
% 59.09/9.98    spl2737_3189 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X0),X2)) | ~sP485(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3189])])).
% 59.09/9.98  tff(f85173,plain,(
% 59.09/9.98    spl2737_3188 <=> ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) | ~sP485(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3188])])).
% 59.09/9.98  tff(f85176,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X0),X2)) | ~sP485(X0,X1,X2)) ) | ~spl2737_3188),
% 59.09/9.98    inference(forward_demodulation,[],[f85174,f50171])).
% 59.09/9.98  tff(f85174,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) | ~sP485(X0,X1,X2)) ) | ~spl2737_3188),
% 59.09/9.98    inference(avatar_component_clause,[],[f85173])).
% 59.09/9.98  tff(f85175,plain,(
% 59.09/9.98    spl2737_3188),
% 59.09/9.98    inference(avatar_split_clause,[],[f48926,f85173])).
% 59.09/9.98  tff(f48926,plain,(
% 59.09/9.98    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X2),X0)) | ~sP485(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33644])).
% 59.09/9.98  tff(f85170,plain,(
% 59.09/9.98    spl2737_3187 | ~spl2737_3186),
% 59.09/9.98    inference(avatar_split_clause,[],[f85166,f85163,f85168])).
% 59.09/9.98  tff(f85168,plain,(
% 59.09/9.98    spl2737_3187 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),X0)) | ~sP484(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3187])])).
% 59.09/9.98  tff(f85163,plain,(
% 59.09/9.98    spl2737_3186 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~sP484(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3186])])).
% 59.09/9.98  tff(f85166,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),X0)) | ~sP484(X0,X1,X2)) ) | ~spl2737_3186),
% 59.09/9.98    inference(forward_demodulation,[],[f85164,f50171])).
% 59.09/9.98  tff(f85164,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~sP484(X0,X1,X2)) ) | ~spl2737_3186),
% 59.09/9.98    inference(avatar_component_clause,[],[f85163])).
% 59.09/9.98  tff(f85165,plain,(
% 59.09/9.98    spl2737_3186),
% 59.09/9.98    inference(avatar_split_clause,[],[f48918,f85163])).
% 59.09/9.98  tff(f48918,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~sP484(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33638])).
% 59.09/9.98  tff(f33638,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : ((sP484(X0,X1,X2) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK2441(X0,X1,X2)),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK2441(X0,X1,X2)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK2441(X0,X1,X2)),X2))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2))) & ((! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X4),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X4),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X4),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2))) | ~sP484(X0,X1,X2)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2441])],[f33636,f33637])).
% 59.09/9.98  tff(f33637,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : (? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2))) => (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK2441(X0,X1,X2)),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK2441(X0,X1,X2)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK2441(X0,X1,X2)),X2))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33636,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : ((sP484(X0,X1,X2) | ? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2))) & ((! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X4),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X4),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X4),X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2))) | ~sP484(X0,X1,X2)))),
% 59.09/9.98    inference(rectify,[],[f33635])).
% 59.09/9.98  tff(f33635,plain,(
% 59.09/9.98    ! [X0 : nat,X2 : nat,X1 : nat] : ((sP484(X0,X2,X1) | ? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) & ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP484(X0,X2,X1)))),
% 59.09/9.98    inference(flattening,[],[f33634])).
% 59.09/9.98  tff(f33634,plain,(
% 59.09/9.98    ! [X0 : nat,X2 : nat,X1 : nat] : ((sP484(X0,X2,X1) | (? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)))) & ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP484(X0,X2,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27809])).
% 59.09/9.98  tff(f85160,plain,(
% 59.09/9.98    spl2737_3185 | ~spl2737_3184),
% 59.09/9.98    inference(avatar_split_clause,[],[f85156,f85153,f85158])).
% 59.09/9.98  tff(f85158,plain,(
% 59.09/9.98    spl2737_3185 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X2),X0)) | ~sP484(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3185])])).
% 59.09/9.98  tff(f85153,plain,(
% 59.09/9.98    spl2737_3184 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) | ~sP484(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3184])])).
% 59.09/9.98  tff(f85156,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X2),X0)) | ~sP484(X0,X1,X2)) ) | ~spl2737_3184),
% 59.09/9.98    inference(forward_demodulation,[],[f85154,f50171])).
% 59.09/9.98  tff(f85154,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) | ~sP484(X0,X1,X2)) ) | ~spl2737_3184),
% 59.09/9.98    inference(avatar_component_clause,[],[f85153])).
% 59.09/9.98  tff(f85155,plain,(
% 59.09/9.98    spl2737_3184),
% 59.09/9.98    inference(avatar_split_clause,[],[f48917,f85153])).
% 59.09/9.98  tff(f48917,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X2)) | ~sP484(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33638])).
% 59.09/9.98  tff(f85150,plain,(
% 59.09/9.98    spl2737_3183 | ~spl2737_3182),
% 59.09/9.98    inference(avatar_split_clause,[],[f85146,f85143,f85148])).
% 59.09/9.98  tff(f85148,plain,(
% 59.09/9.98    spl2737_3183 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),X1)) | ~sP483(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3183])])).
% 59.09/9.98  tff(f85143,plain,(
% 59.09/9.98    spl2737_3182 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X0)) | ~sP483(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3182])])).
% 59.09/9.98  tff(f85146,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),X1)) | ~sP483(X0,X1,X2)) ) | ~spl2737_3182),
% 59.09/9.98    inference(forward_demodulation,[],[f85144,f50171])).
% 59.09/9.98  tff(f85144,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X0)) | ~sP483(X0,X1,X2)) ) | ~spl2737_3182),
% 59.09/9.98    inference(avatar_component_clause,[],[f85143])).
% 59.09/9.98  tff(f85145,plain,(
% 59.09/9.98    spl2737_3182),
% 59.09/9.98    inference(avatar_split_clause,[],[f48910,f85143])).
% 59.09/9.98  tff(f48910,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X0)) | ~sP483(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33632])).
% 59.09/9.98  tff(f33632,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : ((sP483(X0,X1,X2) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),sK2440(X0,X1,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),sK2440(X0,X1,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),sK2440(X0,X1,X2)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0))) & ((! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0))) | ~sP483(X0,X1,X2)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2440])],[f33630,f33631])).
% 59.09/9.98  tff(f33631,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : (? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))) => (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),sK2440(X0,X1,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),sK2440(X0,X1,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),sK2440(X0,X1,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33630,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat,X2 : nat] : ((sP483(X0,X1,X2) | ? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0))) & ((! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0))) | ~sP483(X0,X1,X2)))),
% 59.09/9.98    inference(rectify,[],[f33629])).
% 59.09/9.98  tff(f33629,plain,(
% 59.09/9.98    ! [X1 : nat,X2 : nat,X0 : nat] : ((sP483(X1,X2,X0) | ? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) & ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP483(X1,X2,X0)))),
% 59.09/9.98    inference(flattening,[],[f33628])).
% 59.09/9.98  tff(f33628,plain,(
% 59.09/9.98    ! [X1 : nat,X2 : nat,X0 : nat] : ((sP483(X1,X2,X0) | (? [X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)))) & ((! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~sP483(X1,X2,X0)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27807])).
% 59.09/9.98  tff(f85140,plain,(
% 59.09/9.98    spl2737_3181 | ~spl2737_3180),
% 59.09/9.98    inference(avatar_split_clause,[],[f85136,f85133,f85138])).
% 59.09/9.98  tff(f85138,plain,(
% 59.09/9.98    spl2737_3181 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),X2)) | ~sP483(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3181])])).
% 59.09/9.98  tff(f85133,plain,(
% 59.09/9.98    spl2737_3180 <=> ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0)) | ~sP483(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3180])])).
% 59.09/9.98  tff(f85136,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),X2)) | ~sP483(X0,X1,X2)) ) | ~spl2737_3180),
% 59.09/9.98    inference(forward_demodulation,[],[f85134,f50171])).
% 59.09/9.98  tff(f85134,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0)) | ~sP483(X0,X1,X2)) ) | ~spl2737_3180),
% 59.09/9.98    inference(avatar_component_clause,[],[f85133])).
% 59.09/9.98  tff(f85135,plain,(
% 59.09/9.98    spl2737_3180),
% 59.09/9.98    inference(avatar_split_clause,[],[f48909,f85133])).
% 59.09/9.98  tff(f48909,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0)) | ~sP483(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33632])).
% 59.09/9.98  tff(f85131,plain,(
% 59.09/9.98    spl2737_3179),
% 59.09/9.98    inference(avatar_split_clause,[],[f48482,f85129])).
% 59.09/9.98  tff(f85129,plain,(
% 59.09/9.98    spl2737_3179 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = dropWhile(X0,X1,X2) | ~pp(aa(X0,bool,X1,sK2382(X0,X1,X2))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3179])])).
% 59.09/9.98  tff(f48482,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = dropWhile(X0,X1,X2) | ~pp(aa(X0,bool,X1,sK2382(X0,X1,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33309])).
% 59.09/9.98  tff(f33309,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((nil(X0) = dropWhile(X0,X1,X2) | (~pp(aa(X0,bool,X1,sK2382(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2382(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | nil(X0) != dropWhile(X0,X1,X2)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2382])],[f33307,f33308])).
% 59.09/9.98  tff(f33308,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) => (~pp(aa(X0,bool,X1,sK2382(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2382(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33307,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((nil(X0) = dropWhile(X0,X1,X2) | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | nil(X0) != dropWhile(X0,X1,X2)))),
% 59.09/9.98    inference(rectify,[],[f33306])).
% 59.09/9.98  tff(f33306,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((nil(X0) = dropWhile(X0,X1,X2) | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | nil(X0) != dropWhile(X0,X1,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f26286])).
% 59.09/9.98  tff(f26286,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (nil(X0) = dropWhile(X0,X1,X2) <=> ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    inference(ennf_transformation,[],[f17453])).
% 59.09/9.98  tff(f17453,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (nil(X0) = dropWhile(X0,X1,X2) <=> ! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))) => pp(aa(X0,bool,X1,X3))))),
% 59.09/9.98    inference(rectify,[],[f5646])).
% 59.09/9.98  tff(f5646,axiom,(
% 59.09/9.98    ! [X0 : $tType,X17 : fun(X0,bool),X123 : list(X0)] : (nil(X0) = dropWhile(X0,X17,X123) <=> ! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123))) => pp(aa(X0,bool,X17,X115))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5645_dropWhile__eq__Nil__conv)).
% 59.09/9.98  tff(f85127,plain,(
% 59.09/9.98    spl2737_3178),
% 59.09/9.98    inference(avatar_split_clause,[],[f48479,f85125])).
% 59.09/9.98  tff(f85125,plain,(
% 59.09/9.98    spl2737_3178 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (none(X0) = find(X0,X1,X2) | pp(aa(X0,bool,X1,sK2381(X0,X1,X2))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3178])])).
% 59.09/9.98  tff(f48479,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (none(X0) = find(X0,X1,X2) | pp(aa(X0,bool,X1,sK2381(X0,X1,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33305])).
% 59.09/9.98  tff(f33305,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((none(X0) = find(X0,X1,X2) | (pp(aa(X0,bool,X1,sK2381(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2381(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (~pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | none(X0) != find(X0,X1,X2)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2381])],[f33303,f33304])).
% 59.09/9.98  tff(f33304,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) => (pp(aa(X0,bool,X1,sK2381(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2381(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33303,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((none(X0) = find(X0,X1,X2) | ? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (~pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | none(X0) != find(X0,X1,X2)))),
% 59.09/9.98    inference(rectify,[],[f33302])).
% 59.09/9.98  tff(f33302,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((none(X0) = find(X0,X1,X2) | ? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | none(X0) != find(X0,X1,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f26285])).
% 59.09/9.98  tff(f26285,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (none(X0) = find(X0,X1,X2) <=> ! [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    inference(ennf_transformation,[],[f17452])).
% 59.09/9.98  tff(f17452,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (none(X0) = find(X0,X1,X2) <=> ~? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    inference(rectify,[],[f5165])).
% 59.09/9.98  tff(f5165,axiom,(
% 59.09/9.98    ! [X0 : $tType,X17 : fun(X0,bool),X123 : list(X0)] : (none(X0) = find(X0,X17,X123) <=> ~? [X115 : X0] : (pp(aa(X0,bool,X17,X115)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5164_find__None__iff2)).
% 59.09/9.98  tff(f85123,plain,(
% 59.09/9.98    spl2737_3177),
% 59.09/9.98    inference(avatar_split_clause,[],[f48476,f85121])).
% 59.09/9.98  tff(f85121,plain,(
% 59.09/9.98    spl2737_3177 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (none(X0) = find(X0,X1,X2) | pp(aa(X0,bool,X1,sK2380(X0,X1,X2))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3177])])).
% 59.09/9.98  tff(f48476,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (none(X0) = find(X0,X1,X2) | pp(aa(X0,bool,X1,sK2380(X0,X1,X2)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33301])).
% 59.09/9.98  tff(f33301,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((none(X0) = find(X0,X1,X2) | (pp(aa(X0,bool,X1,sK2380(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2380(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (~pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | none(X0) != find(X0,X1,X2)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2380])],[f33299,f33300])).
% 59.09/9.98  tff(f33300,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) => (pp(aa(X0,bool,X1,sK2380(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2380(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33299,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((none(X0) = find(X0,X1,X2) | ? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (~pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | none(X0) != find(X0,X1,X2)))),
% 59.09/9.98    inference(rectify,[],[f33298])).
% 59.09/9.98  tff(f33298,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((none(X0) = find(X0,X1,X2) | ? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | none(X0) != find(X0,X1,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f26284])).
% 59.09/9.98  tff(f26284,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (none(X0) = find(X0,X1,X2) <=> ! [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    inference(ennf_transformation,[],[f17451])).
% 59.09/9.98  tff(f17451,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (none(X0) = find(X0,X1,X2) <=> ~? [X3 : X0] : (pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.09/9.98    inference(rectify,[],[f5166])).
% 59.09/9.98  tff(f5166,axiom,(
% 59.09/9.98    ! [X0 : $tType,X17 : fun(X0,bool),X123 : list(X0)] : (none(X0) = find(X0,X17,X123) <=> ~? [X115 : X0] : (pp(aa(X0,bool,X17,X115)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5165_find__None__iff)).
% 59.09/9.98  tff(f85119,plain,(
% 59.09/9.98    spl2737_3176 | ~spl2737_3175),
% 59.09/9.98    inference(avatar_split_clause,[],[f85115,f85112,f85117])).
% 59.09/9.98  tff(f85117,plain,(
% 59.09/9.98    spl2737_3176 <=> ! [X0 : $tType,X5 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X2),X5) = X5 | ~monoid_axioms(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3176])])).
% 59.09/9.98  tff(f85112,plain,(
% 59.09/9.98    spl2737_3175 <=> ! [X0 : $tType,X5 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X2) = X5 | ~monoid_axioms(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3175])])).
% 59.09/9.98  tff(f85115,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0)),X5 : X0] : (aa(X0,X0,combc(X0,X0,X0,X1,X2),X5) = X5 | ~monoid_axioms(X0,X1,X2)) ) | ~spl2737_3175),
% 59.09/9.98    inference(forward_demodulation,[],[f85113,f50171])).
% 59.09/9.98  tff(f85113,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0)),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X2) = X5 | ~monoid_axioms(X0,X1,X2)) ) | ~spl2737_3175),
% 59.09/9.98    inference(avatar_component_clause,[],[f85112])).
% 59.09/9.98  tff(f85114,plain,(
% 59.09/9.98    spl2737_3175),
% 59.09/9.98    inference(avatar_split_clause,[],[f48395,f85112])).
% 59.09/9.98  tff(f48395,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0)),X5 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X2) = X5 | ~monoid_axioms(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33242])).
% 59.09/9.98  tff(f33242,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : ((monoid_axioms(X0,X1,X2) | sK2363(X0,X1,X2) != aa(X0,X0,aa(X0,fun(X0,X0),X1,sK2363(X0,X1,X2)),X2) | sK2364(X0,X1,X2) != aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),sK2364(X0,X1,X2))) & ((! [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X2) = X5 & ! [X6 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X6) = X6) | ~monoid_axioms(X0,X1,X2)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2363,sK2364])],[f33239,f33241,f33240])).
% 59.09/9.98  tff(f33240,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (? [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) != X3 => sK2363(X0,X1,X2) != aa(X0,X0,aa(X0,fun(X0,X0),X1,sK2363(X0,X1,X2)),X2))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33241,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) != X4 => sK2364(X0,X1,X2) != aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),sK2364(X0,X1,X2)))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f33239,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : ((monoid_axioms(X0,X1,X2) | ? [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) != X3 | ? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) != X4) & ((! [X5 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X5),X2) = X5 & ! [X6 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X6) = X6) | ~monoid_axioms(X0,X1,X2)))),
% 59.09/9.98    inference(rectify,[],[f33238])).
% 59.09/9.98  tff(f33238,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : ((monoid_axioms(X0,X1,X2) | ? [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) != X3 | ? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) != X4) & ((! [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 & ! [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4) | ~monoid_axioms(X0,X1,X2)))),
% 59.09/9.98    inference(flattening,[],[f33237])).
% 59.09/9.98  tff(f33237,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : ((monoid_axioms(X0,X1,X2) | (? [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) != X3 | ? [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) != X4)) & ((! [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 & ! [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4) | ~monoid_axioms(X0,X1,X2)))),
% 59.09/9.98    inference(nnf_transformation,[],[f17434])).
% 59.09/9.98  tff(f17434,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (monoid_axioms(X0,X1,X2) <=> (! [X3 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X3),X2) = X3 & ! [X4 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X4) = X4))),
% 59.09/9.98    inference(rectify,[],[f8069])).
% 59.09/9.98  tff(f8069,axiom,(
% 59.09/9.98    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0] : (monoid_axioms(X0,X32,X60) <=> (! [X74 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X32,X74),X60) = X74 & ! [X74 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),X32,X60),X74) = X74))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8068_monoid__axioms__def)).
% 59.09/9.98  tff(f85110,plain,(
% 59.09/9.98    spl2737_3174 | ~spl2737_3173),
% 59.09/9.98    inference(avatar_split_clause,[],[f85106,f85103,f85108])).
% 59.09/9.98  tff(f85108,plain,(
% 59.09/9.98    spl2737_3174 <=> ! [X0 : $tType,X6 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,combc(X0,X0,X0,X1,X6),X2) = X6 | ~monoid_axioms(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3174])])).
% 59.09/9.98  tff(f85103,plain,(
% 59.09/9.98    spl2737_3173 <=> ! [X0 : $tType,X6 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X6) = X6 | ~monoid_axioms(X0,X1,X2))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3173])])).
% 59.09/9.98  tff(f85106,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0)),X6 : X0] : (aa(X0,X0,combc(X0,X0,X0,X1,X6),X2) = X6 | ~monoid_axioms(X0,X1,X2)) ) | ~spl2737_3173),
% 59.09/9.98    inference(forward_demodulation,[],[f85104,f50171])).
% 59.09/9.98  tff(f85104,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0)),X6 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X6) = X6 | ~monoid_axioms(X0,X1,X2)) ) | ~spl2737_3173),
% 59.09/9.98    inference(avatar_component_clause,[],[f85103])).
% 59.09/9.98  tff(f85105,plain,(
% 59.09/9.98    spl2737_3173),
% 59.09/9.98    inference(avatar_split_clause,[],[f48394,f85103])).
% 59.09/9.98  tff(f48394,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0)),X6 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),X1,X2),X6) = X6 | ~monoid_axioms(X0,X1,X2)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33242])).
% 59.09/9.98  tff(f85101,plain,(
% 59.09/9.98    spl2737_3172),
% 59.09/9.98    inference(avatar_split_clause,[],[f48292,f85099])).
% 59.09/9.98  tff(f85099,plain,(
% 59.09/9.98    spl2737_3172 <=> ! [X2 : nat,X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X2)) | sP460(X1,X0) | ~pp(aa(nat,bool,X1,sK2301(X0,X1))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3172])])).
% 59.09/9.98  tff(f48292,plain,(
% 59.09/9.98    ( ! [X2 : nat,X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X2)) | sP460(X1,X0) | ~pp(aa(nat,bool,X1,sK2301(X0,X1)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f33120])).
% 59.09/9.98  tff(f33120,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool),X2 : nat] : (pp(aa(nat,bool,X1,X2)) | sP460(X1,X0) | (~pp(aa(nat,bool,X1,sK2301(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),sK2301(X0,X1)))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2301])],[f27769,f33119])).
% 59.09/9.98  tff(f33119,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (? [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X3))) => (~pp(aa(nat,bool,X1,sK2301(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),sK2301(X0,X1)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f27769,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool),X2 : nat] : (pp(aa(nat,bool,X1,X2)) | sP460(X1,X0) | ? [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X3))))),
% 59.09/9.98    inference(definition_folding,[],[f26227,f27768])).
% 59.09/9.98  tff(f26227,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool),X2 : nat] : (pp(aa(nat,bool,X1,X2)) | ? [X4 : nat] : (~pp(aa(nat,bool,X1,X4)) & ! [X5 : nat] : (pp(aa(nat,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X0))) | ? [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X3))))),
% 59.09/9.98    inference(flattening,[],[f26226])).
% 59.09/9.98  tff(f26226,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool),X2 : nat] : ((pp(aa(nat,bool,X1,X2)) | ? [X4 : nat] : ((~pp(aa(nat,bool,X1,X4)) & ! [X5 : nat] : (pp(aa(nat,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X0)))) | ? [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X3))))),
% 59.09/9.98    inference(ennf_transformation,[],[f17395])).
% 59.09/9.98  tff(f17395,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool),X2 : nat] : (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X3)) => pp(aa(nat,bool,X1,X3))) => (! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X0)) => (! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5)) => pp(aa(nat,bool,X1,X5))) => pp(aa(nat,bool,X1,X4)))) => pp(aa(nat,bool,X1,X2))))),
% 59.09/9.98    inference(rectify,[],[f922])).
% 59.09/9.98  tff(f922,axiom,(
% 59.09/9.98    ! [X8 : nat,X17 : fun(nat,bool),X9 : nat] : (! [X27 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X27)) => pp(aa(nat,bool,X17,X27))) => (! [X27 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X27),X8)) => (! [X112 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X27),X112)) => pp(aa(nat,bool,X17,X112))) => pp(aa(nat,bool,X17,X27)))) => pp(aa(nat,bool,X17,X9))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_921_nat__descend__induct)).
% 59.09/9.98  tff(f85090,plain,(
% 59.09/9.98    spl2737_3171 | ~spl2737_3170),
% 59.09/9.98    inference(avatar_split_clause,[],[f85086,f85083,f85088])).
% 59.09/9.98  tff(f85088,plain,(
% 59.09/9.98    spl2737_3171 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),sK2097(X0)),sK2096(X0))) | ~sP390(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3171])])).
% 59.09/9.98  tff(f85083,plain,(
% 59.09/9.98    spl2737_3170 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2096(X0)),sK2097(X0))) | ~sP390(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3170])])).
% 59.09/9.98  tff(f85086,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),sK2097(X0)),sK2096(X0))) | ~sP390(X0)) ) | ~spl2737_3170),
% 59.09/9.98    inference(forward_demodulation,[],[f85084,f50171])).
% 59.09/9.98  tff(f85084,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2096(X0)),sK2097(X0))) | ~sP390(X0)) ) | ~spl2737_3170),
% 59.09/9.98    inference(avatar_component_clause,[],[f85083])).
% 59.09/9.98  tff(f85085,plain,(
% 59.09/9.98    spl2737_3170),
% 59.09/9.98    inference(avatar_split_clause,[],[f47686,f85083])).
% 59.09/9.98  tff(f47686,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2096(X0)),sK2097(X0))) | ~sP390(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32707])).
% 59.09/9.98  tff(f32707,plain,(
% 59.09/9.98    ! [X0 : fun(nat,fun(nat,bool))] : ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2097(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2096(X0)),sK2097(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2096(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2096(X0)),sK2097(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2095(X0)),sK2096(X0)))) | ~sP390(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2095,sK2096,sK2097])],[f32705,f32706])).
% 59.09/9.98  tff(f32706,plain,(
% 59.09/9.98    ! [X0 : fun(nat,fun(nat,bool))] : (? [X1 : nat,X2 : nat,X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,X1),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,X2),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,X1),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X2))) => (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2097(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2096(X0)),sK2097(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2096(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2096(X0)),sK2097(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2095(X0)),sK2096(X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f32705,plain,(
% 59.09/9.98    ! [X0 : fun(nat,fun(nat,bool))] : (? [X1 : nat,X2 : nat,X3 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,X1),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,X2),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,X1),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X2))) | ~sP390(X0))),
% 59.09/9.98    inference(rectify,[],[f32704])).
% 59.09/9.98  tff(f32704,plain,(
% 59.09/9.98    ! [X2 : fun(nat,fun(nat,bool))] : (? [X4 : nat,X5 : nat,X6 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X2,X4),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X2,X5),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X2,X4),X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) | ~sP390(X2))),
% 59.09/9.98    inference(nnf_transformation,[],[f27679])).
% 59.09/9.98  tff(f27679,plain,(
% 59.09/9.98    ! [X2 : fun(nat,fun(nat,bool))] : (? [X4 : nat,X5 : nat,X6 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X2,X4),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X2,X5),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),X2,X4),X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) | ~sP390(X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP390])])).
% 59.09/9.98  tff(f85074,plain,(
% 59.09/9.98    spl2737_3169 | ~spl2737_3168),
% 59.09/9.98    inference(avatar_split_clause,[],[f85070,f85067,f85072])).
% 59.09/9.98  tff(f85072,plain,(
% 59.09/9.98    spl2737_3169 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),sK2096(X0)),sK2095(X0))) | ~sP390(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3169])])).
% 59.09/9.98  tff(f85067,plain,(
% 59.09/9.98    spl2737_3168 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2095(X0)),sK2096(X0))) | ~sP390(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3168])])).
% 59.09/9.98  tff(f85070,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),sK2096(X0)),sK2095(X0))) | ~sP390(X0)) ) | ~spl2737_3168),
% 59.09/9.98    inference(forward_demodulation,[],[f85068,f50171])).
% 59.09/9.98  tff(f85068,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2095(X0)),sK2096(X0))) | ~sP390(X0)) ) | ~spl2737_3168),
% 59.09/9.98    inference(avatar_component_clause,[],[f85067])).
% 59.09/9.98  tff(f85069,plain,(
% 59.09/9.98    spl2737_3168),
% 59.09/9.98    inference(avatar_split_clause,[],[f47685,f85067])).
% 59.09/9.98  tff(f47685,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2095(X0)),sK2096(X0))) | ~sP390(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32707])).
% 59.09/9.98  tff(f85065,plain,(
% 59.09/9.98    spl2737_3167),
% 59.09/9.98    inference(avatar_split_clause,[],[f47491,f85063])).
% 59.09/9.98  tff(f85063,plain,(
% 59.09/9.98    spl2737_3167 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (fChoice(X0,X1) = X2 | sK2065(X0,X1,X2) != X2 | ~pp(aa(X0,bool,X1,X2)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3167])])).
% 59.09/9.98  tff(f47491,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (fChoice(X0,X1) = X2 | sK2065(X0,X1,X2) != X2 | ~pp(aa(X0,bool,X1,X2))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32630])).
% 59.09/9.98  tff(f32630,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (fChoice(X0,X1) = X2 | (sK2065(X0,X1,X2) != X2 & pp(aa(X0,bool,X1,sK2065(X0,X1,X2)))) | ~pp(aa(X0,bool,X1,X2)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2065])],[f25657,f32629])).
% 59.09/9.98  tff(f32629,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (? [X3 : X0] : (X2 != X3 & pp(aa(X0,bool,X1,X3))) => (sK2065(X0,X1,X2) != X2 & pp(aa(X0,bool,X1,sK2065(X0,X1,X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f25657,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (fChoice(X0,X1) = X2 | ? [X3 : X0] : (X2 != X3 & pp(aa(X0,bool,X1,X3))) | ~pp(aa(X0,bool,X1,X2)))),
% 59.09/9.98    inference(flattening,[],[f25656])).
% 59.09/9.98  tff(f25656,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : ((fChoice(X0,X1) = X2 | ? [X3 : X0] : (X2 != X3 & pp(aa(X0,bool,X1,X3)))) | ~pp(aa(X0,bool,X1,X2)))),
% 59.09/9.98    inference(ennf_transformation,[],[f17032])).
% 59.09/9.98  tff(f17032,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (pp(aa(X0,bool,X1,X2)) => (! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) => X2 = X3) => fChoice(X0,X1) = X2))),
% 59.09/9.98    inference(rectify,[],[f4026])).
% 59.09/9.98  tff(f4026,axiom,(
% 59.09/9.98    ! [X0 : $tType,X17 : fun(X0,bool),X7 : X0] : (pp(aa(X0,bool,X17,X7)) => (! [X20 : X0] : (pp(aa(X0,bool,X17,X20)) => X7 = X20) => fChoice(X0,X17) = X7))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4025_some__equality)).
% 59.09/9.98  tff(f85061,plain,(
% 59.09/9.98    spl2737_3166),
% 59.09/9.98    inference(avatar_split_clause,[],[f47379,f85059])).
% 59.09/9.98  tff(f85059,plain,(
% 59.09/9.98    spl2737_3166 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (zero_zero(X1) != aa(X2,X1,X0,sK2016(X1,X2,X0,X3)) | ~sP378(X1,X2,X0,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3166])])).
% 59.09/9.98  tff(f47379,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (zero_zero(X1) != aa(X2,X1,X0,sK2016(X1,X2,X0,X3)) | ~sP378(X1,X2,X0,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32544])).
% 59.09/9.98  tff(f32544,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((zero_zero(X1) != aa(X2,X1,X0,sK2016(X1,X2,X0,X3)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2016(X1,X2,X0,X3)),X3))) | ~sP378(X1,X2,X0,X3))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2016])],[f32542,f32543])).
% 59.09/9.98  tff(f32543,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (? [X4 : X2] : (zero_zero(X1) != aa(X2,X1,X0,X4) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X4),X3))) => (zero_zero(X1) != aa(X2,X1,X0,sK2016(X1,X2,X0,X3)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2016(X1,X2,X0,X3)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f32542,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2] : (zero_zero(X1) != aa(X2,X1,X0,X4) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X4),X3))) | ~sP378(X1,X2,X0,X3))),
% 59.09/9.98    inference(rectify,[],[f32541])).
% 59.09/9.98  tff(f32541,plain,(
% 59.09/9.98    ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (zero_zero(X1) != aa(X0,X1,X9,X15) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X15),X3))) | ~sP378(X1,X0,X9,X3))),
% 59.09/9.98    inference(nnf_transformation,[],[f27660])).
% 59.09/9.98  tff(f27660,plain,(
% 59.09/9.98    ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (zero_zero(X1) != aa(X0,X1,X9,X15) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X15),X3))) | ~sP378(X1,X0,X9,X3))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP378])])).
% 59.09/9.98  tff(f85057,plain,(
% 59.09/9.98    spl2737_3165),
% 59.09/9.98    inference(avatar_split_clause,[],[f47353,f85055])).
% 59.09/9.98  tff(f85055,plain,(
% 59.09/9.98    spl2737_3165 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (one_one(X1) != aa(X2,X1,X0,sK2005(X1,X2,X0,X3)) | ~sP372(X1,X2,X0,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3165])])).
% 59.09/9.98  tff(f47353,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : set(X2),X0 : fun(X2,X1)] : (one_one(X1) != aa(X2,X1,X0,sK2005(X1,X2,X0,X3)) | ~sP372(X1,X2,X0,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32512])).
% 59.09/9.98  tff(f32512,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : ((one_one(X1) != aa(X2,X1,X0,sK2005(X1,X2,X0,X3)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2005(X1,X2,X0,X3)),X3))) | ~sP372(X1,X2,X0,X3))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2005])],[f32510,f32511])).
% 59.09/9.98  tff(f32511,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : set(X2)] : (? [X4 : X2] : (one_one(X1) != aa(X2,X1,X0,X4) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X4),X3))) => (one_one(X1) != aa(X2,X1,X0,sK2005(X1,X2,X0,X3)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2005(X1,X2,X0,X3)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f32510,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : set(X2)] : (? [X4 : X2] : (one_one(X1) != aa(X2,X1,X0,X4) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X4),X3))) | ~sP372(X1,X2,X0,X3))),
% 59.09/9.98    inference(rectify,[],[f32509])).
% 59.09/9.98  tff(f32509,plain,(
% 59.09/9.98    ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (one_one(X1) != aa(X0,X1,X9,X15) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X15),X3))) | ~sP372(X1,X0,X9,X3))),
% 59.09/9.98    inference(nnf_transformation,[],[f27652])).
% 59.09/9.98  tff(f27652,plain,(
% 59.09/9.98    ! [X9 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : set(X0)] : (? [X15 : X0] : (one_one(X1) != aa(X0,X1,X9,X15) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X15),X3))) | ~sP372(X1,X0,X9,X3))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP372])])).
% 59.09/9.98  tff(f85053,plain,(
% 59.09/9.98    spl2737_3164),
% 59.09/9.98    inference(avatar_split_clause,[],[f47046,f85051])).
% 59.09/9.98  tff(f85051,plain,(
% 59.09/9.98    spl2737_3164 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,sK1980(X0,X1))) | pp(aa(nat,bool,X1,X0)) | ~sP365(X1,X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3164])])).
% 59.09/9.98  tff(f47046,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,sK1980(X0,X1))) | pp(aa(nat,bool,X1,X0)) | ~sP365(X1,X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32467])).
% 59.09/9.98  tff(f32467,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP365(X1,X0) | (! [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) & ~pp(aa(nat,bool,X1,X0)))) & ((pp(aa(nat,bool,X1,sK1980(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1980(X0,X1)),X0))) | pp(aa(nat,bool,X1,X0)) | ~sP365(X1,X0)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1980])],[f32465,f32466])).
% 59.09/9.98  tff(f32466,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (? [X3 : nat] : (pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) => (pp(aa(nat,bool,X1,sK1980(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1980(X0,X1)),X0))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f32465,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP365(X1,X0) | (! [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) & ~pp(aa(nat,bool,X1,X0)))) & (? [X3 : nat] : (pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,X0)) | ~sP365(X1,X0)))),
% 59.09/9.98    inference(rectify,[],[f32464])).
% 59.09/9.98  tff(f32464,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP365(X1,X0) | (! [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & ~pp(aa(nat,bool,X1,X0)))) & (? [X3 : nat] : (pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,X0)) | ~sP365(X1,X0)))),
% 59.09/9.98    inference(flattening,[],[f32463])).
% 59.09/9.98  tff(f32463,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP365(X1,X0) | (! [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & ~pp(aa(nat,bool,X1,X0)))) & ((? [X3 : nat] : (pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,X0))) | ~sP365(X1,X0)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27643])).
% 59.09/9.98  tff(f27643,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (sP365(X1,X0) <=> (? [X3 : nat] : (pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,X0))))),
% 59.09/9.98    inference(definition_folding,[],[f16720,f27642])).
% 59.09/9.98  tff(f27642,plain,(
% 59.09/9.98    ! [X1 : fun(nat,bool),X0 : nat] : (sP365(X1,X0) <=> ? [X2 : nat] : (pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP365])])).
% 59.09/9.98  tff(f16720,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (? [X2 : nat] : (pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (? [X3 : nat] : (pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,X0))))),
% 59.09/9.98    inference(rectify,[],[f47])).
% 59.09/9.98  tff(f47,axiom,(
% 59.09/9.98    ! [X8 : nat,X17 : fun(nat,bool)] : (? [X29 : nat] : (pp(aa(nat,bool,X17,X29)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,suc,X8)))) <=> (? [X29 : nat] : (pp(aa(nat,bool,X17,X29)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),X8))) | pp(aa(nat,bool,X17,X8))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_Ex__less__Suc)).
% 59.09/9.98  tff(f85049,plain,(
% 59.09/9.98    spl2737_3163),
% 59.09/9.98    inference(avatar_split_clause,[],[f47026,f85047])).
% 59.09/9.98  tff(f85047,plain,(
% 59.09/9.98    spl2737_3163 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (sP363(X1,X0) | ~pp(aa(nat,bool,X1,sK1972(X0,X1))) | ~pp(aa(nat,bool,X1,X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3163])])).
% 59.09/9.98  tff(f47026,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : fun(nat,bool)] : (sP363(X1,X0) | ~pp(aa(nat,bool,X1,sK1972(X0,X1))) | ~pp(aa(nat,bool,X1,X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32439])).
% 59.09/9.98  tff(f32439,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP363(X1,X0) | (~pp(aa(nat,bool,X1,sK1972(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1972(X0,X1)),X0))) | ~pp(aa(nat,bool,X1,X0))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,X0))) | ~sP363(X1,X0)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1972])],[f32437,f32438])).
% 59.09/9.98  tff(f32438,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) => (~pp(aa(nat,bool,X1,sK1972(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1972(X0,X1)),X0))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f32437,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP363(X1,X0) | ? [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) | ~pp(aa(nat,bool,X1,X0))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,X0))) | ~sP363(X1,X0)))),
% 59.09/9.98    inference(rectify,[],[f32436])).
% 59.09/9.98  tff(f32436,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP363(X1,X0) | ? [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | ~pp(aa(nat,bool,X1,X0))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,X0))) | ~sP363(X1,X0)))),
% 59.09/9.98    inference(flattening,[],[f32435])).
% 59.09/9.98  tff(f32435,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP363(X1,X0) | (? [X3 : nat] : (~pp(aa(nat,bool,X1,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | ~pp(aa(nat,bool,X1,X0)))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,X0))) | ~sP363(X1,X0)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27639])).
% 59.09/9.98  tff(f27639,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (sP363(X1,X0) <=> (! [X3 : nat] : (pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,X0))))),
% 59.09/9.98    inference(definition_folding,[],[f25533,f27638])).
% 59.09/9.98  tff(f27638,plain,(
% 59.09/9.98    ! [X1 : fun(nat,bool),X0 : nat] : (sP363(X1,X0) <=> ! [X2 : nat] : (pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP363])])).
% 59.09/9.98  tff(f25533,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (! [X2 : nat] : (pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (! [X3 : nat] : (pp(aa(nat,bool,X1,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,X0))))),
% 59.09/9.98    inference(ennf_transformation,[],[f16716])).
% 59.09/9.98  tff(f16716,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : fun(nat,bool)] : (! [X2 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0))) => pp(aa(nat,bool,X1,X2))) <=> (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0)) => pp(aa(nat,bool,X1,X3))) & pp(aa(nat,bool,X1,X0))))),
% 59.09/9.98    inference(rectify,[],[f40])).
% 59.09/9.98  tff(f40,axiom,(
% 59.09/9.98    ! [X8 : nat,X17 : fun(nat,bool)] : (! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,suc,X8))) => pp(aa(nat,bool,X17,X29))) <=> (! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),X8)) => pp(aa(nat,bool,X17,X29))) & pp(aa(nat,bool,X17,X8))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_All__less__Suc)).
% 59.09/9.98  tff(f85037,plain,(
% 59.09/9.98    spl2737_3162 | ~spl2737_3161),
% 59.09/9.98    inference(avatar_split_clause,[],[f85033,f85030,f85035])).
% 59.09/9.98  tff(f85035,plain,(
% 59.09/9.98    spl2737_3162 <=> ! [X0 : int,X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),X0),zero_zero(int))) | sP358(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3162])])).
% 59.09/9.98  tff(f85030,plain,(
% 59.09/9.98    spl2737_3161 <=> ! [X0 : int,X1 : int] : (sP358(X0,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3161])])).
% 59.09/9.98  tff(f85033,plain,(
% 59.09/9.98    ( ! [X0 : int,X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),X0),zero_zero(int))) | sP358(X0,X1)) ) | ~spl2737_3161),
% 59.09/9.98    inference(forward_demodulation,[],[f85031,f50171])).
% 59.09/9.98  tff(f85031,plain,(
% 59.09/9.98    ( ! [X0 : int,X1 : int] : (sP358(X0,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0))) ) | ~spl2737_3161),
% 59.09/9.98    inference(avatar_component_clause,[],[f85030])).
% 59.09/9.98  tff(f85032,plain,(
% 59.09/9.98    spl2737_3161),
% 59.09/9.98    inference(avatar_split_clause,[],[f46730,f85030])).
% 59.09/9.98  tff(f46730,plain,(
% 59.09/9.98    ( ! [X0 : int,X1 : int] : (sP358(X0,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X0))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32262])).
% 59.09/9.98  tff(f85028,plain,(
% 59.09/9.98    spl2737_3160),
% 59.09/9.98    inference(avatar_split_clause,[],[f46602,f85026])).
% 59.09/9.98  tff(f85026,plain,(
% 59.09/9.98    spl2737_3160 <=> ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,list(nat),nat_list_decode,X0) != aa(nat,list(nat),nat_list_decode,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3160])])).
% 59.09/9.98  tff(f46602,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,list(nat),nat_list_decode,X0) != aa(nat,list(nat),nat_list_decode,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32191])).
% 59.09/9.98  tff(f32191,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : ((aa(nat,list(nat),nat_list_decode,X0) = aa(nat,list(nat),nat_list_decode,X1) | X0 != X1) & (X0 = X1 | aa(nat,list(nat),nat_list_decode,X0) != aa(nat,list(nat),nat_list_decode,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f16560])).
% 59.09/9.98  tff(f16560,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : (aa(nat,list(nat),nat_list_decode,X0) = aa(nat,list(nat),nat_list_decode,X1) <=> X0 = X1)),
% 59.09/9.98    inference(rectify,[],[f7128])).
% 59.09/9.98  tff(f7128,axiom,(
% 59.09/9.98    ! [X14 : nat,X15 : nat] : (aa(nat,list(nat),nat_list_decode,X14) = aa(nat,list(nat),nat_list_decode,X15) <=> X14 = X15)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7127_list__decode__eq)).
% 59.09/9.98  tff(f85024,plain,(
% 59.09/9.98    spl2737_3159),
% 59.09/9.98    inference(avatar_split_clause,[],[f46513,f85022])).
% 59.09/9.98  tff(f85022,plain,(
% 59.09/9.98    spl2737_3159 <=> ! [X0 : list(nat),X1 : list(nat)] : (X0 = X1 | aa(list(nat),nat,nat_list_encode,X0) != aa(list(nat),nat,nat_list_encode,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3159])])).
% 59.09/9.98  tff(f46513,plain,(
% 59.09/9.98    ( ! [X0 : list(nat),X1 : list(nat)] : (X0 = X1 | aa(list(nat),nat,nat_list_encode,X0) != aa(list(nat),nat,nat_list_encode,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32130])).
% 59.09/9.98  tff(f32130,plain,(
% 59.09/9.98    ! [X0 : list(nat),X1 : list(nat)] : ((aa(list(nat),nat,nat_list_encode,X0) = aa(list(nat),nat,nat_list_encode,X1) | X0 != X1) & (X0 = X1 | aa(list(nat),nat,nat_list_encode,X0) != aa(list(nat),nat,nat_list_encode,X1)))),
% 59.09/9.98    inference(nnf_transformation,[],[f16518])).
% 59.09/9.98  tff(f16518,plain,(
% 59.09/9.98    ! [X0 : list(nat),X1 : list(nat)] : (aa(list(nat),nat,nat_list_encode,X0) = aa(list(nat),nat,nat_list_encode,X1) <=> X0 = X1)),
% 59.09/9.98    inference(rectify,[],[f5436])).
% 59.09/9.98  tff(f5436,axiom,(
% 59.09/9.98    ! [X14 : list(nat),X15 : list(nat)] : (aa(list(nat),nat,nat_list_encode,X14) = aa(list(nat),nat,nat_list_encode,X15) <=> X14 = X15)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5435_list__encode__eq)).
% 59.09/9.98  tff(f85020,plain,(
% 59.09/9.98    spl2737_3158),
% 59.09/9.98    inference(avatar_split_clause,[],[f46405,f85018])).
% 59.09/9.98  tff(f85018,plain,(
% 59.09/9.98    spl2737_3158 <=> ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK1951(X0,X1),top_top(set(nat))) | pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3158])])).
% 59.09/9.98  tff(f46405,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK1951(X0,X1),top_top(set(nat))) | pp(aa(set(X0),bool,finite_finite(X0),X1))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f32057])).
% 59.09/9.98  tff(f32057,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : ((~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ! [X2 : fun(nat,X0)] : (~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) | ~inj_on(nat,X0,X2,top_top(set(nat))))) & ((pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,sK1951(X0,X1),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK1951(X0,X1),top_top(set(nat)))) | pp(aa(set(X0),bool,finite_finite(X0),X1))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1951])],[f32055,f32056])).
% 59.09/9.98  tff(f32056,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : (? [X3 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X3,top_top(set(nat)))),X1)) & inj_on(nat,X0,X3,top_top(set(nat)))) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,sK1951(X0,X1),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK1951(X0,X1),top_top(set(nat)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f32055,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : ((~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ! [X2 : fun(nat,X0)] : (~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) | ~inj_on(nat,X0,X2,top_top(set(nat))))) & (? [X3 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X3,top_top(set(nat)))),X1)) & inj_on(nat,X0,X3,top_top(set(nat)))) | pp(aa(set(X0),bool,finite_finite(X0),X1))))),
% 59.09/9.98    inference(rectify,[],[f32054])).
% 59.09/9.98  tff(f32054,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : ((~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ! [X2 : fun(nat,X0)] : (~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) | ~inj_on(nat,X0,X2,top_top(set(nat))))) & (? [X2 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))) | pp(aa(set(X0),bool,finite_finite(X0),X1))))),
% 59.09/9.98    inference(nnf_transformation,[],[f16476])).
% 59.09/9.98  tff(f16476,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : (~pp(aa(set(X0),bool,finite_finite(X0),X1)) <=> ? [X2 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))))),
% 59.09/9.98    inference(rectify,[],[f6217])).
% 59.09/9.98  tff(f6217,axiom,(
% 59.09/9.98    ! [X0 : $tType,X119 : set(X0)] : (~pp(aa(set(X0),bool,finite_finite(X0),X119)) <=> ? [X237 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X237,top_top(set(nat)))),X119)) & inj_on(nat,X0,X237,top_top(set(nat)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6216_infinite__iff__countable__subset)).
% 59.09/9.98  tff(f85011,plain,(
% 59.09/9.98    spl2737_3157 | ~spl2737_3156),
% 59.09/9.98    inference(avatar_split_clause,[],[f85007,f85004,f85009])).
% 59.09/9.98  tff(f85009,plain,(
% 59.09/9.98    spl2737_3157 <=> ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X14),sK1928(X0,X1))) | ~sP344(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3157])])).
% 59.09/9.98  tff(f85004,plain,(
% 59.09/9.98    spl2737_3156 <=> ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1928(X0,X1)),X14)) | ~sP344(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3156])])).
% 59.09/9.98  tff(f85007,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X14),sK1928(X0,X1))) | ~sP344(X0,X1)) ) | ~spl2737_3156),
% 59.09/9.98    inference(forward_demodulation,[],[f85005,f50171])).
% 59.09/9.98  tff(f85005,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1928(X0,X1)),X14)) | ~sP344(X0,X1)) ) | ~spl2737_3156),
% 59.09/9.98    inference(avatar_component_clause,[],[f85004])).
% 59.09/9.98  tff(f85006,plain,(
% 59.09/9.98    spl2737_3156),
% 59.09/9.98    inference(avatar_split_clause,[],[f46267,f85004])).
% 59.09/9.98  tff(f46267,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1928(X0,X1)),X14)) | ~sP344(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31947])).
% 59.09/9.98  tff(f31947,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP344(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1922(X2)),sK1923(X2))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1922(X2)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),sK1924(X4))) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3) | ~vEBT_invar_vebt(X4,X3) | (~vEBT_invar_vebt(sK1925(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1925(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & ((! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1926(X0,X1))))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1928(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1927(X0,X1)),sK1927(X0,X1)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1926(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1927(X0,X1)) & vEBT_invar_vebt(sK1928(X0,X1),sK1927(X0,X1)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK1927(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1926(X0,X1))))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK1926(X0,X1),sK1928(X0,X1)) = X1) | ~sP344(X0,X1)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1922,sK1923,sK1924,sK1925,sK1926,sK1927,sK1928])],[f31941,f31946,f31945,f31944,f31943,f31942])).
% 59.09/9.98  tff(f31942,plain,(
% 59.09/9.98    ! [X2 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1922(X2)),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1922(X2)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31943,plain,(
% 59.09/9.98    ! [X2 : list(vEBT_VEBT)] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1922(X2)),X6)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1922(X2)),sK1923(X2))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31944,plain,(
% 59.09/9.98    ! [X4 : vEBT_VEBT] : (? [X7 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X7)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),sK1924(X4))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31945,plain,(
% 59.09/9.98    ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (~vEBT_invar_vebt(sK1925(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1925(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31946,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),X10) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X10) & vEBT_invar_vebt(X11,X10) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) => (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1926(X0,X1))))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1928(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1927(X0,X1)),sK1927(X0,X1)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1926(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1927(X0,X1)) & vEBT_invar_vebt(sK1928(X0,X1),sK1927(X0,X1)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK1927(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1926(X0,X1))))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK1926(X0,X1),sK1928(X0,X1)) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31941,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP344(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | ? [X7 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X7)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3) | ~vEBT_invar_vebt(X4,X3) | ? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),X10) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X10) & vEBT_invar_vebt(X11,X10) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) | ~sP344(X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f31940])).
% 59.09/9.98  tff(f31940,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : ((sP344(X1,X0) | ! [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (? [X36 : vEBT_VEBT] : (? [X37 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X36),X37)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X36),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) | ? [X38 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X35),X38)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) != X1 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X34) | ~vEBT_invar_vebt(X35,X34) | ? [X39 : vEBT_VEBT] : (~vEBT_invar_vebt(X39,X34) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X39),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) | vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) != X0)) & (? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X36),X37)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X36),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & ! [X38 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X35),X38)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (vEBT_invar_vebt(X39,X34) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X39),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0) | ~sP344(X1,X0)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27605])).
% 59.09/9.98  tff(f27605,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (sP344(X1,X0) <=> ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X36),X37)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X36),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & ! [X38 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X35),X38)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (vEBT_invar_vebt(X39,X34) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X39),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP344])])).
% 59.09/9.98  tff(f85002,plain,(
% 59.09/9.98    spl2737_3155),
% 59.09/9.98    inference(avatar_split_clause,[],[f46262,f85000])).
% 59.09/9.98  tff(f85000,plain,(
% 59.09/9.98    spl2737_3155 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK1926(X0,X1),sK1928(X0,X1)) = X1 | ~sP344(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3155])])).
% 59.09/9.98  tff(f46262,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK1926(X0,X1),sK1928(X0,X1)) = X1 | ~sP344(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31947])).
% 59.09/9.98  tff(f84993,plain,(
% 59.09/9.98    spl2737_3154 | ~spl2737_3153),
% 59.09/9.98    inference(avatar_split_clause,[],[f84989,f84986,f84991])).
% 59.09/9.98  tff(f84991,plain,(
% 59.09/9.98    spl2737_3154 <=> ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X14),sK1921(X0,X1))) | ~sP345(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3154])])).
% 59.09/9.98  tff(f84986,plain,(
% 59.09/9.98    spl2737_3153 <=> ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1921(X0,X1)),X14)) | ~sP345(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3153])])).
% 59.09/9.98  tff(f84989,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X14),sK1921(X0,X1))) | ~sP345(X0,X1)) ) | ~spl2737_3153),
% 59.09/9.98    inference(forward_demodulation,[],[f84987,f50171])).
% 59.09/9.98  tff(f84987,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1921(X0,X1)),X14)) | ~sP345(X0,X1)) ) | ~spl2737_3153),
% 59.09/9.98    inference(avatar_component_clause,[],[f84986])).
% 59.09/9.98  tff(f84988,plain,(
% 59.09/9.98    spl2737_3153),
% 59.09/9.98    inference(avatar_split_clause,[],[f46256,f84986])).
% 59.09/9.98  tff(f46256,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X14 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1921(X0,X1)),X14)) | ~sP345(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31939])).
% 59.09/9.98  tff(f31939,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP345(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1915(X2)),sK1916(X2))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1915(X2)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),sK1917(X4))) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | (~vEBT_invar_vebt(sK1918(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1918(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & ((! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1919(X0,X1))))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1921(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1920(X0,X1)),aa(nat,nat,suc,sK1920(X0,X1))) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1919(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,sK1920(X0,X1))) & vEBT_invar_vebt(sK1921(X0,X1),aa(nat,nat,suc,sK1920(X0,X1))) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK1920(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1919(X0,X1))))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK1919(X0,X1),sK1921(X0,X1)) = X1) | ~sP345(X0,X1)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1915,sK1916,sK1917,sK1918,sK1919,sK1920,sK1921])],[f31933,f31938,f31937,f31936,f31935,f31934])).
% 59.09/9.98  tff(f31934,plain,(
% 59.09/9.98    ! [X2 : list(vEBT_VEBT)] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1915(X2)),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1915(X2)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31935,plain,(
% 59.09/9.98    ! [X2 : list(vEBT_VEBT)] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1915(X2)),X6)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1915(X2)),sK1916(X2))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31936,plain,(
% 59.09/9.98    ! [X4 : vEBT_VEBT] : (? [X7 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X7)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),sK1917(X4))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31937,plain,(
% 59.09/9.98    ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (~vEBT_invar_vebt(sK1918(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1918(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31938,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),aa(nat,nat,suc,X10)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X10)) & vEBT_invar_vebt(X11,aa(nat,nat,suc,X10)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) => (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1919(X0,X1))))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1921(X0,X1)),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1920(X0,X1)),aa(nat,nat,suc,sK1920(X0,X1))) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1919(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,sK1920(X0,X1))) & vEBT_invar_vebt(sK1921(X0,X1),aa(nat,nat,suc,sK1920(X0,X1))) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,sK1920(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1919(X0,X1))))) & vEBT_Node(none(product_prod(nat,nat)),X0,sK1919(X0,X1),sK1921(X0,X1)) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31933,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP345(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT] : (? [X5 : vEBT_VEBT] : (? [X6 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X5),X6)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | ? [X7 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X7)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | ? [X8 : vEBT_VEBT] : (~vEBT_invar_vebt(X8,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(none(product_prod(nat,nat)),X0,X2,X4) != X1)) & (? [X9 : list(vEBT_VEBT),X10 : nat,X11 : vEBT_VEBT] : (! [X12 : vEBT_VEBT] : (! [X13 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X12),X13)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X12),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & ! [X14 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X11),X14)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X10),aa(nat,nat,suc,X10)) = X0 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X9) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X10)) & vEBT_invar_vebt(X11,aa(nat,nat,suc,X10)) & ! [X15 : vEBT_VEBT] : (vEBT_invar_vebt(X15,X10) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X15),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X9)))) & vEBT_Node(none(product_prod(nat,nat)),X0,X9,X11) = X1) | ~sP345(X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f31932])).
% 59.09/9.98  tff(f31932,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : ((sP345(X1,X0) | ! [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (? [X29 : vEBT_VEBT] : (? [X30 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X29),X30)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) | ? [X31 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X28),X31)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) != X1 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X27)) | ~vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) | ? [X32 : vEBT_VEBT] : (~vEBT_invar_vebt(X32,X27) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) | vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) != X0)) & (? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X29),X30)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & ! [X31 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ~sP345(X1,X0)))),
% 59.09/9.98    inference(nnf_transformation,[],[f27606])).
% 59.09/9.98  tff(f27606,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (sP345(X1,X0) <=> ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X29),X30)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & ! [X31 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP345])])).
% 59.09/9.98  tff(f84984,plain,(
% 59.09/9.98    spl2737_3152),
% 59.09/9.98    inference(avatar_split_clause,[],[f46251,f84982])).
% 59.09/9.98  tff(f84982,plain,(
% 59.09/9.98    spl2737_3152 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK1919(X0,X1),sK1921(X0,X1)) = X1 | ~sP345(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3152])])).
% 59.09/9.98  tff(f46251,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),X0,sK1919(X0,X1),sK1921(X0,X1)) = X1 | ~sP345(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31939])).
% 59.09/9.98  tff(f84974,plain,(
% 59.09/9.98    spl2737_3151 | ~spl2737_3150),
% 59.09/9.98    inference(avatar_split_clause,[],[f84970,f84967,f84972])).
% 59.09/9.98  tff(f84972,plain,(
% 59.09/9.98    spl2737_3151 <=> ! [X0 : fun(real,bool)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK1883(X0)),sK1882(X0))) | ~sP335(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3151])])).
% 59.09/9.98  tff(f84967,plain,(
% 59.09/9.98    spl2737_3150 <=> ! [X0 : fun(real,bool)] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1882(X0)),sK1883(X0))) | ~sP335(X0))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3150])])).
% 59.09/9.98  tff(f84970,plain,(
% 59.09/9.98    ( ! [X0 : fun(real,bool)] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),sK1883(X0)),sK1882(X0))) | ~sP335(X0)) ) | ~spl2737_3150),
% 59.09/9.98    inference(forward_demodulation,[],[f84968,f50171])).
% 59.09/9.98  tff(f84968,plain,(
% 59.09/9.98    ( ! [X0 : fun(real,bool)] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1882(X0)),sK1883(X0))) | ~sP335(X0)) ) | ~spl2737_3150),
% 59.09/9.98    inference(avatar_component_clause,[],[f84967])).
% 59.09/9.98  tff(f84969,plain,(
% 59.09/9.98    spl2737_3150),
% 59.09/9.98    inference(avatar_split_clause,[],[f46182,f84967])).
% 59.09/9.98  tff(f46182,plain,(
% 59.09/9.98    ( ! [X0 : fun(real,bool)] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1882(X0)),sK1883(X0))) | ~sP335(X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31884])).
% 59.09/9.98  tff(f31884,plain,(
% 59.09/9.98    ! [X0 : fun(real,bool)] : ((~pp(aa(real,bool,X0,sK1883(X0))) & pp(aa(real,bool,X0,sK1882(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1882(X0)),sK1883(X0)))) | ~sP335(X0))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1882,sK1883])],[f31882,f31883])).
% 59.09/9.98  tff(f31883,plain,(
% 59.09/9.98    ! [X0 : fun(real,bool)] : (? [X1 : real,X2 : real] : (~pp(aa(real,bool,X0,X2)) & pp(aa(real,bool,X0,X1)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),X2))) => (~pp(aa(real,bool,X0,sK1883(X0))) & pp(aa(real,bool,X0,sK1882(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1882(X0)),sK1883(X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31882,plain,(
% 59.09/9.98    ! [X0 : fun(real,bool)] : (? [X1 : real,X2 : real] : (~pp(aa(real,bool,X0,X2)) & pp(aa(real,bool,X0,X1)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),X2))) | ~sP335(X0))),
% 59.09/9.98    inference(rectify,[],[f31881])).
% 59.09/9.98  tff(f31881,plain,(
% 59.09/9.98    ! [X0 : fun(real,bool)] : (? [X2 : real,X3 : real] : (~pp(aa(real,bool,X0,X3)) & pp(aa(real,bool,X0,X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),X3))) | ~sP335(X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27595])).
% 59.09/9.98  tff(f27595,plain,(
% 59.09/9.98    ! [X0 : fun(real,bool)] : (? [X2 : real,X3 : real] : (~pp(aa(real,bool,X0,X3)) & pp(aa(real,bool,X0,X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X2),X3))) | ~sP335(X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP335])])).
% 59.09/9.98  tff(f84965,plain,(
% 59.09/9.98    spl2737_3149),
% 59.09/9.98    inference(avatar_split_clause,[],[f45956,f84963])).
% 59.09/9.98  tff(f84963,plain,(
% 59.09/9.98    spl2737_3149 <=> ! [X1 : $tType,X2 : $tType,X4 : fun(X2,bool),X0 : fun(X2,X1),X3 : fun(X1,X2)] : (pp(aa(X2,bool,X4,sK1788(X1,X2,X0,X3,X4))) | ~sP323(X1,X2,X0,X3,X4))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3149])])).
% 59.09/9.98  tff(f45956,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X0 : fun(X2,X1),X4 : fun(X2,bool)] : (pp(aa(X2,bool,X4,sK1788(X1,X2,X0,X3,X4))) | ~sP323(X1,X2,X0,X3,X4)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31712])).
% 59.09/9.98  tff(f31712,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,bool)] : ((sK1788(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK1788(X1,X2,X0,X3,X4))) & pp(aa(X2,bool,X4,sK1788(X1,X2,X0,X3,X4)))) | ~sP323(X1,X2,X0,X3,X4))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1788])],[f31710,f31711])).
% 59.09/9.98  tff(f31711,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X1,X2),X4 : fun(X2,bool)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & pp(aa(X2,bool,X4,X5))) => (sK1788(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK1788(X1,X2,X0,X3,X4))) & pp(aa(X2,bool,X4,sK1788(X1,X2,X0,X3,X4)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31710,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,bool)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & pp(aa(X2,bool,X4,X5))) | ~sP323(X1,X2,X0,X3,X4))),
% 59.09/9.98    inference(rectify,[],[f31709])).
% 59.09/9.98  tff(f31709,plain,(
% 59.09/9.98    ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,bool)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & pp(aa(X0,bool,X4,X9))) | ~sP323(X1,X0,X5,X3,X4))),
% 59.09/9.98    inference(nnf_transformation,[],[f27579])).
% 59.09/9.98  tff(f27579,plain,(
% 59.09/9.98    ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,bool)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & pp(aa(X0,bool,X4,X9))) | ~sP323(X1,X0,X5,X3,X4))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP323])])).
% 59.09/9.98  tff(f84961,plain,(
% 59.09/9.98    spl2737_3148),
% 59.09/9.98    inference(avatar_split_clause,[],[f45946,f84959])).
% 59.09/9.98  tff(f84959,plain,(
% 59.09/9.98    spl2737_3148 <=> ! [X1 : $tType,X2 : $tType,X4 : fun(X2,bool),X0 : fun(X2,X1),X3 : fun(X1,X2)] : (pp(aa(X2,bool,X4,sK1783(X1,X2,X0,X3,X4))) | ~sP321(X1,X2,X0,X3,X4))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3148])])).
% 59.09/9.98  tff(f45946,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X0 : fun(X2,X1),X4 : fun(X2,bool)] : (pp(aa(X2,bool,X4,sK1783(X1,X2,X0,X3,X4))) | ~sP321(X1,X2,X0,X3,X4)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31700])).
% 59.09/9.98  tff(f31700,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,bool)] : ((sK1783(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK1783(X1,X2,X0,X3,X4))) & pp(aa(X2,bool,X4,sK1783(X1,X2,X0,X3,X4)))) | ~sP321(X1,X2,X0,X3,X4))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1783])],[f31698,f31699])).
% 59.09/9.98  tff(f31699,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X1,X2),X4 : fun(X2,bool)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & pp(aa(X2,bool,X4,X5))) => (sK1783(X1,X2,X0,X3,X4) != aa(X1,X2,X3,aa(X2,X1,X0,sK1783(X1,X2,X0,X3,X4))) & pp(aa(X2,bool,X4,sK1783(X1,X2,X0,X3,X4)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31698,plain,(
% 59.09/9.98    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X1,X2),X4 : fun(X2,bool)] : (? [X5 : X2] : (aa(X1,X2,X3,aa(X2,X1,X0,X5)) != X5 & pp(aa(X2,bool,X4,X5))) | ~sP321(X1,X2,X0,X3,X4))),
% 59.09/9.98    inference(rectify,[],[f31697])).
% 59.09/9.98  tff(f31697,plain,(
% 59.09/9.98    ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,bool)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & pp(aa(X0,bool,X4,X9))) | ~sP321(X1,X0,X5,X3,X4))),
% 59.09/9.98    inference(nnf_transformation,[],[f27576])).
% 59.09/9.98  tff(f27576,plain,(
% 59.09/9.98    ! [X5 : fun(X0,X1),X1 : $tType,X0 : $tType,X3 : fun(X1,X0),X4 : fun(X0,bool)] : (? [X9 : X0] : (aa(X1,X0,X3,aa(X0,X1,X5,X9)) != X9 & pp(aa(X0,bool,X4,X9))) | ~sP321(X1,X0,X5,X3,X4))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP321])])).
% 59.09/9.98  tff(f84957,plain,(
% 59.09/9.98    spl2737_3147),
% 59.09/9.98    inference(avatar_split_clause,[],[f45844,f84955])).
% 59.09/9.98  tff(f84955,plain,(
% 59.09/9.98    spl2737_3147 <=> ! [X1 : $tType,X0 : $tType,X3 : filter(X1),X2 : X0] : (has_derivative(X1,X0,aTP_Lamp_rk(X0,fun(X1,X0),X2),aTP_Lamp_rl(X1,X0),X3) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3147])])).
% 59.09/9.98  tff(f45844,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : filter(X1)] : (has_derivative(X1,X0,aTP_Lamp_rk(X0,fun(X1,X0),X2),aTP_Lamp_rl(X1,X0),X3) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f25169])).
% 59.09/9.98  tff(f25169,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0,X3 : filter(X1)] : has_derivative(X1,X0,aTP_Lamp_rk(X0,fun(X1,X0),X2),aTP_Lamp_rl(X1,X0),X3) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.09/9.98    inference(flattening,[],[f25168])).
% 59.09/9.98  tff(f25168,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0,X3 : filter(X1)] : has_derivative(X1,X0,aTP_Lamp_rk(X0,fun(X1,X0),X2),aTP_Lamp_rl(X1,X0),X3) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 59.09/9.98    inference(ennf_transformation,[],[f16256])).
% 59.09/9.98  tff(f16256,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : X0,X3 : filter(X1)] : has_derivative(X1,X0,aTP_Lamp_rk(X0,fun(X1,X0),X2),aTP_Lamp_rl(X1,X0),X3))),
% 59.09/9.98    inference(rectify,[],[f5800])).
% 59.09/9.98  tff(f5800,axiom,(
% 59.09/9.98    ! [X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => ! [X50 : X1,X121 : filter(X0)] : has_derivative(X0,X1,aTP_Lamp_rk(X1,fun(X0,X1),X50),aTP_Lamp_rl(X0,X1),X121))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5799_has__derivative__const)).
% 59.09/9.98  tff(f84953,plain,(
% 59.09/9.98    spl2737_3146),
% 59.09/9.98    inference(avatar_split_clause,[],[f45752,f84951])).
% 59.09/9.98  tff(f84951,plain,(
% 59.09/9.98    spl2737_3146 <=> ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1)] : (zero_zero(X1) = aa(X0,X1,X2,zero_zero(X0)) | ~real_Vector_linear(X0,X1,X2) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3146])])).
% 59.09/9.98  tff(f45752,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1)] : (zero_zero(X1) = aa(X0,X1,X2,zero_zero(X0)) | ~real_Vector_linear(X0,X1,X2) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f25021])).
% 59.09/9.98  tff(f25021,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X0,X1)] : (zero_zero(X1) = aa(X0,X1,X2,zero_zero(X0)) | ~real_Vector_linear(X0,X1,X2)) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1))),
% 59.09/9.98    inference(flattening,[],[f25020])).
% 59.09/9.98  tff(f25020,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X0,X1)] : (zero_zero(X1) = aa(X0,X1,X2,zero_zero(X0)) | ~real_Vector_linear(X0,X1,X2)) | (~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1)))),
% 59.09/9.98    inference(ennf_transformation,[],[f16182])).
% 59.09/9.98  tff(f16182,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : ((real_V4867850818363320053vector(X0) & real_V4867850818363320053vector(X1)) => ! [X2 : fun(X0,X1)] : (real_Vector_linear(X0,X1,X2) => zero_zero(X1) = aa(X0,X1,X2,zero_zero(X0))))),
% 59.09/9.98    inference(rectify,[],[f7333])).
% 59.09/9.98  tff(f7333,axiom,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : ((real_V4867850818363320053vector(X0) & real_V4867850818363320053vector(X1)) => ! [X32 : fun(X0,X1)] : (real_Vector_linear(X0,X1,X32) => zero_zero(X1) = aa(X0,X1,X32,zero_zero(X0))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7332_linear__0)).
% 59.09/9.98  tff(f84949,plain,(
% 59.09/9.98    spl2737_3145),
% 59.09/9.98    inference(avatar_split_clause,[],[f45735,f84947])).
% 59.09/9.98  tff(f84947,plain,(
% 59.09/9.98    spl2737_3145 <=> ! [X1 : $tType,X3 : $tType,X4 : X3,X0 : X1,X5 : X3,X2 : fun(X3,X1)] : (order_mono(nat,X3,sK1748(X1,X3,X0,X2,X4,X5)) | ~sP315(X1,X3,X0,X2,X4,X5))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3145])])).
% 59.09/9.98  tff(f45735,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X3 : $tType,X2 : fun(X3,X1),X0 : X1,X4 : X3,X5 : X3] : (order_mono(nat,X3,sK1748(X1,X3,X0,X2,X4,X5)) | ~sP315(X1,X3,X0,X2,X4,X5)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31603])).
% 59.09/9.98  tff(f31603,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : ((~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_we(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK1748(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK1748(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,sK1748(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X5),aa(nat,X3,sK1748(X1,X3,X0,X2,X4,X5),X7))) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,sK1748(X1,X3,X0,X2,X4,X5),X8)),X4))) | ~sP315(X1,X3,X0,X2,X4,X5))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1748])],[f31601,f31602])).
% 59.09/9.98  tff(f31602,plain,(
% 59.09/9.98    ! [X3 : $tType,X1 : $tType,X0 : X1,X2 : fun(X3,X1),X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_we(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,X6) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X5),aa(nat,X3,X6,X7))) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,X6,X8)),X4))) => (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_we(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK1748(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK1748(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,sK1748(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X5),aa(nat,X3,sK1748(X1,X3,X0,X2,X4,X5),X7))) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,sK1748(X1,X3,X0,X2,X4,X5),X8)),X4))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31601,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_we(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_mono(nat,X3,X6) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X5),aa(nat,X3,X6,X7))) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,X6,X8)),X4))) | ~sP315(X1,X3,X0,X2,X4,X5))),
% 59.09/9.98    inference(rectify,[],[f31600])).
% 59.09/9.98  tff(f31600,plain,(
% 59.09/9.98    ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X3 : X1,X2 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_we(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X3),at_top(nat)) & order_mono(nat,X1,X6) & ! [X8 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,X6,X8))) & ! [X7 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X6,X7)),X3))) | ~sP315(X0,X1,X5,X4,X3,X2))),
% 59.09/9.98    inference(nnf_transformation,[],[f27567])).
% 59.09/9.98  tff(f27567,plain,(
% 59.09/9.98    ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X3 : X1,X2 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_we(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X3),at_top(nat)) & order_mono(nat,X1,X6) & ! [X8 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,X6,X8))) & ! [X7 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X6,X7)),X3))) | ~sP315(X0,X1,X5,X4,X3,X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP315])])).
% 59.09/9.98  tff(f84945,plain,(
% 59.09/9.98    spl2737_3144),
% 59.09/9.98    inference(avatar_split_clause,[],[f45729,f84943])).
% 59.09/9.98  tff(f84943,plain,(
% 59.09/9.98    spl2737_3144 <=> ! [X1 : $tType,X3 : $tType,X4 : X3,X0 : X1,X5 : X3,X2 : fun(X3,X1)] : (order_antimono(nat,X3,sK1747(X1,X3,X0,X2,X4,X5)) | ~sP314(X1,X3,X0,X2,X4,X5))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3144])])).
% 59.09/9.98  tff(f45729,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X3 : $tType,X2 : fun(X3,X1),X0 : X1,X4 : X3,X5 : X3] : (order_antimono(nat,X3,sK1747(X1,X3,X0,X2,X4,X5)) | ~sP314(X1,X3,X0,X2,X4,X5)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31599])).
% 59.09/9.98  tff(f31599,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : ((~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_yv(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK1747(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK1747(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,sK1747(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,sK1747(X1,X3,X0,X2,X4,X5),X7)),X5)) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X4),aa(nat,X3,sK1747(X1,X3,X0,X2,X4,X5),X8)))) | ~sP314(X1,X3,X0,X2,X4,X5))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1747])],[f31597,f31598])).
% 59.09/9.98  tff(f31598,plain,(
% 59.09/9.98    ! [X3 : $tType,X1 : $tType,X0 : X1,X2 : fun(X3,X1),X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_yv(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,X6) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,X6,X7)),X5)) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X4),aa(nat,X3,X6,X8)))) => (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_yv(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),sK1747(X1,X3,X0,X2,X4,X5)),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,sK1747(X1,X3,X0,X2,X4,X5),topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,sK1747(X1,X3,X0,X2,X4,X5)) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,sK1747(X1,X3,X0,X2,X4,X5),X7)),X5)) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X4),aa(nat,X3,sK1747(X1,X3,X0,X2,X4,X5),X8)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31597,plain,(
% 59.09/9.98    ! [X0 : X1,X1 : $tType,X2 : fun(X3,X1),X3 : $tType,X4 : X3,X5 : X3] : (? [X6 : fun(nat,X3)] : (~filterlim(nat,X1,aa(fun(nat,X3),fun(nat,X1),aTP_Lamp_yv(fun(X3,X1),fun(fun(nat,X3),fun(nat,X1)),X2),X6),topolo7230453075368039082e_nhds(X1,X0),at_top(nat)) & filterlim(nat,X3,X6,topolo7230453075368039082e_nhds(X3,X4),at_top(nat)) & order_antimono(nat,X3,X6) & ! [X7 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(nat,X3,X6,X7)),X5)) & ! [X8 : nat] : pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),X4),aa(nat,X3,X6,X8)))) | ~sP314(X1,X3,X0,X2,X4,X5))),
% 59.09/9.98    inference(rectify,[],[f31596])).
% 59.09/9.98  tff(f31596,plain,(
% 59.09/9.98    ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X2 : X1,X3 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_yv(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X6) & ! [X8 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X6,X8)),X3)) & ! [X7 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,X6,X7)))) | ~sP314(X0,X1,X5,X4,X2,X3))),
% 59.09/9.98    inference(nnf_transformation,[],[f27565])).
% 59.09/9.98  tff(f27565,plain,(
% 59.09/9.98    ! [X5 : X0,X0 : $tType,X4 : fun(X1,X0),X1 : $tType,X2 : X1,X3 : X1] : (? [X6 : fun(nat,X1)] : (~filterlim(nat,X0,aa(fun(nat,X1),fun(nat,X0),aTP_Lamp_yv(fun(X1,X0),fun(fun(nat,X1),fun(nat,X0)),X4),X6),topolo7230453075368039082e_nhds(X0,X5),at_top(nat)) & filterlim(nat,X1,X6,topolo7230453075368039082e_nhds(X1,X2),at_top(nat)) & order_antimono(nat,X1,X6) & ! [X8 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(nat,X1,X6,X8)),X3)) & ! [X7 : nat] : pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),aa(nat,X1,X6,X7)))) | ~sP314(X0,X1,X5,X4,X2,X3))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP314])])).
% 59.09/9.98  tff(f84941,plain,(
% 59.09/9.98    spl2737_3143),
% 59.09/9.98    inference(avatar_split_clause,[],[f45473,f84939])).
% 59.09/9.98  tff(f84939,plain,(
% 59.09/9.98    spl2737_3143 <=> ! [X5 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X0,sK1727(X0,X1))) | ~pp(aa(int,bool,X0,X5)) | ~sP313(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3143])])).
% 59.09/9.98  tff(f45473,plain,(
% 59.09/9.98    ( ! [X0 : fun(int,bool),X1 : int,X5 : int] : (pp(aa(int,bool,X0,sK1727(X0,X1))) | ~pp(aa(int,bool,X0,X5)) | ~sP313(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31522])).
% 59.09/9.98  tff(f31522,plain,(
% 59.09/9.98    ! [X0 : fun(int,bool),X1 : int] : (((pp(aa(int,bool,X0,sK1726(X0))) | ! [X3 : int] : (~pp(aa(int,bool,X0,X3)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X3),set_or1337092689740270186AtMost(int,one_one(int),X1))))) & ((pp(aa(int,bool,X0,sK1727(X0,X1))) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),sK1727(X0,X1)),set_or1337092689740270186AtMost(int,one_one(int),X1)))) | ! [X5 : int] : ~pp(aa(int,bool,X0,X5)))) | ~sP313(X0,X1))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1726,sK1727])],[f31519,f31521,f31520])).
% 59.09/9.98  tff(f31520,plain,(
% 59.09/9.98    ! [X0 : fun(int,bool)] : (? [X2 : int] : pp(aa(int,bool,X0,X2)) => pp(aa(int,bool,X0,sK1726(X0))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31521,plain,(
% 59.09/9.98    ! [X0 : fun(int,bool),X1 : int] : (? [X4 : int] : (pp(aa(int,bool,X0,X4)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X1)))) => (pp(aa(int,bool,X0,sK1727(X0,X1))) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),sK1727(X0,X1)),set_or1337092689740270186AtMost(int,one_one(int),X1)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31519,plain,(
% 59.09/9.98    ! [X0 : fun(int,bool),X1 : int] : (((? [X2 : int] : pp(aa(int,bool,X0,X2)) | ! [X3 : int] : (~pp(aa(int,bool,X0,X3)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X3),set_or1337092689740270186AtMost(int,one_one(int),X1))))) & (? [X4 : int] : (pp(aa(int,bool,X0,X4)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X1)))) | ! [X5 : int] : ~pp(aa(int,bool,X0,X5)))) | ~sP313(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f31518])).
% 59.09/9.98  tff(f31518,plain,(
% 59.09/9.98    ! [X1 : fun(int,bool),X0 : int] : (((? [X4 : int] : pp(aa(int,bool,X1,X4)) | ! [X5 : int] : (~pp(aa(int,bool,X1,X5)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) & (? [X5 : int] : (pp(aa(int,bool,X1,X5)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X4 : int] : ~pp(aa(int,bool,X1,X4)))) | ~sP313(X1,X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27563])).
% 59.09/9.98  tff(f27563,plain,(
% 59.09/9.98    ! [X1 : fun(int,bool),X0 : int] : ((? [X4 : int] : pp(aa(int,bool,X1,X4)) <=> ? [X5 : int] : (pp(aa(int,bool,X1,X5)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP313(X1,X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP313])])).
% 59.09/9.98  tff(f84937,plain,(
% 59.09/9.98    spl2737_3142),
% 59.09/9.98    inference(avatar_split_clause,[],[f45197,f84935])).
% 59.09/9.98  tff(f84935,plain,(
% 59.09/9.98    spl2737_3142 <=> ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK1683(X0,X1),top_top(set(nat))) | pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3142])])).
% 59.09/9.98  tff(f45197,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(nat,X0,sK1683(X0,X1),top_top(set(nat))) | pp(aa(set(X0),bool,finite_finite(X0),X1))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31417])).
% 59.09/9.98  tff(f31417,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : ((pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,sK1683(X0,X1),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK1683(X0,X1),top_top(set(nat)))) | pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1683])],[f24453,f31416])).
% 59.09/9.98  tff(f31416,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,sK1683(X0,X1),top_top(set(nat)))),X1)) & inj_on(nat,X0,sK1683(X0,X1),top_top(set(nat)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f24453,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))) | pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.09/9.98    inference(ennf_transformation,[],[f15783])).
% 59.09/9.98  tff(f15783,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : set(X0)] : (~pp(aa(set(X0),bool,finite_finite(X0),X1)) => ? [X2 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X2,top_top(set(nat)))),X1)) & inj_on(nat,X0,X2,top_top(set(nat)))))),
% 59.09/9.98    inference(rectify,[],[f6216])).
% 59.09/9.98  tff(f6216,axiom,(
% 59.09/9.98    ! [X0 : $tType,X119 : set(X0)] : (~pp(aa(set(X0),bool,finite_finite(X0),X119)) => ? [X43 : fun(nat,X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),image(nat,X0,X43,top_top(set(nat)))),X119)) & inj_on(nat,X0,X43,top_top(set(nat)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6215_infinite__countable__subset)).
% 59.09/9.98  tff(f84933,plain,(
% 59.09/9.98    spl2737_3141),
% 59.09/9.98    inference(avatar_split_clause,[],[f45141,f84931])).
% 59.09/9.98  tff(f84931,plain,(
% 59.09/9.98    spl2737_3141 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP302(sK1647(X0,X1),sK1646(X0,X1),X0,sK1645(X0,X1),sK1644(X0,X1)) | ~sP303(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3141])])).
% 59.09/9.98  tff(f45141,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP302(sK1647(X0,X1),sK1646(X0,X1),X0,sK1645(X0,X1),sK1644(X0,X1)) | ~sP303(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31360])).
% 59.09/9.98  tff(f31360,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP302(sK1647(X0,X1),sK1646(X0,X1),X0,sK1645(X0,X1),sK1644(X0,X1)) & sK1645(X0,X1) != X0 & sK1644(X0,X1) != X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1644(X0,X1)),sK1645(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1646(X0,X1))),sK1647(X0,X1),sK1648(X0,X1)) = X1) | ~sP303(X0,X1))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1644,sK1645,sK1646,sK1647,sK1648])],[f31357,f31359,f31358])).
% 59.09/9.98  tff(f31358,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP302(X5,X4,X0,X3,X2) & X0 != X3 & X0 != X2 & ? [X6 : 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),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) => (sP302(sK1647(X0,X1),sK1646(X0,X1),X0,sK1645(X0,X1),sK1644(X0,X1)) & sK1645(X0,X1) != X0 & sK1644(X0,X1) != X0 & ? [X6 : 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),product_Pair(nat,nat,sK1644(X0,X1)),sK1645(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1646(X0,X1))),sK1647(X0,X1),X6) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31359,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X6 : 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),product_Pair(nat,nat,sK1644(X0,X1)),sK1645(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1646(X0,X1))),sK1647(X0,X1),X6) = X1 => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1644(X0,X1)),sK1645(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1646(X0,X1))),sK1647(X0,X1),sK1648(X0,X1)) = X1)),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31357,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP302(X5,X4,X0,X3,X2) & X0 != X3 & X0 != X2 & ? [X6 : 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),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) | ~sP303(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f31356])).
% 59.09/9.98  tff(f31356,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (sP302(X16,X15,X1,X14,X13) & X1 != X14 & X1 != X13 & ? [X17 : 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),product_Pair(nat,nat,X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP303(X1,X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27546])).
% 59.09/9.98  tff(f27546,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (sP302(X16,X15,X1,X14,X13) & X1 != X14 & X1 != X13 & ? [X17 : 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),product_Pair(nat,nat,X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP303(X1,X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP303])])).
% 59.09/9.98  tff(f84929,plain,(
% 59.09/9.98    spl2737_3140),
% 59.09/9.98    inference(avatar_split_clause,[],[f45126,f84927])).
% 59.09/9.98  tff(f84927,plain,(
% 59.09/9.98    spl2737_3140 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP297(sK1636(X0,X1),sK1635(X0,X1),X0,sK1634(X0,X1),sK1633(X0,X1)) | ~sP298(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3140])])).
% 59.09/9.98  tff(f45126,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP297(sK1636(X0,X1),sK1635(X0,X1),X0,sK1634(X0,X1),sK1633(X0,X1)) | ~sP298(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31347])).
% 59.09/9.98  tff(f31347,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP297(sK1636(X0,X1),sK1635(X0,X1),X0,sK1634(X0,X1),sK1633(X0,X1)) & sK1634(X0,X1) != X0 & sK1633(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1633(X0,X1)),sK1634(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1635(X0,X1))),sK1636(X0,X1),sK1637(X0,X1))),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1633(X0,X1)),sK1634(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1635(X0,X1))),sK1636(X0,X1),sK1637(X0,X1)) = X1) | ~sP298(X0,X1))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1633,sK1634,sK1635,sK1636,sK1637])],[f31345,f31346])).
% 59.09/9.98  tff(f31346,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP297(X5,X4,X0,X3,X2) & X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6)),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) => (sP297(sK1636(X0,X1),sK1635(X0,X1),X0,sK1634(X0,X1),sK1633(X0,X1)) & sK1634(X0,X1) != X0 & sK1633(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1633(X0,X1)),sK1634(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1635(X0,X1))),sK1636(X0,X1),sK1637(X0,X1))),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1633(X0,X1)),sK1634(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1635(X0,X1))),sK1636(X0,X1),sK1637(X0,X1)) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31345,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP297(X5,X4,X0,X3,X2) & X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6)),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) | ~sP298(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f31344])).
% 59.09/9.98  tff(f31344,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (sP297(X16,X15,X1,X14,X13) & X1 != X14 & X1 != X13 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17)),X1)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP298(X1,X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27540])).
% 59.09/9.98  tff(f27540,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (sP297(X16,X15,X1,X14,X13) & X1 != X14 & X1 != X13 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17)),X1)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP298(X1,X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP298])])).
% 59.09/9.98  tff(f84925,plain,(
% 59.09/9.98    spl2737_3139),
% 59.09/9.98    inference(avatar_split_clause,[],[f45073,f84923])).
% 59.09/9.98  tff(f84923,plain,(
% 59.09/9.98    spl2737_3139 <=> ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP293(X0,X1) | ~distinct(X0,sK1619(X0,X1)) | ~distinct(list(X0),X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3139])])).
% 59.09/9.98  tff(f45073,plain,(
% 59.09/9.98    ( ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP293(X0,X1) | ~distinct(X0,sK1619(X0,X1)) | ~distinct(list(X0),X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31315])).
% 59.09/9.98  tff(f31315,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP293(X0,X1) | (~distinct(X0,sK1619(X0,X1)) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1619(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~distinct(list(X0),X1))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1619])],[f27533,f31314])).
% 59.09/9.98  tff(f31314,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (~distinct(X0,X2) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => (~distinct(X0,sK1619(X0,X1)) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1619(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f27533,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | sP293(X0,X1) | ? [X2 : list(X0)] : (~distinct(X0,X2) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~distinct(list(X0),X1))),
% 59.09/9.98    inference(definition_folding,[],[f24395,f27532])).
% 59.09/9.98  tff(f27532,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(list(X0))] : (? [X3 : list(X0),X4 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~sP293(X0,X1))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP293])])).
% 59.09/9.98  tff(f24395,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ? [X3 : list(X0),X4 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ? [X2 : list(X0)] : (~distinct(X0,X2) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~distinct(list(X0),X1))),
% 59.09/9.98    inference(flattening,[],[f24394])).
% 59.09/9.98  tff(f24394,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(list(X0))] : (((distinct(X0,concat(X0,X1)) | ? [X3 : list(X0),X4 : list(X0)] : (((bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) | ? [X2 : list(X0)] : (~distinct(X0,X2) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) | ~distinct(list(X0),X1))),
% 59.09/9.98    inference(ennf_transformation,[],[f15746])).
% 59.09/9.98  tff(f15746,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),X1) => (! [X2 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => distinct(X0,X2)) => (! [X3 : list(X0),X4 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => (X3 != X4 => bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4))))) => distinct(X0,concat(X0,X1)))))),
% 59.09/9.98    inference(rectify,[],[f4945])).
% 59.09/9.98  tff(f4945,axiom,(
% 59.09/9.98    ! [X0 : $tType,X123 : list(list(X0))] : (distinct(list(X0),X123) => (! [X239 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X239),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X123))) => distinct(X0,X239)) => (! [X239 : list(X0),X240 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X239),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X123))) => (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X240),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X123))) => (X239 != X240 => bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X239)),aa(list(X0),set(X0),set2(X0),X240))))) => distinct(X0,concat(X0,X123)))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4944_distinct__concat)).
% 59.09/9.98  tff(f84921,plain,(
% 59.09/9.98    spl2737_3138),
% 59.09/9.98    inference(avatar_split_clause,[],[f45057,f84919])).
% 59.09/9.98  tff(f84919,plain,(
% 59.09/9.98    spl2737_3138 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))) | ~sP290(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3138])])).
% 59.09/9.98  tff(f45057,plain,(
% 59.09/9.98    ( ! [X0 : vEBT_VEBT,X1 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))) | ~sP290(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31305])).
% 59.09/9.98  tff(f31305,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT,X1 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))) & (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))))) & (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))))) & aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))) = X1) | ~sP290(X0,X1))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1615])],[f31303,f31304])).
% 59.09/9.98  tff(f31304,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT,X1 : nat] : (? [X2 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X1) => (accp(nat,vEBT_v4011308405150292612up_rel,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))) & (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))))) & (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1)))))) & aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31303,plain,(
% 59.09/9.98    ! [X0 : vEBT_VEBT,X1 : nat] : (? [X2 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X1) | ~sP290(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f31302])).
% 59.09/9.98  tff(f31302,plain,(
% 59.09/9.98    ! [X1 : vEBT_VEBT,X0 : nat] : (? [X2 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | ~sP290(X1,X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27527])).
% 59.09/9.98  tff(f84912,plain,(
% 59.09/9.98    spl2737_3137 | ~spl2737_3136),
% 59.09/9.98    inference(avatar_split_clause,[],[f84908,f84905,f84910])).
% 59.09/9.98  tff(f84910,plain,(
% 59.09/9.98    spl2737_3137 <=> ! [X9 : nat,X0 : nat,X1 : vEBT_VEBT] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X9),sK1602(X0,X1))) | ~sP286(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3137])])).
% 59.09/9.98  tff(f84905,plain,(
% 59.09/9.98    spl2737_3136 <=> ! [X9 : nat,X0 : nat,X1 : vEBT_VEBT] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1602(X0,X1)),X9)) | ~sP286(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3136])])).
% 59.09/9.98  tff(f84908,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X9),sK1602(X0,X1))) | ~sP286(X0,X1)) ) | ~spl2737_3136),
% 59.09/9.98    inference(forward_demodulation,[],[f84906,f50171])).
% 59.09/9.98  tff(f84906,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1602(X0,X1)),X9)) | ~sP286(X0,X1)) ) | ~spl2737_3136),
% 59.09/9.98    inference(avatar_component_clause,[],[f84905])).
% 59.09/9.98  tff(f84907,plain,(
% 59.09/9.98    spl2737_3136),
% 59.09/9.98    inference(avatar_split_clause,[],[f45008,f84905])).
% 59.09/9.98  tff(f45008,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1602(X0,X1)),X9)) | ~sP286(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31278])).
% 59.09/9.98  tff(f31278,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1600(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1602(X0,X1)),X9)) & sK1604(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1601(X0,X1)),sK1603(X0,X1)) & sK1601(X0,X1) = sK1603(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1600(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1603(X0,X1)) & vEBT_invar_vebt(sK1602(X0,X1),sK1603(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1601(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1600(X0,X1))))) & sK1604(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1604(X0,X1),sK1600(X0,X1),sK1602(X0,X1)) = X1) | ~sP286(X0,X1))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1600,sK1601,sK1602,sK1603,sK1604])],[f31276,f31277])).
% 59.09/9.98  tff(f31277,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) => (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1600(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1602(X0,X1)),X9)) & sK1604(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1601(X0,X1)),sK1603(X0,X1)) & sK1601(X0,X1) = sK1603(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1600(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1603(X0,X1)) & vEBT_invar_vebt(sK1602(X0,X1),sK1603(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1601(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1600(X0,X1))))) & sK1604(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1604(X0,X1),sK1600(X0,X1),sK1602(X0,X1)) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31276,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) | ~sP286(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f31275])).
% 59.09/9.98  tff(f31275,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : list(vEBT_VEBT),X5 : nat,X6 : vEBT_VEBT,X7 : nat,X8 : nat] : (! [X11 : vEBT_VEBT] : (! [X12 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X11),X12)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & ! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X6),X10)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),X7) = X8 & X5 = X7 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X7) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) & vEBT_invar_vebt(X6,X7) & ! [X9 : vEBT_VEBT] : (vEBT_invar_vebt(X9,X5) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & X1 = X8 & vEBT_Node(none(product_prod(nat,nat)),X8,X4,X6) = X0) | ~sP286(X1,X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27522])).
% 59.09/9.98  tff(f27522,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X4 : list(vEBT_VEBT),X5 : nat,X6 : vEBT_VEBT,X7 : nat,X8 : nat] : (! [X11 : vEBT_VEBT] : (! [X12 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X11),X12)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & ! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X6),X10)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X5),X7) = X8 & X5 = X7 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X7) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X4) & vEBT_invar_vebt(X6,X7) & ! [X9 : vEBT_VEBT] : (vEBT_invar_vebt(X9,X5) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X4)))) & X1 = X8 & vEBT_Node(none(product_prod(nat,nat)),X8,X4,X6) = X0) | ~sP286(X1,X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP286])])).
% 59.09/9.98  tff(f84898,plain,(
% 59.09/9.98    spl2737_3135 | ~spl2737_3134),
% 59.09/9.98    inference(avatar_split_clause,[],[f84894,f84891,f84896])).
% 59.09/9.98  tff(f84896,plain,(
% 59.09/9.98    spl2737_3135 <=> ! [X9 : nat,X0 : nat,X1 : vEBT_VEBT] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X9),sK1597(X0,X1))) | ~sP287(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3135])])).
% 59.09/9.98  tff(f84891,plain,(
% 59.09/9.98    spl2737_3134 <=> ! [X9 : nat,X0 : nat,X1 : vEBT_VEBT] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1597(X0,X1)),X9)) | ~sP287(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3134])])).
% 59.09/9.98  tff(f84894,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X9),sK1597(X0,X1))) | ~sP287(X0,X1)) ) | ~spl2737_3134),
% 59.09/9.98    inference(forward_demodulation,[],[f84892,f50171])).
% 59.09/9.98  tff(f84892,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1597(X0,X1)),X9)) | ~sP287(X0,X1)) ) | ~spl2737_3134),
% 59.09/9.98    inference(avatar_component_clause,[],[f84891])).
% 59.09/9.98  tff(f84893,plain,(
% 59.09/9.98    spl2737_3134),
% 59.09/9.98    inference(avatar_split_clause,[],[f44999,f84891])).
% 59.09/9.98  tff(f44999,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : vEBT_VEBT,X9 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1597(X0,X1)),X9)) | ~sP287(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31274])).
% 59.09/9.98  tff(f31274,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : ((! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1595(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1597(X0,X1)),X9)) & sK1599(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1596(X0,X1)),sK1598(X0,X1)) & sK1598(X0,X1) = aa(nat,nat,suc,sK1596(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1595(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1598(X0,X1)) & vEBT_invar_vebt(sK1597(X0,X1),sK1598(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1596(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1595(X0,X1))))) & sK1599(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1599(X0,X1),sK1595(X0,X1),sK1597(X0,X1)) = X1) | ~sP287(X0,X1))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1595,sK1596,sK1597,sK1598,sK1599])],[f31272,f31273])).
% 59.09/9.98  tff(f31273,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) => (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1595(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1597(X0,X1)),X9)) & sK1599(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1596(X0,X1)),sK1598(X0,X1)) & sK1598(X0,X1) = aa(nat,nat,suc,sK1596(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1595(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1598(X0,X1)) & vEBT_invar_vebt(sK1597(X0,X1),sK1598(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1596(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1595(X0,X1))))) & sK1599(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1599(X0,X1),sK1595(X0,X1),sK1597(X0,X1)) = X1))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31272,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (! [X7 : vEBT_VEBT] : (! [X8 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7),X8)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X9)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X10),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(none(product_prod(nat,nat)),X6,X2,X4) = X1) | ~sP287(X0,X1))),
% 59.09/9.98    inference(rectify,[],[f31271])).
% 59.09/9.98  tff(f31271,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : list(vEBT_VEBT),X14 : nat,X15 : vEBT_VEBT,X16 : nat,X17 : nat] : (! [X20 : vEBT_VEBT] : (! [X21 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X20),X21)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X20),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13)))) & ! [X19 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X15),X19)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X14),X16) = X17 & aa(nat,nat,suc,X14) = X16 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X16) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13) & vEBT_invar_vebt(X15,X16) & ! [X18 : vEBT_VEBT] : (vEBT_invar_vebt(X18,X14) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X18),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13)))) & X1 = X17 & vEBT_Node(none(product_prod(nat,nat)),X17,X13,X15) = X0) | ~sP287(X1,X0))),
% 59.09/9.98    inference(nnf_transformation,[],[f27523])).
% 59.09/9.98  tff(f27523,plain,(
% 59.09/9.98    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : list(vEBT_VEBT),X14 : nat,X15 : vEBT_VEBT,X16 : nat,X17 : nat] : (! [X20 : vEBT_VEBT] : (! [X21 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X20),X21)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X20),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13)))) & ! [X19 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X15),X19)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X14),X16) = X17 & aa(nat,nat,suc,X14) = X16 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X16) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13) & vEBT_invar_vebt(X15,X16) & ! [X18 : vEBT_VEBT] : (vEBT_invar_vebt(X18,X14) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X18),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X13)))) & X1 = X17 & vEBT_Node(none(product_prod(nat,nat)),X17,X13,X15) = X0) | ~sP287(X1,X0))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP287])])).
% 59.09/9.98  tff(f84889,plain,(
% 59.09/9.98    spl2737_3133),
% 59.09/9.98    inference(avatar_split_clause,[],[f44810,f84887])).
% 59.09/9.98  tff(f84887,plain,(
% 59.09/9.98    spl2737_3133 <=> ! [X1 : $tType,X3 : $tType,X4 : fun(X1,bool),X0 : fun(X1,bool),X2 : fun(X1,X3)] : (~pp(aa(X1,bool,X0,sK1458(X1,X3,X0,X2,X4))) | ~sP257(X1,X3,X0,X2,X4))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3133])])).
% 59.09/9.98  tff(f44810,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X3 : $tType,X2 : fun(X1,X3),X0 : fun(X1,bool),X4 : fun(X1,bool)] : (~pp(aa(X1,bool,X0,sK1458(X1,X3,X0,X2,X4))) | ~sP257(X1,X3,X0,X2,X4)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31119])).
% 59.09/9.98  tff(f31119,plain,(
% 59.09/9.98    ! [X0 : fun(X1,bool),X1 : $tType,X2 : fun(X1,X3),X3 : $tType,X4 : fun(X1,bool)] : ((~pp(aa(X1,bool,X0,sK1458(X1,X3,X0,X2,X4))) & ! [X6 : X1] : (~pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(X1,X3,X2,sK1458(X1,X3,X0,X2,X4))),aa(X1,X3,X2,X6))) | ~pp(aa(X1,bool,X4,X6))) & pp(aa(X1,bool,X4,sK1458(X1,X3,X0,X2,X4)))) | ~sP257(X1,X3,X0,X2,X4))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1458])],[f31117,f31118])).
% 59.09/9.98  tff(f31118,plain,(
% 59.09/9.98    ! [X3 : $tType,X1 : $tType,X0 : fun(X1,bool),X2 : fun(X1,X3),X4 : fun(X1,bool)] : (? [X5 : X1] : (~pp(aa(X1,bool,X0,X5)) & ! [X6 : X1] : (~pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(X1,X3,X2,X5)),aa(X1,X3,X2,X6))) | ~pp(aa(X1,bool,X4,X6))) & pp(aa(X1,bool,X4,X5))) => (~pp(aa(X1,bool,X0,sK1458(X1,X3,X0,X2,X4))) & ! [X6 : X1] : (~pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(X1,X3,X2,sK1458(X1,X3,X0,X2,X4))),aa(X1,X3,X2,X6))) | ~pp(aa(X1,bool,X4,X6))) & pp(aa(X1,bool,X4,sK1458(X1,X3,X0,X2,X4)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31117,plain,(
% 59.09/9.98    ! [X0 : fun(X1,bool),X1 : $tType,X2 : fun(X1,X3),X3 : $tType,X4 : fun(X1,bool)] : (? [X5 : X1] : (~pp(aa(X1,bool,X0,X5)) & ! [X6 : X1] : (~pp(aa(X3,bool,aa(X3,fun(X3,bool),ord_less(X3),aa(X1,X3,X2,X5)),aa(X1,X3,X2,X6))) | ~pp(aa(X1,bool,X4,X6))) & pp(aa(X1,bool,X4,X5))) | ~sP257(X1,X3,X0,X2,X4))),
% 59.09/9.98    inference(rectify,[],[f31116])).
% 59.09/9.98  tff(f31116,plain,(
% 59.09/9.98    ! [X5 : fun(X1,bool),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X1,bool)] : (? [X7 : X1] : (~pp(aa(X1,bool,X5,X7)) & ! [X8 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X4,X7)),aa(X1,X0,X4,X8))) | ~pp(aa(X1,bool,X2,X8))) & pp(aa(X1,bool,X2,X7))) | ~sP257(X1,X0,X5,X4,X2))),
% 59.09/9.98    inference(nnf_transformation,[],[f27479])).
% 59.09/9.98  tff(f27479,plain,(
% 59.09/9.98    ! [X5 : fun(X1,bool),X1 : $tType,X4 : fun(X1,X0),X0 : $tType,X2 : fun(X1,bool)] : (? [X7 : X1] : (~pp(aa(X1,bool,X5,X7)) & ! [X8 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X4,X7)),aa(X1,X0,X4,X8))) | ~pp(aa(X1,bool,X2,X8))) & pp(aa(X1,bool,X2,X7))) | ~sP257(X1,X0,X5,X4,X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP257])])).
% 59.09/9.98  tff(f84885,plain,(
% 59.09/9.98    spl2737_3132),
% 59.09/9.98    inference(avatar_split_clause,[],[f44808,f84883])).
% 59.09/9.98  tff(f84883,plain,(
% 59.09/9.98    spl2737_3132 <=> ! [X1 : $tType,X3 : $tType,X4 : fun(X1,bool),X0 : fun(X1,bool),X2 : fun(X1,X3)] : (pp(aa(X1,bool,X4,sK1458(X1,X3,X0,X2,X4))) | ~sP257(X1,X3,X0,X2,X4))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3132])])).
% 59.09/9.98  tff(f44808,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X3 : $tType,X2 : fun(X1,X3),X0 : fun(X1,bool),X4 : fun(X1,bool)] : (pp(aa(X1,bool,X4,sK1458(X1,X3,X0,X2,X4))) | ~sP257(X1,X3,X0,X2,X4)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31119])).
% 59.09/9.98  tff(f84881,plain,(
% 59.09/9.98    spl2737_3131),
% 59.09/9.98    inference(avatar_split_clause,[],[f44649,f84879])).
% 59.09/9.98  tff(f84879,plain,(
% 59.09/9.98    spl2737_3131 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (sK1422(X1,X2,X0,X3) != sK1423(X1,X2,X0,X3) | ~sP253(X1,X2,X0,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3131])])).
% 59.09/9.98  tff(f44649,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : set(set(X1)),X0 : fun(X1,X2)] : (sK1422(X1,X2,X0,X3) != sK1423(X1,X2,X0,X3) | ~sP253(X1,X2,X0,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f31028])).
% 59.09/9.98  tff(f31028,plain,(
% 59.09/9.98    ! [X0 : fun(X1,X2),X1 : $tType,X2 : $tType,X3 : set(set(X1))] : (((sP252(X2,X1,X0,sK1423(X1,X2,X0,X3),sK1422(X1,X2,X0,X3)) & sK1422(X1,X2,X0,X3) != sK1423(X1,X2,X0,X3) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1423(X1,X2,X0,X3)),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1422(X1,X2,X0,X3)),X3))) | ~sP253(X1,X2,X0,X3))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1422,sK1423])],[f31025,f31027,f31026])).
% 59.09/9.98  tff(f31026,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (? [X4 : set(X1)] : (? [X5 : set(X1)] : (sP252(X2,X1,X0,X5,X4) & X4 != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X4),X3))) => (? [X5 : set(X1)] : (sP252(X2,X1,X0,X5,sK1422(X1,X2,X0,X3)) & sK1422(X1,X2,X0,X3) != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1422(X1,X2,X0,X3)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31027,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (? [X5 : set(X1)] : (sP252(X2,X1,X0,X5,sK1422(X1,X2,X0,X3)) & sK1422(X1,X2,X0,X3) != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) => (sP252(X2,X1,X0,sK1423(X1,X2,X0,X3),sK1422(X1,X2,X0,X3)) & sK1422(X1,X2,X0,X3) != sK1423(X1,X2,X0,X3) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1423(X1,X2,X0,X3)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f31025,plain,(
% 59.09/9.98    ! [X0 : fun(X1,X2),X1 : $tType,X2 : $tType,X3 : set(set(X1))] : (? [X4 : set(X1)] : (? [X5 : set(X1)] : (sP252(X2,X1,X0,X5,X4) & X4 != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X4),X3))) | ~sP253(X1,X2,X0,X3))),
% 59.09/9.98    inference(rectify,[],[f31024])).
% 59.09/9.98  tff(f31024,plain,(
% 59.09/9.98    ! [X3 : fun(X1,X0),X1 : $tType,X0 : $tType,X2 : set(set(X1))] : (? [X5 : set(X1)] : (? [X6 : set(X1)] : (sP252(X0,X1,X3,X6,X5) & X5 != X6 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X6),X2))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X2))) | ~sP253(X1,X0,X3,X2))),
% 59.09/9.98    inference(nnf_transformation,[],[f27471])).
% 59.09/9.98  tff(f27471,plain,(
% 59.09/9.98    ! [X3 : fun(X1,X0),X1 : $tType,X0 : $tType,X2 : set(set(X1))] : (? [X5 : set(X1)] : (? [X6 : set(X1)] : (sP252(X0,X1,X3,X6,X5) & X5 != X6 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X6),X2))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X2))) | ~sP253(X1,X0,X3,X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP253])])).
% 59.09/9.98  tff(f84877,plain,(
% 59.09/9.98    spl2737_3130),
% 59.09/9.98    inference(avatar_split_clause,[],[f44543,f84875])).
% 59.09/9.98  tff(f84875,plain,(
% 59.09/9.98    spl2737_3130 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (sK1391(X1,X2,X0,X3) != sK1392(X1,X2,X0,X3) | ~sP248(X1,X2,X0,X3))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3130])])).
% 59.09/9.98  tff(f44543,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X2 : $tType,X3 : set(set(X1)),X0 : fun(X1,X2)] : (sK1391(X1,X2,X0,X3) != sK1392(X1,X2,X0,X3) | ~sP248(X1,X2,X0,X3)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30953])).
% 59.09/9.98  tff(f30953,plain,(
% 59.09/9.98    ! [X0 : fun(X1,X2),X1 : $tType,X2 : $tType,X3 : set(set(X1))] : (((sP247(X2,X1,X0,sK1392(X1,X2,X0,X3),sK1391(X1,X2,X0,X3)) & sK1391(X1,X2,X0,X3) != sK1392(X1,X2,X0,X3) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1392(X1,X2,X0,X3)),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1391(X1,X2,X0,X3)),X3))) | ~sP248(X1,X2,X0,X3))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1391,sK1392])],[f30950,f30952,f30951])).
% 59.09/9.98  tff(f30951,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (? [X4 : set(X1)] : (? [X5 : set(X1)] : (sP247(X2,X1,X0,X5,X4) & X4 != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X4),X3))) => (? [X5 : set(X1)] : (sP247(X2,X1,X0,X5,sK1391(X1,X2,X0,X3)) & sK1391(X1,X2,X0,X3) != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1391(X1,X2,X0,X3)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30952,plain,(
% 59.09/9.98    ! [X2 : $tType,X1 : $tType,X0 : fun(X1,X2),X3 : set(set(X1))] : (? [X5 : set(X1)] : (sP247(X2,X1,X0,X5,sK1391(X1,X2,X0,X3)) & sK1391(X1,X2,X0,X3) != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) => (sP247(X2,X1,X0,sK1392(X1,X2,X0,X3),sK1391(X1,X2,X0,X3)) & sK1391(X1,X2,X0,X3) != sK1392(X1,X2,X0,X3) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),sK1392(X1,X2,X0,X3)),X3))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30950,plain,(
% 59.09/9.98    ! [X0 : fun(X1,X2),X1 : $tType,X2 : $tType,X3 : set(set(X1))] : (? [X4 : set(X1)] : (? [X5 : set(X1)] : (sP247(X2,X1,X0,X5,X4) & X4 != X5 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X3))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X4),X3))) | ~sP248(X1,X2,X0,X3))),
% 59.09/9.98    inference(rectify,[],[f30949])).
% 59.09/9.98  tff(f30949,plain,(
% 59.09/9.98    ! [X3 : fun(X1,X0),X1 : $tType,X0 : $tType,X2 : set(set(X1))] : (? [X5 : set(X1)] : (? [X6 : set(X1)] : (sP247(X0,X1,X3,X6,X5) & X5 != X6 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X6),X2))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X2))) | ~sP248(X1,X0,X3,X2))),
% 59.09/9.98    inference(nnf_transformation,[],[f27462])).
% 59.09/9.98  tff(f27462,plain,(
% 59.09/9.98    ! [X3 : fun(X1,X0),X1 : $tType,X0 : $tType,X2 : set(set(X1))] : (? [X5 : set(X1)] : (? [X6 : set(X1)] : (sP247(X0,X1,X3,X6,X5) & X5 != X6 & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X6),X2))) & pp(aa(set(set(X1)),bool,aa(set(X1),fun(set(set(X1)),bool),member(set(X1)),X5),X2))) | ~sP248(X1,X0,X3,X2))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP248])])).
% 59.09/9.98  tff(f84873,plain,(
% 59.09/9.98    spl2737_3129),
% 59.09/9.98    inference(avatar_split_clause,[],[f44346,f84871])).
% 59.09/9.98  tff(f84871,plain,(
% 59.09/9.98    spl2737_3129 <=> ! [X1 : $tType,X0 : $tType,X4 : filter(X1),X3 : X0,X2 : fun(X1,X0)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP244(X1,X0,X4,X2,X3) | ~sP245(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3129])])).
% 59.09/9.98  tff(f44346,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP244(X1,X0,X4,X2,X3) | ~sP245(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30848])).
% 59.09/9.98  tff(f30848,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : ((filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP244(X1,X0,X4,X2,X3)) & (sP244(X1,X0,X4,X2,X3) | ~filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4))) | ~sP245(X0,X1))),
% 59.09/9.98    inference(nnf_transformation,[],[f27457])).
% 59.09/9.98  tff(f27457,plain,(
% 59.09/9.98    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) <=> sP244(X1,X0,X4,X2,X3)) | ~sP245(X0,X1))),
% 59.09/9.98    introduced(predicate_definition_introduction,[new_symbols(naming,[sP245])])).
% 59.09/9.98  tff(f84869,plain,(
% 59.09/9.98    spl2737_3128),
% 59.09/9.98    inference(avatar_split_clause,[],[f44345,f84867])).
% 59.09/9.98  tff(f84867,plain,(
% 59.09/9.98    spl2737_3128 <=> ! [X1 : $tType,X0 : $tType,X4 : filter(X1),X3 : X0,X2 : fun(X1,X0)] : (sP244(X1,X0,X4,X2,X3) | ~filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP245(X0,X1))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3128])])).
% 59.09/9.98  tff(f44345,plain,(
% 59.09/9.98    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (sP244(X1,X0,X4,X2,X3) | ~filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) | ~sP245(X0,X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30848])).
% 59.09/9.98  tff(f84857,plain,(
% 59.09/9.98    spl2737_3127 | ~spl2737_3126),
% 59.09/9.98    inference(avatar_split_clause,[],[f84853,f84850,f84855])).
% 59.09/9.98  tff(f84850,plain,(
% 59.09/9.98    spl2737_3126 <=> ! [X0 : nat,X1 : int] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2584673776208193580ke_bit(int,X0,X1)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3126])])).
% 59.09/9.98  tff(f84853,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : int] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),bit_se2584673776208193580ke_bit(int,X0,X1)),zero_zero(int)))) ) | ~spl2737_3126),
% 59.09/9.98    inference(forward_demodulation,[],[f84851,f50171])).
% 59.09/9.98  tff(f84851,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2584673776208193580ke_bit(int,X0,X1)))) ) | ~spl2737_3126),
% 59.09/9.98    inference(avatar_component_clause,[],[f84850])).
% 59.09/9.98  tff(f84852,plain,(
% 59.09/9.98    spl2737_3126),
% 59.09/9.98    inference(avatar_split_clause,[],[f43576,f84850])).
% 59.09/9.98  tff(f43576,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2584673776208193580ke_bit(int,X0,X1)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14759])).
% 59.09/9.98  tff(f14759,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : int] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2584673776208193580ke_bit(int,X0,X1)))),
% 59.09/9.98    inference(rectify,[],[f2849])).
% 59.09/9.98  tff(f2849,axiom,(
% 59.09/9.98    ! [X8 : nat,X18 : int] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2584673776208193580ke_bit(int,X8,X18)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2848_take__bit__nonnegative)).
% 59.09/9.98  tff(f84848,plain,(
% 59.09/9.98    spl2737_3125),
% 59.09/9.98    inference(avatar_split_clause,[],[f43575,f84846])).
% 59.09/9.98  tff(f84846,plain,(
% 59.09/9.98    spl2737_3125 <=> ! [X0 : nat,X1 : nat] : set_ord_atMost(nat,X0) = aa(nat,set(nat),aTP_Lamp_abw(nat,fun(nat,set(nat)),X0),X1)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3125])])).
% 59.09/9.98  tff(f43575,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : nat] : (set_ord_atMost(nat,X0) = aa(nat,set(nat),aTP_Lamp_abw(nat,fun(nat,set(nat)),X0),X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14758])).
% 59.09/9.98  tff(f14758,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : set_ord_atMost(nat,X0) = aa(nat,set(nat),aTP_Lamp_abw(nat,fun(nat,set(nat)),X0),X1)),
% 59.09/9.98    inference(rectify,[],[f8494])).
% 59.09/9.98  tff(f8494,axiom,(
% 59.09/9.98    ! [X94 : nat,X353 : nat] : aa(nat,set(nat),aTP_Lamp_abw(nat,fun(nat,set(nat)),X94),X353) = set_ord_atMost(nat,X94)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8493_ATP_Olambda__378)).
% 59.09/9.98  tff(f84844,plain,(
% 59.09/9.98    spl2737_3124),
% 59.09/9.98    inference(avatar_split_clause,[],[f43574,f84842])).
% 59.09/9.98  tff(f84842,plain,(
% 59.09/9.98    spl2737_3124 <=> ! [X0 : nat,X1 : nat] : aa(nat,nat,aTP_Lamp_et(nat,fun(nat,nat),X0),X1) = aa(nat,nat,binomial(X1),X0)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3124])])).
% 59.09/9.98  tff(f43574,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aTP_Lamp_et(nat,fun(nat,nat),X0),X1) = aa(nat,nat,binomial(X1),X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14757])).
% 59.09/9.98  tff(f14757,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : aa(nat,nat,aTP_Lamp_et(nat,fun(nat,nat),X0),X1) = aa(nat,nat,binomial(X1),X0)),
% 59.09/9.98    inference(rectify,[],[f8340])).
% 59.09/9.98  tff(f8340,axiom,(
% 59.09/9.98    ! [X94 : nat,X353 : nat] : aa(nat,nat,aTP_Lamp_et(nat,fun(nat,nat),X94),X353) = aa(nat,nat,binomial(X353),X94)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8339_ATP_Olambda__224)).
% 59.09/9.98  tff(f84840,plain,(
% 59.09/9.98    spl2737_3123),
% 59.09/9.98    inference(avatar_split_clause,[],[f43573,f84838])).
% 59.09/9.98  tff(f84838,plain,(
% 59.09/9.98    spl2737_3123 <=> ! [X0 : real,X1 : nat] : aa(nat,real,aTP_Lamp_vs(real,fun(nat,real),X0),X1) = aa(real,real,root(X1),X0)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3123])])).
% 59.09/9.98  tff(f43573,plain,(
% 59.09/9.98    ( ! [X0 : real,X1 : nat] : (aa(nat,real,aTP_Lamp_vs(real,fun(nat,real),X0),X1) = aa(real,real,root(X1),X0)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14756])).
% 59.09/9.98  tff(f14756,plain,(
% 59.09/9.98    ! [X0 : real,X1 : nat] : aa(nat,real,aTP_Lamp_vs(real,fun(nat,real),X0),X1) = aa(real,real,root(X1),X0)),
% 59.09/9.98    inference(rectify,[],[f8343])).
% 59.09/9.98  tff(f8343,axiom,(
% 59.09/9.98    ! [X94 : real,X353 : nat] : aa(nat,real,aTP_Lamp_vs(real,fun(nat,real),X94),X353) = aa(real,real,root(X353),X94)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8342_ATP_Olambda__227)).
% 59.09/9.98  tff(f84836,plain,(
% 59.09/9.98    spl2737_3122),
% 59.09/9.98    inference(avatar_split_clause,[],[f43572,f84834])).
% 59.09/9.98  tff(f84834,plain,(
% 59.09/9.98    spl2737_3122 <=> ! [X0 : nat,X1 : nat] : aa(nat,rat,semiring_1_of_nat(rat),X0) = aa(nat,rat,aTP_Lamp_aam(nat,fun(nat,rat),X0),X1)),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3122])])).
% 59.09/9.98  tff(f43572,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : nat] : (aa(nat,rat,semiring_1_of_nat(rat),X0) = aa(nat,rat,aTP_Lamp_aam(nat,fun(nat,rat),X0),X1)) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14755])).
% 59.09/9.98  tff(f14755,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : nat] : aa(nat,rat,semiring_1_of_nat(rat),X0) = aa(nat,rat,aTP_Lamp_aam(nat,fun(nat,rat),X0),X1)),
% 59.09/9.98    inference(rectify,[],[f8495])).
% 59.09/9.98  tff(f8495,axiom,(
% 59.09/9.98    ! [X94 : nat,X353 : nat] : aa(nat,rat,aTP_Lamp_aam(nat,fun(nat,rat),X94),X353) = aa(nat,rat,semiring_1_of_nat(rat),X94)),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8494_ATP_Olambda__379)).
% 59.09/9.98  tff(f84829,plain,(
% 59.09/9.98    spl2737_3121 | ~spl2737_3120),
% 59.09/9.98    inference(avatar_split_clause,[],[f84825,f84822,f84827])).
% 59.09/9.98  tff(f84827,plain,(
% 59.09/9.98    spl2737_3121 <=> ! [X0 : nat,X1 : int] : ~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),bit_se2584673776208193580ke_bit(int,X0,X1)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3121])])).
% 59.09/9.98  tff(f84822,plain,(
% 59.09/9.98    spl2737_3120 <=> ! [X0 : nat,X1 : int] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2584673776208193580ke_bit(int,X0,X1)),zero_zero(int)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3120])])).
% 59.09/9.98  tff(f84825,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),bit_se2584673776208193580ke_bit(int,X0,X1)))) ) | ~spl2737_3120),
% 59.09/9.98    inference(forward_demodulation,[],[f84823,f50171])).
% 59.09/9.98  tff(f84823,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2584673776208193580ke_bit(int,X0,X1)),zero_zero(int)))) ) | ~spl2737_3120),
% 59.09/9.98    inference(avatar_component_clause,[],[f84822])).
% 59.09/9.98  tff(f84824,plain,(
% 59.09/9.98    spl2737_3120),
% 59.09/9.98    inference(avatar_split_clause,[],[f43569,f84822])).
% 59.09/9.98  tff(f43569,plain,(
% 59.09/9.98    ( ! [X0 : nat,X1 : int] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2584673776208193580ke_bit(int,X0,X1)),zero_zero(int)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f14752])).
% 59.09/9.98  tff(f14752,plain,(
% 59.09/9.98    ! [X0 : nat,X1 : int] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2584673776208193580ke_bit(int,X0,X1)),zero_zero(int)))),
% 59.09/9.98    inference(rectify,[],[f2851])).
% 59.09/9.98  tff(f2851,axiom,(
% 59.09/9.98    ! [X8 : nat,X18 : int] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2584673776208193580ke_bit(int,X8,X18)),zero_zero(int)))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2850_not__take__bit__negative)).
% 59.09/9.98  tff(f84814,plain,(
% 59.09/9.98    spl2737_3119 | ~spl2737_3118),
% 59.09/9.98    inference(avatar_split_clause,[],[f84810,f84807,f84812])).
% 59.09/9.98  tff(f84807,plain,(
% 59.09/9.98    spl2737_3118 <=> ! [X0 : real] : pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1312(X0)),field_char_0_Rats(real)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3118])])).
% 59.09/9.98  tff(f84810,plain,(
% 59.09/9.98    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,set(real),bool,member(real),field_char_0_Rats(real)),sK1312(X0)))) ) | ~spl2737_3118),
% 59.09/9.98    inference(forward_demodulation,[],[f84808,f50171])).
% 59.09/9.98  tff(f84808,plain,(
% 59.09/9.98    ( ! [X0 : real] : (pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1312(X0)),field_char_0_Rats(real)))) ) | ~spl2737_3118),
% 59.09/9.98    inference(avatar_component_clause,[],[f84807])).
% 59.09/9.98  tff(f84809,plain,(
% 59.09/9.98    spl2737_3118),
% 59.09/9.98    inference(avatar_split_clause,[],[f43501,f84807])).
% 59.09/9.98  tff(f43501,plain,(
% 59.09/9.98    ( ! [X0 : real] : (pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1312(X0)),field_char_0_Rats(real)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30743])).
% 59.09/9.98  tff(f30743,plain,(
% 59.09/9.98    ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1312(X0)),X0)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1312(X0)),field_char_0_Rats(real))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1312])],[f14696,f30742])).
% 59.09/9.98  tff(f30742,plain,(
% 59.09/9.98    ! [X0 : real] : (? [X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),X0)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),X1),field_char_0_Rats(real)))) => (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1312(X0)),X0)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1312(X0)),field_char_0_Rats(real)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f14696,plain,(
% 59.09/9.98    ! [X0 : real] : ? [X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),X0)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),X1),field_char_0_Rats(real))))),
% 59.09/9.98    inference(rectify,[],[f5344])).
% 59.09/9.98  tff(f5344,axiom,(
% 59.09/9.98    ! [X14 : real] : ? [X20 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X20),X14)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),X20),field_char_0_Rats(real))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5343_Rats__no__bot__less)).
% 59.09/9.98  tff(f84799,plain,(
% 59.09/9.98    spl2737_3117 | ~spl2737_3116),
% 59.09/9.98    inference(avatar_split_clause,[],[f84795,f84792,f84797])).
% 59.09/9.98  tff(f84792,plain,(
% 59.09/9.98    spl2737_3116 <=> ! [X0 : real] : pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1311(X0)),field_char_0_Rats(real)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3116])])).
% 59.09/9.98  tff(f84795,plain,(
% 59.09/9.98    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,set(real),bool,member(real),field_char_0_Rats(real)),sK1311(X0)))) ) | ~spl2737_3116),
% 59.09/9.98    inference(forward_demodulation,[],[f84793,f50171])).
% 59.09/9.98  tff(f84793,plain,(
% 59.09/9.98    ( ! [X0 : real] : (pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1311(X0)),field_char_0_Rats(real)))) ) | ~spl2737_3116),
% 59.09/9.98    inference(avatar_component_clause,[],[f84792])).
% 59.09/9.98  tff(f84794,plain,(
% 59.09/9.98    spl2737_3116),
% 59.09/9.98    inference(avatar_split_clause,[],[f43499,f84792])).
% 59.09/9.98  tff(f43499,plain,(
% 59.09/9.98    ( ! [X0 : real] : (pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1311(X0)),field_char_0_Rats(real)))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30741])).
% 59.09/9.98  tff(f30741,plain,(
% 59.09/9.98    ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),sK1311(X0))) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1311(X0)),field_char_0_Rats(real))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1311])],[f14695,f30740])).
% 59.09/9.98  tff(f30740,plain,(
% 59.09/9.98    ! [X0 : real] : (? [X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),X1),field_char_0_Rats(real)))) => (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),sK1311(X0))) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),sK1311(X0)),field_char_0_Rats(real)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f14695,plain,(
% 59.09/9.98    ! [X0 : real] : ? [X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),X1),field_char_0_Rats(real))))),
% 59.09/9.98    inference(rectify,[],[f5342])).
% 59.09/9.98  tff(f5342,axiom,(
% 59.09/9.98    ! [X14 : real] : ? [X20 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X14),X20)) & pp(aa(set(real),bool,aa(real,fun(set(real),bool),member(real),X20),field_char_0_Rats(real))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5341_Rats__no__top__le)).
% 59.09/9.98  tff(f84790,plain,(
% 59.09/9.98    spl2737_3115),
% 59.09/9.98    inference(avatar_split_clause,[],[f43483,f84788])).
% 59.09/9.98  tff(f84788,plain,(
% 59.09/9.98    spl2737_3115 <=> ! [X4 : nat,X0 : fun(nat,bool)] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1298(X0)))) | ~pp(aa(nat,bool,X0,X4)))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3115])])).
% 59.09/9.98  tff(f43483,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,bool),X4 : nat] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1298(X0)))) | ~pp(aa(nat,bool,X0,X4))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30724])).
% 59.09/9.98  tff(f30724,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : ((pp(aa(nat,bool,X0,sK1297(X0))) | ! [X2 : int] : (~pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))) & ((pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1298(X0)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK1298(X0)))) | ! [X4 : nat] : ~pp(aa(nat,bool,X0,X4))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1297,sK1298])],[f30721,f30723,f30722])).
% 59.09/9.98  tff(f30722,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : pp(aa(nat,bool,X0,X1)) => pp(aa(nat,bool,X0,sK1297(X0))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30723,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X3 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X3))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))) => (pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1298(X0)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK1298(X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30721,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : ((? [X1 : nat] : pp(aa(nat,bool,X0,X1)) | ! [X2 : int] : (~pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))) & (? [X3 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X3))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))) | ! [X4 : nat] : ~pp(aa(nat,bool,X0,X4))))),
% 59.09/9.98    inference(rectify,[],[f30720])).
% 59.09/9.98  tff(f30720,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : ((? [X1 : nat] : pp(aa(nat,bool,X0,X1)) | ! [X2 : int] : (~pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))) & (? [X2 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))) | ! [X1 : nat] : ~pp(aa(nat,bool,X0,X1))))),
% 59.09/9.98    inference(nnf_transformation,[],[f14685])).
% 59.09/9.98  tff(f14685,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : pp(aa(nat,bool,X0,X1)) <=> ? [X2 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))))),
% 59.09/9.98    inference(rectify,[],[f697])).
% 59.09/9.98  tff(f697,axiom,(
% 59.09/9.98    ! [X17 : fun(nat,bool)] : (? [X114 : nat] : pp(aa(nat,bool,X17,X114)) <=> ? [X115 : int] : (pp(aa(nat,bool,X17,aa(int,nat,nat2,X115))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X115))))),
% 59.09/9.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_696_ex__nat)).
% 59.09/9.98  tff(f84786,plain,(
% 59.09/9.98    spl2737_3114),
% 59.09/9.98    inference(avatar_split_clause,[],[f43481,f84784])).
% 59.09/9.98  tff(f84784,plain,(
% 59.09/9.98    spl2737_3114 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1295(X0)))))),
% 59.09/9.98    introduced(avatar_definition,[new_symbols(naming,[spl2737_3114])])).
% 59.09/9.98  tff(f43481,plain,(
% 59.09/9.98    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1295(X0))))) )),
% 59.09/9.98    inference(cnf_transformation,[],[f30719])).
% 59.09/9.98  tff(f30719,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : ((! [X1 : nat] : pp(aa(nat,bool,X0,X1)) | (~pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1295(X0)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK1295(X0))))) & (! [X3 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))) | ~pp(aa(nat,bool,X0,sK1296(X0)))))),
% 59.09/9.98    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1295,sK1296])],[f30716,f30718,f30717])).
% 59.09/9.98  tff(f30717,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X2 : int] : (~pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))) => (~pp(aa(nat,bool,X0,aa(int,nat,nat2,sK1295(X0)))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),sK1295(X0)))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30718,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : (? [X4 : nat] : ~pp(aa(nat,bool,X0,X4)) => ~pp(aa(nat,bool,X0,sK1296(X0))))),
% 59.09/9.98    introduced(choice_axiom,[])).
% 59.09/9.98  tff(f30716,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : ((! [X1 : nat] : pp(aa(nat,bool,X0,X1)) | ? [X2 : int] : (~pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))) & (! [X3 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X3))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))) | ? [X4 : nat] : ~pp(aa(nat,bool,X0,X4))))),
% 59.09/9.98    inference(rectify,[],[f30715])).
% 59.09/9.98  tff(f30715,plain,(
% 59.09/9.98    ! [X0 : fun(nat,bool)] : ((! [X1 : nat] : pp(aa(nat,bool,X0,X1)) | ? [X2 : int] : (~pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))) & (! [X2 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))) | ? [X1 : nat] : ~pp(aa(nat,bool,X0,X1))))),
% 59.09/9.98    inference(nnf_transformation,[],[f23730])).
% 59.09/9.99  tff(f23730,plain,(
% 59.09/9.99    ! [X0 : fun(nat,bool)] : (! [X1 : nat] : pp(aa(nat,bool,X0,X1)) <=> ! [X2 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X2))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))))),
% 59.09/9.99    inference(ennf_transformation,[],[f14684])).
% 59.09/9.99  tff(f14684,plain,(
% 59.09/9.99    ! [X0 : fun(nat,bool)] : (! [X1 : nat] : pp(aa(nat,bool,X0,X1)) <=> ! [X2 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)) => pp(aa(nat,bool,X0,aa(int,nat,nat2,X2)))))),
% 59.09/9.99    inference(rectify,[],[f696])).
% 59.09/9.99  tff(f696,axiom,(
% 59.09/9.99    ! [X17 : fun(nat,bool)] : (! [X114 : nat] : pp(aa(nat,bool,X17,X114)) <=> ! [X115 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X115)) => pp(aa(nat,bool,X17,aa(int,nat,nat2,X115)))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_695_all__nat)).
% 59.09/9.99  tff(f84782,plain,(
% 59.09/9.99    spl2737_3113),
% 59.09/9.99    inference(avatar_split_clause,[],[f43394,f84780])).
% 59.09/9.99  tff(f84780,plain,(
% 59.09/9.99    spl2737_3113 <=> ! [X0 : fun(nat,bool)] : (eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X0),at_top(nat)) | ~eventually(nat,X0,at_top(nat)))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3113])])).
% 59.09/9.99  tff(f43394,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,bool)] : (eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X0),at_top(nat)) | ~eventually(nat,X0,at_top(nat))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30663])).
% 59.09/9.99  tff(f30663,plain,(
% 59.09/9.99    ! [X0 : fun(nat,bool)] : ((eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X0),at_top(nat)) | ~eventually(nat,X0,at_top(nat))) & (eventually(nat,X0,at_top(nat)) | ~eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X0),at_top(nat))))),
% 59.09/9.99    inference(nnf_transformation,[],[f14643])).
% 59.09/9.99  tff(f14643,plain,(
% 59.09/9.99    ! [X0 : fun(nat,bool)] : (eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X0),at_top(nat)) <=> eventually(nat,X0,at_top(nat)))),
% 59.09/9.99    inference(rectify,[],[f5990])).
% 59.09/9.99  tff(f5990,axiom,(
% 59.09/9.99    ! [X17 : fun(nat,bool)] : (eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X17),at_top(nat)) <=> eventually(nat,X17,at_top(nat)))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5989_eventually__sequentially__Suc)).
% 59.09/9.99  tff(f84778,plain,(
% 59.09/9.99    spl2737_3112),
% 59.09/9.99    inference(avatar_split_clause,[],[f43393,f84776])).
% 59.09/9.99  tff(f84776,plain,(
% 59.09/9.99    spl2737_3112 <=> ! [X0 : fun(nat,bool)] : (eventually(nat,X0,at_top(nat)) | ~eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X0),at_top(nat)))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3112])])).
% 59.09/9.99  tff(f43393,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,bool)] : (eventually(nat,X0,at_top(nat)) | ~eventually(nat,aTP_Lamp_wr(fun(nat,bool),fun(nat,bool),X0),at_top(nat))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30663])).
% 59.09/9.99  tff(f84754,plain,(
% 59.09/9.99    spl2737_3111 | ~spl2737_3110),
% 59.09/9.99    inference(avatar_split_clause,[],[f84750,f84747,f84752])).
% 59.09/9.99  tff(f84752,plain,(
% 59.09/9.99    spl2737_3111 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1255(X0,X2)),X2)) | cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3111])])).
% 59.09/9.99  tff(f84747,plain,(
% 59.09/9.99    spl2737_3110 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1255(X0,X2))))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3110])])).
% 59.09/9.99  tff(f84750,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1255(X0,X2)),X2)) | cauchy(X0)) ) | ~spl2737_3110),
% 59.09/9.99    inference(forward_demodulation,[],[f84748,f50171])).
% 59.09/9.99  tff(f84748,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1255(X0,X2)))) ) | ~spl2737_3110),
% 59.09/9.99    inference(avatar_component_clause,[],[f84747])).
% 59.09/9.99  tff(f84749,plain,(
% 59.09/9.99    spl2737_3110),
% 59.09/9.99    inference(avatar_split_clause,[],[f43280,f84747])).
% 59.09/9.99  tff(f43280,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1255(X0,X2)))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30550])).
% 59.09/9.99  tff(f30550,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : ((cauchy(X0) | (! [X2 : nat] : ((~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1254(X0,X2))),aa(nat,rat,X0,sK1255(X0,X2))))),sK1253(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1255(X0,X2)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1254(X0,X2)))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1253(X0))))) & (! [X5 : rat] : (! [X7 : nat] : (! [X8 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X7)),aa(nat,rat,X0,X8)))),X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1256(X0,X5)),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1256(X0,X5)),X7))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X5))) | ~cauchy(X0)))),
% 59.09/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1253,sK1254,sK1255,sK1256])],[f30545,f30549,f30548,f30547,f30546])).
% 59.09/9.99  tff(f30546,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) => (! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),sK1253(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1253(X0)))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30547,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat),X2 : nat] : (? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),sK1253(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) => (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1254(X0,X2))),aa(nat,rat,X0,X4)))),sK1253(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1254(X0,X2)))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30548,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat),X2 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1254(X0,X2))),aa(nat,rat,X0,X4)))),sK1253(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) => (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1254(X0,X2))),aa(nat,rat,X0,sK1255(X0,X2))))),sK1253(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1255(X0,X2)))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30549,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat),X5 : rat] : (? [X6 : nat] : ! [X7 : nat] : (! [X8 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X7)),aa(nat,rat,X0,X8)))),X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X7))) => ! [X7 : nat] : (! [X8 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X7)),aa(nat,rat,X0,X8)))),X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1256(X0,X5)),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1256(X0,X5)),X7))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30545,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : ((cauchy(X0) | ? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)))) & (! [X5 : rat] : (? [X6 : nat] : ! [X7 : nat] : (! [X8 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X7)),aa(nat,rat,X0,X8)))),X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X8))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X6),X7))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X5))) | ~cauchy(X0)))),
% 59.09/9.99    inference(rectify,[],[f30544])).
% 59.09/9.99  tff(f30544,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : ((cauchy(X0) | ? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)))) & (! [X1 : rat] : (? [X2 : nat] : ! [X3 : nat] : (! [X4 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) | ~cauchy(X0)))),
% 59.09/9.99    inference(nnf_transformation,[],[f23724])).
% 59.09/9.99  tff(f23724,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (cauchy(X0) <=> ! [X1 : rat] : (? [X2 : nat] : ! [X3 : nat] : (! [X4 : nat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))))),
% 59.09/9.99    inference(ennf_transformation,[],[f14597])).
% 59.09/9.99  tff(f14597,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (cauchy(X0) <=> ! [X1 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)) => ? [X2 : nat] : ! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)) => ! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1))))))),
% 59.09/9.99    inference(rectify,[],[f6394])).
% 59.09/9.99  tff(f6394,axiom,(
% 59.09/9.99    ! [X148 : fun(nat,rat)] : (cauchy(X148) <=> ! [X205 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X205)) => ? [X56 : nat] : ! [X36 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X56),X36)) => ! [X62 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X56),X62)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X148,X36)),aa(nat,rat,X148,X62)))),X205))))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6393_cauchy__def)).
% 59.09/9.99  tff(f84725,plain,(
% 59.09/9.99    spl2737_3109 | ~spl2737_3108),
% 59.09/9.99    inference(avatar_split_clause,[],[f84721,f84718,f84723])).
% 59.09/9.99  tff(f84723,plain,(
% 59.09/9.99    spl2737_3109 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1254(X0,X2)),X2)) | cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3109])])).
% 59.09/9.99  tff(f84718,plain,(
% 59.09/9.99    spl2737_3108 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1254(X0,X2))))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3108])])).
% 59.09/9.99  tff(f84721,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1254(X0,X2)),X2)) | cauchy(X0)) ) | ~spl2737_3108),
% 59.09/9.99    inference(forward_demodulation,[],[f84719,f50171])).
% 59.09/9.99  tff(f84719,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1254(X0,X2)))) ) | ~spl2737_3108),
% 59.09/9.99    inference(avatar_component_clause,[],[f84718])).
% 59.09/9.99  tff(f84720,plain,(
% 59.09/9.99    spl2737_3108),
% 59.09/9.99    inference(avatar_split_clause,[],[f43279,f84718])).
% 59.09/9.99  tff(f43279,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1254(X0,X2)))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30550])).
% 59.09/9.99  tff(f84708,plain,(
% 59.09/9.99    spl2737_3107 | ~spl2737_3106),
% 59.09/9.99    inference(avatar_split_clause,[],[f84704,f84701,f84706])).
% 59.09/9.99  tff(f84706,plain,(
% 59.09/9.99    spl2737_3107 <=> ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1253(X0)),zero_zero(rat))) | cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3107])])).
% 59.09/9.99  tff(f84701,plain,(
% 59.09/9.99    spl2737_3106 <=> ! [X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1253(X0))))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3106])])).
% 59.09/9.99  tff(f84704,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1253(X0)),zero_zero(rat))) | cauchy(X0)) ) | ~spl2737_3106),
% 59.09/9.99    inference(forward_demodulation,[],[f84702,f50171])).
% 59.09/9.99  tff(f84702,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1253(X0)))) ) | ~spl2737_3106),
% 59.09/9.99    inference(avatar_component_clause,[],[f84701])).
% 59.09/9.99  tff(f84703,plain,(
% 59.09/9.99    spl2737_3106),
% 59.09/9.99    inference(avatar_split_clause,[],[f43278,f84701])).
% 59.09/9.99  tff(f43278,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1253(X0)))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30550])).
% 59.09/9.99  tff(f84679,plain,(
% 59.09/9.99    spl2737_3105 | ~spl2737_3104),
% 59.09/9.99    inference(avatar_split_clause,[],[f84675,f84672,f84677])).
% 59.09/9.99  tff(f84677,plain,(
% 59.09/9.99    spl2737_3105 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1163(X0,X2)),X2)) | cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3105])])).
% 59.09/9.99  tff(f84672,plain,(
% 59.09/9.99    spl2737_3104 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1163(X0,X2))))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3104])])).
% 59.09/9.99  tff(f84675,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1163(X0,X2)),X2)) | cauchy(X0)) ) | ~spl2737_3104),
% 59.09/9.99    inference(forward_demodulation,[],[f84673,f50171])).
% 59.09/9.99  tff(f84673,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1163(X0,X2)))) ) | ~spl2737_3104),
% 59.09/9.99    inference(avatar_component_clause,[],[f84672])).
% 59.09/9.99  tff(f84674,plain,(
% 59.09/9.99    spl2737_3104),
% 59.09/9.99    inference(avatar_split_clause,[],[f43255,f84672])).
% 59.09/9.99  tff(f43255,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1163(X0,X2)))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30496])).
% 59.09/9.99  tff(f30496,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (cauchy(X0) | (! [X2 : nat] : ((~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1162(X0,X2))),aa(nat,rat,X0,sK1163(X0,X2))))),sK1161(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1163(X0,X2)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1162(X0,X2)))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1161(X0)))))),
% 59.09/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1161,sK1162,sK1163])],[f23706,f30495,f30494,f30493])).
% 59.09/9.99  tff(f30493,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) => (! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),sK1161(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1161(X0)))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30494,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat),X2 : nat] : (? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),sK1161(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) => (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1162(X0,X2))),aa(nat,rat,X0,X4)))),sK1161(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1162(X0,X2)))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30495,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat),X2 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1162(X0,X2))),aa(nat,rat,X0,X4)))),sK1161(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) => (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,sK1162(X0,X2))),aa(nat,rat,X0,sK1163(X0,X2))))),sK1161(X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1163(X0,X2)))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f23706,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (cauchy(X0) | ? [X1 : rat] : (! [X2 : nat] : ? [X3 : nat] : (? [X4 : nat] : (~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))))),
% 59.09/9.99    inference(ennf_transformation,[],[f14586])).
% 59.09/9.99  tff(f14586,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (! [X1 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1)) => ? [X2 : nat] : ! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)) => ! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X4)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X0,X3)),aa(nat,rat,X0,X4)))),X1))))) => cauchy(X0))),
% 59.09/9.99    inference(rectify,[],[f6395])).
% 59.09/9.99  tff(f6395,axiom,(
% 59.09/9.99    ! [X148 : fun(nat,rat)] : (! [X144 : rat] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X144)) => ? [X129 : nat] : ! [X16 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X129),X16)) => ! [X19 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X129),X19)) => pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(rat,rat,aa(rat,fun(rat,rat),minus_minus(rat),aa(nat,rat,X148,X16)),aa(nat,rat,X148,X19)))),X144))))) => cauchy(X148))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6394_cauchyI)).
% 59.09/9.99  tff(f84650,plain,(
% 59.09/9.99    spl2737_3103 | ~spl2737_3102),
% 59.09/9.99    inference(avatar_split_clause,[],[f84646,f84643,f84648])).
% 59.09/9.99  tff(f84648,plain,(
% 59.09/9.99    spl2737_3103 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1162(X0,X2)),X2)) | cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3103])])).
% 59.09/9.99  tff(f84643,plain,(
% 59.09/9.99    spl2737_3102 <=> ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1162(X0,X2))))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3102])])).
% 59.09/9.99  tff(f84646,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),sK1162(X0,X2)),X2)) | cauchy(X0)) ) | ~spl2737_3102),
% 59.09/9.99    inference(forward_demodulation,[],[f84644,f50171])).
% 59.09/9.99  tff(f84644,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1162(X0,X2)))) ) | ~spl2737_3102),
% 59.09/9.99    inference(avatar_component_clause,[],[f84643])).
% 59.09/9.99  tff(f84645,plain,(
% 59.09/9.99    spl2737_3102),
% 59.09/9.99    inference(avatar_split_clause,[],[f43254,f84643])).
% 59.09/9.99  tff(f43254,plain,(
% 59.09/9.99    ( ! [X2 : nat,X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),sK1162(X0,X2)))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30496])).
% 59.09/9.99  tff(f84633,plain,(
% 59.09/9.99    spl2737_3101 | ~spl2737_3100),
% 59.09/9.99    inference(avatar_split_clause,[],[f84629,f84626,f84631])).
% 59.09/9.99  tff(f84631,plain,(
% 59.09/9.99    spl2737_3101 <=> ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1161(X0)),zero_zero(rat))) | cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3101])])).
% 59.09/9.99  tff(f84626,plain,(
% 59.09/9.99    spl2737_3100 <=> ! [X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1161(X0))))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3100])])).
% 59.09/9.99  tff(f84629,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK1161(X0)),zero_zero(rat))) | cauchy(X0)) ) | ~spl2737_3100),
% 59.09/9.99    inference(forward_demodulation,[],[f84627,f50171])).
% 59.09/9.99  tff(f84627,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1161(X0)))) ) | ~spl2737_3100),
% 59.09/9.99    inference(avatar_component_clause,[],[f84626])).
% 59.09/9.99  tff(f84628,plain,(
% 59.09/9.99    spl2737_3100),
% 59.09/9.99    inference(avatar_split_clause,[],[f43253,f84626])).
% 59.09/9.99  tff(f43253,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (cauchy(X0) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK1161(X0)))) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30496])).
% 59.09/9.99  tff(f84624,plain,(
% 59.09/9.99    spl2737_3099),
% 59.09/9.99    inference(avatar_split_clause,[],[f42336,f84622])).
% 59.09/9.99  tff(f84622,plain,(
% 59.09/9.99    spl2737_3099 <=> ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP225(X2,X1,X0) | sP226(X2,X1,X0) | nil(X2) = X0 | ~sP227(X2,X0,X1))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3099])])).
% 59.09/9.99  tff(f42336,plain,(
% 59.09/9.99    ( ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP225(X2,X1,X0) | sP226(X2,X1,X0) | nil(X2) = X0 | ~sP227(X2,X0,X1)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30103])).
% 59.09/9.99  tff(f30103,plain,(
% 59.09/9.99    ! [X0 : list(X2),X1 : list(X2),X2 : $tType] : ((sP227(X2,X0,X1) | (~sP225(X2,X1,X0) & ~sP226(X2,X1,X0) & ! [X3 : X2,X4 : list(X2)] : (cons(X2,X3,X4) != X1 | nil(X2) != X0))) & (sP225(X2,X1,X0) | sP226(X2,X1,X0) | (cons(X2,sK990(X2,X0,X1),sK991(X2,X0,X1)) = X1 & nil(X2) = X0) | ~sP227(X2,X0,X1)))),
% 59.09/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK990,sK991])],[f30101,f30102])).
% 59.09/9.99  tff(f30102,plain,(
% 59.09/9.99    ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (? [X5 : X2,X6 : list(X2)] : (cons(X2,X5,X6) = X1 & nil(X2) = X0) => (cons(X2,sK990(X2,X0,X1),sK991(X2,X0,X1)) = X1 & nil(X2) = X0))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30101,plain,(
% 59.09/9.99    ! [X0 : list(X2),X1 : list(X2),X2 : $tType] : ((sP227(X2,X0,X1) | (~sP225(X2,X1,X0) & ~sP226(X2,X1,X0) & ! [X3 : X2,X4 : list(X2)] : (cons(X2,X3,X4) != X1 | nil(X2) != X0))) & (sP225(X2,X1,X0) | sP226(X2,X1,X0) | ? [X5 : X2,X6 : list(X2)] : (cons(X2,X5,X6) = X1 & nil(X2) = X0) | ~sP227(X2,X0,X1)))),
% 59.09/9.99    inference(rectify,[],[f30100])).
% 59.09/9.99  tff(f30100,plain,(
% 59.09/9.99    ! [X1 : list(X0),X2 : list(X0),X0 : $tType] : ((sP227(X0,X1,X2) | (~sP225(X0,X2,X1) & ~sP226(X0,X2,X1) & ! [X11 : X0,X12 : list(X0)] : (cons(X0,X11,X12) != X2 | nil(X0) != X1))) & (sP225(X0,X2,X1) | sP226(X0,X2,X1) | ? [X11 : X0,X12 : list(X0)] : (cons(X0,X11,X12) = X2 & nil(X0) = X1) | ~sP227(X0,X1,X2)))),
% 59.09/9.99    inference(flattening,[],[f30099])).
% 59.09/9.99  tff(f30099,plain,(
% 59.09/9.99    ! [X1 : list(X0),X2 : list(X0),X0 : $tType] : ((sP227(X0,X1,X2) | (~sP225(X0,X2,X1) & ~sP226(X0,X2,X1) & ! [X11 : X0,X12 : list(X0)] : (cons(X0,X11,X12) != X2 | nil(X0) != X1))) & ((sP225(X0,X2,X1) | sP226(X0,X2,X1) | ? [X11 : X0,X12 : list(X0)] : (cons(X0,X11,X12) = X2 & nil(X0) = X1)) | ~sP227(X0,X1,X2)))),
% 59.09/9.99    inference(nnf_transformation,[],[f27428])).
% 59.09/9.99  tff(f27428,plain,(
% 59.09/9.99    ! [X1 : list(X0),X2 : list(X0),X0 : $tType] : (sP227(X0,X1,X2) <=> (sP225(X0,X2,X1) | sP226(X0,X2,X1) | ? [X11 : X0,X12 : list(X0)] : (cons(X0,X11,X12) = X2 & nil(X0) = X1)))),
% 59.09/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP227])])).
% 59.09/9.99  tff(f84620,plain,(
% 59.09/9.99    spl2737_3098),
% 59.09/9.99    inference(avatar_split_clause,[],[f42316,f84618])).
% 59.09/9.99  tff(f84618,plain,(
% 59.09/9.99    spl2737_3098 <=> ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP221(X2,X1,X0) | sP222(X2,X1,X0) | nil(X2) = X0 | ~sP223(X2,X0,X1))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3098])])).
% 59.09/9.99  tff(f42316,plain,(
% 59.09/9.99    ( ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP221(X2,X1,X0) | sP222(X2,X1,X0) | nil(X2) = X0 | ~sP223(X2,X0,X1)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f30088])).
% 59.09/9.99  tff(f30088,plain,(
% 59.09/9.99    ! [X0 : list(X2),X1 : list(X2),X2 : $tType] : ((sP223(X2,X0,X1) | (~sP221(X2,X1,X0) & ~sP222(X2,X1,X0) & ! [X3 : list(X2)] : (X1 != X3 | nil(X2) != X0))) & (sP221(X2,X1,X0) | sP222(X2,X1,X0) | (sK981(X2,X0,X1) = X1 & nil(X2) = X0) | ~sP223(X2,X0,X1)))),
% 59.09/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK981])],[f30086,f30087])).
% 59.09/9.99  tff(f30087,plain,(
% 59.09/9.99    ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (? [X4 : list(X2)] : (X1 = X4 & nil(X2) = X0) => (sK981(X2,X0,X1) = X1 & nil(X2) = X0))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f30086,plain,(
% 59.09/9.99    ! [X0 : list(X2),X1 : list(X2),X2 : $tType] : ((sP223(X2,X0,X1) | (~sP221(X2,X1,X0) & ~sP222(X2,X1,X0) & ! [X3 : list(X2)] : (X1 != X3 | nil(X2) != X0))) & (sP221(X2,X1,X0) | sP222(X2,X1,X0) | ? [X4 : list(X2)] : (X1 = X4 & nil(X2) = X0) | ~sP223(X2,X0,X1)))),
% 59.09/9.99    inference(rectify,[],[f30085])).
% 59.09/9.99  tff(f30085,plain,(
% 59.09/9.99    ! [X1 : list(X0),X2 : list(X0),X0 : $tType] : ((sP223(X0,X1,X2) | (~sP221(X0,X2,X1) & ~sP222(X0,X2,X1) & ! [X11 : list(X0)] : (X2 != X11 | nil(X0) != X1))) & (sP221(X0,X2,X1) | sP222(X0,X2,X1) | ? [X11 : list(X0)] : (X2 = X11 & nil(X0) = X1) | ~sP223(X0,X1,X2)))),
% 59.09/9.99    inference(flattening,[],[f30084])).
% 59.09/9.99  tff(f30084,plain,(
% 59.09/9.99    ! [X1 : list(X0),X2 : list(X0),X0 : $tType] : ((sP223(X0,X1,X2) | (~sP221(X0,X2,X1) & ~sP222(X0,X2,X1) & ! [X11 : list(X0)] : (X2 != X11 | nil(X0) != X1))) & ((sP221(X0,X2,X1) | sP222(X0,X2,X1) | ? [X11 : list(X0)] : (X2 = X11 & nil(X0) = X1)) | ~sP223(X0,X1,X2)))),
% 59.09/9.99    inference(nnf_transformation,[],[f27423])).
% 59.09/9.99  tff(f27423,plain,(
% 59.09/9.99    ! [X1 : list(X0),X2 : list(X0),X0 : $tType] : (sP223(X0,X1,X2) <=> (sP221(X0,X2,X1) | sP222(X0,X2,X1) | ? [X11 : list(X0)] : (X2 = X11 & nil(X0) = X1)))),
% 59.09/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP223])])).
% 59.09/9.99  tff(f84616,plain,(
% 59.09/9.99    spl2737_3097),
% 59.09/9.99    inference(avatar_split_clause,[],[f42288,f84614])).
% 59.09/9.99  tff(f84614,plain,(
% 59.09/9.99    spl2737_3097 <=> ! [X0 : $tType,X1 : X0] : (set_ord_greaterThan(X0,X1) = collect(X0,aa(X0,fun(X0,bool),ord_less(X0),X1)) | ~ord(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3097])])).
% 59.09/9.99  tff(f42288,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (set_ord_greaterThan(X0,X1) = collect(X0,aa(X0,fun(X0,bool),ord_less(X0),X1)) | ~ord(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f22575])).
% 59.09/9.99  tff(f22575,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : set_ord_greaterThan(X0,X1) = collect(X0,aa(X0,fun(X0,bool),ord_less(X0),X1)) | ~ord(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13935])).
% 59.09/9.99  tff(f13935,plain,(
% 59.09/9.99    ! [X0 : $tType] : (ord(X0) => ! [X1 : X0] : set_ord_greaterThan(X0,X1) = collect(X0,aa(X0,fun(X0,bool),ord_less(X0),X1)))),
% 59.09/9.99    inference(rectify,[],[f6076])).
% 59.09/9.99  tff(f6076,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (ord(X0) => ! [X51 : X0] : set_ord_greaterThan(X0,X51) = collect(X0,aa(X0,fun(X0,bool),ord_less(X0),X51)))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6075_greaterThan__def)).
% 59.09/9.99  tff(f84612,plain,(
% 59.09/9.99    spl2737_3096),
% 59.09/9.99    inference(avatar_split_clause,[],[f41920,f84610])).
% 59.09/9.99  tff(f84610,plain,(
% 59.09/9.99    spl2737_3096 <=> ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less_eq(X0),sK885(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ~linorder(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3096])])).
% 59.09/9.99  tff(f41920,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less_eq(X0),sK885(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ~linorder(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f29804])).
% 59.09/9.99  tff(f29804,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : ((! [X3 : list(X0)] : (sK885(X0,X1) = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,sK885(X0,X1)) & sorted_wrt(X0,ord_less_eq(X0),sK885(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK885(X0,X1)) = X1) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) | ~linorder(X0))),
% 59.09/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK885])],[f22339,f29803])).
% 59.09/9.99  tff(f29803,plain,(
% 59.09/9.99    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (! [X3 : list(X0)] : (X2 = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) => (! [X3 : list(X0)] : (sK885(X0,X1) = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,sK885(X0,X1)) & sorted_wrt(X0,ord_less_eq(X0),sK885(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK885(X0,X1)) = X1))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f22339,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : (! [X3 : list(X0)] : (X2 = X3 | ~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) | ~linorder(X0))),
% 59.09/9.99    inference(flattening,[],[f22338])).
% 59.09/9.99  tff(f22338,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : (! [X3 : list(X0)] : (X2 = X3 | (~distinct(X0,X3) | ~sorted_wrt(X0,ord_less_eq(X0),X3) | aa(list(X0),set(X0),set2(X0),X3) != X1)) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) | ~linorder(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13753])).
% 59.09/9.99  tff(f13753,plain,(
% 59.09/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) => ? [X2 : list(X0)] : (! [X3 : list(X0)] : ((distinct(X0,X3) & sorted_wrt(X0,ord_less_eq(X0),X3) & aa(list(X0),set(X0),set2(X0),X3) = X1) => X2 = X3) & distinct(X0,X2) & sorted_wrt(X0,ord_less_eq(X0),X2) & aa(list(X0),set(X0),set2(X0),X2) = X1)))),
% 59.09/9.99    inference(rectify,[],[f5274])).
% 59.09/9.99  tff(f5274,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X30 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X30)) => ? [X20 : list(X0)] : (! [X37 : list(X0)] : ((distinct(X0,X37) & sorted_wrt(X0,ord_less_eq(X0),X37) & aa(list(X0),set(X0),set2(X0),X37) = X30) => X20 = X37) & distinct(X0,X20) & sorted_wrt(X0,ord_less_eq(X0),X20) & aa(list(X0),set(X0),set2(X0),X20) = X30)))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5273_finite__sorted__distinct__unique)).
% 59.09/9.99  tff(f84608,plain,(
% 59.09/9.99    spl2737_3095),
% 59.09/9.99    inference(avatar_split_clause,[],[f41916,f84606])).
% 59.09/9.99  tff(f84606,plain,(
% 59.09/9.99    spl2737_3095 <=> ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),sK884(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ~linorder(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3095])])).
% 59.09/9.99  tff(f41916,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),sK884(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ~linorder(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f29802])).
% 59.09/9.99  tff(f29802,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : ((aa(set(X0),nat,finite_card(X0),X1) = aa(list(X0),nat,size_size(list(X0)),sK884(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK884(X0,X1)) = X1 & sorted_wrt(X0,ord_less(X0),sK884(X0,X1))) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) | ~linorder(X0))),
% 59.09/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK884])],[f22337,f29801])).
% 59.09/9.99  tff(f29801,plain,(
% 59.09/9.99    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X2) = aa(set(X0),nat,finite_card(X0),X1) & aa(list(X0),set(X0),set2(X0),X2) = X1 & sorted_wrt(X0,ord_less(X0),X2)) => (aa(set(X0),nat,finite_card(X0),X1) = aa(list(X0),nat,size_size(list(X0)),sK884(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK884(X0,X1)) = X1 & sorted_wrt(X0,ord_less(X0),sK884(X0,X1))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f22337,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : (aa(list(X0),nat,size_size(list(X0)),X2) = aa(set(X0),nat,finite_card(X0),X1) & aa(list(X0),set(X0),set2(X0),X2) = X1 & sorted_wrt(X0,ord_less(X0),X2)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) | ~linorder(X0))),
% 59.09/9.99    inference(flattening,[],[f22336])).
% 59.09/9.99  tff(f22336,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : (? [X2 : list(X0)] : ((aa(list(X0),nat,size_size(list(X0)),X2) = aa(set(X0),nat,finite_card(X0),X1) & aa(list(X0),set(X0),set2(X0),X2) = X1) & sorted_wrt(X0,ord_less(X0),X2)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) | ~linorder(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13752])).
% 59.09/9.99  tff(f13752,plain,(
% 59.09/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) => ~! [X2 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X2) => (aa(list(X0),set(X0),set2(X0),X2) = X1 => aa(list(X0),nat,size_size(list(X0)),X2) != aa(set(X0),nat,finite_card(X0),X1)))))),
% 59.09/9.99    inference(rectify,[],[f5278])).
% 59.09/9.99  tff(f5278,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X30 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X30)) => ~! [X150 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X150) => (aa(list(X0),set(X0),set2(X0),X150) = X30 => aa(set(X0),nat,finite_card(X0),X30) != aa(list(X0),nat,size_size(list(X0)),X150)))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5277_sorted__list__of__set_Ofinite__set__strict__sorted)).
% 59.09/9.99  tff(f84594,plain,(
% 59.09/9.99    spl2737_3094 | ~spl2737_3093),
% 59.09/9.99    inference(avatar_split_clause,[],[f84590,f84587,f84592])).
% 59.09/9.99  tff(f84592,plain,(
% 59.09/9.99    spl2737_3094 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3094])])).
% 59.09/9.99  tff(f84587,plain,(
% 59.09/9.99    spl2737_3093 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3093])])).
% 59.09/9.99  tff(f84590,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0)) ) | ~spl2737_3093),
% 59.09/9.99    inference(forward_demodulation,[],[f84588,f50171])).
% 59.09/9.99  tff(f84588,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0)) ) | ~spl2737_3093),
% 59.09/9.99    inference(avatar_component_clause,[],[f84587])).
% 59.09/9.99  tff(f84589,plain,(
% 59.09/9.99    spl2737_3093),
% 59.09/9.99    inference(avatar_split_clause,[],[f41733,f84587])).
% 59.09/9.99  tff(f41733,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f22173])).
% 59.09/9.99  tff(f22173,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13611])).
% 59.09/9.99  tff(f13611,plain,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1)),
% 59.09/9.99    inference(rectify,[],[f104])).
% 59.09/9.99  tff(f104,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X7) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_add__0)).
% 59.09/9.99  tff(f84575,plain,(
% 59.09/9.99    spl2737_3092 | ~spl2737_3091),
% 59.09/9.99    inference(avatar_split_clause,[],[f84571,f84568,f84573])).
% 59.09/9.99  tff(f84573,plain,(
% 59.09/9.99    spl2737_3092 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3092])])).
% 59.09/9.99  tff(f84568,plain,(
% 59.09/9.99    spl2737_3091 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3091])])).
% 59.09/9.99  tff(f84571,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~monoid_add(X0)) ) | ~spl2737_3091),
% 59.09/9.99    inference(forward_demodulation,[],[f84569,f50171])).
% 59.09/9.99  tff(f84569,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0)) ) | ~spl2737_3091),
% 59.09/9.99    inference(avatar_component_clause,[],[f84568])).
% 59.09/9.99  tff(f84570,plain,(
% 59.09/9.99    spl2737_3091),
% 59.09/9.99    inference(avatar_split_clause,[],[f41732,f84568])).
% 59.09/9.99  tff(f41732,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f22172])).
% 59.09/9.99  tff(f22172,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~monoid_add(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13610])).
% 59.09/9.99  tff(f13610,plain,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1)),
% 59.09/9.99    inference(rectify,[],[f96])).
% 59.09/9.99  tff(f96,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7),zero_zero(X0)) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_add_Oright__neutral)).
% 59.09/9.99  tff(f84557,plain,(
% 59.09/9.99    spl2737_3090 | ~spl2737_3089),
% 59.09/9.99    inference(avatar_split_clause,[],[f84553,f84550,f84555])).
% 59.09/9.99  tff(f84555,plain,(
% 59.09/9.99    spl2737_3090 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3090])])).
% 59.09/9.99  tff(f84550,plain,(
% 59.09/9.99    spl2737_3089 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3089])])).
% 59.09/9.99  tff(f84553,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0)) ) | ~spl2737_3089),
% 59.09/9.99    inference(forward_demodulation,[],[f84551,f50171])).
% 59.09/9.99  tff(f84551,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0)) ) | ~spl2737_3089),
% 59.09/9.99    inference(avatar_component_clause,[],[f84550])).
% 59.09/9.99  tff(f84552,plain,(
% 59.09/9.99    spl2737_3089),
% 59.09/9.99    inference(avatar_split_clause,[],[f41637,f84550])).
% 59.09/9.99  tff(f41637,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f22078])).
% 59.09/9.99  tff(f22078,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13524])).
% 59.09/9.99  tff(f13524,plain,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1)),
% 59.09/9.99    inference(rectify,[],[f185])).
% 59.09/9.99  tff(f185,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X7) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_comm__monoid__add__class_Oadd__0)).
% 59.09/9.99  tff(f84539,plain,(
% 59.09/9.99    spl2737_3088 | ~spl2737_3087),
% 59.09/9.99    inference(avatar_split_clause,[],[f84535,f84532,f84537])).
% 59.09/9.99  tff(f84537,plain,(
% 59.09/9.99    spl2737_3088 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3088])])).
% 59.09/9.99  tff(f84532,plain,(
% 59.09/9.99    spl2737_3087 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3087])])).
% 59.09/9.99  tff(f84535,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~comm_monoid_add(X0)) ) | ~spl2737_3087),
% 59.09/9.99    inference(forward_demodulation,[],[f84533,f50171])).
% 59.09/9.99  tff(f84533,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0)) ) | ~spl2737_3087),
% 59.09/9.99    inference(avatar_component_clause,[],[f84532])).
% 59.09/9.99  tff(f84534,plain,(
% 59.09/9.99    spl2737_3087),
% 59.09/9.99    inference(avatar_split_clause,[],[f41636,f84532])).
% 59.09/9.99  tff(f41636,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f22077])).
% 59.09/9.99  tff(f22077,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~comm_monoid_add(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13523])).
% 59.09/9.99  tff(f13523,plain,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1)),
% 59.09/9.99    inference(rectify,[],[f186])).
% 59.09/9.99  tff(f186,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7),zero_zero(X0)) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_add_Ocomm__neutral)).
% 59.09/9.99  tff(f84520,plain,(
% 59.09/9.99    spl2737_3086 | ~spl2737_3085),
% 59.09/9.99    inference(avatar_split_clause,[],[f84516,f84513,f84518])).
% 59.09/9.99  tff(f84518,plain,(
% 59.09/9.99    spl2737_3086 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3086])])).
% 59.09/9.99  tff(f84513,plain,(
% 59.09/9.99    spl2737_3085 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3085])])).
% 59.09/9.99  tff(f84516,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0)) ) | ~spl2737_3085),
% 59.09/9.99    inference(forward_demodulation,[],[f84514,f50171])).
% 59.09/9.99  tff(f84514,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0)) ) | ~spl2737_3085),
% 59.09/9.99    inference(avatar_component_clause,[],[f84513])).
% 59.09/9.99  tff(f84515,plain,(
% 59.09/9.99    spl2737_3085),
% 59.09/9.99    inference(avatar_split_clause,[],[f41551,f84513])).
% 59.09/9.99  tff(f41551,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21996])).
% 59.09/9.99  tff(f21996,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13448])).
% 59.09/9.99  tff(f13448,plain,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1)),
% 59.09/9.99    inference(rectify,[],[f1046])).
% 59.09/9.99  tff(f1046,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X7) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1045_comm__monoid__mult__class_Omult__1)).
% 59.09/9.99  tff(f84501,plain,(
% 59.09/9.99    spl2737_3084 | ~spl2737_3083),
% 59.09/9.99    inference(avatar_split_clause,[],[f84497,f84494,f84499])).
% 59.09/9.99  tff(f84499,plain,(
% 59.09/9.99    spl2737_3084 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3084])])).
% 59.09/9.99  tff(f84494,plain,(
% 59.09/9.99    spl2737_3083 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3083])])).
% 59.09/9.99  tff(f84497,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),one_one(X0)),X1) = X1 | ~comm_monoid_mult(X0)) ) | ~spl2737_3083),
% 59.09/9.99    inference(forward_demodulation,[],[f84495,f50171])).
% 59.09/9.99  tff(f84495,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0)) ) | ~spl2737_3083),
% 59.09/9.99    inference(avatar_component_clause,[],[f84494])).
% 59.09/9.99  tff(f84496,plain,(
% 59.09/9.99    spl2737_3083),
% 59.09/9.99    inference(avatar_split_clause,[],[f41550,f84494])).
% 59.09/9.99  tff(f41550,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21995])).
% 59.09/9.99  tff(f21995,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~comm_monoid_mult(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13447])).
% 59.09/9.99  tff(f13447,plain,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1)),
% 59.09/9.99    inference(rectify,[],[f1045])).
% 59.09/9.99  tff(f1045,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),one_one(X0)) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1044_mult_Ocomm__neutral)).
% 59.09/9.99  tff(f84492,plain,(
% 59.09/9.99    spl2737_3082),
% 59.09/9.99    inference(avatar_split_clause,[],[f41505,f84490])).
% 59.09/9.99  tff(f84490,plain,(
% 59.09/9.99    spl2737_3082 <=> ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = semiri8178284476397505188at_aux(X0,aTP_Lamp_hc(X0,X0),X1,zero_zero(X0)) | ~semiring_1(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3082])])).
% 59.09/9.99  tff(f41505,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = semiri8178284476397505188at_aux(X0,aTP_Lamp_hc(X0,X0),X1,zero_zero(X0)) | ~semiring_1(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21953])).
% 59.09/9.99  tff(f21953,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = semiri8178284476397505188at_aux(X0,aTP_Lamp_hc(X0,X0),X1,zero_zero(X0)) | ~semiring_1(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13413])).
% 59.09/9.99  tff(f13413,plain,(
% 59.09/9.99    ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = semiri8178284476397505188at_aux(X0,aTP_Lamp_hc(X0,X0),X1,zero_zero(X0)))),
% 59.09/9.99    inference(rectify,[],[f4016])).
% 59.09/9.99  tff(f4016,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (semiring_1(X0) => ! [X8 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X8) = semiri8178284476397505188at_aux(X0,aTP_Lamp_hc(X0,X0),X8,zero_zero(X0)))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4015_of__nat__code)).
% 59.09/9.99  tff(f84478,plain,(
% 59.09/9.99    spl2737_3081 | ~spl2737_3080),
% 59.09/9.99    inference(avatar_split_clause,[],[f84474,f84471,f84476])).
% 59.09/9.99  tff(f84476,plain,(
% 59.09/9.99    spl2737_3081 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3081])])).
% 59.09/9.99  tff(f84471,plain,(
% 59.09/9.99    spl2737_3080 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3080])])).
% 59.09/9.99  tff(f84474,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0)) ) | ~spl2737_3080),
% 59.09/9.99    inference(forward_demodulation,[],[f84472,f50171])).
% 59.09/9.99  tff(f84472,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0)) ) | ~spl2737_3080),
% 59.09/9.99    inference(avatar_component_clause,[],[f84471])).
% 59.09/9.99  tff(f84473,plain,(
% 59.09/9.99    spl2737_3080),
% 59.09/9.99    inference(avatar_split_clause,[],[f41403,f84471])).
% 59.09/9.99  tff(f41403,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21872])).
% 59.09/9.99  tff(f21872,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13346])).
% 59.09/9.99  tff(f13346,plain,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X1) = X1)),
% 59.09/9.99    inference(rectify,[],[f943])).
% 59.09/9.99  tff(f943,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_mult(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),one_one(X0)),X7) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_942_mult__1)).
% 59.09/9.99  tff(f84459,plain,(
% 59.09/9.99    spl2737_3079 | ~spl2737_3078),
% 59.09/9.99    inference(avatar_split_clause,[],[f84455,f84452,f84457])).
% 59.09/9.99  tff(f84457,plain,(
% 59.09/9.99    spl2737_3079 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3079])])).
% 59.09/9.99  tff(f84452,plain,(
% 59.09/9.99    spl2737_3078 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3078])])).
% 59.09/9.99  tff(f84455,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,times_times(X0),one_one(X0)),X1) = X1 | ~monoid_mult(X0)) ) | ~spl2737_3078),
% 59.09/9.99    inference(forward_demodulation,[],[f84453,f50171])).
% 59.09/9.99  tff(f84453,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0)) ) | ~spl2737_3078),
% 59.09/9.99    inference(avatar_component_clause,[],[f84452])).
% 59.09/9.99  tff(f84454,plain,(
% 59.09/9.99    spl2737_3078),
% 59.09/9.99    inference(avatar_split_clause,[],[f41402,f84452])).
% 59.09/9.99  tff(f41402,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21871])).
% 59.09/9.99  tff(f21871,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13345])).
% 59.09/9.99  tff(f13345,plain,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),one_one(X0)) = X1)),
% 59.09/9.99    inference(rectify,[],[f944])).
% 59.09/9.99  tff(f944,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_mult(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),one_one(X0)) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_943_mult_Oright__neutral)).
% 59.09/9.99  tff(f84450,plain,(
% 59.09/9.99    spl2737_3077),
% 59.09/9.99    inference(avatar_split_clause,[],[f41401,f84448])).
% 59.09/9.99  tff(f84448,plain,(
% 59.09/9.99    spl2737_3077 <=> ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),one_one(nat)) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3077])])).
% 59.09/9.99  tff(f41401,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),one_one(nat)) = X1 | ~monoid_mult(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21870])).
% 59.09/9.99  tff(f21870,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),one_one(nat)) = X1 | ~monoid_mult(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13344])).
% 59.09/9.99  tff(f13344,plain,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),one_one(nat)) = X1)),
% 59.09/9.99    inference(rectify,[],[f1432])).
% 59.09/9.99  tff(f1432,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_mult(X0) => ! [X7 : X0] : aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X7),one_one(nat)) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1431_power__one__right)).
% 59.09/9.99  tff(f84446,plain,(
% 59.09/9.99    spl2737_3076),
% 59.09/9.99    inference(avatar_split_clause,[],[f41399,f84444])).
% 59.09/9.99  tff(f84444,plain,(
% 59.09/9.99    spl2737_3076 <=> ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ag(X0,X0) | ~monoid_mult(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3076])])).
% 59.09/9.99  tff(f41399,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ag(X0,X0) | ~monoid_mult(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21868])).
% 59.09/9.99  tff(f21868,plain,(
% 59.09/9.99    ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ag(X0,X0) | ~monoid_mult(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f3533])).
% 59.09/9.99  tff(f3533,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (monoid_mult(X0) => aa(X0,fun(X0,X0),times_times(X0),one_one(X0)) = aTP_Lamp_ag(X0,X0))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3532_lambda__one)).
% 59.09/9.99  tff(f84434,plain,(
% 59.09/9.99    spl2737_3075 | ~spl2737_3074),
% 59.09/9.99    inference(avatar_split_clause,[],[f84430,f84427,f84432])).
% 59.09/9.99  tff(f84432,plain,(
% 59.09/9.99    spl2737_3075 <=> ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK855(X0)),zero_zero(rat))) | ~cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3075])])).
% 59.09/9.99  tff(f84427,plain,(
% 59.09/9.99    spl2737_3074 <=> ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK855(X0))) | ~cauchy(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3074])])).
% 59.09/9.99  tff(f84430,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,combc(rat,rat,bool,ord_less(rat),sK855(X0)),zero_zero(rat))) | ~cauchy(X0)) ) | ~spl2737_3074),
% 59.09/9.99    inference(forward_demodulation,[],[f84428,f50171])).
% 59.09/9.99  tff(f84428,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK855(X0))) | ~cauchy(X0)) ) | ~spl2737_3074),
% 59.09/9.99    inference(avatar_component_clause,[],[f84427])).
% 59.09/9.99  tff(f84429,plain,(
% 59.09/9.99    spl2737_3074),
% 59.09/9.99    inference(avatar_split_clause,[],[f41394,f84427])).
% 59.09/9.99  tff(f41394,plain,(
% 59.09/9.99    ( ! [X0 : fun(nat,rat)] : (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK855(X0))) | ~cauchy(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f29723])).
% 59.09/9.99  tff(f29723,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : ((! [X2 : nat] : pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X2))),sK855(X0))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK855(X0)))) | ~cauchy(X0))),
% 59.09/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK855])],[f21864,f29722])).
% 59.09/9.99  tff(f29722,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (? [X1 : rat] : (! [X2 : nat] : pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X2))),X1)) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) => (! [X2 : nat] : pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X2))),sK855(X0))) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),sK855(X0)))))),
% 59.09/9.99    introduced(choice_axiom,[])).
% 59.09/9.99  tff(f21864,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (? [X1 : rat] : (! [X2 : nat] : pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X2))),X1)) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))) | ~cauchy(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13342])).
% 59.09/9.99  tff(f13342,plain,(
% 59.09/9.99    ! [X0 : fun(nat,rat)] : (cauchy(X0) => ? [X1 : rat] : (! [X2 : nat] : pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X0,X2))),X1)) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X1))))),
% 59.09/9.99    inference(rectify,[],[f6402])).
% 59.09/9.99  tff(f6402,axiom,(
% 59.09/9.99    ! [X148 : fun(nat,rat)] : (cauchy(X148) => ? [X59 : rat] : (! [X44 : nat] : pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),aa(rat,rat,abs_abs(rat),aa(nat,rat,X148,X44))),X59)) & pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X59))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6401_cauchy__imp__bounded)).
% 59.09/9.99  tff(f84425,plain,(
% 59.09/9.99    spl2737_3073),
% 59.09/9.99    inference(avatar_split_clause,[],[f41348,f84423])).
% 59.09/9.99  tff(f84423,plain,(
% 59.09/9.99    spl2737_3073 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP198(X0,X1,X2) | ~sP199(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3073])])).
% 59.09/9.99  tff(f41348,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP198(X0,X1,X2) | ~sP199(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f29694])).
% 59.09/9.99  tff(f29694,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : bool] : ((pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP198(X0,X1,X2)) & (sP198(X0,X1,X2) | ~pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))))) | ~sP199(X0))),
% 59.09/9.99    inference(nnf_transformation,[],[f27387])).
% 59.09/9.99  tff(f27387,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : bool] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) <=> sP198(X0,X1,X2)) | ~sP199(X0))),
% 59.09/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP199])])).
% 59.09/9.99  tff(f84421,plain,(
% 59.09/9.99    spl2737_3072),
% 59.09/9.99    inference(avatar_split_clause,[],[f41347,f84419])).
% 59.09/9.99  tff(f84419,plain,(
% 59.09/9.99    spl2737_3072 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP199(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3072])])).
% 59.09/9.99  tff(f41347,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP199(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f29694])).
% 59.09/9.99  tff(f84417,plain,(
% 59.09/9.99    spl2737_3071),
% 59.09/9.99    inference(avatar_split_clause,[],[f41339,f84415])).
% 59.09/9.99  tff(f84415,plain,(
% 59.09/9.99    spl2737_3071 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP196(X0,X1,X2) | ~sP197(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3071])])).
% 59.09/9.99  tff(f41339,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP196(X0,X1,X2) | ~sP197(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f29691])).
% 59.09/9.99  tff(f29691,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : bool] : ((pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP196(X0,X1,X2)) & (sP196(X0,X1,X2) | ~pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))))) | ~sP197(X0))),
% 59.09/9.99    inference(nnf_transformation,[],[f27384])).
% 59.09/9.99  tff(f27384,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : bool] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) <=> sP196(X0,X1,X2)) | ~sP197(X0))),
% 59.09/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP197])])).
% 59.09/9.99  tff(f84413,plain,(
% 59.09/9.99    spl2737_3070),
% 59.09/9.99    inference(avatar_split_clause,[],[f41338,f84411])).
% 59.09/9.99  tff(f84411,plain,(
% 59.09/9.99    spl2737_3070 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP197(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3070])])).
% 59.09/9.99  tff(f41338,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) | ~sP197(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f29691])).
% 59.09/9.99  tff(f84409,plain,(
% 59.09/9.99    spl2737_3069),
% 59.09/9.99    inference(avatar_split_clause,[],[f41300,f84407])).
% 59.09/9.99  tff(f84407,plain,(
% 59.09/9.99    spl2737_3069 <=> ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_ac(X0,X0) | ~mult_zero(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3069])])).
% 59.09/9.99  tff(f41300,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_ac(X0,X0) | ~mult_zero(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21801])).
% 59.09/9.99  tff(f21801,plain,(
% 59.09/9.99    ! [X0 : $tType] : (aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_ac(X0,X0) | ~mult_zero(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f3522])).
% 59.09/9.99  tff(f3522,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (mult_zero(X0) => aa(X0,fun(X0,X0),times_times(X0),zero_zero(X0)) = aTP_Lamp_ac(X0,X0))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3521_lambda__zero)).
% 59.09/9.99  tff(f84390,plain,(
% 59.09/9.99    spl2737_3068 | ~spl2737_3067),
% 59.09/9.99    inference(avatar_split_clause,[],[f84386,f84383,f84388])).
% 59.09/9.99  tff(f84388,plain,(
% 59.09/9.99    spl2737_3068 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3068])])).
% 59.09/9.99  tff(f84383,plain,(
% 59.09/9.99    spl2737_3067 <=> ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3067])])).
% 59.09/9.99  tff(f84386,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3067),
% 59.09/9.99    inference(forward_demodulation,[],[f84384,f50171])).
% 59.09/9.99  tff(f84384,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3067),
% 59.09/9.99    inference(avatar_component_clause,[],[f84383])).
% 59.09/9.99  tff(f84385,plain,(
% 59.09/9.99    spl2737_3067),
% 59.09/9.99    inference(avatar_split_clause,[],[f41240,f84383])).
% 59.09/9.99  tff(f41240,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21752])).
% 59.09/9.99  tff(f21752,plain,(
% 59.09/9.99    ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f407])).
% 59.09/9.99  tff(f407,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_406_less__numeral__extra_I1_J)).
% 59.09/9.99  tff(f84369,plain,(
% 59.09/9.99    spl2737_3066 | ~spl2737_3065),
% 59.09/9.99    inference(avatar_split_clause,[],[f84365,f84362,f84367])).
% 59.09/9.99  tff(f84367,plain,(
% 59.09/9.99    spl2737_3066 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3066])])).
% 59.09/9.99  tff(f84362,plain,(
% 59.09/9.99    spl2737_3065 <=> ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3065])])).
% 59.09/9.99  tff(f84365,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3065),
% 59.09/9.99    inference(forward_demodulation,[],[f84363,f50171])).
% 59.09/9.99  tff(f84363,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3065),
% 59.09/9.99    inference(avatar_component_clause,[],[f84362])).
% 59.09/9.99  tff(f84364,plain,(
% 59.09/9.99    spl2737_3065),
% 59.09/9.99    inference(avatar_split_clause,[],[f41239,f84362])).
% 59.09/9.99  tff(f41239,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21751])).
% 59.09/9.99  tff(f21751,plain,(
% 59.09/9.99    ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f569])).
% 59.09/9.99  tff(f569,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),zero_zero(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_568_le__numeral__extra_I3_J)).
% 59.09/9.99  tff(f84345,plain,(
% 59.09/9.99    spl2737_3064 | ~spl2737_3063),
% 59.09/9.99    inference(avatar_split_clause,[],[f84341,f84338,f84343])).
% 59.09/9.99  tff(f84343,plain,(
% 59.09/9.99    spl2737_3064 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3064])])).
% 59.09/9.99  tff(f84338,plain,(
% 59.09/9.99    spl2737_3063 <=> ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3063])])).
% 59.09/9.99  tff(f84341,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3063),
% 59.09/9.99    inference(forward_demodulation,[],[f84339,f50171])).
% 59.09/9.99  tff(f84339,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3063),
% 59.09/9.99    inference(avatar_component_clause,[],[f84338])).
% 59.09/9.99  tff(f84340,plain,(
% 59.09/9.99    spl2737_3063),
% 59.09/9.99    inference(avatar_split_clause,[],[f41238,f84338])).
% 59.09/9.99  tff(f41238,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21750])).
% 59.09/9.99  tff(f21750,plain,(
% 59.09/9.99    ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f642])).
% 59.09/9.99  tff(f642,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_641_linordered__nonzero__semiring__class_Ozero__le__one)).
% 59.09/9.99  tff(f84323,plain,(
% 59.09/9.99    spl2737_3062 | ~spl2737_3061),
% 59.09/9.99    inference(avatar_split_clause,[],[f84319,f84316,f84321])).
% 59.09/9.99  tff(f84321,plain,(
% 59.09/9.99    spl2737_3062 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3062])])).
% 59.09/9.99  tff(f84316,plain,(
% 59.09/9.99    spl2737_3061 <=> ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3061])])).
% 59.09/9.99  tff(f84319,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3061),
% 59.09/9.99    inference(forward_demodulation,[],[f84317,f50171])).
% 59.09/9.99  tff(f84317,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3061),
% 59.09/9.99    inference(avatar_component_clause,[],[f84316])).
% 59.09/9.99  tff(f84318,plain,(
% 59.09/9.99    spl2737_3061),
% 59.09/9.99    inference(avatar_split_clause,[],[f41237,f84316])).
% 59.09/9.99  tff(f41237,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21749])).
% 59.09/9.99  tff(f21749,plain,(
% 59.09/9.99    ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f571])).
% 59.09/9.99  tff(f571,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),one_one(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_570_le__numeral__extra_I4_J)).
% 59.09/9.99  tff(f84306,plain,(
% 59.09/9.99    spl2737_3060 | ~spl2737_3059),
% 59.09/9.99    inference(avatar_split_clause,[],[f84302,f84299,f84304])).
% 59.09/9.99  tff(f84304,plain,(
% 59.09/9.99    spl2737_3060 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3060])])).
% 59.09/9.99  tff(f84299,plain,(
% 59.09/9.99    spl2737_3059 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3059])])).
% 59.09/9.99  tff(f84302,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3059),
% 59.09/9.99    inference(forward_demodulation,[],[f84300,f50171])).
% 59.09/9.99  tff(f84300,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3059),
% 59.09/9.99    inference(avatar_component_clause,[],[f84299])).
% 59.09/9.99  tff(f84301,plain,(
% 59.09/9.99    spl2737_3059),
% 59.09/9.99    inference(avatar_split_clause,[],[f41236,f84299])).
% 59.09/9.99  tff(f41236,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21748])).
% 59.09/9.99  tff(f21748,plain,(
% 59.09/9.99    ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f85])).
% 59.09/9.99  tff(f85,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),zero_zero(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_less__numeral__extra_I3_J)).
% 59.09/9.99  tff(f84285,plain,(
% 59.09/9.99    spl2737_3058 | ~spl2737_3057),
% 59.09/9.99    inference(avatar_split_clause,[],[f84281,f84278,f84283])).
% 59.09/9.99  tff(f84283,plain,(
% 59.09/9.99    spl2737_3058 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3058])])).
% 59.09/9.99  tff(f84278,plain,(
% 59.09/9.99    spl2737_3057 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3057])])).
% 59.09/9.99  tff(f84281,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3057),
% 59.09/9.99    inference(forward_demodulation,[],[f84279,f50171])).
% 59.09/9.99  tff(f84279,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3057),
% 59.09/9.99    inference(avatar_component_clause,[],[f84278])).
% 59.09/9.99  tff(f84280,plain,(
% 59.09/9.99    spl2737_3057),
% 59.09/9.99    inference(avatar_split_clause,[],[f41235,f84278])).
% 59.09/9.99  tff(f41235,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21747])).
% 59.09/9.99  tff(f21747,plain,(
% 59.09/9.99    ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f405])).
% 59.09/9.99  tff(f405,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),zero_zero(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_404_not__one__less__zero)).
% 59.09/9.99  tff(f84266,plain,(
% 59.09/9.99    spl2737_3056 | ~spl2737_3055),
% 59.09/9.99    inference(avatar_split_clause,[],[f84262,f84259,f84264])).
% 59.09/9.99  tff(f84264,plain,(
% 59.09/9.99    spl2737_3056 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3056])])).
% 59.09/9.99  tff(f84259,plain,(
% 59.09/9.99    spl2737_3055 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3055])])).
% 59.09/9.99  tff(f84262,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3055),
% 59.09/9.99    inference(forward_demodulation,[],[f84260,f50171])).
% 59.09/9.99  tff(f84260,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3055),
% 59.09/9.99    inference(avatar_component_clause,[],[f84259])).
% 59.09/9.99  tff(f84261,plain,(
% 59.09/9.99    spl2737_3055),
% 59.09/9.99    inference(avatar_split_clause,[],[f41234,f84259])).
% 59.09/9.99  tff(f41234,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21746])).
% 59.09/9.99  tff(f21746,plain,(
% 59.09/9.99    ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f388])).
% 59.09/9.99  tff(f388,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),one_one(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_387_less__numeral__extra_I4_J)).
% 59.09/9.99  tff(f84245,plain,(
% 59.09/9.99    spl2737_3054 | ~spl2737_3053),
% 59.09/9.99    inference(avatar_split_clause,[],[f84241,f84238,f84243])).
% 59.09/9.99  tff(f84243,plain,(
% 59.09/9.99    spl2737_3054 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3054])])).
% 59.09/9.99  tff(f84238,plain,(
% 59.09/9.99    spl2737_3053 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3053])])).
% 59.09/9.99  tff(f84241,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3053),
% 59.09/9.99    inference(forward_demodulation,[],[f84239,f50171])).
% 59.09/9.99  tff(f84239,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) ) | ~spl2737_3053),
% 59.09/9.99    inference(avatar_component_clause,[],[f84238])).
% 59.09/9.99  tff(f84240,plain,(
% 59.09/9.99    spl2737_3053),
% 59.09/9.99    inference(avatar_split_clause,[],[f41233,f84238])).
% 59.09/9.99  tff(f41233,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21745])).
% 59.09/9.99  tff(f21745,plain,(
% 59.09/9.99    ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~linord181362715937106298miring(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f641])).
% 59.09/9.99  tff(f641,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (linord181362715937106298miring(X0) => ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),zero_zero(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_640_not__one__le__zero)).
% 59.09/9.99  tff(f84228,plain,(
% 59.09/9.99    spl2737_3052 | ~spl2737_3051),
% 59.09/9.99    inference(avatar_split_clause,[],[f84224,f84221,f84226])).
% 59.09/9.99  tff(f84226,plain,(
% 59.09/9.99    spl2737_3052 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3052])])).
% 59.09/9.99  tff(f84221,plain,(
% 59.09/9.99    spl2737_3051 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3051])])).
% 59.09/9.99  tff(f84224,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),zero_zero(X0)),X1) = X1 | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3051),
% 59.09/9.99    inference(forward_demodulation,[],[f84222,f50171])).
% 59.09/9.99  tff(f84222,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3051),
% 59.09/9.99    inference(avatar_component_clause,[],[f84221])).
% 59.09/9.99  tff(f84223,plain,(
% 59.09/9.99    spl2737_3051),
% 59.09/9.99    inference(avatar_split_clause,[],[f41139,f84221])).
% 59.09/9.99  tff(f41139,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21656])).
% 59.09/9.99  tff(f21656,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13185])).
% 59.09/9.99  tff(f13185,plain,(
% 59.09/9.99    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),zero_zero(X0)) = X1)),
% 59.09/9.99    inference(rectify,[],[f267])).
% 59.09/9.99  tff(f267,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7),zero_zero(X0)) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_verit__sum__simplify)).
% 59.09/9.99  tff(f84211,plain,(
% 59.09/9.99    spl2737_3050 | ~spl2737_3049),
% 59.09/9.99    inference(avatar_split_clause,[],[f84207,f84204,f84209])).
% 59.09/9.99  tff(f84209,plain,(
% 59.09/9.99    spl2737_3050 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),zero_zero(X0)),X1) = X1 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3050])])).
% 59.09/9.99  tff(f84204,plain,(
% 59.09/9.99    spl2737_3049 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3049])])).
% 59.09/9.99  tff(f84207,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),zero_zero(X0)),X1) = X1 | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3049),
% 59.09/9.99    inference(forward_demodulation,[],[f84205,f50171])).
% 59.09/9.99  tff(f84205,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3049),
% 59.09/9.99    inference(avatar_component_clause,[],[f84204])).
% 59.09/9.99  tff(f84206,plain,(
% 59.09/9.99    spl2737_3049),
% 59.09/9.99    inference(avatar_split_clause,[],[f41138,f84204])).
% 59.09/9.99  tff(f41138,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21655])).
% 59.09/9.99  tff(f21655,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13184])).
% 59.09/9.99  tff(f13184,plain,(
% 59.09/9.99    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1)),
% 59.09/9.99    inference(rectify,[],[f108])).
% 59.09/9.99  tff(f108,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X7),zero_zero(X0)) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_diff__zero)).
% 59.09/9.99  tff(f84194,plain,(
% 59.09/9.99    spl2737_3048 | ~spl2737_3047),
% 59.09/9.99    inference(avatar_split_clause,[],[f84190,f84187,f84192])).
% 59.09/9.99  tff(f84192,plain,(
% 59.09/9.99    spl2737_3048 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3048])])).
% 59.09/9.99  tff(f84187,plain,(
% 59.09/9.99    spl2737_3047 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3047])])).
% 59.09/9.99  tff(f84190,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3047),
% 59.09/9.99    inference(forward_demodulation,[],[f84188,f50171])).
% 59.09/9.99  tff(f84188,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0)) ) | ~spl2737_3047),
% 59.09/9.99    inference(avatar_component_clause,[],[f84187])).
% 59.09/9.99  tff(f84189,plain,(
% 59.09/9.99    spl2737_3047),
% 59.09/9.99    inference(avatar_split_clause,[],[f41137,f84187])).
% 59.09/9.99  tff(f41137,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21654])).
% 59.09/9.99  tff(f21654,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~cancel1802427076303600483id_add(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13183])).
% 59.09/9.99  tff(f13183,plain,(
% 59.09/9.99    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1))),
% 59.09/9.99    inference(rectify,[],[f109])).
% 59.09/9.99  tff(f109,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (cancel1802427076303600483id_add(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X7),X7))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_cancel__comm__monoid__add__class_Odiff__cancel)).
% 59.09/9.99  tff(f84170,plain,(
% 59.09/9.99    spl2737_3046 | ~spl2737_3045),
% 59.09/9.99    inference(avatar_split_clause,[],[f84166,f84163,f84168])).
% 59.09/9.99  tff(f84168,plain,(
% 59.09/9.99    spl2737_3046 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),zero_zero(X0))) | ~zero_less_one(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3046])])).
% 59.09/9.99  tff(f84163,plain,(
% 59.09/9.99    spl2737_3045 <=> ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3045])])).
% 59.09/9.99  tff(f84166,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),one_one(X0)),zero_zero(X0))) | ~zero_less_one(X0)) ) | ~spl2737_3045),
% 59.09/9.99    inference(forward_demodulation,[],[f84164,f50171])).
% 59.09/9.99  tff(f84164,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0)) ) | ~spl2737_3045),
% 59.09/9.99    inference(avatar_component_clause,[],[f84163])).
% 59.09/9.99  tff(f84165,plain,(
% 59.09/9.99    spl2737_3045),
% 59.09/9.99    inference(avatar_split_clause,[],[f41107,f84163])).
% 59.09/9.99  tff(f41107,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21627])).
% 59.09/9.99  tff(f21627,plain,(
% 59.09/9.99    ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f406])).
% 59.09/9.99  tff(f406,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (zero_less_one(X0) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),one_one(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_405_zero__less__one)).
% 59.09/9.99  tff(f84146,plain,(
% 59.09/9.99    spl2737_3044 | ~spl2737_3043),
% 59.09/9.99    inference(avatar_split_clause,[],[f84142,f84139,f84144])).
% 59.09/9.99  tff(f84144,plain,(
% 59.09/9.99    spl2737_3044 <=> ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~zero_less_one(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3044])])).
% 59.09/9.99  tff(f84139,plain,(
% 59.09/9.99    spl2737_3043 <=> ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3043])])).
% 59.09/9.99  tff(f84142,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),one_one(X0)),zero_zero(X0))) | ~zero_less_one(X0)) ) | ~spl2737_3043),
% 59.09/9.99    inference(forward_demodulation,[],[f84140,f50171])).
% 59.09/9.99  tff(f84140,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0)) ) | ~spl2737_3043),
% 59.09/9.99    inference(avatar_component_clause,[],[f84139])).
% 59.09/9.99  tff(f84141,plain,(
% 59.09/9.99    spl2737_3043),
% 59.09/9.99    inference(avatar_split_clause,[],[f41106,f84139])).
% 59.09/9.99  tff(f41106,plain,(
% 59.09/9.99    ( ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21626])).
% 59.09/9.99  tff(f21626,plain,(
% 59.09/9.99    ! [X0 : $tType] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))) | ~zero_less_one(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f643])).
% 59.09/9.99  tff(f643,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (zero_less_one(X0) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),one_one(X0))))),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_642_zero__less__one__class_Ozero__le__one)).
% 59.09/9.99  tff(f84131,plain,(
% 59.09/9.99    spl2737_3042 | ~spl2737_3041),
% 59.09/9.99    inference(avatar_split_clause,[],[f84127,f84124,f84129])).
% 59.09/9.99  tff(f84129,plain,(
% 59.09/9.99    spl2737_3042 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),X1),bot_bot(X0)) = X1 | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3042])])).
% 59.09/9.99  tff(f84124,plain,(
% 59.09/9.99    spl2737_3041 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),bot_bot(X0)),X1) = X1 | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3041])])).
% 59.09/9.99  tff(f84127,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),X1),bot_bot(X0)) = X1 | ~bounde4967611905675639751up_bot(X0)) ) | ~spl2737_3041),
% 59.09/9.99    inference(forward_demodulation,[],[f84125,f50171])).
% 59.09/9.99  tff(f84125,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),bot_bot(X0)),X1) = X1 | ~bounde4967611905675639751up_bot(X0)) ) | ~spl2737_3041),
% 59.09/9.99    inference(avatar_component_clause,[],[f84124])).
% 59.09/9.99  tff(f84126,plain,(
% 59.09/9.99    spl2737_3041),
% 59.09/9.99    inference(avatar_split_clause,[],[f40924,f84124])).
% 59.09/9.99  tff(f40924,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),bot_bot(X0)),X1) = X1 | ~bounde4967611905675639751up_bot(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21428])).
% 59.09/9.99  tff(f21428,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),bot_bot(X0)),X1) = X1 | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13022])).
% 59.09/9.99  tff(f13022,plain,(
% 59.09/9.99    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),bot_bot(X0)),X1) = X1)),
% 59.09/9.99    inference(rectify,[],[f6237])).
% 59.09/9.99  tff(f6237,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),bot_bot(X0)),X7) = X7)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6236_sup__bot_Oleft__neutral)).
% 59.09/9.99  tff(f84116,plain,(
% 59.09/9.99    spl2737_3040 | ~spl2737_3039),
% 59.09/9.99    inference(avatar_split_clause,[],[f84112,f84109,f84114])).
% 59.09/9.99  tff(f84114,plain,(
% 59.09/9.99    spl2737_3040 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),bot_bot(X0)),X1) = X1 | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3040])])).
% 59.09/9.99  tff(f84109,plain,(
% 59.09/9.99    spl2737_3039 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),bot_bot(X0)) = X1 | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3039])])).
% 59.09/9.99  tff(f84112,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),bot_bot(X0)),X1) = X1 | ~bounde4967611905675639751up_bot(X0)) ) | ~spl2737_3039),
% 59.09/9.99    inference(forward_demodulation,[],[f84110,f50171])).
% 59.09/9.99  tff(f84110,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),bot_bot(X0)) = X1 | ~bounde4967611905675639751up_bot(X0)) ) | ~spl2737_3039),
% 59.09/9.99    inference(avatar_component_clause,[],[f84109])).
% 59.09/9.99  tff(f84111,plain,(
% 59.09/9.99    spl2737_3039),
% 59.09/9.99    inference(avatar_split_clause,[],[f40922,f84109])).
% 59.09/9.99  tff(f40922,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),bot_bot(X0)) = X1 | ~bounde4967611905675639751up_bot(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21426])).
% 59.09/9.99  tff(f21426,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),bot_bot(X0)) = X1 | ~bounde4967611905675639751up_bot(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13020])).
% 59.09/9.99  tff(f13020,plain,(
% 59.09/9.99    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),bot_bot(X0)) = X1)),
% 59.09/9.99    inference(rectify,[],[f6233])).
% 59.09/9.99  tff(f6233,axiom,(
% 59.09/9.99    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => ! [X14 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X14),bot_bot(X0)) = X14)),
% 59.09/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6232_sup__bot__right)).
% 59.09/9.99  tff(f84101,plain,(
% 59.09/9.99    spl2737_3038 | ~spl2737_3037),
% 59.09/9.99    inference(avatar_split_clause,[],[f84097,f84094,f84099])).
% 59.09/9.99  tff(f84099,plain,(
% 59.09/9.99    spl2737_3038 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),X1),top_top(X0)) = X1 | ~bounde4346867609351753570nf_top(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3038])])).
% 59.09/9.99  tff(f84094,plain,(
% 59.09/9.99    spl2737_3037 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),top_top(X0)),X1) = X1 | ~bounde4346867609351753570nf_top(X0))),
% 59.09/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3037])])).
% 59.09/9.99  tff(f84097,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),X1),top_top(X0)) = X1 | ~bounde4346867609351753570nf_top(X0)) ) | ~spl2737_3037),
% 59.09/9.99    inference(forward_demodulation,[],[f84095,f50171])).
% 59.09/9.99  tff(f84095,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),top_top(X0)),X1) = X1 | ~bounde4346867609351753570nf_top(X0)) ) | ~spl2737_3037),
% 59.09/9.99    inference(avatar_component_clause,[],[f84094])).
% 59.09/9.99  tff(f84096,plain,(
% 59.09/9.99    spl2737_3037),
% 59.09/9.99    inference(avatar_split_clause,[],[f40888,f84094])).
% 59.09/9.99  tff(f40888,plain,(
% 59.09/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),top_top(X0)),X1) = X1 | ~bounde4346867609351753570nf_top(X0)) )),
% 59.09/9.99    inference(cnf_transformation,[],[f21404])).
% 59.09/9.99  tff(f21404,plain,(
% 59.09/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),top_top(X0)),X1) = X1 | ~bounde4346867609351753570nf_top(X0))),
% 59.09/9.99    inference(ennf_transformation,[],[f13002])).
% 59.09/9.99  tff(f13002,plain,(
% 59.09/9.99    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),top_top(X0)),X1) = X1)),
% 59.09/9.99    inference(rectify,[],[f5577])).
% 59.09/9.99  tff(f5577,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => ! [X14 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),top_top(X0)),X14) = X14)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5576_inf__top__left)).
% 59.37/9.99  tff(f84086,plain,(
% 59.37/9.99    spl2737_3036 | ~spl2737_3035),
% 59.37/9.99    inference(avatar_split_clause,[],[f84082,f84079,f84084])).
% 59.37/9.99  tff(f84084,plain,(
% 59.37/9.99    spl2737_3036 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),top_top(X0)),X1) = X1 | ~bounde4346867609351753570nf_top(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3036])])).
% 59.37/9.99  tff(f84079,plain,(
% 59.37/9.99    spl2737_3035 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),top_top(X0)) = X1 | ~bounde4346867609351753570nf_top(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3035])])).
% 59.37/9.99  tff(f84082,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),top_top(X0)),X1) = X1 | ~bounde4346867609351753570nf_top(X0)) ) | ~spl2737_3035),
% 59.37/9.99    inference(forward_demodulation,[],[f84080,f50171])).
% 59.37/9.99  tff(f84080,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),top_top(X0)) = X1 | ~bounde4346867609351753570nf_top(X0)) ) | ~spl2737_3035),
% 59.37/9.99    inference(avatar_component_clause,[],[f84079])).
% 59.37/9.99  tff(f84081,plain,(
% 59.37/9.99    spl2737_3035),
% 59.37/9.99    inference(avatar_split_clause,[],[f40886,f84079])).
% 59.37/9.99  tff(f40886,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),top_top(X0)) = X1 | ~bounde4346867609351753570nf_top(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21402])).
% 59.37/9.99  tff(f21402,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),top_top(X0)) = X1 | ~bounde4346867609351753570nf_top(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13000])).
% 59.37/9.99  tff(f13000,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),top_top(X0)) = X1)),
% 59.37/9.99    inference(rectify,[],[f5584])).
% 59.37/9.99  tff(f5584,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X7),top_top(X0)) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5583_inf__top_Oright__neutral)).
% 59.37/9.99  tff(f84077,plain,(
% 59.37/9.99    spl2737_3034),
% 59.37/9.99    inference(avatar_split_clause,[],[f40767,f84075])).
% 59.37/9.99  tff(f84075,plain,(
% 59.37/9.99    spl2737_3034 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | ~ring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3034])])).
% 59.37/9.99  tff(f40767,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | ~ring_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29542])).
% 59.37/9.99  tff(f29542,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : ((one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1))) & (ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1))) | ~ring_1(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f21290])).
% 59.37/9.99  tff(f21290,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1))) | ~ring_1(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12913])).
% 59.37/9.99  tff(f12913,plain,(
% 59.37/9.99    ! [X0 : $tType] : (ring_1(X0) => ! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1))))),
% 59.37/9.99    inference(rectify,[],[f4805])).
% 59.37/9.99  tff(f4805,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (ring_1(X0) => ! [X15 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X15) <=> ring_1_iszero(X0,neg_numeral_sub(X0,one2,X15))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4804_eq__numeral__iff__iszero_I6_J)).
% 59.37/9.99  tff(f84073,plain,(
% 59.37/9.99    spl2737_3033),
% 59.37/9.99    inference(avatar_split_clause,[],[f40766,f84071])).
% 59.37/9.99  tff(f84071,plain,(
% 59.37/9.99    spl2737_3033 <=> ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3033])])).
% 59.37/9.99  tff(f40766,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,one2,X1)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29542])).
% 59.37/9.99  tff(f84069,plain,(
% 59.37/9.99    spl2737_3032),
% 59.37/9.99    inference(avatar_split_clause,[],[f40765,f84067])).
% 59.37/9.99  tff(f84067,plain,(
% 59.37/9.99    spl2737_3032 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | ~ring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3032])])).
% 59.37/9.99  tff(f40765,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | ~ring_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29541])).
% 59.37/9.99  tff(f29541,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : ((one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | ~ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2))) & (ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1))) | ~ring_1(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f21289])).
% 59.37/9.99  tff(f21289,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2))) | ~ring_1(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12912])).
% 59.37/9.99  tff(f12912,plain,(
% 59.37/9.99    ! [X0 : $tType] : (ring_1(X0) => ! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2))))),
% 59.37/9.99    inference(rectify,[],[f4806])).
% 59.37/9.99  tff(f4806,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (ring_1(X0) => ! [X14 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X14) <=> ring_1_iszero(X0,neg_numeral_sub(X0,X14,one2))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4805_eq__numeral__iff__iszero_I5_J)).
% 59.37/9.99  tff(f84065,plain,(
% 59.37/9.99    spl2737_3031),
% 59.37/9.99    inference(avatar_split_clause,[],[f40764,f84063])).
% 59.37/9.99  tff(f84063,plain,(
% 59.37/9.99    spl2737_3031 <=> ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3031])])).
% 59.37/9.99  tff(f40764,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (ring_1_iszero(X0,neg_numeral_sub(X0,X1,one2)) | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29541])).
% 59.37/9.99  tff(f84061,plain,(
% 59.37/9.99    spl2737_3030),
% 59.37/9.99    inference(avatar_split_clause,[],[f40677,f84059])).
% 59.37/9.99  tff(f84059,plain,(
% 59.37/9.99    spl2737_3030 <=> ! [X0 : $tType,X1 : X0] : (sP190(X0,X1) | neg_numeral_is_num(X0,sK824(X0,X1)) | one_one(X0) = X1 | ~neg_numeral_is_num(X0,X1) | ~neg_numeral(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3030])])).
% 59.37/9.99  tff(f40677,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (sP190(X0,X1) | neg_numeral_is_num(X0,sK824(X0,X1)) | one_one(X0) = X1 | ~neg_numeral_is_num(X0,X1) | ~neg_numeral(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29523])).
% 59.37/9.99  tff(f29523,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : (sP190(X0,X1) | (neg_numeral_is_num(X0,sK824(X0,X1)) & aa(X0,X0,uminus_uminus(X0),sK824(X0,X1)) = X1) | one_one(X0) = X1 | ~neg_numeral_is_num(X0,X1)) | ~neg_numeral(X0))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK824])],[f27374,f29522])).
% 59.37/9.99  tff(f29522,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : (neg_numeral_is_num(X0,X2) & aa(X0,X0,uminus_uminus(X0),X2) = X1) => (neg_numeral_is_num(X0,sK824(X0,X1)) & aa(X0,X0,uminus_uminus(X0),sK824(X0,X1)) = X1))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f27374,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : (sP190(X0,X1) | ? [X2 : X0] : (neg_numeral_is_num(X0,X2) & aa(X0,X0,uminus_uminus(X0),X2) = X1) | one_one(X0) = X1 | ~neg_numeral_is_num(X0,X1)) | ~neg_numeral(X0))),
% 59.37/9.99    inference(definition_folding,[],[f21217,f27373])).
% 59.37/9.99  tff(f27373,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0] : (? [X3 : X0,X4 : X0] : (neg_numeral_is_num(X0,X4) & neg_numeral_is_num(X0,X3) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X4) = X1) | ~sP190(X0,X1))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP190])])).
% 59.37/9.99  tff(f21217,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : (? [X3 : X0,X4 : X0] : (neg_numeral_is_num(X0,X4) & neg_numeral_is_num(X0,X3) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X4) = X1) | ? [X2 : X0] : (neg_numeral_is_num(X0,X2) & aa(X0,X0,uminus_uminus(X0),X2) = X1) | one_one(X0) = X1 | ~neg_numeral_is_num(X0,X1)) | ~neg_numeral(X0))),
% 59.37/9.99    inference(flattening,[],[f21216])).
% 59.37/9.99  tff(f21216,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : (((? [X3 : X0,X4 : X0] : ((neg_numeral_is_num(X0,X4) & neg_numeral_is_num(X0,X3)) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X4) = X1) | ? [X2 : X0] : (neg_numeral_is_num(X0,X2) & aa(X0,X0,uminus_uminus(X0),X2) = X1)) | one_one(X0) = X1) | ~neg_numeral_is_num(X0,X1)) | ~neg_numeral(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12858])).
% 59.37/9.99  tff(f12858,plain,(
% 59.37/9.99    ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : X0] : (neg_numeral_is_num(X0,X1) => (one_one(X0) != X1 => (! [X2 : X0] : (aa(X0,X0,uminus_uminus(X0),X2) = X1 => ~neg_numeral_is_num(X0,X2)) => ~! [X3 : X0,X4 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X4) = X1 => (neg_numeral_is_num(X0,X3) => ~neg_numeral_is_num(X0,X4)))))))),
% 59.37/9.99    inference(rectify,[],[f7770])).
% 59.37/9.99  tff(f7770,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (neg_numeral(X0) => ! [X7 : X0] : (neg_numeral_is_num(X0,X7) => (one_one(X0) != X7 => (! [X20 : X0] : (aa(X0,X0,uminus_uminus(X0),X20) = X7 => ~neg_numeral_is_num(X0,X20)) => ~! [X20 : X0,X21 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X20),X21) = X7 => (neg_numeral_is_num(X0,X20) => ~neg_numeral_is_num(X0,X21)))))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7769_is__num_Ocases)).
% 59.37/9.99  tff(f84057,plain,(
% 59.37/9.99    spl2737_3029),
% 59.37/9.99    inference(avatar_split_clause,[],[f40630,f84055])).
% 59.37/9.99  tff(f40630,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)) | ~neg_numeral(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21173])).
% 59.37/9.99  tff(f21173,plain,(
% 59.37/9.99    ! [X0 : $tType] : (neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)) | ~neg_numeral(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f2555])).
% 59.37/9.99  tff(f2555,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (neg_numeral(X0) => neg_numeral_dbl_inc(X0,one_one(X0)) = aa(num,X0,numeral_numeral(X0),aa(num,num,bit1,one2)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2554_dbl__inc__simps_I3_J)).
% 59.37/9.99  tff(f84048,plain,(
% 59.37/9.99    spl2737_3028 | ~spl2737_3027),
% 59.37/9.99    inference(avatar_split_clause,[],[f84044,f84041,f84046])).
% 59.37/9.99  tff(f84046,plain,(
% 59.37/9.99    spl2737_3028 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3028])])).
% 59.37/9.99  tff(f84041,plain,(
% 59.37/9.99    spl2737_3027 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3027])])).
% 59.37/9.99  tff(f84044,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,plus_plus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0)) ) | ~spl2737_3027),
% 59.37/9.99    inference(forward_demodulation,[],[f84042,f50171])).
% 59.37/9.99  tff(f84042,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0)) ) | ~spl2737_3027),
% 59.37/9.99    inference(avatar_component_clause,[],[f84041])).
% 59.37/9.99  tff(f84043,plain,(
% 59.37/9.99    spl2737_3027),
% 59.37/9.99    inference(avatar_split_clause,[],[f40541,f84041])).
% 59.37/9.99  tff(f40541,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21098])).
% 59.37/9.99  tff(f21098,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12761])).
% 59.37/9.99  tff(f12761,plain,(
% 59.37/9.99    ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X1) = X1)),
% 59.37/9.99    inference(rectify,[],[f187])).
% 59.37/9.99  tff(f187,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (group_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),zero_zero(X0)),X7) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_add_Ogroup__left__neutral)).
% 59.37/9.99  tff(f84034,plain,(
% 59.37/9.99    spl2737_3026 | ~spl2737_3025),
% 59.37/9.99    inference(avatar_split_clause,[],[f84030,f84027,f84032])).
% 59.37/9.99  tff(f84032,plain,(
% 59.37/9.99    spl2737_3026 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3026])])).
% 59.37/9.99  tff(f84027,plain,(
% 59.37/9.99    spl2737_3025 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3025])])).
% 59.37/9.99  tff(f84030,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),zero_zero(X0)),X1) = X1 | ~group_add(X0)) ) | ~spl2737_3025),
% 59.37/9.99    inference(forward_demodulation,[],[f84028,f50171])).
% 59.37/9.99  tff(f84028,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0)) ) | ~spl2737_3025),
% 59.37/9.99    inference(avatar_component_clause,[],[f84027])).
% 59.37/9.99  tff(f84029,plain,(
% 59.37/9.99    spl2737_3025),
% 59.37/9.99    inference(avatar_split_clause,[],[f40540,f84027])).
% 59.37/9.99  tff(f40540,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21097])).
% 59.37/9.99  tff(f21097,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1 | ~group_add(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12760])).
% 59.37/9.99  tff(f12760,plain,(
% 59.37/9.99    ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),zero_zero(X0)) = X1)),
% 59.37/9.99    inference(rectify,[],[f106])).
% 59.37/9.99  tff(f106,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (group_add(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X7),zero_zero(X0)) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_diff__0__right)).
% 59.37/9.99  tff(f84020,plain,(
% 59.37/9.99    spl2737_3024 | ~spl2737_3023),
% 59.37/9.99    inference(avatar_split_clause,[],[f84016,f84013,f84018])).
% 59.37/9.99  tff(f84018,plain,(
% 59.37/9.99    spl2737_3024 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X1),X1) | ~group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3024])])).
% 59.37/9.99  tff(f84013,plain,(
% 59.37/9.99    spl2737_3023 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3023])])).
% 59.37/9.99  tff(f84016,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X1),X1) | ~group_add(X0)) ) | ~spl2737_3023),
% 59.37/9.99    inference(forward_demodulation,[],[f84014,f50171])).
% 59.37/9.99  tff(f84014,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~group_add(X0)) ) | ~spl2737_3023),
% 59.37/9.99    inference(avatar_component_clause,[],[f84013])).
% 59.37/9.99  tff(f84015,plain,(
% 59.37/9.99    spl2737_3023),
% 59.37/9.99    inference(avatar_split_clause,[],[f40539,f84013])).
% 59.37/9.99  tff(f40539,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~group_add(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21096])).
% 59.37/9.99  tff(f21096,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) | ~group_add(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12759])).
% 59.37/9.99  tff(f12759,plain,(
% 59.37/9.99    ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1))),
% 59.37/9.99    inference(rectify,[],[f105])).
% 59.37/9.99  tff(f105,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (group_add(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X7),X7))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_diff__self)).
% 59.37/9.99  tff(f84011,plain,(
% 59.37/9.99    spl2737_3022),
% 59.37/9.99    inference(avatar_split_clause,[],[f39974,f84009])).
% 59.37/9.99  tff(f84009,plain,(
% 59.37/9.99    spl2737_3022 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~linordered_idom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3022])])).
% 59.37/9.99  tff(f39974,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~linordered_idom(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f20769])).
% 59.37/9.99  tff(f20769,plain,(
% 59.37/9.99    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~linordered_idom(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f783])).
% 59.37/9.99  tff(f783,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (linordered_idom(X0) => one_one(X0) = aa(X0,X0,abs_abs(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_782_abs__neg__one)).
% 59.37/9.99  tff(f84002,plain,(
% 59.37/9.99    spl2737_3021 | ~spl2737_3020),
% 59.37/9.99    inference(avatar_split_clause,[],[f83998,f83995,f84000])).
% 59.37/9.99  tff(f84000,plain,(
% 59.37/9.99    spl2737_3021 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3021])])).
% 59.37/9.99  tff(f83995,plain,(
% 59.37/9.99    spl2737_3020 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3020])])).
% 59.37/9.99  tff(f83998,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3020),
% 59.37/9.99    inference(forward_demodulation,[],[f83996,f50171])).
% 59.37/9.99  tff(f83996,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3020),
% 59.37/9.99    inference(avatar_component_clause,[],[f83995])).
% 59.37/9.99  tff(f83997,plain,(
% 59.37/9.99    spl2737_3020),
% 59.37/9.99    inference(avatar_split_clause,[],[f39862,f83995])).
% 59.37/9.99  tff(f39862,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f20696])).
% 59.37/9.99  tff(f20696,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12408])).
% 59.37/9.99  tff(f12408,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1)),
% 59.37/9.99    inference(rectify,[],[f4327])).
% 59.37/9.99  tff(f4327,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X7) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4326_or_Oleft__neutral)).
% 59.37/9.99  tff(f83988,plain,(
% 59.37/9.99    spl2737_3019 | ~spl2737_3018),
% 59.37/9.99    inference(avatar_split_clause,[],[f83984,f83981,f83986])).
% 59.37/9.99  tff(f83986,plain,(
% 59.37/9.99    spl2737_3019 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3019])])).
% 59.37/9.99  tff(f83981,plain,(
% 59.37/9.99    spl2737_3018 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3018])])).
% 59.37/9.99  tff(f83984,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3018),
% 59.37/9.99    inference(forward_demodulation,[],[f83982,f50171])).
% 59.37/9.99  tff(f83982,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3018),
% 59.37/9.99    inference(avatar_component_clause,[],[f83981])).
% 59.37/9.99  tff(f83983,plain,(
% 59.37/9.99    spl2737_3018),
% 59.37/9.99    inference(avatar_split_clause,[],[f39861,f83981])).
% 59.37/9.99  tff(f39861,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f20695])).
% 59.37/9.99  tff(f20695,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12407])).
% 59.37/9.99  tff(f12407,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1)),
% 59.37/9.99    inference(rectify,[],[f3453])).
% 59.37/9.99  tff(f3453,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X7) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3452_xor_Oleft__neutral)).
% 59.37/9.99  tff(f83974,plain,(
% 59.37/9.99    spl2737_3017 | ~spl2737_3016),
% 59.37/9.99    inference(avatar_split_clause,[],[f83970,f83967,f83972])).
% 59.37/9.99  tff(f83972,plain,(
% 59.37/9.99    spl2737_3017 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3017])])).
% 59.37/9.99  tff(f83967,plain,(
% 59.37/9.99    spl2737_3016 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3016])])).
% 59.37/9.99  tff(f83970,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3016),
% 59.37/9.99    inference(forward_demodulation,[],[f83968,f50171])).
% 59.37/9.99  tff(f83968,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3016),
% 59.37/9.99    inference(avatar_component_clause,[],[f83967])).
% 59.37/9.99  tff(f83969,plain,(
% 59.37/9.99    spl2737_3016),
% 59.37/9.99    inference(avatar_split_clause,[],[f39860,f83967])).
% 59.37/9.99  tff(f39860,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f20694])).
% 59.37/9.99  tff(f20694,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12406])).
% 59.37/9.99  tff(f12406,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1)),
% 59.37/9.99    inference(rectify,[],[f4328])).
% 59.37/9.99  tff(f4328,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X7),zero_zero(X0)) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4327_or_Oright__neutral)).
% 59.37/9.99  tff(f83960,plain,(
% 59.37/9.99    spl2737_3015 | ~spl2737_3014),
% 59.37/9.99    inference(avatar_split_clause,[],[f83956,f83953,f83958])).
% 59.37/9.99  tff(f83958,plain,(
% 59.37/9.99    spl2737_3015 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3015])])).
% 59.37/9.99  tff(f83953,plain,(
% 59.37/9.99    spl2737_3014 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3014])])).
% 59.37/9.99  tff(f83956,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)),X1) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3014),
% 59.37/9.99    inference(forward_demodulation,[],[f83954,f50171])).
% 59.37/9.99  tff(f83954,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3014),
% 59.37/9.99    inference(avatar_component_clause,[],[f83953])).
% 59.37/9.99  tff(f83955,plain,(
% 59.37/9.99    spl2737_3014),
% 59.37/9.99    inference(avatar_split_clause,[],[f39859,f83953])).
% 59.37/9.99  tff(f39859,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f20693])).
% 59.37/9.99  tff(f20693,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1 | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12405])).
% 59.37/9.99  tff(f12405,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),zero_zero(X0)) = X1)),
% 59.37/9.99    inference(rectify,[],[f3454])).
% 59.37/9.99  tff(f3454,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X7),zero_zero(X0)) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3453_xor_Oright__neutral)).
% 59.37/9.99  tff(f83946,plain,(
% 59.37/9.99    spl2737_3013 | ~spl2737_3012),
% 59.37/9.99    inference(avatar_split_clause,[],[f83942,f83939,f83944])).
% 59.37/9.99  tff(f83944,plain,(
% 59.37/9.99    spl2737_3013 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3013])])).
% 59.37/9.99  tff(f83939,plain,(
% 59.37/9.99    spl2737_3012 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3012])])).
% 59.37/9.99  tff(f83942,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3012),
% 59.37/9.99    inference(forward_demodulation,[],[f83940,f50171])).
% 59.37/9.99  tff(f83940,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0)) ) | ~spl2737_3012),
% 59.37/9.99    inference(avatar_component_clause,[],[f83939])).
% 59.37/9.99  tff(f83941,plain,(
% 59.37/9.99    spl2737_3012),
% 59.37/9.99    inference(avatar_split_clause,[],[f39858,f83939])).
% 59.37/9.99  tff(f39858,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f20692])).
% 59.37/9.99  tff(f20692,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_se359711467146920520ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12404])).
% 59.37/9.99  tff(f12404,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1))),
% 59.37/9.99    inference(rectify,[],[f3452])).
% 59.37/9.99  tff(f3452,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X7),X7))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3451_xor__self__eq)).
% 59.37/9.99  tff(f83924,plain,(
% 59.37/9.99    spl2737_3011 | ~spl2737_3010),
% 59.37/9.99    inference(avatar_split_clause,[],[f83920,f83917,f83922])).
% 59.37/9.99  tff(f83922,plain,(
% 59.37/9.99    spl2737_3011 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),one_one(X0)),zero_zero(X0))) | ~algebraic_semidom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3011])])).
% 59.37/9.99  tff(f83917,plain,(
% 59.37/9.99    spl2737_3010 <=> ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))) | ~algebraic_semidom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3010])])).
% 59.37/9.99  tff(f83920,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),one_one(X0)),zero_zero(X0))) | ~algebraic_semidom(X0)) ) | ~spl2737_3010),
% 59.37/9.99    inference(forward_demodulation,[],[f83918,f50171])).
% 59.37/9.99  tff(f83918,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))) | ~algebraic_semidom(X0)) ) | ~spl2737_3010),
% 59.37/9.99    inference(avatar_component_clause,[],[f83917])).
% 59.37/9.99  tff(f83919,plain,(
% 59.37/9.99    spl2737_3010),
% 59.37/9.99    inference(avatar_split_clause,[],[f39718,f83917])).
% 59.37/9.99  tff(f39718,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))) | ~algebraic_semidom(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f20585])).
% 59.37/9.99  tff(f20585,plain,(
% 59.37/9.99    ! [X0 : $tType] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))) | ~algebraic_semidom(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f2854])).
% 59.37/9.99  tff(f2854,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (algebraic_semidom(X0) => ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),zero_zero(X0)),one_one(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2853_not__is__unit__0)).
% 59.37/9.99  tff(f83915,plain,(
% 59.37/9.99    spl2737_3009),
% 59.37/9.99    inference(avatar_split_clause,[],[f39656,f83913])).
% 59.37/9.99  tff(f83913,plain,(
% 59.37/9.99    spl2737_3009 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (order_antimono(nat,X0,X1) | ~order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~ordered_ab_group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3009])])).
% 59.37/9.99  tff(f39656,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (order_antimono(nat,X0,X1) | ~order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~ordered_ab_group_add(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29154])).
% 59.37/9.99  tff(f29154,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((order_antimono(nat,X0,X1) | ~order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1))) & (order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~order_antimono(nat,X0,X1))) | ~ordered_ab_group_add(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f20543])).
% 59.37/9.99  tff(f20543,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (order_antimono(nat,X0,X1) <=> order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1))) | ~ordered_ab_group_add(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12291])).
% 59.37/9.99  tff(f12291,plain,(
% 59.37/9.99    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X1 : fun(nat,X0)] : (order_antimono(nat,X0,X1) <=> order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1))))),
% 59.37/9.99    inference(rectify,[],[f6127])).
% 59.37/9.99  tff(f6127,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X148 : fun(nat,X0)] : (order_antimono(nat,X0,X148) <=> order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X148))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6126_decseq__eq__incseq)).
% 59.37/9.99  tff(f83911,plain,(
% 59.37/9.99    spl2737_3008),
% 59.37/9.99    inference(avatar_split_clause,[],[f39655,f83909])).
% 59.37/9.99  tff(f83909,plain,(
% 59.37/9.99    spl2737_3008 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~order_antimono(nat,X0,X1) | ~ordered_ab_group_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3008])])).
% 59.37/9.99  tff(f39655,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (order_mono(nat,X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~order_antimono(nat,X0,X1) | ~ordered_ab_group_add(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29154])).
% 59.37/9.99  tff(f83907,plain,(
% 59.37/9.99    spl2737_3007),
% 59.37/9.99    inference(avatar_split_clause,[],[f39642,f83905])).
% 59.37/9.99  tff(f83905,plain,(
% 59.37/9.99    spl2737_3007 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP160(X2,X1,X0) | ~sP161(X2,X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3007])])).
% 59.37/9.99  tff(f39642,plain,(
% 59.37/9.99    ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP160(X2,X1,X0) | ~sP161(X2,X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29148])).
% 59.37/9.99  tff(f29148,plain,(
% 59.37/9.99    ! [X0 : X2,X1 : fun(X2,bool),X2 : $tType] : (((eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP160(X2,X1,X0)) & (sP160(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))))) | ~sP161(X2,X0,X1))),
% 59.37/9.99    inference(rectify,[],[f29147])).
% 59.37/9.99  tff(f29147,plain,(
% 59.37/9.99    ! [X2 : X0,X3 : fun(X0,bool),X0 : $tType] : (((eventually(X0,X3,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP160(X0,X3,X2)) & (sP160(X0,X3,X2) | ~eventually(X0,X3,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))))) | ~sP161(X0,X2,X3))),
% 59.37/9.99    inference(nnf_transformation,[],[f27326])).
% 59.37/9.99  tff(f27326,plain,(
% 59.37/9.99    ! [X2 : X0,X3 : fun(X0,bool),X0 : $tType] : ((eventually(X0,X3,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> sP160(X0,X3,X2)) | ~sP161(X0,X2,X3))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP161])])).
% 59.37/9.99  tff(f83903,plain,(
% 59.37/9.99    spl2737_3006),
% 59.37/9.99    inference(avatar_split_clause,[],[f39641,f83901])).
% 59.37/9.99  tff(f83901,plain,(
% 59.37/9.99    spl2737_3006 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (sP160(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP161(X2,X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3006])])).
% 59.37/9.99  tff(f39641,plain,(
% 59.37/9.99    ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (sP160(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_lessThan(X2,X0))) | ~sP161(X2,X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29148])).
% 59.37/9.99  tff(f83899,plain,(
% 59.37/9.99    spl2737_3005),
% 59.37/9.99    inference(avatar_split_clause,[],[f39634,f83897])).
% 59.37/9.99  tff(f83897,plain,(
% 59.37/9.99    spl2737_3005 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP158(X2,X1,X0) | ~sP159(X2,X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3005])])).
% 59.37/9.99  tff(f39634,plain,(
% 59.37/9.99    ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP158(X2,X1,X0) | ~sP159(X2,X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29141])).
% 59.37/9.99  tff(f29141,plain,(
% 59.37/9.99    ! [X0 : X2,X1 : fun(X2,bool),X2 : $tType] : (((eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP158(X2,X1,X0)) & (sP158(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))))) | ~sP159(X2,X0,X1))),
% 59.37/9.99    inference(rectify,[],[f29140])).
% 59.37/9.99  tff(f29140,plain,(
% 59.37/9.99    ! [X1 : X0,X3 : fun(X0,bool),X0 : $tType] : (((eventually(X0,X3,topolo174197925503356063within(X0,X1,set_ord_greaterThan(X0,X1))) | ~sP158(X0,X3,X1)) & (sP158(X0,X3,X1) | ~eventually(X0,X3,topolo174197925503356063within(X0,X1,set_ord_greaterThan(X0,X1))))) | ~sP159(X0,X1,X3))),
% 59.37/9.99    inference(nnf_transformation,[],[f27323])).
% 59.37/9.99  tff(f27323,plain,(
% 59.37/9.99    ! [X1 : X0,X3 : fun(X0,bool),X0 : $tType] : ((eventually(X0,X3,topolo174197925503356063within(X0,X1,set_ord_greaterThan(X0,X1))) <=> sP158(X0,X3,X1)) | ~sP159(X0,X1,X3))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP159])])).
% 59.37/9.99  tff(f83895,plain,(
% 59.37/9.99    spl2737_3004),
% 59.37/9.99    inference(avatar_split_clause,[],[f39633,f83893])).
% 59.37/9.99  tff(f83893,plain,(
% 59.37/9.99    spl2737_3004 <=> ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (sP158(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP159(X2,X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3004])])).
% 59.37/9.99  tff(f39633,plain,(
% 59.37/9.99    ( ! [X2 : $tType,X0 : X2,X1 : fun(X2,bool)] : (sP158(X2,X1,X0) | ~eventually(X2,X1,topolo174197925503356063within(X2,X0,set_ord_greaterThan(X2,X0))) | ~sP159(X2,X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29141])).
% 59.37/9.99  tff(f83891,plain,(
% 59.37/9.99    spl2737_3003),
% 59.37/9.99    inference(avatar_split_clause,[],[f39522,f83889])).
% 59.37/9.99  tff(f83889,plain,(
% 59.37/9.99    spl2737_3003 <=> ! [X0 : $tType,X2 : nat,X1 : bool] : (pp(X1) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)) | ~bit_semiring_bits(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3003])])).
% 59.37/9.99  tff(f39522,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : nat,X1 : bool] : (pp(X1) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,aa(bool,X0,zero_neq_one_of_bool(X0),X1)),X2)) | ~bit_semiring_bits(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29092])).
% 59.37/9.99  tff(f83887,plain,(
% 59.37/9.99    spl2737_3002),
% 59.37/9.99    inference(avatar_split_clause,[],[f39197,f83885])).
% 59.37/9.99  tff(f83885,plain,(
% 59.37/9.99    spl2737_3002 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1) | ~algebr8660921524188924756oprime(X0,X2,X1) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3002])])).
% 59.37/9.99  tff(f39197,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1) | ~algebr8660921524188924756oprime(X0,X2,X1) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28992])).
% 59.37/9.99  tff(f28992,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1) | ~algebr8660921524188924756oprime(X0,X2,X1)) & (algebr8660921524188924756oprime(X0,X2,X1) | ~algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1))) | zero_zero(X0) = X1) | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f20268])).
% 59.37/9.99  tff(f20268,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1) <=> algebr8660921524188924756oprime(X0,X2,X1)) | zero_zero(X0) = X1) | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12049])).
% 59.37/9.99  tff(f12049,plain,(
% 59.37/9.99    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) != X1 => (algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1) <=> algebr8660921524188924756oprime(X0,X2,X1))))),
% 59.37/9.99    inference(rectify,[],[f6796])).
% 59.37/9.99  tff(f6796,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X49 : X0,X7 : X0] : (zero_zero(X0) != X49 => (algebr8660921524188924756oprime(X0,modulo_modulo(X0,X7,X49),X49) <=> algebr8660921524188924756oprime(X0,X7,X49))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6795_coprime__mod__left__iff)).
% 59.37/9.99  tff(f83883,plain,(
% 59.37/9.99    spl2737_3001),
% 59.37/9.99    inference(avatar_split_clause,[],[f39196,f83881])).
% 59.37/9.99  tff(f83881,plain,(
% 59.37/9.99    spl2737_3001 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X2,X1) | ~algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3001])])).
% 59.37/9.99  tff(f39196,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X2,X1) | ~algebr8660921524188924756oprime(X0,modulo_modulo(X0,X2,X1),X1) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28992])).
% 59.37/9.99  tff(f83879,plain,(
% 59.37/9.99    spl2737_3000),
% 59.37/9.99    inference(avatar_split_clause,[],[f39195,f83877])).
% 59.37/9.99  tff(f83877,plain,(
% 59.37/9.99    spl2737_3000 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)) | ~algebr8660921524188924756oprime(X0,X1,X2) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_3000])])).
% 59.37/9.99  tff(f39195,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)) | ~algebr8660921524188924756oprime(X0,X1,X2) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28991])).
% 59.37/9.99  tff(f28991,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)) | ~algebr8660921524188924756oprime(X0,X1,X2)) & (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)))) | zero_zero(X0) = X1) | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f20267])).
% 59.37/9.99  tff(f20267,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)) <=> algebr8660921524188924756oprime(X0,X1,X2)) | zero_zero(X0) = X1) | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12048])).
% 59.37/9.99  tff(f12048,plain,(
% 59.37/9.99    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) != X1 => (algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)) <=> algebr8660921524188924756oprime(X0,X1,X2))))),
% 59.37/9.99    inference(rectify,[],[f6795])).
% 59.37/9.99  tff(f6795,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X7 : X0,X49 : X0] : (zero_zero(X0) != X7 => (algebr8660921524188924756oprime(X0,X7,modulo_modulo(X0,X49,X7)) <=> algebr8660921524188924756oprime(X0,X7,X49))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6794_coprime__mod__right__iff)).
% 59.37/9.99  tff(f83875,plain,(
% 59.37/9.99    spl2737_2999),
% 59.37/9.99    inference(avatar_split_clause,[],[f39194,f83873])).
% 59.37/9.99  tff(f83873,plain,(
% 59.37/9.99    spl2737_2999 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2999])])).
% 59.37/9.99  tff(f39194,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,modulo_modulo(X0,X2,X1)) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28991])).
% 59.37/9.99  tff(f83848,plain,(
% 59.37/9.99    spl2737_2998 | ~spl2737_2997),
% 59.37/9.99    inference(avatar_split_clause,[],[f83844,f83841,f83846])).
% 59.37/9.99  tff(f83846,plain,(
% 59.37/9.99    spl2737_2998 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK760(X0,X1)),X1)) | ~no_top(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2998])])).
% 59.37/9.99  tff(f83841,plain,(
% 59.37/9.99    spl2737_2997 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK760(X0,X1))) | ~no_top(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2997])])).
% 59.37/9.99  tff(f83844,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK760(X0,X1)),X1)) | ~no_top(X0)) ) | ~spl2737_2997),
% 59.37/9.99    inference(forward_demodulation,[],[f83842,f50171])).
% 59.37/9.99  tff(f83842,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK760(X0,X1))) | ~no_top(X0)) ) | ~spl2737_2997),
% 59.37/9.99    inference(avatar_component_clause,[],[f83841])).
% 59.37/9.99  tff(f83843,plain,(
% 59.37/9.99    spl2737_2997),
% 59.37/9.99    inference(avatar_split_clause,[],[f39045,f83841])).
% 59.37/9.99  tff(f39045,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK760(X0,X1))) | ~no_top(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28944])).
% 59.37/9.99  tff(f28944,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK760(X0,X1))) | ~no_top(X0))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK760])],[f20158,f28943])).
% 59.37/9.99  tff(f28943,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK760(X0,X1))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f20158,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~no_top(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11957])).
% 59.37/9.99  tff(f11957,plain,(
% 59.37/9.99    ! [X0 : $tType] : (no_top(X0) => ! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))),
% 59.37/9.99    inference(rectify,[],[f841])).
% 59.37/9.99  tff(f841,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (no_top(X0) => ! [X14 : X0] : ? [X64 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X14),X64)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_840_gt__ex)).
% 59.37/9.99  tff(f83839,plain,(
% 59.37/9.99    spl2737_2996),
% 59.37/9.99    inference(avatar_split_clause,[],[f38681,f83837])).
% 59.37/9.99  tff(f83837,plain,(
% 59.37/9.99    spl2737_2996 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2996])])).
% 59.37/9.99  tff(f38681,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28865])).
% 59.37/9.99  tff(f28865,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = divide_divide(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & (zero_zero(X0) = X2 | zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 59.37/9.99    inference(flattening,[],[f28864])).
% 59.37/9.99  tff(f28864,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = divide_divide(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(X0) != X1)) & ((zero_zero(X0) = X2 | zero_zero(X0) = X1) | zero_zero(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f19923])).
% 59.37/9.99  tff(f19923,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)) | ~field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11754])).
% 59.37/9.99  tff(f11754,plain,(
% 59.37/9.99    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) <=> (zero_zero(X0) = X2 | zero_zero(X0) = X1)))),
% 59.37/9.99    inference(rectify,[],[f942])).
% 59.37/9.99  tff(f942,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (field(X0) => ! [X7 : X0,X49 : X0] : (zero_zero(X0) = divide_divide(X0,X7,X49) <=> (zero_zero(X0) = X49 | zero_zero(X0) = X7)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_941_divide__eq__0__iff)).
% 59.37/9.99  tff(f83835,plain,(
% 59.37/9.99    spl2737_2995),
% 59.37/9.99    inference(avatar_split_clause,[],[f38663,f83833])).
% 59.37/9.99  tff(f83833,plain,(
% 59.37/9.99    spl2737_2995 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),X2) | ~field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2995])])).
% 59.37/9.99  tff(f38663,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),X2) | ~field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19909])).
% 59.37/9.99  tff(f19909,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),X2) | ~field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11741])).
% 59.37/9.99  tff(f11741,plain,(
% 59.37/9.99    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),X2))),
% 59.37/9.99    inference(rectify,[],[f8311])).
% 59.37/9.99  tff(f8311,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (field(X0) => ! [X94 : X0,X353 : X0] : divide_divide(X0,X353,X94) = aa(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X94),X353))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8310_ATP_Olambda__195)).
% 59.37/9.99  tff(f83831,plain,(
% 59.37/9.99    spl2737_2994),
% 59.37/9.99    inference(avatar_split_clause,[],[f38617,f83829])).
% 59.37/9.99  tff(f83829,plain,(
% 59.37/9.99    spl2737_2994 <=> ! [X0 : $tType,X1 : product_prod(X0,X0)] : (unique5940410009612947441es_aux(X0,X1) | zero_zero(X0) != aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1) | ~unique1627219031080169319umeral(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2994])])).
% 59.37/9.99  tff(f38617,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : product_prod(X0,X0)] : (unique5940410009612947441es_aux(X0,X1) | zero_zero(X0) != aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1) | ~unique1627219031080169319umeral(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28852])).
% 59.37/9.99  tff(f28852,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : product_prod(X0,X0)] : ((unique5940410009612947441es_aux(X0,X1) | zero_zero(X0) != aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1)) & (zero_zero(X0) = aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1) | ~unique5940410009612947441es_aux(X0,X1))) | ~unique1627219031080169319umeral(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f19866])).
% 59.37/9.99  tff(f19866,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : product_prod(X0,X0)] : (unique5940410009612947441es_aux(X0,X1) <=> zero_zero(X0) = aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1)) | ~unique1627219031080169319umeral(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11707])).
% 59.37/9.99  tff(f11707,plain,(
% 59.37/9.99    ! [X0 : $tType] : (unique1627219031080169319umeral(X0) => ! [X1 : product_prod(X0,X0)] : (unique5940410009612947441es_aux(X0,X1) <=> zero_zero(X0) = aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f6561])).
% 59.37/9.99  tff(f6561,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (unique1627219031080169319umeral(X0) => ! [X222 : product_prod(X0,X0)] : (unique5940410009612947441es_aux(X0,X222) <=> zero_zero(X0) = aa(product_prod(X0,X0),X0,product_snd(X0,X0),X222)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6560_divides__aux__def)).
% 59.37/9.99  tff(f83827,plain,(
% 59.37/9.99    spl2737_2993),
% 59.37/9.99    inference(avatar_split_clause,[],[f38616,f83825])).
% 59.37/9.99  tff(f83825,plain,(
% 59.37/9.99    spl2737_2993 <=> ! [X0 : $tType,X1 : product_prod(X0,X0)] : (zero_zero(X0) = aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1) | ~unique5940410009612947441es_aux(X0,X1) | ~unique1627219031080169319umeral(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2993])])).
% 59.37/9.99  tff(f38616,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : product_prod(X0,X0)] : (zero_zero(X0) = aa(product_prod(X0,X0),X0,product_snd(X0,X0),X1) | ~unique5940410009612947441es_aux(X0,X1) | ~unique1627219031080169319umeral(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28852])).
% 59.37/9.99  tff(f83812,plain,(
% 59.37/9.99    spl2737_2992 | ~spl2737_2991),
% 59.37/9.99    inference(avatar_split_clause,[],[f83808,f83805,f83810])).
% 59.37/9.99  tff(f83810,plain,(
% 59.37/9.99    spl2737_2992 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),sK749(X0,X1))) | ~no_bot(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2992])])).
% 59.37/9.99  tff(f83805,plain,(
% 59.37/9.99    spl2737_2991 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK749(X0,X1)),X1)) | ~no_bot(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2991])])).
% 59.37/9.99  tff(f83808,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),sK749(X0,X1))) | ~no_bot(X0)) ) | ~spl2737_2991),
% 59.37/9.99    inference(forward_demodulation,[],[f83806,f50171])).
% 59.37/9.99  tff(f83806,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK749(X0,X1)),X1)) | ~no_bot(X0)) ) | ~spl2737_2991),
% 59.37/9.99    inference(avatar_component_clause,[],[f83805])).
% 59.37/9.99  tff(f83807,plain,(
% 59.37/9.99    spl2737_2991),
% 59.37/9.99    inference(avatar_split_clause,[],[f38576,f83805])).
% 59.37/9.99  tff(f38576,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK749(X0,X1)),X1)) | ~no_bot(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28832])).
% 59.37/9.99  tff(f28832,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK749(X0,X1)),X1)) | ~no_bot(X0))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK749])],[f19828,f28831])).
% 59.37/9.99  tff(f28831,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK749(X0,X1)),X1)))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f19828,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | ~no_bot(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11679])).
% 59.37/9.99  tff(f11679,plain,(
% 59.37/9.99    ! [X0 : $tType] : (no_bot(X0) => ! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)))),
% 59.37/9.99    inference(rectify,[],[f840])).
% 59.37/9.99  tff(f840,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (no_bot(X0) => ! [X14 : X0] : ? [X21 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X21),X14)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_839_lt__ex)).
% 59.37/9.99  tff(f83803,plain,(
% 59.37/9.99    spl2737_2990),
% 59.37/9.99    inference(avatar_split_clause,[],[f38329,f83801])).
% 59.37/9.99  tff(f83801,plain,(
% 59.37/9.99    spl2737_2990 <=> ! [X0 : $tType,X2 : X0,X1 : int] : (aa(X0,X0,aTP_Lamp_se(int,fun(X0,X0),X1),X2) = power_int(X0,X2,X1) | ~real_V3459762299906320749_field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2990])])).
% 59.37/9.99  tff(f38329,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : int] : (aa(X0,X0,aTP_Lamp_se(int,fun(X0,X0),X1),X2) = power_int(X0,X2,X1) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19603])).
% 59.37/9.99  tff(f19603,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : int,X2 : X0] : aa(X0,X0,aTP_Lamp_se(int,fun(X0,X0),X1),X2) = power_int(X0,X2,X1) | ~real_V3459762299906320749_field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11491])).
% 59.37/9.99  tff(f11491,plain,(
% 59.37/9.99    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : int,X2 : X0] : aa(X0,X0,aTP_Lamp_se(int,fun(X0,X0),X1),X2) = power_int(X0,X2,X1))),
% 59.37/9.99    inference(rectify,[],[f8342])).
% 59.37/9.99  tff(f8342,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X94 : int,X353 : X0] : aa(X0,X0,aTP_Lamp_se(int,fun(X0,X0),X94),X353) = power_int(X0,X353,X94))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8341_ATP_Olambda__226)).
% 59.37/9.99  tff(f83799,plain,(
% 59.37/9.99    spl2737_2989),
% 59.37/9.99    inference(avatar_split_clause,[],[f38317,f83797])).
% 59.37/9.99  tff(f83797,plain,(
% 59.37/9.99    spl2737_2989 <=> ! [X0 : $tType,X1 : X0] : (filterlim(nat,X0,aTP_Lamp_vk(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2989])])).
% 59.37/9.99  tff(f38317,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (filterlim(nat,X0,aTP_Lamp_vk(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19592])).
% 59.37/9.99  tff(f19592,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : filterlim(nat,X0,aTP_Lamp_vk(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11480])).
% 59.37/9.99  tff(f11480,plain,(
% 59.37/9.99    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0] : filterlim(nat,X0,aTP_Lamp_vk(X0,fun(nat,X0),X1),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)))),
% 59.37/9.99    inference(rectify,[],[f5936])).
% 59.37/9.99  tff(f5936,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X7 : X0] : filterlim(nat,X0,aTP_Lamp_vk(X0,fun(nat,X0),X7),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5935_lim__const__over__n)).
% 59.37/9.99  tff(f83795,plain,(
% 59.37/9.99    spl2737_2988),
% 59.37/9.99    inference(avatar_split_clause,[],[f37762,f83793])).
% 59.37/9.99  tff(f83793,plain,(
% 59.37/9.99    spl2737_2988 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_lu(X0,fun(X0,X0),X1),X2) | ~linordered_field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2988])])).
% 59.37/9.99  tff(f37762,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_lu(X0,fun(X0,X0),X1),X2) | ~linordered_field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19369])).
% 59.37/9.99  tff(f19369,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_lu(X0,fun(X0,X0),X1),X2) | ~linordered_field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11322])).
% 59.37/9.99  tff(f11322,plain,(
% 59.37/9.99    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,aTP_Lamp_lu(X0,fun(X0,X0),X1),X2))),
% 59.37/9.99    inference(rectify,[],[f8310])).
% 59.37/9.99  tff(f8310,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (linordered_field(X0) => ! [X94 : X0,X353 : X0] : aa(X0,X0,aTP_Lamp_lu(X0,fun(X0,X0),X94),X353) = divide_divide(X0,X353,X94))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8309_ATP_Olambda__194)).
% 59.37/9.99  tff(f83780,plain,(
% 59.37/9.99    spl2737_2987 | ~spl2737_2986),
% 59.37/9.99    inference(avatar_split_clause,[],[f83776,f83773,f83778])).
% 59.37/9.99  tff(f83778,plain,(
% 59.37/9.99    spl2737_2987 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),sK715(X0,X1))) | ~linordered_field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2987])])).
% 59.37/9.99  tff(f83773,plain,(
% 59.37/9.99    spl2737_2986 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK715(X0,X1)),X1)) | ~linordered_field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2986])])).
% 59.37/9.99  tff(f83776,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),sK715(X0,X1))) | ~linordered_field(X0)) ) | ~spl2737_2986),
% 59.37/9.99    inference(forward_demodulation,[],[f83774,f50171])).
% 59.37/9.99  tff(f83774,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK715(X0,X1)),X1)) | ~linordered_field(X0)) ) | ~spl2737_2986),
% 59.37/9.99    inference(avatar_component_clause,[],[f83773])).
% 59.37/9.99  tff(f83775,plain,(
% 59.37/9.99    spl2737_2986),
% 59.37/9.99    inference(avatar_split_clause,[],[f37761,f83773])).
% 59.37/9.99  tff(f37761,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK715(X0,X1)),X1)) | ~linordered_field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28525])).
% 59.37/9.99  tff(f28525,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK715(X0,X1)),X1)) | ~linordered_field(X0))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK715])],[f19368,f28524])).
% 59.37/9.99  tff(f28524,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK715(X0,X1)),X1)))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f19368,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | ~linordered_field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11321])).
% 59.37/9.99  tff(f11321,plain,(
% 59.37/9.99    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)))),
% 59.37/9.99    inference(rectify,[],[f466])).
% 59.37/9.99  tff(f466,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (linordered_field(X0) => ! [X63 : X0] : ? [X21 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X21),X63)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_465_linordered__field__no__lb)).
% 59.37/9.99  tff(f83748,plain,(
% 59.37/9.99    spl2737_2985 | ~spl2737_2984),
% 59.37/9.99    inference(avatar_split_clause,[],[f83744,f83741,f83746])).
% 59.37/9.99  tff(f83746,plain,(
% 59.37/9.99    spl2737_2985 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK714(X0,X1)),X1)) | ~linordered_field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2985])])).
% 59.37/9.99  tff(f83741,plain,(
% 59.37/9.99    spl2737_2984 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK714(X0,X1))) | ~linordered_field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2984])])).
% 59.37/9.99  tff(f83744,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),sK714(X0,X1)),X1)) | ~linordered_field(X0)) ) | ~spl2737_2984),
% 59.37/9.99    inference(forward_demodulation,[],[f83742,f50171])).
% 59.37/9.99  tff(f83742,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK714(X0,X1))) | ~linordered_field(X0)) ) | ~spl2737_2984),
% 59.37/9.99    inference(avatar_component_clause,[],[f83741])).
% 59.37/9.99  tff(f83743,plain,(
% 59.37/9.99    spl2737_2984),
% 59.37/9.99    inference(avatar_split_clause,[],[f37760,f83741])).
% 59.37/9.99  tff(f37760,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK714(X0,X1))) | ~linordered_field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28523])).
% 59.37/9.99  tff(f28523,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK714(X0,X1))) | ~linordered_field(X0))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK714])],[f19367,f28522])).
% 59.37/9.99  tff(f28522,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0] : (? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),sK714(X0,X1))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f19367,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~linordered_field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11320])).
% 59.37/9.99  tff(f11320,plain,(
% 59.37/9.99    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : ? [X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))),
% 59.37/9.99    inference(rectify,[],[f467])).
% 59.37/9.99  tff(f467,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (linordered_field(X0) => ! [X63 : X0] : ? [X64 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X63),X64)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_466_linordered__field__no__ub)).
% 59.37/9.99  tff(f83739,plain,(
% 59.37/9.99    spl2737_2983),
% 59.37/9.99    inference(avatar_split_clause,[],[f37492,f83737])).
% 59.37/9.99  tff(f83737,plain,(
% 59.37/9.99    spl2737_2983 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_ja(X0,fun(X0,bool),X1)))) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2983])])).
% 59.37/9.99  tff(f37492,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_ja(X0,fun(X0,bool),X1)))) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19186])).
% 59.37/9.99  tff(f19186,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_ja(X0,fun(X0,bool),X1)))) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11153])).
% 59.37/9.99  tff(f11153,plain,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_ja(X0,fun(X0,bool),X1)))))),
% 59.37/9.99    inference(rectify,[],[f4153])).
% 59.37/9.99  tff(f4153,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X7 : X0] : pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_ja(X0,fun(X0,bool),X7)))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4152_finite__abs__int__segment)).
% 59.37/9.99  tff(f83735,plain,(
% 59.37/9.99    spl2737_2982),
% 59.37/9.99    inference(avatar_split_clause,[],[f37217,f83733])).
% 59.37/9.99  tff(f83733,plain,(
% 59.37/9.99    spl2737_2982 <=> ! [X0 : $tType,X4 : X0,X3 : real,X2 : real,X1 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) = X1 | ~sP25(X0,X1,X3,X4,X2) | ~sP26(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2982])])).
% 59.37/9.99  tff(f37217,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : real,X3 : real,X1 : X0,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) = X1 | ~sP25(X0,X1,X3,X4,X2) | ~sP26(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28324])).
% 59.37/9.99  tff(f28324,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : real,X3 : real,X4 : X0] : ((real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) = X1 | ~sP25(X0,X1,X3,X4,X2)) & (sP25(X0,X1,X3,X4,X2) | real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) != X1)) | ~sP26(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f27130])).
% 59.37/9.99  tff(f27130,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : real,X3 : real,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) = X1 <=> sP25(X0,X1,X3,X4,X2)) | ~sP26(X0))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])])).
% 59.37/9.99  tff(f83731,plain,(
% 59.37/9.99    spl2737_2981),
% 59.37/9.99    inference(avatar_split_clause,[],[f37208,f83729])).
% 59.37/9.99  tff(f83729,plain,(
% 59.37/9.99    spl2737_2981 <=> ! [X0 : $tType,X4 : X0,X3 : X0,X2 : real,X1 : real] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) = X4 | ~sP23(X0,X4,X2,X3,X1) | ~sP24(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2981])])).
% 59.37/9.99  tff(f37208,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : real,X3 : X0,X1 : real,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) = X4 | ~sP23(X0,X4,X2,X3,X1) | ~sP24(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28320])).
% 59.37/9.99  tff(f28320,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : real,X2 : real,X3 : X0,X4 : X0] : ((real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) = X4 | ~sP23(X0,X4,X2,X3,X1)) & (sP23(X0,X4,X2,X3,X1) | real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) != X4)) | ~sP24(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f27127])).
% 59.37/9.99  tff(f27127,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : real,X2 : real,X3 : X0,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) = X4 <=> sP23(X0,X4,X2,X3,X1)) | ~sP24(X0))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])])).
% 59.37/9.99  tff(f83727,plain,(
% 59.37/9.99    spl2737_2980),
% 59.37/9.99    inference(avatar_split_clause,[],[f37151,f83725])).
% 59.37/9.99  tff(f83725,plain,(
% 59.37/9.99    spl2737_2980 <=> ! [X0 : $tType,X2 : X0,X1 : real] : (zero_zero(X0) = X2 | zero_zero(real) = X1 | zero_zero(X0) != real_V8093663219630862766scaleR(X0,X1,X2) | ~real_V4867850818363320053vector(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2980])])).
% 59.37/9.99  tff(f37151,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : real] : (zero_zero(X0) = X2 | zero_zero(real) = X1 | zero_zero(X0) != real_V8093663219630862766scaleR(X0,X1,X2) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28287])).
% 59.37/9.99  tff(f28287,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : real,X2 : X0] : ((zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(real) != X1)) & (zero_zero(X0) = X2 | zero_zero(real) = X1 | zero_zero(X0) != real_V8093663219630862766scaleR(X0,X1,X2))) | ~real_V4867850818363320053vector(X0))),
% 59.37/9.99    inference(flattening,[],[f28286])).
% 59.37/9.99  tff(f28286,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : real,X2 : X0] : ((zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,X2) | (zero_zero(X0) != X2 & zero_zero(real) != X1)) & ((zero_zero(X0) = X2 | zero_zero(real) = X1) | zero_zero(X0) != real_V8093663219630862766scaleR(X0,X1,X2))) | ~real_V4867850818363320053vector(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f18945])).
% 59.37/9.99  tff(f18945,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,X2) <=> (zero_zero(X0) = X2 | zero_zero(real) = X1)) | ~real_V4867850818363320053vector(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10957])).
% 59.37/9.99  tff(f10957,plain,(
% 59.37/9.99    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : real,X2 : X0] : (zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,X2) <=> (zero_zero(X0) = X2 | zero_zero(real) = X1)))),
% 59.37/9.99    inference(rectify,[],[f3943])).
% 59.37/9.99  tff(f3943,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X7 : real,X14 : X0] : (zero_zero(X0) = real_V8093663219630862766scaleR(X0,X7,X14) <=> (zero_zero(X0) = X14 | zero_zero(real) = X7)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3942_scaleR__eq__0__iff)).
% 59.37/9.99  tff(f83721,plain,(
% 59.37/9.99    spl2737_2979 | ~spl2737_2978),
% 59.37/9.99    inference(avatar_split_clause,[],[f83717,f83714,f83719])).
% 59.37/9.99  tff(f83719,plain,(
% 59.37/9.99    spl2737_2979 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2979])])).
% 59.37/9.99  tff(f83714,plain,(
% 59.37/9.99    spl2737_2978 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2978])])).
% 59.37/9.99  tff(f83717,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)),X1) = X1 | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_2978),
% 59.37/9.99    inference(forward_demodulation,[],[f83715,f50171])).
% 59.37/9.99  tff(f83715,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_2978),
% 59.37/9.99    inference(avatar_component_clause,[],[f83714])).
% 59.37/9.99  tff(f83716,plain,(
% 59.37/9.99    spl2737_2978),
% 59.37/9.99    inference(avatar_split_clause,[],[f36969,f83714])).
% 59.37/9.99  tff(f36969,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18831])).
% 59.37/9.99  tff(f18831,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1 | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10857])).
% 59.37/9.99  tff(f10857,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X1),zero_zero(X0)) = X1)),
% 59.37/9.99    inference(rectify,[],[f4352])).
% 59.37/9.99  tff(f4352,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X14 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),bit_se1065995026697491101ons_or(X0),X14),zero_zero(X0)) = X14)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4351_bit_Odisj__zero__right)).
% 59.37/9.99  tff(f83710,plain,(
% 59.37/9.99    spl2737_2977 | ~spl2737_2976),
% 59.37/9.99    inference(avatar_split_clause,[],[f83706,f83703,f83708])).
% 59.37/9.99  tff(f83708,plain,(
% 59.37/9.99    spl2737_2977 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2977])])).
% 59.37/9.99  tff(f83703,plain,(
% 59.37/9.99    spl2737_2976 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2976])])).
% 59.37/9.99  tff(f83706,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,combc(X0,X0,X0,bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_2976),
% 59.37/9.99    inference(forward_demodulation,[],[f83704,f50171])).
% 59.37/9.99  tff(f83704,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0)) ) | ~spl2737_2976),
% 59.37/9.99    inference(avatar_component_clause,[],[f83703])).
% 59.37/9.99  tff(f83705,plain,(
% 59.37/9.99    spl2737_2976),
% 59.37/9.99    inference(avatar_split_clause,[],[f36968,f83703])).
% 59.37/9.99  tff(f36968,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18830])).
% 59.37/9.99  tff(f18830,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10856])).
% 59.37/9.99  tff(f10856,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X1),X1))),
% 59.37/9.99    inference(rectify,[],[f3451])).
% 59.37/9.99  tff(f3451,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X14 : X0] : zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),bit_se5824344971392196577ns_xor(X0),X14),X14))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3450_bit_Oxor__self)).
% 59.37/9.99  tff(f83701,plain,(
% 59.37/9.99    spl2737_2975),
% 59.37/9.99    inference(avatar_split_clause,[],[f36960,f83699])).
% 59.37/9.99  tff(f83699,plain,(
% 59.37/9.99    spl2737_2975 <=> ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2975])])).
% 59.37/9.99  tff(f36960,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18822])).
% 59.37/9.99  tff(f18822,plain,(
% 59.37/9.99    ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f3641])).
% 59.37/9.99  tff(f3641,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),zero_zero(X0)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3640_bit_Ocompl__zero)).
% 59.37/9.99  tff(f83697,plain,(
% 59.37/9.99    spl2737_2974),
% 59.37/9.99    inference(avatar_split_clause,[],[f36959,f83695])).
% 59.37/9.99  tff(f83695,plain,(
% 59.37/9.99    spl2737_2974 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2974])])).
% 59.37/9.99  tff(f36959,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18821])).
% 59.37/9.99  tff(f18821,plain,(
% 59.37/9.99    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f3640])).
% 59.37/9.99  tff(f3640,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => zero_zero(X0) = aa(X0,X0,bit_ri4277139882892585799ns_not(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3639_bit_Ocompl__one)).
% 59.37/9.99  tff(f83693,plain,(
% 59.37/9.99    spl2737_2973),
% 59.37/9.99    inference(avatar_split_clause,[],[f36917,f83691])).
% 59.37/9.99  tff(f83691,plain,(
% 59.37/9.99    spl2737_2973 <=> ! [X0 : $tType,X1 : nat] : (aa(nat,real,semiring_1_of_nat(real),X1) = real_V7770717601297561774m_norm(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2973])])).
% 59.37/9.99  tff(f36917,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (aa(nat,real,semiring_1_of_nat(real),X1) = real_V7770717601297561774m_norm(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~real_V2822296259951069270ebra_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18779])).
% 59.37/9.99  tff(f18779,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat] : aa(nat,real,semiring_1_of_nat(real),X1) = real_V7770717601297561774m_norm(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10818])).
% 59.37/9.99  tff(f10818,plain,(
% 59.37/9.99    ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => ! [X1 : nat] : aa(nat,real,semiring_1_of_nat(real),X1) = real_V7770717601297561774m_norm(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f2074])).
% 59.37/9.99  tff(f2074,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => ! [X8 : nat] : aa(nat,real,semiring_1_of_nat(real),X8) = real_V7770717601297561774m_norm(X0,aa(nat,X0,semiring_1_of_nat(X0),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2073_norm__of__nat)).
% 59.37/9.99  tff(f83689,plain,(
% 59.37/9.99    spl2737_2972),
% 59.37/9.99    inference(avatar_split_clause,[],[f36832,f83687])).
% 59.37/9.99  tff(f83687,plain,(
% 59.37/9.99    spl2737_2972 <=> ! [X0 : $tType,X1 : set(X0)] : (gcd_Lcm(X0,X1) = gcd_Gcd(X0,collect(X0,aTP_Lamp_afn(set(X0),fun(X0,bool),X1))) | ~semiring_Gcd(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2972])])).
% 59.37/9.99  tff(f36832,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : set(X0)] : (gcd_Lcm(X0,X1) = gcd_Gcd(X0,collect(X0,aTP_Lamp_afn(set(X0),fun(X0,bool),X1))) | ~semiring_Gcd(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18724])).
% 59.37/9.99  tff(f18724,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : gcd_Lcm(X0,X1) = gcd_Gcd(X0,collect(X0,aTP_Lamp_afn(set(X0),fun(X0,bool),X1))) | ~semiring_Gcd(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10775])).
% 59.37/9.99  tff(f10775,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : gcd_Lcm(X0,X1) = gcd_Gcd(X0,collect(X0,aTP_Lamp_afn(set(X0),fun(X0,bool),X1))))),
% 59.37/9.99    inference(rectify,[],[f7482])).
% 59.37/9.99  tff(f7482,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : gcd_Lcm(X0,X30) = gcd_Gcd(X0,collect(X0,aTP_Lamp_afn(set(X0),fun(X0,bool),X30))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7481_Lcm__Gcd)).
% 59.37/9.99  tff(f83685,plain,(
% 59.37/9.99    spl2737_2971),
% 59.37/9.99    inference(avatar_split_clause,[],[f36831,f83683])).
% 59.37/9.99  tff(f83683,plain,(
% 59.37/9.99    spl2737_2971 <=> ! [X0 : $tType,X1 : set(X0)] : (gcd_Gcd(X0,X1) = gcd_Lcm(X0,collect(X0,aTP_Lamp_afo(set(X0),fun(X0,bool),X1))) | ~semiring_Gcd(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2971])])).
% 59.37/9.99  tff(f36831,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : set(X0)] : (gcd_Gcd(X0,X1) = gcd_Lcm(X0,collect(X0,aTP_Lamp_afo(set(X0),fun(X0,bool),X1))) | ~semiring_Gcd(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18723])).
% 59.37/9.99  tff(f18723,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : gcd_Gcd(X0,X1) = gcd_Lcm(X0,collect(X0,aTP_Lamp_afo(set(X0),fun(X0,bool),X1))) | ~semiring_Gcd(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10774])).
% 59.37/9.99  tff(f10774,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : gcd_Gcd(X0,X1) = gcd_Lcm(X0,collect(X0,aTP_Lamp_afo(set(X0),fun(X0,bool),X1))))),
% 59.37/9.99    inference(rectify,[],[f7483])).
% 59.37/9.99  tff(f7483,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : gcd_Gcd(X0,X30) = gcd_Lcm(X0,collect(X0,aTP_Lamp_afo(set(X0),fun(X0,bool),X30))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7482_Gcd__Lcm)).
% 59.37/9.99  tff(f83681,plain,(
% 59.37/9.99    spl2737_2970),
% 59.37/9.99    inference(avatar_split_clause,[],[f36787,f83679])).
% 59.37/9.99  tff(f83679,plain,(
% 59.37/9.99    spl2737_2970 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),unit_f5069060285200089521factor(X0,X1)) | zero_zero(X0) = X1 | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2970])])).
% 59.37/9.99  tff(f36787,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),unit_f5069060285200089521factor(X0,X1)) | zero_zero(X0) = X1 | ~normal8620421768224518004emidom(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18686])).
% 59.37/9.99  tff(f18686,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),unit_f5069060285200089521factor(X0,X1)) | zero_zero(X0) = X1) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10745])).
% 59.37/9.99  tff(f10745,plain,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),unit_f5069060285200089521factor(X0,X1))))),
% 59.37/9.99    inference(rectify,[],[f7712])).
% 59.37/9.99  tff(f7712,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : (zero_zero(X0) != X7 => one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),unit_f5069060285200089521factor(X0,X7))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7711_normalize__unit__factor)).
% 59.37/9.99  tff(f83677,plain,(
% 59.37/9.99    spl2737_2969),
% 59.37/9.99    inference(avatar_split_clause,[],[f36786,f83675])).
% 59.37/9.99  tff(f83675,plain,(
% 59.37/9.99    spl2737_2969 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = unit_f5069060285200089521factor(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1)) | zero_zero(X0) = X1 | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2969])])).
% 59.37/9.99  tff(f36786,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = unit_f5069060285200089521factor(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1)) | zero_zero(X0) = X1 | ~normal8620421768224518004emidom(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18685])).
% 59.37/9.99  tff(f18685,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : (one_one(X0) = unit_f5069060285200089521factor(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1)) | zero_zero(X0) = X1) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10744])).
% 59.37/9.99  tff(f10744,plain,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = unit_f5069060285200089521factor(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1))))),
% 59.37/9.99    inference(rectify,[],[f7728])).
% 59.37/9.99  tff(f7728,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : (zero_zero(X0) != X7 => one_one(X0) = unit_f5069060285200089521factor(X0,aa(X0,X0,normal6383669964737779283malize(X0),X7))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7727_unit__factor__normalize)).
% 59.37/9.99  tff(f83661,plain,(
% 59.37/9.99    spl2737_2968 | ~spl2737_2967),
% 59.37/9.99    inference(avatar_split_clause,[],[f83657,f83654,f83659])).
% 59.37/9.99  tff(f83659,plain,(
% 59.37/9.99    spl2737_2968 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X1),unit_f5069060285200089521factor(X0,X1))) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2968])])).
% 59.37/9.99  tff(f83654,plain,(
% 59.37/9.99    spl2737_2967 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),unit_f5069060285200089521factor(X0,X1)),X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2967])])).
% 59.37/9.99  tff(f83657,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X1),unit_f5069060285200089521factor(X0,X1))) | ~normal8620421768224518004emidom(X0)) ) | ~spl2737_2967),
% 59.37/9.99    inference(forward_demodulation,[],[f83655,f50171])).
% 59.37/9.99  tff(f83655,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),unit_f5069060285200089521factor(X0,X1)),X1)) | ~normal8620421768224518004emidom(X0)) ) | ~spl2737_2967),
% 59.37/9.99    inference(avatar_component_clause,[],[f83654])).
% 59.37/9.99  tff(f83656,plain,(
% 59.37/9.99    spl2737_2967),
% 59.37/9.99    inference(avatar_split_clause,[],[f36781,f83654])).
% 59.37/9.99  tff(f36781,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),unit_f5069060285200089521factor(X0,X1)),X1)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18680])).
% 59.37/9.99  tff(f18680,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),unit_f5069060285200089521factor(X0,X1)),X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10739])).
% 59.37/9.99  tff(f10739,plain,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),unit_f5069060285200089521factor(X0,X1)),X1)))),
% 59.37/9.99    inference(rectify,[],[f7737])).
% 59.37/9.99  tff(f7737,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),unit_f5069060285200089521factor(X0,X7)),X7)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7736_unit__factor__self)).
% 59.37/9.99  tff(f83652,plain,(
% 59.37/9.99    spl2737_2966),
% 59.37/9.99    inference(avatar_split_clause,[],[f36697,f83650])).
% 59.37/9.99  tff(f83650,plain,(
% 59.37/9.99    spl2737_2966 <=> ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = real_Vector_of_real(X0,aa(nat,real,semiring_1_of_nat(real),X1)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2966])])).
% 59.37/9.99  tff(f36697,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X1) = real_Vector_of_real(X0,aa(nat,real,semiring_1_of_nat(real),X1)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18628])).
% 59.37/9.99  tff(f18628,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = real_Vector_of_real(X0,aa(nat,real,semiring_1_of_nat(real),X1)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10695])).
% 59.37/9.99  tff(f10695,plain,(
% 59.37/9.99    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X1) = real_Vector_of_real(X0,aa(nat,real,semiring_1_of_nat(real),X1)))),
% 59.37/9.99    inference(rectify,[],[f2305])).
% 59.37/9.99  tff(f2305,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X8 : nat] : aa(nat,X0,semiring_1_of_nat(X0),X8) = real_Vector_of_real(X0,aa(nat,real,semiring_1_of_nat(real),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2304_of__real__of__nat__eq)).
% 59.37/9.99  tff(f83648,plain,(
% 59.37/9.99    spl2737_2965),
% 59.37/9.99    inference(avatar_split_clause,[],[f36696,f83646])).
% 59.37/9.99  tff(f83646,plain,(
% 59.37/9.99    spl2737_2965 <=> ! [X0 : $tType,X1 : int] : (aa(int,X0,ring_1_of_int(X0),X1) = real_Vector_of_real(X0,aa(int,real,ring_1_of_int(real),X1)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2965])])).
% 59.37/9.99  tff(f36696,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : int] : (aa(int,X0,ring_1_of_int(X0),X1) = real_Vector_of_real(X0,aa(int,real,ring_1_of_int(real),X1)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18627])).
% 59.37/9.99  tff(f18627,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : int] : aa(int,X0,ring_1_of_int(X0),X1) = real_Vector_of_real(X0,aa(int,real,ring_1_of_int(real),X1)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10694])).
% 59.37/9.99  tff(f10694,plain,(
% 59.37/9.99    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : int] : aa(int,X0,ring_1_of_int(X0),X1) = real_Vector_of_real(X0,aa(int,real,ring_1_of_int(real),X1)))),
% 59.37/9.99    inference(rectify,[],[f2308])).
% 59.37/9.99  tff(f2308,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X60 : int] : aa(int,X0,ring_1_of_int(X0),X60) = real_Vector_of_real(X0,aa(int,real,ring_1_of_int(real),X60)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2307_of__real__of__int__eq)).
% 59.37/9.99  tff(f83644,plain,(
% 59.37/9.99    spl2737_2964),
% 59.37/9.99    inference(avatar_split_clause,[],[f36354,f83642])).
% 59.37/9.99  tff(f83642,plain,(
% 59.37/9.99    spl2737_2964 <=> ! [X0 : set(nat)] : (aa(set(nat),nat,complete_Sup_Sup(nat),X0) = lattic643756798349783984er_Max(nat,X0) | bot_bot(set(nat)) = X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2964])])).
% 59.37/9.99  tff(f36354,plain,(
% 59.37/9.99    ( ! [X0 : set(nat)] : (aa(set(nat),nat,complete_Sup_Sup(nat),X0) = lattic643756798349783984er_Max(nat,X0) | bot_bot(set(nat)) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18403])).
% 59.37/9.99  tff(f18403,plain,(
% 59.37/9.99    ! [X0 : set(nat)] : ((aa(set(nat),nat,complete_Sup_Sup(nat),X0) = lattic643756798349783984er_Max(nat,X0) | bot_bot(set(nat)) = X0) & (zero_zero(nat) = aa(set(nat),nat,complete_Sup_Sup(nat),X0) | bot_bot(set(nat)) != X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10497])).
% 59.37/9.99  tff(f10497,plain,(
% 59.37/9.99    ! [X0 : set(nat)] : ((bot_bot(set(nat)) != X0 => aa(set(nat),nat,complete_Sup_Sup(nat),X0) = lattic643756798349783984er_Max(nat,X0)) & (bot_bot(set(nat)) = X0 => zero_zero(nat) = aa(set(nat),nat,complete_Sup_Sup(nat),X0)))),
% 59.37/9.99    inference(rectify,[],[f6378])).
% 59.37/9.99  tff(f6378,axiom,(
% 59.37/9.99    ! [X148 : set(nat)] : ((bot_bot(set(nat)) != X148 => aa(set(nat),nat,complete_Sup_Sup(nat),X148) = lattic643756798349783984er_Max(nat,X148)) & (bot_bot(set(nat)) = X148 => zero_zero(nat) = aa(set(nat),nat,complete_Sup_Sup(nat),X148)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6377_Sup__nat__def)).
% 59.37/9.99  tff(f83610,plain,(
% 59.37/9.99    spl2737_2963 | ~spl2737_2962),
% 59.37/9.99    inference(avatar_split_clause,[],[f83606,f83603,f83608])).
% 59.37/9.99  tff(f83603,plain,(
% 59.37/9.99    spl2737_2962 <=> ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,suc,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2962])])).
% 59.37/9.99  tff(f83606,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),aa(nat,nat,suc,X0)),X0))) ) | ~spl2737_2962),
% 59.37/9.99    inference(forward_demodulation,[],[f83604,f50171])).
% 59.37/9.99  tff(f83604,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,suc,X0)))) ) | ~spl2737_2962),
% 59.37/9.99    inference(avatar_component_clause,[],[f83603])).
% 59.37/9.99  tff(f83605,plain,(
% 59.37/9.99    spl2737_2962),
% 59.37/9.99    inference(avatar_split_clause,[],[f36012,f83603])).
% 59.37/9.99  tff(f36012,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,suc,X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10172])).
% 59.37/9.99  tff(f10172,plain,(
% 59.37/9.99    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),aa(nat,nat,suc,X0)))),
% 59.37/9.99    inference(rectify,[],[f16])).
% 59.37/9.99  tff(f16,axiom,(
% 59.37/9.99    ! [X8 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),aa(nat,nat,suc,X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_lessI)).
% 59.37/9.99  tff(f83601,plain,(
% 59.37/9.99    spl2737_2961),
% 59.37/9.99    inference(avatar_split_clause,[],[f36011,f83599])).
% 59.37/9.99  tff(f83599,plain,(
% 59.37/9.99    spl2737_2961 <=> ! [X0 : product_prod(nat,nat)] : aa(nat,product_prod(nat,nat),nat_prod_decode,aa(product_prod(nat,nat),nat,nat_prod_encode,X0)) = X0),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2961])])).
% 59.37/9.99  tff(f36011,plain,(
% 59.37/9.99    ( ! [X0 : product_prod(nat,nat)] : (aa(nat,product_prod(nat,nat),nat_prod_decode,aa(product_prod(nat,nat),nat,nat_prod_encode,X0)) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10171])).
% 59.37/9.99  tff(f10171,plain,(
% 59.37/9.99    ! [X0 : product_prod(nat,nat)] : aa(nat,product_prod(nat,nat),nat_prod_decode,aa(product_prod(nat,nat),nat,nat_prod_encode,X0)) = X0),
% 59.37/9.99    inference(rectify,[],[f7116])).
% 59.37/9.99  tff(f7116,axiom,(
% 59.37/9.99    ! [X14 : product_prod(nat,nat)] : aa(nat,product_prod(nat,nat),nat_prod_decode,aa(product_prod(nat,nat),nat,nat_prod_encode,X14)) = X14),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7115_prod__encode__inverse)).
% 59.37/9.99  tff(f83597,plain,(
% 59.37/9.99    spl2737_2960),
% 59.37/9.99    inference(avatar_split_clause,[],[f36010,f83595])).
% 59.37/9.99  tff(f83595,plain,(
% 59.37/9.99    spl2737_2960 <=> ! [X0 : sum_sum(nat,nat)] : aa(nat,sum_sum(nat,nat),nat_sum_decode,aa(sum_sum(nat,nat),nat,nat_sum_encode,X0)) = X0),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2960])])).
% 59.37/9.99  tff(f36010,plain,(
% 59.37/9.99    ( ! [X0 : sum_sum(nat,nat)] : (aa(nat,sum_sum(nat,nat),nat_sum_decode,aa(sum_sum(nat,nat),nat,nat_sum_encode,X0)) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10170])).
% 59.37/9.99  tff(f10170,plain,(
% 59.37/9.99    ! [X0 : sum_sum(nat,nat)] : aa(nat,sum_sum(nat,nat),nat_sum_decode,aa(sum_sum(nat,nat),nat,nat_sum_encode,X0)) = X0),
% 59.37/9.99    inference(rectify,[],[f8090])).
% 59.37/9.99  tff(f8090,axiom,(
% 59.37/9.99    ! [X14 : sum_sum(nat,nat)] : aa(nat,sum_sum(nat,nat),nat_sum_decode,aa(sum_sum(nat,nat),nat,nat_sum_encode,X14)) = X14),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8089_sum__encode__inverse)).
% 59.37/9.99  tff(f83593,plain,(
% 59.37/9.99    spl2737_2959),
% 59.37/9.99    inference(avatar_split_clause,[],[f36008,f83591])).
% 59.37/9.99  tff(f83591,plain,(
% 59.37/9.99    spl2737_2959 <=> ! [X0 : bool] : aa(int,nat,nat2,aa(bool,int,zero_neq_one_of_bool(int),X0)) = aa(bool,nat,zero_neq_one_of_bool(nat),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2959])])).
% 59.37/9.99  tff(f36008,plain,(
% 59.37/9.99    ( ! [X0 : bool] : (aa(int,nat,nat2,aa(bool,int,zero_neq_one_of_bool(int),X0)) = aa(bool,nat,zero_neq_one_of_bool(nat),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10168])).
% 59.37/9.99  tff(f10168,plain,(
% 59.37/9.99    ! [X0 : bool] : aa(int,nat,nat2,aa(bool,int,zero_neq_one_of_bool(int),X0)) = aa(bool,nat,zero_neq_one_of_bool(nat),X0)),
% 59.37/9.99    inference(rectify,[],[f3175])).
% 59.37/9.99  tff(f3175,axiom,(
% 59.37/9.99    ! [X17 : bool] : aa(int,nat,nat2,aa(bool,int,zero_neq_one_of_bool(int),X17)) = aa(bool,nat,zero_neq_one_of_bool(nat),X17)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3174_nat__of__bool)).
% 59.37/9.99  tff(f83589,plain,(
% 59.37/9.99    spl2737_2958),
% 59.37/9.99    inference(avatar_split_clause,[],[f36006,f83587])).
% 59.37/9.99  tff(f83587,plain,(
% 59.37/9.99    spl2737_2958 <=> ! [X0 : set(int)] : gcd_Lcm(nat,image(int,nat,aTP_Lamp_ml(int,nat),X0)) = aa(int,nat,nat2,gcd_Lcm(int,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2958])])).
% 59.37/9.99  tff(f36006,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Lcm(nat,image(int,nat,aTP_Lamp_ml(int,nat),X0)) = aa(int,nat,nat2,gcd_Lcm(int,X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10166])).
% 59.37/9.99  tff(f10166,plain,(
% 59.37/9.99    ! [X0 : set(int)] : gcd_Lcm(nat,image(int,nat,aTP_Lamp_ml(int,nat),X0)) = aa(int,nat,nat2,gcd_Lcm(int,X0))),
% 59.37/9.99    inference(rectify,[],[f7492])).
% 59.37/9.99  tff(f7492,axiom,(
% 59.37/9.99    ! [X161 : set(int)] : gcd_Lcm(nat,image(int,nat,aTP_Lamp_ml(int,nat),X161)) = aa(int,nat,nat2,gcd_Lcm(int,X161))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7491_Lcm__nat__abs__eq)).
% 59.37/9.99  tff(f83585,plain,(
% 59.37/9.99    spl2737_2957),
% 59.37/9.99    inference(avatar_split_clause,[],[f36005,f83583])).
% 59.37/9.99  tff(f83583,plain,(
% 59.37/9.99    spl2737_2957 <=> ! [X0 : set(int)] : gcd_Gcd(nat,image(int,nat,aTP_Lamp_ml(int,nat),X0)) = aa(int,nat,nat2,gcd_Gcd(int,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2957])])).
% 59.37/9.99  tff(f36005,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Gcd(nat,image(int,nat,aTP_Lamp_ml(int,nat),X0)) = aa(int,nat,nat2,gcd_Gcd(int,X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10165])).
% 59.37/9.99  tff(f10165,plain,(
% 59.37/9.99    ! [X0 : set(int)] : gcd_Gcd(nat,image(int,nat,aTP_Lamp_ml(int,nat),X0)) = aa(int,nat,nat2,gcd_Gcd(int,X0))),
% 59.37/9.99    inference(rectify,[],[f4970])).
% 59.37/9.99  tff(f4970,axiom,(
% 59.37/9.99    ! [X161 : set(int)] : gcd_Gcd(nat,image(int,nat,aTP_Lamp_ml(int,nat),X161)) = aa(int,nat,nat2,gcd_Gcd(int,X161))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4969_Gcd__nat__abs__eq)).
% 59.37/9.99  tff(f83581,plain,(
% 59.37/9.99    spl2737_2956),
% 59.37/9.99    inference(avatar_split_clause,[],[f36002,f83579])).
% 59.37/9.99  tff(f83579,plain,(
% 59.37/9.99    spl2737_2956 <=> ! [X0 : set(real)] : aa(set(real),real,complete_Sup_Sup(real),X0) = ord_Least(real,aTP_Lamp_aax(set(real),fun(real,bool),X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2956])])).
% 59.37/9.99  tff(f36002,plain,(
% 59.37/9.99    ( ! [X0 : set(real)] : (aa(set(real),real,complete_Sup_Sup(real),X0) = ord_Least(real,aTP_Lamp_aax(set(real),fun(real,bool),X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10162])).
% 59.37/9.99  tff(f10162,plain,(
% 59.37/9.99    ! [X0 : set(real)] : aa(set(real),real,complete_Sup_Sup(real),X0) = ord_Least(real,aTP_Lamp_aax(set(real),fun(real,bool),X0))),
% 59.37/9.99    inference(rectify,[],[f6541])).
% 59.37/9.99  tff(f6541,axiom,(
% 59.37/9.99    ! [X148 : set(real)] : aa(set(real),real,complete_Sup_Sup(real),X148) = ord_Least(real,aTP_Lamp_aax(set(real),fun(real,bool),X148))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6540_Sup__real__def)).
% 59.37/9.99  tff(f83577,plain,(
% 59.37/9.99    spl2737_2955),
% 59.37/9.99    inference(avatar_split_clause,[],[f35999,f83575])).
% 59.37/9.99  tff(f83575,plain,(
% 59.37/9.99    spl2737_2955 <=> ! [X0 : rat] : aa(rat,int,archim6421214686448440834_floor(rat),X0) = aa(real,int,archim6421214686448440834_floor(real),aa(rat,real,ratreal,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2955])])).
% 59.37/9.99  tff(f35999,plain,(
% 59.37/9.99    ( ! [X0 : rat] : (aa(rat,int,archim6421214686448440834_floor(rat),X0) = aa(real,int,archim6421214686448440834_floor(real),aa(rat,real,ratreal,X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10159])).
% 59.37/9.99  tff(f10159,plain,(
% 59.37/9.99    ! [X0 : rat] : aa(rat,int,archim6421214686448440834_floor(rat),X0) = aa(real,int,archim6421214686448440834_floor(real),aa(rat,real,ratreal,X0))),
% 59.37/9.99    inference(rectify,[],[f7797])).
% 59.37/9.99  tff(f7797,axiom,(
% 59.37/9.99    ! [X14 : rat] : aa(rat,int,archim6421214686448440834_floor(rat),X14) = aa(real,int,archim6421214686448440834_floor(real),aa(rat,real,ratreal,X14))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7796_real__floor__code)).
% 59.37/9.99  tff(f83565,plain,(
% 59.37/9.99    spl2737_2954 | ~spl2737_2953),
% 59.37/9.99    inference(avatar_split_clause,[],[f83561,f83558,f83563])).
% 59.37/9.99  tff(f83563,plain,(
% 59.37/9.99    spl2737_2954 <=> ! [X0 : nat] : ~pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),aa(nat,nat,suc,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2954])])).
% 59.37/9.99  tff(f83558,plain,(
% 59.37/9.99    spl2737_2953 <=> ! [X0 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2953])])).
% 59.37/9.99  tff(f83561,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),aa(nat,nat,suc,X0)))) ) | ~spl2737_2953),
% 59.37/9.99    inference(forward_demodulation,[],[f83559,f50171])).
% 59.37/9.99  tff(f83559,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))) ) | ~spl2737_2953),
% 59.37/9.99    inference(avatar_component_clause,[],[f83558])).
% 59.37/9.99  tff(f83560,plain,(
% 59.37/9.99    spl2737_2953),
% 59.37/9.99    inference(avatar_split_clause,[],[f35997,f83558])).
% 59.37/9.99  tff(f35997,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10157])).
% 59.37/9.99  tff(f10157,plain,(
% 59.37/9.99    ! [X0 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X0)),X0))),
% 59.37/9.99    inference(rectify,[],[f597])).
% 59.37/9.99  tff(f597,axiom,(
% 59.37/9.99    ! [X8 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X8)),X8))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_596_Suc__n__not__le__n)).
% 59.37/9.99  tff(f83556,plain,(
% 59.37/9.99    spl2737_2952),
% 59.37/9.99    inference(avatar_split_clause,[],[f35552,f83553])).
% 59.37/9.99  tff(f35552,plain,(
% 59.37/9.99    pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aaj(nat,rat)),zero_zero(real)))),
% 59.37/9.99    inference(cnf_transformation,[],[f6480])).
% 59.37/9.99  tff(f6480,axiom,(
% 59.37/9.99    pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,aTP_Lamp_aaj(nat,rat)),zero_zero(real)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6479_zero__real_Otransfer)).
% 59.37/9.99  tff(f83551,plain,(
% 59.37/9.99    spl2737_2951),
% 59.37/9.99    inference(avatar_split_clause,[],[f35548,f83548])).
% 59.37/9.99  tff(f83548,plain,(
% 59.37/9.99    spl2737_2951 <=> topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))) = filtermap(real,real,inverse_inverse(real),at_top(real))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2951])])).
% 59.37/9.99  tff(f35548,plain,(
% 59.37/9.99    topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))) = filtermap(real,real,inverse_inverse(real),at_top(real))),
% 59.37/9.99    inference(cnf_transformation,[],[f7219])).
% 59.37/9.99  tff(f7219,axiom,(
% 59.37/9.99    topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))) = filtermap(real,real,inverse_inverse(real),at_top(real))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7218_at__right__to__top)).
% 59.37/9.99  tff(f83546,plain,(
% 59.37/9.99    spl2737_2950),
% 59.37/9.99    inference(avatar_split_clause,[],[f35547,f83543])).
% 59.37/9.99  tff(f83543,plain,(
% 59.37/9.99    spl2737_2950 <=> zero_zero(code_natural) = aa(code_natural,code_natural,aa(code_natural,fun(code_natural,code_natural),minus_minus(code_natural),zero_zero(code_natural)),one_one(code_natural))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2950])])).
% 59.37/9.99  tff(f35547,plain,(
% 59.37/9.99    zero_zero(code_natural) = aa(code_natural,code_natural,aa(code_natural,fun(code_natural,code_natural),minus_minus(code_natural),zero_zero(code_natural)),one_one(code_natural))),
% 59.37/9.99    inference(cnf_transformation,[],[f7916])).
% 59.37/9.99  tff(f7916,axiom,(
% 59.37/9.99    zero_zero(code_natural) = aa(code_natural,code_natural,aa(code_natural,fun(code_natural,code_natural),minus_minus(code_natural),zero_zero(code_natural)),one_one(code_natural))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7915_natural__zero__minus__one)).
% 59.37/9.99  tff(f83541,plain,(
% 59.37/9.99    spl2737_2949 | ~spl2737_2948),
% 59.37/9.99    inference(avatar_split_clause,[],[f83536,f83532,f83538])).
% 59.37/9.99  tff(f83538,plain,(
% 59.37/9.99    spl2737_2949 <=> at_top(real) = filtermap(real,real,inverse_inverse(real),filtermap(real,real,inverse_inverse(real),at_top(real)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2949])])).
% 59.37/9.99  tff(f83532,plain,(
% 59.37/9.99    spl2737_2948 <=> at_top(real) = filtermap(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2948])])).
% 59.37/9.99  tff(f83536,plain,(
% 59.37/9.99    at_top(real) = filtermap(real,real,inverse_inverse(real),filtermap(real,real,inverse_inverse(real),at_top(real))) | ~spl2737_2948),
% 59.37/9.99    inference(forward_demodulation,[],[f83534,f35548])).
% 59.37/9.99  tff(f83534,plain,(
% 59.37/9.99    at_top(real) = filtermap(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real)))) | ~spl2737_2948),
% 59.37/9.99    inference(avatar_component_clause,[],[f83532])).
% 59.37/9.99  tff(f83535,plain,(
% 59.37/9.99    spl2737_2948),
% 59.37/9.99    inference(avatar_split_clause,[],[f35546,f83532])).
% 59.37/9.99  tff(f35546,plain,(
% 59.37/9.99    at_top(real) = filtermap(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))))),
% 59.37/9.99    inference(cnf_transformation,[],[f7189])).
% 59.37/9.99  tff(f7189,axiom,(
% 59.37/9.99    at_top(real) = filtermap(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7188_at__top__to__right)).
% 59.37/9.99  tff(f82655,plain,(
% 59.37/9.99    spl2737_2947 | ~spl2737_2767),
% 59.37/9.99    inference(avatar_split_clause,[],[f81426,f81422,f82652])).
% 59.37/9.99  tff(f82652,plain,(
% 59.37/9.99    spl2737_2947 <=> one_one(rat) = frct(aa(int,product_prod(int,int),aTP_Lamp_ol(int,product_prod(int,int)),one_one(int)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2947])])).
% 59.37/9.99  tff(f81422,plain,(
% 59.37/9.99    spl2737_2767 <=> one_one(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,one_one(int)),one_one(int)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2767])])).
% 59.37/9.99  tff(f81426,plain,(
% 59.37/9.99    one_one(rat) = frct(aa(int,product_prod(int,int),aTP_Lamp_ol(int,product_prod(int,int)),one_one(int))) | ~spl2737_2767),
% 59.37/9.99    inference(forward_demodulation,[],[f81424,f43663])).
% 59.37/9.99  tff(f43663,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,product_prod(X0,X0),aTP_Lamp_ol(X0,product_prod(X0,X0)),X1) = aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f14846])).
% 59.37/9.99  tff(f14846,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0] : aa(X0,product_prod(X0,X0),aTP_Lamp_ol(X0,product_prod(X0,X0)),X1) = aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X1)),
% 59.37/9.99    inference(rectify,[],[f8135])).
% 59.37/9.99  tff(f8135,axiom,(
% 59.37/9.99    ! [X0 : $tType,X94 : X0] : aa(X0,product_prod(X0,X0),aTP_Lamp_ol(X0,product_prod(X0,X0)),X94) = aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X94),X94)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8134_ATP_Olambda__19)).
% 59.37/9.99  tff(f81424,plain,(
% 59.37/9.99    one_one(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,one_one(int)),one_one(int))) | ~spl2737_2767),
% 59.37/9.99    inference(avatar_component_clause,[],[f81422])).
% 59.37/9.99  tff(f82650,plain,(
% 59.37/9.99    spl2737_2946),
% 59.37/9.99    inference(avatar_split_clause,[],[f63598,f82648])).
% 59.37/9.99  tff(f82648,plain,(
% 59.37/9.99    spl2737_2946 <=> ! [X0 : $tType,X3 : fun(X0,fun(X0,bool)),X5 : X0,X2 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0))] : (~pp(aa(X0,bool,combc(X0,X0,bool,X3,X5),X5)) | ~semilattice_order(X0,X1,X2,X3))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2946])])).
% 59.37/9.99  tff(f63598,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X5 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,X3,X5),X5)) | ~semilattice_order(X0,X1,X2,X3)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53904,f50171])).
% 59.37/9.99  tff(f53904,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X5),X5)) | ~semilattice_order(X0,X1,X2,X3)) )),
% 59.37/9.99    inference(equality_resolution,[],[f50240])).
% 59.37/9.99  tff(f50240,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X4 : X0,X5 : X0] : (X4 != X5 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X4),X5)) | ~semilattice_order(X0,X1,X2,X3)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f34420])).
% 59.37/9.99  tff(f34420,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X4 : X0,X5 : X0] : (((pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X4),X5)) | X4 = X5 | aa(X0,X0,aa(X0,fun(X0,X0),X1,X4),X5) != X4) & ((X4 != X5 & aa(X0,X0,aa(X0,fun(X0,X0),X1,X4),X5) = X4) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X4),X5)))) | ~semilattice_order(X0,X1,X2,X3))),
% 59.37/9.99    inference(flattening,[],[f34419])).
% 59.37/9.99  tff(f34419,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X4 : X0,X5 : X0] : (((pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X4),X5)) | (X4 = X5 | aa(X0,X0,aa(X0,fun(X0,X0),X1,X4),X5) != X4)) & ((X4 != X5 & aa(X0,X0,aa(X0,fun(X0,X0),X1,X4),X5) = X4) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X4),X5)))) | ~semilattice_order(X0,X1,X2,X3))),
% 59.37/9.99    inference(nnf_transformation,[],[f26930])).
% 59.37/9.99  tff(f26930,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X4 : X0,X5 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X4),X5)) <=> (X4 != X5 & aa(X0,X0,aa(X0,fun(X0,X0),X1,X4),X5) = X4)) | ~semilattice_order(X0,X1,X2,X3))),
% 59.37/9.99    inference(ennf_transformation,[],[f18234])).
% 59.37/9.99  tff(f18234,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X4 : X0,X5 : X0] : (semilattice_order(X0,X1,X2,X3) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),X3,X4),X5)) <=> (X4 != X5 & aa(X0,X0,aa(X0,fun(X0,X0),X1,X4),X5) = X4)))),
% 59.37/9.99    inference(rectify,[],[f7892])).
% 59.37/9.99  tff(f7892,axiom,(
% 59.37/9.99    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X235 : fun(X0,fun(X0,bool)),X236 : fun(X0,fun(X0,bool)),X7 : X0,X49 : X0] : (semilattice_order(X0,X32,X235,X236) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),X236,X7),X49)) <=> (X7 != X49 & aa(X0,X0,aa(X0,fun(X0,X0),X32,X7),X49) = X7)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7891_semilattice__order_Ostrict__order__iff)).
% 59.37/9.99  tff(f82645,plain,(
% 59.37/9.99    spl2737_2945),
% 59.37/9.99    inference(avatar_split_clause,[],[f62185,f82643])).
% 59.37/9.99  tff(f82643,plain,(
% 59.37/9.99    spl2737_2945 <=> ! [X0 : fun(nat,bool),X1 : nat] : (~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,size_num(one2)))) | pp(aa(nat,bool,X0,X1)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2945])])).
% 59.37/9.99  tff(f62185,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,bool),X1 : nat] : (~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,size_num(one2)))) | pp(aa(nat,bool,X0,X1))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53628,f35397])).
% 59.37/9.99  tff(f53628,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,zero_zero(nat))))) )),
% 59.37/9.99    inference(equality_resolution,[],[f48544])).
% 59.37/9.99  tff(f48544,plain,(
% 59.37/9.99    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | zero_zero(nat) != X2 | ~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33362])).
% 59.37/9.99  tff(f82641,plain,(
% 59.37/9.99    spl2737_2944),
% 59.37/9.99    inference(avatar_split_clause,[],[f61940,f82639])).
% 59.37/9.99  tff(f82639,plain,(
% 59.37/9.99    spl2737_2944 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),size_num(one2),sK2236(X1),sK2237(X1)) = X1 | ~sP441(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2944])])).
% 59.37/9.99  tff(f61940,plain,(
% 59.37/9.99    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),size_num(one2),sK2236(X1),sK2237(X1)) = X1 | ~sP441(X0,X1)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f48170,f35397])).
% 59.37/9.99  tff(f48170,plain,(
% 59.37/9.99    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2236(X1),sK2237(X1)) = X1 | ~sP441(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32992])).
% 59.37/9.99  tff(f32992,plain,(
% 59.37/9.99    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2236(X1),sK2237(X1)) = X1) | ~sP441(X0,X1))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2236,sK2237])],[f32990,f32991])).
% 59.37/9.99  tff(f32991,plain,(
% 59.37/9.99    ! [X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X2,X3) = X1 => vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2236(X1),sK2237(X1)) = X1)),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f32990,plain,(
% 59.37/9.99    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X2,X3) = X1) | ~sP441(X0,X1))),
% 59.37/9.99    inference(rectify,[],[f32989])).
% 59.37/9.99  tff(f32989,plain,(
% 59.37/9.99    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6) = X0) | ~sP441(X2,X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f27745])).
% 59.37/9.99  tff(f27745,plain,(
% 59.37/9.99    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6) = X0) | ~sP441(X2,X0))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP441])])).
% 59.37/9.99  tff(f82637,plain,(
% 59.37/9.99    spl2737_2943),
% 59.37/9.99    inference(avatar_split_clause,[],[f60483,f82635])).
% 59.37/9.99  tff(f82635,plain,(
% 59.37/9.99    spl2737_2943 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP362(X1,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2943])])).
% 59.37/9.99  tff(f60483,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (one_one(nat) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP362(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60482,f54053])).
% 59.37/9.99  tff(f60482,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP362(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60481,f35397])).
% 59.37/9.99  tff(f60481,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP362(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f46824,f43624])).
% 59.37/9.99  tff(f43624,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X0),X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f14807])).
% 59.37/9.99  tff(f14807,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X0),X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X1),X0)),
% 59.37/9.99    inference(rectify,[],[f8329])).
% 59.37/9.99  tff(f8329,axiom,(
% 59.37/9.99    ! [X94 : nat,X353 : nat] : aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X94),X353) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X353),X94)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8328_ATP_Olambda__213)).
% 59.37/9.99  tff(f46824,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (sP362(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32317])).
% 59.37/9.99  tff(f32317,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP362(X1,X0)) & (sP362(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)))),
% 59.37/9.99    inference(nnf_transformation,[],[f27637])).
% 59.37/9.99  tff(f27637,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> sP362(X1,X0))),
% 59.37/9.99    inference(definition_folding,[],[f16634,f27636])).
% 59.37/9.99  tff(f27636,plain,(
% 59.37/9.99    ! [X1 : nat,X0 : nat] : (sP362(X1,X0) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP362])])).
% 59.37/9.99  tff(f16634,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)))),
% 59.37/9.99    inference(rectify,[],[f227])).
% 59.37/9.99  tff(f227,axiom,(
% 59.37/9.99    ! [X9 : nat,X8 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),X8) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X8 & zero_zero(nat) = X9) | (zero_zero(nat) = X8 & aa(nat,nat,suc,zero_zero(nat)) = X9)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_add__is__1)).
% 59.37/9.99  tff(f82633,plain,(
% 59.37/9.99    spl2737_2942),
% 59.37/9.99    inference(avatar_split_clause,[],[f60480,f82631])).
% 59.37/9.99  tff(f82631,plain,(
% 59.37/9.99    spl2737_2942 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP362(X1,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2942])])).
% 59.37/9.99  tff(f60480,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP362(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60479,f54053])).
% 59.37/9.99  tff(f60479,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP362(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60478,f35397])).
% 59.37/9.99  tff(f60478,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP362(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f46825,f43624])).
% 59.37/9.99  tff(f46825,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP362(X1,X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32317])).
% 59.37/9.99  tff(f82629,plain,(
% 59.37/9.99    spl2737_2941),
% 59.37/9.99    inference(avatar_split_clause,[],[f60461,f82627])).
% 59.37/9.99  tff(f82627,plain,(
% 59.37/9.99    spl2737_2941 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP361(X1,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2941])])).
% 59.37/9.99  tff(f60461,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (one_one(nat) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP361(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60460,f54053])).
% 59.37/9.99  tff(f60460,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP361(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60459,f35397])).
% 59.37/9.99  tff(f60459,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | sP361(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f46816,f43624])).
% 59.37/9.99  tff(f46816,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (sP361(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32313])).
% 59.37/9.99  tff(f32313,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP361(X1,X0)) & (sP361(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)))),
% 59.37/9.99    inference(nnf_transformation,[],[f27635])).
% 59.37/9.99  tff(f27635,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> sP361(X1,X0))),
% 59.37/9.99    inference(definition_folding,[],[f16633,f27634])).
% 59.37/9.99  tff(f27634,plain,(
% 59.37/9.99    ! [X1 : nat,X0 : nat] : (sP361(X1,X0) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP361])])).
% 59.37/9.99  tff(f16633,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)))),
% 59.37/9.99    inference(rectify,[],[f226])).
% 59.37/9.99  tff(f226,axiom,(
% 59.37/9.99    ! [X9 : nat,X8 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),X8) <=> ((aa(nat,nat,suc,zero_zero(nat)) = X8 & zero_zero(nat) = X9) | (zero_zero(nat) = X8 & aa(nat,nat,suc,zero_zero(nat)) = X9)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_one__is__add)).
% 59.37/9.99  tff(f82625,plain,(
% 59.37/9.99    spl2737_2940),
% 59.37/9.99    inference(avatar_split_clause,[],[f60458,f82623])).
% 59.37/9.99  tff(f82623,plain,(
% 59.37/9.99    spl2737_2940 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP361(X1,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2940])])).
% 59.37/9.99  tff(f60458,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP361(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60457,f54053])).
% 59.37/9.99  tff(f60457,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP361(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60456,f35397])).
% 59.37/9.99  tff(f60456,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aTP_Lamp_nl(nat,fun(nat,nat),X1),X0) | ~sP361(X1,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f46817,f43624])).
% 59.37/9.99  tff(f46817,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1) | ~sP361(X1,X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32313])).
% 59.37/9.99  tff(f82621,plain,(
% 59.37/9.99    spl2737_2939),
% 59.37/9.99    inference(avatar_split_clause,[],[f60434,f82619])).
% 59.37/9.99  tff(f82619,plain,(
% 59.37/9.99    spl2737_2939 <=> ! [X0 : nat] : one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),size_num(one2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2939])])).
% 59.37/9.99  tff(f60434,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),size_num(one2))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f60433,f54053])).
% 59.37/9.99  tff(f60433,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,size_num(one2)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),size_num(one2))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53430,f35397])).
% 59.37/9.99  tff(f53430,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),zero_zero(nat))) )),
% 59.37/9.99    inference(equality_resolution,[],[f46808])).
% 59.37/9.99  tff(f46808,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) | zero_zero(nat) != X1) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32309])).
% 59.37/9.99  tff(f32309,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) | (aa(nat,nat,suc,zero_zero(nat)) != X0 & zero_zero(nat) != X1)) & (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X1 | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1)))),
% 59.37/9.99    inference(flattening,[],[f32308])).
% 59.37/9.99  tff(f32308,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) | (aa(nat,nat,suc,zero_zero(nat)) != X0 & zero_zero(nat) != X1)) & ((aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X1) | aa(nat,nat,suc,zero_zero(nat)) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1)))),
% 59.37/9.99    inference(nnf_transformation,[],[f16632])).
% 59.37/9.99  tff(f16632,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X0),X1) <=> (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X1))),
% 59.37/9.99    inference(rectify,[],[f1556])).
% 59.37/9.99  tff(f1556,axiom,(
% 59.37/9.99    ! [X14 : nat,X9 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),X14),X9) <=> (aa(nat,nat,suc,zero_zero(nat)) = X14 | zero_zero(nat) = X9))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1555_nat__power__eq__Suc__0__iff)).
% 59.37/9.99  tff(f82617,plain,(
% 59.37/9.99    spl2737_2938),
% 59.37/9.99    inference(avatar_split_clause,[],[f60322,f82615])).
% 59.37/9.99  tff(f82615,plain,(
% 59.37/9.99    spl2737_2938 <=> ! [X1 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),size_num(one2)),X1)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2938])])).
% 59.37/9.99  tff(f60322,plain,(
% 59.37/9.99    ( ! [X1 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),size_num(one2)),X1)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53398,f35397])).
% 59.37/9.99  tff(f53398,plain,(
% 59.37/9.99    ( ! [X1 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),zero_zero(nat)),X1)) )),
% 59.37/9.99    inference(equality_resolution,[],[f46650])).
% 59.37/9.99  tff(f46650,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) | zero_zero(nat) != X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32219])).
% 59.37/9.99  tff(f32219,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) | (zero_zero(nat) != X1 & zero_zero(nat) != X0)) & (zero_zero(nat) = X1 | zero_zero(nat) = X0 | zero_zero(nat) != aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1)))),
% 59.37/9.99    inference(flattening,[],[f32218])).
% 59.37/9.99  tff(f32218,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) | (zero_zero(nat) != X1 & zero_zero(nat) != X0)) & ((zero_zero(nat) = X1 | zero_zero(nat) = X0) | zero_zero(nat) != aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1)))),
% 59.37/9.99    inference(nnf_transformation,[],[f16574])).
% 59.37/9.99  tff(f16574,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) <=> (zero_zero(nat) = X1 | zero_zero(nat) = X0))),
% 59.37/9.99    inference(rectify,[],[f7587])).
% 59.37/9.99  tff(f7587,axiom,(
% 59.37/9.99    ! [X9 : nat,X8 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X9),X8) <=> (zero_zero(nat) = X8 | zero_zero(nat) = X9))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7586_lcm__0__iff__nat)).
% 59.37/9.99  tff(f82613,plain,(
% 59.37/9.99    spl2737_2937),
% 59.37/9.99    inference(avatar_split_clause,[],[f60321,f82611])).
% 59.37/9.99  tff(f82611,plain,(
% 59.37/9.99    spl2737_2937 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),size_num(one2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2937])])).
% 59.37/9.99  tff(f60321,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),size_num(one2))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53397,f35397])).
% 59.37/9.99  tff(f53397,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),zero_zero(nat))) )),
% 59.37/9.99    inference(equality_resolution,[],[f46651])).
% 59.37/9.99  tff(f46651,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X1) | zero_zero(nat) != X1) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32219])).
% 59.37/9.99  tff(f82609,plain,(
% 59.37/9.99    spl2737_2936),
% 59.37/9.99    inference(avatar_split_clause,[],[f60310,f82607])).
% 59.37/9.99  tff(f82607,plain,(
% 59.37/9.99    spl2737_2936 <=> ! [X0 : nat,X1 : nat] : (~algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),aa(nat,int,code_T6385005292777649522of_nat,X1)) | algebr8660921524188924756oprime(nat,X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2936])])).
% 59.37/9.99  tff(f60310,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (~algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),aa(nat,int,code_T6385005292777649522of_nat,X1)) | algebr8660921524188924756oprime(nat,X0,X1)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f46616,f35405])).
% 59.37/9.99  tff(f46616,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (algebr8660921524188924756oprime(nat,X0,X1) | ~algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),aa(nat,int,semiring_1_of_nat(int),X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32199])).
% 59.37/9.99  tff(f32199,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),aa(nat,int,semiring_1_of_nat(int),X1)) | ~algebr8660921524188924756oprime(nat,X0,X1)) & (algebr8660921524188924756oprime(nat,X0,X1) | ~algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),aa(nat,int,semiring_1_of_nat(int),X1))))),
% 59.37/9.99    inference(nnf_transformation,[],[f16566])).
% 59.37/9.99  tff(f16566,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),aa(nat,int,semiring_1_of_nat(int),X1)) <=> algebr8660921524188924756oprime(nat,X0,X1))),
% 59.37/9.99    inference(rectify,[],[f6853])).
% 59.37/9.99  tff(f6853,axiom,(
% 59.37/9.99    ! [X9 : nat,X8 : nat] : (algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X9),aa(nat,int,semiring_1_of_nat(int),X8)) <=> algebr8660921524188924756oprime(nat,X9,X8))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6852_coprime__int__iff)).
% 59.37/9.99  tff(f82605,plain,(
% 59.37/9.99    spl2737_2935),
% 59.37/9.99    inference(avatar_split_clause,[],[f60309,f82603])).
% 59.37/9.99  tff(f82603,plain,(
% 59.37/9.99    spl2737_2935 <=> ! [X0 : nat,X1 : nat] : (algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),aa(nat,int,code_T6385005292777649522of_nat,X1)) | ~algebr8660921524188924756oprime(nat,X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2935])])).
% 59.37/9.99  tff(f60309,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (algebr8660921524188924756oprime(int,aa(nat,int,code_T6385005292777649522of_nat,X0),aa(nat,int,code_T6385005292777649522of_nat,X1)) | ~algebr8660921524188924756oprime(nat,X0,X1)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f46617,f35405])).
% 59.37/9.99  tff(f46617,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (algebr8660921524188924756oprime(int,aa(nat,int,semiring_1_of_nat(int),X0),aa(nat,int,semiring_1_of_nat(int),X1)) | ~algebr8660921524188924756oprime(nat,X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32199])).
% 59.37/9.99  tff(f82601,plain,(
% 59.37/9.99    spl2737_2934),
% 59.37/9.99    inference(avatar_split_clause,[],[f60206,f82599])).
% 59.37/9.99  tff(f82599,plain,(
% 59.37/9.99    spl2737_2934 <=> ! [X0 : $tType,X1 : list(X0)] : (size_num(one2) != aa(list(X0),nat,size_size(list(X0)),X1) | nil(X0) = X1)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2934])])).
% 59.37/9.99  tff(f60206,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : list(X0)] : (size_num(one2) != aa(list(X0),nat,size_size(list(X0)),X1) | nil(X0) = X1) )),
% 59.37/9.99    inference(forward_demodulation,[],[f46441,f35397])).
% 59.37/9.99  tff(f46441,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | zero_zero(nat) != aa(list(X0),nat,size_size(list(X0)),X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32086])).
% 59.37/9.99  tff(f32086,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(X0)] : ((zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),X1) | nil(X0) != X1) & (nil(X0) = X1 | zero_zero(nat) != aa(list(X0),nat,size_size(list(X0)),X1)))),
% 59.37/9.99    inference(nnf_transformation,[],[f16489])).
% 59.37/9.99  tff(f16489,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(X0)] : (zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),X1) <=> nil(X0) = X1)),
% 59.37/9.99    inference(rectify,[],[f4961])).
% 59.37/9.99  tff(f4961,axiom,(
% 59.37/9.99    ! [X0 : $tType,X123 : list(X0)] : (zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),X123) <=> nil(X0) = X123)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4960_length__0__conv)).
% 59.37/9.99  tff(f82597,plain,(
% 59.37/9.99    spl2737_2933),
% 59.37/9.99    inference(avatar_split_clause,[],[f58763,f82595])).
% 59.37/9.99  tff(f82595,plain,(
% 59.37/9.99    spl2737_2933 <=> ! [X0 : nat] : (one_one(nat) = X0 | sP290(vEBT_vebt_buildup(X0),X0) | sP291(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2933])])).
% 59.37/9.99  tff(f58763,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (one_one(nat) = X0 | sP290(vEBT_vebt_buildup(X0),X0) | sP291(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f58762,f54053])).
% 59.37/9.99  tff(f58762,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,size_num(one2)) = X0 | sP290(vEBT_vebt_buildup(X0),X0) | sP291(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53195,f35397])).
% 59.37/9.99  tff(f53195,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (sP290(vEBT_vebt_buildup(X0),X0) | aa(nat,nat,suc,zero_zero(nat)) = X0 | sP291(vEBT_vebt_buildup(X0),X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0)) )),
% 59.37/9.99    inference(equality_resolution,[],[f45058])).
% 59.37/9.99  tff(f45058,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP290(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) = X0 | sP291(X1,X0) | ~accp(nat,vEBT_v4011308405150292612up_rel,X0) | vEBT_vebt_buildup(X0) != X1) )),
% 59.37/9.99    inference(cnf_transformation,[],[f27529])).
% 59.37/9.99  tff(f82593,plain,(
% 59.37/9.99    spl2737_2932),
% 59.37/9.99    inference(avatar_split_clause,[],[f58333,f82591])).
% 59.37/9.99  tff(f82591,plain,(
% 59.37/9.99    spl2737_2932 <=> ! [X1 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),size_num(one2)),X1)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2932])])).
% 59.37/9.99  tff(f58333,plain,(
% 59.37/9.99    ( ! [X1 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),size_num(one2)),X1)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53154,f35397])).
% 59.37/9.99  tff(f53154,plain,(
% 59.37/9.99    ( ! [X1 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),zero_zero(nat)),X1)) )),
% 59.37/9.99    inference(equality_resolution,[],[f44151])).
% 59.37/9.99  tff(f44151,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1) | zero_zero(nat) != X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23788])).
% 59.37/9.99  tff(f23788,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),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,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | zero_zero(nat) = X1 | zero_zero(nat) = X0) & (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1) | (zero_zero(nat) != X1 & zero_zero(nat) != X0)))),
% 59.37/9.99    inference(flattening,[],[f23787])).
% 59.37/9.99  tff(f23787,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),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,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | (zero_zero(nat) = X1 | zero_zero(nat) = X0)) & (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1) | (zero_zero(nat) != X1 & zero_zero(nat) != X0)))),
% 59.37/9.99    inference(ennf_transformation,[],[f15274])).
% 59.37/9.99  tff(f15274,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((~(zero_zero(nat) = X1 | zero_zero(nat) = X0) => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),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,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))))) & ((zero_zero(nat) = X1 | zero_zero(nat) = X0) => zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f3491])).
% 59.37/9.99  tff(f3491,axiom,(
% 59.37/9.99    ! [X9 : nat,X8 : nat] : ((~(zero_zero(nat) = X8 | zero_zero(nat) = X9) => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X9),X8) = 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,X9,aa(num,nat,numeral_numeral(nat),bit0(one2)))),modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X8,aa(num,nat,numeral_numeral(nat),bit0(one2))))))) & ((zero_zero(nat) = X8 | zero_zero(nat) = X9) => zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X9),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3490_and__nat__unfold)).
% 59.37/9.99  tff(f82589,plain,(
% 59.37/9.99    spl2737_2931),
% 59.37/9.99    inference(avatar_split_clause,[],[f58332,f82587])).
% 59.37/9.99  tff(f82587,plain,(
% 59.37/9.99    spl2737_2931 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),size_num(one2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2931])])).
% 59.37/9.99  tff(f58332,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),size_num(one2))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f53153,f35397])).
% 59.37/9.99  tff(f53153,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),zero_zero(nat))) )),
% 59.37/9.99    inference(equality_resolution,[],[f44152])).
% 59.37/9.99  tff(f44152,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344872417868541ns_and(nat),X0),X1) | zero_zero(nat) != X1) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23788])).
% 59.37/9.99  tff(f82585,plain,(
% 59.37/9.99    spl2737_2930),
% 59.37/9.99    inference(avatar_split_clause,[],[f57510,f82583])).
% 59.37/9.99  tff(f82583,plain,(
% 59.37/9.99    spl2737_2930 <=> ! [X0 : int,X1 : nat] : aa(int,rat,of_int,X0) = aa(nat,rat,aTP_Lamp_aal(int,fun(nat,rat),X0),X1)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2930])])).
% 59.37/9.99  tff(f57510,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : nat] : (aa(int,rat,of_int,X0) = aa(nat,rat,aTP_Lamp_aal(int,fun(nat,rat),X0),X1)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f43571,f35404])).
% 59.37/9.99  tff(f43571,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : nat] : (aa(int,rat,ring_1_of_int(rat),X0) = aa(nat,rat,aTP_Lamp_aal(int,fun(nat,rat),X0),X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f14754])).
% 59.37/9.99  tff(f14754,plain,(
% 59.37/9.99    ! [X0 : int,X1 : nat] : aa(int,rat,ring_1_of_int(rat),X0) = aa(nat,rat,aTP_Lamp_aal(int,fun(nat,rat),X0),X1)),
% 59.37/9.99    inference(rectify,[],[f8497])).
% 59.37/9.99  tff(f8497,axiom,(
% 59.37/9.99    ! [X94 : int,X353 : nat] : aa(nat,rat,aTP_Lamp_aal(int,fun(nat,rat),X94),X353) = aa(int,rat,ring_1_of_int(rat),X94)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8496_ATP_Olambda__381)).
% 59.37/9.99  tff(f82581,plain,(
% 59.37/9.99    spl2737_2929),
% 59.37/9.99    inference(avatar_split_clause,[],[f56384,f82579])).
% 59.37/9.99  tff(f82579,plain,(
% 59.37/9.99    spl2737_2929 <=> ! [X0 : nat] : (size_num(one2) = X0 | lattic643756798349783984er_Max(nat,collect(nat,aTP_Lamp_iz(nat,fun(nat,bool),X0))) = X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2929])])).
% 59.37/9.99  tff(f56384,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = X0 | lattic643756798349783984er_Max(nat,collect(nat,aTP_Lamp_iz(nat,fun(nat,bool),X0))) = X0) )),
% 59.37/9.99    inference(forward_demodulation,[],[f42486,f35397])).
% 59.37/9.99  tff(f42486,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (lattic643756798349783984er_Max(nat,collect(nat,aTP_Lamp_iz(nat,fun(nat,bool),X0))) = X0 | zero_zero(nat) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22672])).
% 59.37/9.99  tff(f22672,plain,(
% 59.37/9.99    ! [X0 : nat] : (lattic643756798349783984er_Max(nat,collect(nat,aTP_Lamp_iz(nat,fun(nat,bool),X0))) = X0 | zero_zero(nat) = X0)),
% 59.37/9.99    inference(ennf_transformation,[],[f14013])).
% 59.37/9.99  tff(f14013,plain,(
% 59.37/9.99    ! [X0 : nat] : (zero_zero(nat) != X0 => lattic643756798349783984er_Max(nat,collect(nat,aTP_Lamp_iz(nat,fun(nat,bool),X0))) = X0)),
% 59.37/9.99    inference(rectify,[],[f6371])).
% 59.37/9.99  tff(f6371,axiom,(
% 59.37/9.99    ! [X8 : nat] : (zero_zero(nat) != X8 => lattic643756798349783984er_Max(nat,collect(nat,aTP_Lamp_iz(nat,fun(nat,bool),X8))) = X8)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6370_Max__divisors__self__nat)).
% 59.37/9.99  tff(f82577,plain,(
% 59.37/9.99    spl2737_2928),
% 59.37/9.99    inference(avatar_split_clause,[],[f56370,f82575])).
% 59.37/9.99  tff(f82575,plain,(
% 59.37/9.99    spl2737_2928 <=> ! [X0 : complex] : (aa(complex,complex,sgn_sgn(complex),X0) = rcis(im(imaginary_unit),arg(X0)) | zero_zero(complex) = X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2928])])).
% 59.37/9.99  tff(f56370,plain,(
% 59.37/9.99    ( ! [X0 : complex] : (aa(complex,complex,sgn_sgn(complex),X0) = rcis(im(imaginary_unit),arg(X0)) | zero_zero(complex) = X0) )),
% 59.37/9.99    inference(forward_demodulation,[],[f51283,f35393])).
% 59.37/9.99  tff(f51283,plain,(
% 59.37/9.99    ( ! [X0 : complex] : (aa(complex,complex,sgn_sgn(complex),X0) = rcis(one_one(real),arg(X0)) | zero_zero(complex) = X0) )),
% 59.37/9.99    inference(definition_unfolding,[],[f42474,f35787])).
% 59.37/9.99  tff(f42474,plain,(
% 59.37/9.99    ( ! [X0 : complex] : (aa(complex,complex,sgn_sgn(complex),X0) = cis(arg(X0)) | zero_zero(complex) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22664])).
% 59.37/9.99  tff(f22664,plain,(
% 59.37/9.99    ! [X0 : complex] : ((pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X0)),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X0))) & aa(complex,complex,sgn_sgn(complex),X0) = cis(arg(X0))) | zero_zero(complex) = X0)),
% 59.37/9.99    inference(ennf_transformation,[],[f14006])).
% 59.37/9.99  tff(f14006,plain,(
% 59.37/9.99    ! [X0 : complex] : (zero_zero(complex) != X0 => (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X0)),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X0))) & aa(complex,complex,sgn_sgn(complex),X0) = cis(arg(X0))))),
% 59.37/9.99    inference(rectify,[],[f3342])).
% 59.37/9.99  tff(f3342,axiom,(
% 59.37/9.99    ! [X60 : complex] : (zero_zero(complex) != X60 => (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X60)),pi)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),pi)),arg(X60))) & aa(complex,complex,sgn_sgn(complex),X60) = cis(arg(X60))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3341_Arg__correct)).
% 59.37/9.99  tff(f82573,plain,(
% 59.37/9.99    spl2737_2927),
% 59.37/9.99    inference(avatar_split_clause,[],[f55079,f82571])).
% 59.37/9.99  tff(f82571,plain,(
% 59.37/9.99    spl2737_2927 <=> ! [X0 : $tType,X1 : nat] : (archimedean_ceiling(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) = aa(nat,int,code_T6385005292777649522of_nat,X1) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2927])])).
% 59.37/9.99  tff(f55079,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (archimedean_ceiling(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) = aa(nat,int,code_T6385005292777649522of_nat,X1) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f37491,f35405])).
% 59.37/9.99  tff(f37491,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (aa(nat,int,semiring_1_of_nat(int),X1) = archimedean_ceiling(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19185])).
% 59.37/9.99  tff(f19185,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat] : aa(nat,int,semiring_1_of_nat(int),X1) = archimedean_ceiling(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11152])).
% 59.37/9.99  tff(f11152,plain,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : nat] : aa(nat,int,semiring_1_of_nat(int),X1) = archimedean_ceiling(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f340])).
% 59.37/9.99  tff(f340,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X8 : nat] : aa(nat,int,semiring_1_of_nat(int),X8) = archimedean_ceiling(X0,aa(nat,X0,semiring_1_of_nat(X0),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_ceiling__of__nat)).
% 59.37/9.99  tff(f82569,plain,(
% 59.37/9.99    spl2737_2926),
% 59.37/9.99    inference(avatar_split_clause,[],[f55078,f82567])).
% 59.37/9.99  tff(f82567,plain,(
% 59.37/9.99    spl2737_2926 <=> ! [X0 : $tType,X1 : nat] : (archimedean_round(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) = aa(nat,int,code_T6385005292777649522of_nat,X1) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2926])])).
% 59.37/9.99  tff(f55078,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (archimedean_round(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) = aa(nat,int,code_T6385005292777649522of_nat,X1) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f37490,f35405])).
% 59.37/9.99  tff(f37490,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (aa(nat,int,semiring_1_of_nat(int),X1) = archimedean_round(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19184])).
% 59.37/9.99  tff(f19184,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat] : aa(nat,int,semiring_1_of_nat(int),X1) = archimedean_round(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11151])).
% 59.37/9.99  tff(f11151,plain,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : nat] : aa(nat,int,semiring_1_of_nat(int),X1) = archimedean_round(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f2083])).
% 59.37/9.99  tff(f2083,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X8 : nat] : aa(nat,int,semiring_1_of_nat(int),X8) = archimedean_round(X0,aa(nat,X0,semiring_1_of_nat(X0),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2082_round__of__nat)).
% 59.37/9.99  tff(f82565,plain,(
% 59.37/9.99    spl2737_2925),
% 59.37/9.99    inference(avatar_split_clause,[],[f55077,f82563])).
% 59.37/9.99  tff(f82563,plain,(
% 59.37/9.99    spl2737_2925 <=> ! [X0 : $tType,X1 : num] : (archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,pos,X1) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2925])])).
% 59.37/9.99  tff(f55077,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,pos,X1) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f37489,f35413])).
% 59.37/9.99  tff(f37489,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (aa(num,int,numeral_numeral(int),X1) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19183])).
% 59.37/9.99  tff(f19183,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11150])).
% 59.37/9.99  tff(f11150,plain,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f2037])).
% 59.37/9.99  tff(f2037,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X133 : num] : aa(num,int,numeral_numeral(int),X133) = archimedean_ceiling(X0,aa(num,X0,numeral_numeral(X0),X133)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2036_ceiling__numeral)).
% 59.37/9.99  tff(f82561,plain,(
% 59.37/9.99    spl2737_2924),
% 59.37/9.99    inference(avatar_split_clause,[],[f55076,f82559])).
% 59.37/9.99  tff(f82559,plain,(
% 59.37/9.99    spl2737_2924 <=> ! [X0 : $tType,X1 : num] : (archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,pos,X1) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2924])])).
% 59.37/9.99  tff(f55076,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) = aa(num,int,pos,X1) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f37488,f35413])).
% 59.37/9.99  tff(f37488,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (aa(num,int,numeral_numeral(int),X1) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19182])).
% 59.37/9.99  tff(f19182,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11149])).
% 59.37/9.99  tff(f11149,plain,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : num] : aa(num,int,numeral_numeral(int),X1) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f2040])).
% 59.37/9.99  tff(f2040,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X8 : num] : aa(num,int,numeral_numeral(int),X8) = archimedean_round(X0,aa(num,X0,numeral_numeral(X0),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2039_round__numeral)).
% 59.37/9.99  tff(f82557,plain,(
% 59.37/9.99    spl2737_2923),
% 59.37/9.99    inference(avatar_split_clause,[],[f54548,f82555])).
% 59.37/9.99  tff(f82555,plain,(
% 59.37/9.99    spl2737_2923 <=> ! [X0 : nat] : aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),one_one(nat))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2923])])).
% 59.37/9.99  tff(f54548,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),one_one(nat))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54547,f54053])).
% 59.37/9.99  tff(f54547,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,size_num(one2)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54546,f35397])).
% 59.37/9.99  tff(f54546,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0)) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54545,f54446])).
% 59.37/9.99  tff(f54545,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54544,f54081])).
% 59.37/9.99  tff(f54544,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54543,f35414])).
% 59.37/9.99  tff(f54543,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f50663,f50511])).
% 59.37/9.99  tff(f50663,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)) )),
% 59.37/9.99    inference(definition_unfolding,[],[f36208,f50501])).
% 59.37/9.99  tff(f36208,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10368])).
% 59.37/9.99  tff(f10368,plain,(
% 59.37/9.99    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/9.99    inference(rectify,[],[f3518])).
% 59.37/9.99  tff(f3518,axiom,(
% 59.37/9.99    ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X8) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X8),aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3517_push__bit__of__Suc__0)).
% 59.37/9.99  tff(f82553,plain,(
% 59.37/9.99    spl2737_2922),
% 59.37/9.99    inference(avatar_split_clause,[],[f54507,f82551])).
% 59.37/9.99  tff(f54507,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Lcm(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Lcm(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54506,f35405])).
% 59.37/9.99  tff(f54506,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Lcm(int,X0) = aa(nat,int,semiring_1_of_nat(int),gcd_Lcm(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f36180,f35567])).
% 59.37/9.99  tff(f35567,plain,(
% 59.37/9.99    aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)) = euclid6346220572633701492n_size(int)),
% 59.37/9.99    inference(cnf_transformation,[],[f7031])).
% 59.37/9.99  tff(f7031,axiom,(
% 59.37/9.99    aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)) = euclid6346220572633701492n_size(int)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7030_euclidean__size__int__def)).
% 59.37/9.99  tff(f36180,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Lcm(int,X0) = aa(nat,int,semiring_1_of_nat(int),gcd_Lcm(nat,image(int,nat,aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)),X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10340])).
% 59.37/9.99  tff(f10340,plain,(
% 59.37/9.99    ! [X0 : set(int)] : gcd_Lcm(int,X0) = aa(nat,int,semiring_1_of_nat(int),gcd_Lcm(nat,image(int,nat,aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)),X0)))),
% 59.37/9.99    inference(rectify,[],[f7511])).
% 59.37/9.99  tff(f7511,axiom,(
% 59.37/9.99    ! [X161 : set(int)] : gcd_Lcm(int,X161) = aa(nat,int,semiring_1_of_nat(int),gcd_Lcm(nat,image(int,nat,aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)),X161)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7510_Lcm__int__def)).
% 59.37/9.99  tff(f82549,plain,(
% 59.37/9.99    spl2737_2921),
% 59.37/9.99    inference(avatar_split_clause,[],[f54505,f82547])).
% 59.37/9.99  tff(f54505,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Gcd(int,X0) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Gcd(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54504,f35405])).
% 59.37/9.99  tff(f54504,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Gcd(int,X0) = aa(nat,int,semiring_1_of_nat(int),gcd_Gcd(nat,image(int,nat,euclid6346220572633701492n_size(int),X0)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f36179,f35567])).
% 59.37/9.99  tff(f36179,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (gcd_Gcd(int,X0) = aa(nat,int,semiring_1_of_nat(int),gcd_Gcd(nat,image(int,nat,aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)),X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10339])).
% 59.37/9.99  tff(f10339,plain,(
% 59.37/9.99    ! [X0 : set(int)] : gcd_Gcd(int,X0) = aa(nat,int,semiring_1_of_nat(int),gcd_Gcd(nat,image(int,nat,aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)),X0)))),
% 59.37/9.99    inference(rectify,[],[f5013])).
% 59.37/9.99  tff(f5013,axiom,(
% 59.37/9.99    ! [X161 : set(int)] : gcd_Gcd(int,X161) = aa(nat,int,semiring_1_of_nat(int),gcd_Gcd(nat,image(int,nat,aa(fun(int,int),fun(int,nat),comp(int,nat,int,nat2),abs_abs(int)),X161)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5012_Gcd__int__def)).
% 59.37/9.99  tff(f82545,plain,(
% 59.37/9.99    spl2737_2920),
% 59.37/9.99    inference(avatar_split_clause,[],[f54397,f82543])).
% 59.37/9.99  tff(f82543,plain,(
% 59.37/9.99    spl2737_2920 <=> ! [X0 : nat] : one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),one_one(nat)),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2920])])).
% 59.37/9.99  tff(f54397,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),one_one(nat)),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54396,f54053])).
% 59.37/9.99  tff(f54396,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,size_num(one2)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,size_num(one2))),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f36108,f35397])).
% 59.37/9.99  tff(f36108,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,zero_zero(nat))),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10268])).
% 59.37/9.99  tff(f10268,plain,(
% 59.37/9.99    ! [X0 : nat] : aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,zero_zero(nat))),X0)),
% 59.37/9.99    inference(rectify,[],[f1555])).
% 59.37/9.99  tff(f1555,axiom,(
% 59.37/9.99    ! [X8 : nat] : aa(nat,nat,suc,zero_zero(nat)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,zero_zero(nat))),X8)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1554_power__Suc__0)).
% 59.37/9.99  tff(f82533,plain,(
% 59.37/9.99    spl2737_2919 | ~spl2737_2918),
% 59.37/9.99    inference(avatar_split_clause,[],[f82529,f82526,f82531])).
% 59.37/9.99  tff(f82526,plain,(
% 59.37/9.99    spl2737_2918 <=> ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),one_one(nat)),semiring_char_0_fact(nat,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2918])])).
% 59.37/9.99  tff(f82529,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),semiring_char_0_fact(nat,X0)),one_one(nat)))) ) | ~spl2737_2918),
% 59.37/9.99    inference(forward_demodulation,[],[f82527,f50171])).
% 59.37/9.99  tff(f82527,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),one_one(nat)),semiring_char_0_fact(nat,X0)))) ) | ~spl2737_2918),
% 59.37/9.99    inference(avatar_component_clause,[],[f82526])).
% 59.37/9.99  tff(f82528,plain,(
% 59.37/9.99    spl2737_2918),
% 59.37/9.99    inference(avatar_split_clause,[],[f54365,f82526])).
% 59.37/9.99  tff(f54365,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),one_one(nat)),semiring_char_0_fact(nat,X0)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54364,f54053])).
% 59.37/9.99  tff(f54364,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,size_num(one2))),semiring_char_0_fact(nat,X0)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f36068,f35397])).
% 59.37/9.99  tff(f36068,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,zero_zero(nat))),semiring_char_0_fact(nat,X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10228])).
% 59.37/9.99  tff(f10228,plain,(
% 59.37/9.99    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,zero_zero(nat))),semiring_char_0_fact(nat,X0)))),
% 59.37/9.99    inference(rectify,[],[f1713])).
% 59.37/9.99  tff(f1713,axiom,(
% 59.37/9.99    ! [X8 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,zero_zero(nat))),semiring_char_0_fact(nat,X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1712_fact__ge__Suc__0__nat)).
% 59.37/9.99  tff(f82524,plain,(
% 59.37/9.99    spl2737_2917),
% 59.37/9.99    inference(avatar_split_clause,[],[f54333,f82522])).
% 59.37/9.99  tff(f82522,plain,(
% 59.37/9.99    spl2737_2917 <=> ! [X0 : extended_enat] : zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),zero_zero(extended_enat)),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2917])])).
% 59.37/9.99  tff(f54333,plain,(
% 59.37/9.99    ( ! [X0 : extended_enat] : (zero_zero(extended_enat) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),zero_zero(extended_enat)),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f54332,f54020])).
% 59.37/9.99  tff(f54332,plain,(
% 59.37/9.99    ( ! [X0 : extended_enat] : (extended_enat2(size_num(one2)) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),extended_enat2(size_num(one2))),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f36019,f35397])).
% 59.37/9.99  tff(f36019,plain,(
% 59.37/9.99    ( ! [X0 : extended_enat] : (extended_enat2(zero_zero(nat)) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),extended_enat2(zero_zero(nat))),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10179])).
% 59.37/9.99  tff(f10179,plain,(
% 59.37/9.99    ! [X0 : extended_enat] : extended_enat2(zero_zero(nat)) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),extended_enat2(zero_zero(nat))),X0)),
% 59.37/9.99    inference(rectify,[],[f7190])).
% 59.37/9.99  tff(f7190,axiom,(
% 59.37/9.99    ! [X8 : extended_enat] : extended_enat2(zero_zero(nat)) = aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),extended_enat2(zero_zero(nat))),X8)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7189_idiff__enat__0)).
% 59.37/9.99  tff(f82520,plain,(
% 59.37/9.99    spl2737_2916),
% 59.37/9.99    inference(avatar_split_clause,[],[f54319,f82518])).
% 59.37/9.99  tff(f82518,plain,(
% 59.37/9.99    spl2737_2916 <=> ! [X0 : nat] : aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,semiring_1_of_nat(code_integer),X0)) = aa(nat,int,code_T6385005292777649522of_nat,X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2916])])).
% 59.37/9.99  tff(f54319,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,semiring_1_of_nat(code_integer),X0)) = aa(nat,int,code_T6385005292777649522of_nat,X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f36001,f35405])).
% 59.37/9.99  tff(f36001,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,int,semiring_1_of_nat(int),X0) = aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,semiring_1_of_nat(code_integer),X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10161])).
% 59.37/9.99  tff(f10161,plain,(
% 59.37/9.99    ! [X0 : nat] : aa(nat,int,semiring_1_of_nat(int),X0) = aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,semiring_1_of_nat(code_integer),X0))),
% 59.37/9.99    inference(rectify,[],[f4686])).
% 59.37/9.99  tff(f4686,axiom,(
% 59.37/9.99    ! [X8 : nat] : aa(nat,int,semiring_1_of_nat(int),X8) = aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,semiring_1_of_nat(code_integer),X8))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4685_int__of__integer__of__nat)).
% 59.37/9.99  tff(f82510,plain,(
% 59.37/9.99    spl2737_2915 | ~spl2737_2914),
% 59.37/9.99    inference(avatar_split_clause,[],[f82506,f82503,f82508])).
% 59.37/9.99  tff(f82503,plain,(
% 59.37/9.99    spl2737_2914 <=> ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sin(real,X0)),im(imaginary_unit)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2914])])).
% 59.37/9.99  tff(f82506,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),im(imaginary_unit)),sin(real,X0)))) ) | ~spl2737_2914),
% 59.37/9.99    inference(forward_demodulation,[],[f82504,f50171])).
% 59.37/9.99  tff(f82504,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sin(real,X0)),im(imaginary_unit)))) ) | ~spl2737_2914),
% 59.37/9.99    inference(avatar_component_clause,[],[f82503])).
% 59.37/9.99  tff(f82505,plain,(
% 59.37/9.99    spl2737_2914),
% 59.37/9.99    inference(avatar_split_clause,[],[f54314,f82503])).
% 59.37/9.99  tff(f54314,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sin(real,X0)),im(imaginary_unit)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35990,f35393])).
% 59.37/9.99  tff(f35990,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sin(real,X0)),one_one(real)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10150])).
% 59.37/9.99  tff(f10150,plain,(
% 59.37/9.99    ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sin(real,X0)),one_one(real)))),
% 59.37/9.99    inference(rectify,[],[f2847])).
% 59.37/9.99  tff(f2847,axiom,(
% 59.37/9.99    ! [X14 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sin(real,X14)),one_one(real)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2846_sin__le__one)).
% 59.37/9.99  tff(f82496,plain,(
% 59.37/9.99    spl2737_2913 | ~spl2737_2912),
% 59.37/9.99    inference(avatar_split_clause,[],[f82492,f82489,f82494])).
% 59.37/9.99  tff(f82489,plain,(
% 59.37/9.99    spl2737_2912 <=> ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),im(imaginary_unit)),cosh(real,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2912])])).
% 59.37/9.99  tff(f82492,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),cosh(real,X0)),im(imaginary_unit)))) ) | ~spl2737_2912),
% 59.37/9.99    inference(forward_demodulation,[],[f82490,f50171])).
% 59.37/9.99  tff(f82490,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),im(imaginary_unit)),cosh(real,X0)))) ) | ~spl2737_2912),
% 59.37/9.99    inference(avatar_component_clause,[],[f82489])).
% 59.37/9.99  tff(f82491,plain,(
% 59.37/9.99    spl2737_2912),
% 59.37/9.99    inference(avatar_split_clause,[],[f54313,f82489])).
% 59.37/9.99  tff(f54313,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),im(imaginary_unit)),cosh(real,X0)))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35989,f35393])).
% 59.37/9.99  tff(f35989,plain,(
% 59.37/9.99    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),one_one(real)),cosh(real,X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10149])).
% 59.37/9.99  tff(f10149,plain,(
% 59.37/9.99    ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),one_one(real)),cosh(real,X0)))),
% 59.37/9.99    inference(rectify,[],[f1987])).
% 59.37/9.99  tff(f1987,axiom,(
% 59.37/9.99    ! [X14 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),one_one(real)),cosh(real,X14)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1986_cosh__real__ge__1)).
% 59.37/9.99  tff(f82487,plain,(
% 59.37/9.99    spl2737_2911),
% 59.37/9.99    inference(avatar_split_clause,[],[f54306,f82485])).
% 59.37/9.99  tff(f82485,plain,(
% 59.37/9.99    spl2737_2911 <=> ! [X0 : real] : aa(real,real,ln_ln(real),X0) = aa(real,real,log2(exp(real,im(imaginary_unit))),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2911])])).
% 59.37/9.99  tff(f54306,plain,(
% 59.37/9.99    ( ! [X0 : real] : (aa(real,real,ln_ln(real),X0) = aa(real,real,log2(exp(real,im(imaginary_unit))),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35980,f35393])).
% 59.37/9.99  tff(f35980,plain,(
% 59.37/9.99    ( ! [X0 : real] : (aa(real,real,ln_ln(real),X0) = aa(real,real,log2(exp(real,one_one(real))),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10140])).
% 59.37/9.99  tff(f10140,plain,(
% 59.37/9.99    ! [X0 : real] : aa(real,real,ln_ln(real),X0) = aa(real,real,log2(exp(real,one_one(real))),X0)),
% 59.37/9.99    inference(rectify,[],[f1686])).
% 59.37/9.99  tff(f1686,axiom,(
% 59.37/9.99    ! [X14 : real] : aa(real,real,ln_ln(real),X14) = aa(real,real,log2(exp(real,one_one(real))),X14)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1685_log__ln)).
% 59.37/9.99  tff(f82483,plain,(
% 59.37/9.99    spl2737_2910),
% 59.37/9.99    inference(avatar_split_clause,[],[f54302,f82481])).
% 59.37/9.99  tff(f82481,plain,(
% 59.37/9.99    spl2737_2910 <=> ! [X0 : nat] : set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),upt(size_num(one2),X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2910])])).
% 59.37/9.99  tff(f54302,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),upt(size_num(one2),X0))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35975,f35397])).
% 59.37/9.99  tff(f35975,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),upt(zero_zero(nat),X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10136])).
% 59.37/9.99  tff(f10136,plain,(
% 59.37/9.99    ! [X0 : nat] : set_ord_lessThan(nat,X0) = aa(list(nat),set(nat),set2(nat),upt(zero_zero(nat),X0))),
% 59.37/9.99    inference(rectify,[],[f5256])).
% 59.37/9.99  tff(f5256,axiom,(
% 59.37/9.99    ! [X8 : nat] : set_ord_lessThan(nat,X8) = aa(list(nat),set(nat),set2(nat),upt(zero_zero(nat),X8))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5255_atLeast__upt)).
% 59.37/9.99  tff(f82479,plain,(
% 59.37/9.99    spl2737_2909),
% 59.37/9.99    inference(avatar_split_clause,[],[f54301,f82477])).
% 59.37/9.99  tff(f82477,plain,(
% 59.37/9.99    spl2737_2909 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),size_num(one2)),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2909])])).
% 59.37/9.99  tff(f54301,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),size_num(one2)),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35967,f35397])).
% 59.37/9.99  tff(f35967,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10130])).
% 59.37/9.99  tff(f10130,plain,(
% 59.37/9.99    ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X0)),
% 59.37/9.99    inference(rectify,[],[f1338])).
% 59.37/9.99  tff(f1338,axiom,(
% 59.37/9.99    ! [X8 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X8)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1337_mult__0)).
% 59.37/9.99  tff(f82475,plain,(
% 59.37/9.99    spl2737_2908),
% 59.37/9.99    inference(avatar_split_clause,[],[f54300,f82473])).
% 59.37/9.99  tff(f82473,plain,(
% 59.37/9.99    spl2737_2908 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),size_num(one2)),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2908])])).
% 59.37/9.99  tff(f54300,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),size_num(one2)),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35966,f35397])).
% 59.37/9.99  tff(f35966,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10129])).
% 59.37/9.99  tff(f10129,plain,(
% 59.37/9.99    ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X0)),
% 59.37/9.99    inference(rectify,[],[f124])).
% 59.37/9.99  tff(f124,axiom,(
% 59.37/9.99    ! [X8 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X8)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_diff__0__eq__0)).
% 59.37/9.99  tff(f82471,plain,(
% 59.37/9.99    spl2737_2907),
% 59.37/9.99    inference(avatar_split_clause,[],[f54299,f82469])).
% 59.37/9.99  tff(f82469,plain,(
% 59.37/9.99    spl2737_2907 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),size_num(one2)),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2907])])).
% 59.37/9.99  tff(f54299,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),size_num(one2)),X0)) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35965,f35397])).
% 59.37/9.99  tff(f35965,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),zero_zero(nat)),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10128])).
% 59.37/9.99  tff(f10128,plain,(
% 59.37/9.99    ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),zero_zero(nat)),X0)),
% 59.37/9.99    inference(rectify,[],[f5069])).
% 59.37/9.99  tff(f5069,axiom,(
% 59.37/9.99    ! [X8 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),zero_zero(nat)),X8)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5068_min__0L)).
% 59.37/9.99  tff(f82467,plain,(
% 59.37/9.99    spl2737_2906),
% 59.37/9.99    inference(avatar_split_clause,[],[f54298,f82465])).
% 59.37/9.99  tff(f82465,plain,(
% 59.37/9.99    spl2737_2906 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),size_num(one2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2906])])).
% 59.37/9.99  tff(f54298,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),size_num(one2))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35964,f35397])).
% 59.37/9.99  tff(f35964,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),zero_zero(nat))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10127])).
% 59.37/9.99  tff(f10127,plain,(
% 59.37/9.99    ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),zero_zero(nat))),
% 59.37/9.99    inference(rectify,[],[f1312])).
% 59.37/9.99  tff(f1312,axiom,(
% 59.37/9.99    ! [X9 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X9),zero_zero(nat))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1311_mult__0__right)).
% 59.37/9.99  tff(f82463,plain,(
% 59.37/9.99    spl2737_2905),
% 59.37/9.99    inference(avatar_split_clause,[],[f54297,f82461])).
% 59.37/9.99  tff(f82461,plain,(
% 59.37/9.99    spl2737_2905 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),X0),size_num(one2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2905])])).
% 59.37/9.99  tff(f54297,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),X0),size_num(one2))) )),
% 59.37/9.99    inference(forward_demodulation,[],[f35963,f35397])).
% 59.37/9.99  tff(f35963,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),X0),zero_zero(nat))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10126])).
% 59.37/9.99  tff(f10126,plain,(
% 59.37/9.99    ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),X0),zero_zero(nat))),
% 59.37/9.99    inference(rectify,[],[f5070])).
% 59.37/9.99  tff(f5070,axiom,(
% 59.37/9.99    ! [X8 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),ord_min(nat),X8),zero_zero(nat))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5069_min__0R)).
% 59.37/9.99  tff(f82459,plain,(
% 59.37/9.99    spl2737_2904),
% 59.37/9.99    inference(avatar_split_clause,[],[f54092,f82456])).
% 59.37/9.99  tff(f82456,plain,(
% 59.37/9.99    spl2737_2904 <=> semila1105856199041335345_order(nat,ord_max(nat),size_num(one2),aTP_Lamp_ab(nat,fun(nat,bool)),aTP_Lamp_aa(nat,fun(nat,bool)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2904])])).
% 59.37/9.99  tff(f54092,plain,(
% 59.37/9.99    semila1105856199041335345_order(nat,ord_max(nat),size_num(one2),aTP_Lamp_ab(nat,fun(nat,bool)),aTP_Lamp_aa(nat,fun(nat,bool)))),
% 59.37/9.99    inference(forward_demodulation,[],[f35544,f35397])).
% 59.37/9.99  tff(f35544,plain,(
% 59.37/9.99    semila1105856199041335345_order(nat,ord_max(nat),zero_zero(nat),aTP_Lamp_ab(nat,fun(nat,bool)),aTP_Lamp_aa(nat,fun(nat,bool)))),
% 59.37/9.99    inference(cnf_transformation,[],[f4621])).
% 59.37/9.99  tff(f4621,axiom,(
% 59.37/9.99    semila1105856199041335345_order(nat,ord_max(nat),zero_zero(nat),aTP_Lamp_ab(nat,fun(nat,bool)),aTP_Lamp_aa(nat,fun(nat,bool)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4620_max__nat_Osemilattice__neutr__order__axioms)).
% 59.37/9.99  tff(f82454,plain,(
% 59.37/9.99    spl2737_2903),
% 59.37/9.99    inference(avatar_split_clause,[],[f53481,f82452])).
% 59.37/9.99  tff(f82452,plain,(
% 59.37/9.99    spl2737_2903 <=> ! [X0 : $tType,X2 : fun(X0,bool)] : (pp(aa(X0,bool,X2,sK2059(X0,X2))) | ~pp(aa(X0,bool,X2,fChoice(X0,X2))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2903])])).
% 59.37/9.99  tff(f53481,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : fun(X0,bool)] : (pp(aa(X0,bool,X2,sK2059(X0,X2))) | ~pp(aa(X0,bool,X2,fChoice(X0,X2)))) )),
% 59.37/9.99    inference(equality_resolution,[],[f47470])).
% 59.37/9.99  tff(f47470,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : X0] : (pp(aa(X0,bool,X2,sK2059(X0,X2))) | ~pp(aa(X0,bool,X2,X1)) | fChoice(X0,X2) != X1) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32615])).
% 59.37/9.99  tff(f32615,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool)] : (((pp(aa(X0,bool,X2,sK2059(X0,X2))) | ~pp(aa(X0,bool,X2,X1))) & (pp(aa(X0,bool,X2,X1)) | ! [X4 : X0] : ~pp(aa(X0,bool,X2,X4)))) | fChoice(X0,X2) != X1)),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2059])],[f32613,f32614])).
% 59.37/9.99  tff(f32614,plain,(
% 59.37/9.99    ! [X0 : $tType,X2 : fun(X0,bool)] : (? [X3 : X0] : pp(aa(X0,bool,X2,X3)) => pp(aa(X0,bool,X2,sK2059(X0,X2))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f32613,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool)] : (((? [X3 : X0] : pp(aa(X0,bool,X2,X3)) | ~pp(aa(X0,bool,X2,X1))) & (pp(aa(X0,bool,X2,X1)) | ! [X4 : X0] : ~pp(aa(X0,bool,X2,X4)))) | fChoice(X0,X2) != X1)),
% 59.37/9.99    inference(rectify,[],[f32612])).
% 59.37/9.99  tff(f32612,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool)] : (((? [X3 : X0] : pp(aa(X0,bool,X2,X3)) | ~pp(aa(X0,bool,X2,X1))) & (pp(aa(X0,bool,X2,X1)) | ! [X3 : X0] : ~pp(aa(X0,bool,X2,X3)))) | fChoice(X0,X2) != X1)),
% 59.37/9.99    inference(nnf_transformation,[],[f25644])).
% 59.37/9.99  tff(f25644,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool)] : ((? [X3 : X0] : pp(aa(X0,bool,X2,X3)) <=> pp(aa(X0,bool,X2,X1))) | fChoice(X0,X2) != X1)),
% 59.37/9.99    inference(ennf_transformation,[],[f17024])).
% 59.37/9.99  tff(f17024,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0,X2 : fun(X0,bool)] : (fChoice(X0,X2) = X1 => (? [X3 : X0] : pp(aa(X0,bool,X2,X3)) <=> pp(aa(X0,bool,X2,X1))))),
% 59.37/9.99    inference(rectify,[],[f4034])).
% 59.37/9.99  tff(f4034,axiom,(
% 59.37/9.99    ! [X0 : $tType,X14 : X0,X17 : fun(X0,bool)] : (fChoice(X0,X17) = X14 => (? [X114 : X0] : pp(aa(X0,bool,X17,X114)) <=> pp(aa(X0,bool,X17,X14))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4033_verit__sko__ex__indirect)).
% 59.37/9.99  tff(f82445,plain,(
% 59.37/9.99    spl2737_2902 | ~spl2737_2901),
% 59.37/9.99    inference(avatar_split_clause,[],[f82441,f82438,f82443])).
% 59.37/9.99  tff(f82443,plain,(
% 59.37/9.99    spl2737_2902 <=> ! [X1 : nat] : ~pp(aa(nat,bool,combc(nat,nat,bool,aTP_Lamp_abj(nat,fun(nat,bool)),X1),X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2902])])).
% 59.37/9.99  tff(f82438,plain,(
% 59.37/9.99    spl2737_2901 <=> ! [X1 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X1),X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2901])])).
% 59.37/9.99  tff(f82441,plain,(
% 59.37/9.99    ( ! [X1 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,aTP_Lamp_abj(nat,fun(nat,bool)),X1),X1))) ) | ~spl2737_2901),
% 59.37/9.99    inference(forward_demodulation,[],[f82439,f50171])).
% 59.37/9.99  tff(f82439,plain,(
% 59.37/9.99    ( ! [X1 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X1),X1))) ) | ~spl2737_2901),
% 59.37/9.99    inference(avatar_component_clause,[],[f82438])).
% 59.37/9.99  tff(f82440,plain,(
% 59.37/9.99    spl2737_2901),
% 59.37/9.99    inference(avatar_split_clause,[],[f53411,f82438])).
% 59.37/9.99  tff(f53411,plain,(
% 59.37/9.99    ( ! [X1 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X1),X1))) )),
% 59.37/9.99    inference(equality_resolution,[],[f46689])).
% 59.37/9.99  tff(f46689,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (X0 != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X0),X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32241])).
% 59.37/9.99  tff(f32241,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X0),X1)) | X0 = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) & ((X0 != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X0),X1))))),
% 59.37/9.99    inference(flattening,[],[f32240])).
% 59.37/9.99  tff(f32240,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X0),X1)) | (X0 = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1)))) & ((X0 != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X0),X1))))),
% 59.37/9.99    inference(nnf_transformation,[],[f16590])).
% 59.37/9.99  tff(f16590,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X0),X1)) <=> (X0 != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X1))))),
% 59.37/9.99    inference(rectify,[],[f8212])).
% 59.37/9.99  tff(f8212,axiom,(
% 59.37/9.99    ! [X94 : nat,X353 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),aTP_Lamp_abj(nat,fun(nat,bool)),X94),X353)) <=> (X94 != X353 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X94),X353))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8211_ATP_Olambda__96)).
% 59.37/9.99  tff(f82436,plain,(
% 59.37/9.99    spl2737_2900),
% 59.37/9.99    inference(avatar_split_clause,[],[f53392,f82434])).
% 59.37/9.99  tff(f82434,plain,(
% 59.37/9.99    spl2737_2900 <=> ! [X1 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),zero_zero(int)),X1)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2900])])).
% 59.37/9.99  tff(f53392,plain,(
% 59.37/9.99    ( ! [X1 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),zero_zero(int)),X1)) )),
% 59.37/9.99    inference(equality_resolution,[],[f46641])).
% 59.37/9.99  tff(f46641,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | zero_zero(int) != X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32213])).
% 59.37/9.99  tff(f32213,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : ((zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | (zero_zero(int) != X1 & zero_zero(int) != X0)) & (zero_zero(int) = X1 | zero_zero(int) = X0 | zero_zero(int) != aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1)))),
% 59.37/9.99    inference(flattening,[],[f32212])).
% 59.37/9.99  tff(f32212,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : ((zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | (zero_zero(int) != X1 & zero_zero(int) != X0)) & ((zero_zero(int) = X1 | zero_zero(int) = X0) | zero_zero(int) != aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1)))),
% 59.37/9.99    inference(nnf_transformation,[],[f16571])).
% 59.37/9.99  tff(f16571,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) <=> (zero_zero(int) = X1 | zero_zero(int) = X0))),
% 59.37/9.99    inference(rectify,[],[f7586])).
% 59.37/9.99  tff(f7586,axiom,(
% 59.37/9.99    ! [X9 : int,X8 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X9),X8) <=> (zero_zero(int) = X8 | zero_zero(int) = X9))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7585_lcm__0__iff__int)).
% 59.37/9.99  tff(f82432,plain,(
% 59.37/9.99    spl2737_2899),
% 59.37/9.99    inference(avatar_split_clause,[],[f53391,f82430])).
% 59.37/9.99  tff(f82430,plain,(
% 59.37/9.99    spl2737_2899 <=> ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),zero_zero(int))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2899])])).
% 59.37/9.99  tff(f53391,plain,(
% 59.37/9.99    ( ! [X0 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),zero_zero(int))) )),
% 59.37/9.99    inference(equality_resolution,[],[f46642])).
% 59.37/9.99  tff(f46642,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X0),X1) | zero_zero(int) != X1) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32213])).
% 59.37/9.99  tff(f82428,plain,(
% 59.37/9.99    spl2737_2898),
% 59.37/9.99    inference(avatar_split_clause,[],[f53152,f82426])).
% 59.37/9.99  tff(f82426,plain,(
% 59.37/9.99    spl2737_2898 <=> ! [X1 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),zero_zero(int)),X1)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2898])])).
% 59.37/9.99  tff(f53152,plain,(
% 59.37/9.99    ( ! [X1 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),zero_zero(int)),X1)) )),
% 59.37/9.99    inference(equality_resolution,[],[f44146])).
% 59.37/9.99  tff(f44146,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) | zero_zero(int) != X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23786])).
% 59.37/9.99  tff(f23786,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : ((((((aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),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),bit0(one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),bit0(one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),bit0(one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),bit0(one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),bit0(one2)))))) | aa(int,int,uminus_uminus(int),one_one(int)) = X1) & (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1)) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X1 | aa(int,int,uminus_uminus(int),one_one(int)) != X0)) | zero_zero(int) = X1 | zero_zero(int) = X0) & (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) | (zero_zero(int) != X1 & zero_zero(int) != X0)))),
% 59.37/9.99    inference(flattening,[],[f23785])).
% 59.37/9.99  tff(f23785,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : ((((((aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),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),bit0(one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),bit0(one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),bit0(one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),bit0(one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),bit0(one2)))))) | aa(int,int,uminus_uminus(int),one_one(int)) = X1) & (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1)) | aa(int,int,uminus_uminus(int),one_one(int)) = X0) & (aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X1 | aa(int,int,uminus_uminus(int),one_one(int)) != X0)) | (zero_zero(int) = X1 | zero_zero(int) = X0)) & (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) | (zero_zero(int) != X1 & zero_zero(int) != X0)))),
% 59.37/9.99    inference(ennf_transformation,[],[f15273])).
% 59.37/9.99  tff(f15273,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : ((~(zero_zero(int) = X1 | zero_zero(int) = X0) => ((aa(int,int,uminus_uminus(int),one_one(int)) != X0 => ((aa(int,int,uminus_uminus(int),one_one(int)) != X1 => aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),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),bit0(one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),bit0(one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),bit0(one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X0,aa(num,int,numeral_numeral(int),bit0(one2)))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),bit0(one2))))))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X1 => aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X0))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X0 => aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) = X1))) & ((zero_zero(int) = X1 | zero_zero(int) = X0) => zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f3355])).
% 59.37/9.99  tff(f3355,axiom,(
% 59.37/9.99    ! [X18 : int,X51 : int] : ((~(zero_zero(int) = X51 | zero_zero(int) = X18) => ((aa(int,int,uminus_uminus(int),one_one(int)) != X18 => ((aa(int,int,uminus_uminus(int),one_one(int)) != X51 => aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X18),X51) = 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,X18,aa(num,int,numeral_numeral(int),bit0(one2)))),modulo_modulo(int,X51,aa(num,int,numeral_numeral(int),bit0(one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),bit0(one2))),aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),divide_divide(int,X18,aa(num,int,numeral_numeral(int),bit0(one2)))),divide_divide(int,X51,aa(num,int,numeral_numeral(int),bit0(one2))))))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X51 => aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X18),X51) = X18))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X18 => aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X18),X51) = X51))) & ((zero_zero(int) = X51 | zero_zero(int) = X18) => zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X18),X51)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3354_and__int__unfold)).
% 59.37/9.99  tff(f82424,plain,(
% 59.37/9.99    spl2737_2897),
% 59.37/9.99    inference(avatar_split_clause,[],[f53151,f82422])).
% 59.37/9.99  tff(f82422,plain,(
% 59.37/9.99    spl2737_2897 <=> ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),zero_zero(int))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2897])])).
% 59.37/9.99  tff(f53151,plain,(
% 59.37/9.99    ( ! [X0 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),zero_zero(int))) )),
% 59.37/9.99    inference(equality_resolution,[],[f44147])).
% 59.37/9.99  tff(f44147,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),bit_se5824344872417868541ns_and(int),X0),X1) | zero_zero(int) != X1) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23786])).
% 59.37/9.99  tff(f82417,plain,(
% 59.37/9.99    spl2737_2896 | ~spl2737_2895),
% 59.37/9.99    inference(avatar_split_clause,[],[f82413,f82410,f82415])).
% 59.37/9.99  tff(f82415,plain,(
% 59.37/9.99    spl2737_2896 <=> ! [X0 : $tType,X2 : X0] : (ring_1_iszero(X0,aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X2),X2)) | ~ring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2896])])).
% 59.37/9.99  tff(f82410,plain,(
% 59.37/9.99    spl2737_2895 <=> ! [X0 : $tType,X2 : X0] : (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),X2)) | ~ring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2895])])).
% 59.37/9.99  tff(f82413,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0] : (ring_1_iszero(X0,aa(X0,X0,combc(X0,X0,X0,minus_minus(X0),X2),X2)) | ~ring_1(X0)) ) | ~spl2737_2895),
% 59.37/9.99    inference(forward_demodulation,[],[f82411,f50171])).
% 59.37/9.99  tff(f82411,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0] : (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),X2)) | ~ring_1(X0)) ) | ~spl2737_2895),
% 59.37/9.99    inference(avatar_component_clause,[],[f82410])).
% 59.37/9.99  tff(f82412,plain,(
% 59.37/9.99    spl2737_2895),
% 59.37/9.99    inference(avatar_split_clause,[],[f52918,f82410])).
% 59.37/9.99  tff(f52918,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0] : (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),X2)) | ~ring_1(X0)) )),
% 59.37/9.99    inference(equality_resolution,[],[f40811])).
% 59.37/9.99  tff(f40811,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2)) | X1 != X2 | ~ring_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29553])).
% 59.37/9.99  tff(f29553,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 = X2 | ~ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2))) & (ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2)) | X1 != X2)) | ~ring_1(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f21329])).
% 59.37/9.99  tff(f21329,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 = X2 <=> ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2))) | ~ring_1(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12949])).
% 59.37/9.99  tff(f12949,plain,(
% 59.37/9.99    ! [X0 : $tType] : (ring_1(X0) => ! [X1 : X0,X2 : X0] : (X1 = X2 <=> ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X2))))),
% 59.37/9.99    inference(rectify,[],[f4790])).
% 59.37/9.99  tff(f4790,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (ring_1(X0) => ! [X14 : X0,X15 : X0] : (X14 = X15 <=> ring_1_iszero(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X14),X15))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4789_eq__iff__iszero__diff)).
% 59.37/9.99  tff(f82352,plain,(
% 59.37/9.99    spl2737_2894 | ~spl2737_2893),
% 59.37/9.99    inference(avatar_split_clause,[],[f82348,f82345,f82350])).
% 59.37/9.99  tff(f82350,plain,(
% 59.37/9.99    spl2737_2894 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),zero_zero(X0)),X1)) | ~field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2894])])).
% 59.37/9.99  tff(f82345,plain,(
% 59.37/9.99    spl2737_2893 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))) | ~field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2893])])).
% 59.37/9.99  tff(f82348,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),zero_zero(X0)),X1)) | ~field(X0)) ) | ~spl2737_2893),
% 59.37/9.99    inference(forward_demodulation,[],[f82346,f50171])).
% 59.37/9.99  tff(f82346,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))) | ~field(X0)) ) | ~spl2737_2893),
% 59.37/9.99    inference(avatar_component_clause,[],[f82345])).
% 59.37/9.99  tff(f82347,plain,(
% 59.37/9.99    spl2737_2893),
% 59.37/9.99    inference(avatar_split_clause,[],[f52645,f82345])).
% 59.37/9.99  tff(f52645,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))) | ~field(X0)) )),
% 59.37/9.99    inference(equality_resolution,[],[f38689])).
% 59.37/9.99  tff(f38689,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2)) | zero_zero(X0) != X2 | ~field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28869])).
% 59.37/9.99  tff(f82343,plain,(
% 59.37/9.99    spl2737_2892),
% 59.37/9.99    inference(avatar_split_clause,[],[f50586,f82341])).
% 59.37/9.99  tff(f82341,plain,(
% 59.37/9.99    spl2737_2892 <=> ! [X0 : nat] : extended_enat2(aa(nat,nat,suc,X0)) = extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),extended_enat2(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2892])])).
% 59.37/9.99  tff(f50586,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (extended_enat2(aa(nat,nat,suc,X0)) = extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),extended_enat2(X0))) )),
% 59.37/9.99    inference(definition_unfolding,[],[f35831,f35838])).
% 59.37/9.99  tff(f35831,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (extended_eSuc(extended_enat2(X0)) = extended_enat2(aa(nat,nat,suc,X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10001])).
% 59.37/9.99  tff(f10001,plain,(
% 59.37/9.99    ! [X0 : nat] : extended_eSuc(extended_enat2(X0)) = extended_enat2(aa(nat,nat,suc,X0))),
% 59.37/9.99    inference(rectify,[],[f7237])).
% 59.37/9.99  tff(f7237,axiom,(
% 59.37/9.99    ! [X8 : nat] : extended_eSuc(extended_enat2(X8)) = extended_enat2(aa(nat,nat,suc,X8))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7236_eSuc__enat)).
% 59.37/9.99  tff(f82339,plain,(
% 59.37/9.99    spl2737_2891),
% 59.37/9.99    inference(avatar_split_clause,[],[f50059,f82337])).
% 59.37/9.99  tff(f82337,plain,(
% 59.37/9.99    spl2737_2891 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) | ~sP542(X0,X4,X3,X1,X2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2891])])).
% 59.37/9.99  tff(f50059,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,bool),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) | ~sP542(X0,X4,X3,X1,X2)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f34313])).
% 59.37/9.99  tff(f34313,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : ((pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) | ~sP542(X0,X4,X3,X1,X2)) & (sP542(X0,X4,X3,X1,X2) | ~pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4)))))),
% 59.37/9.99    inference(nnf_transformation,[],[f27908])).
% 59.37/9.99  tff(f27908,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) <=> sP542(X0,X4,X3,X1,X2))),
% 59.37/9.99    inference(definition_folding,[],[f26858,f27907])).
% 59.37/9.99  tff(f27907,plain,(
% 59.37/9.99    ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (sP542(X0,X4,X3,X1,X2) <=> ((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP542])])).
% 59.37/9.99  tff(f26858,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) <=> ((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)))),
% 59.37/9.99    inference(ennf_transformation,[],[f18150])).
% 59.37/9.99  tff(f18150,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) <=> ~((~pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (~pp(aa(X0,bool,X1,X2)) & zero_zero(nat) = X4)))),
% 59.37/9.99    inference(rectify,[],[f4494])).
% 59.37/9.99  tff(f4494,axiom,(
% 59.37/9.99    ! [X0 : $tType,X17 : fun(X0,bool),X232 : X0,X233 : fun(nat,X0),X12 : nat] : (pp(aa(X0,bool,X17,case_nat(X0,X232,X233,X12))) <=> ~((~pp(aa(X0,bool,X17,aa(nat,X0,X233,pred(X12)))) & aa(nat,nat,suc,pred(X12)) = X12) | (~pp(aa(X0,bool,X17,X232)) & zero_zero(nat) = X12)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4493_nat_Osplit__sels_I2_J)).
% 59.37/9.99  tff(f82335,plain,(
% 59.37/9.99    spl2737_2890),
% 59.37/9.99    inference(avatar_split_clause,[],[f50058,f82333])).
% 59.37/9.99  tff(f82333,plain,(
% 59.37/9.99    spl2737_2890 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,bool)] : (sP542(X0,X4,X3,X1,X2) | ~pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2890])])).
% 59.37/9.99  tff(f50058,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,bool),X4 : nat] : (sP542(X0,X4,X3,X1,X2) | ~pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f34313])).
% 59.37/9.99  tff(f82331,plain,(
% 59.37/9.99    spl2737_2889),
% 59.37/9.99    inference(avatar_split_clause,[],[f50051,f82329])).
% 59.37/9.99  tff(f82329,plain,(
% 59.37/9.99    spl2737_2889 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) | ~sP541(X0,X4,X3,X1,X2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2889])])).
% 59.37/9.99  tff(f50051,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,bool),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) | ~sP541(X0,X4,X3,X1,X2)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f34309])).
% 59.37/9.99  tff(f34309,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : ((pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) | ~sP541(X0,X4,X3,X1,X2)) & (sP541(X0,X4,X3,X1,X2) | ~pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4)))))),
% 59.37/9.99    inference(nnf_transformation,[],[f27906])).
% 59.37/9.99  tff(f27906,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) <=> sP541(X0,X4,X3,X1,X2))),
% 59.37/9.99    inference(definition_folding,[],[f26857,f27905])).
% 59.37/9.99  tff(f27905,plain,(
% 59.37/9.99    ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (sP541(X0,X4,X3,X1,X2) <=> ((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP541])])).
% 59.37/9.99  tff(f26857,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) <=> ((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)))),
% 59.37/9.99    inference(ennf_transformation,[],[f18149])).
% 59.37/9.99  tff(f18149,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0,X3 : fun(nat,X0),X4 : nat] : (pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))) <=> ((aa(nat,nat,suc,pred(X4)) = X4 => pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4))))) & (zero_zero(nat) = X4 => pp(aa(X0,bool,X1,X2)))))),
% 59.37/9.99    inference(rectify,[],[f4473])).
% 59.37/9.99  tff(f4473,axiom,(
% 59.37/9.99    ! [X0 : $tType,X17 : fun(X0,bool),X232 : X0,X233 : fun(nat,X0),X12 : nat] : (pp(aa(X0,bool,X17,case_nat(X0,X232,X233,X12))) <=> ((aa(nat,nat,suc,pred(X12)) = X12 => pp(aa(X0,bool,X17,aa(nat,X0,X233,pred(X12))))) & (zero_zero(nat) = X12 => pp(aa(X0,bool,X17,X232)))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4472_nat_Osplit__sels_I1_J)).
% 59.37/9.99  tff(f82327,plain,(
% 59.37/9.99    spl2737_2888),
% 59.37/9.99    inference(avatar_split_clause,[],[f50050,f82325])).
% 59.37/9.99  tff(f82325,plain,(
% 59.37/9.99    spl2737_2888 <=> ! [X0 : $tType,X4 : nat,X3 : fun(nat,X0),X2 : X0,X1 : fun(X0,bool)] : (sP541(X0,X4,X3,X1,X2) | ~pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2888])])).
% 59.37/9.99  tff(f50050,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X3 : fun(nat,X0),X1 : fun(X0,bool),X4 : nat] : (sP541(X0,X4,X3,X1,X2) | ~pp(aa(X0,bool,X1,case_nat(X0,X2,X3,X4)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f34309])).
% 59.37/9.99  tff(f82323,plain,(
% 59.37/9.99    spl2737_2887),
% 59.37/9.99    inference(avatar_split_clause,[],[f49851,f82321])).
% 59.37/9.99  tff(f82321,plain,(
% 59.37/9.99    spl2737_2887 <=> ! [X1 : $tType,X0 : $tType,X4 : set(X0),X3 : set(X1),X2 : fun(X1,X0)] : (bij_betw(X0,X1,hilbert_inv_into(X1,X0,X3,X2),X4,X3) | ~bij_betw(X1,X0,X2,X3,X4))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2887])])).
% 59.37/9.99  tff(f49851,plain,(
% 59.37/9.99    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : set(X1),X4 : set(X0)] : (bij_betw(X0,X1,hilbert_inv_into(X1,X0,X3,X2),X4,X3) | ~bij_betw(X1,X0,X2,X3,X4)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f26737])).
% 59.37/9.99  tff(f26737,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : set(X1),X4 : set(X0)] : (bij_betw(X0,X1,hilbert_inv_into(X1,X0,X3,X2),X4,X3) | ~bij_betw(X1,X0,X2,X3,X4))),
% 59.37/9.99    inference(ennf_transformation,[],[f18059])).
% 59.37/9.99  tff(f18059,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : set(X1),X4 : set(X0)] : (bij_betw(X1,X0,X2,X3,X4) => bij_betw(X0,X1,hilbert_inv_into(X1,X0,X3,X2),X4,X3))),
% 59.37/9.99    inference(rectify,[],[f7429])).
% 59.37/9.99  tff(f7429,axiom,(
% 59.37/9.99    ! [X1 : $tType,X0 : $tType,X32 : fun(X0,X1),X30 : set(X0),X52 : set(X1)] : (bij_betw(X0,X1,X32,X30,X52) => bij_betw(X1,X0,hilbert_inv_into(X0,X1,X30,X32),X52,X30))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7428_bij__betw__inv__into)).
% 59.37/9.99  tff(f82319,plain,(
% 59.37/9.99    spl2737_2886),
% 59.37/9.99    inference(avatar_split_clause,[],[f49822,f82317])).
% 59.37/9.99  tff(f82317,plain,(
% 59.37/9.99    spl2737_2886 <=> ! [X0 : $tType,X4 : X0,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,X3,aa(X0,X0,X3,X4)) = X4 | ~group(X0,X1,X2,X3))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2886])])).
% 59.37/9.99  tff(f49822,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0)),X4 : X0] : (aa(X0,X0,X3,aa(X0,X0,X3,X4)) = X4 | ~group(X0,X1,X2,X3)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f26712])).
% 59.37/9.99  tff(f26712,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0),X4 : X0] : (aa(X0,X0,X3,aa(X0,X0,X3,X4)) = X4 | ~group(X0,X1,X2,X3))),
% 59.37/9.99    inference(ennf_transformation,[],[f18041])).
% 59.37/9.99  tff(f18041,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0),X4 : X0] : (group(X0,X1,X2,X3) => aa(X0,X0,X3,aa(X0,X0,X3,X4)) = X4)),
% 59.37/9.99    inference(rectify,[],[f7374])).
% 59.37/9.99  tff(f7374,axiom,(
% 59.37/9.99    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X346 : fun(X0,X0),X7 : X0] : (group(X0,X32,X60,X346) => aa(X0,X0,X346,aa(X0,X0,X346,X7)) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7373_group_Oinverse__inverse)).
% 59.37/9.99  tff(f82315,plain,(
% 59.37/9.99    spl2737_2885),
% 59.37/9.99    inference(avatar_split_clause,[],[f49333,f82313])).
% 59.37/9.99  tff(f82313,plain,(
% 59.37/9.99    spl2737_2885 <=> ! [X0 : int,X3 : fun(int,bool),X2 : fun(int,bool),X1 : set(int)] : (pp(aa(int,bool,X2,sK2514(X2))) | ~sP502(X2,X1,X0) | ~sP503(X0,X1,X2,X3))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2885])])).
% 59.37/9.99  tff(f49333,plain,(
% 59.37/9.99    ( ! [X2 : fun(int,bool),X3 : fun(int,bool),X0 : int,X1 : set(int)] : (pp(aa(int,bool,X2,sK2514(X2))) | ~sP502(X2,X1,X0) | ~sP503(X0,X1,X2,X3)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33844])).
% 59.37/9.99  tff(f33844,plain,(
% 59.37/9.99    ! [X0 : int,X1 : set(int),X2 : fun(int,bool),X3 : fun(int,bool)] : (((pp(aa(int,bool,X2,sK2514(X2))) | (~sP502(X2,X1,X0) & ! [X5 : int] : (~pp(aa(int,bool,X3,X5)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & (sP502(X2,X1,X0) | (pp(aa(int,bool,X3,sK2515(X0,X3))) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),sK2515(X0,X3)),set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X7 : int] : ~pp(aa(int,bool,X2,X7)))) | ~sP503(X0,X1,X2,X3))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2514,sK2515])],[f33841,f33843,f33842])).
% 59.37/9.99  tff(f33842,plain,(
% 59.37/9.99    ! [X2 : fun(int,bool)] : (? [X4 : int] : pp(aa(int,bool,X2,X4)) => pp(aa(int,bool,X2,sK2514(X2))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f33843,plain,(
% 59.37/9.99    ! [X0 : int,X3 : fun(int,bool)] : (? [X6 : int] : (pp(aa(int,bool,X3,X6)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (pp(aa(int,bool,X3,sK2515(X0,X3))) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),sK2515(X0,X3)),set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f33841,plain,(
% 59.37/9.99    ! [X0 : int,X1 : set(int),X2 : fun(int,bool),X3 : fun(int,bool)] : (((? [X4 : int] : pp(aa(int,bool,X2,X4)) | (~sP502(X2,X1,X0) & ! [X5 : int] : (~pp(aa(int,bool,X3,X5)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & (sP502(X2,X1,X0) | ? [X6 : int] : (pp(aa(int,bool,X3,X6)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X7 : int] : ~pp(aa(int,bool,X2,X7)))) | ~sP503(X0,X1,X2,X3))),
% 59.37/9.99    inference(rectify,[],[f33840])).
% 59.37/9.99  tff(f33840,plain,(
% 59.37/9.99    ! [X0 : int,X3 : set(int),X1 : fun(int,bool),X2 : fun(int,bool)] : (((? [X11 : int] : pp(aa(int,bool,X1,X11)) | (~sP502(X1,X3,X0) & ! [X14 : int] : (~pp(aa(int,bool,X2,X14)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & (sP502(X1,X3,X0) | ? [X14 : int] : (pp(aa(int,bool,X2,X14)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X11 : int] : ~pp(aa(int,bool,X1,X11)))) | ~sP503(X0,X3,X1,X2))),
% 59.37/9.99    inference(flattening,[],[f33839])).
% 59.37/9.99  tff(f33839,plain,(
% 59.37/9.99    ! [X0 : int,X3 : set(int),X1 : fun(int,bool),X2 : fun(int,bool)] : (((? [X11 : int] : pp(aa(int,bool,X1,X11)) | (~sP502(X1,X3,X0) & ! [X14 : int] : (~pp(aa(int,bool,X2,X14)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & ((sP502(X1,X3,X0) | ? [X14 : int] : (pp(aa(int,bool,X2,X14)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ! [X11 : int] : ~pp(aa(int,bool,X1,X11)))) | ~sP503(X0,X3,X1,X2))),
% 59.37/9.99    inference(nnf_transformation,[],[f27841])).
% 59.37/9.99  tff(f27841,plain,(
% 59.37/9.99    ! [X0 : int,X3 : set(int),X1 : fun(int,bool),X2 : fun(int,bool)] : ((? [X11 : int] : pp(aa(int,bool,X1,X11)) <=> (sP502(X1,X3,X0) | ? [X14 : int] : (pp(aa(int,bool,X2,X14)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) | ~sP503(X0,X3,X1,X2))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP503])])).
% 59.37/9.99  tff(f82311,plain,(
% 59.37/9.99    spl2737_2884),
% 59.37/9.99    inference(avatar_split_clause,[],[f49317,f82309])).
% 59.37/9.99  tff(f82309,plain,(
% 59.37/9.99    spl2737_2884 <=> ! [X0 : int,X3 : fun(int,bool),X2 : fun(int,bool),X1 : set(int)] : (pp(aa(int,bool,X2,sK2506(X2))) | ~sP498(X2,X1,X0) | ~sP499(X0,X1,X2,X3))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2884])])).
% 59.37/9.99  tff(f49317,plain,(
% 59.37/9.99    ( ! [X2 : fun(int,bool),X3 : fun(int,bool),X0 : int,X1 : set(int)] : (pp(aa(int,bool,X2,sK2506(X2))) | ~sP498(X2,X1,X0) | ~sP499(X0,X1,X2,X3)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33820])).
% 59.37/9.99  tff(f33820,plain,(
% 59.37/9.99    ! [X0 : int,X1 : set(int),X2 : fun(int,bool),X3 : fun(int,bool)] : (((pp(aa(int,bool,X2,sK2506(X2))) | (~sP498(X2,X1,X0) & ! [X5 : int] : (~pp(aa(int,bool,X3,X5)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & (sP498(X2,X1,X0) | (pp(aa(int,bool,X3,sK2507(X0,X3))) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),sK2507(X0,X3)),set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X7 : int] : ~pp(aa(int,bool,X2,X7)))) | ~sP499(X0,X1,X2,X3))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2506,sK2507])],[f33817,f33819,f33818])).
% 59.37/9.99  tff(f33818,plain,(
% 59.37/9.99    ! [X2 : fun(int,bool)] : (? [X4 : int] : pp(aa(int,bool,X2,X4)) => pp(aa(int,bool,X2,sK2506(X2))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f33819,plain,(
% 59.37/9.99    ! [X0 : int,X3 : fun(int,bool)] : (? [X6 : int] : (pp(aa(int,bool,X3,X6)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),set_or1337092689740270186AtMost(int,one_one(int),X0)))) => (pp(aa(int,bool,X3,sK2507(X0,X3))) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),sK2507(X0,X3)),set_or1337092689740270186AtMost(int,one_one(int),X0)))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f33817,plain,(
% 59.37/9.99    ! [X0 : int,X1 : set(int),X2 : fun(int,bool),X3 : fun(int,bool)] : (((? [X4 : int] : pp(aa(int,bool,X2,X4)) | (~sP498(X2,X1,X0) & ! [X5 : int] : (~pp(aa(int,bool,X3,X5)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & (sP498(X2,X1,X0) | ? [X6 : int] : (pp(aa(int,bool,X3,X6)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X7 : int] : ~pp(aa(int,bool,X2,X7)))) | ~sP499(X0,X1,X2,X3))),
% 59.37/9.99    inference(rectify,[],[f33816])).
% 59.37/9.99  tff(f33816,plain,(
% 59.37/9.99    ! [X0 : int,X3 : set(int),X1 : fun(int,bool),X2 : fun(int,bool)] : (((? [X11 : int] : pp(aa(int,bool,X1,X11)) | (~sP498(X1,X3,X0) & ! [X14 : int] : (~pp(aa(int,bool,X2,X14)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & (sP498(X1,X3,X0) | ? [X14 : int] : (pp(aa(int,bool,X2,X14)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))) | ! [X11 : int] : ~pp(aa(int,bool,X1,X11)))) | ~sP499(X0,X3,X1,X2))),
% 59.37/9.99    inference(flattening,[],[f33815])).
% 59.37/9.99  tff(f33815,plain,(
% 59.37/9.99    ! [X0 : int,X3 : set(int),X1 : fun(int,bool),X2 : fun(int,bool)] : (((? [X11 : int] : pp(aa(int,bool,X1,X11)) | (~sP498(X1,X3,X0) & ! [X14 : int] : (~pp(aa(int,bool,X2,X14)) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) & ((sP498(X1,X3,X0) | ? [X14 : int] : (pp(aa(int,bool,X2,X14)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ! [X11 : int] : ~pp(aa(int,bool,X1,X11)))) | ~sP499(X0,X3,X1,X2))),
% 59.37/9.99    inference(nnf_transformation,[],[f27836])).
% 59.37/9.99  tff(f27836,plain,(
% 59.37/9.99    ! [X0 : int,X3 : set(int),X1 : fun(int,bool),X2 : fun(int,bool)] : ((? [X11 : int] : pp(aa(int,bool,X1,X11)) <=> (sP498(X1,X3,X0) | ? [X14 : int] : (pp(aa(int,bool,X2,X14)) & pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X14),set_or1337092689740270186AtMost(int,one_one(int),X0)))))) | ~sP499(X0,X3,X1,X2))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP499])])).
% 59.37/9.99  tff(f82307,plain,(
% 59.37/9.99    spl2737_2883),
% 59.37/9.99    inference(avatar_split_clause,[],[f48988,f82305])).
% 59.37/9.99  tff(f82305,plain,(
% 59.37/9.99    spl2737_2883 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : set(X1)] : aa(X0,set(X1),aTP_Lamp_abu(set(X1),fun(X0,set(X1)),X2),X3) = X2),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2883])])).
% 59.37/9.99  tff(f48988,plain,(
% 59.37/9.99    ( ! [X1 : $tType,X0 : $tType,X2 : set(X1),X3 : X0] : (aa(X0,set(X1),aTP_Lamp_abu(set(X1),fun(X0,set(X1)),X2),X3) = X2) )),
% 59.37/9.99    inference(cnf_transformation,[],[f17604])).
% 59.37/9.99  tff(f17604,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType,X2 : set(X1),X3 : X0] : aa(X0,set(X1),aTP_Lamp_abu(set(X1),fun(X0,set(X1)),X2),X3) = X2),
% 59.37/9.99    inference(rectify,[],[f8934])).
% 59.37/9.99  tff(f8934,axiom,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType,X94 : set(X1),X353 : X0] : aa(X0,set(X1),aTP_Lamp_abu(set(X1),fun(X0,set(X1)),X94),X353) = X94),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8933_ATP_Olambda__818)).
% 59.37/9.99  tff(f82303,plain,(
% 59.37/9.99    spl2737_2882),
% 59.37/9.99    inference(avatar_split_clause,[],[f48987,f82301])).
% 59.37/9.99  tff(f82301,plain,(
% 59.37/9.99    spl2737_2882 <=> ! [X0 : $tType,X3 : nat,X2 : fun(nat,fun(X0,X0)),X1 : X0] : aa(nat,X0,rec_nat(X0,X1,X2),X3) = the(X0,rec_set_nat(X0,X1,X2,X3))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2882])])).
% 59.37/9.99  tff(f48987,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X3 : nat,X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),X3) = the(X0,rec_set_nat(X0,X1,X2,X3))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f17603])).
% 59.37/9.99  tff(f17603,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0,X2 : fun(nat,fun(X0,X0)),X3 : nat] : aa(nat,X0,rec_nat(X0,X1,X2),X3) = the(X0,rec_set_nat(X0,X1,X2,X3))),
% 59.37/9.99    inference(rectify,[],[f4389])).
% 59.37/9.99  tff(f4389,axiom,(
% 59.37/9.99    ! [X4 : $tType,X63 : X4,X66 : fun(nat,fun(X4,X4)),X137 : nat] : aa(nat,X4,rec_nat(X4,X63,X66),X137) = the(X4,rec_set_nat(X4,X63,X66,X137))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4388_old_Orec__nat__def)).
% 59.37/9.99  tff(f82299,plain,(
% 59.37/9.99    spl2737_2881),
% 59.37/9.99    inference(avatar_split_clause,[],[f48523,f82297])).
% 59.37/9.99  tff(f82297,plain,(
% 59.37/9.99    spl2737_2881 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP473(X0,X1,X2) | ~sP472(X2,X1,X0) | ~sP471(X2,X1,X0) | zero_zero(int) = X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2881])])).
% 59.37/9.99  tff(f48523,plain,(
% 59.37/9.99    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP473(X0,X1,X2) | ~sP472(X2,X1,X0) | ~sP471(X2,X1,X0) | zero_zero(int) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33344])).
% 59.37/9.99  tff(f33344,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int,X2 : fun(int,bool)] : ((sP473(X0,X1,X2) | ~sP472(X2,X1,X0) | ~sP471(X2,X1,X0) | (~pp(aa(int,bool,X2,zero_zero(int))) & zero_zero(int) = X0)) & ((sP472(X2,X1,X0) & sP471(X2,X1,X0) & (pp(aa(int,bool,X2,zero_zero(int))) | zero_zero(int) != X0)) | ~sP473(X0,X1,X2)))),
% 59.37/9.99    inference(rectify,[],[f33343])).
% 59.37/9.99  tff(f33343,plain,(
% 59.37/9.99    ! [X2 : int,X1 : int,X0 : fun(int,bool)] : ((sP473(X2,X1,X0) | ~sP472(X0,X1,X2) | ~sP471(X0,X1,X2) | (~pp(aa(int,bool,X0,zero_zero(int))) & zero_zero(int) = X2)) & ((sP472(X0,X1,X2) & sP471(X0,X1,X2) & (pp(aa(int,bool,X0,zero_zero(int))) | zero_zero(int) != X2)) | ~sP473(X2,X1,X0)))),
% 59.37/9.99    inference(flattening,[],[f33342])).
% 59.37/9.99  tff(f33342,plain,(
% 59.37/9.99    ! [X2 : int,X1 : int,X0 : fun(int,bool)] : ((sP473(X2,X1,X0) | (~sP472(X0,X1,X2) | ~sP471(X0,X1,X2) | (~pp(aa(int,bool,X0,zero_zero(int))) & zero_zero(int) = X2))) & ((sP472(X0,X1,X2) & sP471(X0,X1,X2) & (pp(aa(int,bool,X0,zero_zero(int))) | zero_zero(int) != X2)) | ~sP473(X2,X1,X0)))),
% 59.37/9.99    inference(nnf_transformation,[],[f27787])).
% 59.37/9.99  tff(f27787,plain,(
% 59.37/9.99    ! [X2 : int,X1 : int,X0 : fun(int,bool)] : (sP473(X2,X1,X0) <=> (sP472(X0,X1,X2) & sP471(X0,X1,X2) & (pp(aa(int,bool,X0,zero_zero(int))) | zero_zero(int) != X2)))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP473])])).
% 59.37/9.99  tff(f82295,plain,(
% 59.37/9.99    spl2737_2880),
% 59.37/9.99    inference(avatar_split_clause,[],[f48504,f82293])).
% 59.37/9.99  tff(f82293,plain,(
% 59.37/9.99    spl2737_2880 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP470(X0,X1,X2) | ~sP469(X2,X1,X0) | ~sP468(X2,X1,X0) | zero_zero(int) = X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2880])])).
% 59.37/9.99  tff(f48504,plain,(
% 59.37/9.99    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP470(X0,X1,X2) | ~sP469(X2,X1,X0) | ~sP468(X2,X1,X0) | zero_zero(int) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33330])).
% 59.37/9.99  tff(f82291,plain,(
% 59.37/9.99    spl2737_2879),
% 59.37/9.99    inference(avatar_split_clause,[],[f48458,f82289])).
% 59.37/9.99  tff(f82289,plain,(
% 59.37/9.99    spl2737_2879 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X2 | ~pp(aa(X0,bool,X1,sK2378(X0,X1,X2))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2879])])).
% 59.37/9.99  tff(f48458,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X2 | ~pp(aa(X0,bool,X1,sK2378(X0,X1,X2)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33287])).
% 59.37/9.99  tff(f33287,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((takeWhile(X0,X1,X2) = X2 | (~pp(aa(X0,bool,X1,sK2378(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2378(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | takeWhile(X0,X1,X2) != X2))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2378])],[f33285,f33286])).
% 59.37/9.99  tff(f33286,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) => (~pp(aa(X0,bool,X1,sK2378(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2378(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f33285,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((takeWhile(X0,X1,X2) = X2 | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | takeWhile(X0,X1,X2) != X2))),
% 59.37/9.99    inference(rectify,[],[f33284])).
% 59.37/9.99  tff(f33284,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((takeWhile(X0,X1,X2) = X2 | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | takeWhile(X0,X1,X2) != X2))),
% 59.37/9.99    inference(nnf_transformation,[],[f26282])).
% 59.37/9.99  tff(f26282,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (takeWhile(X0,X1,X2) = X2 <=> ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/9.99    inference(ennf_transformation,[],[f17443])).
% 59.37/9.99  tff(f17443,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (takeWhile(X0,X1,X2) = X2 <=> ! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))) => pp(aa(X0,bool,X1,X3))))),
% 59.37/9.99    inference(rectify,[],[f5333])).
% 59.37/9.99  tff(f5333,axiom,(
% 59.37/9.99    ! [X0 : $tType,X17 : fun(X0,bool),X123 : list(X0)] : (takeWhile(X0,X17,X123) = X123 <=> ! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123))) => pp(aa(X0,bool,X17,X115))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5332_takeWhile__eq__all__conv)).
% 59.37/9.99  tff(f82287,plain,(
% 59.37/9.99    spl2737_2878),
% 59.37/9.99    inference(avatar_split_clause,[],[f48398,f82285])).
% 59.37/9.99  tff(f82285,plain,(
% 59.37/9.99    spl2737_2878 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP463(X2,X1,X0) | sP462(X2,X1,X0) | zero_zero(int) = X1 | ~sP464(X0,X1,X2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2878])])).
% 59.37/9.99  tff(f48398,plain,(
% 59.37/9.99    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP463(X2,X1,X0) | sP462(X2,X1,X0) | zero_zero(int) = X1 | ~sP464(X0,X1,X2)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33247])).
% 59.37/9.99  tff(f82283,plain,(
% 59.37/9.99    spl2737_2877),
% 59.37/9.99    inference(avatar_split_clause,[],[f48328,f82281])).
% 59.37/9.99  tff(f82281,plain,(
% 59.37/9.99    spl2737_2877 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X1,X2)) | ~pp(aa(list(X0),bool,X1,sK2318(X0,X1))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2877])])).
% 59.37/9.99  tff(f48328,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X1,X2)) | ~pp(aa(list(X0),bool,X1,sK2318(X0,X1)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33155])).
% 59.37/9.99  tff(f33155,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (pp(aa(list(X0),bool,X1,X2)) | (~pp(aa(list(X0),bool,X1,sK2318(X0,X1))) & ! [X4 : list(X0)] : (pp(aa(list(X0),bool,X1,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),sK2318(X0,X1)))))))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2318])],[f26247,f33154])).
% 59.37/9.99  tff(f33154,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(list(X0),bool)] : (? [X3 : list(X0)] : (~pp(aa(list(X0),bool,X1,X3)) & ! [X4 : list(X0)] : (pp(aa(list(X0),bool,X1,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),X3))))) => (~pp(aa(list(X0),bool,X1,sK2318(X0,X1))) & ! [X4 : list(X0)] : (pp(aa(list(X0),bool,X1,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),sK2318(X0,X1)))))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f26247,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (pp(aa(list(X0),bool,X1,X2)) | ? [X3 : list(X0)] : (~pp(aa(list(X0),bool,X1,X3)) & ! [X4 : list(X0)] : (pp(aa(list(X0),bool,X1,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),X3))))))),
% 59.37/9.99    inference(ennf_transformation,[],[f17410])).
% 59.37/9.99  tff(f17410,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (! [X3 : list(X0)] : (! [X4 : list(X0)] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X4)),aa(list(X0),nat,size_size(list(X0)),X3))) => pp(aa(list(X0),bool,X1,X4))) => pp(aa(list(X0),bool,X1,X3))) => pp(aa(list(X0),bool,X1,X2)))),
% 59.37/9.99    inference(rectify,[],[f2524])).
% 59.37/9.99  tff(f2524,axiom,(
% 59.37/9.99    ! [X0 : $tType,X17 : fun(list(X0),bool),X123 : list(X0)] : (! [X163 : list(X0)] : (! [X164 : list(X0)] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(list(X0),nat,size_size(list(X0)),X164)),aa(list(X0),nat,size_size(list(X0)),X163))) => pp(aa(list(X0),bool,X17,X164))) => pp(aa(list(X0),bool,X17,X163))) => pp(aa(list(X0),bool,X17,X123)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2523_length__induct)).
% 59.37/9.99  tff(f82279,plain,(
% 59.37/9.99    spl2737_2876),
% 59.37/9.99    inference(avatar_split_clause,[],[f48236,f82277])).
% 59.37/9.99  tff(f82277,plain,(
% 59.37/9.99    spl2737_2876 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK2271(X1),sK2272(X1),sK2273(X1)) = X1 | ~sP457(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2876])])).
% 59.37/9.99  tff(f48236,plain,(
% 59.37/9.99    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Node(none(product_prod(nat,nat)),sK2271(X1),sK2272(X1),sK2273(X1)) = X1 | ~sP457(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f33059])).
% 59.37/9.99  tff(f33059,plain,(
% 59.37/9.99    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Node(none(product_prod(nat,nat)),sK2271(X1),sK2272(X1),sK2273(X1)) = X1) | ~sP457(X0,X1))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2271,sK2272,sK2273])],[f33057,f33058])).
% 59.37/9.99  tff(f33058,plain,(
% 59.37/9.99    ! [X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1 => vEBT_Node(none(product_prod(nat,nat)),sK2271(X1),sK2272(X1),sK2273(X1)) = X1)),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f33057,plain,(
% 59.37/9.99    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP457(X0,X1))),
% 59.37/9.99    inference(rectify,[],[f33056])).
% 59.37/9.99  tff(f33056,plain,(
% 59.37/9.99    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP457(X2,X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f27763])).
% 59.37/9.99  tff(f27763,plain,(
% 59.37/9.99    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP457(X2,X0))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP457])])).
% 59.37/9.99  tff(f82272,plain,(
% 59.37/9.99    spl2737_2875 | ~spl2737_2874),
% 59.37/9.99    inference(avatar_split_clause,[],[f82268,f82265,f82270])).
% 59.37/9.99  tff(f82270,plain,(
% 59.37/9.99    spl2737_2875 <=> ! [X0 : fun(nat,fun(nat,bool))] : (~pp(aa(nat,bool,combc(nat,nat,bool,X0,sK2097(X0)),sK2095(X0))) | ~sP390(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2875])])).
% 59.37/9.99  tff(f82265,plain,(
% 59.37/9.99    spl2737_2874 <=> ! [X0 : fun(nat,fun(nat,bool))] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2097(X0))) | ~sP390(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2874])])).
% 59.37/9.99  tff(f82268,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (~pp(aa(nat,bool,combc(nat,nat,bool,X0,sK2097(X0)),sK2095(X0))) | ~sP390(X0)) ) | ~spl2737_2874),
% 59.37/9.99    inference(forward_demodulation,[],[f82266,f50171])).
% 59.37/9.99  tff(f82266,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2097(X0))) | ~sP390(X0)) ) | ~spl2737_2874),
% 59.37/9.99    inference(avatar_component_clause,[],[f82265])).
% 59.37/9.99  tff(f82267,plain,(
% 59.37/9.99    spl2737_2874),
% 59.37/9.99    inference(avatar_split_clause,[],[f47689,f82265])).
% 59.37/9.99  tff(f47689,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2097(X0))) | ~sP390(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32707])).
% 59.37/9.99  tff(f82256,plain,(
% 59.37/9.99    spl2737_2873 | ~spl2737_2872),
% 59.37/9.99    inference(avatar_split_clause,[],[f82252,f82249,f82254])).
% 59.37/9.99  tff(f82254,plain,(
% 59.37/9.99    spl2737_2873 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,X0,sK2097(X0)),sK2096(X0))) | ~sP390(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2873])])).
% 59.37/9.99  tff(f82249,plain,(
% 59.37/9.99    spl2737_2872 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2096(X0)),sK2097(X0))) | ~sP390(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2872])])).
% 59.37/9.99  tff(f82252,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,X0,sK2097(X0)),sK2096(X0))) | ~sP390(X0)) ) | ~spl2737_2872),
% 59.37/9.99    inference(forward_demodulation,[],[f82250,f50171])).
% 59.37/9.99  tff(f82250,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2096(X0)),sK2097(X0))) | ~sP390(X0)) ) | ~spl2737_2872),
% 59.37/9.99    inference(avatar_component_clause,[],[f82249])).
% 59.37/9.99  tff(f82251,plain,(
% 59.37/9.99    spl2737_2872),
% 59.37/9.99    inference(avatar_split_clause,[],[f47688,f82249])).
% 59.37/9.99  tff(f47688,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2096(X0)),sK2097(X0))) | ~sP390(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32707])).
% 59.37/9.99  tff(f82240,plain,(
% 59.37/9.99    spl2737_2871 | ~spl2737_2870),
% 59.37/9.99    inference(avatar_split_clause,[],[f82236,f82233,f82238])).
% 59.37/9.99  tff(f82238,plain,(
% 59.37/9.99    spl2737_2871 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,X0,sK2096(X0)),sK2095(X0))) | ~sP390(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2871])])).
% 59.37/9.99  tff(f82233,plain,(
% 59.37/9.99    spl2737_2870 <=> ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2096(X0))) | ~sP390(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2870])])).
% 59.37/9.99  tff(f82236,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,combc(nat,nat,bool,X0,sK2096(X0)),sK2095(X0))) | ~sP390(X0)) ) | ~spl2737_2870),
% 59.37/9.99    inference(forward_demodulation,[],[f82234,f50171])).
% 59.37/9.99  tff(f82234,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2096(X0))) | ~sP390(X0)) ) | ~spl2737_2870),
% 59.37/9.99    inference(avatar_component_clause,[],[f82233])).
% 59.37/9.99  tff(f82235,plain,(
% 59.37/9.99    spl2737_2870),
% 59.37/9.99    inference(avatar_split_clause,[],[f47687,f82233])).
% 59.37/9.99  tff(f47687,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,fun(nat,bool))] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),X0,sK2095(X0)),sK2096(X0))) | ~sP390(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32707])).
% 59.37/9.99  tff(f82231,plain,(
% 59.37/9.99    spl2737_2869),
% 59.37/9.99    inference(avatar_split_clause,[],[f47437,f82229])).
% 59.37/9.99  tff(f82229,plain,(
% 59.37/9.99    spl2737_2869 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,fun(X0,bool))] : (sorted_wrt(X0,X1,sK2034(X0,X1,X2)) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2869])])).
% 59.37/9.99  tff(f47437,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,fun(X0,bool))] : (sorted_wrt(X0,X1,sK2034(X0,X1,X2)) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32587])).
% 59.37/9.99  tff(f32587,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0)] : ((sorted_wrt(X0,X1,sK2034(X0,X1,X2)) & ! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK2033(X0,X1,X2)),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),sK2034(X0,X1,X2))))) & cons(X0,sK2033(X0,X1,X2),sK2034(X0,X1,X2)) = X2) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2033,sK2034])],[f25629,f32586])).
% 59.37/9.99  tff(f32586,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0)] : (? [X3 : X0,X4 : list(X0)] : (sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X4)))) & cons(X0,X3,X4) = X2) => (sorted_wrt(X0,X1,sK2034(X0,X1,X2)) & ! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,sK2033(X0,X1,X2)),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),sK2034(X0,X1,X2))))) & cons(X0,sK2033(X0,X1,X2),sK2034(X0,X1,X2)) = X2))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f25629,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0)] : (? [X3 : X0,X4 : list(X0)] : (sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X4)))) & cons(X0,X3,X4) = X2) | nil(X0) = X2 | ~sorted_wrt(X0,X1,X2))),
% 59.37/9.99    inference(flattening,[],[f25628])).
% 59.37/9.99  tff(f25628,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0)] : ((? [X3 : X0,X4 : list(X0)] : ((sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X4))))) & cons(X0,X3,X4) = X2) | nil(X0) = X2) | ~sorted_wrt(X0,X1,X2))),
% 59.37/9.99    inference(ennf_transformation,[],[f17015])).
% 59.37/9.99  tff(f17015,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0)] : (sorted_wrt(X0,X1,X2) => (nil(X0) != X2 => ~! [X3 : X0,X4 : list(X0)] : (cons(X0,X3,X4) = X2 => ~(sorted_wrt(X0,X1,X4) & ! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X4))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X3),X5)))))))),
% 59.37/9.99    inference(rectify,[],[f5406])).
% 59.37/9.99  tff(f5406,axiom,(
% 59.37/9.99    ! [X0 : $tType,X14 : fun(X0,fun(X0,bool)),X135 : list(X0)] : (sorted_wrt(X0,X14,X135) => (nil(X0) != X135 => ~! [X20 : X0,X239 : list(X0)] : (cons(X0,X20,X239) = X135 => ~(sorted_wrt(X0,X14,X239) & ! [X66 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X66),aa(list(X0),set(X0),set2(X0),X239))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),X14,X20),X66)))))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5405_sorted__wrt_Oelims_I2_J)).
% 59.37/9.99  tff(f82227,plain,(
% 59.37/9.99    spl2737_2868),
% 59.37/9.99    inference(avatar_split_clause,[],[f47430,f82225])).
% 59.37/9.99  tff(f82225,plain,(
% 59.37/9.99    spl2737_2868 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP379(X0,X1,X2) | sP380(X0,X1,X2) | zero_zero(int) = X1 | ~eucl_rel_int(X0,X1,X2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2868])])).
% 59.37/9.99  tff(f47430,plain,(
% 59.37/9.99    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP379(X0,X1,X2) | sP380(X0,X1,X2) | zero_zero(int) = X1 | ~eucl_rel_int(X0,X1,X2)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f27664])).
% 59.37/9.99  tff(f27664,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (sP379(X0,X1,X2) | sP380(X0,X1,X2) | (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0) = X2 & zero_zero(int) = X1) | ~eucl_rel_int(X0,X1,X2))),
% 59.37/9.99    inference(definition_folding,[],[f25624,f27663,f27662])).
% 59.37/9.99  tff(f27662,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) = X0 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1))) & aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4) & aa(int,product_prod(int,int),product_Pair(int,int,X5),X4) = X2) | ~sP379(X0,X1,X2))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP379])])).
% 59.37/9.99  tff(f27663,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),product_Pair(int,int,X3),zero_zero(int)) = X2) | ~sP380(X0,X1,X2))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP380])])).
% 59.37/9.99  tff(f25624,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) = X0 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1))) & aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4) & aa(int,product_prod(int,int),product_Pair(int,int,X5),X4) = X2) | ? [X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),product_Pair(int,int,X3),zero_zero(int)) = X2) | (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0) = X2 & zero_zero(int) = X1) | ~eucl_rel_int(X0,X1,X2))),
% 59.37/9.99    inference(flattening,[],[f25623])).
% 59.37/9.99  tff(f25623,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (((? [X4 : int,X5 : int] : (((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) = X0 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1)))) & aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4)) & aa(int,product_prod(int,int),product_Pair(int,int,X5),X4) = X2) | ? [X3 : int] : ((aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1) & aa(int,product_prod(int,int),product_Pair(int,int,X3),zero_zero(int)) = X2)) | (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0) = X2 & zero_zero(int) = X1)) | ~eucl_rel_int(X0,X1,X2))),
% 59.37/9.99    inference(ennf_transformation,[],[f17011])).
% 59.37/9.99  tff(f17011,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) => ((zero_zero(int) = X1 => aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0) != X2) => (! [X3 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,X3),zero_zero(int)) = X2 => (zero_zero(int) != X1 => aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) != X0)) => ~! [X4 : int,X5 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,X5),X4) = X2 => (aa(int,int,sgn_sgn(int),X1) = aa(int,int,sgn_sgn(int),X4) => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X4)),aa(int,int,abs_abs(int),X1))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X5),X1)),X4) != X0))))))),
% 59.37/9.99    inference(rectify,[],[f3344])).
% 59.37/9.99  tff(f3344,axiom,(
% 59.37/9.99    ! [X179 : int,X180 : int,X203 : product_prod(int,int)] : (eucl_rel_int(X179,X180,X203) => ((zero_zero(int) = X180 => aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X179) != X203) => (! [X57 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,X57),zero_zero(int)) = X203 => (zero_zero(int) != X180 => aa(int,int,aa(int,fun(int,int),times_times(int),X57),X180) != X179)) => ~! [X144 : int,X57 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,X57),X144) = X203 => (aa(int,int,sgn_sgn(int),X144) = aa(int,int,sgn_sgn(int),X180) => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X144)),aa(int,int,abs_abs(int),X180))) => aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X57),X180)),X144) != X179))))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3343_eucl__rel__int_Ocases)).
% 59.37/9.99  tff(f82223,plain,(
% 59.37/9.99    spl2737_2867),
% 59.37/9.99    inference(avatar_split_clause,[],[f47409,f82221])).
% 59.37/9.99  tff(f82221,plain,(
% 59.37/9.99    spl2737_2867 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2) | ~pp(aa(nat,bool,vEBT_vebt_member(X0),X2)) | ~vEBT_invar_vebt(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2867])])).
% 59.37/9.99  tff(f47409,plain,(
% 59.37/9.99    ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2) | ~pp(aa(nat,bool,vEBT_vebt_member(X0),X2)) | ~vEBT_invar_vebt(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f25609])).
% 59.37/9.99  tff(f25609,plain,(
% 59.37/9.99    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2) | ~pp(aa(nat,bool,vEBT_vebt_member(X0),X2)) | ~vEBT_invar_vebt(X0,X1))),
% 59.37/9.99    inference(flattening,[],[f25608])).
% 59.37/9.99  tff(f25608,plain,(
% 59.37/9.99    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (((vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2)) | ~pp(aa(nat,bool,vEBT_vebt_member(X0),X2))) | ~vEBT_invar_vebt(X0,X1))),
% 59.37/9.99    inference(ennf_transformation,[],[f17000])).
% 59.37/9.99  tff(f17000,plain,(
% 59.37/9.99    ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => (pp(aa(nat,bool,vEBT_vebt_member(X0),X2)) => (vEBT_VEBT_membermima(X0,X2) | vEBT_V5719532721284313246member(X0,X2))))),
% 59.37/9.99    inference(rectify,[],[f271])).
% 59.37/9.99  tff(f271,axiom,(
% 59.37/9.99    ! [X65 : vEBT_VEBT,X8 : nat,X14 : nat] : (vEBT_invar_vebt(X65,X8) => (pp(aa(nat,bool,vEBT_vebt_member(X65),X14)) => (vEBT_VEBT_membermima(X65,X14) | vEBT_V5719532721284313246member(X65,X14))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_member__valid__both__member__options)).
% 59.37/9.99  tff(f82180,plain,(
% 59.37/9.99    spl2737_2866 | ~spl2737_2865),
% 59.37/9.99    inference(avatar_split_clause,[],[f82176,f82173,f82178])).
% 59.37/9.99  tff(f82178,plain,(
% 59.37/9.99    spl2737_2866 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,fequal(X0),X2),X1)) | X1 = X2)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2866])])).
% 59.37/9.99  tff(f82173,plain,(
% 59.37/9.99    spl2737_2865 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2865])])).
% 59.37/9.99  tff(f82176,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,fequal(X0),X2),X1)) | X1 = X2) ) | ~spl2737_2865),
% 59.37/9.99    inference(forward_demodulation,[],[f82174,f50171])).
% 59.37/9.99  tff(f82174,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2))) ) | ~spl2737_2865),
% 59.37/9.99    inference(avatar_component_clause,[],[f82173])).
% 59.37/9.99  tff(f82175,plain,(
% 59.37/9.99    spl2737_2865),
% 59.37/9.99    inference(avatar_split_clause,[],[f47309,f82173])).
% 59.37/9.99  tff(f47309,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f16953])).
% 59.37/9.99  tff(f16953,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : X0,X2 : X0] : (X1 = X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X1),X2)))),
% 59.37/9.99    inference(rectify,[],[f9891])).
% 59.37/9.99  tff(f9891,axiom,(
% 59.37/9.99    ! [X0 : $tType,X14 : X0,X15 : X0] : (X14 = X15 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X14),X15)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_T)).
% 59.37/9.99  tff(f82171,plain,(
% 59.37/9.99    spl2737_2864),
% 59.37/9.99    inference(avatar_split_clause,[],[f47086,f82169])).
% 59.37/9.99  tff(f82169,plain,(
% 59.37/9.99    spl2737_2864 <=> ! [X0 : $tType,X2 : list(X0),X1 : nat] : drop(X0,aa(nat,nat,suc,X1),X2) = drop(X0,X1,tl(X0,X2))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2864])])).
% 59.37/9.99  tff(f47086,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : list(X0),X1 : nat] : (drop(X0,aa(nat,nat,suc,X1),X2) = drop(X0,X1,tl(X0,X2))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f16743])).
% 59.37/9.99  tff(f16743,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : nat,X2 : list(X0)] : drop(X0,aa(nat,nat,suc,X1),X2) = drop(X0,X1,tl(X0,X2))),
% 59.37/9.99    inference(rectify,[],[f5557])).
% 59.37/9.99  tff(f5557,axiom,(
% 59.37/9.99    ! [X0 : $tType,X8 : nat,X123 : list(X0)] : drop(X0,aa(nat,nat,suc,X8),X123) = drop(X0,X8,tl(X0,X123))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5556_drop__Suc)).
% 59.37/9.99  tff(f82136,plain,(
% 59.37/9.99    spl2737_2863 | ~spl2737_2862),
% 59.37/9.99    inference(avatar_split_clause,[],[f82132,f82129,f82134])).
% 59.37/9.99  tff(f82134,plain,(
% 59.37/9.99    spl2737_2863 <=> ! [X0 : int,X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X1),X0)) | sP358(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2863])])).
% 59.37/9.99  tff(f82129,plain,(
% 59.37/9.99    spl2737_2862 <=> ! [X0 : int,X1 : int] : (sP358(X0,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2862])])).
% 59.37/9.99  tff(f82132,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (~pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),X1),X0)) | sP358(X0,X1)) ) | ~spl2737_2862),
% 59.37/9.99    inference(forward_demodulation,[],[f82130,f50171])).
% 59.37/9.99  tff(f82130,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (sP358(X0,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1))) ) | ~spl2737_2862),
% 59.37/9.99    inference(avatar_component_clause,[],[f82129])).
% 59.37/9.99  tff(f82131,plain,(
% 59.37/9.99    spl2737_2862),
% 59.37/9.99    inference(avatar_split_clause,[],[f46728,f82129])).
% 59.37/9.99  tff(f46728,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (sP358(X0,X1) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32262])).
% 59.37/9.99  tff(f82125,plain,(
% 59.37/9.99    spl2737_2861 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2860),
% 59.37/9.99    inference(avatar_split_clause,[],[f82121,f82118,f77642,f65679,f82123])).
% 59.37/9.99  tff(f82123,plain,(
% 59.37/9.99    spl2737_2861 <=> ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X0 | one_one(int) = X0 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2861])])).
% 59.37/9.99  tff(f82118,plain,(
% 59.37/9.99    spl2737_2860 <=> ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2860])])).
% 59.37/9.99  tff(f82121,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X0 | one_one(int) = X0 | ~sP357(X0,X1)) ) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2860)),
% 59.37/9.99    inference(forward_demodulation,[],[f82119,f78511])).
% 59.37/9.99  tff(f82119,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP357(X0,X1)) ) | ~spl2737_2860),
% 59.37/9.99    inference(avatar_component_clause,[],[f82118])).
% 59.37/9.99  tff(f82120,plain,(
% 59.37/9.99    spl2737_2860),
% 59.37/9.99    inference(avatar_split_clause,[],[f46629,f82118])).
% 59.37/9.99  tff(f46629,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP357(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32206])).
% 59.37/9.99  tff(f32206,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : ((sP357(X0,X1) | ((aa(int,int,uminus_uminus(int),one_one(int)) != X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1) & (one_one(int) != X0 | one_one(int) != X1))) & ((aa(int,int,uminus_uminus(int),one_one(int)) = X0 & aa(int,int,uminus_uminus(int),one_one(int)) = X1) | (one_one(int) = X0 & one_one(int) = X1) | ~sP357(X0,X1)))),
% 59.37/9.99    inference(rectify,[],[f32205])).
% 59.37/9.99  tff(f32205,plain,(
% 59.37/9.99    ! [X1 : int,X0 : int] : ((sP357(X1,X0) | ((aa(int,int,uminus_uminus(int),one_one(int)) != X1 | aa(int,int,uminus_uminus(int),one_one(int)) != X0) & (one_one(int) != X1 | one_one(int) != X0))) & ((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0) | ~sP357(X1,X0)))),
% 59.37/9.99    inference(flattening,[],[f32204])).
% 59.37/9.99  tff(f32204,plain,(
% 59.37/9.99    ! [X1 : int,X0 : int] : ((sP357(X1,X0) | ((aa(int,int,uminus_uminus(int),one_one(int)) != X1 | aa(int,int,uminus_uminus(int),one_one(int)) != X0) & (one_one(int) != X1 | one_one(int) != X0))) & (((aa(int,int,uminus_uminus(int),one_one(int)) = X1 & aa(int,int,uminus_uminus(int),one_one(int)) = X0) | (one_one(int) = X1 & one_one(int) = X0)) | ~sP357(X1,X0)))),
% 59.37/9.99    inference(nnf_transformation,[],[f27626])).
% 59.37/9.99  tff(f82114,plain,(
% 59.37/9.99    spl2737_2859 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2858),
% 59.37/9.99    inference(avatar_split_clause,[],[f82110,f82107,f77642,f65679,f82112])).
% 59.37/9.99  tff(f82112,plain,(
% 59.37/9.99    spl2737_2859 <=> ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X0 | one_one(int) = X1 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2859])])).
% 59.37/9.99  tff(f82107,plain,(
% 59.37/9.99    spl2737_2858 <=> ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X1 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2858])])).
% 59.37/9.99  tff(f82110,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X0 | one_one(int) = X1 | ~sP357(X0,X1)) ) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2858)),
% 59.37/9.99    inference(forward_demodulation,[],[f82108,f78511])).
% 59.37/9.99  tff(f82108,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X1 | ~sP357(X0,X1)) ) | ~spl2737_2858),
% 59.37/9.99    inference(avatar_component_clause,[],[f82107])).
% 59.37/9.99  tff(f82109,plain,(
% 59.37/9.99    spl2737_2858),
% 59.37/9.99    inference(avatar_split_clause,[],[f46628,f82107])).
% 59.37/9.99  tff(f46628,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X1 | ~sP357(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32206])).
% 59.37/9.99  tff(f82103,plain,(
% 59.37/9.99    spl2737_2857 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2856),
% 59.37/9.99    inference(avatar_split_clause,[],[f82099,f82096,f77642,f65679,f82101])).
% 59.37/9.99  tff(f82101,plain,(
% 59.37/9.99    spl2737_2857 <=> ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X1 | one_one(int) = X0 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2857])])).
% 59.37/9.99  tff(f82096,plain,(
% 59.37/9.99    spl2737_2856 <=> ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X0 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2856])])).
% 59.37/9.99  tff(f82099,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X1 | one_one(int) = X0 | ~sP357(X0,X1)) ) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2856)),
% 59.37/9.99    inference(forward_demodulation,[],[f82097,f78511])).
% 59.37/9.99  tff(f82097,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X0 | ~sP357(X0,X1)) ) | ~spl2737_2856),
% 59.37/9.99    inference(avatar_component_clause,[],[f82096])).
% 59.37/9.99  tff(f82098,plain,(
% 59.37/9.99    spl2737_2856),
% 59.37/9.99    inference(avatar_split_clause,[],[f46627,f82096])).
% 59.37/9.99  tff(f46627,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X0 | ~sP357(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32206])).
% 59.37/9.99  tff(f82092,plain,(
% 59.37/9.99    spl2737_2855 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2854),
% 59.37/9.99    inference(avatar_split_clause,[],[f82088,f82085,f77642,f65679,f82090])).
% 59.37/9.99  tff(f82090,plain,(
% 59.37/9.99    spl2737_2855 <=> ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X1 | one_one(int) = X1 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2855])])).
% 59.37/9.99  tff(f82085,plain,(
% 59.37/9.99    spl2737_2854 <=> ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP357(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2854])])).
% 59.37/9.99  tff(f82088,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X1 | one_one(int) = X1 | ~sP357(X0,X1)) ) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2854)),
% 59.37/9.99    inference(forward_demodulation,[],[f82086,f78511])).
% 59.37/9.99  tff(f82086,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP357(X0,X1)) ) | ~spl2737_2854),
% 59.37/9.99    inference(avatar_component_clause,[],[f82085])).
% 59.37/9.99  tff(f82087,plain,(
% 59.37/9.99    spl2737_2854),
% 59.37/9.99    inference(avatar_split_clause,[],[f46626,f82085])).
% 59.37/9.99  tff(f46626,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP357(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32206])).
% 59.37/9.99  tff(f82079,plain,(
% 59.37/9.99    spl2737_2853 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2852),
% 59.37/9.99    inference(avatar_split_clause,[],[f82075,f82072,f77642,f65679,f82077])).
% 59.37/9.99  tff(f82077,plain,(
% 59.37/9.99    spl2737_2853 <=> ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X0 | one_one(int) = X0 | ~sP356(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2853])])).
% 59.37/9.99  tff(f82072,plain,(
% 59.37/9.99    spl2737_2852 <=> ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP356(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2852])])).
% 59.37/9.99  tff(f82075,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X0 | one_one(int) = X0 | ~sP356(X0,X1)) ) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2852)),
% 59.37/9.99    inference(forward_demodulation,[],[f82073,f78511])).
% 59.37/9.99  tff(f82073,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP356(X0,X1)) ) | ~spl2737_2852),
% 59.37/9.99    inference(avatar_component_clause,[],[f82072])).
% 59.37/9.99  tff(f82074,plain,(
% 59.37/9.99    spl2737_2852),
% 59.37/9.99    inference(avatar_split_clause,[],[f46619,f82072])).
% 59.37/9.99  tff(f46619,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0 | ~sP356(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32202])).
% 59.37/9.99  tff(f32202,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : ((sP356(X0,X1) | (aa(int,int,uminus_uminus(int),one_one(int)) != X0 & one_one(int) != X0) | (aa(int,int,uminus_uminus(int),one_one(int)) != X1 & one_one(int) != X1)) & (((aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0) & (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1)) | ~sP356(X0,X1)))),
% 59.37/9.99    inference(rectify,[],[f32201])).
% 59.37/9.99  tff(f32201,plain,(
% 59.37/9.99    ! [X1 : int,X0 : int] : ((sP356(X1,X0) | (aa(int,int,uminus_uminus(int),one_one(int)) != X1 & one_one(int) != X1) | (aa(int,int,uminus_uminus(int),one_one(int)) != X0 & one_one(int) != X0)) & (((aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1) & (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0)) | ~sP356(X1,X0)))),
% 59.37/9.99    inference(flattening,[],[f32200])).
% 59.37/9.99  tff(f32200,plain,(
% 59.37/9.99    ! [X1 : int,X0 : int] : ((sP356(X1,X0) | ((aa(int,int,uminus_uminus(int),one_one(int)) != X1 & one_one(int) != X1) | (aa(int,int,uminus_uminus(int),one_one(int)) != X0 & one_one(int) != X0))) & (((aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1) & (aa(int,int,uminus_uminus(int),one_one(int)) = X0 | one_one(int) = X0)) | ~sP356(X1,X0)))),
% 59.37/9.99    inference(nnf_transformation,[],[f27624])).
% 59.37/9.99  tff(f82066,plain,(
% 59.37/9.99    spl2737_2851 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2850),
% 59.37/9.99    inference(avatar_split_clause,[],[f82062,f82059,f77642,f65679,f82064])).
% 59.37/9.99  tff(f82064,plain,(
% 59.37/9.99    spl2737_2851 <=> ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X1 | one_one(int) = X1 | ~sP356(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2851])])).
% 59.37/9.99  tff(f82059,plain,(
% 59.37/9.99    spl2737_2850 <=> ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP356(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2850])])).
% 59.37/9.99  tff(f82062,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (neg_numeral_dbl_dec(int,zero_zero(int)) = X1 | one_one(int) = X1 | ~sP356(X0,X1)) ) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2850)),
% 59.37/9.99    inference(forward_demodulation,[],[f82060,f78511])).
% 59.37/9.99  tff(f82060,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP356(X0,X1)) ) | ~spl2737_2850),
% 59.37/9.99    inference(avatar_component_clause,[],[f82059])).
% 59.37/9.99  tff(f82061,plain,(
% 59.37/9.99    spl2737_2850),
% 59.37/9.99    inference(avatar_split_clause,[],[f46618,f82059])).
% 59.37/9.99  tff(f46618,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (aa(int,int,uminus_uminus(int),one_one(int)) = X1 | one_one(int) = X1 | ~sP356(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32202])).
% 59.37/9.99  tff(f82057,plain,(
% 59.37/9.99    spl2737_2849),
% 59.37/9.99    inference(avatar_split_clause,[],[f46613,f82055])).
% 59.37/9.99  tff(f82055,plain,(
% 59.37/9.99    spl2737_2849 <=> ! [X0 : fun(nat,rat),X1 : real] : (cauchy(X0) | ~pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2849])])).
% 59.37/9.99  tff(f46613,plain,(
% 59.37/9.99    ( ! [X0 : fun(nat,rat),X1 : real] : (cauchy(X0) | ~pp(aa(real,bool,aa(fun(nat,rat),fun(real,bool),pcr_real,X0),X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32198])).
% 59.37/9.99  tff(f82053,plain,(
% 59.37/9.99    spl2737_2848),
% 59.37/9.99    inference(avatar_split_clause,[],[f46464,f82051])).
% 59.37/9.99  tff(f82051,plain,(
% 59.37/9.99    spl2737_2848 <=> ! [X0 : real,X1 : real] : (sin(real,X1) = X0 | ~pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X0),X1)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2848])])).
% 59.37/9.99  tff(f46464,plain,(
% 59.37/9.99    ( ! [X0 : real,X1 : real] : (sin(real,X1) = X0 | ~pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X0),X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32098])).
% 59.37/9.99  tff(f32098,plain,(
% 59.37/9.99    ! [X0 : real,X1 : real] : ((pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X0),X1)) | sin(real,X1) != X0 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1))) & ((sin(real,X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1))) | ~pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X0),X1))))),
% 59.37/9.99    inference(flattening,[],[f32097])).
% 59.37/9.99  tff(f32097,plain,(
% 59.37/9.99    ! [X0 : real,X1 : real] : ((pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X0),X1)) | (sin(real,X1) != X0 | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1)))) & ((sin(real,X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1))) | ~pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X0),X1))))),
% 59.37/9.99    inference(nnf_transformation,[],[f16498])).
% 59.37/9.99  tff(f16498,plain,(
% 59.37/9.99    ! [X0 : real,X1 : real] : (pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X0),X1)) <=> (sin(real,X1) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X1))))),
% 59.37/9.99    inference(rectify,[],[f8199])).
% 59.37/9.99  tff(f8199,axiom,(
% 59.37/9.99    ! [X94 : real,X353 : real] : (pp(aa(real,bool,aTP_Lamp_ho(real,fun(real,bool),X94),X353)) <=> (sin(real,X353) = X94 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X353),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),X353))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8198_ATP_Olambda__83)).
% 59.37/9.99  tff(f82049,plain,(
% 59.37/9.99    spl2737_2847),
% 59.37/9.99    inference(avatar_split_clause,[],[f46423,f82047])).
% 59.37/9.99  tff(f82047,plain,(
% 59.37/9.99    spl2737_2847 <=> ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) | nil(X0) != sK1955(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2847])])).
% 59.37/9.99  tff(f46423,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) | nil(X0) != sK1955(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32074])).
% 59.37/9.99  tff(f32074,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(list(X0)) = transpose(X0,X1) | (nil(X0) != sK1955(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1955(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(list(X0)) != transpose(X0,X1)))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1955])],[f32072,f32073])).
% 59.37/9.99  tff(f32073,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => (nil(X0) != sK1955(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1955(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f32072,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(list(X0)) = transpose(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(list(X0)) != transpose(X0,X1)))),
% 59.37/9.99    inference(rectify,[],[f32071])).
% 59.37/9.99  tff(f32071,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(list(X0)) = transpose(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X2 : list(X0)] : (nil(X0) = X2 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(list(X0)) != transpose(X0,X1)))),
% 59.37/9.99    inference(nnf_transformation,[],[f25525])).
% 59.37/9.99  tff(f25525,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) <=> ! [X2 : list(X0)] : (nil(X0) = X2 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/9.99    inference(ennf_transformation,[],[f16483])).
% 59.37/9.99  tff(f16483,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X1) <=> ! [X2 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => nil(X0) = X2))),
% 59.37/9.99    inference(rectify,[],[f5288])).
% 59.37/9.99  tff(f5288,axiom,(
% 59.37/9.99    ! [X0 : $tType,X123 : list(list(X0))] : (nil(list(X0)) = transpose(X0,X123) <=> ! [X115 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X115),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X123))) => nil(X0) = X115))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5287_transpose__empty)).
% 59.37/9.99  tff(f82045,plain,(
% 59.37/9.99    spl2737_2846),
% 59.37/9.99    inference(avatar_split_clause,[],[f46417,f82043])).
% 59.37/9.99  tff(f82043,plain,(
% 59.37/9.99    spl2737_2846 <=> ! [X0 : $tType,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,sK1954(X0,X1))) | ~pp(aa(X0,bool,X1,fChoice(X0,X1))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2846])])).
% 59.37/9.99  tff(f46417,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,sK1954(X0,X1))) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f32069])).
% 59.37/9.99  tff(f32069,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : ((pp(aa(X0,bool,X1,fChoice(X0,X1))) | ! [X2 : X0] : ~pp(aa(X0,bool,X1,X2))) & (pp(aa(X0,bool,X1,sK1954(X0,X1))) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1954])],[f32067,f32068])).
% 59.37/9.99  tff(f32068,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X3 : X0] : pp(aa(X0,bool,X1,X3)) => pp(aa(X0,bool,X1,sK1954(X0,X1))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f32067,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : ((pp(aa(X0,bool,X1,fChoice(X0,X1))) | ! [X2 : X0] : ~pp(aa(X0,bool,X1,X2))) & (? [X3 : X0] : pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))))),
% 59.37/9.99    inference(rectify,[],[f32066])).
% 59.37/9.99  tff(f32066,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : ((pp(aa(X0,bool,X1,fChoice(X0,X1))) | ! [X2 : X0] : ~pp(aa(X0,bool,X1,X2))) & (? [X2 : X0] : pp(aa(X0,bool,X1,X2)) | ~pp(aa(X0,bool,X1,fChoice(X0,X1)))))),
% 59.37/9.99    inference(nnf_transformation,[],[f16481])).
% 59.37/9.99  tff(f16481,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,fChoice(X0,X1))) <=> ? [X2 : X0] : pp(aa(X0,bool,X1,X2)))),
% 59.37/9.99    inference(rectify,[],[f4040])).
% 59.37/9.99  tff(f4040,axiom,(
% 59.37/9.99    ! [X0 : $tType,X17 : fun(X0,bool)] : (pp(aa(X0,bool,X17,fChoice(X0,X17))) <=> ? [X114 : X0] : pp(aa(X0,bool,X17,X114)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4039_some__eq__ex)).
% 59.37/9.99  tff(f82041,plain,(
% 59.37/9.99    spl2737_2845),
% 59.37/9.99    inference(avatar_split_clause,[],[f46248,f82039])).
% 59.37/9.99  tff(f82039,plain,(
% 59.37/9.99    spl2737_2845 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP337(sK1910(X0,X1),sK1911(X0,X1),sK1913(X0,X1),sK1914(X0,X1)) | ~sP346(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2845])])).
% 59.37/9.99  tff(f46248,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP337(sK1910(X0,X1),sK1911(X0,X1),sK1913(X0,X1),sK1914(X0,X1)) | ~sP346(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f31931])).
% 59.37/9.99  tff(f31931,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP346(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP337(X2,X3,X5,X6) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) | ~sP339(X2,X6,X5) | ~sP338(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3) | ~vEBT_invar_vebt(X4,X3) | (~vEBT_invar_vebt(sK1909(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1909(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X0,X2,X4) != X1)) & ((sP337(sK1910(X0,X1),sK1911(X0,X1),sK1913(X0,X1),sK1914(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1914(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1913(X0,X1)),sK1914(X0,X1))) & sP339(sK1910(X0,X1),sK1914(X0,X1),sK1913(X0,X1)) & sP338(sK1912(X0,X1),sK1910(X0,X1),sK1911(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1911(X0,X1)),sK1911(X0,X1)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1911(X0,X1)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1910(X0,X1)) & vEBT_invar_vebt(sK1912(X0,X1),sK1911(X0,X1)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK1911(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1910(X0,X1))))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1913(X0,X1)),sK1914(X0,X1))),X0,sK1910(X0,X1),sK1912(X0,X1)) = X1) | ~sP346(X0,X1)))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1909,sK1910,sK1911,sK1912,sK1913,sK1914])],[f31928,f31930,f31929])).
% 59.37/9.99  tff(f31929,plain,(
% 59.37/9.99    ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (~vEBT_invar_vebt(sK1909(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1909(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f31930,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP337(X8,X9,X11,X12) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X11),X12)) & sP339(X8,X12,X11) & sP338(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),X9) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X9) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) & vEBT_invar_vebt(X10,X9) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X11),X12)),X0,X8,X10) = X1) => (sP337(sK1910(X0,X1),sK1911(X0,X1),sK1913(X0,X1),sK1914(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1914(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1913(X0,X1)),sK1914(X0,X1))) & sP339(sK1910(X0,X1),sK1914(X0,X1),sK1913(X0,X1)) & sP338(sK1912(X0,X1),sK1910(X0,X1),sK1911(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1911(X0,X1)),sK1911(X0,X1)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1911(X0,X1)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1910(X0,X1)) & vEBT_invar_vebt(sK1912(X0,X1),sK1911(X0,X1)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK1911(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1910(X0,X1))))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1913(X0,X1)),sK1914(X0,X1))),X0,sK1910(X0,X1),sK1912(X0,X1)) = X1))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f31928,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP346(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP337(X2,X3,X5,X6) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) | ~sP339(X2,X6,X5) | ~sP338(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X3) != X0 | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3) | ~vEBT_invar_vebt(X4,X3) | ? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X0,X2,X4) != X1)) & (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP337(X8,X9,X11,X12) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X11),X12)) & sP339(X8,X12,X11) & sP338(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),X9) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X9) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) & vEBT_invar_vebt(X10,X9) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X11),X12)),X0,X8,X10) = X1) | ~sP346(X0,X1)))),
% 59.37/9.99    inference(rectify,[],[f31927])).
% 59.37/9.99  tff(f31927,plain,(
% 59.37/9.99    ! [X1 : nat,X0 : vEBT_VEBT] : ((sP346(X1,X0) | ! [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : (~sP337(X14,X15,X17,X18) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X17),X18)) | ~sP339(X14,X18,X17) | ~sP338(X16,X14,X15) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) != X1 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) | ~vEBT_invar_vebt(X16,X15) | ? [X25 : vEBT_VEBT] : (~vEBT_invar_vebt(X25,X15) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X25),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X17),X18)),X1,X14,X16) != X0)) & (? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : (sP337(X14,X15,X17,X18) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X17),X18)) & sP339(X14,X18,X17) & sP338(X16,X14,X15) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X25),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X17),X18)),X1,X14,X16) = X0) | ~sP346(X1,X0)))),
% 59.37/9.99    inference(nnf_transformation,[],[f27607])).
% 59.37/9.99  tff(f27607,plain,(
% 59.37/9.99    ! [X1 : nat,X0 : vEBT_VEBT] : (sP346(X1,X0) <=> ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : (sP337(X14,X15,X17,X18) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X17),X18)) & sP339(X14,X18,X17) & sP338(X16,X14,X15) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X25),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X17),X18)),X1,X14,X16) = X0))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP346])])).
% 59.37/9.99  tff(f82037,plain,(
% 59.37/9.99    spl2737_2844),
% 59.37/9.99    inference(avatar_split_clause,[],[f46236,f82035])).
% 59.37/9.99  tff(f82035,plain,(
% 59.37/9.99    spl2737_2844 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP341(sK1904(X0,X1),sK1905(X0,X1),sK1907(X0,X1),sK1908(X0,X1)) | ~sP347(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2844])])).
% 59.37/9.99  tff(f46236,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP341(sK1904(X0,X1),sK1905(X0,X1),sK1907(X0,X1),sK1908(X0,X1)) | ~sP347(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f31926])).
% 59.37/9.99  tff(f31926,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP347(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP341(X2,X3,X5,X6) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) | ~sP343(X2,X6,X5) | ~sP342(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | (~vEBT_invar_vebt(sK1903(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1903(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X0,X2,X4) != X1)) & ((sP341(sK1904(X0,X1),sK1905(X0,X1),sK1907(X0,X1),sK1908(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1908(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1907(X0,X1)),sK1908(X0,X1))) & sP343(sK1904(X0,X1),sK1908(X0,X1),sK1907(X0,X1)) & sP342(sK1906(X0,X1),sK1904(X0,X1),sK1905(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1905(X0,X1)),aa(nat,nat,suc,sK1905(X0,X1))) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,sK1905(X0,X1))) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1904(X0,X1)) & vEBT_invar_vebt(sK1906(X0,X1),aa(nat,nat,suc,sK1905(X0,X1))) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK1905(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1904(X0,X1))))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1907(X0,X1)),sK1908(X0,X1))),X0,sK1904(X0,X1),sK1906(X0,X1)) = X1) | ~sP347(X0,X1)))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1903,sK1904,sK1905,sK1906,sK1907,sK1908])],[f31923,f31925,f31924])).
% 59.37/9.99  tff(f31924,plain,(
% 59.37/9.99    ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (~vEBT_invar_vebt(sK1903(X2,X3),X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK1903(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f31925,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP341(X8,X9,X11,X12) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X11),X12)) & sP343(X8,X12,X11) & sP342(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),aa(nat,nat,suc,X9)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X9)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) & vEBT_invar_vebt(X10,aa(nat,nat,suc,X9)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X11),X12)),X0,X8,X10) = X1) => (sP341(sK1904(X0,X1),sK1905(X0,X1),sK1907(X0,X1),sK1908(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1908(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1907(X0,X1)),sK1908(X0,X1))) & sP343(sK1904(X0,X1),sK1908(X0,X1),sK1907(X0,X1)) & sP342(sK1906(X0,X1),sK1904(X0,X1),sK1905(X0,X1)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1905(X0,X1)),aa(nat,nat,suc,sK1905(X0,X1))) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,sK1905(X0,X1))) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1904(X0,X1)) & vEBT_invar_vebt(sK1906(X0,X1),aa(nat,nat,suc,sK1905(X0,X1))) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,sK1905(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1904(X0,X1))))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1907(X0,X1)),sK1908(X0,X1))),X0,sK1904(X0,X1),sK1906(X0,X1)) = X1))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f31923,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP347(X0,X1) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP341(X2,X3,X5,X6) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) | ~sP343(X2,X6,X5) | ~sP342(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X0 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | ? [X7 : vEBT_VEBT] : (~vEBT_invar_vebt(X7,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X7),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X0,X2,X4) != X1)) & (? [X8 : list(vEBT_VEBT),X9 : nat,X10 : vEBT_VEBT,X11 : nat,X12 : nat] : (sP341(X8,X9,X11,X12) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X11),X12)) & sP343(X8,X12,X11) & sP342(X10,X8,X9) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),aa(nat,nat,suc,X9)) = X0 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X9)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X8) & vEBT_invar_vebt(X10,aa(nat,nat,suc,X9)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X9) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X8)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X11),X12)),X0,X8,X10) = X1) | ~sP347(X0,X1)))),
% 59.37/9.99    inference(rectify,[],[f31922])).
% 59.37/9.99  tff(f31922,plain,(
% 59.37/9.99    ! [X1 : nat,X0 : vEBT_VEBT] : ((sP347(X1,X0) | ! [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (~sP341(X2,X3,X5,X6) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) | ~sP343(X2,X6,X5) | ~sP342(X4,X2,X3) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) != X1 | aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) != aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) | ~vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) | ? [X13 : vEBT_VEBT] : (~vEBT_invar_vebt(X13,X3) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X1,X2,X4) != X0)) & (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (sP341(X2,X3,X5,X6) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) & sP343(X2,X6,X5) & sP342(X4,X2,X3) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X1,X2,X4) = X0) | ~sP347(X1,X0)))),
% 59.37/9.99    inference(nnf_transformation,[],[f27608])).
% 59.37/9.99  tff(f27608,plain,(
% 59.37/9.99    ! [X1 : nat,X0 : vEBT_VEBT] : (sP347(X1,X0) <=> ? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (sP341(X2,X3,X5,X6) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) & sP343(X2,X6,X5) & sP342(X4,X2,X3) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X1,X2,X4) = X0))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP347])])).
% 59.37/9.99  tff(f82033,plain,(
% 59.37/9.99    spl2737_2843),
% 59.37/9.99    inference(avatar_split_clause,[],[f45843,f82031])).
% 59.37/9.99  tff(f82031,plain,(
% 59.37/9.99    spl2737_2843 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : X1] : (aa(X0,X1,aTP_Lamp_rk(X1,fun(X0,X1),X2),X3) = X2 | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2843])])).
% 59.37/9.99  tff(f45843,plain,(
% 59.37/9.99    ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : (aa(X0,X1,aTP_Lamp_rk(X1,fun(X0,X1),X2),X3) = X2 | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f25167])).
% 59.37/9.99  tff(f25167,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_rk(X1,fun(X0,X1),X2),X3) = X2 | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/9.99    inference(flattening,[],[f25166])).
% 59.37/9.99  tff(f25166,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_rk(X1,fun(X0,X1),X2),X3) = X2 | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 59.37/9.99    inference(ennf_transformation,[],[f16255])).
% 59.37/9.99  tff(f16255,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_rk(X1,fun(X0,X1),X2),X3) = X2)),
% 59.37/9.99    inference(rectify,[],[f8938])).
% 59.37/9.99  tff(f8938,axiom,(
% 59.37/9.99    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X94 : X1,X353 : X0] : aa(X0,X1,aTP_Lamp_rk(X1,fun(X0,X1),X94),X353) = X94)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8937_ATP_Olambda__822)).
% 59.37/9.99  tff(f82029,plain,(
% 59.37/9.99    spl2737_2842),
% 59.37/9.99    inference(avatar_split_clause,[],[f45061,f82027])).
% 59.37/9.99  tff(f82027,plain,(
% 59.37/9.99    spl2737_2842 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))) = X1 | ~sP292(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2842])])).
% 59.37/9.99  tff(f45061,plain,(
% 59.37/9.99    ( ! [X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))) = X1 | ~sP292(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f31309])).
% 59.37/9.99  tff(f31309,plain,(
% 59.37/9.99    ! [X0 : vEBT_VEBT,X1 : nat] : (((vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1)))))) & (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1)))))) & aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))) = X1) | ~sP292(X0,X1))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1616])],[f31307,f31308])).
% 59.37/9.99  tff(f31308,plain,(
% 59.37/9.99    ! [X0 : vEBT_VEBT,X1 : nat] : (? [X2 : nat] : ((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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X1) => ((vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1)))))) & (vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1)))))) & aa(nat,nat,suc,aa(nat,nat,suc,sK1616(X0,X1))) = X1))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f31307,plain,(
% 59.37/9.99    ! [X0 : vEBT_VEBT,X1 : nat] : (? [X2 : nat] : ((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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X0 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X1) | ~sP292(X0,X1))),
% 59.37/9.99    inference(rectify,[],[f31306])).
% 59.37/9.99  tff(f31306,plain,(
% 59.37/9.99    ! [X1 : vEBT_VEBT,X0 : nat] : (? [X2 : nat] : ((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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | ~sP292(X1,X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f27530])).
% 59.37/9.99  tff(f27530,plain,(
% 59.37/9.99    ! [X1 : vEBT_VEBT,X0 : nat] : (? [X2 : nat] : ((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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | ~sP292(X1,X0))),
% 59.37/9.99    introduced(predicate_definition_introduction,[new_symbols(naming,[sP292])])).
% 59.37/9.99  tff(f82025,plain,(
% 59.37/9.99    spl2737_2841),
% 59.37/9.99    inference(avatar_split_clause,[],[f45054,f82023])).
% 59.37/9.99  tff(f82023,plain,(
% 59.37/9.99    spl2737_2841 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))) = X1 | ~sP290(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2841])])).
% 59.37/9.99  tff(f45054,plain,(
% 59.37/9.99    ( ! [X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,sK1615(X0,X1))) = X1 | ~sP290(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f31305])).
% 59.37/9.99  tff(f82021,plain,(
% 59.37/9.99    spl2737_2840),
% 59.37/9.99    inference(avatar_split_clause,[],[f44902,f82019])).
% 59.37/9.99  tff(f82019,plain,(
% 59.37/9.99    spl2737_2840 <=> ! [X0 : $tType,X1 : fun(X0,X0)] : (inj_on(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),X1),top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2840])])).
% 59.37/9.99  tff(f44902,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : fun(X0,X0)] : (inj_on(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),X1),top_top(set(X0))) | ~hilbert_bijection(X0,X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f24336])).
% 59.37/9.99  tff(f24336,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,X0)] : (inj_on(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),X1),top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/9.99    inference(ennf_transformation,[],[f15706])).
% 59.37/9.99  tff(f15706,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,X0)] : (hilbert_bijection(X0,X1) => inj_on(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),X1),top_top(set(X0))))),
% 59.37/9.99    inference(rectify,[],[f7474])).
% 59.37/9.99  tff(f7474,axiom,(
% 59.37/9.99    ! [X0 : $tType,X32 : fun(X0,X0)] : (hilbert_bijection(X0,X32) => inj_on(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),X32),top_top(set(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7473_bijection_Oinj__inv)).
% 59.37/9.99  tff(f82003,plain,(
% 59.37/9.99    spl2737_2839 | ~spl2737_2838),
% 59.37/9.99    inference(avatar_split_clause,[],[f81999,f81996,f82001])).
% 59.37/9.99  tff(f82001,plain,(
% 59.37/9.99    spl2737_2839 <=> ! [X0 : bool,X1 : bool] : (~pp(aa(bool,bool,combc(bool,bool,bool,fimplies,X1),X0)) | pp(X1) | ~pp(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2839])])).
% 59.37/9.99  tff(f81996,plain,(
% 59.37/9.99    spl2737_2838 <=> ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(X0) | ~pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2838])])).
% 59.37/9.99  tff(f81999,plain,(
% 59.37/9.99    ( ! [X0 : bool,X1 : bool] : (~pp(aa(bool,bool,combc(bool,bool,bool,fimplies,X1),X0)) | pp(X1) | ~pp(X0)) ) | ~spl2737_2838),
% 59.37/9.99    inference(forward_demodulation,[],[f81997,f50171])).
% 59.37/9.99  tff(f81997,plain,(
% 59.37/9.99    ( ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(X0) | ~pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1))) ) | ~spl2737_2838),
% 59.37/9.99    inference(avatar_component_clause,[],[f81996])).
% 59.37/9.99  tff(f81998,plain,(
% 59.37/9.99    spl2737_2838),
% 59.37/9.99    inference(avatar_split_clause,[],[f44176,f81996])).
% 59.37/9.99  tff(f44176,plain,(
% 59.37/9.99    ( ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(X0) | ~pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f15287])).
% 59.37/9.99  tff(f15287,plain,(
% 59.37/9.99    ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(X0) | ~pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f9893])).
% 59.37/9.99  tff(f9893,axiom,(
% 59.37/9.99    ! [X17 : bool,X31 : bool] : (pp(X31) | ~pp(X17) | ~pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X17),X31)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U)).
% 59.37/9.99  tff(f81994,plain,(
% 59.37/9.99    spl2737_2837),
% 59.37/9.99    inference(avatar_split_clause,[],[f43566,f81992])).
% 59.37/9.99  tff(f81992,plain,(
% 59.37/9.99    spl2737_2837 <=> ! [X0 : $tType,X1 : fun(X0,bool)] : aa(X0,bool,X1,fChoice(X0,X1)) = aa(fun(X0,bool),bool,fEx(X0),X1)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2837])])).
% 59.37/9.99  tff(f43566,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : fun(X0,bool)] : (aa(X0,bool,X1,fChoice(X0,X1)) = aa(fun(X0,bool),bool,fEx(X0),X1)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f14749])).
% 59.37/9.99  tff(f14749,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : aa(X0,bool,X1,fChoice(X0,X1)) = aa(fun(X0,bool),bool,fEx(X0),X1)),
% 59.37/9.99    inference(rectify,[],[f9892])).
% 59.37/9.99  tff(f9892,axiom,(
% 59.37/9.99    ! [X0 : $tType,X17 : fun(X0,bool)] : aa(X0,bool,X17,fChoice(X0,X17)) = aa(fun(X0,bool),bool,fEx(X0),X17)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fChoice_1_1_T)).
% 59.37/9.99  tff(f81990,plain,(
% 59.37/9.99    spl2737_2836),
% 59.37/9.99    inference(avatar_split_clause,[],[f43565,f81988])).
% 59.37/9.99  tff(f81988,plain,(
% 59.37/9.99    spl2737_2836 <=> ! [X0 : int,X1 : int] : set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),upto(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2836])])).
% 59.37/9.99  tff(f43565,plain,(
% 59.37/9.99    ( ! [X0 : int,X1 : int] : (set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),upto(X0,X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f14748])).
% 59.37/9.99  tff(f14748,plain,(
% 59.37/9.99    ! [X0 : int,X1 : int] : set_or1337092689740270186AtMost(int,X0,X1) = aa(list(int),set(int),set2(int),upto(X0,X1))),
% 59.37/9.99    inference(rectify,[],[f5522])).
% 59.37/9.99  tff(f5522,axiom,(
% 59.37/9.99    ! [X23 : int,X24 : int] : set_or1337092689740270186AtMost(int,X23,X24) = aa(list(int),set(int),set2(int),upto(X23,X24))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5521_atLeastAtMost__upto)).
% 59.37/9.99  tff(f81986,plain,(
% 59.37/9.99    spl2737_2835),
% 59.37/9.99    inference(avatar_split_clause,[],[f43564,f81984])).
% 59.37/9.99  tff(f81984,plain,(
% 59.37/9.99    spl2737_2835 <=> ! [X0 : nat,X1 : nat] : set_or7035219750837199246ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),upt(X0,X1))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2835])])).
% 59.37/9.99  tff(f43564,plain,(
% 59.37/9.99    ( ! [X0 : nat,X1 : nat] : (set_or7035219750837199246ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),upt(X0,X1))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f14747])).
% 59.37/9.99  tff(f14747,plain,(
% 59.37/9.99    ! [X0 : nat,X1 : nat] : set_or7035219750837199246ssThan(nat,X0,X1) = aa(list(nat),set(nat),set2(nat),upt(X0,X1))),
% 59.37/9.99    inference(rectify,[],[f5247])).
% 59.37/9.99  tff(f5247,axiom,(
% 59.37/9.99    ! [X23 : nat,X24 : nat] : set_or7035219750837199246ssThan(nat,X23,X24) = aa(list(nat),set(nat),set2(nat),upt(X23,X24))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5246_atLeastLessThan__upt)).
% 59.37/9.99  tff(f81982,plain,(
% 59.37/9.99    spl2737_2834),
% 59.37/9.99    inference(avatar_split_clause,[],[f43492,f81980])).
% 59.37/9.99  tff(f81980,plain,(
% 59.37/9.99    spl2737_2834 <=> ! [X0 : product_prod(nat,nat)] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1301(X0)),sK1302(X0)) = X0),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2834])])).
% 59.37/9.99  tff(f43492,plain,(
% 59.37/9.99    ( ! [X0 : product_prod(nat,nat)] : (aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1301(X0)),sK1302(X0)) = X0) )),
% 59.37/9.99    inference(cnf_transformation,[],[f30731])).
% 59.37/9.99  tff(f30731,plain,(
% 59.37/9.99    ! [X0 : product_prod(nat,nat)] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1301(X0)),sK1302(X0)) = X0),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1301,sK1302])],[f23735,f30730])).
% 59.37/9.99  tff(f30730,plain,(
% 59.37/9.99    ! [X0 : product_prod(nat,nat)] : (? [X1 : nat,X2 : nat] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X1),X2) = X0 => aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1301(X0)),sK1302(X0)) = X0)),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f23735,plain,(
% 59.37/9.99    ! [X0 : product_prod(nat,nat)] : ? [X1 : nat,X2 : nat] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X1),X2) = X0),
% 59.37/9.99    inference(ennf_transformation,[],[f14690])).
% 59.37/9.99  tff(f14690,plain,(
% 59.37/9.99    ! [X0 : product_prod(nat,nat)] : ~! [X1 : nat,X2 : nat] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X1),X2) != X0),
% 59.37/9.99    inference(rectify,[],[f3265])).
% 59.37/9.99  tff(f3265,axiom,(
% 59.37/9.99    ! [X14 : product_prod(nat,nat)] : ~! [X27 : nat,X16 : nat] : aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X27),X16) != X14),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3264_prod__decode__aux_Ocases)).
% 59.37/9.99  tff(f81963,plain,(
% 59.37/9.99    spl2737_2833 | ~spl2737_2832),
% 59.37/9.99    inference(avatar_split_clause,[],[f81959,f81956,f81961])).
% 59.37/9.99  tff(f81961,plain,(
% 59.37/9.99    spl2737_2833 <=> ! [X0 : num] : (~pp(aa(num,bool,combc(num,num,bool,ord_less_eq(num),one2),X0)) | one2 = X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2833])])).
% 59.37/9.99  tff(f81956,plain,(
% 59.37/9.99    spl2737_2832 <=> ! [X0 : num] : (one2 = X0 | ~pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X0),one2)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2832])])).
% 59.37/9.99  tff(f81959,plain,(
% 59.37/9.99    ( ! [X0 : num] : (~pp(aa(num,bool,combc(num,num,bool,ord_less_eq(num),one2),X0)) | one2 = X0) ) | ~spl2737_2832),
% 59.37/9.99    inference(forward_demodulation,[],[f81957,f50171])).
% 59.37/9.99  tff(f81957,plain,(
% 59.37/9.99    ( ! [X0 : num] : (one2 = X0 | ~pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X0),one2))) ) | ~spl2737_2832),
% 59.37/9.99    inference(avatar_component_clause,[],[f81956])).
% 59.37/9.99  tff(f81958,plain,(
% 59.37/9.99    spl2737_2832),
% 59.37/9.99    inference(avatar_split_clause,[],[f43395,f81956])).
% 59.37/9.99  tff(f43395,plain,(
% 59.37/9.99    ( ! [X0 : num] : (one2 = X0 | ~pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X0),one2))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f30664])).
% 59.37/9.99  tff(f30664,plain,(
% 59.37/9.99    ! [X0 : num] : ((pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X0),one2)) | one2 != X0) & (one2 = X0 | ~pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X0),one2))))),
% 59.37/9.99    inference(nnf_transformation,[],[f14644])).
% 59.37/9.99  tff(f14644,plain,(
% 59.37/9.99    ! [X0 : num] : (pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X0),one2)) <=> one2 = X0)),
% 59.37/9.99    inference(rectify,[],[f2369])).
% 59.37/9.99  tff(f2369,axiom,(
% 59.37/9.99    ! [X14 : num] : (pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X14),one2)) <=> one2 = X14)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2368_le__num__One__iff)).
% 59.37/9.99  tff(f81954,plain,(
% 59.37/9.99    spl2737_2831),
% 59.37/9.99    inference(avatar_split_clause,[],[f43235,f81952])).
% 59.37/9.99  tff(f81952,plain,(
% 59.37/9.99    spl2737_2831 <=> ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,bool),ord_less(X0),X1),at_top(X0)) | ~no_top(X0) | ~linorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2831])])).
% 59.37/9.99  tff(f43235,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (eventually(X0,aa(X0,fun(X0,bool),ord_less(X0),X1),at_top(X0)) | ~no_top(X0) | ~linorder(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23695])).
% 59.37/9.99  tff(f23695,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aa(X0,fun(X0,bool),ord_less(X0),X1),at_top(X0)) | ~no_top(X0) | ~linorder(X0))),
% 59.37/9.99    inference(flattening,[],[f23694])).
% 59.37/9.99  tff(f23694,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aa(X0,fun(X0,bool),ord_less(X0),X1),at_top(X0)) | (~no_top(X0) | ~linorder(X0)))),
% 59.37/9.99    inference(ennf_transformation,[],[f14577])).
% 59.37/9.99  tff(f14577,plain,(
% 59.37/9.99    ! [X0 : $tType] : ((no_top(X0) & linorder(X0)) => ! [X1 : X0] : eventually(X0,aa(X0,fun(X0,bool),ord_less(X0),X1),at_top(X0)))),
% 59.37/9.99    inference(rectify,[],[f5994])).
% 59.37/9.99  tff(f5994,axiom,(
% 59.37/9.99    ! [X0 : $tType] : ((no_top(X0) & linorder(X0)) => ! [X50 : X0] : eventually(X0,aa(X0,fun(X0,bool),ord_less(X0),X50),at_top(X0)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5993_eventually__gt__at__top)).
% 59.37/9.99  tff(f81950,plain,(
% 59.37/9.99    spl2737_2830),
% 59.37/9.99    inference(avatar_split_clause,[],[f43153,f81948])).
% 59.37/9.99  tff(f81948,plain,(
% 59.37/9.99    spl2737_2830 <=> ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = aa(int,X0,ring_1_of_int(X0),semiring_char_0_fact(int,X1)) | ~ring_1(X0) | ~semiring_char_0(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2830])])).
% 59.37/9.99  tff(f43153,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = aa(int,X0,ring_1_of_int(X0),semiring_char_0_fact(int,X1)) | ~ring_1(X0) | ~semiring_char_0(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23579])).
% 59.37/9.99  tff(f23579,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = aa(int,X0,ring_1_of_int(X0),semiring_char_0_fact(int,X1)) | ~ring_1(X0) | ~semiring_char_0(X0))),
% 59.37/9.99    inference(flattening,[],[f23578])).
% 59.37/9.99  tff(f23578,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = aa(int,X0,ring_1_of_int(X0),semiring_char_0_fact(int,X1)) | (~ring_1(X0) | ~semiring_char_0(X0)))),
% 59.37/9.99    inference(ennf_transformation,[],[f14524])).
% 59.37/9.99  tff(f14524,plain,(
% 59.37/9.99    ! [X0 : $tType] : ((ring_1(X0) & semiring_char_0(X0)) => ! [X1 : nat] : semiring_char_0_fact(X0,X1) = aa(int,X0,ring_1_of_int(X0),semiring_char_0_fact(int,X1)))),
% 59.37/9.99    inference(rectify,[],[f1638])).
% 59.37/9.99  tff(f1638,axiom,(
% 59.37/9.99    ! [X0 : $tType] : ((ring_1(X0) & semiring_char_0(X0)) => ! [X8 : nat] : semiring_char_0_fact(X0,X8) = aa(int,X0,ring_1_of_int(X0),semiring_char_0_fact(int,X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1637_of__int__fact)).
% 59.37/9.99  tff(f81946,plain,(
% 59.37/9.99    spl2737_2829),
% 59.37/9.99    inference(avatar_split_clause,[],[f42827,f81944])).
% 59.37/9.99  tff(f81944,plain,(
% 59.37/9.99    spl2737_2829 <=> ! [X0 : $tType,X1 : X0] : (exp(X0,X1) = suminf(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2829])])).
% 59.37/9.99  tff(f42827,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (exp(X0,X1) = suminf(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23063])).
% 59.37/9.99  tff(f23063,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : exp(X0,X1) = suminf(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/9.99    inference(flattening,[],[f23062])).
% 59.37/9.99  tff(f23062,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : exp(X0,X1) = suminf(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/9.99    inference(ennf_transformation,[],[f14272])).
% 59.37/9.99  tff(f14272,plain,(
% 59.37/9.99    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : exp(X0,X1) = suminf(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f4002])).
% 59.37/9.99  tff(f4002,axiom,(
% 59.37/9.99    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X63 : X0] : exp(X0,X63) = suminf(X0,aTP_Lamp_gt(X0,fun(nat,X0),X63)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4001_exp__def)).
% 59.37/9.99  tff(f81942,plain,(
% 59.37/9.99    spl2737_2828),
% 59.37/9.99    inference(avatar_split_clause,[],[f42826,f81940])).
% 59.37/9.99  tff(f81940,plain,(
% 59.37/9.99    spl2737_2828 <=> ! [X0 : $tType,X1 : X0] : (cosh(X0,X1) = cosh(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2828])])).
% 59.37/9.99  tff(f42826,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (cosh(X0,X1) = cosh(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f23061])).
% 59.37/9.99  tff(f23061,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : cosh(X0,X1) = cosh(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/9.99    inference(flattening,[],[f23060])).
% 59.37/9.99  tff(f23060,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : cosh(X0,X1) = cosh(X0,aa(X0,X0,uminus_uminus(X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/9.99    inference(ennf_transformation,[],[f14271])).
% 59.37/9.99  tff(f14271,plain,(
% 59.37/9.99    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : cosh(X0,X1) = cosh(X0,aa(X0,X0,uminus_uminus(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f1968])).
% 59.37/9.99  tff(f1968,axiom,(
% 59.37/9.99    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : cosh(X0,X14) = cosh(X0,aa(X0,X0,uminus_uminus(X0),X14)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1967_cosh__minus)).
% 59.37/9.99  tff(f81927,plain,(
% 59.37/9.99    spl2737_2827 | ~spl2737_2826),
% 59.37/9.99    inference(avatar_split_clause,[],[f81923,f81920,f81925])).
% 59.37/9.99  tff(f81925,plain,(
% 59.37/9.99    spl2737_2827 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,ord_max(X0),X1),X1) = X1 | ~linorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2827])])).
% 59.37/9.99  tff(f81920,plain,(
% 59.37/9.99    spl2737_2826 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),X1) = X1 | ~linorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2826])])).
% 59.37/9.99  tff(f81923,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,ord_max(X0),X1),X1) = X1 | ~linorder(X0)) ) | ~spl2737_2826),
% 59.37/9.99    inference(forward_demodulation,[],[f81921,f50171])).
% 59.37/9.99  tff(f81921,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),X1) = X1 | ~linorder(X0)) ) | ~spl2737_2826),
% 59.37/9.99    inference(avatar_component_clause,[],[f81920])).
% 59.37/9.99  tff(f81922,plain,(
% 59.37/9.99    spl2737_2826),
% 59.37/9.99    inference(avatar_split_clause,[],[f41904,f81920])).
% 59.37/9.99  tff(f41904,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),X1) = X1 | ~linorder(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22323])).
% 59.37/9.99  tff(f22323,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),X1) = X1 | ~linorder(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13741])).
% 59.37/9.99  tff(f13741,plain,(
% 59.37/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X1),X1) = X1)),
% 59.37/9.99    inference(rectify,[],[f4423])).
% 59.37/9.99  tff(f4423,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),ord_max(X0),X7),X7) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4422_max_Oidem)).
% 59.37/9.99  tff(f81907,plain,(
% 59.37/9.99    spl2737_2825 | ~spl2737_2824),
% 59.37/9.99    inference(avatar_split_clause,[],[f81903,f81900,f81905])).
% 59.37/9.99  tff(f81905,plain,(
% 59.37/9.99    spl2737_2825 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,ord_min(X0),X1),X1) = X1 | ~linorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2825])])).
% 59.37/9.99  tff(f81900,plain,(
% 59.37/9.99    spl2737_2824 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_min(X0),X1),X1) = X1 | ~linorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2824])])).
% 59.37/9.99  tff(f81903,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,ord_min(X0),X1),X1) = X1 | ~linorder(X0)) ) | ~spl2737_2824),
% 59.37/9.99    inference(forward_demodulation,[],[f81901,f50171])).
% 59.37/9.99  tff(f81901,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_min(X0),X1),X1) = X1 | ~linorder(X0)) ) | ~spl2737_2824),
% 59.37/9.99    inference(avatar_component_clause,[],[f81900])).
% 59.37/9.99  tff(f81902,plain,(
% 59.37/9.99    spl2737_2824),
% 59.37/9.99    inference(avatar_split_clause,[],[f41903,f81900])).
% 59.37/9.99  tff(f41903,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),ord_min(X0),X1),X1) = X1 | ~linorder(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22322])).
% 59.37/9.99  tff(f22322,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),ord_min(X0),X1),X1) = X1 | ~linorder(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13740])).
% 59.37/9.99  tff(f13740,plain,(
% 59.37/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),ord_min(X0),X1),X1) = X1)),
% 59.37/9.99    inference(rectify,[],[f5061])).
% 59.37/9.99  tff(f5061,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (linorder(X0) => ! [X7 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),ord_min(X0),X7),X7) = X7)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5060_min_Oidem)).
% 59.37/9.99  tff(f81898,plain,(
% 59.37/9.99    spl2737_2823),
% 59.37/9.99    inference(avatar_split_clause,[],[f41900,f81896])).
% 59.37/9.99  tff(f81896,plain,(
% 59.37/9.99    spl2737_2823 <=> ! [X0 : $tType] : (semilattice_order(X0,ord_max(X0),aTP_Lamp_adm(X0,fun(X0,bool)),aTP_Lamp_adn(X0,fun(X0,bool))) | ~linorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2823])])).
% 59.37/9.99  tff(f41900,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (semilattice_order(X0,ord_max(X0),aTP_Lamp_adm(X0,fun(X0,bool)),aTP_Lamp_adn(X0,fun(X0,bool))) | ~linorder(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22319])).
% 59.37/9.99  tff(f22319,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semilattice_order(X0,ord_max(X0),aTP_Lamp_adm(X0,fun(X0,bool)),aTP_Lamp_adn(X0,fun(X0,bool))) | ~linorder(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f7870])).
% 59.37/9.99  tff(f7870,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (linorder(X0) => semilattice_order(X0,ord_max(X0),aTP_Lamp_adm(X0,fun(X0,bool)),aTP_Lamp_adn(X0,fun(X0,bool))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7869_max_Osemilattice__order__axioms)).
% 59.37/9.99  tff(f81882,plain,(
% 59.37/9.99    spl2737_2822 | ~spl2737_2821),
% 59.37/9.99    inference(avatar_split_clause,[],[f81878,f81875,f81880])).
% 59.37/9.99  tff(f81880,plain,(
% 59.37/9.99    spl2737_2822 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),X1),X1) = X1 | ~semilattice_sup(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2822])])).
% 59.37/9.99  tff(f81875,plain,(
% 59.37/9.99    spl2737_2821 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),X1) = X1 | ~semilattice_sup(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2821])])).
% 59.37/9.99  tff(f81878,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,sup_sup(X0),X1),X1) = X1 | ~semilattice_sup(X0)) ) | ~spl2737_2821),
% 59.37/9.99    inference(forward_demodulation,[],[f81876,f50171])).
% 59.37/9.99  tff(f81876,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),X1) = X1 | ~semilattice_sup(X0)) ) | ~spl2737_2821),
% 59.37/9.99    inference(avatar_component_clause,[],[f81875])).
% 59.37/9.99  tff(f81877,plain,(
% 59.37/9.99    spl2737_2821),
% 59.37/9.99    inference(avatar_split_clause,[],[f41828,f81875])).
% 59.37/9.99  tff(f41828,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),X1) = X1 | ~semilattice_sup(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22258])).
% 59.37/9.99  tff(f22258,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),X1) = X1 | ~semilattice_sup(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13687])).
% 59.37/9.99  tff(f13687,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semilattice_sup(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X1),X1) = X1)),
% 59.37/9.99    inference(rectify,[],[f6226])).
% 59.37/9.99  tff(f6226,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semilattice_sup(X0) => ! [X14 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X14),X14) = X14)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6225_sup__idem)).
% 59.37/9.99  tff(f81873,plain,(
% 59.37/9.99    spl2737_2820),
% 59.37/9.99    inference(avatar_split_clause,[],[f41827,f81871])).
% 59.37/9.99  tff(f81871,plain,(
% 59.37/9.99    spl2737_2820 <=> ! [X0 : $tType] : (semilattice_order(X0,sup_sup(X0),aTP_Lamp_ado(X0,fun(X0,bool)),aTP_Lamp_adp(X0,fun(X0,bool))) | ~semilattice_sup(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2820])])).
% 59.37/9.99  tff(f41827,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (semilattice_order(X0,sup_sup(X0),aTP_Lamp_ado(X0,fun(X0,bool)),aTP_Lamp_adp(X0,fun(X0,bool))) | ~semilattice_sup(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22257])).
% 59.37/9.99  tff(f22257,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semilattice_order(X0,sup_sup(X0),aTP_Lamp_ado(X0,fun(X0,bool)),aTP_Lamp_adp(X0,fun(X0,bool))) | ~semilattice_sup(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f7898])).
% 59.37/9.99  tff(f7898,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semilattice_sup(X0) => semilattice_order(X0,sup_sup(X0),aTP_Lamp_ado(X0,fun(X0,bool)),aTP_Lamp_adp(X0,fun(X0,bool))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7897_sup_Osemilattice__order__axioms)).
% 59.37/9.99  tff(f81857,plain,(
% 59.37/9.99    spl2737_2819 | ~spl2737_2818),
% 59.37/9.99    inference(avatar_split_clause,[],[f81853,f81850,f81855])).
% 59.37/9.99  tff(f81855,plain,(
% 59.37/9.99    spl2737_2819 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),X1),X1) = X1 | ~semilattice_inf(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2819])])).
% 59.37/9.99  tff(f81850,plain,(
% 59.37/9.99    spl2737_2818 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X1) = X1 | ~semilattice_inf(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2818])])).
% 59.37/9.99  tff(f81853,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,combc(X0,X0,X0,inf_inf(X0),X1),X1) = X1 | ~semilattice_inf(X0)) ) | ~spl2737_2818),
% 59.37/9.99    inference(forward_demodulation,[],[f81851,f50171])).
% 59.37/9.99  tff(f81851,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X1) = X1 | ~semilattice_inf(X0)) ) | ~spl2737_2818),
% 59.37/9.99    inference(avatar_component_clause,[],[f81850])).
% 59.37/9.99  tff(f81852,plain,(
% 59.37/9.99    spl2737_2818),
% 59.37/9.99    inference(avatar_split_clause,[],[f41763,f81850])).
% 59.37/9.99  tff(f41763,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X1) = X1 | ~semilattice_inf(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f22203])).
% 59.37/9.99  tff(f22203,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X1) = X1 | ~semilattice_inf(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13639])).
% 59.37/9.99  tff(f13639,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semilattice_inf(X0) => ! [X1 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X1) = X1)),
% 59.37/9.99    inference(rectify,[],[f4828])).
% 59.37/9.99  tff(f4828,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semilattice_inf(X0) => ! [X14 : X0] : aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X14),X14) = X14)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4827_inf__idem)).
% 59.37/9.99  tff(f81837,plain,(
% 59.37/9.99    spl2737_2817 | ~spl2737_2816),
% 59.37/9.99    inference(avatar_split_clause,[],[f81833,f81830,f81835])).
% 59.37/9.99  tff(f81835,plain,(
% 59.37/9.99    spl2737_2817 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X1),one_one(X0))) | ~comm_monoid_mult(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2817])])).
% 59.37/9.99  tff(f81830,plain,(
% 59.37/9.99    spl2737_2816 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),one_one(X0)),X1)) | ~comm_monoid_mult(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2816])])).
% 59.37/9.99  tff(f81833,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X1),one_one(X0))) | ~comm_monoid_mult(X0)) ) | ~spl2737_2816),
% 59.37/9.99    inference(forward_demodulation,[],[f81831,f50171])).
% 59.37/9.99  tff(f81831,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),one_one(X0)),X1)) | ~comm_monoid_mult(X0)) ) | ~spl2737_2816),
% 59.37/9.99    inference(avatar_component_clause,[],[f81830])).
% 59.37/9.99  tff(f81832,plain,(
% 59.37/9.99    spl2737_2816),
% 59.37/9.99    inference(avatar_split_clause,[],[f41549,f81830])).
% 59.37/9.99  tff(f41549,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),one_one(X0)),X1)) | ~comm_monoid_mult(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21994])).
% 59.37/9.99  tff(f21994,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),one_one(X0)),X1)) | ~comm_monoid_mult(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13446])).
% 59.37/9.99  tff(f13446,plain,(
% 59.37/9.99    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),one_one(X0)),X1)))),
% 59.37/9.99    inference(rectify,[],[f2819])).
% 59.37/9.99  tff(f2819,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X7 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),one_one(X0)),X7)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2818_one__dvd)).
% 59.37/9.99  tff(f81773,plain,(
% 59.37/9.99    spl2737_2815 | ~spl2737_2814),
% 59.37/9.99    inference(avatar_split_clause,[],[f81769,f81766,f81771])).
% 59.37/9.99  tff(f81771,plain,(
% 59.37/9.99    spl2737_2815 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),zero_zero(X0)),X1)) | ~comm_semiring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2815])])).
% 59.37/9.99  tff(f81766,plain,(
% 59.37/9.99    spl2737_2814 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))) | ~comm_semiring_1(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2814])])).
% 59.37/9.99  tff(f81769,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),zero_zero(X0)),X1)) | ~comm_semiring_1(X0)) ) | ~spl2737_2814),
% 59.37/9.99    inference(forward_demodulation,[],[f81767,f50171])).
% 59.37/9.99  tff(f81767,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))) | ~comm_semiring_1(X0)) ) | ~spl2737_2814),
% 59.37/9.99    inference(avatar_component_clause,[],[f81766])).
% 59.37/9.99  tff(f81768,plain,(
% 59.37/9.99    spl2737_2814),
% 59.37/9.99    inference(avatar_split_clause,[],[f41415,f81766])).
% 59.37/9.99  tff(f41415,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))) | ~comm_semiring_1(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21884])).
% 59.37/9.99  tff(f21884,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))) | ~comm_semiring_1(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13358])).
% 59.37/9.99  tff(f13358,plain,(
% 59.37/9.99    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),zero_zero(X0))))),
% 59.37/9.99    inference(rectify,[],[f2686])).
% 59.37/9.99  tff(f2686,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X7 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X7),zero_zero(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2685_dvd__0__right)).
% 59.37/9.99  tff(f81715,plain,(
% 59.37/9.99    spl2737_2813 | ~spl2737_2812),
% 59.37/9.99    inference(avatar_split_clause,[],[f81711,f81708,f81713])).
% 59.37/9.99  tff(f81713,plain,(
% 59.37/9.99    spl2737_2813 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),bot_bot(X0)),X1)) | ~order_bot(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2813])])).
% 59.37/9.99  tff(f81708,plain,(
% 59.37/9.99    spl2737_2812 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),bot_bot(X0))) | ~order_bot(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2812])])).
% 59.37/9.99  tff(f81711,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),bot_bot(X0)),X1)) | ~order_bot(X0)) ) | ~spl2737_2812),
% 59.37/9.99    inference(forward_demodulation,[],[f81709,f50171])).
% 59.37/9.99  tff(f81709,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),bot_bot(X0))) | ~order_bot(X0)) ) | ~spl2737_2812),
% 59.37/9.99    inference(avatar_component_clause,[],[f81708])).
% 59.37/9.99  tff(f81710,plain,(
% 59.37/9.99    spl2737_2812),
% 59.37/9.99    inference(avatar_split_clause,[],[f41183,f81708])).
% 59.37/9.99  tff(f41183,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),bot_bot(X0))) | ~order_bot(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21692])).
% 59.37/9.99  tff(f21692,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),bot_bot(X0))) | ~order_bot(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f13216])).
% 59.37/9.99  tff(f13216,plain,(
% 59.37/9.99    ! [X0 : $tType] : (order_bot(X0) => ! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),bot_bot(X0))))),
% 59.37/9.99    inference(rectify,[],[f3267])).
% 59.37/9.99  tff(f3267,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (order_bot(X0) => ! [X7 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),bot_bot(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3266_bot_Oextremum__strict)).
% 59.37/9.99  tff(f81699,plain,(
% 59.37/9.99    spl2737_2811 | ~spl2737_2810),
% 59.37/9.99    inference(avatar_split_clause,[],[f81695,f81692,f81697])).
% 59.37/9.99  tff(f81697,plain,(
% 59.37/9.99    spl2737_2811 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),top_top(X0))) | ~order_top(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2811])])).
% 59.37/9.99  tff(f81692,plain,(
% 59.37/9.99    spl2737_2810 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),top_top(X0)),X1)) | ~order_top(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2810])])).
% 59.37/9.99  tff(f81695,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),top_top(X0))) | ~order_top(X0)) ) | ~spl2737_2810),
% 59.37/9.99    inference(forward_demodulation,[],[f81693,f50171])).
% 59.37/9.99  tff(f81693,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),top_top(X0)),X1)) | ~order_top(X0)) ) | ~spl2737_2810),
% 59.37/9.99    inference(avatar_component_clause,[],[f81692])).
% 59.37/9.99  tff(f81694,plain,(
% 59.37/9.99    spl2737_2810),
% 59.37/9.99    inference(avatar_split_clause,[],[f40869,f81692])).
% 59.37/9.99  tff(f40869,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),top_top(X0)),X1)) | ~order_top(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21378])).
% 59.37/9.99  tff(f21378,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),top_top(X0)),X1)) | ~order_top(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12988])).
% 59.37/9.99  tff(f12988,plain,(
% 59.37/9.99    ! [X0 : $tType] : (order_top(X0) => ! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),top_top(X0)),X1)))),
% 59.37/9.99    inference(rectify,[],[f5607])).
% 59.37/9.99  tff(f5607,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (order_top(X0) => ! [X7 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),top_top(X0)),X7)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5606_top_Oextremum__strict)).
% 59.37/9.99  tff(f81690,plain,(
% 59.37/9.99    spl2737_2809),
% 59.37/9.99    inference(avatar_split_clause,[],[f40425,f81688])).
% 59.37/9.99  tff(f81688,plain,(
% 59.37/9.99    spl2737_2809 <=> ! [X0 : $tType,X1 : num] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_char_0(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2809])])).
% 59.37/9.99  tff(f40425,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_char_0(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21017])).
% 59.37/9.99  tff(f21017,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1) | ~ring_char_0(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12685])).
% 59.37/9.99  tff(f12685,plain,(
% 59.37/9.99    ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X1))),
% 59.37/9.99    inference(rectify,[],[f2199])).
% 59.37/9.99  tff(f2199,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (ring_char_0(X0) => ! [X8 : num] : aa(X0,X0,uminus_uminus(X0),one_one(X0)) != aa(num,X0,numeral_numeral(X0),X8))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2198_numeral__neq__neg__one)).
% 59.37/9.99  tff(f81686,plain,(
% 59.37/9.99    spl2737_2808),
% 59.37/9.99    inference(avatar_split_clause,[],[f40424,f81684])).
% 59.37/9.99  tff(f81684,plain,(
% 59.37/9.99    spl2737_2808 <=> ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2808])])).
% 59.37/9.99  tff(f40424,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21016])).
% 59.37/9.99  tff(f21016,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12684])).
% 59.37/9.99  tff(f12684,plain,(
% 59.37/9.99    ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f2194])).
% 59.37/9.99  tff(f2194,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (ring_char_0(X0) => ! [X8 : num] : zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2193_zero__neq__neg__numeral)).
% 59.37/9.99  tff(f81682,plain,(
% 59.37/9.99    spl2737_2807),
% 59.37/9.99    inference(avatar_split_clause,[],[f40423,f81680])).
% 59.37/9.99  tff(f81680,plain,(
% 59.37/9.99    spl2737_2807 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2807])])).
% 59.37/9.99  tff(f40423,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : num] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f21015])).
% 59.37/9.99  tff(f21015,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : num] : one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12683])).
% 59.37/9.99  tff(f12683,plain,(
% 59.37/9.99    ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)))),
% 59.37/9.99    inference(rectify,[],[f2200])).
% 59.37/9.99  tff(f2200,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (ring_char_0(X0) => ! [X8 : num] : one_one(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2199_one__neq__neg__numeral)).
% 59.37/9.99  tff(f81678,plain,(
% 59.37/9.99    spl2737_2806),
% 59.37/9.99    inference(avatar_split_clause,[],[f39598,f81676])).
% 59.37/9.99  tff(f81676,plain,(
% 59.37/9.99    spl2737_2806 <=> ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | ~bit_un5681908812861735899ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2806])])).
% 59.37/9.99  tff(f39598,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f29115])).
% 59.37/9.99  tff(f29115,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : ((zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | zero_zero(X0) != X2) & (zero_zero(X0) = X2 | zero_zero(X0) != aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2))) | ~bit_un5681908812861735899ations(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f20513])).
% 59.37/9.99  tff(f20513,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) <=> zero_zero(X0) = X2) | ~bit_un5681908812861735899ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f12268])).
% 59.37/9.99  tff(f12268,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : nat,X2 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) <=> zero_zero(X0) = X2))),
% 59.37/9.99    inference(rectify,[],[f3507])).
% 59.37/9.99  tff(f3507,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : nat,X7 : X0] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X8),X7) <=> zero_zero(X0) = X7))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3506_push__bit__eq__0__iff)).
% 59.37/9.99  tff(f81674,plain,(
% 59.37/9.99    spl2737_2805),
% 59.37/9.99    inference(avatar_split_clause,[],[f38870,f81672])).
% 59.37/9.99  tff(f81672,plain,(
% 59.37/9.99    spl2737_2805 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X2,X1) | zero_zero(X0) = X1 | ~division_ring(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2805])])).
% 59.37/9.99  tff(f38870,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X2,X1) | zero_zero(X0) = X1 | ~division_ring(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28887])).
% 59.37/9.99  tff(f28887,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((one_one(X0) = divide_divide(X0,X2,X1) | X1 != X2) & (X1 = X2 | one_one(X0) != divide_divide(X0,X2,X1))) | zero_zero(X0) = X1) | ~division_ring(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f20095])).
% 59.37/9.99  tff(f20095,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X2,X1) <=> X1 = X2) | zero_zero(X0) = X1) | ~division_ring(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11901])).
% 59.37/9.99  tff(f11901,plain,(
% 59.37/9.99    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) != X1 => (one_one(X0) = divide_divide(X0,X2,X1) <=> X1 = X2)))),
% 59.37/9.99    inference(rectify,[],[f1127])).
% 59.37/9.99  tff(f1127,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (division_ring(X0) => ! [X49 : X0,X7 : X0] : (zero_zero(X0) != X49 => (one_one(X0) = divide_divide(X0,X7,X49) <=> X7 = X49)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1126_right__inverse__eq)).
% 59.37/9.99  tff(f81670,plain,(
% 59.37/9.99    spl2737_2804),
% 59.37/9.99    inference(avatar_split_clause,[],[f38662,f81668])).
% 59.37/9.99  tff(f81668,plain,(
% 59.37/9.99    spl2737_2804 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)) | ~field(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2804])])).
% 59.37/9.99  tff(f38662,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)) | ~field(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19908])).
% 59.37/9.99  tff(f19908,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)) | ~field(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11740])).
% 59.37/9.99  tff(f11740,plain,(
% 59.37/9.99    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : divide_divide(X0,X2,X1) = aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X1,X2)))),
% 59.37/9.99    inference(rectify,[],[f952])).
% 59.37/9.99  tff(f952,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (field(X0) => ! [X7 : X0,X49 : X0] : aa(X0,X0,inverse_inverse(X0),divide_divide(X0,X7,X49)) = divide_divide(X0,X49,X7))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_951_inverse__divide)).
% 59.37/9.99  tff(f81666,plain,(
% 59.37/9.99    spl2737_2803),
% 59.37/9.99    inference(avatar_split_clause,[],[f38597,f81664])).
% 59.37/9.99  tff(f81664,plain,(
% 59.37/9.99    spl2737_2803 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,X2)) | ~pp(aa(X0,bool,X1,sK756(X0,X1))) | ~wellorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2803])])).
% 59.37/9.99  tff(f38597,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,X2)) | ~pp(aa(X0,bool,X1,sK756(X0,X1))) | ~wellorder(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28846])).
% 59.37/9.99  tff(f28846,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (pp(aa(X0,bool,X1,X2)) | (~pp(aa(X0,bool,X1,sK756(X0,X1))) & ! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),sK756(X0,X1)))))) | ~wellorder(X0))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK756])],[f19848,f28845])).
% 59.37/9.99  tff(f28845,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & ! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)))) => (~pp(aa(X0,bool,X1,sK756(X0,X1))) & ! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),sK756(X0,X1))))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f19848,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (pp(aa(X0,bool,X1,X2)) | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & ! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3))))) | ~wellorder(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11693])).
% 59.37/9.99  tff(f11693,plain,(
% 59.37/9.99    ! [X0 : $tType] : (wellorder(X0) => ! [X1 : fun(X0,bool),X2 : X0] : (! [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) => pp(aa(X0,bool,X1,X4))) => pp(aa(X0,bool,X1,X3))) => pp(aa(X0,bool,X1,X2))))),
% 59.37/9.99    inference(rectify,[],[f847])).
% 59.37/9.99  tff(f847,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (wellorder(X0) => ! [X17 : fun(X0,bool),X7 : X0] : (! [X20 : X0] : (! [X37 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X37),X20)) => pp(aa(X0,bool,X17,X37))) => pp(aa(X0,bool,X17,X20))) => pp(aa(X0,bool,X17,X7))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_846_less__induct)).
% 59.37/9.99  tff(f81662,plain,(
% 59.37/9.99    spl2737_2802),
% 59.37/9.99    inference(avatar_split_clause,[],[f38578,f81660])).
% 59.37/9.99  tff(f81660,plain,(
% 59.37/9.99    spl2737_2802 <=> ! [X0 : $tType,X1 : fun(X0,bool),X7 : X0] : (pp(aa(X0,bool,X1,sK752(X0,X1))) | ~pp(aa(X0,bool,X1,X7)) | ~wellorder(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2802])])).
% 59.37/9.99  tff(f38578,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : fun(X0,bool),X7 : X0] : (pp(aa(X0,bool,X1,sK752(X0,X1))) | ~pp(aa(X0,bool,X1,X7)) | ~wellorder(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28838])).
% 59.37/9.99  tff(f28838,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((pp(aa(X0,bool,X1,sK750(X0,X1))) | ! [X3 : X0] : ((pp(aa(X0,bool,X1,sK751(X0,X1,X3))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK751(X0,X1,X3)),X3))) | ~pp(aa(X0,bool,X1,X3)))) & ((! [X6 : X0] : (~pp(aa(X0,bool,X1,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X6),sK752(X0,X1)))) & pp(aa(X0,bool,X1,sK752(X0,X1)))) | ! [X7 : X0] : ~pp(aa(X0,bool,X1,X7)))) | ~wellorder(X0))),
% 59.37/9.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK750,sK751,sK752])],[f28834,f28837,f28836,f28835])).
% 59.37/9.99  tff(f28835,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X2 : X0] : pp(aa(X0,bool,X1,X2)) => pp(aa(X0,bool,X1,sK750(X0,X1))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f28836,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool),X3 : X0] : (? [X4 : X0] : (pp(aa(X0,bool,X1,X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3))) => (pp(aa(X0,bool,X1,sK751(X0,X1,X3))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK751(X0,X1,X3)),X3))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f28837,plain,(
% 59.37/9.99    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X5 : X0] : (! [X6 : X0] : (~pp(aa(X0,bool,X1,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X6),X5))) & pp(aa(X0,bool,X1,X5))) => (! [X6 : X0] : (~pp(aa(X0,bool,X1,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X6),sK752(X0,X1)))) & pp(aa(X0,bool,X1,sK752(X0,X1)))))),
% 59.37/9.99    introduced(choice_axiom,[])).
% 59.37/9.99  tff(f28834,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((? [X2 : X0] : pp(aa(X0,bool,X1,X2)) | ! [X3 : X0] : (? [X4 : X0] : (pp(aa(X0,bool,X1,X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3))) | ~pp(aa(X0,bool,X1,X3)))) & (? [X5 : X0] : (! [X6 : X0] : (~pp(aa(X0,bool,X1,X6)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X6),X5))) & pp(aa(X0,bool,X1,X5))) | ! [X7 : X0] : ~pp(aa(X0,bool,X1,X7)))) | ~wellorder(X0))),
% 59.37/9.99    inference(rectify,[],[f28833])).
% 59.37/9.99  tff(f28833,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : ((? [X2 : X0] : pp(aa(X0,bool,X1,X2)) | ! [X3 : X0] : (? [X4 : X0] : (pp(aa(X0,bool,X1,X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3))) | ~pp(aa(X0,bool,X1,X3)))) & (? [X3 : X0] : (! [X4 : X0] : (~pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3))) & pp(aa(X0,bool,X1,X3))) | ! [X2 : X0] : ~pp(aa(X0,bool,X1,X2)))) | ~wellorder(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f19830])).
% 59.37/9.99  tff(f19830,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : fun(X0,bool)] : (? [X2 : X0] : pp(aa(X0,bool,X1,X2)) <=> ? [X3 : X0] : (! [X4 : X0] : (~pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3))) & pp(aa(X0,bool,X1,X3)))) | ~wellorder(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f11681])).
% 59.37/9.99  tff(f11681,plain,(
% 59.37/9.99    ! [X0 : $tType] : (wellorder(X0) => ! [X1 : fun(X0,bool)] : (? [X2 : X0] : pp(aa(X0,bool,X1,X2)) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) => ~pp(aa(X0,bool,X1,X4))) & pp(aa(X0,bool,X1,X3)))))),
% 59.37/9.99    inference(rectify,[],[f852])).
% 59.37/9.99  tff(f852,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (wellorder(X0) => ! [X17 : fun(X0,bool)] : (? [X114 : X0] : pp(aa(X0,bool,X17,X114)) <=> ? [X62 : X0] : (! [X36 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X36),X62)) => ~pp(aa(X0,bool,X17,X36))) & pp(aa(X0,bool,X17,X62)))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_851_exists__least__iff)).
% 59.37/9.99  tff(f81658,plain,(
% 59.37/9.99    spl2737_2801),
% 59.37/9.99    inference(avatar_split_clause,[],[f37236,f81656])).
% 59.37/9.99  tff(f81656,plain,(
% 59.37/9.99    spl2737_2801 <=> ! [X0 : $tType] : (semiring_gcd_Lcm_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0)) | ~semiring_gcd(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2801])])).
% 59.37/9.99  tff(f37236,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (semiring_gcd_Lcm_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0)) | ~semiring_gcd(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19001])).
% 59.37/9.99  tff(f19001,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_gcd_Lcm_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0)) | ~semiring_gcd(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f7692])).
% 59.37/9.99  tff(f7692,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_gcd(X0) => semiring_gcd_Lcm_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7691_Lcm__fin__def)).
% 59.37/9.99  tff(f81654,plain,(
% 59.37/9.99    spl2737_2800),
% 59.37/9.99    inference(avatar_split_clause,[],[f37235,f81652])).
% 59.37/9.99  tff(f81652,plain,(
% 59.37/9.99    spl2737_2800 <=> ! [X0 : $tType] : (semiring_gcd_Gcd_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0)) | ~semiring_gcd(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2800])])).
% 59.37/9.99  tff(f37235,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (semiring_gcd_Gcd_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0)) | ~semiring_gcd(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f19000])).
% 59.37/9.99  tff(f19000,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_gcd_Gcd_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0)) | ~semiring_gcd(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f7137])).
% 59.37/9.99  tff(f7137,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_gcd(X0) => semiring_gcd_Gcd_fin(X0) = bounde2362111253966948842tice_F(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7136_Gcd__fin__def)).
% 59.37/9.99  tff(f81650,plain,(
% 59.37/9.99    spl2737_2799),
% 59.37/9.99    inference(avatar_split_clause,[],[f36967,f81648])).
% 59.37/9.99  tff(f81648,plain,(
% 59.37/9.99    spl2737_2799 <=> ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = bit_se2584673776208193580ke_bit(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2799])])).
% 59.37/9.99  tff(f36967,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = bit_se2584673776208193580ke_bit(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18829])).
% 59.37/9.99  tff(f18829,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = bit_se2584673776208193580ke_bit(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10855])).
% 59.37/9.99  tff(f10855,plain,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = bit_se2584673776208193580ke_bit(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/9.99    inference(rectify,[],[f3259])).
% 59.37/9.99  tff(f3259,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat] : bit_se2239418461657761734s_mask(X0,X8) = bit_se2584673776208193580ke_bit(X0,X8,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3258_take__bit__minus__one__eq__mask)).
% 59.37/9.99  tff(f81646,plain,(
% 59.37/9.99    spl2737_2798),
% 59.37/9.99    inference(avatar_split_clause,[],[f36928,f81644])).
% 59.37/9.99  tff(f81644,plain,(
% 59.37/9.99    spl2737_2798 <=> ! [X0 : $tType] : (filterlim(X0,X0,inverse_inverse(X0),at_infinity(X0),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) | ~real_V8999393235501362500lgebra(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2798])])).
% 59.37/9.99  tff(f36928,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (filterlim(X0,X0,inverse_inverse(X0),at_infinity(X0),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) | ~real_V8999393235501362500lgebra(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18790])).
% 59.37/9.99  tff(f18790,plain,(
% 59.37/9.99    ! [X0 : $tType] : (filterlim(X0,X0,inverse_inverse(X0),at_infinity(X0),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) | ~real_V8999393235501362500lgebra(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f6056])).
% 59.37/9.99  tff(f6056,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => filterlim(X0,X0,inverse_inverse(X0),at_infinity(X0),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6055_filterlim__inverse__at__infinity)).
% 59.37/9.99  tff(f81642,plain,(
% 59.37/9.99    spl2737_2797),
% 59.37/9.99    inference(avatar_split_clause,[],[f36841,f81640])).
% 59.37/9.99  tff(f81640,plain,(
% 59.37/9.99    spl2737_2797 <=> ! [X0 : $tType,X1 : set(X0)] : (one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X1)) | zero_zero(X0) = gcd_Lcm(X0,X1) | ~semiring_Gcd(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2797])])).
% 59.37/9.99  tff(f36841,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : set(X0)] : (one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X1)) | zero_zero(X0) = gcd_Lcm(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18731])).
% 59.37/9.99  tff(f18731,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : ((one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X1)) | zero_zero(X0) = gcd_Lcm(X0,X1)) & (zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X1)) | zero_zero(X0) != gcd_Lcm(X0,X1))) | ~semiring_Gcd(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10782])).
% 59.37/9.99  tff(f10782,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : ((zero_zero(X0) != gcd_Lcm(X0,X1) => one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X1))) & (zero_zero(X0) = gcd_Lcm(X0,X1) => zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X1)))))),
% 59.37/9.99    inference(rectify,[],[f7745])).
% 59.37/9.99  tff(f7745,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : ((zero_zero(X0) != gcd_Lcm(X0,X30) => one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X30))) & (zero_zero(X0) = gcd_Lcm(X0,X30) => zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X30)))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7744_unit__factor__Lcm)).
% 59.37/9.99  tff(f81638,plain,(
% 59.37/9.99    spl2737_2796),
% 59.37/9.99    inference(avatar_split_clause,[],[f36839,f81636])).
% 59.37/9.99  tff(f81636,plain,(
% 59.37/9.99    spl2737_2796 <=> ! [X0 : $tType,X1 : set(X0)] : (one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X1)) | zero_zero(X0) = gcd_Gcd(X0,X1) | ~semiring_Gcd(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2796])])).
% 59.37/9.99  tff(f36839,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : set(X0)] : (one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X1)) | zero_zero(X0) = gcd_Gcd(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18730])).
% 59.37/9.99  tff(f18730,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : set(X0)] : ((one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X1)) | zero_zero(X0) = gcd_Gcd(X0,X1)) & (zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X1)) | zero_zero(X0) != gcd_Gcd(X0,X1))) | ~semiring_Gcd(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10781])).
% 59.37/9.99  tff(f10781,plain,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : ((zero_zero(X0) != gcd_Gcd(X0,X1) => one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X1))) & (zero_zero(X0) = gcd_Gcd(X0,X1) => zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X1)))))),
% 59.37/9.99    inference(rectify,[],[f7746])).
% 59.37/9.99  tff(f7746,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : ((zero_zero(X0) != gcd_Gcd(X0,X30) => one_one(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X30))) & (zero_zero(X0) = gcd_Gcd(X0,X30) => zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X30)))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7745_unit__factor__Gcd)).
% 59.37/9.99  tff(f81634,plain,(
% 59.37/9.99    spl2737_2795),
% 59.37/9.99    inference(avatar_split_clause,[],[f36798,f81632])).
% 59.37/9.99  tff(f81632,plain,(
% 59.37/9.99    spl2737_2795 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2795])])).
% 59.37/9.99  tff(f36798,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f28143])).
% 59.37/9.99  tff(f28143,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X1)) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X1)))) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    inference(nnf_transformation,[],[f18693])).
% 59.37/9.99  tff(f18693,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X1)) <=> zero_zero(X0) = X1) | ~normal8620421768224518004emidom(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10752])).
% 59.37/9.99  tff(f10752,plain,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X1)) <=> zero_zero(X0) = X1))),
% 59.37/9.99    inference(rectify,[],[f7723])).
% 59.37/9.99  tff(f7723,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X7)) <=> zero_zero(X0) = X7))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7722_inv__unit__factor__eq__0__iff)).
% 59.37/9.99  tff(f81619,plain,(
% 59.37/9.99    spl2737_2794 | ~spl2737_2793),
% 59.37/9.99    inference(avatar_split_clause,[],[f81615,f81612,f81617])).
% 59.37/9.99  tff(f81617,plain,(
% 59.37/9.99    spl2737_2794 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2794])])).
% 59.37/9.99  tff(f81612,plain,(
% 59.37/9.99    spl2737_2793 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2793])])).
% 59.37/9.99  tff(f81615,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0)) ) | ~spl2737_2793),
% 59.37/9.99    inference(forward_demodulation,[],[f81613,f50171])).
% 59.37/9.99  tff(f81613,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0)) ) | ~spl2737_2793),
% 59.37/9.99    inference(avatar_component_clause,[],[f81612])).
% 59.37/9.99  tff(f81614,plain,(
% 59.37/9.99    spl2737_2793),
% 59.37/9.99    inference(avatar_split_clause,[],[f36646,f81612])).
% 59.37/9.99  tff(f36646,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18587])).
% 59.37/9.99  tff(f18587,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10659])).
% 59.37/9.99  tff(f10659,plain,(
% 59.37/9.99    ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))),
% 59.37/9.99    inference(rectify,[],[f568])).
% 59.37/9.99  tff(f568,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X14 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X14)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_567_zero__le)).
% 59.37/9.99  tff(f81561,plain,(
% 59.37/9.99    spl2737_2792 | ~spl2737_2791),
% 59.37/9.99    inference(avatar_split_clause,[],[f81557,f81554,f81559])).
% 59.37/9.99  tff(f81559,plain,(
% 59.37/9.99    spl2737_2792 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2792])])).
% 59.37/9.99  tff(f81554,plain,(
% 59.37/9.99    spl2737_2791 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2791])])).
% 59.37/9.99  tff(f81557,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),zero_zero(X0)),X1)) | ~canoni5634975068530333245id_add(X0)) ) | ~spl2737_2791),
% 59.37/9.99    inference(forward_demodulation,[],[f81555,f50171])).
% 59.37/9.99  tff(f81555,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0)) ) | ~spl2737_2791),
% 59.37/9.99    inference(avatar_component_clause,[],[f81554])).
% 59.37/9.99  tff(f81556,plain,(
% 59.37/9.99    spl2737_2791),
% 59.37/9.99    inference(avatar_split_clause,[],[f36645,f81554])).
% 59.37/9.99  tff(f36645,plain,(
% 59.37/9.99    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f18586])).
% 59.37/9.99  tff(f18586,plain,(
% 59.37/9.99    ! [X0 : $tType] : (! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | ~canoni5634975068530333245id_add(X0))),
% 59.37/9.99    inference(ennf_transformation,[],[f10658])).
% 59.37/9.99  tff(f10658,plain,(
% 59.37/9.99    ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))))),
% 59.37/9.99    inference(rectify,[],[f75])).
% 59.37/9.99  tff(f75,axiom,(
% 59.37/9.99    ! [X0 : $tType] : (canoni5634975068530333245id_add(X0) => ! [X8 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),zero_zero(X0))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_not__less__zero)).
% 59.37/9.99  tff(f81552,plain,(
% 59.37/9.99    spl2737_2790),
% 59.37/9.99    inference(avatar_split_clause,[],[f35995,f81550])).
% 59.37/9.99  tff(f81550,plain,(
% 59.37/9.99    spl2737_2790 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_wf(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(nat))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2790])])).
% 59.37/9.99  tff(f35995,plain,(
% 59.37/9.99    ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_wf(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(nat))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10155])).
% 59.37/9.99  tff(f10155,plain,(
% 59.37/9.99    ! [X0 : real] : filterlim(nat,real,aTP_Lamp_wf(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(nat))),
% 59.37/9.99    inference(rectify,[],[f5968])).
% 59.37/9.99  tff(f5968,axiom,(
% 59.37/9.99    ! [X14 : real] : filterlim(nat,real,aTP_Lamp_wf(real,fun(nat,real),X14),topolo7230453075368039082e_nhds(real,exp(real,X14)),at_top(nat))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5967_tendsto__exp__limit__sequentially)).
% 59.37/9.99  tff(f81548,plain,(
% 59.37/9.99    spl2737_2789),
% 59.37/9.99    inference(avatar_split_clause,[],[f35994,f81546])).
% 59.37/9.99  tff(f81546,plain,(
% 59.37/9.99    spl2737_2789 <=> ! [X0 : real] : filterlim(real,real,aTP_Lamp_yc(real,fun(real,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(real))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2789])])).
% 59.37/9.99  tff(f35994,plain,(
% 59.37/9.99    ( ! [X0 : real] : (filterlim(real,real,aTP_Lamp_yc(real,fun(real,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(real))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10154])).
% 59.37/9.99  tff(f10154,plain,(
% 59.37/9.99    ! [X0 : real] : filterlim(real,real,aTP_Lamp_yc(real,fun(real,real),X0),topolo7230453075368039082e_nhds(real,exp(real,X0)),at_top(real))),
% 59.37/9.99    inference(rectify,[],[f6060])).
% 59.37/9.99  tff(f6060,axiom,(
% 59.37/9.99    ! [X14 : real] : filterlim(real,real,aTP_Lamp_yc(real,fun(real,real),X14),topolo7230453075368039082e_nhds(real,exp(real,X14)),at_top(real))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6059_tendsto__exp__limit__at__top)).
% 59.37/9.99  tff(f81536,plain,(
% 59.37/9.99    spl2737_2788 | ~spl2737_2787),
% 59.37/9.99    inference(avatar_split_clause,[],[f81532,f81529,f81534])).
% 59.37/9.99  tff(f81529,plain,(
% 59.37/9.99    spl2737_2787 <=> ! [X0 : set(int)] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Lcm(int,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2787])])).
% 59.37/9.99  tff(f81532,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),gcd_Lcm(int,X0)),zero_zero(int)))) ) | ~spl2737_2787),
% 59.37/9.99    inference(forward_demodulation,[],[f81530,f50171])).
% 59.37/9.99  tff(f81530,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Lcm(int,X0)))) ) | ~spl2737_2787),
% 59.37/9.99    inference(avatar_component_clause,[],[f81529])).
% 59.37/9.99  tff(f81531,plain,(
% 59.37/9.99    spl2737_2787),
% 59.37/9.99    inference(avatar_split_clause,[],[f35993,f81529])).
% 59.37/9.99  tff(f35993,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Lcm(int,X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10153])).
% 59.37/9.99  tff(f10153,plain,(
% 59.37/9.99    ! [X0 : set(int)] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Lcm(int,X0)))),
% 59.37/9.99    inference(rectify,[],[f7504])).
% 59.37/9.99  tff(f7504,axiom,(
% 59.37/9.99    ! [X161 : set(int)] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Lcm(int,X161)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7503_Lcm__int__greater__eq__0)).
% 59.37/9.99  tff(f81519,plain,(
% 59.37/9.99    spl2737_2786 | ~spl2737_2785),
% 59.37/9.99    inference(avatar_split_clause,[],[f81515,f81512,f81517])).
% 59.37/9.99  tff(f81512,plain,(
% 59.37/9.99    spl2737_2785 <=> ! [X0 : set(int)] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2785])])).
% 59.37/9.99  tff(f81515,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),gcd_Gcd(int,X0)),zero_zero(int)))) ) | ~spl2737_2785),
% 59.37/9.99    inference(forward_demodulation,[],[f81513,f50171])).
% 59.37/9.99  tff(f81513,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0)))) ) | ~spl2737_2785),
% 59.37/9.99    inference(avatar_component_clause,[],[f81512])).
% 59.37/9.99  tff(f81514,plain,(
% 59.37/9.99    spl2737_2785),
% 59.37/9.99    inference(avatar_split_clause,[],[f35992,f81512])).
% 59.37/9.99  tff(f35992,plain,(
% 59.37/9.99    ( ! [X0 : set(int)] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10152])).
% 59.37/9.99  tff(f10152,plain,(
% 59.37/9.99    ! [X0 : set(int)] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X0)))),
% 59.37/9.99    inference(rectify,[],[f4742])).
% 59.37/9.99  tff(f4742,axiom,(
% 59.37/9.99    ! [X161 : set(int)] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),gcd_Gcd(int,X161)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4741_Gcd__int__greater__eq__0)).
% 59.37/9.99  tff(f81503,plain,(
% 59.37/9.99    spl2737_2784 | ~spl2737_2783),
% 59.37/9.99    inference(avatar_split_clause,[],[f81499,f81496,f81501])).
% 59.37/9.99  tff(f81496,plain,(
% 59.37/9.99    spl2737_2783 <=> ! [X0 : nat] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2783])])).
% 59.37/9.99  tff(f81499,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))) ) | ~spl2737_2783),
% 59.37/9.99    inference(forward_demodulation,[],[f81497,f50171])).
% 59.37/9.99  tff(f81497,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))) ) | ~spl2737_2783),
% 59.37/9.99    inference(avatar_component_clause,[],[f81496])).
% 59.37/9.99  tff(f81498,plain,(
% 59.37/9.99    spl2737_2783),
% 59.37/9.99    inference(avatar_split_clause,[],[f35991,f81496])).
% 59.37/9.99  tff(f35991,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10151])).
% 59.37/9.99  tff(f10151,plain,(
% 59.37/9.99    ! [X0 : nat] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))),
% 59.37/9.99    inference(rectify,[],[f3271])).
% 59.37/9.99  tff(f3271,axiom,(
% 59.37/9.99    ! [X8 : nat] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X8)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3270_mask__nonnegative__int)).
% 59.37/9.99  tff(f81494,plain,(
% 59.37/9.99    spl2737_2782),
% 59.37/9.99    inference(avatar_split_clause,[],[f35984,f81492])).
% 59.37/9.99  tff(f81492,plain,(
% 59.37/9.99    spl2737_2782 <=> ! [X0 : real] : aa(real,real,aTP_Lamp_ql(real,real),X0) = suminf(real,aTP_Lamp_as(real,fun(nat,real),X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2782])])).
% 59.37/9.99  tff(f35984,plain,(
% 59.37/9.99    ( ! [X0 : real] : (aa(real,real,aTP_Lamp_ql(real,real),X0) = suminf(real,aTP_Lamp_as(real,fun(nat,real),X0))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10144])).
% 59.37/9.99  tff(f10144,plain,(
% 59.37/9.99    ! [X0 : real] : aa(real,real,aTP_Lamp_ql(real,real),X0) = suminf(real,aTP_Lamp_as(real,fun(nat,real),X0))),
% 59.37/9.99    inference(rectify,[],[f8147])).
% 59.37/9.99  tff(f8147,axiom,(
% 59.37/9.99    ! [X94 : real] : aa(real,real,aTP_Lamp_ql(real,real),X94) = suminf(real,aTP_Lamp_as(real,fun(nat,real),X94))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8146_ATP_Olambda__31)).
% 59.37/9.99  tff(f81490,plain,(
% 59.37/9.99    spl2737_2781),
% 59.37/9.99    inference(avatar_split_clause,[],[f35983,f81488])).
% 59.37/9.99  tff(f81488,plain,(
% 59.37/9.99    spl2737_2781 <=> ! [X0 : nat] : aa(num,option(num),some(num),one2) = bit_take_bit_num(aa(nat,nat,suc,X0),one2)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2781])])).
% 59.37/9.99  tff(f35983,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(num,option(num),some(num),one2) = bit_take_bit_num(aa(nat,nat,suc,X0),one2)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10143])).
% 59.37/9.99  tff(f10143,plain,(
% 59.37/9.99    ! [X0 : nat] : aa(num,option(num),some(num),one2) = bit_take_bit_num(aa(nat,nat,suc,X0),one2)),
% 59.37/9.99    inference(rectify,[],[f5025])).
% 59.37/9.99  tff(f5025,axiom,(
% 59.37/9.99    ! [X8 : nat] : bit_take_bit_num(aa(nat,nat,suc,X8),one2) = aa(num,option(num),some(num),one2)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5024_take__bit__num__simps_I2_J)).
% 59.37/9.99  tff(f81486,plain,(
% 59.37/9.99    spl2737_2780),
% 59.37/9.99    inference(avatar_split_clause,[],[f35977,f81484])).
% 59.37/9.99  tff(f81484,plain,(
% 59.37/9.99    spl2737_2780 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) = aa(nat,nat,binomial(aa(nat,nat,suc,X0)),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2780])])).
% 59.37/9.99  tff(f35977,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (aa(nat,nat,suc,X0) = aa(nat,nat,binomial(aa(nat,nat,suc,X0)),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10138])).
% 59.37/9.99  tff(f10138,plain,(
% 59.37/9.99    ! [X0 : nat] : aa(nat,nat,suc,X0) = aa(nat,nat,binomial(aa(nat,nat,suc,X0)),X0)),
% 59.37/9.99    inference(rectify,[],[f2617])).
% 59.37/9.99  tff(f2617,axiom,(
% 59.37/9.99    ! [X8 : nat] : aa(nat,nat,suc,X8) = aa(nat,nat,binomial(aa(nat,nat,suc,X8)),X8)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2616_binomial__Suc__n)).
% 59.37/9.99  tff(f81482,plain,(
% 59.37/9.99    spl2737_2779),
% 59.37/9.99    inference(avatar_split_clause,[],[f35974,f81480])).
% 59.37/9.99  tff(f81480,plain,(
% 59.37/9.99    spl2737_2779 <=> ! [X0 : $tType] : top_top(set(X0)) = aa(set(X0),set(X0),uminus_uminus(set(X0)),bot_bot(set(X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2779])])).
% 59.37/9.99  tff(f35974,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (top_top(set(X0)) = aa(set(X0),set(X0),uminus_uminus(set(X0)),bot_bot(set(X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f5615])).
% 59.37/9.99  tff(f5615,axiom,(
% 59.37/9.99    ! [X0 : $tType] : top_top(set(X0)) = aa(set(X0),set(X0),uminus_uminus(set(X0)),bot_bot(set(X0)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5614_Compl__empty__eq)).
% 59.37/9.99  tff(f81478,plain,(
% 59.37/9.99    spl2737_2778),
% 59.37/9.99    inference(avatar_split_clause,[],[f35973,f81476])).
% 59.37/9.99  tff(f81476,plain,(
% 59.37/9.99    spl2737_2778 <=> ! [X0 : $tType] : bot_bot(set(X0)) = aa(set(X0),set(X0),uminus_uminus(set(X0)),top_top(set(X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2778])])).
% 59.37/9.99  tff(f35973,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (bot_bot(set(X0)) = aa(set(X0),set(X0),uminus_uminus(set(X0)),top_top(set(X0)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f5614])).
% 59.37/9.99  tff(f5614,axiom,(
% 59.37/9.99    ! [X0 : $tType] : bot_bot(set(X0)) = aa(set(X0),set(X0),uminus_uminus(set(X0)),top_top(set(X0)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5613_Compl__UNIV__eq)).
% 59.37/9.99  tff(f81474,plain,(
% 59.37/9.99    spl2737_2777),
% 59.37/9.99    inference(avatar_split_clause,[],[f35962,f81472])).
% 59.37/9.99  tff(f81472,plain,(
% 59.37/9.99    spl2737_2777 <=> ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X0)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2777])])).
% 59.37/9.99  tff(f35962,plain,(
% 59.37/9.99    ( ! [X0 : int] : (zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X0)) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10125])).
% 59.37/9.99  tff(f10125,plain,(
% 59.37/9.99    ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X0)),
% 59.37/9.99    inference(rectify,[],[f1065])).
% 59.37/9.99  tff(f1065,axiom,(
% 59.37/9.99    ! [X51 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),zero_zero(int)),X51)),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1064_times__int__code_I2_J)).
% 59.37/9.99  tff(f81470,plain,(
% 59.37/9.99    spl2737_2776),
% 59.37/9.99    inference(avatar_split_clause,[],[f35961,f81468])).
% 59.37/9.99  tff(f81468,plain,(
% 59.37/9.99    spl2737_2776 <=> ! [X0 : int] : zero_zero(int) = aa(int,int,aa(int,fun(int,int),times_times(int),X0),zero_zero(int))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2776])])).
% 59.37/9.99  tff(f81466,plain,(
% 59.37/9.99    spl2737_2775),
% 59.37/9.99    inference(avatar_split_clause,[],[f35960,f81464])).
% 59.37/9.99  tff(f81464,plain,(
% 59.37/9.99    spl2737_2775 <=> ! [X0 : nat] : one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),one_one(nat))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2775])])).
% 59.37/9.99  tff(f35960,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),one_one(nat))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10123])).
% 59.37/9.99  tff(f10123,plain,(
% 59.37/9.99    ! [X0 : nat] : one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),one_one(nat))),
% 59.37/9.99    inference(rectify,[],[f6655])).
% 59.37/9.99  tff(f6655,axiom,(
% 59.37/9.99    ! [X9 : nat] : one_one(nat) = aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X9),one_one(nat))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6654_gcd__1__nat)).
% 59.37/9.99  tff(f81462,plain,(
% 59.37/9.99    spl2737_2774),
% 59.37/9.99    inference(avatar_split_clause,[],[f35959,f81460])).
% 59.37/9.99  tff(f81460,plain,(
% 59.37/9.99    spl2737_2774 <=> ! [X0 : int] : one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X0),one_one(int))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2774])])).
% 59.37/9.99  tff(f35959,plain,(
% 59.37/9.99    ( ! [X0 : int] : (one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X0),one_one(int))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10122])).
% 59.37/9.99  tff(f10122,plain,(
% 59.37/9.99    ! [X0 : int] : one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X0),one_one(int))),
% 59.37/9.99    inference(rectify,[],[f6596])).
% 59.37/9.99  tff(f6596,axiom,(
% 59.37/9.99    ! [X9 : int] : one_one(int) = aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X9),one_one(int))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6595_gcd__1__int)).
% 59.37/9.99  tff(f81455,plain,(
% 59.37/9.99    spl2737_2773 | ~spl2737_2772),
% 59.37/9.99    inference(avatar_split_clause,[],[f81451,f81448,f81453])).
% 59.37/9.99  tff(f81453,plain,(
% 59.37/9.99    spl2737_2773 <=> ! [X0 : nat] : ~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2773])])).
% 59.37/9.99  tff(f81448,plain,(
% 59.37/9.99    spl2737_2772 <=> ! [X0 : nat] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2772])])).
% 59.37/9.99  tff(f81451,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),bit_se2239418461657761734s_mask(int,X0)))) ) | ~spl2737_2772),
% 59.37/9.99    inference(forward_demodulation,[],[f81449,f50171])).
% 59.37/9.99  tff(f81449,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))) ) | ~spl2737_2772),
% 59.37/9.99    inference(avatar_component_clause,[],[f81448])).
% 59.37/9.99  tff(f81450,plain,(
% 59.37/9.99    spl2737_2772),
% 59.37/9.99    inference(avatar_split_clause,[],[f35958,f81448])).
% 59.37/9.99  tff(f35958,plain,(
% 59.37/9.99    ( ! [X0 : nat] : (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))) )),
% 59.37/9.99    inference(cnf_transformation,[],[f10121])).
% 59.37/9.99  tff(f10121,plain,(
% 59.37/9.99    ! [X0 : nat] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2239418461657761734s_mask(int,X0)),zero_zero(int)))),
% 59.37/9.99    inference(rectify,[],[f3272])).
% 59.37/9.99  tff(f3272,axiom,(
% 59.37/9.99    ! [X8 : nat] : ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),bit_se2239418461657761734s_mask(int,X8)),zero_zero(int)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3271_not__mask__negative__int)).
% 59.37/9.99  tff(f81446,plain,(
% 59.37/9.99    spl2737_2771),
% 59.37/9.99    inference(avatar_split_clause,[],[f35543,f81443])).
% 59.37/9.99  tff(f81443,plain,(
% 59.37/9.99    spl2737_2771 <=> top_top(set(nat)) = image(product_prod(nat,nat),nat,nat_prod_encode,top_top(set(product_prod(nat,nat))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2771])])).
% 59.37/9.99  tff(f35543,plain,(
% 59.37/9.99    top_top(set(nat)) = image(product_prod(nat,nat),nat,nat_prod_encode,top_top(set(product_prod(nat,nat))))),
% 59.37/9.99    inference(cnf_transformation,[],[f5665])).
% 59.37/9.99  tff(f5665,axiom,(
% 59.37/9.99    top_top(set(nat)) = image(product_prod(nat,nat),nat,nat_prod_encode,top_top(set(product_prod(nat,nat))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5664_surj__prod__encode)).
% 59.37/9.99  tff(f81441,plain,(
% 59.37/9.99    spl2737_2770),
% 59.37/9.99    inference(avatar_split_clause,[],[f35542,f81438])).
% 59.37/9.99  tff(f81438,plain,(
% 59.37/9.99    spl2737_2770 <=> top_top(set(nat)) = image(sum_sum(nat,nat),nat,nat_sum_encode,top_top(set(sum_sum(nat,nat))))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2770])])).
% 59.37/9.99  tff(f35542,plain,(
% 59.37/9.99    top_top(set(nat)) = image(sum_sum(nat,nat),nat,nat_sum_encode,top_top(set(sum_sum(nat,nat))))),
% 59.37/9.99    inference(cnf_transformation,[],[f8076])).
% 59.37/9.99  tff(f8076,axiom,(
% 59.37/9.99    top_top(set(nat)) = image(sum_sum(nat,nat),nat,nat_sum_encode,top_top(set(sum_sum(nat,nat))))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8075_surj__sum__encode)).
% 59.37/9.99  tff(f81436,plain,(
% 59.37/9.99    spl2737_2769),
% 59.37/9.99    inference(avatar_split_clause,[],[f35540,f81433])).
% 59.37/9.99  tff(f81433,plain,(
% 59.37/9.99    spl2737_2769 <=> one_one(rat) = aa(int,rat,aa(int,fun(int,rat),fract,one_one(int)),one_one(int))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2769])])).
% 59.37/9.99  tff(f35540,plain,(
% 59.37/9.99    one_one(rat) = aa(int,rat,aa(int,fun(int,rat),fract,one_one(int)),one_one(int))),
% 59.37/9.99    inference(cnf_transformation,[],[f4986])).
% 59.37/9.99  tff(f4986,axiom,(
% 59.37/9.99    one_one(rat) = aa(int,rat,aa(int,fun(int,rat),fract,one_one(int)),one_one(int))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4985_One__rat__def)).
% 59.37/9.99  tff(f81431,plain,(
% 59.37/9.99    spl2737_2768 | ~spl2737_814 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69339,f68909,f68289,f81428])).
% 59.37/9.99  tff(f81428,plain,(
% 59.37/9.99    spl2737_2768 <=> sP232(int)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2768])])).
% 59.37/9.99  tff(f68289,plain,(
% 59.37/9.99    spl2737_814 <=> ord(int)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_814])])).
% 59.37/9.99  tff(f68909,plain,(
% 59.37/9.99    spl2737_963 <=> ! [X0 : $tType] : (sP232(X0) | ~ord(X0))),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_963])])).
% 59.37/9.99  tff(f69339,plain,(
% 59.37/9.99    sP232(int) | (~spl2737_814 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68291])).
% 59.37/9.99  tff(f68291,plain,(
% 59.37/9.99    ord(int) | ~spl2737_814),
% 59.37/9.99    inference(avatar_component_clause,[],[f68289])).
% 59.37/9.99  tff(f68910,plain,(
% 59.37/9.99    ( ! [X0 : $tType] : (~ord(X0) | sP232(X0)) ) | ~spl2737_963),
% 59.37/9.99    inference(avatar_component_clause,[],[f68909])).
% 59.37/9.99  tff(f81425,plain,(
% 59.37/9.99    spl2737_2767),
% 59.37/9.99    inference(avatar_split_clause,[],[f35539,f81422])).
% 59.37/9.99  tff(f35539,plain,(
% 59.37/9.99    one_one(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,one_one(int)),one_one(int)))),
% 59.37/9.99    inference(cnf_transformation,[],[f4556])).
% 59.37/9.99  tff(f4556,axiom,(
% 59.37/9.99    one_one(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,one_one(int)),one_one(int)))),
% 59.37/9.99    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4555_Frct__code__post_I3_J)).
% 59.37/9.99  tff(f81389,plain,(
% 59.37/9.99    spl2737_2766 | ~spl2737_816 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69338,f68909,f68299,f81386])).
% 59.37/9.99  tff(f81386,plain,(
% 59.37/9.99    spl2737_2766 <=> sP232(nat)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2766])])).
% 59.37/9.99  tff(f68299,plain,(
% 59.37/9.99    spl2737_816 <=> ord(nat)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_816])])).
% 59.37/9.99  tff(f69338,plain,(
% 59.37/9.99    sP232(nat) | (~spl2737_816 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68301])).
% 59.37/9.99  tff(f68301,plain,(
% 59.37/9.99    ord(nat) | ~spl2737_816),
% 59.37/9.99    inference(avatar_component_clause,[],[f68299])).
% 59.37/9.99  tff(f81318,plain,(
% 59.37/9.99    spl2737_2765 | ~spl2737_812 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69337,f68909,f68279,f81315])).
% 59.37/9.99  tff(f81315,plain,(
% 59.37/9.99    spl2737_2765 <=> sP232(num)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2765])])).
% 59.37/9.99  tff(f68279,plain,(
% 59.37/9.99    spl2737_812 <=> ord(num)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_812])])).
% 59.37/9.99  tff(f69337,plain,(
% 59.37/9.99    sP232(num) | (~spl2737_812 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68281])).
% 59.37/9.99  tff(f68281,plain,(
% 59.37/9.99    ord(num) | ~spl2737_812),
% 59.37/9.99    inference(avatar_component_clause,[],[f68279])).
% 59.37/9.99  tff(f81298,plain,(
% 59.37/9.99    spl2737_2764 | ~spl2737_811 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69336,f68909,f68274,f81295])).
% 59.37/9.99  tff(f81295,plain,(
% 59.37/9.99    spl2737_2764 <=> sP232(rat)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2764])])).
% 59.37/9.99  tff(f68274,plain,(
% 59.37/9.99    spl2737_811 <=> ord(rat)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_811])])).
% 59.37/9.99  tff(f69336,plain,(
% 59.37/9.99    sP232(rat) | (~spl2737_811 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68276])).
% 59.37/9.99  tff(f68276,plain,(
% 59.37/9.99    ord(rat) | ~spl2737_811),
% 59.37/9.99    inference(avatar_component_clause,[],[f68274])).
% 59.37/9.99  tff(f81255,plain,(
% 59.37/9.99    spl2737_2763 | ~spl2737_815 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69334,f68909,f68294,f81252])).
% 59.37/9.99  tff(f81252,plain,(
% 59.37/9.99    spl2737_2763 <=> sP232(bool)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2763])])).
% 59.37/9.99  tff(f68294,plain,(
% 59.37/9.99    spl2737_815 <=> ord(bool)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_815])])).
% 59.37/9.99  tff(f69334,plain,(
% 59.37/9.99    sP232(bool) | (~spl2737_815 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68296])).
% 59.37/9.99  tff(f68296,plain,(
% 59.37/9.99    ord(bool) | ~spl2737_815),
% 59.37/9.99    inference(avatar_component_clause,[],[f68294])).
% 59.37/9.99  tff(f81193,plain,(
% 59.37/9.99    spl2737_2762 | ~spl2737_813 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69333,f68909,f68284,f81190])).
% 59.37/9.99  tff(f81190,plain,(
% 59.37/9.99    spl2737_2762 <=> sP232(real)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2762])])).
% 59.37/9.99  tff(f68284,plain,(
% 59.37/9.99    spl2737_813 <=> ord(real)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_813])])).
% 59.37/9.99  tff(f69333,plain,(
% 59.37/9.99    sP232(real) | (~spl2737_813 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68286])).
% 59.37/9.99  tff(f68286,plain,(
% 59.37/9.99    ord(real) | ~spl2737_813),
% 59.37/9.99    inference(avatar_component_clause,[],[f68284])).
% 59.37/9.99  tff(f81130,plain,(
% 59.37/9.99    spl2737_2761 | ~spl2737_806 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69331,f68909,f68249,f81127])).
% 59.37/9.99  tff(f81127,plain,(
% 59.37/9.99    spl2737_2761 <=> sP232(literal)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2761])])).
% 59.37/9.99  tff(f68249,plain,(
% 59.37/9.99    spl2737_806 <=> ord(literal)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_806])])).
% 59.37/9.99  tff(f69331,plain,(
% 59.37/9.99    sP232(literal) | (~spl2737_806 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68251])).
% 59.37/9.99  tff(f68251,plain,(
% 59.37/9.99    ord(literal) | ~spl2737_806),
% 59.37/9.99    inference(avatar_component_clause,[],[f68249])).
% 59.37/9.99  tff(f81119,plain,(
% 59.37/9.99    spl2737_2760 | ~spl2737_808 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69330,f68909,f68259,f81116])).
% 59.37/9.99  tff(f81116,plain,(
% 59.37/9.99    spl2737_2760 <=> sP232(extended_enat)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2760])])).
% 59.37/9.99  tff(f68259,plain,(
% 59.37/9.99    spl2737_808 <=> ord(extended_enat)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_808])])).
% 59.37/9.99  tff(f69330,plain,(
% 59.37/9.99    sP232(extended_enat) | (~spl2737_808 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68261])).
% 59.37/9.99  tff(f68261,plain,(
% 59.37/9.99    ord(extended_enat) | ~spl2737_808),
% 59.37/9.99    inference(avatar_component_clause,[],[f68259])).
% 59.37/9.99  tff(f81103,plain,(
% 59.37/9.99    spl2737_2759 | ~spl2737_807 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69329,f68909,f68254,f81100])).
% 59.37/9.99  tff(f81100,plain,(
% 59.37/9.99    spl2737_2759 <=> sP232(product_unit)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2759])])).
% 59.37/9.99  tff(f68254,plain,(
% 59.37/9.99    spl2737_807 <=> ord(product_unit)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_807])])).
% 59.37/9.99  tff(f69329,plain,(
% 59.37/9.99    sP232(product_unit) | (~spl2737_807 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68256])).
% 59.37/9.99  tff(f68256,plain,(
% 59.37/9.99    ord(product_unit) | ~spl2737_807),
% 59.37/9.99    inference(avatar_component_clause,[],[f68254])).
% 59.37/9.99  tff(f80884,plain,(
% 59.37/9.99    spl2737_2758 | ~spl2737_810 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69328,f68909,f68269,f80881])).
% 59.37/9.99  tff(f80881,plain,(
% 59.37/9.99    spl2737_2758 <=> sP232(code_integer)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2758])])).
% 59.37/9.99  tff(f68269,plain,(
% 59.37/9.99    spl2737_810 <=> ord(code_integer)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_810])])).
% 59.37/9.99  tff(f69328,plain,(
% 59.37/9.99    sP232(code_integer) | (~spl2737_810 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68271])).
% 59.37/9.99  tff(f68271,plain,(
% 59.37/9.99    ord(code_integer) | ~spl2737_810),
% 59.37/9.99    inference(avatar_component_clause,[],[f68269])).
% 59.37/9.99  tff(f80814,plain,(
% 59.37/9.99    spl2737_2757 | ~spl2737_809 | ~spl2737_963),
% 59.37/9.99    inference(avatar_split_clause,[],[f69327,f68909,f68264,f80811])).
% 59.37/9.99  tff(f80811,plain,(
% 59.37/9.99    spl2737_2757 <=> sP232(code_natural)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_2757])])).
% 59.37/9.99  tff(f68264,plain,(
% 59.37/9.99    spl2737_809 <=> ord(code_natural)),
% 59.37/9.99    introduced(avatar_definition,[new_symbols(naming,[spl2737_809])])).
% 59.37/9.99  tff(f69327,plain,(
% 59.37/9.99    sP232(code_natural) | (~spl2737_809 | ~spl2737_963)),
% 59.37/9.99    inference(resolution,[],[f68910,f68266])).
% 59.37/9.99  tff(f68266,plain,(
% 59.37/10.00    ord(code_natural) | ~spl2737_809),
% 59.37/10.00    inference(avatar_component_clause,[],[f68264])).
% 59.37/10.00  tff(f80787,plain,(
% 59.37/10.00    spl2737_2756 | ~spl2737_814 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69326,f68905,f68289,f80784])).
% 59.37/10.00  tff(f80784,plain,(
% 59.37/10.00    spl2737_2756 <=> sP228(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2756])])).
% 59.37/10.00  tff(f68905,plain,(
% 59.37/10.00    spl2737_962 <=> ! [X0 : $tType] : (sP228(X0) | ~ord(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_962])])).
% 59.37/10.00  tff(f69326,plain,(
% 59.37/10.00    sP228(int) | (~spl2737_814 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68291])).
% 59.37/10.00  tff(f68906,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~ord(X0) | sP228(X0)) ) | ~spl2737_962),
% 59.37/10.00    inference(avatar_component_clause,[],[f68905])).
% 59.37/10.00  tff(f80733,plain,(
% 59.37/10.00    spl2737_2755 | ~spl2737_816 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69325,f68905,f68299,f80730])).
% 59.37/10.00  tff(f80730,plain,(
% 59.37/10.00    spl2737_2755 <=> sP228(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2755])])).
% 59.37/10.00  tff(f69325,plain,(
% 59.37/10.00    sP228(nat) | (~spl2737_816 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68301])).
% 59.37/10.00  tff(f80674,plain,(
% 59.37/10.00    spl2737_2754 | ~spl2737_812 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69324,f68905,f68279,f80671])).
% 59.37/10.00  tff(f80671,plain,(
% 59.37/10.00    spl2737_2754 <=> sP228(num)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2754])])).
% 59.37/10.00  tff(f69324,plain,(
% 59.37/10.00    sP228(num) | (~spl2737_812 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68281])).
% 59.37/10.00  tff(f80624,plain,(
% 59.37/10.00    spl2737_2753 | ~spl2737_811 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69323,f68905,f68274,f80621])).
% 59.37/10.00  tff(f80621,plain,(
% 59.37/10.00    spl2737_2753 <=> sP228(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2753])])).
% 59.37/10.00  tff(f69323,plain,(
% 59.37/10.00    sP228(rat) | (~spl2737_811 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68276])).
% 59.37/10.00  tff(f80591,plain,(
% 59.37/10.00    spl2737_2752 | ~spl2737_815 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69321,f68905,f68294,f80588])).
% 59.37/10.00  tff(f80588,plain,(
% 59.37/10.00    spl2737_2752 <=> sP228(bool)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2752])])).
% 59.37/10.00  tff(f69321,plain,(
% 59.37/10.00    sP228(bool) | (~spl2737_815 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68296])).
% 59.37/10.00  tff(f80554,plain,(
% 59.37/10.00    spl2737_2751 | ~spl2737_813 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69320,f68905,f68284,f80551])).
% 59.37/10.00  tff(f80551,plain,(
% 59.37/10.00    spl2737_2751 <=> sP228(real)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2751])])).
% 59.37/10.00  tff(f69320,plain,(
% 59.37/10.00    sP228(real) | (~spl2737_813 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68286])).
% 59.37/10.00  tff(f80490,plain,(
% 59.37/10.00    spl2737_2750 | ~spl2737_806 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69318,f68905,f68249,f80487])).
% 59.37/10.00  tff(f80487,plain,(
% 59.37/10.00    spl2737_2750 <=> sP228(literal)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2750])])).
% 59.37/10.00  tff(f69318,plain,(
% 59.37/10.00    sP228(literal) | (~spl2737_806 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68251])).
% 59.37/10.00  tff(f80454,plain,(
% 59.37/10.00    spl2737_2749 | ~spl2737_808 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69317,f68905,f68259,f80451])).
% 59.37/10.00  tff(f80451,plain,(
% 59.37/10.00    spl2737_2749 <=> sP228(extended_enat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2749])])).
% 59.37/10.00  tff(f69317,plain,(
% 59.37/10.00    sP228(extended_enat) | (~spl2737_808 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68261])).
% 59.37/10.00  tff(f80409,plain,(
% 59.37/10.00    spl2737_2748 | ~spl2737_807 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69316,f68905,f68254,f80406])).
% 59.37/10.00  tff(f80406,plain,(
% 59.37/10.00    spl2737_2748 <=> sP228(product_unit)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2748])])).
% 59.37/10.00  tff(f69316,plain,(
% 59.37/10.00    sP228(product_unit) | (~spl2737_807 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68256])).
% 59.37/10.00  tff(f80404,plain,(
% 59.37/10.00    spl2737_2747),
% 59.37/10.00    inference(avatar_split_clause,[],[f62239,f80402])).
% 59.37/10.00  tff(f80402,plain,(
% 59.37/10.00    spl2737_2747 <=> ! [X0 : $tType,X2 : set(X0)] : (~sP479(X0,size_num(one2),X2) | bot_bot(set(X0)) = sK2406(X0,size_num(one2),X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2747])])).
% 59.37/10.00  tff(f62239,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : set(X0)] : (~sP479(X0,size_num(one2),X2) | bot_bot(set(X0)) = sK2406(X0,size_num(one2),X2)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f62238,f35397])).
% 59.37/10.00  tff(f62238,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : set(X0)] : (bot_bot(set(X0)) = sK2406(X0,size_num(one2),X2) | ~sP479(X0,zero_zero(nat),X2)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f53650,f35397])).
% 59.37/10.00  tff(f53650,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : set(X0)] : (bot_bot(set(X0)) = sK2406(X0,zero_zero(nat),X2) | ~sP479(X0,zero_zero(nat),X2)) )),
% 59.37/10.00    inference(equality_resolution,[],[f48609])).
% 59.37/10.00  tff(f48609,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : set(X0),X1 : nat] : (bot_bot(set(X0)) = sK2406(X0,X1,X2) | zero_zero(nat) != X1 | ~sP479(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33410])).
% 59.37/10.00  tff(f33410,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : nat,X2 : set(X0)] : ((sP479(X0,X1,X2) | ! [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) != X4 & zero_zero(nat) = X1) | aa(set(X0),nat,finite_card(X0),X4) != X1 | pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X4)) | aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X4) != X2)) & (((bot_bot(set(X0)) = sK2406(X0,X1,X2) | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),sK2406(X0,X1,X2)) = X1 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2405(X0,X1,X2)),sK2406(X0,X1,X2))) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),sK2405(X0,X1,X2)),sK2406(X0,X1,X2)) = X2) | ~sP479(X0,X1,X2)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2405,sK2406])],[f33408,f33409])).
% 59.37/10.00  tff(f33409,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : nat,X2 : set(X0)] : (? [X5 : X0,X6 : set(X0)] : ((bot_bot(set(X0)) = X6 | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),X6) = X1 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X6)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X5),X6) = X2) => ((bot_bot(set(X0)) = sK2406(X0,X1,X2) | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),sK2406(X0,X1,X2)) = X1 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2405(X0,X1,X2)),sK2406(X0,X1,X2))) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),sK2405(X0,X1,X2)),sK2406(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f33408,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : nat,X2 : set(X0)] : ((sP479(X0,X1,X2) | ! [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) != X4 & zero_zero(nat) = X1) | aa(set(X0),nat,finite_card(X0),X4) != X1 | pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X4)) | aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X4) != X2)) & (? [X5 : X0,X6 : set(X0)] : ((bot_bot(set(X0)) = X6 | zero_zero(nat) != X1) & aa(set(X0),nat,finite_card(X0),X6) = X1 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X6)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X5),X6) = X2) | ~sP479(X0,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f33407])).
% 59.37/10.00  tff(f33407,plain,(
% 59.37/10.00    ! [X0 : $tType,X2 : nat,X1 : set(X0)] : ((sP479(X0,X2,X1) | ! [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) != X4 & zero_zero(nat) = X2) | aa(set(X0),nat,finite_card(X0),X4) != X2 | pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X4)) | aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X4) != X1)) & (? [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) = X4 | zero_zero(nat) != X2) & aa(set(X0),nat,finite_card(X0),X4) = X2 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X4)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X4) = X1) | ~sP479(X0,X2,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27799])).
% 59.37/10.00  tff(f27799,plain,(
% 59.37/10.00    ! [X0 : $tType,X2 : nat,X1 : set(X0)] : (sP479(X0,X2,X1) <=> ? [X3 : X0,X4 : set(X0)] : ((bot_bot(set(X0)) = X4 | zero_zero(nat) != X2) & aa(set(X0),nat,finite_card(X0),X4) = X2 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X4)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X4) = X1))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP479])])).
% 59.37/10.00  tff(f80400,plain,(
% 59.37/10.00    spl2737_2746),
% 59.37/10.00    inference(avatar_split_clause,[],[f61197,f80398])).
% 59.37/10.00  tff(f80398,plain,(
% 59.37/10.00    spl2737_2746 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (one_one(nat) = aa(X1,nat,X0,sK2075(X1,X0,X2)) | ~sP388(X1,X0,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2746])])).
% 59.37/10.00  tff(f61197,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (one_one(nat) = aa(X1,nat,X0,sK2075(X1,X0,X2)) | ~sP388(X1,X0,X2)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f61196,f54053])).
% 59.37/10.00  tff(f61196,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(X1,nat,X0,sK2075(X1,X0,X2)) = aa(nat,nat,suc,size_num(one2)) | ~sP388(X1,X0,X2)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f47547,f35397])).
% 59.37/10.00  tff(f47547,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,sK2075(X1,X0,X2)) | ~sP388(X1,X0,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32658])).
% 59.37/10.00  tff(f32658,plain,(
% 59.37/10.00    ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP388(X1,X0,X2) | ! [X3 : X1] : ((zero_zero(nat) != aa(X1,nat,X0,sK2074(X1,X0,X2,X3)) & sK2074(X1,X0,X2,X3) != X3 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2074(X1,X0,X2,X3)),X2))) | aa(nat,nat,suc,zero_zero(nat)) != aa(X1,nat,X0,X3) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X2)))) & ((! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK2075(X1,X0,X2) = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,sK2075(X1,X0,X2)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2075(X1,X0,X2)),X2))) | ~sP388(X1,X0,X2)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2074,sK2075])],[f32655,f32657,f32656])).
% 59.37/10.00  tff(f32656,plain,(
% 59.37/10.00    ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1),X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X2))) => (zero_zero(nat) != aa(X1,nat,X0,sK2074(X1,X0,X2,X3)) & sK2074(X1,X0,X2,X3) != X3 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2074(X1,X0,X2,X3)),X2))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32657,plain,(
% 59.37/10.00    ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1)] : (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,X5) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X2))) => (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK2075(X1,X0,X2) = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,sK2075(X1,X0,X2)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2075(X1,X0,X2)),X2))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32655,plain,(
% 59.37/10.00    ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP388(X1,X0,X2) | ! [X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X2))) | aa(nat,nat,suc,zero_zero(nat)) != aa(X1,nat,X0,X3) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X2)))) & (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X1,nat,X0,X5) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X2))) | ~sP388(X1,X0,X2)))),
% 59.37/10.00    inference(rectify,[],[f32654])).
% 59.37/10.00  tff(f32654,plain,(
% 59.37/10.00    ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : ((sP388(X0,X2,X1) | ! [X3 : X0] : (? [X4 : X0] : (zero_zero(nat) != aa(X0,nat,X2,X4) & X3 != X4 & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) | aa(nat,nat,suc,zero_zero(nat)) != aa(X0,nat,X2,X3) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))) & (? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) | ~sP388(X0,X2,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27676])).
% 59.37/10.00  tff(f27676,plain,(
% 59.37/10.00    ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : (sP388(X0,X2,X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP388])])).
% 59.37/10.00  tff(f80396,plain,(
% 59.37/10.00    spl2737_2745 | ~spl2737_810 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69315,f68905,f68269,f80393])).
% 59.37/10.00  tff(f80393,plain,(
% 59.37/10.00    spl2737_2745 <=> sP228(code_integer)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2745])])).
% 59.37/10.00  tff(f69315,plain,(
% 59.37/10.00    sP228(code_integer) | (~spl2737_810 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68271])).
% 59.37/10.00  tff(f80391,plain,(
% 59.37/10.00    spl2737_2744),
% 59.37/10.00    inference(avatar_split_clause,[],[f60190,f80389])).
% 59.37/10.00  tff(f60190,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0)] : (pp(aa(set(X0),bool,finite_finite(X0),image(nat,X0,X3,order_underS(nat,bNF_Ca8665028551170535155natLeq,X2))))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f53338,f36051])).
% 59.37/10.00  tff(f53338,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0)] : (pp(aa(set(X0),bool,finite_finite(X0),image(nat,X0,X3,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X2)))))) )),
% 59.37/10.00    inference(equality_resolution,[],[f46416])).
% 59.37/10.00  tff(f46416,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : nat,X3 : fun(nat,X0),X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) | image(nat,X0,X3,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X2))) != X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32065])).
% 59.37/10.00  tff(f32065,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((pp(aa(set(X0),bool,finite_finite(X0),X1)) | ! [X2 : nat,X3 : fun(nat,X0)] : image(nat,X0,X3,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X2))) != X1) & (image(nat,X0,sK1953(X0,X1),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),sK1952(X0,X1)))) = X1 | ~pp(aa(set(X0),bool,finite_finite(X0),X1))))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1952,sK1953])],[f32063,f32064])).
% 59.37/10.00  tff(f32064,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X4 : nat,X5 : fun(nat,X0)] : image(nat,X0,X5,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X4))) = X1 => image(nat,X0,sK1953(X0,X1),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),sK1952(X0,X1)))) = X1)),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32063,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((pp(aa(set(X0),bool,finite_finite(X0),X1)) | ! [X2 : nat,X3 : fun(nat,X0)] : image(nat,X0,X3,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X2))) != X1) & (? [X4 : nat,X5 : fun(nat,X0)] : image(nat,X0,X5,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X4))) = X1 | ~pp(aa(set(X0),bool,finite_finite(X0),X1))))),
% 59.37/10.00    inference(rectify,[],[f32062])).
% 59.37/10.00  tff(f32062,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((pp(aa(set(X0),bool,finite_finite(X0),X1)) | ! [X2 : nat,X3 : fun(nat,X0)] : image(nat,X0,X3,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X2))) != X1) & (? [X2 : nat,X3 : fun(nat,X0)] : image(nat,X0,X3,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X2))) = X1 | ~pp(aa(set(X0),bool,finite_finite(X0),X1))))),
% 59.37/10.00    inference(nnf_transformation,[],[f16480])).
% 59.37/10.00  tff(f16480,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) <=> ? [X2 : nat,X3 : fun(nat,X0)] : image(nat,X0,X3,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X2))) = X1)),
% 59.37/10.00    inference(rectify,[],[f4919])).
% 59.37/10.00  tff(f4919,axiom,(
% 59.37/10.00    ! [X0 : $tType,X30 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X30)) <=> ? [X62 : nat,X237 : fun(nat,X0)] : image(nat,X0,X237,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X62))) = X30)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4918_finite__conv__nat__seg__image)).
% 59.37/10.00  tff(f80387,plain,(
% 59.37/10.00    spl2737_2743),
% 59.37/10.00    inference(avatar_split_clause,[],[f58247,f80385])).
% 59.37/10.00  tff(f80385,plain,(
% 59.37/10.00    spl2737_2743 <=> ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | nil(list(X0)) = n_lists(X0,X1,nil(X0)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2743])])).
% 59.37/10.00  tff(f58247,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | nil(list(X0)) = n_lists(X0,X1,nil(X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f44088,f35397])).
% 59.37/10.00  tff(f44088,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (nil(list(X0)) = n_lists(X0,X1,nil(X0)) | zero_zero(nat) = X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23758])).
% 59.37/10.00  tff(f23758,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : nat] : ((nil(list(X0)) = n_lists(X0,X1,nil(X0)) | zero_zero(nat) = X1) & (cons(list(X0),nil(X0),nil(list(X0))) = n_lists(X0,X1,nil(X0)) | zero_zero(nat) != X1))),
% 59.37/10.00    inference(ennf_transformation,[],[f15247])).
% 59.37/10.00  tff(f15247,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : nat] : ((zero_zero(nat) != X1 => nil(list(X0)) = n_lists(X0,X1,nil(X0))) & (zero_zero(nat) = X1 => cons(list(X0),nil(X0),nil(list(X0))) = n_lists(X0,X1,nil(X0))))),
% 59.37/10.00    inference(rectify,[],[f5431])).
% 59.37/10.00  tff(f5431,axiom,(
% 59.37/10.00    ! [X0 : $tType,X8 : nat] : ((zero_zero(nat) != X8 => nil(list(X0)) = n_lists(X0,X8,nil(X0))) & (zero_zero(nat) = X8 => n_lists(X0,X8,nil(X0)) = cons(list(X0),nil(X0),nil(list(X0)))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5430_n__lists__Nil)).
% 59.37/10.00  tff(f80383,plain,(
% 59.37/10.00    spl2737_2742),
% 59.37/10.00    inference(avatar_split_clause,[],[f58235,f80381])).
% 59.37/10.00  tff(f80381,plain,(
% 59.37/10.00    spl2737_2742 <=> ! [X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),size_num(one2)),X1) = X1),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2742])])).
% 59.37/10.00  tff(f58235,plain,(
% 59.37/10.00    ( ! [X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),size_num(one2)),X1) = X1) )),
% 59.37/10.00    inference(forward_demodulation,[],[f53138,f35397])).
% 59.37/10.00  tff(f53138,plain,(
% 59.37/10.00    ( ! [X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),zero_zero(nat)),X1) = X1) )),
% 59.37/10.00    inference(equality_resolution,[],[f44078])).
% 59.37/10.00  tff(f44078,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = X1 | zero_zero(nat) != X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23754])).
% 59.37/10.00  tff(f23754,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((((aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),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),bit0(one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | zero_zero(nat) = X1) & (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = X0 | zero_zero(nat) != X1)) | zero_zero(nat) = X0) & (aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = X1 | zero_zero(nat) != X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f15243])).
% 59.37/10.00  tff(f15243,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((zero_zero(nat) != X0 => ((zero_zero(nat) != X1 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),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),bit0(one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))))) & (zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = X0))) & (zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X0),X1) = X1))),
% 59.37/10.00    inference(rectify,[],[f4471])).
% 59.37/10.00  tff(f4471,axiom,(
% 59.37/10.00    ! [X9 : nat,X8 : nat] : ((zero_zero(nat) != X9 => ((zero_zero(nat) != X8 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X9),X8) = 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,X9,aa(num,nat,numeral_numeral(nat),bit0(one2)))),modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X8,aa(num,nat,numeral_numeral(nat),bit0(one2))))))) & (zero_zero(nat) = X8 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X9),X8) = X9))) & (zero_zero(nat) = X9 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se1065995026697491101ons_or(nat),X9),X8) = X8))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4470_or__nat__unfold)).
% 59.37/10.00  tff(f80379,plain,(
% 59.37/10.00    spl2737_2741),
% 59.37/10.00    inference(avatar_split_clause,[],[f58226,f80377])).
% 59.37/10.00  tff(f80377,plain,(
% 59.37/10.00    spl2737_2741 <=> ! [X1 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),size_num(one2)),X1) = X1),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2741])])).
% 59.37/10.00  tff(f58226,plain,(
% 59.37/10.00    ( ! [X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),size_num(one2)),X1) = X1) )),
% 59.37/10.00    inference(forward_demodulation,[],[f53136,f35397])).
% 59.37/10.00  tff(f53136,plain,(
% 59.37/10.00    ( ! [X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),zero_zero(nat)),X1) = X1) )),
% 59.37/10.00    inference(equality_resolution,[],[f44075])).
% 59.37/10.00  tff(f44075,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = X1 | zero_zero(nat) != X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23753])).
% 59.37/10.00  tff(f23753,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((((aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),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),bit0(one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))),aa(num,nat,numeral_numeral(nat),bit0(one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))))) | zero_zero(nat) = X1) & (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = X0 | zero_zero(nat) != X1)) | zero_zero(nat) = X0) & (aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = X1 | zero_zero(nat) != X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f15242])).
% 59.37/10.00  tff(f15242,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((zero_zero(nat) != X0 => ((zero_zero(nat) != X1 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),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),bit0(one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))),aa(num,nat,numeral_numeral(nat),bit0(one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))))) & (zero_zero(nat) = X1 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = X0))) & (zero_zero(nat) = X0 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X0),X1) = X1))),
% 59.37/10.00    inference(rectify,[],[f3493])).
% 59.37/10.00  tff(f3493,axiom,(
% 59.37/10.00    ! [X9 : nat,X8 : nat] : ((zero_zero(nat) != X9 => ((zero_zero(nat) != X8 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X9),X8) = 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,X9,aa(num,nat,numeral_numeral(nat),bit0(one2)))),modulo_modulo(nat,X8,aa(num,nat,numeral_numeral(nat),bit0(one2)))),aa(num,nat,numeral_numeral(nat),bit0(one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),divide_divide(nat,X9,aa(num,nat,numeral_numeral(nat),bit0(one2)))),divide_divide(nat,X8,aa(num,nat,numeral_numeral(nat),bit0(one2))))))) & (zero_zero(nat) = X8 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X9),X8) = X9))) & (zero_zero(nat) = X9 => aa(nat,nat,aa(nat,fun(nat,nat),bit_se5824344971392196577ns_xor(nat),X9),X8) = X8))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3492_xor__nat__unfold)).
% 59.37/10.00  tff(f80368,plain,(
% 59.37/10.00    spl2737_2740 | ~spl2737_2739),
% 59.37/10.00    inference(avatar_split_clause,[],[f80363,f80359,f80365])).
% 59.37/10.00  tff(f80359,plain,(
% 59.37/10.00    spl2737_2739 <=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),one_one(nat)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2739])])).
% 59.37/10.00  tff(f80363,plain,(
% 59.37/10.00    pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),one_one(nat)),size_num(one2))) | ~spl2737_2739),
% 59.37/10.00    inference(forward_demodulation,[],[f80361,f50171])).
% 59.37/10.00  tff(f80361,plain,(
% 59.37/10.00    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),one_one(nat))) | ~spl2737_2739),
% 59.37/10.00    inference(avatar_component_clause,[],[f80359])).
% 59.37/10.00  tff(f80362,plain,(
% 59.37/10.00    spl2737_2739),
% 59.37/10.00    inference(avatar_split_clause,[],[f57316,f80359])).
% 59.37/10.00  tff(f57316,plain,(
% 59.37/10.00    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),size_num(one2)),one_one(nat)))),
% 59.37/10.00    inference(forward_demodulation,[],[f53115,f35397])).
% 59.37/10.00  tff(f53115,plain,(
% 59.37/10.00    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),one_one(nat)))),
% 59.37/10.00    inference(equality_resolution,[],[f43416])).
% 59.37/10.00  tff(f43416,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),one_one(nat))) | zero_zero(nat) != X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30676])).
% 59.37/10.00  tff(f80357,plain,(
% 59.37/10.00    spl2737_2738),
% 59.37/10.00    inference(avatar_split_clause,[],[f57138,f80355])).
% 59.37/10.00  tff(f80355,plain,(
% 59.37/10.00    spl2737_2738 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),size_num(one2)) | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2738])])).
% 59.37/10.00  tff(f57138,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),size_num(one2)) | ~semidom_divide(X0) | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f43155,f35397])).
% 59.37/10.00  tff(f43155,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)) | ~semidom_divide(X0) | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23583])).
% 59.37/10.00  tff(f23583,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)) | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 59.37/10.00    inference(flattening,[],[f23582])).
% 59.37/10.00  tff(f23582,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)) | (~semidom_divide(X0) | ~semiring_char_0(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f14526])).
% 59.37/10.00  tff(f14526,plain,(
% 59.37/10.00    ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X1 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X1),zero_zero(nat)))),
% 59.37/10.00    inference(rectify,[],[f1439])).
% 59.37/10.00  tff(f1439,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X7 : X0] : one_one(X0) = aa(nat,X0,gbinomial(X0,X7),zero_zero(nat)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1438_gbinomial__0_I1_J)).
% 59.37/10.00  tff(f80353,plain,(
% 59.37/10.00    spl2737_2737),
% 59.37/10.00    inference(avatar_split_clause,[],[f56202,f80351])).
% 59.37/10.00  tff(f80351,plain,(
% 59.37/10.00    spl2737_2737 <=> ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2737])])).
% 59.37/10.00  tff(f56202,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f41467,f35397])).
% 59.37/10.00  tff(f41467,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29727])).
% 59.37/10.00  tff(f29727,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : ((zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1))) | ~semiring_char_0(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f21930])).
% 59.37/10.00  tff(f21930,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> zero_zero(nat) = X1) | ~semiring_char_0(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13398])).
% 59.37/10.00  tff(f13398,plain,(
% 59.37/10.00    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> zero_zero(nat) = X1))),
% 59.37/10.00    inference(rectify,[],[f137])).
% 59.37/10.00  tff(f137,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X9 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X9) <=> zero_zero(nat) = X9))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_of__nat__eq__0__iff)).
% 59.37/10.00  tff(f80349,plain,(
% 59.37/10.00    spl2737_2736),
% 59.37/10.00    inference(avatar_split_clause,[],[f55554,f80347])).
% 59.37/10.00  tff(f80347,plain,(
% 59.37/10.00    spl2737_2736 <=> ! [X0 : $tType,X1 : num] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,nat_of_num,X1))) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2736])])).
% 59.37/10.00  tff(f55554,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : num] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,nat_of_num,X1))) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f39559,f35414])).
% 59.37/10.00  tff(f39559,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : num] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1))) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20477])).
% 59.37/10.00  tff(f20477,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : num] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1))) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12232])).
% 59.37/10.00  tff(f12232,plain,(
% 59.37/10.00    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : num] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X1))))),
% 59.37/10.00    inference(rectify,[],[f3397])).
% 59.37/10.00  tff(f3397,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : num] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(num,nat,numeral_numeral(nat),X8))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3396_bit__numeral__simps_I1_J)).
% 59.37/10.00  tff(f80345,plain,(
% 59.37/10.00    spl2737_2735 | ~spl2737_809 | ~spl2737_962),
% 59.37/10.00    inference(avatar_split_clause,[],[f69314,f68905,f68264,f80342])).
% 59.37/10.00  tff(f80342,plain,(
% 59.37/10.00    spl2737_2735 <=> sP228(code_natural)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2735])])).
% 59.37/10.00  tff(f69314,plain,(
% 59.37/10.00    sP228(code_natural) | (~spl2737_809 | ~spl2737_962)),
% 59.37/10.00    inference(resolution,[],[f68906,f68266])).
% 59.37/10.00  tff(f80340,plain,(
% 59.37/10.00    spl2737_2734),
% 59.37/10.00    inference(avatar_split_clause,[],[f55467,f80338])).
% 59.37/10.00  tff(f80338,plain,(
% 59.37/10.00    spl2737_2734 <=> ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2734])])).
% 59.37/10.00  tff(f55467,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f39483,f35397])).
% 59.37/10.00  tff(f39483,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | ~bit_semiring_bits(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29071])).
% 59.37/10.00  tff(f29071,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)))) | ~bit_semiring_bits(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20444])).
% 59.37/10.00  tff(f20444,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) <=> zero_zero(nat) = X1) | ~bit_semiring_bits(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12202])).
% 59.37/10.00  tff(f12202,plain,(
% 59.37/10.00    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) <=> zero_zero(nat) = X1))),
% 59.37/10.00    inference(rectify,[],[f3396])).
% 59.37/10.00  tff(f3396,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X8 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X8)) <=> zero_zero(nat) = X8))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3395_bit__1__iff)).
% 59.37/10.00  tff(f80336,plain,(
% 59.37/10.00    spl2737_2733),
% 59.37/10.00    inference(avatar_split_clause,[],[f55355,f80334])).
% 59.37/10.00  tff(f80334,plain,(
% 59.37/10.00    spl2737_2733 <=> ! [X0 : $tType,X1 : X0] : (size_num(one2) != aa(X0,nat,euclid6346220572633701492n_size(X0),X1) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2733])])).
% 59.37/10.00  tff(f55355,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (size_num(one2) != aa(X0,nat,euclid6346220572633701492n_size(X0),X1) | zero_zero(X0) = X1 | ~euclid3725896446679973847miring(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f39168,f35397])).
% 59.37/10.00  tff(f39168,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(nat) != aa(X0,nat,euclid6346220572633701492n_size(X0),X1) | ~euclid3725896446679973847miring(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28980])).
% 59.37/10.00  tff(f28980,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(nat) != aa(X0,nat,euclid6346220572633701492n_size(X0),X1))) | ~euclid3725896446679973847miring(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20250])).
% 59.37/10.00  tff(f20250,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),X1) <=> zero_zero(X0) = X1) | ~euclid3725896446679973847miring(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12033])).
% 59.37/10.00  tff(f12033,plain,(
% 59.37/10.00    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X1 : X0] : (zero_zero(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f7014])).
% 59.37/10.00  tff(f7014,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X49 : X0] : (zero_zero(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),X49) <=> zero_zero(X0) = X49))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7013_euclidean__size__eq__0__iff)).
% 59.37/10.00  tff(f80332,plain,(
% 59.37/10.00    spl2737_2732),
% 59.37/10.00    inference(avatar_split_clause,[],[f54994,f80330])).
% 59.37/10.00  tff(f80330,plain,(
% 59.37/10.00    spl2737_2732 <=> ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | zero_zero(X0) != gcd_Lcm(X0,X1) | ~semiring_Gcd(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2732])])).
% 59.37/10.00  tff(f54994,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | zero_zero(X0) != gcd_Lcm(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/10.00    inference(inner_rewriting,[],[f36840])).
% 59.37/10.00  tff(f36840,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Lcm(X0,X1)) | zero_zero(X0) != gcd_Lcm(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18731])).
% 59.37/10.00  tff(f80328,plain,(
% 59.37/10.00    spl2737_2731),
% 59.37/10.00    inference(avatar_split_clause,[],[f54993,f80326])).
% 59.37/10.00  tff(f80326,plain,(
% 59.37/10.00    spl2737_2731 <=> ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | zero_zero(X0) != gcd_Gcd(X0,X1) | ~semiring_Gcd(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2731])])).
% 59.37/10.00  tff(f54993,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | zero_zero(X0) != gcd_Gcd(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/10.00    inference(inner_rewriting,[],[f36838])).
% 59.37/10.00  tff(f36838,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,gcd_Gcd(X0,X1)) | zero_zero(X0) != gcd_Gcd(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18730])).
% 59.37/10.00  tff(f80324,plain,(
% 59.37/10.00    spl2737_2730),
% 59.37/10.00    inference(avatar_split_clause,[],[f54363,f80322])).
% 59.37/10.00  tff(f80322,plain,(
% 59.37/10.00    spl2737_2730 <=> ! [X0 : nat] : aa(nat,code_integer,code_integer_of_nat,X0) = aa(code_natural,code_integer,code_i5400310926305786745atural,aa(nat,code_natural,code_natural_of_nat,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2730])])).
% 59.37/10.00  tff(f54363,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,code_integer,code_integer_of_nat,X0) = aa(code_natural,code_integer,code_i5400310926305786745atural,aa(nat,code_natural,code_natural_of_nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54362,f54303])).
% 59.37/10.00  tff(f54303,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,code_integer,code_integer_of_nat,X0) = aa(int,code_integer,code_integer_of_int,aa(nat,int,code_T6385005292777649522of_nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35976,f35405])).
% 59.37/10.00  tff(f35976,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,code_integer,code_integer_of_nat,X0) = aa(int,code_integer,code_integer_of_int,aa(nat,int,semiring_1_of_nat(int),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10137])).
% 59.37/10.00  tff(f10137,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,code_integer,code_integer_of_nat,X0) = aa(int,code_integer,code_integer_of_int,aa(nat,int,semiring_1_of_nat(int),X0))),
% 59.37/10.00    inference(rectify,[],[f7166])).
% 59.37/10.00  tff(f7166,axiom,(
% 59.37/10.00    ! [X14 : nat] : aa(nat,code_integer,code_integer_of_nat,X14) = aa(int,code_integer,code_integer_of_int,aa(nat,int,semiring_1_of_nat(int),X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7165_integer__of__nat_Oabs__eq)).
% 59.37/10.00  tff(f54362,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(code_natural,code_integer,code_i5400310926305786745atural,aa(nat,code_natural,code_natural_of_nat,X0)) = aa(int,code_integer,code_integer_of_int,aa(nat,int,code_T6385005292777649522of_nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36065,f35405])).
% 59.37/10.00  tff(f36065,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(int,code_integer,code_integer_of_int,aa(nat,int,semiring_1_of_nat(int),X0)) = aa(code_natural,code_integer,code_i5400310926305786745atural,aa(nat,code_natural,code_natural_of_nat,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10225])).
% 59.37/10.00  tff(f10225,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(int,code_integer,code_integer_of_int,aa(nat,int,semiring_1_of_nat(int),X0)) = aa(code_natural,code_integer,code_i5400310926305786745atural,aa(nat,code_natural,code_natural_of_nat,X0))),
% 59.37/10.00    inference(rectify,[],[f7943])).
% 59.37/10.00  tff(f7943,axiom,(
% 59.37/10.00    ! [X14 : nat] : aa(int,code_integer,code_integer_of_int,aa(nat,int,semiring_1_of_nat(int),X14)) = aa(code_natural,code_integer,code_i5400310926305786745atural,aa(nat,code_natural,code_natural_of_nat,X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7942_integer__of__natural_Oabs__eq)).
% 59.37/10.00  tff(f80320,plain,(
% 59.37/10.00    spl2737_2729),
% 59.37/10.00    inference(avatar_split_clause,[],[f54350,f80318])).
% 59.37/10.00  tff(f80318,plain,(
% 59.37/10.00    spl2737_2729 <=> ! [X0 : code_integer] : aa(code_integer,nat,code_Target_Nat,X0) = aa(code_natural,nat,code_nat_of_natural,aa(code_integer,code_natural,code_Nat,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2729])])).
% 59.37/10.00  tff(f54350,plain,(
% 59.37/10.00    ( ! [X0 : code_integer] : (aa(code_integer,nat,code_Target_Nat,X0) = aa(code_natural,nat,code_nat_of_natural,aa(code_integer,code_natural,code_Nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54349,f54282])).
% 59.37/10.00  tff(f54282,plain,(
% 59.37/10.00    ( ! [X0 : code_integer] : (aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0)) = aa(code_integer,nat,code_Target_Nat,X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35922,f54113])).
% 59.37/10.00  tff(f54113,plain,(
% 59.37/10.00    code_nat_of_integer = code_Target_Nat),
% 59.37/10.00    inference(forward_demodulation,[],[f35571,f35569])).
% 59.37/10.00  tff(f35569,plain,(
% 59.37/10.00    code_Target_Nat = aa(fun(int,nat),fun(code_integer,nat),map_fun(code_integer,int,nat,nat,code_int_of_integer,id(nat)),nat2)),
% 59.37/10.00    inference(cnf_transformation,[],[f6921])).
% 59.37/10.00  tff(f6921,axiom,(
% 59.37/10.00    code_Target_Nat = aa(fun(int,nat),fun(code_integer,nat),map_fun(code_integer,int,nat,nat,code_int_of_integer,id(nat)),nat2)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6920_Code__Target__Nat_ONat__def)).
% 59.37/10.00  tff(f35571,plain,(
% 59.37/10.00    code_nat_of_integer = aa(fun(int,nat),fun(code_integer,nat),map_fun(code_integer,int,nat,nat,code_int_of_integer,id(nat)),nat2)),
% 59.37/10.00    inference(cnf_transformation,[],[f6923])).
% 59.37/10.00  tff(f6923,axiom,(
% 59.37/10.00    code_nat_of_integer = aa(fun(int,nat),fun(code_integer,nat),map_fun(code_integer,int,nat,nat,code_int_of_integer,id(nat)),nat2)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6922_nat__of__integer__def)).
% 59.37/10.00  tff(f35922,plain,(
% 59.37/10.00    ( ! [X0 : code_integer] : (aa(code_integer,nat,code_nat_of_integer,X0) = aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10085])).
% 59.37/10.00  tff(f10085,plain,(
% 59.37/10.00    ! [X0 : code_integer] : aa(code_integer,nat,code_nat_of_integer,X0) = aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0))),
% 59.37/10.00    inference(rectify,[],[f4697])).
% 59.37/10.00  tff(f4697,axiom,(
% 59.37/10.00    ! [X14 : code_integer] : aa(code_integer,nat,code_nat_of_integer,X14) = aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4696_nat__of__integer_Orep__eq)).
% 59.37/10.00  tff(f54349,plain,(
% 59.37/10.00    ( ! [X0 : code_integer] : (aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0)) = aa(code_natural,nat,code_nat_of_natural,aa(code_integer,code_natural,code_Nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36045,f54108])).
% 59.37/10.00  tff(f54108,plain,(
% 59.37/10.00    code_Nat = code_n4118661773612635043nteger),
% 59.37/10.00    inference(forward_demodulation,[],[f35564,f35563])).
% 59.37/10.00  tff(f35563,plain,(
% 59.37/10.00    code_Nat = aa(fun(int,nat),fun(code_integer,code_natural),map_fun(code_integer,int,nat,code_natural,code_int_of_integer,code_natural_of_nat),nat2)),
% 59.37/10.00    inference(cnf_transformation,[],[f7946])).
% 59.37/10.00  tff(f7946,axiom,(
% 59.37/10.00    code_Nat = aa(fun(int,nat),fun(code_integer,code_natural),map_fun(code_integer,int,nat,code_natural,code_int_of_integer,code_natural_of_nat),nat2)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7945_Code__Numeral_ONat__def)).
% 59.37/10.00  tff(f35564,plain,(
% 59.37/10.00    code_n4118661773612635043nteger = aa(fun(int,nat),fun(code_integer,code_natural),map_fun(code_integer,int,nat,code_natural,code_int_of_integer,code_natural_of_nat),nat2)),
% 59.37/10.00    inference(cnf_transformation,[],[f7947])).
% 59.37/10.00  tff(f7947,axiom,(
% 59.37/10.00    code_n4118661773612635043nteger = aa(fun(int,nat),fun(code_integer,code_natural),map_fun(code_integer,int,nat,code_natural,code_int_of_integer,code_natural_of_nat),nat2)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7946_natural__of__integer__def)).
% 59.37/10.00  tff(f36045,plain,(
% 59.37/10.00    ( ! [X0 : code_integer] : (aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0)) = aa(code_natural,nat,code_nat_of_natural,aa(code_integer,code_natural,code_n4118661773612635043nteger,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10206])).
% 59.37/10.00  tff(f10206,plain,(
% 59.37/10.00    ! [X0 : code_integer] : aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0)) = aa(code_natural,nat,code_nat_of_natural,aa(code_integer,code_natural,code_n4118661773612635043nteger,X0))),
% 59.37/10.00    inference(rectify,[],[f7930])).
% 59.37/10.00  tff(f7930,axiom,(
% 59.37/10.00    ! [X14 : code_integer] : aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X14)) = aa(code_natural,nat,code_nat_of_natural,aa(code_integer,code_natural,code_n4118661773612635043nteger,X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7929_natural__of__integer_Orep__eq)).
% 59.37/10.00  tff(f80316,plain,(
% 59.37/10.00    spl2737_2728),
% 59.37/10.00    inference(avatar_split_clause,[],[f54343,f80314])).
% 59.37/10.00  tff(f80314,plain,(
% 59.37/10.00    spl2737_2728 <=> ! [X0 : code_integer] : aa(code_integer,num,code_num_of_integer,X0) = aa(nat,num,num_of_nat,aa(code_integer,nat,code_Target_Nat,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2728])])).
% 59.37/10.00  tff(f54343,plain,(
% 59.37/10.00    ( ! [X0 : code_integer] : (aa(code_integer,num,code_num_of_integer,X0) = aa(nat,num,num_of_nat,aa(code_integer,nat,code_Target_Nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36031,f54282])).
% 59.37/10.00  tff(f36031,plain,(
% 59.37/10.00    ( ! [X0 : code_integer] : (aa(code_integer,num,code_num_of_integer,X0) = aa(nat,num,num_of_nat,aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10192])).
% 59.37/10.00  tff(f10192,plain,(
% 59.37/10.00    ! [X0 : code_integer] : aa(code_integer,num,code_num_of_integer,X0) = aa(nat,num,num_of_nat,aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0)))),
% 59.37/10.00    inference(rectify,[],[f4786])).
% 59.37/10.00  tff(f4786,axiom,(
% 59.37/10.00    ! [X14 : code_integer] : aa(code_integer,num,code_num_of_integer,X14) = aa(nat,num,num_of_nat,aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X14)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4785_num__of__integer_Orep__eq)).
% 59.37/10.00  tff(f80312,plain,(
% 59.37/10.00    spl2737_2727),
% 59.37/10.00    inference(avatar_split_clause,[],[f54336,f80310])).
% 59.37/10.00  tff(f80310,plain,(
% 59.37/10.00    spl2737_2727 <=> ! [X0 : num] : aa(num,int,pos,X0) = aa(nat,int,code_T6385005292777649522of_nat,aa(num,nat,nat_of_num,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2727])])).
% 59.37/10.00  tff(f54336,plain,(
% 59.37/10.00    ( ! [X0 : num] : (aa(num,int,pos,X0) = aa(nat,int,code_T6385005292777649522of_nat,aa(num,nat,nat_of_num,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54335,f35413])).
% 59.37/10.00  tff(f54335,plain,(
% 59.37/10.00    ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = aa(nat,int,code_T6385005292777649522of_nat,aa(num,nat,nat_of_num,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54334,f35405])).
% 59.37/10.00  tff(f54334,plain,(
% 59.37/10.00    ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = aa(nat,int,semiring_1_of_nat(int),aa(num,nat,nat_of_num,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36021,f35414])).
% 59.37/10.00  tff(f36021,plain,(
% 59.37/10.00    ( ! [X0 : num] : (aa(num,int,numeral_numeral(int),X0) = aa(nat,int,semiring_1_of_nat(int),aa(num,nat,numeral_numeral(nat),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10181])).
% 59.37/10.00  tff(f10181,plain,(
% 59.37/10.00    ! [X0 : num] : aa(num,int,numeral_numeral(int),X0) = aa(nat,int,semiring_1_of_nat(int),aa(num,nat,numeral_numeral(nat),X0))),
% 59.37/10.00    inference(rectify,[],[f2167])).
% 59.37/10.00  tff(f2167,axiom,(
% 59.37/10.00    ! [X8 : num] : aa(num,int,numeral_numeral(int),X8) = aa(nat,int,semiring_1_of_nat(int),aa(num,nat,numeral_numeral(nat),X8))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2166_int__ops_I3_J)).
% 59.37/10.00  tff(f80308,plain,(
% 59.37/10.00    spl2737_2726),
% 59.37/10.00    inference(avatar_split_clause,[],[f54321,f80306])).
% 59.37/10.00  tff(f80306,plain,(
% 59.37/10.00    spl2737_2726 <=> ! [X0 : set(nat)] : gcd_Lcm(int,image(nat,int,code_T6385005292777649522of_nat,X0)) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Lcm(nat,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2726])])).
% 59.37/10.00  tff(f54321,plain,(
% 59.37/10.00    ( ! [X0 : set(nat)] : (gcd_Lcm(int,image(nat,int,code_T6385005292777649522of_nat,X0)) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Lcm(nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36004,f35405])).
% 59.37/10.00  tff(f36004,plain,(
% 59.37/10.00    ( ! [X0 : set(nat)] : (gcd_Lcm(int,image(nat,int,semiring_1_of_nat(int),X0)) = aa(nat,int,semiring_1_of_nat(int),gcd_Lcm(nat,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10164])).
% 59.37/10.00  tff(f10164,plain,(
% 59.37/10.00    ! [X0 : set(nat)] : gcd_Lcm(int,image(nat,int,semiring_1_of_nat(int),X0)) = aa(nat,int,semiring_1_of_nat(int),gcd_Lcm(nat,X0))),
% 59.37/10.00    inference(rectify,[],[f7488])).
% 59.37/10.00  tff(f7488,axiom,(
% 59.37/10.00    ! [X143 : set(nat)] : gcd_Lcm(int,image(nat,int,semiring_1_of_nat(int),X143)) = aa(nat,int,semiring_1_of_nat(int),gcd_Lcm(nat,X143))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7487_Lcm__int__eq)).
% 59.37/10.00  tff(f80304,plain,(
% 59.37/10.00    spl2737_2725),
% 59.37/10.00    inference(avatar_split_clause,[],[f54320,f80302])).
% 59.37/10.00  tff(f80302,plain,(
% 59.37/10.00    spl2737_2725 <=> ! [X0 : set(nat)] : gcd_Gcd(int,image(nat,int,code_T6385005292777649522of_nat,X0)) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Gcd(nat,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2725])])).
% 59.37/10.00  tff(f54320,plain,(
% 59.37/10.00    ( ! [X0 : set(nat)] : (gcd_Gcd(int,image(nat,int,code_T6385005292777649522of_nat,X0)) = aa(nat,int,code_T6385005292777649522of_nat,gcd_Gcd(nat,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36003,f35405])).
% 59.37/10.00  tff(f36003,plain,(
% 59.37/10.00    ( ! [X0 : set(nat)] : (gcd_Gcd(int,image(nat,int,semiring_1_of_nat(int),X0)) = aa(nat,int,semiring_1_of_nat(int),gcd_Gcd(nat,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10163])).
% 59.37/10.00  tff(f10163,plain,(
% 59.37/10.00    ! [X0 : set(nat)] : gcd_Gcd(int,image(nat,int,semiring_1_of_nat(int),X0)) = aa(nat,int,semiring_1_of_nat(int),gcd_Gcd(nat,X0))),
% 59.37/10.00    inference(rectify,[],[f4969])).
% 59.37/10.00  tff(f4969,axiom,(
% 59.37/10.00    ! [X143 : set(nat)] : gcd_Gcd(int,image(nat,int,semiring_1_of_nat(int),X143)) = aa(nat,int,semiring_1_of_nat(int),gcd_Gcd(nat,X143))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4968_Gcd__int__eq)).
% 59.37/10.00  tff(f80300,plain,(
% 59.37/10.00    spl2737_2724 | ~spl2737_814 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69313,f68901,f68289,f80297])).
% 59.37/10.00  tff(f80297,plain,(
% 59.37/10.00    spl2737_2724 <=> sP224(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2724])])).
% 59.37/10.00  tff(f68901,plain,(
% 59.37/10.00    spl2737_961 <=> ! [X0 : $tType] : (sP224(X0) | ~ord(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_961])])).
% 59.37/10.00  tff(f69313,plain,(
% 59.37/10.00    sP224(int) | (~spl2737_814 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68291])).
% 59.37/10.00  tff(f68902,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~ord(X0) | sP224(X0)) ) | ~spl2737_961),
% 59.37/10.00    inference(avatar_component_clause,[],[f68901])).
% 59.37/10.00  tff(f80295,plain,(
% 59.37/10.00    spl2737_2723),
% 59.37/10.00    inference(avatar_split_clause,[],[f54312,f80293])).
% 59.37/10.00  tff(f80293,plain,(
% 59.37/10.00    spl2737_2723 <=> ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),zero_zero(extended_enat)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2723])])).
% 59.37/10.00  tff(f54312,plain,(
% 59.37/10.00    ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),zero_zero(extended_enat)) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54311,f54020])).
% 59.37/10.00  tff(f54311,plain,(
% 59.37/10.00    ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),extended_enat2(size_num(one2))) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35987,f35397])).
% 59.37/10.00  tff(f35987,plain,(
% 59.37/10.00    ( ! [X0 : extended_enat] : (aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),extended_enat2(zero_zero(nat))) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10147])).
% 59.37/10.00  tff(f10147,plain,(
% 59.37/10.00    ! [X0 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X0),extended_enat2(zero_zero(nat))) = X0),
% 59.37/10.00    inference(rectify,[],[f7191])).
% 59.37/10.00  tff(f7191,axiom,(
% 59.37/10.00    ! [X8 : extended_enat] : aa(extended_enat,extended_enat,aa(extended_enat,fun(extended_enat,extended_enat),minus_minus(extended_enat),X8),extended_enat2(zero_zero(nat))) = X8),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7190_idiff__enat__0__right)).
% 59.37/10.00  tff(f80291,plain,(
% 59.37/10.00    spl2737_2722),
% 59.37/10.00    inference(avatar_split_clause,[],[f54307,f80289])).
% 59.37/10.00  tff(f80289,plain,(
% 59.37/10.00    spl2737_2722 <=> ! [X0 : nat] : aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,code_integer_of_nat,X0)) = aa(nat,int,code_T6385005292777649522of_nat,X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2722])])).
% 59.37/10.00  tff(f54307,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,code_integer_of_nat,X0)) = aa(nat,int,code_T6385005292777649522of_nat,X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35981,f35405])).
% 59.37/10.00  tff(f35981,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,int,semiring_1_of_nat(int),X0) = aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,code_integer_of_nat,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10141])).
% 59.37/10.00  tff(f10141,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,int,semiring_1_of_nat(int),X0) = aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,code_integer_of_nat,X0))),
% 59.37/10.00    inference(rectify,[],[f7164])).
% 59.37/10.00  tff(f7164,axiom,(
% 59.37/10.00    ! [X14 : nat] : aa(nat,int,semiring_1_of_nat(int),X14) = aa(code_integer,int,code_int_of_integer,aa(nat,code_integer,code_integer_of_nat,X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7163_integer__of__nat_Orep__eq)).
% 59.37/10.00  tff(f80287,plain,(
% 59.37/10.00    spl2737_2721),
% 59.37/10.00    inference(avatar_split_clause,[],[f54303,f80285])).
% 59.37/10.00  tff(f80285,plain,(
% 59.37/10.00    spl2737_2721 <=> ! [X0 : nat] : aa(nat,code_integer,code_integer_of_nat,X0) = aa(int,code_integer,code_integer_of_int,aa(nat,int,code_T6385005292777649522of_nat,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2721])])).
% 59.37/10.00  tff(f80283,plain,(
% 59.37/10.00    spl2737_2720),
% 59.37/10.00    inference(avatar_split_clause,[],[f54296,f80281])).
% 59.37/10.00  tff(f80281,plain,(
% 59.37/10.00    spl2737_2720 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(one2)),X0) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2720])])).
% 59.37/10.00  tff(f54296,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),size_num(one2)),X0) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35951,f35397])).
% 59.37/10.00  tff(f35951,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),X0) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10114])).
% 59.37/10.00  tff(f10114,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),X0) = X0),
% 59.37/10.00    inference(rectify,[],[f204])).
% 59.37/10.00  tff(f204,axiom,(
% 59.37/10.00    ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),X8) = X8),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_plus__nat_Oadd__0)).
% 59.37/10.00  tff(f80279,plain,(
% 59.37/10.00    spl2737_2719),
% 59.37/10.00    inference(avatar_split_clause,[],[f54294,f80277])).
% 59.37/10.00  tff(f80277,plain,(
% 59.37/10.00    spl2737_2719 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),size_num(one2)),X0) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2719])])).
% 59.37/10.00  tff(f54294,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),size_num(one2)),X0) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35949,f35397])).
% 59.37/10.00  tff(f35949,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),zero_zero(nat)),X0) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10112])).
% 59.37/10.00  tff(f10112,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),zero_zero(nat)),X0) = X0),
% 59.37/10.00    inference(rectify,[],[f6650])).
% 59.37/10.00  tff(f6650,axiom,(
% 59.37/10.00    ! [X7 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),zero_zero(nat)),X7) = X7),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6649_gcd__nat_Oleft__neutral)).
% 59.37/10.00  tff(f80275,plain,(
% 59.37/10.00    spl2737_2718),
% 59.37/10.00    inference(avatar_split_clause,[],[f54292,f80273])).
% 59.37/10.00  tff(f80273,plain,(
% 59.37/10.00    spl2737_2718 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),size_num(one2)),X0) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2718])])).
% 59.37/10.00  tff(f54292,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),size_num(one2)),X0) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35947,f35397])).
% 59.37/10.00  tff(f35947,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),zero_zero(nat)),X0) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10110])).
% 59.37/10.00  tff(f10110,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),zero_zero(nat)),X0) = X0),
% 59.37/10.00    inference(rectify,[],[f4476])).
% 59.37/10.00  tff(f4476,axiom,(
% 59.37/10.00    ! [X7 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),zero_zero(nat)),X7) = X7),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4475_max__nat_Oleft__neutral)).
% 59.37/10.00  tff(f80271,plain,(
% 59.37/10.00    spl2737_2717),
% 59.37/10.00    inference(avatar_split_clause,[],[f54291,f80269])).
% 59.37/10.00  tff(f80269,plain,(
% 59.37/10.00    spl2737_2717 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),size_num(one2)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2717])])).
% 59.37/10.00  tff(f54291,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),size_num(one2)) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35945,f35397])).
% 59.37/10.00  tff(f35945,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),zero_zero(nat)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10108])).
% 59.37/10.00  tff(f10108,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),zero_zero(nat)) = X0),
% 59.37/10.00    inference(rectify,[],[f120])).
% 59.37/10.00  tff(f120,axiom,(
% 59.37/10.00    ! [X9 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X9),zero_zero(nat)) = X9),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_Nat_Oadd__0__right)).
% 59.37/10.00  tff(f80267,plain,(
% 59.37/10.00    spl2737_2716),
% 59.37/10.00    inference(avatar_split_clause,[],[f54290,f80265])).
% 59.37/10.00  tff(f80265,plain,(
% 59.37/10.00    spl2737_2716 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),size_num(one2)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2716])])).
% 59.37/10.00  tff(f54290,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),size_num(one2)) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35944,f35397])).
% 59.37/10.00  tff(f35944,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),zero_zero(nat)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10107])).
% 59.37/10.00  tff(f10107,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),zero_zero(nat)) = X0),
% 59.37/10.00    inference(rectify,[],[f197])).
% 59.37/10.00  tff(f197,axiom,(
% 59.37/10.00    ! [X9 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X9),zero_zero(nat)) = X9),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_minus__nat_Odiff__0)).
% 59.37/10.00  tff(f80263,plain,(
% 59.37/10.00    spl2737_2715),
% 59.37/10.00    inference(avatar_split_clause,[],[f54288,f80261])).
% 59.37/10.00  tff(f80261,plain,(
% 59.37/10.00    spl2737_2715 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),size_num(one2)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2715])])).
% 59.37/10.00  tff(f54288,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),size_num(one2)) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35942,f35397])).
% 59.37/10.00  tff(f35942,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),zero_zero(nat)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10105])).
% 59.37/10.00  tff(f10105,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),zero_zero(nat)) = X0),
% 59.37/10.00    inference(rectify,[],[f6652])).
% 59.37/10.00  tff(f6652,axiom,(
% 59.37/10.00    ! [X7 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X7),zero_zero(nat)) = X7),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6651_gcd__nat_Oright__neutral)).
% 59.37/10.00  tff(f80259,plain,(
% 59.37/10.00    spl2737_2714),
% 59.37/10.00    inference(avatar_split_clause,[],[f54286,f80257])).
% 59.37/10.00  tff(f80257,plain,(
% 59.37/10.00    spl2737_2714 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),size_num(one2)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2714])])).
% 59.37/10.00  tff(f54286,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),size_num(one2)) = X0) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35940,f35397])).
% 59.37/10.00  tff(f35940,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),zero_zero(nat)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10103])).
% 59.37/10.00  tff(f10103,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X0),zero_zero(nat)) = X0),
% 59.37/10.00    inference(rectify,[],[f4478])).
% 59.37/10.00  tff(f4478,axiom,(
% 59.37/10.00    ! [X7 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),ord_max(nat),X7),zero_zero(nat)) = X7),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4477_max__nat_Oright__neutral)).
% 59.37/10.00  tff(f80255,plain,(
% 59.37/10.00    spl2737_2713 | ~spl2737_816 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69312,f68901,f68299,f80252])).
% 59.37/10.00  tff(f80252,plain,(
% 59.37/10.00    spl2737_2713 <=> sP224(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2713])])).
% 59.37/10.00  tff(f69312,plain,(
% 59.37/10.00    sP224(nat) | (~spl2737_816 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68301])).
% 59.37/10.00  tff(f80250,plain,(
% 59.37/10.00    spl2737_2712),
% 59.37/10.00    inference(avatar_split_clause,[],[f54282,f80248])).
% 59.37/10.00  tff(f80248,plain,(
% 59.37/10.00    spl2737_2712 <=> ! [X0 : code_integer] : aa(int,nat,nat2,aa(code_integer,int,code_int_of_integer,X0)) = aa(code_integer,nat,code_Target_Nat,X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2712])])).
% 59.37/10.00  tff(f80246,plain,(
% 59.37/10.00    spl2737_2711),
% 59.37/10.00    inference(avatar_split_clause,[],[f54281,f80244])).
% 59.37/10.00  tff(f80244,plain,(
% 59.37/10.00    spl2737_2711 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2711])])).
% 59.37/10.00  tff(f54281,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35916,f35397])).
% 59.37/10.00  tff(f35916,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10080])).
% 59.37/10.00  tff(f10080,plain,(
% 59.37/10.00    ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X0),X0)),
% 59.37/10.00    inference(rectify,[],[f125])).
% 59.37/10.00  tff(f125,axiom,(
% 59.37/10.00    ! [X9 : nat] : zero_zero(nat) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X9),X9)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_diff__self__eq__0)).
% 59.37/10.00  tff(f80242,plain,(
% 59.37/10.00    spl2737_2710),
% 59.37/10.00    inference(avatar_split_clause,[],[f54280,f80240])).
% 59.37/10.00  tff(f80240,plain,(
% 59.37/10.00    spl2737_2710 <=> ! [X0 : real] : im(imaginary_unit) = real_V7770717601297561774m_norm(complex,complex2(aa(real,real,cos(real),X0),sin(real,X0)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2710])])).
% 59.37/10.00  tff(f54280,plain,(
% 59.37/10.00    ( ! [X0 : real] : (im(imaginary_unit) = real_V7770717601297561774m_norm(complex,complex2(aa(real,real,cos(real),X0),sin(real,X0)))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35911,f35393])).
% 59.37/10.00  tff(f35911,plain,(
% 59.37/10.00    ( ! [X0 : real] : (one_one(real) = real_V7770717601297561774m_norm(complex,complex2(aa(real,real,cos(real),X0),sin(real,X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10075])).
% 59.37/10.00  tff(f10075,plain,(
% 59.37/10.00    ! [X0 : real] : one_one(real) = real_V7770717601297561774m_norm(complex,complex2(aa(real,real,cos(real),X0),sin(real,X0)))),
% 59.37/10.00    inference(rectify,[],[f3081])).
% 59.37/10.00  tff(f3081,axiom,(
% 59.37/10.00    ! [X41 : real] : one_one(real) = real_V7770717601297561774m_norm(complex,complex2(aa(real,real,cos(real),X41),sin(real,X41)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3080_norm__cos__sin)).
% 59.37/10.00  tff(f80238,plain,(
% 59.37/10.00    spl2737_2709),
% 59.37/10.00    inference(avatar_split_clause,[],[f54094,f80235])).
% 59.37/10.00  tff(f80235,plain,(
% 59.37/10.00    spl2737_2709 <=> filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,cos(real),pi)),at_bot(real))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2709])])).
% 59.37/10.00  tff(f54094,plain,(
% 59.37/10.00    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,cos(real),pi)),at_bot(real))),
% 59.37/10.00    inference(forward_demodulation,[],[f54093,f54082])).
% 59.37/10.00  tff(f54093,plain,(
% 59.37/10.00    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),im(imaginary_unit))),at_bot(real))),
% 59.37/10.00    inference(forward_demodulation,[],[f35545,f35393])).
% 59.37/10.00  tff(f35545,plain,(
% 59.37/10.00    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real))),
% 59.37/10.00    inference(cnf_transformation,[],[f6114])).
% 59.37/10.00  tff(f6114,axiom,(
% 59.37/10.00    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,aa(real,real,uminus_uminus(real),one_one(real))),at_bot(real))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6113_tanh__real__at__bot)).
% 59.37/10.00  tff(f80233,plain,(
% 59.37/10.00    spl2737_2708),
% 59.37/10.00    inference(avatar_split_clause,[],[f54091,f80230])).
% 59.37/10.00  tff(f80230,plain,(
% 59.37/10.00    spl2737_2708 <=> filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,im(imaginary_unit),set_ord_lessThan(real,im(imaginary_unit))))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2708])])).
% 59.37/10.00  tff(f54091,plain,(
% 59.37/10.00    filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,im(imaginary_unit),set_ord_lessThan(real,im(imaginary_unit))))),
% 59.37/10.00    inference(forward_demodulation,[],[f35535,f35393])).
% 59.37/10.00  tff(f35535,plain,(
% 59.37/10.00    filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real))))),
% 59.37/10.00    inference(cnf_transformation,[],[f6037])).
% 59.37/10.00  tff(f6037,axiom,(
% 59.37/10.00    filterlim(real,real,artanh(real),at_top(real),topolo174197925503356063within(real,one_one(real),set_ord_lessThan(real,one_one(real))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6036_artanh__real__at__left__1)).
% 59.37/10.00  tff(f80228,plain,(
% 59.37/10.00    spl2737_2707 | ~spl2737_2706),
% 59.37/10.00    inference(avatar_split_clause,[],[f80224,f80221,f80226])).
% 59.37/10.00  tff(f80226,plain,(
% 59.37/10.00    spl2737_2707 <=> ! [X2 : int,X1 : int] : sP486(aa(int,int,combc(int,int,int,gcd_gcd(int),X2),X1),X2,X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2707])])).
% 59.37/10.00  tff(f80221,plain,(
% 59.37/10.00    spl2737_2706 <=> ! [X2 : int,X1 : int] : sP486(aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2),X2,X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2706])])).
% 59.37/10.00  tff(f80224,plain,(
% 59.37/10.00    ( ! [X2 : int,X1 : int] : (sP486(aa(int,int,combc(int,int,int,gcd_gcd(int),X2),X1),X2,X1)) ) | ~spl2737_2706),
% 59.37/10.00    inference(forward_demodulation,[],[f80222,f50171])).
% 59.37/10.00  tff(f80222,plain,(
% 59.37/10.00    ( ! [X2 : int,X1 : int] : (sP486(aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2),X2,X1)) ) | ~spl2737_2706),
% 59.37/10.00    inference(avatar_component_clause,[],[f80221])).
% 59.37/10.00  tff(f80223,plain,(
% 59.37/10.00    spl2737_2706),
% 59.37/10.00    inference(avatar_split_clause,[],[f53702,f80221])).
% 59.37/10.00  tff(f53702,plain,(
% 59.37/10.00    ( ! [X2 : int,X1 : int] : (sP486(aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2),X2,X1)) )),
% 59.37/10.00    inference(equality_resolution,[],[f48942])).
% 59.37/10.00  tff(f48942,plain,(
% 59.37/10.00    ( ! [X2 : int,X0 : int,X1 : int] : (sP486(X0,X2,X1) | aa(int,int,aa(int,fun(int,int),gcd_gcd(int),X1),X2) != X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33651])).
% 59.37/10.00  tff(f80219,plain,(
% 59.37/10.00    spl2737_2705 | ~spl2737_2703),
% 59.37/10.00    inference(avatar_split_clause,[],[f80210,f80207,f80217])).
% 59.37/10.00  tff(f80217,plain,(
% 59.37/10.00    spl2737_2705 <=> ! [X2 : int,X1 : int] : sP485(aa(int,int,combc(int,int,int,gcd_lcm(int),X2),X1),X2,X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2705])])).
% 59.37/10.00  tff(f80207,plain,(
% 59.37/10.00    spl2737_2703 <=> ! [X2 : int,X1 : int] : sP485(aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2),X2,X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2703])])).
% 59.37/10.00  tff(f80210,plain,(
% 59.37/10.00    ( ! [X2 : int,X1 : int] : (sP485(aa(int,int,combc(int,int,int,gcd_lcm(int),X2),X1),X2,X1)) ) | ~spl2737_2703),
% 59.37/10.00    inference(forward_demodulation,[],[f80208,f50171])).
% 59.37/10.00  tff(f80208,plain,(
% 59.37/10.00    ( ! [X2 : int,X1 : int] : (sP485(aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2),X2,X1)) ) | ~spl2737_2703),
% 59.37/10.00    inference(avatar_component_clause,[],[f80207])).
% 59.37/10.00  tff(f80215,plain,(
% 59.37/10.00    spl2737_2704 | ~spl2737_812 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69311,f68901,f68279,f80212])).
% 59.37/10.00  tff(f80212,plain,(
% 59.37/10.00    spl2737_2704 <=> sP224(num)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2704])])).
% 59.37/10.00  tff(f69311,plain,(
% 59.37/10.00    sP224(num) | (~spl2737_812 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68281])).
% 59.37/10.00  tff(f80209,plain,(
% 59.37/10.00    spl2737_2703),
% 59.37/10.00    inference(avatar_split_clause,[],[f53701,f80207])).
% 59.37/10.00  tff(f53701,plain,(
% 59.37/10.00    ( ! [X2 : int,X1 : int] : (sP485(aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2),X2,X1)) )),
% 59.37/10.00    inference(equality_resolution,[],[f48933])).
% 59.37/10.00  tff(f48933,plain,(
% 59.37/10.00    ( ! [X2 : int,X0 : int,X1 : int] : (sP485(X0,X2,X1) | aa(int,int,aa(int,fun(int,int),gcd_lcm(int),X1),X2) != X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33645])).
% 59.37/10.00  tff(f80205,plain,(
% 59.37/10.00    spl2737_2702 | ~spl2737_2701),
% 59.37/10.00    inference(avatar_split_clause,[],[f80201,f80198,f80203])).
% 59.37/10.00  tff(f80203,plain,(
% 59.37/10.00    spl2737_2702 <=> ! [X2 : nat,X1 : nat] : sP484(aa(nat,nat,combc(nat,nat,nat,gcd_gcd(nat),X2),X1),X2,X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2702])])).
% 59.37/10.00  tff(f80198,plain,(
% 59.37/10.00    spl2737_2701 <=> ! [X2 : nat,X1 : nat] : sP484(aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2),X2,X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2701])])).
% 59.37/10.00  tff(f80201,plain,(
% 59.37/10.00    ( ! [X2 : nat,X1 : nat] : (sP484(aa(nat,nat,combc(nat,nat,nat,gcd_gcd(nat),X2),X1),X2,X1)) ) | ~spl2737_2701),
% 59.37/10.00    inference(forward_demodulation,[],[f80199,f50171])).
% 59.37/10.00  tff(f80199,plain,(
% 59.37/10.00    ( ! [X2 : nat,X1 : nat] : (sP484(aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2),X2,X1)) ) | ~spl2737_2701),
% 59.37/10.00    inference(avatar_component_clause,[],[f80198])).
% 59.37/10.00  tff(f80200,plain,(
% 59.37/10.00    spl2737_2701),
% 59.37/10.00    inference(avatar_split_clause,[],[f53700,f80198])).
% 59.37/10.00  tff(f53700,plain,(
% 59.37/10.00    ( ! [X2 : nat,X1 : nat] : (sP484(aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2),X2,X1)) )),
% 59.37/10.00    inference(equality_resolution,[],[f48924])).
% 59.37/10.00  tff(f48924,plain,(
% 59.37/10.00    ( ! [X2 : nat,X0 : nat,X1 : nat] : (sP484(X0,X2,X1) | aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X1),X2) != X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33639])).
% 59.37/10.00  tff(f80196,plain,(
% 59.37/10.00    spl2737_2700 | ~spl2737_2699),
% 59.37/10.00    inference(avatar_split_clause,[],[f80192,f80189,f80194])).
% 59.37/10.00  tff(f80194,plain,(
% 59.37/10.00    spl2737_2700 <=> ! [X2 : nat,X0 : nat] : sP483(aa(nat,nat,combc(nat,nat,nat,gcd_lcm(nat),X2),X0),X2,X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2700])])).
% 59.37/10.00  tff(f80189,plain,(
% 59.37/10.00    spl2737_2699 <=> ! [X2 : nat,X0 : nat] : sP483(aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2),X2,X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2699])])).
% 59.37/10.00  tff(f80192,plain,(
% 59.37/10.00    ( ! [X2 : nat,X0 : nat] : (sP483(aa(nat,nat,combc(nat,nat,nat,gcd_lcm(nat),X2),X0),X2,X0)) ) | ~spl2737_2699),
% 59.37/10.00    inference(forward_demodulation,[],[f80190,f50171])).
% 59.37/10.00  tff(f80190,plain,(
% 59.37/10.00    ( ! [X2 : nat,X0 : nat] : (sP483(aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2),X2,X0)) ) | ~spl2737_2699),
% 59.37/10.00    inference(avatar_component_clause,[],[f80189])).
% 59.37/10.00  tff(f80191,plain,(
% 59.37/10.00    spl2737_2699),
% 59.37/10.00    inference(avatar_split_clause,[],[f53699,f80189])).
% 59.37/10.00  tff(f53699,plain,(
% 59.37/10.00    ( ! [X2 : nat,X0 : nat] : (sP483(aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2),X2,X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f48916])).
% 59.37/10.00  tff(f48916,plain,(
% 59.37/10.00    ( ! [X2 : nat,X0 : nat,X1 : nat] : (sP483(X1,X2,X0) | aa(nat,nat,aa(nat,fun(nat,nat),gcd_lcm(nat),X0),X2) != X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33633])).
% 59.37/10.00  tff(f80187,plain,(
% 59.37/10.00    spl2737_2698),
% 59.37/10.00    inference(avatar_split_clause,[],[f53598,f80185])).
% 59.37/10.00  tff(f80185,plain,(
% 59.37/10.00    spl2737_2698 <=> ! [X3 : int] : sP464(X3,zero_zero(int),aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2698])])).
% 59.37/10.00  tff(f53598,plain,(
% 59.37/10.00    ( ! [X3 : int] : (sP464(X3,zero_zero(int),aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X3))) )),
% 59.37/10.00    inference(equality_resolution,[],[f53597])).
% 59.37/10.00  tff(f53597,plain,(
% 59.37/10.00    ( ! [X3 : int,X0 : int] : (sP464(X0,zero_zero(int),aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X3)) | X0 != X3) )),
% 59.37/10.00    inference(equality_resolution,[],[f53596])).
% 59.37/10.00  tff(f53596,plain,(
% 59.37/10.00    ( ! [X3 : int,X0 : int,X1 : int] : (sP464(X0,X1,aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X3)) | zero_zero(int) != X1 | X0 != X3) )),
% 59.37/10.00    inference(equality_resolution,[],[f48400])).
% 59.37/10.00  tff(f48400,plain,(
% 59.37/10.00    ( ! [X2 : product_prod(int,int),X3 : int,X0 : int,X1 : int] : (sP464(X0,X1,X2) | aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X3) != X2 | zero_zero(int) != X1 | X0 != X3) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33247])).
% 59.37/10.00  tff(f80183,plain,(
% 59.37/10.00    spl2737_2697 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2695),
% 59.37/10.00    inference(avatar_split_clause,[],[f80173,f80169,f77642,f65679,f80180])).
% 59.37/10.00  tff(f80180,plain,(
% 59.37/10.00    spl2737_2697 <=> sP357(neg_numeral_dbl_dec(int,zero_zero(int)),neg_numeral_dbl_dec(int,zero_zero(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2697])])).
% 59.37/10.00  tff(f80169,plain,(
% 59.37/10.00    spl2737_2695 <=> sP357(aa(int,int,uminus_uminus(int),one_one(int)),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2695])])).
% 59.37/10.00  tff(f80173,plain,(
% 59.37/10.00    sP357(neg_numeral_dbl_dec(int,zero_zero(int)),neg_numeral_dbl_dec(int,zero_zero(int))) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2695)),
% 59.37/10.00    inference(forward_demodulation,[],[f80171,f78511])).
% 59.37/10.00  tff(f80171,plain,(
% 59.37/10.00    sP357(aa(int,int,uminus_uminus(int),one_one(int)),aa(int,int,uminus_uminus(int),one_one(int))) | ~spl2737_2695),
% 59.37/10.00    inference(avatar_component_clause,[],[f80169])).
% 59.37/10.00  tff(f80178,plain,(
% 59.37/10.00    spl2737_2696 | ~spl2737_811 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69310,f68901,f68274,f80175])).
% 59.37/10.00  tff(f80175,plain,(
% 59.37/10.00    spl2737_2696 <=> sP224(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2696])])).
% 59.37/10.00  tff(f69310,plain,(
% 59.37/10.00    sP224(rat) | (~spl2737_811 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68276])).
% 59.37/10.00  tff(f80172,plain,(
% 59.37/10.00    spl2737_2695),
% 59.37/10.00    inference(avatar_split_clause,[],[f53384,f80169])).
% 59.37/10.00  tff(f53384,plain,(
% 59.37/10.00    sP357(aa(int,int,uminus_uminus(int),one_one(int)),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.37/10.00    inference(equality_resolution,[],[f53383])).
% 59.37/10.00  tff(f53383,plain,(
% 59.37/10.00    ( ! [X1 : int] : (sP357(aa(int,int,uminus_uminus(int),one_one(int)),X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 59.37/10.00    inference(equality_resolution,[],[f46631])).
% 59.37/10.00  tff(f46631,plain,(
% 59.37/10.00    ( ! [X0 : int,X1 : int] : (sP357(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32206])).
% 59.37/10.00  tff(f80167,plain,(
% 59.37/10.00    spl2737_2694 | ~spl2737_292 | ~spl2737_2341 | ~spl2737_2693),
% 59.37/10.00    inference(avatar_split_clause,[],[f80162,f80158,f77642,f65679,f80164])).
% 59.37/10.00  tff(f80164,plain,(
% 59.37/10.00    spl2737_2694 <=> sP356(neg_numeral_dbl_dec(int,zero_zero(int)),neg_numeral_dbl_dec(int,zero_zero(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2694])])).
% 59.37/10.00  tff(f80158,plain,(
% 59.37/10.00    spl2737_2693 <=> sP356(aa(int,int,uminus_uminus(int),one_one(int)),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2693])])).
% 59.37/10.00  tff(f80162,plain,(
% 59.37/10.00    sP356(neg_numeral_dbl_dec(int,zero_zero(int)),neg_numeral_dbl_dec(int,zero_zero(int))) | (~spl2737_292 | ~spl2737_2341 | ~spl2737_2693)),
% 59.37/10.00    inference(forward_demodulation,[],[f80160,f78511])).
% 59.37/10.00  tff(f80160,plain,(
% 59.37/10.00    sP356(aa(int,int,uminus_uminus(int),one_one(int)),aa(int,int,uminus_uminus(int),one_one(int))) | ~spl2737_2693),
% 59.37/10.00    inference(avatar_component_clause,[],[f80158])).
% 59.37/10.00  tff(f80161,plain,(
% 59.37/10.00    spl2737_2693),
% 59.37/10.00    inference(avatar_split_clause,[],[f53376,f80158])).
% 59.37/10.00  tff(f53376,plain,(
% 59.37/10.00    sP356(aa(int,int,uminus_uminus(int),one_one(int)),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.37/10.00    inference(equality_resolution,[],[f53375])).
% 59.37/10.00  tff(f53375,plain,(
% 59.37/10.00    ( ! [X1 : int] : (sP356(aa(int,int,uminus_uminus(int),one_one(int)),X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 59.37/10.00    inference(equality_resolution,[],[f46623])).
% 59.37/10.00  tff(f46623,plain,(
% 59.37/10.00    ( ! [X0 : int,X1 : int] : (sP356(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32202])).
% 59.37/10.00  tff(f80146,plain,(
% 59.37/10.00    spl2737_2692 | ~spl2737_2691),
% 59.37/10.00    inference(avatar_split_clause,[],[f80142,f80139,f80144])).
% 59.37/10.00  tff(f80144,plain,(
% 59.37/10.00    spl2737_2692 <=> ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X2),X2)) | ~linorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2692])])).
% 59.37/10.00  tff(f80139,plain,(
% 59.37/10.00    spl2737_2691 <=> ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~linorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2691])])).
% 59.37/10.00  tff(f80142,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X2),X2)) | ~linorder(X0)) ) | ~spl2737_2691),
% 59.37/10.00    inference(forward_demodulation,[],[f80140,f50171])).
% 59.37/10.00  tff(f80140,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~linorder(X0)) ) | ~spl2737_2691),
% 59.37/10.00    inference(avatar_component_clause,[],[f80139])).
% 59.37/10.00  tff(f80141,plain,(
% 59.37/10.00    spl2737_2691),
% 59.37/10.00    inference(avatar_split_clause,[],[f53025,f80139])).
% 59.37/10.00  tff(f53025,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~linorder(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f42041])).
% 59.37/10.00  tff(f42041,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | ~linorder(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29893])).
% 59.37/10.00  tff(f29893,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 != X2 | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | X1 = X2)) | ~linorder(X0))),
% 59.37/10.00    inference(flattening,[],[f29892])).
% 59.37/10.00  tff(f29892,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 != X2 | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))) & ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2))) | X1 = X2)) | ~linorder(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f22431])).
% 59.37/10.00  tff(f22431,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 != X2 <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))) | ~linorder(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13827])).
% 59.37/10.00  tff(f13827,plain,(
% 59.37/10.00    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0] : (X1 != X2 <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))))),
% 59.37/10.00    inference(rectify,[],[f861])).
% 59.37/10.00  tff(f861,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (linorder(X0) => ! [X14 : X0,X15 : X0] : (X14 != X15 <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X15),X14)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X14),X15)))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_860_linorder__neq__iff)).
% 59.37/10.00  tff(f80127,plain,(
% 59.37/10.00    spl2737_2690 | ~spl2737_2689),
% 59.37/10.00    inference(avatar_split_clause,[],[f80123,f80120,f80125])).
% 59.37/10.00  tff(f80125,plain,(
% 59.37/10.00    spl2737_2690 <=> ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X2),X2)) | ~semilattice_sup(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2690])])).
% 59.37/10.00  tff(f80120,plain,(
% 59.37/10.00    spl2737_2689 <=> ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~semilattice_sup(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2689])])).
% 59.37/10.00  tff(f80123,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X2),X2)) | ~semilattice_sup(X0)) ) | ~spl2737_2689),
% 59.37/10.00    inference(forward_demodulation,[],[f80121,f50171])).
% 59.37/10.00  tff(f80121,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~semilattice_sup(X0)) ) | ~spl2737_2689),
% 59.37/10.00    inference(avatar_component_clause,[],[f80120])).
% 59.37/10.00  tff(f80122,plain,(
% 59.37/10.00    spl2737_2689),
% 59.37/10.00    inference(avatar_split_clause,[],[f53013,f80120])).
% 59.37/10.00  tff(f53013,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~semilattice_sup(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f41857])).
% 59.37/10.00  tff(f41857,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~semilattice_sup(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29787])).
% 59.37/10.00  tff(f29787,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) != X2) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))) | ~semilattice_sup(X0))),
% 59.37/10.00    inference(flattening,[],[f29786])).
% 59.37/10.00  tff(f29786,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | (X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) != X2)) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))) | ~semilattice_sup(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f22282])).
% 59.37/10.00  tff(f22282,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2)) | ~semilattice_sup(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13711])).
% 59.37/10.00  tff(f13711,plain,(
% 59.37/10.00    ! [X0 : $tType] : (semilattice_sup(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X2),X1) = X2)))),
% 59.37/10.00    inference(rectify,[],[f6307])).
% 59.37/10.00  tff(f6307,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (semilattice_sup(X0) => ! [X49 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7)) <=> (X7 != X49 & aa(X0,X0,aa(X0,fun(X0,X0),sup_sup(X0),X7),X49) = X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6306_sup_Ostrict__order__iff)).
% 59.37/10.00  tff(f80118,plain,(
% 59.37/10.00    spl2737_2688 | ~spl2737_815 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69308,f68901,f68294,f80115])).
% 59.37/10.00  tff(f80115,plain,(
% 59.37/10.00    spl2737_2688 <=> sP224(bool)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2688])])).
% 59.37/10.00  tff(f69308,plain,(
% 59.37/10.00    sP224(bool) | (~spl2737_815 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68296])).
% 59.37/10.00  tff(f80103,plain,(
% 59.37/10.00    spl2737_2687 | ~spl2737_2686),
% 59.37/10.00    inference(avatar_split_clause,[],[f80099,f80096,f80101])).
% 59.37/10.00  tff(f80101,plain,(
% 59.37/10.00    spl2737_2687 <=> ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X2),X2)) | ~semilattice_inf(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2687])])).
% 59.37/10.00  tff(f80096,plain,(
% 59.37/10.00    spl2737_2686 <=> ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~semilattice_inf(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2686])])).
% 59.37/10.00  tff(f80099,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X2),X2)) | ~semilattice_inf(X0)) ) | ~spl2737_2686),
% 59.37/10.00    inference(forward_demodulation,[],[f80097,f50171])).
% 59.37/10.00  tff(f80097,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~semilattice_inf(X0)) ) | ~spl2737_2686),
% 59.37/10.00    inference(avatar_component_clause,[],[f80096])).
% 59.37/10.00  tff(f80098,plain,(
% 59.37/10.00    spl2737_2686),
% 59.37/10.00    inference(avatar_split_clause,[],[f53012,f80096])).
% 59.37/10.00  tff(f53012,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X2)) | ~semilattice_inf(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f41793])).
% 59.37/10.00  tff(f41793,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~semilattice_inf(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29772])).
% 59.37/10.00  tff(f29772,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) != X1) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))) | ~semilattice_inf(X0))),
% 59.37/10.00    inference(flattening,[],[f29771])).
% 59.37/10.00  tff(f29771,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | (X1 = X2 | aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) != X1)) & ((X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)))) | ~semilattice_inf(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f22228])).
% 59.37/10.00  tff(f22228,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1)) | ~semilattice_inf(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13664])).
% 59.37/10.00  tff(f13664,plain,(
% 59.37/10.00    ! [X0 : $tType] : (semilattice_inf(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) <=> (X1 != X2 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X1),X2) = X1)))),
% 59.37/10.00    inference(rectify,[],[f4892])).
% 59.37/10.00  tff(f4892,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (semilattice_inf(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49)) <=> (X7 != X49 & aa(X0,X0,aa(X0,fun(X0,X0),inf_inf(X0),X7),X49) = X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4891_inf_Ostrict__order__iff)).
% 59.37/10.00  tff(f80094,plain,(
% 59.37/10.00    spl2737_2685),
% 59.37/10.00    inference(avatar_split_clause,[],[f52722,f80092])).
% 59.37/10.00  tff(f80092,plain,(
% 59.37/10.00    spl2737_2685 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (sP119(X0,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)),X3,X2) | ~sP120(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2685])])).
% 59.37/10.00  tff(f52722,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sP119(X0,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)),X3,X2) | ~sP120(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38989])).
% 59.37/10.00  tff(f38989,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (sP119(X0,X1,X3,X2) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) != X1 | ~sP120(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28923])).
% 59.37/10.00  tff(f80090,plain,(
% 59.37/10.00    spl2737_2684),
% 59.37/10.00    inference(avatar_split_clause,[],[f52716,f80088])).
% 59.37/10.00  tff(f80088,plain,(
% 59.37/10.00    spl2737_2684 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (sP117(X0,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)),X2,X1) | ~sP118(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2684])])).
% 59.37/10.00  tff(f52716,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP117(X0,aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)),X2,X1) | ~sP118(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38980])).
% 59.37/10.00  tff(f38980,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (sP117(X0,X3,X2,X1) | aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) != X3 | ~sP118(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28919])).
% 59.37/10.00  tff(f80086,plain,(
% 59.37/10.00    spl2737_2683),
% 59.37/10.00    inference(avatar_split_clause,[],[f52714,f80084])).
% 59.37/10.00  tff(f80084,plain,(
% 59.37/10.00    spl2737_2683 <=> ! [X1 : $tType,X2 : num,X3 : X1] : (sP115(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2683])])).
% 59.37/10.00  tff(f52714,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : num,X3 : X1] : (sP115(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38977])).
% 59.37/10.00  tff(f38977,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (sP115(X1,X0,X2,X3) | zero_zero(X1) != X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28918])).
% 59.37/10.00  tff(f80082,plain,(
% 59.37/10.00    spl2737_2682),
% 59.37/10.00    inference(avatar_split_clause,[],[f52711,f80080])).
% 59.37/10.00  tff(f80080,plain,(
% 59.37/10.00    spl2737_2682 <=> ! [X0 : $tType,X2 : num,X1 : X0] : (sP115(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)),X2,X1) | ~sP116(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2682])])).
% 59.37/10.00  tff(f52711,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : num,X1 : X0] : (sP115(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)),X2,X1) | ~sP116(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38971])).
% 59.37/10.00  tff(f38971,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : num,X3 : X0,X1 : X0] : (sP115(X0,X3,X2,X1) | divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) != X3 | ~sP116(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28915])).
% 59.37/10.00  tff(f80078,plain,(
% 59.37/10.00    spl2737_2681),
% 59.37/10.00    inference(avatar_split_clause,[],[f52709,f80076])).
% 59.37/10.00  tff(f80076,plain,(
% 59.37/10.00    spl2737_2681 <=> ! [X1 : $tType,X2 : num,X3 : X1] : (sP113(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2681])])).
% 59.37/10.00  tff(f52709,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : num,X3 : X1] : (sP113(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38968])).
% 59.37/10.00  tff(f38968,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : num,X3 : X1,X0 : X1] : (sP113(X1,X0,X2,X3) | zero_zero(X1) != X0 | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28914])).
% 59.37/10.00  tff(f80074,plain,(
% 59.37/10.00    spl2737_2680),
% 59.37/10.00    inference(avatar_split_clause,[],[f52706,f80072])).
% 59.37/10.00  tff(f80072,plain,(
% 59.37/10.00    spl2737_2680 <=> ! [X0 : $tType,X2 : X0,X3 : num] : (sP113(X0,divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)),X3,X2) | ~sP114(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2680])])).
% 59.37/10.00  tff(f52706,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X3 : num] : (sP113(X0,divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)),X3,X2) | ~sP114(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38962])).
% 59.37/10.00  tff(f38962,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X3 : num,X1 : X0] : (sP113(X0,X1,X3,X2) | divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) != X1 | ~sP114(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28911])).
% 59.37/10.00  tff(f80070,plain,(
% 59.37/10.00    spl2737_2679),
% 59.37/10.00    inference(avatar_split_clause,[],[f52705,f80068])).
% 59.37/10.00  tff(f80068,plain,(
% 59.37/10.00    spl2737_2679 <=> ! [X1 : $tType,X0 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | ~sP111(X1,X0,zero_zero(X1),X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2679])])).
% 59.37/10.00  tff(f52705,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X3 : X1,X0 : num] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | ~sP111(X1,X0,zero_zero(X1),X3)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38956])).
% 59.37/10.00  tff(f38956,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | zero_zero(X1) != X2 | ~sP111(X1,X0,X2,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28910])).
% 59.37/10.00  tff(f28910,plain,(
% 59.37/10.00    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((sP111(X1,X0,X2,X3) | (zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) & zero_zero(X1) = X2) | (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),aa(num,X1,numeral_numeral(X1),X0)),X2) != X3 & zero_zero(X1) != X2)) & (((zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | zero_zero(X1) != X2) & (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),aa(num,X1,numeral_numeral(X1),X0)),X2) = X3 | zero_zero(X1) = X2)) | ~sP111(X1,X0,X2,X3)))),
% 59.37/10.00    inference(rectify,[],[f28909])).
% 59.37/10.00  tff(f28909,plain,(
% 59.37/10.00    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : ((sP111(X0,X3,X2,X1) | (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3) & zero_zero(X0) = X2) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) != X1 & zero_zero(X0) != X2)) & (((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3) | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) = X1 | zero_zero(X0) = X2)) | ~sP111(X0,X3,X2,X1)))),
% 59.37/10.00    inference(flattening,[],[f28908])).
% 59.37/10.00  tff(f28908,plain,(
% 59.37/10.00    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : ((sP111(X0,X3,X2,X1) | ((zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3) & zero_zero(X0) = X2) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) != X1 & zero_zero(X0) != X2))) & (((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3) | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) = X1 | zero_zero(X0) = X2)) | ~sP111(X0,X3,X2,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27250])).
% 59.37/10.00  tff(f27250,plain,(
% 59.37/10.00    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP111(X0,X3,X2,X1) <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3) | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) = X1 | zero_zero(X0) = X2)))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])])).
% 59.37/10.00  tff(f80066,plain,(
% 59.37/10.00    spl2737_2678 | ~spl2737_813 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69307,f68901,f68284,f80063])).
% 59.37/10.00  tff(f80063,plain,(
% 59.37/10.00    spl2737_2678 <=> sP224(real)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2678])])).
% 59.37/10.00  tff(f69307,plain,(
% 59.37/10.00    sP224(real) | (~spl2737_813 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68286])).
% 59.37/10.00  tff(f80061,plain,(
% 59.37/10.00    spl2737_2677),
% 59.37/10.00    inference(avatar_split_clause,[],[f52702,f80059])).
% 59.37/10.00  tff(f80059,plain,(
% 59.37/10.00    spl2737_2677 <=> ! [X1 : $tType,X0 : num,X3 : X1] : (sP111(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2677])])).
% 59.37/10.00  tff(f52702,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X3 : X1,X0 : num] : (sP111(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38959])).
% 59.37/10.00  tff(f38959,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (sP111(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) | zero_zero(X1) != X2) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28910])).
% 59.37/10.00  tff(f80057,plain,(
% 59.37/10.00    spl2737_2676),
% 59.37/10.00    inference(avatar_split_clause,[],[f52700,f80055])).
% 59.37/10.00  tff(f80055,plain,(
% 59.37/10.00    spl2737_2676 <=> ! [X1 : $tType,X0 : num,X3 : X1] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | ~sP109(X1,X0,zero_zero(X1),X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2676])])).
% 59.37/10.00  tff(f52700,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X3 : X1,X0 : num] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | ~sP109(X1,X0,zero_zero(X1),X3)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38947])).
% 59.37/10.00  tff(f38947,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | zero_zero(X1) != X2 | ~sP109(X1,X0,X2,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28906])).
% 59.37/10.00  tff(f28906,plain,(
% 59.37/10.00    ! [X0 : num,X1 : $tType,X2 : X1,X3 : X1] : ((sP109(X1,X0,X2,X3) | (zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) & zero_zero(X1) = X2) | (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),aa(num,X1,numeral_numeral(X1),X0)),X2) != X3 & zero_zero(X1) != X2)) & (((zero_zero(X1) = aa(num,X1,numeral_numeral(X1),X0) | zero_zero(X1) != X2) & (aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),aa(num,X1,numeral_numeral(X1),X0)),X2) = X3 | zero_zero(X1) = X2)) | ~sP109(X1,X0,X2,X3)))),
% 59.37/10.00    inference(rectify,[],[f28905])).
% 59.37/10.00  tff(f28905,plain,(
% 59.37/10.00    ! [X1 : num,X0 : $tType,X3 : X0,X2 : X0] : ((sP109(X0,X1,X3,X2) | (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) & zero_zero(X0) = X3) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) != X2 & zero_zero(X0) != X3)) & (((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X1) | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) = X2 | zero_zero(X0) = X3)) | ~sP109(X0,X1,X3,X2)))),
% 59.37/10.00    inference(flattening,[],[f28904])).
% 59.37/10.00  tff(f28904,plain,(
% 59.37/10.00    ! [X1 : num,X0 : $tType,X3 : X0,X2 : X0] : ((sP109(X0,X1,X3,X2) | ((zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) & zero_zero(X0) = X3) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) != X2 & zero_zero(X0) != X3))) & (((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X1) | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) = X2 | zero_zero(X0) = X3)) | ~sP109(X0,X1,X3,X2)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27247])).
% 59.37/10.00  tff(f27247,plain,(
% 59.37/10.00    ! [X1 : num,X0 : $tType,X3 : X0,X2 : X0] : (sP109(X0,X1,X3,X2) <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X1) | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) = X2 | zero_zero(X0) = X3)))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])])).
% 59.37/10.00  tff(f80053,plain,(
% 59.37/10.00    spl2737_2675),
% 59.37/10.00    inference(avatar_split_clause,[],[f52697,f80051])).
% 59.37/10.00  tff(f80051,plain,(
% 59.37/10.00    spl2737_2675 <=> ! [X1 : $tType,X0 : num,X3 : X1] : (sP109(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2675])])).
% 59.37/10.00  tff(f52697,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X3 : X1,X0 : num] : (sP109(X1,X0,zero_zero(X1),X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38950])).
% 59.37/10.00  tff(f38950,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : num] : (sP109(X1,X0,X2,X3) | zero_zero(X1) != aa(num,X1,numeral_numeral(X1),X0) | zero_zero(X1) != X2) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28906])).
% 59.37/10.00  tff(f80049,plain,(
% 59.37/10.00    spl2737_2674),
% 59.37/10.00    inference(avatar_split_clause,[],[f52644,f80047])).
% 59.37/10.00  tff(f80047,plain,(
% 59.37/10.00    spl2737_2674 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2674])])).
% 59.37/10.00  tff(f52644,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38684])).
% 59.37/10.00  tff(f38684,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) != X2 | aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28867])).
% 59.37/10.00  tff(f28867,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) | aa(X0,X0,uminus_uminus(X0),X2) != X1 | zero_zero(X0) = X2) & ((aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2) | aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 59.37/10.00    inference(flattening,[],[f28866])).
% 59.37/10.00  tff(f28866,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) | (aa(X0,X0,uminus_uminus(X0),X2) != X1 | zero_zero(X0) = X2)) & ((aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2) | aa(X0,X0,uminus_uminus(X0),one_one(X0)) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f19924])).
% 59.37/10.00  tff(f19924,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) <=> (aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2)) | ~field(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11755])).
% 59.37/10.00  tff(f11755,plain,(
% 59.37/10.00    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X1,X2) <=> (aa(X0,X0,uminus_uminus(X0),X2) = X1 & zero_zero(X0) != X2)))),
% 59.37/10.00    inference(rectify,[],[f1205])).
% 59.37/10.00  tff(f1205,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (field(X0) => ! [X7 : X0,X49 : X0] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = divide_divide(X0,X7,X49) <=> (aa(X0,X0,uminus_uminus(X0),X49) = X7 & zero_zero(X0) != X49)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1204_divide__eq__minus__1__iff)).
% 59.37/10.00  tff(f80045,plain,(
% 59.37/10.00    spl2737_2673),
% 59.37/10.00    inference(avatar_split_clause,[],[f52636,f80043])).
% 59.37/10.00  tff(f80043,plain,(
% 59.37/10.00    spl2737_2673 <=> ! [X0 : $tType] : (~inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),zero_zero(X0)),top_top(set(X0))) | ~field(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2673])])).
% 59.37/10.00  tff(f52636,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),zero_zero(X0)),top_top(set(X0))) | ~field(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38660])).
% 59.37/10.00  tff(f38660,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != X1 | ~inj_on(X0,X0,aTP_Lamp_yz(X0,fun(X0,X0),X1),top_top(set(X0))) | ~field(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28859])).
% 59.37/10.00  tff(f80041,plain,(
% 59.37/10.00    spl2737_2672),
% 59.37/10.00    inference(avatar_split_clause,[],[f52634,f80039])).
% 59.37/10.00  tff(f80039,plain,(
% 59.37/10.00    spl2737_2672 <=> ! [X0 : $tType,X1 : X0] : (unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),zero_zero(X0))) | ~unique1627219031080169319umeral(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2672])])).
% 59.37/10.00  tff(f52634,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),zero_zero(X0))) | ~unique1627219031080169319umeral(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38640])).
% 59.37/10.00  tff(f38640,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (unique5940410009612947441es_aux(X0,aa(X0,product_prod(X0,X0),product_Pair(X0,X0,X1),X2)) | zero_zero(X0) != X2 | ~unique1627219031080169319umeral(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28853])).
% 59.37/10.00  tff(f80037,plain,(
% 59.37/10.00    spl2737_2671),
% 59.37/10.00    inference(avatar_split_clause,[],[f50585,f80035])).
% 59.37/10.00  tff(f50585,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(set(nat),bool,finite_finite(nat),collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X0))))) )),
% 59.37/10.00    inference(definition_unfolding,[],[f35820,f35854])).
% 59.37/10.00  tff(f35854,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (nat_set_decode(X0) = collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10021])).
% 59.37/10.00  tff(f10021,plain,(
% 59.37/10.00    ! [X0 : nat] : nat_set_decode(X0) = collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X0))),
% 59.37/10.00    inference(rectify,[],[f3562])).
% 59.37/10.00  tff(f3562,axiom,(
% 59.37/10.00    ! [X14 : nat] : nat_set_decode(X14) = collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3561_set__decode__def)).
% 59.37/10.00  tff(f35820,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(set(nat),bool,finite_finite(nat),nat_set_decode(X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f9990])).
% 59.37/10.00  tff(f9990,plain,(
% 59.37/10.00    ! [X0 : nat] : pp(aa(set(nat),bool,finite_finite(nat),nat_set_decode(X0)))),
% 59.37/10.00    inference(rectify,[],[f4106])).
% 59.37/10.00  tff(f4106,axiom,(
% 59.37/10.00    ! [X8 : nat] : pp(aa(set(nat),bool,finite_finite(nat),nat_set_decode(X8)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4105_finite__set__decode)).
% 59.37/10.00  tff(f80033,plain,(
% 59.37/10.00    spl2737_2670),
% 59.37/10.00    inference(avatar_split_clause,[],[f50584,f80031])).
% 59.37/10.00  tff(f80031,plain,(
% 59.37/10.00    spl2737_2670 <=> ! [X0 : nat] : aa(set(nat),nat,nat_set_encode,collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X0))) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2670])])).
% 59.37/10.00  tff(f50584,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(set(nat),nat,nat_set_encode,collect(nat,aTP_Lamp_am(nat,fun(nat,bool),X0))) = X0) )),
% 59.37/10.00    inference(definition_unfolding,[],[f35819,f35854])).
% 59.37/10.00  tff(f35819,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(set(nat),nat,nat_set_encode,nat_set_decode(X0)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f9989])).
% 59.37/10.00  tff(f9989,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(set(nat),nat,nat_set_encode,nat_set_decode(X0)) = X0),
% 59.37/10.00    inference(rectify,[],[f4077])).
% 59.37/10.00  tff(f4077,axiom,(
% 59.37/10.00    ! [X8 : nat] : aa(set(nat),nat,nat_set_encode,nat_set_decode(X8)) = X8),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4076_set__decode__inverse)).
% 59.37/10.00  tff(f80029,plain,(
% 59.37/10.00    spl2737_2669),
% 59.37/10.00    inference(avatar_split_clause,[],[f50575,f80027])).
% 59.37/10.00  tff(f80027,plain,(
% 59.37/10.00    spl2737_2669 <=> ! [X0 : num] : one2 != aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(X0)),one2)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2669])])).
% 59.37/10.00  tff(f50575,plain,(
% 59.37/10.00    ( ! [X0 : num] : (one2 != aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(X0)),one2)) )),
% 59.37/10.00    inference(definition_unfolding,[],[f35771,f50501])).
% 59.37/10.00  tff(f35771,plain,(
% 59.37/10.00    ( ! [X0 : num] : (one2 != bit0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f9941])).
% 59.37/10.00  tff(f9941,plain,(
% 59.37/10.00    ! [X0 : num] : one2 != bit0(X0)),
% 59.37/10.00    inference(rectify,[],[f2362])).
% 59.37/10.00  tff(f2362,axiom,(
% 59.37/10.00    ! [X10 : num] : one2 != bit0(X10)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2361_verit__eq__simplify_I10_J)).
% 59.37/10.00  tff(f80020,plain,(
% 59.37/10.00    spl2737_2668 | ~spl2737_806 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69305,f68901,f68249,f80017])).
% 59.37/10.00  tff(f80017,plain,(
% 59.37/10.00    spl2737_2668 <=> sP224(literal)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2668])])).
% 59.37/10.00  tff(f69305,plain,(
% 59.37/10.00    sP224(literal) | (~spl2737_806 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68251])).
% 59.37/10.00  tff(f80015,plain,(
% 59.37/10.00    spl2737_2667 | ~spl2737_1159 | ~spl2737_2027 | ~spl2737_2494 | ~spl2737_2666),
% 59.37/10.00    inference(avatar_split_clause,[],[f80010,f80004,f79175,f75048,f70058,f80012])).
% 59.37/10.00  tff(f80012,plain,(
% 59.37/10.00    spl2737_2667 <=> one_one(complex) = complex2(im(imaginary_unit),im(rcis(im(imaginary_unit),pi)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2667])])).
% 59.37/10.00  tff(f70058,plain,(
% 59.37/10.00    spl2737_1159 <=> im(imaginary_unit) = re(one_one(complex))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_1159])])).
% 59.37/10.00  tff(f75048,plain,(
% 59.37/10.00    spl2737_2027 <=> aa(complex,complex,uminus_uminus(complex),one_one(complex)) = rcis(im(imaginary_unit),pi)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2027])])).
% 59.37/10.00  tff(f80004,plain,(
% 59.37/10.00    spl2737_2666 <=> one_one(complex) = complex2(re(one_one(complex)),aa(real,real,uminus_uminus(real),im(one_one(complex))))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2666])])).
% 59.37/10.00  tff(f80010,plain,(
% 59.37/10.00    one_one(complex) = complex2(im(imaginary_unit),im(rcis(im(imaginary_unit),pi))) | (~spl2737_1159 | ~spl2737_2027 | ~spl2737_2494 | ~spl2737_2666)),
% 59.37/10.00    inference(forward_demodulation,[],[f80009,f70060])).
% 59.37/10.00  tff(f70060,plain,(
% 59.37/10.00    im(imaginary_unit) = re(one_one(complex)) | ~spl2737_1159),
% 59.37/10.00    inference(avatar_component_clause,[],[f70058])).
% 59.37/10.00  tff(f80009,plain,(
% 59.37/10.00    one_one(complex) = complex2(re(one_one(complex)),im(rcis(im(imaginary_unit),pi))) | (~spl2737_2027 | ~spl2737_2494 | ~spl2737_2666)),
% 59.37/10.00    inference(forward_demodulation,[],[f80008,f75050])).
% 59.37/10.00  tff(f75050,plain,(
% 59.37/10.00    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = rcis(im(imaginary_unit),pi) | ~spl2737_2027),
% 59.37/10.00    inference(avatar_component_clause,[],[f75048])).
% 59.37/10.00  tff(f80008,plain,(
% 59.37/10.00    one_one(complex) = complex2(re(one_one(complex)),im(aa(complex,complex,uminus_uminus(complex),one_one(complex)))) | (~spl2737_2494 | ~spl2737_2666)),
% 59.37/10.00    inference(forward_demodulation,[],[f80006,f79176])).
% 59.37/10.00  tff(f80006,plain,(
% 59.37/10.00    one_one(complex) = complex2(re(one_one(complex)),aa(real,real,uminus_uminus(real),im(one_one(complex)))) | ~spl2737_2666),
% 59.37/10.00    inference(avatar_component_clause,[],[f80004])).
% 59.37/10.00  tff(f80007,plain,(
% 59.37/10.00    spl2737_2666),
% 59.37/10.00    inference(avatar_split_clause,[],[f50515,f80004])).
% 59.37/10.00  tff(f50515,plain,(
% 59.37/10.00    one_one(complex) = complex2(re(one_one(complex)),aa(real,real,uminus_uminus(real),im(one_one(complex))))),
% 59.37/10.00    inference(definition_unfolding,[],[f35409,f35871])).
% 59.37/10.00  tff(f35409,plain,(
% 59.37/10.00    one_one(complex) = cnj(one_one(complex))),
% 59.37/10.00    inference(cnf_transformation,[],[f7383])).
% 59.37/10.00  tff(f7383,axiom,(
% 59.37/10.00    one_one(complex) = cnj(one_one(complex))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7382_complex__cnj__one)).
% 59.37/10.00  tff(f80002,plain,(
% 59.37/10.00    spl2737_2665),
% 59.37/10.00    inference(avatar_split_clause,[],[f50496,f80000])).
% 59.37/10.00  tff(f80000,plain,(
% 59.37/10.00    spl2737_2665 <=> ! [X5 : nat,X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X0 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X6 : list(vEBT_VEBT),X2 : list(vEBT_VEBT),X1 : nat] : (X2 = X6 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2665])])).
% 59.37/10.00  tff(f50496,plain,(
% 59.37/10.00    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X2 = X6 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f34554])).
% 59.37/10.00  tff(f79998,plain,(
% 59.37/10.00    spl2737_2664),
% 59.37/10.00    inference(avatar_split_clause,[],[f49820,f79996])).
% 59.37/10.00  tff(f79996,plain,(
% 59.37/10.00    spl2737_2664 <=> ! [X0 : $tType,X4 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (semila1105856199041335345_order(X0,X1,X2,X3,X4) | ~semilattice_order(X0,X1,X3,X4) | ~semilattice_neutr(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2664])])).
% 59.37/10.00  tff(f49820,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,fun(X0,bool))] : (semila1105856199041335345_order(X0,X1,X2,X3,X4) | ~semilattice_order(X0,X1,X3,X4) | ~semilattice_neutr(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f26709])).
% 59.37/10.00  tff(f26709,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool))] : (semila1105856199041335345_order(X0,X1,X2,X3,X4) | ~semilattice_order(X0,X1,X3,X4) | ~semilattice_neutr(X0,X1,X2))),
% 59.37/10.00    inference(flattening,[],[f26708])).
% 59.37/10.00  tff(f26708,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool))] : ((semila1105856199041335345_order(X0,X1,X2,X3,X4) | ~semilattice_order(X0,X1,X3,X4)) | ~semilattice_neutr(X0,X1,X2))),
% 59.37/10.00    inference(ennf_transformation,[],[f18039])).
% 59.37/10.00  tff(f18039,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool))] : (semilattice_neutr(X0,X1,X2) => (semilattice_order(X0,X1,X3,X4) => semila1105856199041335345_order(X0,X1,X2,X3,X4)))),
% 59.37/10.00    inference(rectify,[],[f7872])).
% 59.37/10.00  tff(f7872,axiom,(
% 59.37/10.00    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X235 : fun(X0,fun(X0,bool)),X236 : fun(X0,fun(X0,bool))] : (semilattice_neutr(X0,X32,X60) => (semilattice_order(X0,X32,X235,X236) => semila1105856199041335345_order(X0,X32,X60,X235,X236)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7871_semilattice__neutr__order_Ointro)).
% 59.37/10.00  tff(f79994,plain,(
% 59.37/10.00    spl2737_2663),
% 59.37/10.00    inference(avatar_split_clause,[],[f49588,f79992])).
% 59.37/10.00  tff(f79992,plain,(
% 59.37/10.00    spl2737_2663 <=> ! [X1 : $tType,X0 : $tType,X3 : list(X1),X2 : fun(X1,X0)] : (distinct(X1,X3) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2663])])).
% 59.37/10.00  tff(f49588,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : (distinct(X1,X3) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f34039])).
% 59.37/10.00  tff(f34039,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : ((distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)) | ~inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) | ~distinct(X1,X3)) & ((inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) & distinct(X1,X3)) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3))))),
% 59.37/10.00    inference(flattening,[],[f34038])).
% 59.37/10.00  tff(f34038,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : ((distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)) | (~inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) | ~distinct(X1,X3))) & ((inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) & distinct(X1,X3)) | ~distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3))))),
% 59.37/10.00    inference(nnf_transformation,[],[f17936])).
% 59.37/10.00  tff(f17936,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : list(X1)] : (distinct(X0,aa(list(X1),list(X0),map(X1,X0,X2),X3)) <=> (inj_on(X1,X0,X2,aa(list(X1),set(X1),set2(X1),X3)) & distinct(X1,X3)))),
% 59.37/10.00    inference(rectify,[],[f6175])).
% 59.37/10.00  tff(f6175,axiom,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType,X32 : fun(X1,X0),X123 : list(X1)] : (distinct(X0,aa(list(X1),list(X0),map(X1,X0,X32),X123)) <=> (inj_on(X1,X0,X32,aa(list(X1),set(X1),set2(X1),X123)) & distinct(X1,X123)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6174_distinct__map)).
% 59.37/10.00  tff(f79990,plain,(
% 59.37/10.00    spl2737_2662),
% 59.37/10.00    inference(avatar_split_clause,[],[f49449,f79988])).
% 59.37/10.00  tff(f79988,plain,(
% 59.37/10.00    spl2737_2662 <=> ! [X0 : $tType,X3 : X0,X2 : fun(X0,nat),X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,X1,sK2541(X0,X1,X2))))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2662])])).
% 59.37/10.00  tff(f49449,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : fun(X0,nat),X3 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(X0,bool,X1,sK2541(X0,X1,X2)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33903])).
% 59.37/10.00  tff(f33903,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,bool),X2 : fun(X0,nat),X3 : X0] : (pp(aa(X0,bool,X1,X3)) | (! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,sK2541(X0,X1,X2))))) & ~pp(aa(X0,bool,X1,sK2541(X0,X1,X2)))))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2541])],[f26628,f33902])).
% 59.37/10.00  tff(f33902,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,bool),X2 : fun(X0,nat)] : (? [X4 : X0] : (! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4)))) & ~pp(aa(X0,bool,X1,X4))) => (! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,sK2541(X0,X1,X2))))) & ~pp(aa(X0,bool,X1,sK2541(X0,X1,X2)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f26628,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,bool),X2 : fun(X0,nat),X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ? [X4 : X0] : (! [X5 : X0] : (pp(aa(X0,bool,X1,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4)))) & ~pp(aa(X0,bool,X1,X4))))),
% 59.37/10.00    inference(ennf_transformation,[],[f17906])).
% 59.37/10.00  tff(f17906,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,bool),X2 : fun(X0,nat),X3 : X0] : (! [X4 : X0] : (~pp(aa(X0,bool,X1,X4)) => ? [X5 : X0] : (~pp(aa(X0,bool,X1,X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X2,X5)),aa(X0,nat,X2,X4))))) => pp(aa(X0,bool,X1,X3)))),
% 59.37/10.00    inference(rectify,[],[f64])).
% 59.37/10.00  tff(f64,axiom,(
% 59.37/10.00    ! [X0 : $tType,X17 : fun(X0,bool),X38 : fun(X0,nat),X14 : X0] : (! [X20 : X0] : (~pp(aa(X0,bool,X17,X20)) => ? [X37 : X0] : (~pp(aa(X0,bool,X17,X37)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X38,X37)),aa(X0,nat,X38,X20))))) => pp(aa(X0,bool,X17,X14)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_infinite__descent__measure)).
% 59.37/10.00  tff(f79986,plain,(
% 59.37/10.00    spl2737_2661),
% 59.37/10.00    inference(avatar_split_clause,[],[f48985,f79984])).
% 59.37/10.00  tff(f79984,plain,(
% 59.37/10.00    spl2737_2661 <=> ! [X0 : $tType,X3 : nat,X2 : fun(nat,X0),X1 : X0] : aa(nat,X0,X2,X3) = case_nat(X0,X1,X2,aa(nat,nat,suc,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2661])])).
% 59.37/10.00  tff(f48985,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : fun(nat,X0),X3 : nat,X1 : X0] : (aa(nat,X0,X2,X3) = case_nat(X0,X1,X2,aa(nat,nat,suc,X3))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f17601])).
% 59.37/10.00  tff(f17601,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0,X2 : fun(nat,X0),X3 : nat] : aa(nat,X0,X2,X3) = case_nat(X0,X1,X2,aa(nat,nat,suc,X3))),
% 59.37/10.00    inference(rectify,[],[f4357])).
% 59.37/10.00  tff(f4357,axiom,(
% 59.37/10.00    ! [X0 : $tType,X232 : X0,X233 : fun(nat,X0),X10 : nat] : case_nat(X0,X232,X233,aa(nat,nat,suc,X10)) = aa(nat,X0,X233,X10)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4356_old_Onat_Osimps_I5_J)).
% 59.37/10.00  tff(f79982,plain,(
% 59.37/10.00    spl2737_2660),
% 59.37/10.00    inference(avatar_split_clause,[],[f48579,f79980])).
% 59.37/10.00  tff(f79980,plain,(
% 59.37/10.00    spl2737_2660 <=> ! [X2 : real,X0 : fun(real,bool),X1 : nat] : (sP478(X0,X2,X1) | ~pp(aa(real,bool,X0,aa(real,real,root(X1),X2))))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2660])])).
% 59.37/10.00  tff(f48579,plain,(
% 59.37/10.00    ( ! [X2 : real,X0 : fun(real,bool),X1 : nat] : (sP478(X0,X2,X1) | ~pp(aa(real,bool,X0,aa(real,real,root(X1),X2)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33387])).
% 59.37/10.00  tff(f33387,plain,(
% 59.37/10.00    ! [X0 : fun(real,bool),X1 : nat,X2 : real] : ((pp(aa(real,bool,X0,aa(real,real,root(X1),X2))) | ~sP478(X0,X2,X1) | (~pp(aa(real,bool,X0,zero_zero(real))) & zero_zero(nat) = X1)) & ((sP478(X0,X2,X1) & (pp(aa(real,bool,X0,zero_zero(real))) | zero_zero(nat) != X1)) | ~pp(aa(real,bool,X0,aa(real,real,root(X1),X2)))))),
% 59.37/10.00    inference(flattening,[],[f33386])).
% 59.37/10.00  tff(f33386,plain,(
% 59.37/10.00    ! [X0 : fun(real,bool),X1 : nat,X2 : real] : ((pp(aa(real,bool,X0,aa(real,real,root(X1),X2))) | (~sP478(X0,X2,X1) | (~pp(aa(real,bool,X0,zero_zero(real))) & zero_zero(nat) = X1))) & ((sP478(X0,X2,X1) & (pp(aa(real,bool,X0,zero_zero(real))) | zero_zero(nat) != X1)) | ~pp(aa(real,bool,X0,aa(real,real,root(X1),X2)))))),
% 59.37/10.00    inference(nnf_transformation,[],[f27798])).
% 59.37/10.00  tff(f27798,plain,(
% 59.37/10.00    ! [X0 : fun(real,bool),X1 : nat,X2 : real] : (pp(aa(real,bool,X0,aa(real,real,root(X1),X2))) <=> (sP478(X0,X2,X1) & (pp(aa(real,bool,X0,zero_zero(real))) | zero_zero(nat) != X1)))),
% 59.37/10.00    inference(definition_folding,[],[f26298,f27797])).
% 59.37/10.00  tff(f26298,plain,(
% 59.37/10.00    ! [X0 : fun(real,bool),X1 : nat,X2 : real] : (pp(aa(real,bool,X0,aa(real,real,root(X1),X2))) <=> ((! [X3 : real] : (pp(aa(real,bool,X0,X3)) | aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) != X2) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))) & (pp(aa(real,bool,X0,zero_zero(real))) | zero_zero(nat) != X1)))),
% 59.37/10.00    inference(ennf_transformation,[],[f17467])).
% 59.37/10.00  tff(f17467,plain,(
% 59.37/10.00    ! [X0 : fun(real,bool),X1 : nat,X2 : real] : (pp(aa(real,bool,X0,aa(real,real,root(X1),X2))) <=> ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)) => ! [X3 : real] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X3)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X3)),X1)) = X2 => pp(aa(real,bool,X0,X3)))) & (zero_zero(nat) = X1 => pp(aa(real,bool,X0,zero_zero(real))))))),
% 59.37/10.00    inference(rectify,[],[f1775])).
% 59.37/10.00  tff(f1775,axiom,(
% 59.37/10.00    ! [X17 : fun(real,bool),X8 : nat,X14 : real] : (pp(aa(real,bool,X17,aa(real,real,root(X8),X14))) <=> ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X8)) => ! [X145 : real] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,sgn_sgn(real),X145)),aa(nat,real,aa(real,fun(nat,real),power_power(real),aa(real,real,abs_abs(real),X145)),X8)) = X14 => pp(aa(real,bool,X17,X145)))) & (zero_zero(nat) = X8 => pp(aa(real,bool,X17,zero_zero(real))))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1774_split__root)).
% 59.37/10.00  tff(f79978,plain,(
% 59.37/10.00    spl2737_2659),
% 59.37/10.00    inference(avatar_split_clause,[],[f48244,f79976])).
% 59.37/10.00  tff(f79976,plain,(
% 59.37/10.00    spl2737_2659 <=> ! [X5 : bool,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (sP453(X4,X3,X2,X1,X0) | pp(X5) | ~sP454(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2659])])).
% 59.37/10.00  tff(f48244,plain,(
% 59.37/10.00    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (sP453(X4,X3,X2,X1,X0) | pp(X5) | ~sP454(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33068])).
% 59.37/10.00  tff(f33068,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (((~sP453(X4,X3,X2,X1,X0) | X1 = X2 | X0 = X2 | ~pp(X5)) & ((sP453(X4,X3,X2,X1,X0) & X1 != X2 & X0 != X2) | pp(X5))) | ~sP454(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    inference(rectify,[],[f33067])).
% 59.37/10.00  tff(f33067,plain,(
% 59.37/10.00    ! [X14 : nat,X15 : nat,X1 : nat,X16 : nat,X17 : list(vEBT_VEBT),X2 : bool] : (((~sP453(X17,X16,X1,X15,X14) | X1 = X15 | X1 = X14 | ~pp(X2)) & ((sP453(X17,X16,X1,X15,X14) & X1 != X15 & X1 != X14) | pp(X2))) | ~sP454(X14,X15,X1,X16,X17,X2))),
% 59.37/10.00    inference(flattening,[],[f33066])).
% 59.37/10.00  tff(f33066,plain,(
% 59.37/10.00    ! [X14 : nat,X15 : nat,X1 : nat,X16 : nat,X17 : list(vEBT_VEBT),X2 : bool] : ((((~sP453(X17,X16,X1,X15,X14) | X1 = X15 | X1 = X14) | ~pp(X2)) & ((sP453(X17,X16,X1,X15,X14) & X1 != X15 & X1 != X14) | pp(X2))) | ~sP454(X14,X15,X1,X16,X17,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27760])).
% 59.37/10.00  tff(f27760,plain,(
% 59.37/10.00    ! [X14 : nat,X15 : nat,X1 : nat,X16 : nat,X17 : list(vEBT_VEBT),X2 : bool] : ((pp(X2) <~> (sP453(X17,X16,X1,X15,X14) & X1 != X15 & X1 != X14)) | ~sP454(X14,X15,X1,X16,X17,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP454])])).
% 59.37/10.00  tff(f79974,plain,(
% 59.37/10.00    spl2737_2658),
% 59.37/10.00    inference(avatar_split_clause,[],[f48239,f79972])).
% 59.37/10.00  tff(f79972,plain,(
% 59.37/10.00    spl2737_2658 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (sP452(sK2275(X0,X1,X2),X1,sK2274(X0,X1,X2),X0) | ~sP456(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2658])])).
% 59.37/10.00  tff(f48239,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (sP452(sK2275(X0,X1,X2),X1,sK2274(X0,X1,X2),X0) | ~sP456(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33063])).
% 59.37/10.00  tff(f33063,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : ((sP452(sK2275(X0,X1,X2),X1,sK2274(X0,X1,X2),X0) & vEBT_Leaf(sK2274(X0,X1,X2),sK2275(X0,X1,X2)) = X2) | ~sP456(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2274,sK2275])],[f33061,f33062])).
% 59.37/10.00  tff(f33062,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP452(X4,X1,X3,X0) & vEBT_Leaf(X3,X4) = X2) => (sP452(sK2275(X0,X1,X2),X1,sK2274(X0,X1,X2),X0) & vEBT_Leaf(sK2274(X0,X1,X2),sK2275(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f33061,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP452(X4,X1,X3,X0) & vEBT_Leaf(X3,X4) = X2) | ~sP456(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f33060])).
% 59.37/10.00  tff(f33060,plain,(
% 59.37/10.00    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP452(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP456(X2,X1,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27762])).
% 59.37/10.00  tff(f27762,plain,(
% 59.37/10.00    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP452(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP456(X2,X1,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP456])])).
% 59.37/10.00  tff(f79970,plain,(
% 59.37/10.00    spl2737_2657 | ~spl2737_808 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69304,f68901,f68259,f79967])).
% 59.37/10.00  tff(f79967,plain,(
% 59.37/10.00    spl2737_2657 <=> sP224(extended_enat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2657])])).
% 59.37/10.00  tff(f69304,plain,(
% 59.37/10.00    sP224(extended_enat) | (~spl2737_808 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68261])).
% 59.37/10.00  tff(f79965,plain,(
% 59.37/10.00    spl2737_2656),
% 59.37/10.00    inference(avatar_split_clause,[],[f48238,f79963])).
% 59.37/10.00  tff(f79963,plain,(
% 59.37/10.00    spl2737_2656 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (vEBT_Leaf(sK2274(X0,X1,X2),sK2275(X0,X1,X2)) = X2 | ~sP456(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2656])])).
% 59.37/10.00  tff(f48238,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (vEBT_Leaf(sK2274(X0,X1,X2),sK2275(X0,X1,X2)) = X2 | ~sP456(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33063])).
% 59.37/10.00  tff(f79961,plain,(
% 59.37/10.00    spl2737_2655),
% 59.37/10.00    inference(avatar_split_clause,[],[f48214,f79959])).
% 59.37/10.00  tff(f79959,plain,(
% 59.37/10.00    spl2737_2655 <=> ! [X3 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : bool,X2 : nat,X1 : nat] : (pp(X5) | ~sP444(X4,X3,X2,X1,X0) | ~sP445(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2655])])).
% 59.37/10.00  tff(f48214,plain,(
% 59.37/10.00    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | ~sP444(X4,X3,X2,X1,X0) | ~sP445(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33041])).
% 59.37/10.00  tff(f33041,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (((pp(X5) | (~sP444(X4,X3,X2,X1,X0) & X1 != X2 & X0 != X2)) & (sP444(X4,X3,X2,X1,X0) | X1 = X2 | X0 = X2 | ~pp(X5))) | ~sP445(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    inference(rectify,[],[f33040])).
% 59.37/10.00  tff(f33040,plain,(
% 59.37/10.00    ! [X14 : nat,X15 : nat,X1 : nat,X16 : nat,X17 : list(vEBT_VEBT),X2 : bool] : (((pp(X2) | (~sP444(X17,X16,X1,X15,X14) & X1 != X15 & X1 != X14)) & (sP444(X17,X16,X1,X15,X14) | X1 = X15 | X1 = X14 | ~pp(X2))) | ~sP445(X14,X15,X1,X16,X17,X2))),
% 59.37/10.00    inference(flattening,[],[f33039])).
% 59.37/10.00  tff(f33039,plain,(
% 59.37/10.00    ! [X14 : nat,X15 : nat,X1 : nat,X16 : nat,X17 : list(vEBT_VEBT),X2 : bool] : (((pp(X2) | (~sP444(X17,X16,X1,X15,X14) & X1 != X15 & X1 != X14)) & ((sP444(X17,X16,X1,X15,X14) | X1 = X15 | X1 = X14) | ~pp(X2))) | ~sP445(X14,X15,X1,X16,X17,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27750])).
% 59.37/10.00  tff(f27750,plain,(
% 59.37/10.00    ! [X14 : nat,X15 : nat,X1 : nat,X16 : nat,X17 : list(vEBT_VEBT),X2 : bool] : ((pp(X2) <=> (sP444(X17,X16,X1,X15,X14) | X1 = X15 | X1 = X14)) | ~sP445(X14,X15,X1,X16,X17,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP445])])).
% 59.37/10.00  tff(f79957,plain,(
% 59.37/10.00    spl2737_2654),
% 59.37/10.00    inference(avatar_split_clause,[],[f48209,f79955])).
% 59.37/10.00  tff(f79955,plain,(
% 59.37/10.00    spl2737_2654 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP443(sK2267(X0,X1,X2),X0,sK2266(X0,X1,X2),X1) | ~sP446(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2654])])).
% 59.37/10.00  tff(f48209,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP443(sK2267(X0,X1,X2),X0,sK2266(X0,X1,X2),X1) | ~sP446(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33038])).
% 59.37/10.00  tff(f33038,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2266(X0,X1,X2),sK2267(X0,X1,X2))),X0)) & sP443(sK2267(X0,X1,X2),X0,sK2266(X0,X1,X2),X1) & vEBT_Leaf(sK2266(X0,X1,X2),sK2267(X0,X1,X2)) = X2) | ~sP446(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2266,sK2267])],[f33036,f33037])).
% 59.37/10.00  tff(f33037,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & sP443(X4,X0,X3,X1) & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2266(X0,X1,X2),sK2267(X0,X1,X2))),X0)) & sP443(sK2267(X0,X1,X2),X0,sK2266(X0,X1,X2),X1) & vEBT_Leaf(sK2266(X0,X1,X2),sK2267(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f33036,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & sP443(X4,X0,X3,X1) & vEBT_Leaf(X3,X4) = X2) | ~sP446(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f33035])).
% 59.37/10.00  tff(f33035,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & sP443(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP446(X1,X2,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27751])).
% 59.37/10.00  tff(f27751,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & sP443(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP446(X1,X2,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP446])])).
% 59.37/10.00  tff(f79953,plain,(
% 59.37/10.00    spl2737_2653),
% 59.37/10.00    inference(avatar_split_clause,[],[f48208,f79951])).
% 59.37/10.00  tff(f79951,plain,(
% 59.37/10.00    spl2737_2653 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2266(X0,X1,X2),sK2267(X0,X1,X2)) = X2 | ~sP446(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2653])])).
% 59.37/10.00  tff(f48208,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2266(X0,X1,X2),sK2267(X0,X1,X2)) = X2 | ~sP446(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33038])).
% 59.37/10.00  tff(f79949,plain,(
% 59.37/10.00    spl2737_2652),
% 59.37/10.00    inference(avatar_split_clause,[],[f48185,f79947])).
% 59.37/10.00  tff(f79947,plain,(
% 59.37/10.00    spl2737_2652 <=> ! [X5 : bool,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (~sP435(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP436(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2652])])).
% 59.37/10.00  tff(f48185,plain,(
% 59.37/10.00    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (~sP435(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP436(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33009])).
% 59.37/10.00  tff(f33009,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (((~sP435(X4,X3,X2,X1,X0) | ~pp(X5)) & (sP435(X4,X3,X2,X1,X0) | pp(X5))) | ~sP436(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    inference(rectify,[],[f33008])).
% 59.37/10.00  tff(f33008,plain,(
% 59.37/10.00    ! [X11 : nat,X12 : nat,X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X2 : bool] : (((~sP435(X14,X13,X1,X12,X11) | ~pp(X2)) & (sP435(X14,X13,X1,X12,X11) | pp(X2))) | ~sP436(X11,X12,X1,X13,X14,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27740])).
% 59.37/10.00  tff(f27740,plain,(
% 59.37/10.00    ! [X11 : nat,X12 : nat,X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X2 : bool] : ((pp(X2) <~> sP435(X14,X13,X1,X12,X11)) | ~sP436(X11,X12,X1,X13,X14,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP436])])).
% 59.37/10.00  tff(f79945,plain,(
% 59.37/10.00    spl2737_2651),
% 59.37/10.00    inference(avatar_split_clause,[],[f48184,f79943])).
% 59.37/10.00  tff(f79943,plain,(
% 59.37/10.00    spl2737_2651 <=> ! [X5 : bool,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (sP435(X4,X3,X2,X1,X0) | pp(X5) | ~sP436(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2651])])).
% 59.37/10.00  tff(f48184,plain,(
% 59.37/10.00    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (sP435(X4,X3,X2,X1,X0) | pp(X5) | ~sP436(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33009])).
% 59.37/10.00  tff(f79941,plain,(
% 59.37/10.00    spl2737_2650),
% 59.37/10.00    inference(avatar_split_clause,[],[f48158,f79939])).
% 59.37/10.00  tff(f79939,plain,(
% 59.37/10.00    spl2737_2650 <=> ! [X3 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : bool,X2 : nat,X1 : nat] : (pp(X5) | ~sP427(X4,X3,X2,X1,X0) | ~sP428(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2650])])).
% 59.37/10.00  tff(f48158,plain,(
% 59.37/10.00    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | ~sP427(X4,X3,X2,X1,X0) | ~sP428(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32981])).
% 59.37/10.00  tff(f32981,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat,X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (((pp(X5) | ~sP427(X4,X3,X2,X1,X0)) & (sP427(X4,X3,X2,X1,X0) | ~pp(X5))) | ~sP428(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    inference(rectify,[],[f32980])).
% 59.37/10.00  tff(f32980,plain,(
% 59.37/10.00    ! [X11 : nat,X12 : nat,X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X2 : bool] : (((pp(X2) | ~sP427(X14,X13,X1,X12,X11)) & (sP427(X14,X13,X1,X12,X11) | ~pp(X2))) | ~sP428(X11,X12,X1,X13,X14,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27731])).
% 59.37/10.00  tff(f27731,plain,(
% 59.37/10.00    ! [X11 : nat,X12 : nat,X1 : nat,X13 : nat,X14 : list(vEBT_VEBT),X2 : bool] : ((pp(X2) <=> sP427(X14,X13,X1,X12,X11)) | ~sP428(X11,X12,X1,X13,X14,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP428])])).
% 59.37/10.00  tff(f79937,plain,(
% 59.37/10.00    spl2737_2649),
% 59.37/10.00    inference(avatar_split_clause,[],[f48157,f79935])).
% 59.37/10.00  tff(f79935,plain,(
% 59.37/10.00    spl2737_2649 <=> ! [X5 : bool,X4 : list(vEBT_VEBT),X0 : nat,X3 : nat,X2 : nat,X1 : nat] : (sP427(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP428(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2649])])).
% 59.37/10.00  tff(f48157,plain,(
% 59.37/10.00    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (sP427(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP428(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32981])).
% 59.37/10.00  tff(f79933,plain,(
% 59.37/10.00    spl2737_2648),
% 59.37/10.00    inference(avatar_split_clause,[],[f48150,f79931])).
% 59.37/10.00  tff(f79931,plain,(
% 59.37/10.00    spl2737_2648 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2234(X0,X1,X2),sK2235(X0,X1,X2)) = X2 | ~sP430(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2648])])).
% 59.37/10.00  tff(f48150,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2234(X0,X1,X2),sK2235(X0,X1,X2)) = X2 | ~sP430(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32976])).
% 59.37/10.00  tff(f32976,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2234(X0,X1,X2),sK2235(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Leaf(sK2234(X0,X1,X2),sK2235(X0,X1,X2)) = X2) | ~sP430(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2234,sK2235])],[f32974,f32975])).
% 59.37/10.00  tff(f32975,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & ~pp(X1) & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2234(X0,X1,X2),sK2235(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Leaf(sK2234(X0,X1,X2),sK2235(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32974,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & ~pp(X1) & vEBT_Leaf(X3,X4) = X2) | ~sP430(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32973])).
% 59.37/10.00  tff(f32973,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & ~pp(X2) & vEBT_Leaf(X3,X4) = X0) | ~sP430(X1,X2,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27733])).
% 59.37/10.00  tff(f27733,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & ~pp(X2) & vEBT_Leaf(X3,X4) = X0) | ~sP430(X1,X2,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP430])])).
% 59.37/10.00  tff(f79929,plain,(
% 59.37/10.00    spl2737_2647),
% 59.37/10.00    inference(avatar_split_clause,[],[f48145,f79927])).
% 59.37/10.00  tff(f79927,plain,(
% 59.37/10.00    spl2737_2647 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP426(sK2229(X0,X1,X2),X0,sK2228(X0,X1,X2),X1) | ~sP432(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2647])])).
% 59.37/10.00  tff(f48145,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP426(sK2229(X0,X1,X2),X0,sK2228(X0,X1,X2),X1) | ~sP432(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32968])).
% 59.37/10.00  tff(f32968,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK2228(X0,X1,X2)),sK2229(X0,X1,X2))),zero_zero(nat),sK2230(X0,X1,X2),sK2231(X0,X1,X2))),X0)) & sP426(sK2229(X0,X1,X2),X0,sK2228(X0,X1,X2),X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK2228(X0,X1,X2)),sK2229(X0,X1,X2))),zero_zero(nat),sK2230(X0,X1,X2),sK2231(X0,X1,X2)) = X2) | ~sP432(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2228,sK2229,sK2230,sK2231])],[f32966,f32967])).
% 59.37/10.00  tff(f32967,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4)),zero_zero(nat),X5,X6)),X0)) & sP426(X4,X0,X3,X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4)),zero_zero(nat),X5,X6) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK2228(X0,X1,X2)),sK2229(X0,X1,X2))),zero_zero(nat),sK2230(X0,X1,X2),sK2231(X0,X1,X2))),X0)) & sP426(sK2229(X0,X1,X2),X0,sK2228(X0,X1,X2),X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK2228(X0,X1,X2)),sK2229(X0,X1,X2))),zero_zero(nat),sK2230(X0,X1,X2),sK2231(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32966,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4)),zero_zero(nat),X5,X6)),X0)) & sP426(X4,X0,X3,X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4)),zero_zero(nat),X5,X6) = X2) | ~sP432(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32965])).
% 59.37/10.00  tff(f32965,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),zero_zero(nat),X9,X10)),X1)) & sP426(X8,X1,X7,X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP432(X1,X2,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27735])).
% 59.37/10.00  tff(f27735,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X7 : nat,X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),zero_zero(nat),X9,X10)),X1)) & sP426(X8,X1,X7,X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),zero_zero(nat),X9,X10) = X0) | ~sP432(X1,X2,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP432])])).
% 59.37/10.00  tff(f79925,plain,(
% 59.37/10.00    spl2737_2646 | ~spl2737_807 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69303,f68901,f68254,f79922])).
% 59.37/10.00  tff(f79922,plain,(
% 59.37/10.00    spl2737_2646 <=> sP224(product_unit)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2646])])).
% 59.37/10.00  tff(f69303,plain,(
% 59.37/10.00    sP224(product_unit) | (~spl2737_807 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68256])).
% 59.37/10.00  tff(f79920,plain,(
% 59.37/10.00    spl2737_2645),
% 59.37/10.00    inference(avatar_split_clause,[],[f48139,f79918])).
% 59.37/10.00  tff(f79918,plain,(
% 59.37/10.00    spl2737_2645 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP429(sK2221(X0,X1,X2),sK2220(X0,X1,X2),X0,X1) | ~sP434(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2645])])).
% 59.37/10.00  tff(f48139,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP429(sK2221(X0,X1,X2),sK2220(X0,X1,X2),X0,X1) | ~sP434(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32960])).
% 59.37/10.00  tff(f32960,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK2220(X0,X1,X2)),sK2221(X0,X1,X2),sK2222(X0,X1,X2))),X0)) & sP429(sK2221(X0,X1,X2),sK2220(X0,X1,X2),X0,X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK2220(X0,X1,X2)),sK2221(X0,X1,X2),sK2222(X0,X1,X2)) = X2) | ~sP434(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2220,sK2221,sK2222])],[f32958,f32959])).
% 59.37/10.00  tff(f32959,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5)),X0)) & sP429(X4,X3,X0,X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK2220(X0,X1,X2)),sK2221(X0,X1,X2),sK2222(X0,X1,X2))),X0)) & sP429(sK2221(X0,X1,X2),sK2220(X0,X1,X2),X0,X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,sK2220(X0,X1,X2)),sK2221(X0,X1,X2),sK2222(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32958,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5)),X0)) & sP429(X4,X3,X0,X1) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X3),X4,X5) = X2) | ~sP434(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32957])).
% 59.37/10.00  tff(f32957,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X16 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18)),X1)) & sP429(X17,X16,X1,X2) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18) = X0) | ~sP434(X1,X2,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27737])).
% 59.37/10.00  tff(f27737,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X16 : nat,X17 : list(vEBT_VEBT),X18 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18)),X1)) & sP429(X17,X16,X1,X2) & vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,X16),X17,X18) = X0) | ~sP434(X1,X2,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP434])])).
% 59.37/10.00  tff(f79916,plain,(
% 59.37/10.00    spl2737_2644),
% 59.37/10.00    inference(avatar_split_clause,[],[f48126,f79914])).
% 59.37/10.00  tff(f79914,plain,(
% 59.37/10.00    spl2737_2644 <=> ! [X5 : bool,X4 : option(product_prod(nat,nat)),X0 : nat,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (~sP423(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP424(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2644])])).
% 59.37/10.00  tff(f48126,plain,(
% 59.37/10.00    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : option(product_prod(nat,nat)),X5 : bool] : (~sP423(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP424(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32947])).
% 59.37/10.00  tff(f32947,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : bool] : (((~sP423(X4,X3,X2,X1,X0) | ~pp(X5)) & (sP423(X4,X3,X2,X1,X0) | pp(X5))) | ~sP424(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    inference(rectify,[],[f32946])).
% 59.37/10.00  tff(f32946,plain,(
% 59.37/10.00    ! [X1 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X5 : option(product_prod(nat,nat)),X2 : bool] : (((~sP423(X5,X8,X7,X6,X1) | ~pp(X2)) & (sP423(X5,X8,X7,X6,X1) | pp(X2))) | ~sP424(X1,X6,X7,X8,X5,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27726])).
% 59.37/10.00  tff(f27726,plain,(
% 59.37/10.00    ! [X1 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X5 : option(product_prod(nat,nat)),X2 : bool] : ((pp(X2) <~> sP423(X5,X8,X7,X6,X1)) | ~sP424(X1,X6,X7,X8,X5,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP424])])).
% 59.37/10.00  tff(f79912,plain,(
% 59.37/10.00    spl2737_2643),
% 59.37/10.00    inference(avatar_split_clause,[],[f48125,f79910])).
% 59.37/10.00  tff(f79910,plain,(
% 59.37/10.00    spl2737_2643 <=> ! [X5 : bool,X4 : option(product_prod(nat,nat)),X0 : nat,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (sP423(X4,X3,X2,X1,X0) | pp(X5) | ~sP424(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2643])])).
% 59.37/10.00  tff(f48125,plain,(
% 59.37/10.00    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : option(product_prod(nat,nat)),X5 : bool] : (sP423(X4,X3,X2,X1,X0) | pp(X5) | ~sP424(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32947])).
% 59.37/10.00  tff(f79908,plain,(
% 59.37/10.00    spl2737_2642),
% 59.37/10.00    inference(avatar_split_clause,[],[f48112,f79906])).
% 59.37/10.00  tff(f79906,plain,(
% 59.37/10.00    spl2737_2642 <=> ! [X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X0 : nat,X5 : bool,X2 : list(vEBT_VEBT),X1 : nat] : (pp(X5) | ~sP419(X4,X3,X2,X1,X0) | ~sP420(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2642])])).
% 59.37/10.00  tff(f48112,plain,(
% 59.37/10.00    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : option(product_prod(nat,nat)),X5 : bool] : (pp(X5) | ~sP419(X4,X3,X2,X1,X0) | ~sP420(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32934])).
% 59.37/10.00  tff(f32934,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : bool] : (((pp(X5) | ~sP419(X4,X3,X2,X1,X0)) & (sP419(X4,X3,X2,X1,X0) | ~pp(X5))) | ~sP420(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    inference(rectify,[],[f32933])).
% 59.37/10.00  tff(f32933,plain,(
% 59.37/10.00    ! [X1 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X5 : option(product_prod(nat,nat)),X2 : bool] : (((pp(X2) | ~sP419(X5,X8,X7,X6,X1)) & (sP419(X5,X8,X7,X6,X1) | ~pp(X2))) | ~sP420(X1,X6,X7,X8,X5,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27721])).
% 59.37/10.00  tff(f27721,plain,(
% 59.37/10.00    ! [X1 : nat,X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT,X5 : option(product_prod(nat,nat)),X2 : bool] : ((pp(X2) <=> sP419(X5,X8,X7,X6,X1)) | ~sP420(X1,X6,X7,X8,X5,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP420])])).
% 59.37/10.00  tff(f79904,plain,(
% 59.37/10.00    spl2737_2641),
% 59.37/10.00    inference(avatar_split_clause,[],[f48111,f79902])).
% 59.37/10.00  tff(f79902,plain,(
% 59.37/10.00    spl2737_2641 <=> ! [X5 : bool,X4 : option(product_prod(nat,nat)),X0 : nat,X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (sP419(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP420(X0,X1,X2,X3,X4,X5))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2641])])).
% 59.37/10.00  tff(f48111,plain,(
% 59.37/10.00    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : nat,X1 : nat,X4 : option(product_prod(nat,nat)),X5 : bool] : (sP419(X4,X3,X2,X1,X0) | ~pp(X5) | ~sP420(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32934])).
% 59.37/10.00  tff(f79900,plain,(
% 59.37/10.00    spl2737_2640),
% 59.37/10.00    inference(avatar_split_clause,[],[f48107,f79898])).
% 59.37/10.00  tff(f79898,plain,(
% 59.37/10.00    spl2737_2640 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2210(X0,X1,X2),sK2211(X0,X1,X2)) = X2 | ~sP421(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2640])])).
% 59.37/10.00  tff(f48107,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2210(X0,X1,X2),sK2211(X0,X1,X2)) = X2 | ~sP421(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32932])).
% 59.37/10.00  tff(f32932,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2210(X0,X1,X2),sK2211(X0,X1,X2))),X0)) & (pp(X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ~pp(X1)) & vEBT_Leaf(sK2210(X0,X1,X2),sK2211(X0,X1,X2)) = X2) | ~sP421(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2210,sK2211])],[f32930,f32931])).
% 59.37/10.00  tff(f32931,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & (pp(X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ~pp(X1)) & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2210(X0,X1,X2),sK2211(X0,X1,X2))),X0)) & (pp(X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ~pp(X1)) & vEBT_Leaf(sK2210(X0,X1,X2),sK2211(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32930,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & (pp(X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ~pp(X1)) & vEBT_Leaf(X3,X4) = X2) | ~sP421(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32929])).
% 59.37/10.00  tff(f32929,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & (pp(X2) | one_one(nat) != X1) & (one_one(nat) = X1 | ~pp(X2)) & vEBT_Leaf(X3,X4) = X0) | ~sP421(X1,X2,X0))),
% 59.37/10.00    inference(flattening,[],[f32928])).
% 59.37/10.00  tff(f32928,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & ((pp(X2) | one_one(nat) != X1) & (one_one(nat) = X1 | ~pp(X2))) & vEBT_Leaf(X3,X4) = X0) | ~sP421(X1,X2,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27722])).
% 59.37/10.00  tff(f27722,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & (pp(X2) <=> one_one(nat) = X1) & vEBT_Leaf(X3,X4) = X0) | ~sP421(X1,X2,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP421])])).
% 59.37/10.00  tff(f79896,plain,(
% 59.37/10.00    spl2737_2639),
% 59.37/10.00    inference(avatar_split_clause,[],[f48084,f79894])).
% 59.37/10.00  tff(f79894,plain,(
% 59.37/10.00    spl2737_2639 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (sP415(sK2198(X0,X1,X2),X1,sK2197(X0,X1,X2),X0) | ~sP418(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2639])])).
% 59.37/10.00  tff(f48084,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (sP415(sK2198(X0,X1,X2),X1,sK2197(X0,X1,X2),X0) | ~sP418(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32907])).
% 59.37/10.00  tff(f32907,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : ((sP415(sK2198(X0,X1,X2),X1,sK2197(X0,X1,X2),X0) & vEBT_Leaf(sK2197(X0,X1,X2),sK2198(X0,X1,X2)) = X2) | ~sP418(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2197,sK2198])],[f32905,f32906])).
% 59.37/10.00  tff(f32906,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP415(X4,X1,X3,X0) & vEBT_Leaf(X3,X4) = X2) => (sP415(sK2198(X0,X1,X2),X1,sK2197(X0,X1,X2),X0) & vEBT_Leaf(sK2197(X0,X1,X2),sK2198(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32905,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP415(X4,X1,X3,X0) & vEBT_Leaf(X3,X4) = X2) | ~sP418(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32904])).
% 59.37/10.00  tff(f32904,plain,(
% 59.37/10.00    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP415(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP418(X2,X1,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27718])).
% 59.37/10.00  tff(f27718,plain,(
% 59.37/10.00    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (sP415(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP418(X2,X1,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP418])])).
% 59.37/10.00  tff(f79892,plain,(
% 59.37/10.00    spl2737_2638),
% 59.37/10.00    inference(avatar_split_clause,[],[f48083,f79890])).
% 59.37/10.00  tff(f79890,plain,(
% 59.37/10.00    spl2737_2638 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (vEBT_Leaf(sK2197(X0,X1,X2),sK2198(X0,X1,X2)) = X2 | ~sP418(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2638])])).
% 59.37/10.00  tff(f48083,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (vEBT_Leaf(sK2197(X0,X1,X2),sK2198(X0,X1,X2)) = X2 | ~sP418(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32907])).
% 59.37/10.00  tff(f79888,plain,(
% 59.37/10.00    spl2737_2637),
% 59.37/10.00    inference(avatar_split_clause,[],[f48066,f79886])).
% 59.37/10.00  tff(f79886,plain,(
% 59.37/10.00    spl2737_2637 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP409(sK2196(X0,X1,X2),X0,sK2195(X0,X1,X2),X1) | ~sP411(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2637])])).
% 59.37/10.00  tff(f48066,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP409(sK2196(X0,X1,X2),X0,sK2195(X0,X1,X2),X1) | ~sP411(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32893])).
% 59.37/10.00  tff(f32893,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2195(X0,X1,X2),sK2196(X0,X1,X2))),X0)) & sP409(sK2196(X0,X1,X2),X0,sK2195(X0,X1,X2),X1) & vEBT_Leaf(sK2195(X0,X1,X2),sK2196(X0,X1,X2)) = X2) | ~sP411(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2195,sK2196])],[f32891,f32892])).
% 59.37/10.00  tff(f32892,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & sP409(X4,X0,X3,X1) & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK2195(X0,X1,X2),sK2196(X0,X1,X2))),X0)) & sP409(sK2196(X0,X1,X2),X0,sK2195(X0,X1,X2),X1) & vEBT_Leaf(sK2195(X0,X1,X2),sK2196(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32891,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X0)) & sP409(X4,X0,X3,X1) & vEBT_Leaf(X3,X4) = X2) | ~sP411(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32890])).
% 59.37/10.00  tff(f32890,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & sP409(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP411(X1,X2,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27710])).
% 59.37/10.00  tff(f27710,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X3,X4)),X1)) & sP409(X4,X1,X3,X2) & vEBT_Leaf(X3,X4) = X0) | ~sP411(X1,X2,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP411])])).
% 59.37/10.00  tff(f79884,plain,(
% 59.37/10.00    spl2737_2636),
% 59.37/10.00    inference(avatar_split_clause,[],[f48065,f79882])).
% 59.37/10.00  tff(f79882,plain,(
% 59.37/10.00    spl2737_2636 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2195(X0,X1,X2),sK2196(X0,X1,X2)) = X2 | ~sP411(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2636])])).
% 59.37/10.00  tff(f48065,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2195(X0,X1,X2),sK2196(X0,X1,X2)) = X2 | ~sP411(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32893])).
% 59.37/10.00  tff(f79880,plain,(
% 59.37/10.00    spl2737_2635 | ~spl2737_810 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69302,f68901,f68269,f79877])).
% 59.37/10.00  tff(f79877,plain,(
% 59.37/10.00    spl2737_2635 <=> sP224(code_integer)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2635])])).
% 59.37/10.00  tff(f69302,plain,(
% 59.37/10.00    sP224(code_integer) | (~spl2737_810 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68271])).
% 59.37/10.00  tff(f79875,plain,(
% 59.37/10.00    spl2737_2634),
% 59.37/10.00    inference(avatar_split_clause,[],[f48060,f79873])).
% 59.37/10.00  tff(f79873,plain,(
% 59.37/10.00    spl2737_2634 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP410(sK2190(X0,X1,X2),sK2189(X0,X1,X2),X0,X1) | ~sP413(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2634])])).
% 59.37/10.00  tff(f48060,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sP410(sK2190(X0,X1,X2),sK2189(X0,X1,X2),X0,X1) | ~sP413(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32885])).
% 59.37/10.00  tff(f32885,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK2188(X0,X1,X2),aa(nat,nat,suc,sK2189(X0,X1,X2)),sK2190(X0,X1,X2),sK2191(X0,X1,X2))),X0)) & sP410(sK2190(X0,X1,X2),sK2189(X0,X1,X2),X0,X1) & vEBT_Node(sK2188(X0,X1,X2),aa(nat,nat,suc,sK2189(X0,X1,X2)),sK2190(X0,X1,X2),sK2191(X0,X1,X2)) = X2) | ~sP413(X0,X1,X2))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2188,sK2189,sK2190,sK2191])],[f32883,f32884])).
% 59.37/10.00  tff(f32884,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6)),X0)) & sP410(X5,X4,X0,X1) & vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK2188(X0,X1,X2),aa(nat,nat,suc,sK2189(X0,X1,X2)),sK2190(X0,X1,X2),sK2191(X0,X1,X2))),X0)) & sP410(sK2190(X0,X1,X2),sK2189(X0,X1,X2),X0,X1) & vEBT_Node(sK2188(X0,X1,X2),aa(nat,nat,suc,sK2189(X0,X1,X2)),sK2190(X0,X1,X2),sK2191(X0,X1,X2)) = X2))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32883,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6)),X0)) & sP410(X5,X4,X0,X1) & vEBT_Node(X3,aa(nat,nat,suc,X4),X5,X6) = X2) | ~sP413(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32882])).
% 59.37/10.00  tff(f32882,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11)),X1)) & sP410(X10,X9,X1,X2) & vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | ~sP413(X1,X2,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27712])).
% 59.37/10.00  tff(f27712,plain,(
% 59.37/10.00    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X8 : option(product_prod(nat,nat)),X9 : nat,X10 : list(vEBT_VEBT),X11 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11)),X1)) & sP410(X10,X9,X1,X2) & vEBT_Node(X8,aa(nat,nat,suc,X9),X10,X11) = X0) | ~sP413(X1,X2,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP413])])).
% 59.37/10.00  tff(f79871,plain,(
% 59.37/10.00    spl2737_2633),
% 59.37/10.00    inference(avatar_split_clause,[],[f47692,f79869])).
% 59.37/10.00  tff(f79869,plain,(
% 59.37/10.00    spl2737_2633 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,aa(nat,nat,suc,sK2099(X0,X1)))) | ~sP391(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2633])])).
% 59.37/10.00  tff(f47692,plain,(
% 59.37/10.00    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,aa(nat,nat,suc,sK2099(X0,X1)))) | ~sP391(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32713])).
% 59.37/10.00  tff(f79867,plain,(
% 59.37/10.00    spl2737_2632),
% 59.37/10.00    inference(avatar_split_clause,[],[f47538,f79865])).
% 59.37/10.00  tff(f79865,plain,(
% 59.37/10.00    spl2737_2632 <=> ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (one_one(nat) = aa(X1,nat,X0,sK2073(X1,X0,X2)) | ~sP386(X1,X0,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2632])])).
% 59.37/10.00  tff(f47538,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : set(X1),X0 : fun(X1,nat)] : (one_one(nat) = aa(X1,nat,X0,sK2073(X1,X0,X2)) | ~sP386(X1,X0,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32651])).
% 59.37/10.00  tff(f32651,plain,(
% 59.37/10.00    ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP386(X1,X0,X2) | ! [X3 : X1] : ((zero_zero(nat) != aa(X1,nat,X0,sK2072(X1,X0,X2,X3)) & sK2072(X1,X0,X2,X3) != X3 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2072(X1,X0,X2,X3)),X2))) | one_one(nat) != aa(X1,nat,X0,X3) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X2)))) & ((! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK2073(X1,X0,X2) = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & one_one(nat) = aa(X1,nat,X0,sK2073(X1,X0,X2)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2073(X1,X0,X2)),X2))) | ~sP386(X1,X0,X2)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2072,sK2073])],[f32648,f32650,f32649])).
% 59.37/10.00  tff(f32649,plain,(
% 59.37/10.00    ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1),X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X2))) => (zero_zero(nat) != aa(X1,nat,X0,sK2072(X1,X0,X2,X3)) & sK2072(X1,X0,X2,X3) != X3 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2072(X1,X0,X2,X3)),X2))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32650,plain,(
% 59.37/10.00    ! [X1 : $tType,X0 : fun(X1,nat),X2 : set(X1)] : (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & one_one(nat) = aa(X1,nat,X0,X5) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X2))) => (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | sK2073(X1,X0,X2) = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & one_one(nat) = aa(X1,nat,X0,sK2073(X1,X0,X2)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2073(X1,X0,X2)),X2))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32648,plain,(
% 59.37/10.00    ! [X0 : fun(X1,nat),X1 : $tType,X2 : set(X1)] : ((sP386(X1,X0,X2) | ! [X3 : X1] : (? [X4 : X1] : (zero_zero(nat) != aa(X1,nat,X0,X4) & X3 != X4 & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X2))) | one_one(nat) != aa(X1,nat,X0,X3) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X2)))) & (? [X5 : X1] : (! [X6 : X1] : (zero_zero(nat) = aa(X1,nat,X0,X6) | X5 = X6 | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),X2))) & one_one(nat) = aa(X1,nat,X0,X5) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X2))) | ~sP386(X1,X0,X2)))),
% 59.37/10.00    inference(rectify,[],[f32647])).
% 59.37/10.00  tff(f32647,plain,(
% 59.37/10.00    ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : ((sP386(X0,X2,X1) | ! [X3 : X0] : (? [X4 : X0] : (zero_zero(nat) != aa(X0,nat,X2,X4) & X3 != X4 & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) | one_one(nat) != aa(X0,nat,X2,X3) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))) & (? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & one_one(nat) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) | ~sP386(X0,X2,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27673])).
% 59.37/10.00  tff(f27673,plain,(
% 59.37/10.00    ! [X2 : fun(X0,nat),X0 : $tType,X1 : set(X0)] : (sP386(X0,X2,X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & one_one(nat) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP386])])).
% 59.37/10.00  tff(f79863,plain,(
% 59.37/10.00    spl2737_2631),
% 59.37/10.00    inference(avatar_split_clause,[],[f47308,f79861])).
% 59.37/10.00  tff(f79861,plain,(
% 59.37/10.00    spl2737_2631 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(fun(X0,bool),bool,fEx(X0),X1)) | ~pp(aa(X0,bool,X1,X2)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2631])])).
% 59.37/10.00  tff(f47308,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(fun(X0,bool),bool,fEx(X0),X1)) | ~pp(aa(X0,bool,X1,X2))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f16952])).
% 59.37/10.00  tff(f16952,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (pp(aa(fun(X0,bool),bool,fEx(X0),X1)) | ~pp(aa(X0,bool,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f9874])).
% 59.37/10.00  tff(f9874,axiom,(
% 59.37/10.00    ! [X0 : $tType,X17 : fun(X0,bool),X14 : X0] : (pp(aa(fun(X0,bool),bool,fEx(X0),X17)) | ~pp(aa(X0,bool,X17,X14)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fEx_1_1_U)).
% 59.37/10.00  tff(f79854,plain,(
% 59.37/10.00    spl2737_2630 | ~spl2737_2629),
% 59.37/10.00    inference(avatar_split_clause,[],[f79850,f79847,f79852])).
% 59.37/10.00  tff(f79847,plain,(
% 59.37/10.00    spl2737_2629 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2629])])).
% 59.37/10.00  tff(f79850,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),sK1993(X0,X1)))) ) | ~spl2737_2629),
% 59.37/10.00    inference(forward_demodulation,[],[f79848,f50171])).
% 59.37/10.00  tff(f79848,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X1))) ) | ~spl2737_2629),
% 59.37/10.00    inference(avatar_component_clause,[],[f79847])).
% 59.37/10.00  tff(f79849,plain,(
% 59.37/10.00    spl2737_2629),
% 59.37/10.00    inference(avatar_split_clause,[],[f47070,f79847])).
% 59.37/10.00  tff(f47070,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32490])).
% 59.37/10.00  tff(f32490,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((sK1993(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1994(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1995(X0,X1))) | sK1993(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1994(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1995(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X0)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1993,sK1994,sK1995])],[f16728,f32489])).
% 59.37/10.00  tff(f32489,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : (? [X2 : nat,X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X4)) = X2 | aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)) = X2) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0))) => ((sK1993(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1994(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1995(X0,X1))) | sK1993(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1994(X0,X1))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1995(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X0))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f16728,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ? [X2 : nat,X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X4)) = X2 | aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X3)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)) = X2) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0)))),
% 59.37/10.00    inference(rectify,[],[f2897])).
% 59.37/10.00  tff(f2897,axiom,(
% 59.37/10.00    ! [X7 : nat,X49 : nat] : ? [X98 : nat,X20 : nat,X21 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X49),X20)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),X21)) = X98 | aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),X20)),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X49),X21)) = X98) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X98),X49)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X98),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2896_bezout1__nat)).
% 59.37/10.00  tff(f79840,plain,(
% 59.37/10.00    spl2737_2628 | ~spl2737_2627),
% 59.37/10.00    inference(avatar_split_clause,[],[f79836,f79833,f79838])).
% 59.37/10.00  tff(f79833,plain,(
% 59.37/10.00    spl2737_2627 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2627])])).
% 59.37/10.00  tff(f79836,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),sK1993(X0,X1)))) ) | ~spl2737_2627),
% 59.37/10.00    inference(forward_demodulation,[],[f79834,f50171])).
% 59.37/10.00  tff(f79834,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X0))) ) | ~spl2737_2627),
% 59.37/10.00    inference(avatar_component_clause,[],[f79833])).
% 59.37/10.00  tff(f79835,plain,(
% 59.37/10.00    spl2737_2627),
% 59.37/10.00    inference(avatar_split_clause,[],[f47069,f79833])).
% 59.37/10.00  tff(f47069,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1993(X0,X1)),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32490])).
% 59.37/10.00  tff(f79831,plain,(
% 59.37/10.00    spl2737_2626 | ~spl2737_809 | ~spl2737_961),
% 59.37/10.00    inference(avatar_split_clause,[],[f69301,f68901,f68264,f79828])).
% 59.37/10.00  tff(f79828,plain,(
% 59.37/10.00    spl2737_2626 <=> sP224(code_natural)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2626])])).
% 59.37/10.00  tff(f69301,plain,(
% 59.37/10.00    sP224(code_natural) | (~spl2737_809 | ~spl2737_961)),
% 59.37/10.00    inference(resolution,[],[f68902,f68266])).
% 59.37/10.00  tff(f79821,plain,(
% 59.37/10.00    spl2737_2625 | ~spl2737_2624),
% 59.37/10.00    inference(avatar_split_clause,[],[f79817,f79814,f79819])).
% 59.37/10.00  tff(f79814,plain,(
% 59.37/10.00    spl2737_2624 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2624])])).
% 59.37/10.00  tff(f79817,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X1),sK1990(X0,X1)))) ) | ~spl2737_2624),
% 59.37/10.00    inference(forward_demodulation,[],[f79815,f50171])).
% 59.37/10.00  tff(f79815,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X1))) ) | ~spl2737_2624),
% 59.37/10.00    inference(avatar_component_clause,[],[f79814])).
% 59.37/10.00  tff(f79816,plain,(
% 59.37/10.00    spl2737_2624),
% 59.37/10.00    inference(avatar_split_clause,[],[f47067,f79814])).
% 59.37/10.00  tff(f47067,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32488])).
% 59.37/10.00  tff(f32488,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1991(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1992(X0,X1))),sK1990(X0,X1)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1991(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1992(X0,X1))),sK1990(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X0)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1990,sK1991,sK1992])],[f16727,f32487])).
% 59.37/10.00  tff(f32487,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : (? [X2 : nat,X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X4)),X2) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X3) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0))) => ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1991(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1992(X0,X1))),sK1990(X0,X1)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK1991(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK1992(X0,X1))),sK1990(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X0))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f16727,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ? [X2 : nat,X3 : nat,X4 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X4)),X2) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),X3) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X2),X0)))),
% 59.37/10.00    inference(rectify,[],[f2896])).
% 59.37/10.00  tff(f2896,axiom,(
% 59.37/10.00    ! [X7 : nat,X49 : nat] : ? [X98 : nat,X20 : nat,X21 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X49),X20) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),X21)),X98) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X7),X20) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X49),X21)),X98)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X98),X49)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X98),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2895_bezout__add__nat)).
% 59.37/10.00  tff(f79807,plain,(
% 59.37/10.00    spl2737_2623 | ~spl2737_2622),
% 59.37/10.00    inference(avatar_split_clause,[],[f79803,f79800,f79805])).
% 59.37/10.00  tff(f79800,plain,(
% 59.37/10.00    spl2737_2622 <=> ! [X0 : nat,X1 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2622])])).
% 59.37/10.00  tff(f79803,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),sK1990(X0,X1)))) ) | ~spl2737_2622),
% 59.37/10.00    inference(forward_demodulation,[],[f79801,f50171])).
% 59.37/10.00  tff(f79801,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X0))) ) | ~spl2737_2622),
% 59.37/10.00    inference(avatar_component_clause,[],[f79800])).
% 59.37/10.00  tff(f79802,plain,(
% 59.37/10.00    spl2737_2622),
% 59.37/10.00    inference(avatar_split_clause,[],[f47066,f79800])).
% 59.37/10.00  tff(f47066,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),sK1990(X0,X1)),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32488])).
% 59.37/10.00  tff(f79785,plain,(
% 59.37/10.00    spl2737_2621 | ~spl2737_2620),
% 59.37/10.00    inference(avatar_split_clause,[],[f79781,f79778,f79783])).
% 59.37/10.00  tff(f79783,plain,(
% 59.37/10.00    spl2737_2621 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X1),X0)) | ~vEBT_VEBT_membermima(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2621])])).
% 59.37/10.00  tff(f79778,plain,(
% 59.37/10.00    spl2737_2620 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | ~vEBT_VEBT_membermima(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2620])])).
% 59.37/10.00  tff(f79781,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X1),X0)) | ~vEBT_VEBT_membermima(X0,X1)) ) | ~spl2737_2620),
% 59.37/10.00    inference(forward_demodulation,[],[f79779,f50171])).
% 59.37/10.00  tff(f79779,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | ~vEBT_VEBT_membermima(X0,X1)) ) | ~spl2737_2620),
% 59.37/10.00    inference(avatar_component_clause,[],[f79778])).
% 59.37/10.00  tff(f79780,plain,(
% 59.37/10.00    spl2737_2620),
% 59.37/10.00    inference(avatar_split_clause,[],[f46504,f79778])).
% 59.37/10.00  tff(f46504,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | ~vEBT_VEBT_membermima(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32125])).
% 59.37/10.00  tff(f79763,plain,(
% 59.37/10.00    spl2737_2619 | ~spl2737_803 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69300,f68897,f68234,f79760])).
% 59.37/10.00  tff(f79760,plain,(
% 59.37/10.00    spl2737_2619 <=> sP216(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2619])])).
% 59.37/10.00  tff(f68234,plain,(
% 59.37/10.00    spl2737_803 <=> preorder(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_803])])).
% 59.37/10.00  tff(f68897,plain,(
% 59.37/10.00    spl2737_960 <=> ! [X0 : $tType] : (sP216(X0) | ~preorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_960])])).
% 59.37/10.00  tff(f69300,plain,(
% 59.37/10.00    sP216(int) | (~spl2737_803 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68236])).
% 59.37/10.00  tff(f68236,plain,(
% 59.37/10.00    preorder(int) | ~spl2737_803),
% 59.37/10.00    inference(avatar_component_clause,[],[f68234])).
% 59.37/10.00  tff(f68898,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~preorder(X0) | sP216(X0)) ) | ~spl2737_960),
% 59.37/10.00    inference(avatar_component_clause,[],[f68897])).
% 59.37/10.00  tff(f79758,plain,(
% 59.37/10.00    spl2737_2618 | ~spl2737_2617),
% 59.37/10.00    inference(avatar_split_clause,[],[f79754,f79751,f79756])).
% 59.37/10.00  tff(f79756,plain,(
% 59.37/10.00    spl2737_2618 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X1),X0)) | ~vEBT_V5719532721284313246member(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2618])])).
% 59.37/10.00  tff(f79751,plain,(
% 59.37/10.00    spl2737_2617 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | ~vEBT_V5719532721284313246member(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2617])])).
% 59.37/10.00  tff(f79754,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X1),X0)) | ~vEBT_V5719532721284313246member(X0,X1)) ) | ~spl2737_2617),
% 59.37/10.00    inference(forward_demodulation,[],[f79752,f50171])).
% 59.37/10.00  tff(f79752,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | ~vEBT_V5719532721284313246member(X0,X1)) ) | ~spl2737_2617),
% 59.37/10.00    inference(avatar_component_clause,[],[f79751])).
% 59.37/10.00  tff(f79753,plain,(
% 59.37/10.00    spl2737_2617),
% 59.37/10.00    inference(avatar_split_clause,[],[f46503,f79751])).
% 59.37/10.00  tff(f46503,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT,X1 : nat] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | ~vEBT_V5719532721284313246member(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32125])).
% 59.37/10.00  tff(f79749,plain,(
% 59.37/10.00    spl2737_2616),
% 59.37/10.00    inference(avatar_split_clause,[],[f46444,f79747])).
% 59.37/10.00  tff(f79747,plain,(
% 59.37/10.00    spl2737_2616 <=> ! [X0 : real,X1 : real] : (zero_zero(real) = X1 | aa(complex,complex,uminus_uminus(complex),one_one(complex)) != complex2(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2616])])).
% 59.37/10.00  tff(f46444,plain,(
% 59.37/10.00    ( ! [X0 : real,X1 : real] : (zero_zero(real) = X1 | aa(complex,complex,uminus_uminus(complex),one_one(complex)) != complex2(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32088])).
% 59.37/10.00  tff(f79745,plain,(
% 59.37/10.00    spl2737_2615),
% 59.37/10.00    inference(avatar_split_clause,[],[f46440,f79743])).
% 59.37/10.00  tff(f79743,plain,(
% 59.37/10.00    spl2737_2615 <=> ! [X0 : $tType,X1 : list(X0)] : (pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),X1)) | nil(X0) = X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2615])])).
% 59.37/10.00  tff(f46440,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : list(X0)] : (pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),X1)) | nil(X0) = X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32085])).
% 59.37/10.00  tff(f32085,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : ((pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),X1)) | nil(X0) = X1) & (nil(X0) != X1 | ~pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),X1))))),
% 59.37/10.00    inference(nnf_transformation,[],[f16488])).
% 59.37/10.00  tff(f16488,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : (pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),X1)) <=> nil(X0) != X1)),
% 59.37/10.00    inference(rectify,[],[f8146])).
% 59.37/10.00  tff(f8146,axiom,(
% 59.37/10.00    ! [X0 : $tType,X94 : list(X0)] : (pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),X94)) <=> nil(X0) != X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8145_ATP_Olambda__30)).
% 59.37/10.00  tff(f79741,plain,(
% 59.37/10.00    spl2737_2614),
% 59.37/10.00    inference(avatar_split_clause,[],[f46438,f79739])).
% 59.37/10.00  tff(f79739,plain,(
% 59.37/10.00    spl2737_2614 <=> ! [X0 : $tType,X1 : list(X0)] : (pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),X1)) | nil(X0) = X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2614])])).
% 59.37/10.00  tff(f46438,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : list(X0)] : (pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),X1)) | nil(X0) = X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32084])).
% 59.37/10.00  tff(f32084,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : ((pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),X1)) | nil(X0) = X1) & (nil(X0) != X1 | ~pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),X1))))),
% 59.37/10.00    inference(nnf_transformation,[],[f16487])).
% 59.37/10.00  tff(f16487,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : (pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),X1)) <=> nil(X0) != X1)),
% 59.37/10.00    inference(rectify,[],[f8145])).
% 59.37/10.00  tff(f8145,axiom,(
% 59.37/10.00    ! [X1 : $tType,X94 : list(X1)] : (pp(aa(list(X1),bool,aTP_Lamp_oc(list(X1),bool),X94)) <=> nil(X1) != X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8144_ATP_Olambda__29)).
% 59.37/10.00  tff(f79737,plain,(
% 59.37/10.00    spl2737_2613),
% 59.37/10.00    inference(avatar_split_clause,[],[f45959,f79735])).
% 59.37/10.00  tff(f79735,plain,(
% 59.37/10.00    spl2737_2613 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,bool)] : (pp(aa(X2,bool,X3,sK1790(X1,X2,X0,X3))) | ~sP322(X1,X2,X0,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2613])])).
% 59.37/10.00  tff(f45959,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,bool),X0 : fun(X2,X1)] : (pp(aa(X2,bool,X3,sK1790(X1,X2,X0,X3))) | ~sP322(X1,X2,X0,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31716])).
% 59.37/10.00  tff(f31716,plain,(
% 59.37/10.00    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,bool)] : ((~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,sK1789(X1,X2,X0,X3))),aa(X2,X1,X0,sK1790(X1,X2,X0,X3)))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),sK1789(X1,X2,X0,X3)),sK1790(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1790(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1789(X1,X2,X0,X3)))) | ~sP322(X1,X2,X0,X3))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1789,sK1790])],[f31714,f31715])).
% 59.37/10.00  tff(f31715,plain,(
% 59.37/10.00    ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X2,bool)] : (? [X4 : X2,X5 : X2] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X4),X5)) & pp(aa(X2,bool,X3,X5)) & pp(aa(X2,bool,X3,X4))) => (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,sK1789(X1,X2,X0,X3))),aa(X2,X1,X0,sK1790(X1,X2,X0,X3)))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),sK1789(X1,X2,X0,X3)),sK1790(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1790(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1789(X1,X2,X0,X3)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f31714,plain,(
% 59.37/10.00    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,bool)] : (? [X4 : X2,X5 : X2] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X4),X5)) & pp(aa(X2,bool,X3,X5)) & pp(aa(X2,bool,X3,X4))) | ~sP322(X1,X2,X0,X3))),
% 59.37/10.00    inference(rectify,[],[f31713])).
% 59.37/10.00  tff(f31713,plain,(
% 59.37/10.00    ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,bool)] : (? [X7 : X1,X8 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X7),X8)) & pp(aa(X1,bool,X2,X8)) & pp(aa(X1,bool,X2,X7))) | ~sP322(X0,X1,X3,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27578])).
% 59.37/10.00  tff(f27578,plain,(
% 59.37/10.00    ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,bool)] : (? [X7 : X1,X8 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X7),X8)) & pp(aa(X1,bool,X2,X8)) & pp(aa(X1,bool,X2,X7))) | ~sP322(X0,X1,X3,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP322])])).
% 59.37/10.00  tff(f79733,plain,(
% 59.37/10.00    spl2737_2612),
% 59.37/10.00    inference(avatar_split_clause,[],[f45958,f79731])).
% 59.37/10.00  tff(f79731,plain,(
% 59.37/10.00    spl2737_2612 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,bool)] : (pp(aa(X2,bool,X3,sK1789(X1,X2,X0,X3))) | ~sP322(X1,X2,X0,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2612])])).
% 59.37/10.00  tff(f45958,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,bool),X0 : fun(X2,X1)] : (pp(aa(X2,bool,X3,sK1789(X1,X2,X0,X3))) | ~sP322(X1,X2,X0,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31716])).
% 59.37/10.00  tff(f79729,plain,(
% 59.37/10.00    spl2737_2611),
% 59.37/10.00    inference(avatar_split_clause,[],[f45949,f79727])).
% 59.37/10.00  tff(f79727,plain,(
% 59.37/10.00    spl2737_2611 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,bool)] : (pp(aa(X2,bool,X3,sK1785(X1,X2,X0,X3))) | ~sP320(X1,X2,X0,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2611])])).
% 59.37/10.00  tff(f45949,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,bool),X0 : fun(X2,X1)] : (pp(aa(X2,bool,X3,sK1785(X1,X2,X0,X3))) | ~sP320(X1,X2,X0,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31704])).
% 59.37/10.00  tff(f31704,plain,(
% 59.37/10.00    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,bool)] : ((~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,sK1784(X1,X2,X0,X3))),aa(X2,X1,X0,sK1785(X1,X2,X0,X3)))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),sK1784(X1,X2,X0,X3)),sK1785(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1785(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1784(X1,X2,X0,X3)))) | ~sP320(X1,X2,X0,X3))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1784,sK1785])],[f31702,f31703])).
% 59.37/10.00  tff(f31703,plain,(
% 59.37/10.00    ! [X2 : $tType,X1 : $tType,X0 : fun(X2,X1),X3 : fun(X2,bool)] : (? [X4 : X2,X5 : X2] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X4),X5)) & pp(aa(X2,bool,X3,X5)) & pp(aa(X2,bool,X3,X4))) => (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,sK1784(X1,X2,X0,X3))),aa(X2,X1,X0,sK1785(X1,X2,X0,X3)))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),sK1784(X1,X2,X0,X3)),sK1785(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1785(X1,X2,X0,X3))) & pp(aa(X2,bool,X3,sK1784(X1,X2,X0,X3)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f31702,plain,(
% 59.37/10.00    ! [X0 : fun(X2,X1),X1 : $tType,X2 : $tType,X3 : fun(X2,bool)] : (? [X4 : X2,X5 : X2] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),aa(X2,X1,X0,X4)),aa(X2,X1,X0,X5))) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X4),X5)) & pp(aa(X2,bool,X3,X5)) & pp(aa(X2,bool,X3,X4))) | ~sP320(X1,X2,X0,X3))),
% 59.37/10.00    inference(rectify,[],[f31701])).
% 59.37/10.00  tff(f31701,plain,(
% 59.37/10.00    ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,bool)] : (? [X7 : X1,X8 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X7),X8)) & pp(aa(X1,bool,X2,X8)) & pp(aa(X1,bool,X2,X7))) | ~sP320(X0,X1,X3,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27575])).
% 59.37/10.00  tff(f27575,plain,(
% 59.37/10.00    ! [X3 : fun(X1,X0),X0 : $tType,X1 : $tType,X2 : fun(X1,bool)] : (? [X7 : X1,X8 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X1,X0,X3,X7)),aa(X1,X0,X3,X8))) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X7),X8)) & pp(aa(X1,bool,X2,X8)) & pp(aa(X1,bool,X2,X7))) | ~sP320(X0,X1,X3,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP320])])).
% 59.37/10.00  tff(f79725,plain,(
% 59.37/10.00    spl2737_2610),
% 59.37/10.00    inference(avatar_split_clause,[],[f45948,f79723])).
% 59.37/10.00  tff(f79723,plain,(
% 59.37/10.00    spl2737_2610 <=> ! [X1 : $tType,X2 : $tType,X0 : fun(X2,X1),X3 : fun(X2,bool)] : (pp(aa(X2,bool,X3,sK1784(X1,X2,X0,X3))) | ~sP320(X1,X2,X0,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2610])])).
% 59.37/10.00  tff(f45948,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : $tType,X3 : fun(X2,bool),X0 : fun(X2,X1)] : (pp(aa(X2,bool,X3,sK1784(X1,X2,X0,X3))) | ~sP320(X1,X2,X0,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31704])).
% 59.37/10.00  tff(f79721,plain,(
% 59.37/10.00    spl2737_2609),
% 59.37/10.00    inference(avatar_split_clause,[],[f45228,f79719])).
% 59.37/10.00  tff(f79719,plain,(
% 59.37/10.00    spl2737_2609 <=> ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,nat,sK1695(X0,X1),X1) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2609])])).
% 59.37/10.00  tff(f45228,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,nat,sK1695(X0,X1),X1) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31443])).
% 59.37/10.00  tff(f31443,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((inj_on(X0,nat,sK1695(X0,X1),X1) & collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),sK1696(X0,X1))) = image(X0,nat,sK1695(X0,X1),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1695,sK1696])],[f24472,f31442])).
% 59.37/10.00  tff(f31442,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(X0,nat),X3 : nat] : (inj_on(X0,nat,X2,X1) & collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X3)) = image(X0,nat,X2,X1)) => (inj_on(X0,nat,sK1695(X0,X1),X1) & collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),sK1696(X0,X1))) = image(X0,nat,sK1695(X0,X1),X1)))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f24472,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(X0,nat),X3 : nat] : (inj_on(X0,nat,X2,X1) & collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X3)) = image(X0,nat,X2,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.00    inference(ennf_transformation,[],[f15797])).
% 59.37/10.00  tff(f15797,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) => ? [X2 : fun(X0,nat),X3 : nat] : (inj_on(X0,nat,X2,X1) & collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X3)) = image(X0,nat,X2,X1)))),
% 59.37/10.00    inference(rectify,[],[f6214])).
% 59.37/10.00  tff(f6214,axiom,(
% 59.37/10.00    ! [X0 : $tType,X30 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X30)) => ? [X43 : fun(X0,nat),X19 : nat] : (inj_on(X0,nat,X43,X30) & collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X19)) = image(X0,nat,X43,X30)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6213_finite__imp__inj__to__nat__seg)).
% 59.37/10.00  tff(f79717,plain,(
% 59.37/10.00    spl2737_2608 | ~spl2737_805 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69299,f68897,f68244,f79714])).
% 59.37/10.00  tff(f79714,plain,(
% 59.37/10.00    spl2737_2608 <=> sP216(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2608])])).
% 59.37/10.00  tff(f68244,plain,(
% 59.37/10.00    spl2737_805 <=> preorder(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_805])])).
% 59.37/10.00  tff(f69299,plain,(
% 59.37/10.00    sP216(nat) | (~spl2737_805 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68246])).
% 59.37/10.00  tff(f68246,plain,(
% 59.37/10.00    preorder(nat) | ~spl2737_805),
% 59.37/10.00    inference(avatar_component_clause,[],[f68244])).
% 59.37/10.00  tff(f79712,plain,(
% 59.37/10.00    spl2737_2607),
% 59.37/10.00    inference(avatar_split_clause,[],[f45088,f79710])).
% 59.37/10.00  tff(f79710,plain,(
% 59.37/10.00    spl2737_2607 <=> ! [X0 : fun(nat,real),X1 : real] : (sums(real,aTP_Lamp_dc(fun(nat,real),fun(nat,real),X0),X1) | ~sums(real,X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2607])])).
% 59.37/10.00  tff(f45088,plain,(
% 59.37/10.00    ( ! [X0 : fun(nat,real),X1 : real] : (sums(real,aTP_Lamp_dc(fun(nat,real),fun(nat,real),X0),X1) | ~sums(real,X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f24401])).
% 59.37/10.00  tff(f24401,plain,(
% 59.37/10.00    ! [X0 : fun(nat,real),X1 : real] : (sums(real,aTP_Lamp_dc(fun(nat,real),fun(nat,real),X0),X1) | ~sums(real,X0,X1))),
% 59.37/10.00    inference(ennf_transformation,[],[f15750])).
% 59.37/10.00  tff(f15750,plain,(
% 59.37/10.00    ! [X0 : fun(nat,real),X1 : real] : (sums(real,X0,X1) => sums(real,aTP_Lamp_dc(fun(nat,real),fun(nat,real),X0),X1))),
% 59.37/10.00    inference(rectify,[],[f3780])).
% 59.37/10.00  tff(f3780,axiom,(
% 59.37/10.00    ! [X33 : fun(nat,real),X14 : real] : (sums(real,X33,X14) => sums(real,aTP_Lamp_dc(fun(nat,real),fun(nat,real),X33),X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3779_sums__if_H)).
% 59.37/10.00  tff(f79708,plain,(
% 59.37/10.00    spl2737_2606),
% 59.37/10.00    inference(avatar_split_clause,[],[f44901,f79706])).
% 59.37/10.00  tff(f79706,plain,(
% 59.37/10.00    spl2737_2606 <=> ! [X0 : $tType,X1 : fun(X0,X0)] : (top_top(set(X0)) = image(X0,X0,X1,top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2606])])).
% 59.37/10.00  tff(f44901,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(X0,X0)] : (top_top(set(X0)) = image(X0,X0,X1,top_top(set(X0))) | ~hilbert_bijection(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f24335])).
% 59.37/10.00  tff(f24335,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,X0)] : (top_top(set(X0)) = image(X0,X0,X1,top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/10.00    inference(ennf_transformation,[],[f15705])).
% 59.37/10.00  tff(f15705,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,X0)] : (hilbert_bijection(X0,X1) => top_top(set(X0)) = image(X0,X0,X1,top_top(set(X0))))),
% 59.37/10.00    inference(rectify,[],[f7460])).
% 59.37/10.00  tff(f7460,axiom,(
% 59.37/10.00    ! [X0 : $tType,X32 : fun(X0,X0)] : (hilbert_bijection(X0,X32) => top_top(set(X0)) = image(X0,X0,X32,top_top(set(X0))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7459_bijection_Osurj)).
% 59.37/10.00  tff(f79704,plain,(
% 59.37/10.00    spl2737_2605),
% 59.37/10.00    inference(avatar_split_clause,[],[f43562,f79702])).
% 59.37/10.00  tff(f43562,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : list(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),aa(list(X0),set(X0),set2(X0),X1)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14745])).
% 59.37/10.00  tff(f14745,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : pp(aa(set(X0),bool,finite_finite(X0),aa(list(X0),set(X0),set2(X0),X1)))),
% 59.37/10.00    inference(rectify,[],[f4070])).
% 59.37/10.00  tff(f4070,axiom,(
% 59.37/10.00    ! [X0 : $tType,X123 : list(X0)] : pp(aa(set(X0),bool,finite_finite(X0),aa(list(X0),set(X0),set2(X0),X123)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4069_List_Ofinite__set)).
% 59.37/10.00  tff(f79700,plain,(
% 59.37/10.00    spl2737_2604),
% 59.37/10.00    inference(avatar_split_clause,[],[f43561,f79698])).
% 59.37/10.00  tff(f79698,plain,(
% 59.37/10.00    spl2737_2604 <=> ! [X0 : $tType,X1 : X0] : aa(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),aTP_Lamp_afk(X0,X0)),X1) = X1),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2604])])).
% 59.37/10.00  tff(f43561,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),aTP_Lamp_afk(X0,X0)),X1) = X1) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14744])).
% 59.37/10.00  tff(f14744,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0] : aa(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),aTP_Lamp_afk(X0,X0)),X1) = X1),
% 59.37/10.00    inference(rectify,[],[f7410])).
% 59.37/10.00  tff(f7410,axiom,(
% 59.37/10.00    ! [X0 : $tType,X63 : X0] : aa(X0,X0,hilbert_inv_into(X0,X0,top_top(set(X0)),aTP_Lamp_afk(X0,X0)),X63) = X63),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7409_inv__identity)).
% 59.37/10.00  tff(f79696,plain,(
% 59.37/10.00    spl2737_2603),
% 59.37/10.00    inference(avatar_split_clause,[],[f43560,f79694])).
% 59.37/10.00  tff(f79694,plain,(
% 59.37/10.00    spl2737_2603 <=> ! [X0 : nat,X1 : nat] : aa(nat,nat,aTP_Lamp_ou(nat,fun(nat,nat),X0),X1) = modulo_modulo(nat,X1,X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2603])])).
% 59.37/10.00  tff(f43560,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,aTP_Lamp_ou(nat,fun(nat,nat),X0),X1) = modulo_modulo(nat,X1,X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14743])).
% 59.37/10.00  tff(f14743,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : aa(nat,nat,aTP_Lamp_ou(nat,fun(nat,nat),X0),X1) = modulo_modulo(nat,X1,X0)),
% 59.37/10.00    inference(rectify,[],[f8309])).
% 59.37/10.00  tff(f8309,axiom,(
% 59.37/10.00    ! [X94 : nat,X353 : nat] : aa(nat,nat,aTP_Lamp_ou(nat,fun(nat,nat),X94),X353) = modulo_modulo(nat,X353,X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8308_ATP_Olambda__193)).
% 59.37/10.00  tff(f79692,plain,(
% 59.37/10.00    spl2737_2602),
% 59.37/10.00    inference(avatar_split_clause,[],[f43559,f79690])).
% 59.37/10.00  tff(f79690,plain,(
% 59.37/10.00    spl2737_2602 <=> ! [X0 : real,X1 : real] : aa(real,real,aTP_Lamp_py(real,fun(real,real),X0),X1) = powr(real,X1,X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2602])])).
% 59.37/10.00  tff(f43559,plain,(
% 59.37/10.00    ( ! [X0 : real,X1 : real] : (aa(real,real,aTP_Lamp_py(real,fun(real,real),X0),X1) = powr(real,X1,X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14742])).
% 59.37/10.00  tff(f14742,plain,(
% 59.37/10.00    ! [X0 : real,X1 : real] : aa(real,real,aTP_Lamp_py(real,fun(real,real),X0),X1) = powr(real,X1,X0)),
% 59.37/10.00    inference(rectify,[],[f8334])).
% 59.37/10.00  tff(f8334,axiom,(
% 59.37/10.00    ! [X94 : real,X353 : real] : aa(real,real,aTP_Lamp_py(real,fun(real,real),X94),X353) = powr(real,X353,X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8333_ATP_Olambda__218)).
% 59.37/10.00  tff(f79688,plain,(
% 59.37/10.00    spl2737_2601),
% 59.37/10.00    inference(avatar_split_clause,[],[f43558,f79686])).
% 59.37/10.00  tff(f79686,plain,(
% 59.37/10.00    spl2737_2601 <=> ! [X0 : $tType,X1 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_adt(X0,fun(nat,nat)),X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2601])])).
% 59.37/10.00  tff(f43558,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (suc = aa(X0,fun(nat,nat),aTP_Lamp_adt(X0,fun(nat,nat)),X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14741])).
% 59.37/10.00  tff(f14741,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_adt(X0,fun(nat,nat)),X1)),
% 59.37/10.00    inference(rectify,[],[f8978])).
% 59.37/10.00  tff(f8978,axiom,(
% 59.37/10.00    ! [X0 : $tType,X94 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_adt(X0,fun(nat,nat)),X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8977_ATP_Olambda__862)).
% 59.37/10.00  tff(f79684,plain,(
% 59.37/10.00    spl2737_2600),
% 59.37/10.00    inference(avatar_split_clause,[],[f43557,f79682])).
% 59.37/10.00  tff(f79682,plain,(
% 59.37/10.00    spl2737_2600 <=> ! [X0 : $tType,X1 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_ads(X0,fun(nat,nat)),X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2600])])).
% 59.37/10.00  tff(f43557,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (suc = aa(X0,fun(nat,nat),aTP_Lamp_ads(X0,fun(nat,nat)),X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14740])).
% 59.37/10.00  tff(f14740,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0] : suc = aa(X0,fun(nat,nat),aTP_Lamp_ads(X0,fun(nat,nat)),X1)),
% 59.37/10.00    inference(rectify,[],[f8977])).
% 59.37/10.00  tff(f8977,axiom,(
% 59.37/10.00    ! [X1 : $tType,X94 : X1] : suc = aa(X1,fun(nat,nat),aTP_Lamp_ads(X1,fun(nat,nat)),X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8976_ATP_Olambda__861)).
% 59.37/10.00  tff(f79674,plain,(
% 59.37/10.00    spl2737_2599 | ~spl2737_2597),
% 59.37/10.00    inference(avatar_split_clause,[],[f79665,f79662,f79672])).
% 59.37/10.00  tff(f79662,plain,(
% 59.37/10.00    spl2737_2597 <=> ! [X0 : rat] : pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1310(X0)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2597])])).
% 59.37/10.00  tff(f79665,plain,(
% 59.37/10.00    ( ! [X0 : rat] : (pp(aa(int,bool,combc(int,int,bool,ord_less(int),sK1310(X0)),zero_zero(int)))) ) | ~spl2737_2597),
% 59.37/10.00    inference(forward_demodulation,[],[f79663,f50171])).
% 59.37/10.00  tff(f79663,plain,(
% 59.37/10.00    ( ! [X0 : rat] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1310(X0)))) ) | ~spl2737_2597),
% 59.37/10.00    inference(avatar_component_clause,[],[f79662])).
% 59.37/10.00  tff(f79670,plain,(
% 59.37/10.00    spl2737_2598 | ~spl2737_801 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69298,f68897,f68224,f79667])).
% 59.37/10.00  tff(f79667,plain,(
% 59.37/10.00    spl2737_2598 <=> sP216(num)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2598])])).
% 59.37/10.00  tff(f68224,plain,(
% 59.37/10.00    spl2737_801 <=> preorder(num)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_801])])).
% 59.37/10.00  tff(f69298,plain,(
% 59.37/10.00    sP216(num) | (~spl2737_801 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68226])).
% 59.37/10.00  tff(f68226,plain,(
% 59.37/10.00    preorder(num) | ~spl2737_801),
% 59.37/10.00    inference(avatar_component_clause,[],[f68224])).
% 59.37/10.00  tff(f79664,plain,(
% 59.37/10.00    spl2737_2597),
% 59.37/10.00    inference(avatar_split_clause,[],[f43497,f79662])).
% 59.37/10.00  tff(f43497,plain,(
% 59.37/10.00    ( ! [X0 : rat] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1310(X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30739])).
% 59.37/10.00  tff(f30739,plain,(
% 59.37/10.00    ! [X0 : rat] : (algebr8660921524188924756oprime(int,sK1309(X0),sK1310(X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1310(X0))) & aa(int,rat,aa(int,fun(int,rat),fract,sK1309(X0)),sK1310(X0)) = X0)),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1309,sK1310])],[f23740,f30738])).
% 59.37/10.00  tff(f30738,plain,(
% 59.37/10.00    ! [X0 : rat] : (? [X1 : int,X2 : int] : (algebr8660921524188924756oprime(int,X1,X2) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) & aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0) => (algebr8660921524188924756oprime(int,sK1309(X0),sK1310(X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1310(X0))) & aa(int,rat,aa(int,fun(int,rat),fract,sK1309(X0)),sK1310(X0)) = X0))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f23740,plain,(
% 59.37/10.00    ! [X0 : rat] : ? [X1 : int,X2 : int] : (algebr8660921524188924756oprime(int,X1,X2) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) & aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0)),
% 59.37/10.00    inference(flattening,[],[f23739])).
% 59.37/10.00  tff(f23739,plain,(
% 59.37/10.00    ! [X0 : rat] : ? [X1 : int,X2 : int] : ((algebr8660921524188924756oprime(int,X1,X2) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) & aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0)),
% 59.37/10.00    inference(ennf_transformation,[],[f14694])).
% 59.37/10.00  tff(f14694,plain,(
% 59.37/10.00    ! [X0 : rat] : ~! [X1 : int,X2 : int] : (aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0 => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) => ~algebr8660921524188924756oprime(int,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f6844])).
% 59.37/10.00  tff(f6844,axiom,(
% 59.37/10.00    ! [X134 : rat] : ~! [X58 : int,X59 : int] : (aa(int,rat,aa(int,fun(int,rat),fract,X58),X59) = X134 => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X59)) => ~algebr8660921524188924756oprime(int,X58,X59)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6843_Rat__cases)).
% 59.37/10.00  tff(f79660,plain,(
% 59.37/10.00    spl2737_2596),
% 59.37/10.00    inference(avatar_split_clause,[],[f43496,f79658])).
% 59.37/10.00  tff(f79658,plain,(
% 59.37/10.00    spl2737_2596 <=> ! [X0 : rat] : aa(int,rat,aa(int,fun(int,rat),fract,sK1309(X0)),sK1310(X0)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2596])])).
% 59.37/10.00  tff(f43496,plain,(
% 59.37/10.00    ( ! [X0 : rat] : (aa(int,rat,aa(int,fun(int,rat),fract,sK1309(X0)),sK1310(X0)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30739])).
% 59.37/10.00  tff(f79656,plain,(
% 59.37/10.00    spl2737_2595),
% 59.37/10.00    inference(avatar_split_clause,[],[f43096,f79654])).
% 59.37/10.00  tff(f79654,plain,(
% 59.37/10.00    spl2737_2595 <=> ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | ~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2595])])).
% 59.37/10.00  tff(f43096,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | ~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23489])).
% 59.37/10.00  tff(f23489,plain,(
% 59.37/10.00    ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | ~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0))),
% 59.37/10.00    inference(flattening,[],[f23488])).
% 59.37/10.00  tff(f23488,plain,(
% 59.37/10.00    ! [X0 : $tType] : (summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))) | (~topolo4958980785337419405_space(X0) | ~comm_ring_1(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f3664])).
% 59.37/10.00  tff(f3664,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & comm_ring_1(X0)) => summable(X0,aa(X0,fun(nat,X0),power_power(X0),zero_zero(X0))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3663_summable__zero__power)).
% 59.37/10.00  tff(f79652,plain,(
% 59.37/10.00    spl2737_2594),
% 59.37/10.00    inference(avatar_split_clause,[],[f43060,f79650])).
% 59.37/10.00  tff(f79650,plain,(
% 59.37/10.00    spl2737_2594 <=> ! [X0 : $tType] : (at_top(X0) = filtermap(X0,X0,uminus_uminus(X0),at_bot(X0)) | ~linorder(X0) | ~ordered_ab_group_add(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2594])])).
% 59.37/10.00  tff(f43060,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (at_top(X0) = filtermap(X0,X0,uminus_uminus(X0),at_bot(X0)) | ~linorder(X0) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23457])).
% 59.37/10.00  tff(f23457,plain,(
% 59.37/10.00    ! [X0 : $tType] : (at_top(X0) = filtermap(X0,X0,uminus_uminus(X0),at_bot(X0)) | ~linorder(X0) | ~ordered_ab_group_add(X0))),
% 59.37/10.00    inference(flattening,[],[f23456])).
% 59.37/10.00  tff(f23456,plain,(
% 59.37/10.00    ! [X0 : $tType] : (at_top(X0) = filtermap(X0,X0,uminus_uminus(X0),at_bot(X0)) | (~linorder(X0) | ~ordered_ab_group_add(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f7210])).
% 59.37/10.00  tff(f7210,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((linorder(X0) & ordered_ab_group_add(X0)) => at_top(X0) = filtermap(X0,X0,uminus_uminus(X0),at_bot(X0)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7209_at__top__mirror)).
% 59.37/10.00  tff(f79648,plain,(
% 59.37/10.00    spl2737_2593),
% 59.37/10.00    inference(avatar_split_clause,[],[f43059,f79646])).
% 59.37/10.00  tff(f79646,plain,(
% 59.37/10.00    spl2737_2593 <=> ! [X0 : $tType] : (at_bot(X0) = filtermap(X0,X0,uminus_uminus(X0),at_top(X0)) | ~linorder(X0) | ~ordered_ab_group_add(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2593])])).
% 59.37/10.00  tff(f43059,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (at_bot(X0) = filtermap(X0,X0,uminus_uminus(X0),at_top(X0)) | ~linorder(X0) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23455])).
% 59.37/10.00  tff(f23455,plain,(
% 59.37/10.00    ! [X0 : $tType] : (at_bot(X0) = filtermap(X0,X0,uminus_uminus(X0),at_top(X0)) | ~linorder(X0) | ~ordered_ab_group_add(X0))),
% 59.37/10.00    inference(flattening,[],[f23454])).
% 59.37/10.00  tff(f23454,plain,(
% 59.37/10.00    ! [X0 : $tType] : (at_bot(X0) = filtermap(X0,X0,uminus_uminus(X0),at_top(X0)) | (~linorder(X0) | ~ordered_ab_group_add(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f7209])).
% 59.37/10.00  tff(f7209,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((linorder(X0) & ordered_ab_group_add(X0)) => at_bot(X0) = filtermap(X0,X0,uminus_uminus(X0),at_top(X0)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7208_at__bot__mirror)).
% 59.37/10.00  tff(f79644,plain,(
% 59.37/10.00    spl2737_2592),
% 59.37/10.00    inference(avatar_split_clause,[],[f42995,f79642])).
% 59.37/10.00  tff(f79642,plain,(
% 59.37/10.00    spl2737_2592 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP237(X0,X1,X2) | ~sP238(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2592])])).
% 59.37/10.00  tff(f42995,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP237(X0,X1,X2) | ~sP238(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30346])).
% 59.37/10.00  tff(f30346,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : ((eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP237(X0,X1,X2)) & (sP237(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))))) | ~sP238(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27444])).
% 59.37/10.00  tff(f27444,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> sP237(X0,X1,X2)) | ~sP238(X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP238])])).
% 59.37/10.00  tff(f79640,plain,(
% 59.37/10.00    spl2737_2591),
% 59.37/10.00    inference(avatar_split_clause,[],[f42994,f79638])).
% 59.37/10.00  tff(f79638,plain,(
% 59.37/10.00    spl2737_2591 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (sP237(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP238(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2591])])).
% 59.37/10.00  tff(f42994,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (sP237(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) | ~sP238(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30346])).
% 59.37/10.00  tff(f79636,plain,(
% 59.37/10.00    spl2737_2590),
% 59.37/10.00    inference(avatar_split_clause,[],[f42987,f79634])).
% 59.37/10.00  tff(f79634,plain,(
% 59.37/10.00    spl2737_2590 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP235(X0,X1,X2) | ~sP236(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2590])])).
% 59.37/10.00  tff(f42987,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP235(X0,X1,X2) | ~sP236(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30340])).
% 59.37/10.00  tff(f30340,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : ((eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP235(X0,X1,X2)) & (sP235(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))))) | ~sP236(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27441])).
% 59.37/10.00  tff(f27441,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> sP235(X0,X1,X2)) | ~sP236(X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP236])])).
% 59.37/10.00  tff(f79632,plain,(
% 59.37/10.00    spl2737_2589),
% 59.37/10.00    inference(avatar_split_clause,[],[f42986,f79630])).
% 59.37/10.00  tff(f79630,plain,(
% 59.37/10.00    spl2737_2589 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (sP235(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP236(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2589])])).
% 59.37/10.00  tff(f42986,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (sP235(X0,X1,X2) | ~eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) | ~sP236(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30340])).
% 59.37/10.00  tff(f79628,plain,(
% 59.37/10.00    spl2737_2588),
% 59.37/10.00    inference(avatar_split_clause,[],[f42825,f79626])).
% 59.37/10.00  tff(f79626,plain,(
% 59.37/10.00    spl2737_2588 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1),exp(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2588])])).
% 59.37/10.00  tff(f42825,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1),exp(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23059])).
% 59.37/10.00  tff(f23059,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1),exp(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    inference(flattening,[],[f23058])).
% 59.37/10.00  tff(f23058,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1),exp(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f14270])).
% 59.37/10.00  tff(f14270,plain,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1),exp(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f4001])).
% 59.37/10.00  tff(f4001,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : sums(X0,aTP_Lamp_gt(X0,fun(nat,X0),X14),exp(X0,X14)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4000_exp__converges)).
% 59.37/10.00  tff(f79624,plain,(
% 59.37/10.00    spl2737_2587 | ~spl2737_800 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69297,f68897,f68219,f79621])).
% 59.37/10.00  tff(f79621,plain,(
% 59.37/10.00    spl2737_2587 <=> sP216(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2587])])).
% 59.37/10.00  tff(f68219,plain,(
% 59.37/10.00    spl2737_800 <=> preorder(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_800])])).
% 59.37/10.00  tff(f69297,plain,(
% 59.37/10.00    sP216(rat) | (~spl2737_800 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68221])).
% 59.37/10.00  tff(f68221,plain,(
% 59.37/10.00    preorder(rat) | ~spl2737_800),
% 59.37/10.00    inference(avatar_component_clause,[],[f68219])).
% 59.37/10.00  tff(f79619,plain,(
% 59.37/10.00    spl2737_2586),
% 59.37/10.00    inference(avatar_split_clause,[],[f42824,f79617])).
% 59.37/10.00  tff(f79617,plain,(
% 59.37/10.00    spl2737_2586 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_gv(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2586])])).
% 59.37/10.00  tff(f42824,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_gv(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23057])).
% 59.37/10.00  tff(f23057,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_gv(X0,fun(nat,X0),X1),sin(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    inference(flattening,[],[f23056])).
% 59.37/10.00  tff(f23056,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_gv(X0,fun(nat,X0),X1),sin(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f14269])).
% 59.37/10.00  tff(f14269,plain,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_gv(X0,fun(nat,X0),X1),sin(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f4004])).
% 59.37/10.00  tff(f4004,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : sums(X0,aTP_Lamp_gv(X0,fun(nat,X0),X14),sin(X0,X14)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4003_sin__minus__converges)).
% 59.37/10.00  tff(f79615,plain,(
% 59.37/10.00    spl2737_2585),
% 59.37/10.00    inference(avatar_split_clause,[],[f42823,f79613])).
% 59.37/10.00  tff(f79613,plain,(
% 59.37/10.00    spl2737_2585 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),cosh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2585])])).
% 59.37/10.00  tff(f42823,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),cosh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23055])).
% 59.37/10.00  tff(f23055,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),cosh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    inference(flattening,[],[f23054])).
% 59.37/10.00  tff(f23054,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),cosh(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f14268])).
% 59.37/10.00  tff(f14268,plain,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X1),cosh(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f4011])).
% 59.37/10.00  tff(f4011,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : sums(X0,aTP_Lamp_ha(X0,fun(nat,X0),X14),cosh(X0,X14)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4010_cosh__converges)).
% 59.37/10.00  tff(f79611,plain,(
% 59.37/10.00    spl2737_2584),
% 59.37/10.00    inference(avatar_split_clause,[],[f42822,f79609])).
% 59.37/10.00  tff(f79609,plain,(
% 59.37/10.00    spl2737_2584 <=> ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),sinh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2584])])).
% 59.37/10.00  tff(f42822,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),sinh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f23053])).
% 59.37/10.00  tff(f23053,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),sinh(X0,X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.00    inference(flattening,[],[f23052])).
% 59.37/10.00  tff(f23052,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),sinh(X0,X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.00    inference(ennf_transformation,[],[f14267])).
% 59.37/10.00  tff(f14267,plain,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X1),sinh(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f4012])).
% 59.37/10.00  tff(f4012,axiom,(
% 59.37/10.00    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : sums(X0,aTP_Lamp_hb(X0,fun(nat,X0),X14),sinh(X0,X14)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4011_sinh__converges)).
% 59.37/10.00  tff(f79591,plain,(
% 59.37/10.00    spl2737_2583 | ~spl2737_2582),
% 59.37/10.00    inference(avatar_split_clause,[],[f79587,f79584,f79589])).
% 59.37/10.00  tff(f79589,plain,(
% 59.37/10.00    spl2737_2583 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),X1),X1)) | ~order(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2583])])).
% 59.37/10.00  tff(f79584,plain,(
% 59.37/10.00    spl2737_2582 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X1)) | ~order(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2582])])).
% 59.37/10.00  tff(f79587,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),X1),X1)) | ~order(X0)) ) | ~spl2737_2582),
% 59.37/10.00    inference(forward_demodulation,[],[f79585,f50171])).
% 59.37/10.00  tff(f79585,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X1)) | ~order(X0)) ) | ~spl2737_2582),
% 59.37/10.00    inference(avatar_component_clause,[],[f79584])).
% 59.37/10.00  tff(f79586,plain,(
% 59.37/10.00    spl2737_2582),
% 59.37/10.00    inference(avatar_split_clause,[],[f42402,f79584])).
% 59.37/10.00  tff(f42402,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X1)) | ~order(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f22610])).
% 59.37/10.00  tff(f22610,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X1)) | ~order(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13963])).
% 59.37/10.00  tff(f13963,plain,(
% 59.37/10.00    ! [X0 : $tType] : (order(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X1)))),
% 59.37/10.00    inference(rectify,[],[f557])).
% 59.37/10.00  tff(f557,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (order(X0) => ! [X7 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_556_verit__comp__simplify1_I2_J)).
% 59.37/10.00  tff(f79572,plain,(
% 59.37/10.00    spl2737_2581 | ~spl2737_2580),
% 59.37/10.00    inference(avatar_split_clause,[],[f79568,f79565,f79570])).
% 59.37/10.00  tff(f79570,plain,(
% 59.37/10.00    spl2737_2581 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),X1)) | ~order(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2581])])).
% 59.37/10.00  tff(f79565,plain,(
% 59.37/10.00    spl2737_2580 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~order(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2580])])).
% 59.37/10.00  tff(f79568,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),X1)) | ~order(X0)) ) | ~spl2737_2580),
% 59.37/10.00    inference(forward_demodulation,[],[f79566,f50171])).
% 59.37/10.00  tff(f79566,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~order(X0)) ) | ~spl2737_2580),
% 59.37/10.00    inference(avatar_component_clause,[],[f79565])).
% 59.37/10.00  tff(f79567,plain,(
% 59.37/10.00    spl2737_2580),
% 59.37/10.00    inference(avatar_split_clause,[],[f42401,f79565])).
% 59.37/10.00  tff(f42401,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~order(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f22609])).
% 59.37/10.00  tff(f22609,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~order(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13962])).
% 59.37/10.00  tff(f13962,plain,(
% 59.37/10.00    ! [X0 : $tType] : (order(X0) => ! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)))),
% 59.37/10.00    inference(rectify,[],[f272])).
% 59.37/10.00  tff(f272,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (order(X0) => ! [X7 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_verit__comp__simplify1_I1_J)).
% 59.37/10.00  tff(f79563,plain,(
% 59.37/10.00    spl2737_2579),
% 59.37/10.00    inference(avatar_split_clause,[],[f42300,f79561])).
% 59.37/10.00  tff(f79561,plain,(
% 59.37/10.00    spl2737_2579 <=> ! [X1 : $tType,X4 : list(X1),X0 : list(X1),X3 : X1,X2 : X1] : (ord_lexordp_eq(X1,X0,sK967(X1,X0,X2,X3,X4)) | ~sP217(X1,X0,X2,X3,X4))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2579])])).
% 59.37/10.00  tff(f42300,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : list(X1),X4 : list(X1)] : (ord_lexordp_eq(X1,X0,sK967(X1,X0,X2,X3,X4)) | ~sP217(X1,X0,X2,X3,X4)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f30064])).
% 59.37/10.00  tff(f30064,plain,(
% 59.37/10.00    ! [X0 : list(X1),X1 : $tType,X2 : X1,X3 : X1,X4 : list(X1)] : ((ord_lexordp_eq(X1,X0,sK967(X1,X0,X2,X3,X4)) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),X2)) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X3)) & cons(X1,X3,sK967(X1,X0,X2,X3,X4)) = X4) | ~sP217(X1,X0,X2,X3,X4))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK967])],[f30062,f30063])).
% 59.37/10.00  tff(f30063,plain,(
% 59.37/10.00    ! [X1 : $tType,X0 : list(X1),X2 : X1,X3 : X1,X4 : list(X1)] : (? [X5 : list(X1)] : (ord_lexordp_eq(X1,X0,X5) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),X2)) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X3)) & cons(X1,X3,X5) = X4) => (ord_lexordp_eq(X1,X0,sK967(X1,X0,X2,X3,X4)) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),X2)) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X3)) & cons(X1,X3,sK967(X1,X0,X2,X3,X4)) = X4))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f30062,plain,(
% 59.37/10.00    ! [X0 : list(X1),X1 : $tType,X2 : X1,X3 : X1,X4 : list(X1)] : (? [X5 : list(X1)] : (ord_lexordp_eq(X1,X0,X5) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),X2)) & ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X3)) & cons(X1,X3,X5) = X4) | ~sP217(X1,X0,X2,X3,X4))),
% 59.37/10.00    inference(rectify,[],[f30061])).
% 59.37/10.00  tff(f30061,plain,(
% 59.37/10.00    ! [X9 : list(X0),X0 : $tType,X7 : X0,X8 : X0,X2 : list(X0)] : (? [X10 : list(X0)] : (ord_lexordp_eq(X0,X9,X10) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),X7)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2) | ~sP217(X0,X9,X7,X8,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27415])).
% 59.37/10.00  tff(f27415,plain,(
% 59.37/10.00    ! [X9 : list(X0),X0 : $tType,X7 : X0,X8 : X0,X2 : list(X0)] : (? [X10 : list(X0)] : (ord_lexordp_eq(X0,X9,X10) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),X7)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2) | ~sP217(X0,X9,X7,X8,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP217])])).
% 59.37/10.00  tff(f79559,plain,(
% 59.37/10.00    spl2737_2578 | ~spl2737_804 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69295,f68897,f68239,f79556])).
% 59.37/10.00  tff(f79556,plain,(
% 59.37/10.00    spl2737_2578 <=> sP216(bool)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2578])])).
% 59.37/10.00  tff(f68239,plain,(
% 59.37/10.00    spl2737_804 <=> preorder(bool)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_804])])).
% 59.37/10.00  tff(f69295,plain,(
% 59.37/10.00    sP216(bool) | (~spl2737_804 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68241])).
% 59.37/10.00  tff(f68241,plain,(
% 59.37/10.00    preorder(bool) | ~spl2737_804),
% 59.37/10.00    inference(avatar_component_clause,[],[f68239])).
% 59.37/10.00  tff(f79554,plain,(
% 59.37/10.00    spl2737_2577),
% 59.37/10.00    inference(avatar_split_clause,[],[f42287,f79552])).
% 59.37/10.00  tff(f79552,plain,(
% 59.37/10.00    spl2737_2577 <=> ! [X0 : $tType,X1 : X0] : (set_ord_lessThan(X0,X1) = collect(X0,aTP_Lamp_dv(X0,fun(X0,bool),X1)) | ~ord(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2577])])).
% 59.37/10.00  tff(f42287,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (set_ord_lessThan(X0,X1) = collect(X0,aTP_Lamp_dv(X0,fun(X0,bool),X1)) | ~ord(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f22574])).
% 59.37/10.00  tff(f22574,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : set_ord_lessThan(X0,X1) = collect(X0,aTP_Lamp_dv(X0,fun(X0,bool),X1)) | ~ord(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13934])).
% 59.37/10.00  tff(f13934,plain,(
% 59.37/10.00    ! [X0 : $tType] : (ord(X0) => ! [X1 : X0] : set_ord_lessThan(X0,X1) = collect(X0,aTP_Lamp_dv(X0,fun(X0,bool),X1)))),
% 59.37/10.00    inference(rectify,[],[f3826])).
% 59.37/10.00  tff(f3826,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ord(X0) => ! [X132 : X0] : set_ord_lessThan(X0,X132) = collect(X0,aTP_Lamp_dv(X0,fun(X0,bool),X132)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3825_lessThan__def)).
% 59.37/10.00  tff(f79540,plain,(
% 59.37/10.00    spl2737_2576 | ~spl2737_2575),
% 59.37/10.00    inference(avatar_split_clause,[],[f79536,f79533,f79538])).
% 59.37/10.00  tff(f79538,plain,(
% 59.37/10.00    spl2737_2576 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),X1)) | ~preorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2576])])).
% 59.37/10.00  tff(f79533,plain,(
% 59.37/10.00    spl2737_2575 <=> ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~preorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2575])])).
% 59.37/10.00  tff(f79536,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),X1)) | ~preorder(X0)) ) | ~spl2737_2575),
% 59.37/10.00    inference(forward_demodulation,[],[f79534,f50171])).
% 59.37/10.00  tff(f79534,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~preorder(X0)) ) | ~spl2737_2575),
% 59.37/10.00    inference(avatar_component_clause,[],[f79533])).
% 59.37/10.00  tff(f79535,plain,(
% 59.37/10.00    spl2737_2575),
% 59.37/10.00    inference(avatar_split_clause,[],[f42229,f79533])).
% 59.37/10.00  tff(f42229,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~preorder(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f22530])).
% 59.37/10.00  tff(f22530,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)) | ~preorder(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13902])).
% 59.37/10.00  tff(f13902,plain,(
% 59.37/10.00    ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X1)))),
% 59.37/10.00    inference(rectify,[],[f851])).
% 59.37/10.00  tff(f851,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (preorder(X0) => ! [X7 : X0] : ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_850_dual__order_Oirrefl)).
% 59.37/10.00  tff(f79531,plain,(
% 59.37/10.00    spl2737_2574),
% 59.37/10.00    inference(avatar_split_clause,[],[f41937,f79529])).
% 59.37/10.00  tff(f79529,plain,(
% 59.37/10.00    spl2737_2574 <=> ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) | ~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2574])])).
% 59.37/10.00  tff(f41937,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) | ~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~linorder(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29818])).
% 59.37/10.00  tff(f29818,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : list(X0)] : ((sorted_wrt(X0,ord_less(X0),X1) | ~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) & ((distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1)) | ~sorted_wrt(X0,ord_less(X0),X1))) | ~linorder(X0))),
% 59.37/10.00    inference(flattening,[],[f29817])).
% 59.37/10.00  tff(f29817,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : list(X0)] : ((sorted_wrt(X0,ord_less(X0),X1) | (~distinct(X0,X1) | ~sorted_wrt(X0,ord_less_eq(X0),X1))) & ((distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1)) | ~sorted_wrt(X0,ord_less(X0),X1))) | ~linorder(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f22346])).
% 59.37/10.00  tff(f22346,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) <=> (distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1))) | ~linorder(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13758])).
% 59.37/10.00  tff(f13758,plain,(
% 59.37/10.00    ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) <=> (distinct(X0,X1) & sorted_wrt(X0,ord_less_eq(X0),X1))))),
% 59.37/10.00    inference(rectify,[],[f5263])).
% 59.37/10.00  tff(f5263,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (linorder(X0) => ! [X51 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X51) <=> (distinct(X0,X51) & sorted_wrt(X0,ord_less_eq(X0),X51))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5262_strict__sorted__iff)).
% 59.37/10.00  tff(f79527,plain,(
% 59.37/10.00    spl2737_2573),
% 59.37/10.00    inference(avatar_split_clause,[],[f41921,f79525])).
% 59.37/10.00  tff(f79525,plain,(
% 59.37/10.00    spl2737_2573 <=> ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK885(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ~linorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2573])])).
% 59.37/10.00  tff(f41921,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK885(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)) | ~linorder(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29804])).
% 59.37/10.00  tff(f79523,plain,(
% 59.37/10.00    spl2737_2572),
% 59.37/10.00    inference(avatar_split_clause,[],[f41899,f79521])).
% 59.37/10.00  tff(f79521,plain,(
% 59.37/10.00    spl2737_2572 <=> ! [X0 : $tType] : (folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_ot(X0,X0)) | ~linorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2572])])).
% 59.37/10.00  tff(f41899,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_ot(X0,X0)) | ~linorder(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f22318])).
% 59.37/10.00  tff(f22318,plain,(
% 59.37/10.00    ! [X0 : $tType] : (folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_ot(X0,X0)) | ~linorder(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f5629])).
% 59.37/10.00  tff(f5629,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (linorder(X0) => folding_insort_key(X0,X0,ord_less_eq(X0),ord_less(X0),top_top(set(X0)),aTP_Lamp_ot(X0,X0)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5628_sorted__list__of__set_Ofolding__insort__key__axioms)).
% 59.37/10.00  tff(f79503,plain,(
% 59.37/10.00    spl2737_2571 | ~spl2737_2570),
% 59.37/10.00    inference(avatar_split_clause,[],[f79499,f79496,f79501])).
% 59.37/10.00  tff(f79501,plain,(
% 59.37/10.00    spl2737_2571 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X1),X1)) | ~comm_monoid_mult(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2571])])).
% 59.37/10.00  tff(f79496,plain,(
% 59.37/10.00    spl2737_2570 <=> ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X1)) | ~comm_monoid_mult(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2570])])).
% 59.37/10.00  tff(f79499,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,dvd_dvd(X0),X1),X1)) | ~comm_monoid_mult(X0)) ) | ~spl2737_2570),
% 59.37/10.00    inference(forward_demodulation,[],[f79497,f50171])).
% 59.37/10.00  tff(f79497,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X1)) | ~comm_monoid_mult(X0)) ) | ~spl2737_2570),
% 59.37/10.00    inference(avatar_component_clause,[],[f79496])).
% 59.37/10.00  tff(f79498,plain,(
% 59.37/10.00    spl2737_2570),
% 59.37/10.00    inference(avatar_split_clause,[],[f41548,f79496])).
% 59.37/10.00  tff(f41548,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X1)) | ~comm_monoid_mult(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f21993])).
% 59.37/10.00  tff(f21993,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X1)) | ~comm_monoid_mult(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13445])).
% 59.37/10.00  tff(f13445,plain,(
% 59.37/10.00    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X1 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X1)))),
% 59.37/10.00    inference(rectify,[],[f2795])).
% 59.37/10.00  tff(f2795,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (comm_monoid_mult(X0) => ! [X7 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X7),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2794_dvd__refl)).
% 59.37/10.00  tff(f79494,plain,(
% 59.37/10.00    spl2737_2569 | ~spl2737_802 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69294,f68897,f68229,f79491])).
% 59.37/10.00  tff(f79491,plain,(
% 59.37/10.00    spl2737_2569 <=> sP216(real)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2569])])).
% 59.37/10.00  tff(f68229,plain,(
% 59.37/10.00    spl2737_802 <=> preorder(real)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_802])])).
% 59.37/10.00  tff(f69294,plain,(
% 59.37/10.00    sP216(real) | (~spl2737_802 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68231])).
% 59.37/10.00  tff(f68231,plain,(
% 59.37/10.00    preorder(real) | ~spl2737_802),
% 59.37/10.00    inference(avatar_component_clause,[],[f68229])).
% 59.37/10.00  tff(f79489,plain,(
% 59.37/10.00    spl2737_2568),
% 59.37/10.00    inference(avatar_split_clause,[],[f41471,f79487])).
% 59.37/10.00  tff(f79487,plain,(
% 59.37/10.00    spl2737_2568 <=> ! [X0 : $tType,X1 : nat] : (one_one(nat) = X1 | one_one(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2568])])).
% 59.37/10.00  tff(f41471,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (one_one(nat) = X1 | one_one(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29729])).
% 59.37/10.00  tff(f29729,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : ((one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | one_one(nat) != X1) & (one_one(nat) = X1 | one_one(X0) != aa(nat,X0,semiring_1_of_nat(X0),X1))) | ~semiring_char_0(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f21932])).
% 59.37/10.00  tff(f21932,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> one_one(nat) = X1) | ~semiring_char_0(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13400])).
% 59.37/10.00  tff(f13400,plain,(
% 59.37/10.00    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) <=> one_one(nat) = X1))),
% 59.37/10.00    inference(rectify,[],[f328])).
% 59.37/10.00  tff(f328,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : nat] : (aa(nat,X0,semiring_1_of_nat(X0),X8) = one_one(X0) <=> one_one(nat) = X8))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_of__nat__eq__1__iff)).
% 59.37/10.00  tff(f79485,plain,(
% 59.37/10.00    spl2737_2567),
% 59.37/10.00    inference(avatar_split_clause,[],[f41454,f79483])).
% 59.37/10.00  tff(f79483,plain,(
% 59.37/10.00    spl2737_2567 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X1)) | ~semiring_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2567])])).
% 59.37/10.00  tff(f41454,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X1)) | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f21920])).
% 59.37/10.00  tff(f21920,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X1)) | ~semiring_char_0(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13388])).
% 59.37/10.00  tff(f13388,plain,(
% 59.37/10.00    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X1)))),
% 59.37/10.00    inference(rectify,[],[f215])).
% 59.37/10.00  tff(f215,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : nat] : zero_zero(X0) != aa(nat,X0,semiring_1_of_nat(X0),aa(nat,nat,suc,X8)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_of__nat__neq__0)).
% 59.37/10.00  tff(f79481,plain,(
% 59.37/10.00    spl2737_2566),
% 59.37/10.00    inference(avatar_split_clause,[],[f41078,f79479])).
% 59.37/10.00  tff(f79479,plain,(
% 59.37/10.00    spl2737_2566 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)) | ~topolo6863149650580417670ergent(X0,X1) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2566])])).
% 59.37/10.00  tff(f41078,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)) | ~topolo6863149650580417670ergent(X0,X1) | ~topolo4958980785337419405_space(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29617])).
% 59.37/10.00  tff(f29617,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)) | ~topolo6863149650580417670ergent(X0,X1)) & (topolo6863149650580417670ergent(X0,X1) | ~topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)))) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f21601])).
% 59.37/10.00  tff(f21601,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)) <=> topolo6863149650580417670ergent(X0,X1)) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13143])).
% 59.37/10.00  tff(f13143,plain,(
% 59.37/10.00    ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)) <=> topolo6863149650580417670ergent(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f6993])).
% 59.37/10.00  tff(f6993,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X32 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X32)) <=> topolo6863149650580417670ergent(X0,X32)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6992_convergent__Suc__iff)).
% 59.37/10.00  tff(f79477,plain,(
% 59.37/10.00    spl2737_2565),
% 59.37/10.00    inference(avatar_split_clause,[],[f41077,f79475])).
% 59.37/10.00  tff(f79475,plain,(
% 59.37/10.00    spl2737_2565 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,X1) | ~topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2565])])).
% 59.37/10.00  tff(f41077,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,X1) | ~topolo6863149650580417670ergent(X0,aTP_Lamp_vf(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29617])).
% 59.37/10.00  tff(f79473,plain,(
% 59.37/10.00    spl2737_2564),
% 59.37/10.00    inference(avatar_split_clause,[],[f40718,f79471])).
% 59.37/10.00  tff(f79471,plain,(
% 59.37/10.00    spl2737_2564 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))) | ~ring_1(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2564])])).
% 59.37/10.00  tff(f40718,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))) | ~ring_1(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f21250])).
% 59.37/10.00  tff(f21250,plain,(
% 59.37/10.00    ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))) | ~ring_1(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f4801])).
% 59.37/10.00  tff(f4801,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),one2))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4800_not__iszero__neg__Numeral1)).
% 59.37/10.00  tff(f79469,plain,(
% 59.37/10.00    spl2737_2563),
% 59.37/10.00    inference(avatar_split_clause,[],[f40681,f79467])).
% 59.37/10.00  tff(f79467,plain,(
% 59.37/10.00    spl2737_2563 <=> ! [X1 : $tType,X0 : X1] : (sP191(X1,X0) | neg_numeral_is_num(X1,sK825(X1,X0)) | one_one(X1) = X0 | ~sP192(X1,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2563])])).
% 59.37/10.00  tff(f40681,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : X1] : (sP191(X1,X0) | neg_numeral_is_num(X1,sK825(X1,X0)) | one_one(X1) = X0 | ~sP192(X1,X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29529])).
% 59.37/10.00  tff(f29529,plain,(
% 59.37/10.00    ! [X0 : X1,X1 : $tType] : ((sP192(X1,X0) | (~sP191(X1,X0) & ! [X2 : X1] : (~neg_numeral_is_num(X1,X2) | aa(X1,X1,uminus_uminus(X1),X2) != X0) & one_one(X1) != X0)) & (sP191(X1,X0) | (neg_numeral_is_num(X1,sK825(X1,X0)) & aa(X1,X1,uminus_uminus(X1),sK825(X1,X0)) = X0) | one_one(X1) = X0 | ~sP192(X1,X0)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK825])],[f29527,f29528])).
% 59.37/10.00  tff(f29528,plain,(
% 59.37/10.00    ! [X1 : $tType,X0 : X1] : (? [X3 : X1] : (neg_numeral_is_num(X1,X3) & aa(X1,X1,uminus_uminus(X1),X3) = X0) => (neg_numeral_is_num(X1,sK825(X1,X0)) & aa(X1,X1,uminus_uminus(X1),sK825(X1,X0)) = X0))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f29527,plain,(
% 59.37/10.00    ! [X0 : X1,X1 : $tType] : ((sP192(X1,X0) | (~sP191(X1,X0) & ! [X2 : X1] : (~neg_numeral_is_num(X1,X2) | aa(X1,X1,uminus_uminus(X1),X2) != X0) & one_one(X1) != X0)) & (sP191(X1,X0) | ? [X3 : X1] : (neg_numeral_is_num(X1,X3) & aa(X1,X1,uminus_uminus(X1),X3) = X0) | one_one(X1) = X0 | ~sP192(X1,X0)))),
% 59.37/10.00    inference(rectify,[],[f29526])).
% 59.37/10.00  tff(f29526,plain,(
% 59.37/10.00    ! [X1 : X0,X0 : $tType] : ((sP192(X0,X1) | (~sP191(X0,X1) & ! [X4 : X0] : (~neg_numeral_is_num(X0,X4) | aa(X0,X0,uminus_uminus(X0),X4) != X1) & one_one(X0) != X1)) & (sP191(X0,X1) | ? [X4 : X0] : (neg_numeral_is_num(X0,X4) & aa(X0,X0,uminus_uminus(X0),X4) = X1) | one_one(X0) = X1 | ~sP192(X0,X1)))),
% 59.37/10.00    inference(flattening,[],[f29525])).
% 59.37/10.00  tff(f29525,plain,(
% 59.37/10.00    ! [X1 : X0,X0 : $tType] : ((sP192(X0,X1) | (~sP191(X0,X1) & ! [X4 : X0] : (~neg_numeral_is_num(X0,X4) | aa(X0,X0,uminus_uminus(X0),X4) != X1) & one_one(X0) != X1)) & ((sP191(X0,X1) | ? [X4 : X0] : (neg_numeral_is_num(X0,X4) & aa(X0,X0,uminus_uminus(X0),X4) = X1) | one_one(X0) = X1) | ~sP192(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27376])).
% 59.37/10.00  tff(f27376,plain,(
% 59.37/10.00    ! [X1 : X0,X0 : $tType] : (sP192(X0,X1) <=> (sP191(X0,X1) | ? [X4 : X0] : (neg_numeral_is_num(X0,X4) & aa(X0,X0,uminus_uminus(X0),X4) = X1) | one_one(X0) = X1))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP192])])).
% 59.37/10.00  tff(f79465,plain,(
% 59.37/10.00    spl2737_2562),
% 59.37/10.00    inference(avatar_split_clause,[],[f40548,f79463])).
% 59.37/10.00  tff(f79463,plain,(
% 59.37/10.00    spl2737_2562 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2562])])).
% 59.37/10.00  tff(f40548,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),X1) | ~group_add(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29504])).
% 59.37/10.00  tff(f29504,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),X1))) | ~group_add(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f21105])).
% 59.37/10.00  tff(f21105,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X1) <=> zero_zero(X0) = X1) | ~group_add(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12768])).
% 59.37/10.00  tff(f12768,plain,(
% 59.37/10.00    ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f300])).
% 59.37/10.00  tff(f300,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (group_add(X0) => ! [X7 : X0] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),X7) <=> zero_zero(X0) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_neg__equal__0__iff__equal)).
% 59.37/10.00  tff(f79461,plain,(
% 59.37/10.00    spl2737_2561),
% 59.37/10.00    inference(avatar_split_clause,[],[f40537,f79459])).
% 59.37/10.00  tff(f79459,plain,(
% 59.37/10.00    spl2737_2561 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~group_add(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2561])])).
% 59.37/10.00  tff(f40537,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~group_add(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f21094])).
% 59.37/10.00  tff(f21094,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~group_add(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12757])).
% 59.37/10.00  tff(f12757,plain,(
% 59.37/10.00    ! [X0 : $tType] : (group_add(X0) => ! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1)),
% 59.37/10.00    inference(rectify,[],[f293])).
% 59.37/10.00  tff(f293,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (group_add(X0) => ! [X7 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X7)) = X7)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_add_Oinverse__inverse)).
% 59.37/10.00  tff(f79457,plain,(
% 59.37/10.00    spl2737_2560),
% 59.37/10.00    inference(avatar_split_clause,[],[f40433,f79455])).
% 59.37/10.00  tff(f79455,plain,(
% 59.37/10.00    spl2737_2560 <=> ! [X0 : $tType,X1 : int] : (one_one(int) = X1 | one_one(X0) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2560])])).
% 59.37/10.00  tff(f40433,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : int] : (one_one(int) = X1 | one_one(X0) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29459])).
% 59.37/10.00  tff(f29459,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : int] : ((one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) | one_one(int) != X1) & (one_one(int) = X1 | one_one(X0) != aa(int,X0,ring_1_of_int(X0),X1))) | ~ring_char_0(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f21022])).
% 59.37/10.00  tff(f21022,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : int] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) <=> one_one(int) = X1) | ~ring_char_0(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12690])).
% 59.37/10.00  tff(f12690,plain,(
% 59.37/10.00    ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : int] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) <=> one_one(int) = X1))),
% 59.37/10.00    inference(rectify,[],[f308])).
% 59.37/10.00  tff(f308,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ring_char_0(X0) => ! [X60 : int] : (aa(int,X0,ring_1_of_int(X0),X60) = one_one(X0) <=> one_one(int) = X60))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307_of__int__eq__1__iff)).
% 59.37/10.00  tff(f79453,plain,(
% 59.37/10.00    spl2737_2559),
% 59.37/10.00    inference(avatar_split_clause,[],[f40429,f79451])).
% 59.37/10.00  tff(f79451,plain,(
% 59.37/10.00    spl2737_2559 <=> ! [X0 : $tType,X1 : int] : (zero_zero(int) = X1 | zero_zero(X0) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2559])])).
% 59.37/10.00  tff(f40429,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : int] : (zero_zero(int) = X1 | zero_zero(X0) != aa(int,X0,ring_1_of_int(X0),X1) | ~ring_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29457])).
% 59.37/10.00  tff(f29457,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : int] : ((zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),X1) | zero_zero(int) != X1) & (zero_zero(int) = X1 | zero_zero(X0) != aa(int,X0,ring_1_of_int(X0),X1))) | ~ring_char_0(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f21020])).
% 59.37/10.00  tff(f21020,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : int] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),X1) <=> zero_zero(int) = X1) | ~ring_char_0(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12688])).
% 59.37/10.00  tff(f12688,plain,(
% 59.37/10.00    ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : int] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),X1) <=> zero_zero(int) = X1))),
% 59.37/10.00    inference(rectify,[],[f325])).
% 59.37/10.00  tff(f325,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ring_char_0(X0) => ! [X60 : int] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),X60) <=> zero_zero(int) = X60))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_of__int__eq__0__iff)).
% 59.37/10.00  tff(f79449,plain,(
% 59.37/10.00    spl2737_2558 | ~spl2737_795 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69292,f68897,f68194,f79446])).
% 59.37/10.00  tff(f79446,plain,(
% 59.37/10.00    spl2737_2558 <=> sP216(literal)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2558])])).
% 59.37/10.00  tff(f68194,plain,(
% 59.37/10.00    spl2737_795 <=> preorder(literal)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_795])])).
% 59.37/10.00  tff(f69292,plain,(
% 59.37/10.00    sP216(literal) | (~spl2737_795 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68196])).
% 59.37/10.00  tff(f68196,plain,(
% 59.37/10.00    preorder(literal) | ~spl2737_795),
% 59.37/10.00    inference(avatar_component_clause,[],[f68194])).
% 59.37/10.00  tff(f79444,plain,(
% 59.37/10.00    spl2737_2557),
% 59.37/10.00    inference(avatar_split_clause,[],[f40386,f79442])).
% 59.37/10.00  tff(f79442,plain,(
% 59.37/10.00    spl2737_2557 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~idom_abs_sgn(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2557])])).
% 59.37/10.00  tff(f40386,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~idom_abs_sgn(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29422])).
% 59.37/10.00  tff(f29422,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1))) | ~idom_abs_sgn(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20988])).
% 59.37/10.00  tff(f20988,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1) | ~idom_abs_sgn(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12668])).
% 59.37/10.00  tff(f12668,plain,(
% 59.37/10.00    ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f796])).
% 59.37/10.00  tff(f796,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X7 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X7) <=> zero_zero(X0) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_795_abs__eq__0__iff)).
% 59.37/10.00  tff(f79440,plain,(
% 59.37/10.00    spl2737_2556),
% 59.37/10.00    inference(avatar_split_clause,[],[f40384,f79438])).
% 59.37/10.00  tff(f79438,plain,(
% 59.37/10.00    spl2737_2556 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~idom_abs_sgn(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2556])])).
% 59.37/10.00  tff(f40384,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~idom_abs_sgn(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29421])).
% 59.37/10.00  tff(f29421,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1))) | ~idom_abs_sgn(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20987])).
% 59.37/10.00  tff(f20987,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1) | ~idom_abs_sgn(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12667])).
% 59.37/10.00  tff(f12667,plain,(
% 59.37/10.00    ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f1833])).
% 59.37/10.00  tff(f1833,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (idom_abs_sgn(X0) => ! [X7 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X7) <=> zero_zero(X0) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1832_sgn__eq__0__iff)).
% 59.37/10.00  tff(f79436,plain,(
% 59.37/10.00    spl2737_2555),
% 59.37/10.00    inference(avatar_split_clause,[],[f40032,f79434])).
% 59.37/10.00  tff(f79434,plain,(
% 59.37/10.00    spl2737_2555 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~linordered_idom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2555])])).
% 59.37/10.00  tff(f40032,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~linordered_idom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29270])).
% 59.37/10.00  tff(f29270,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1))) | ~linordered_idom(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20823])).
% 59.37/10.00  tff(f20823,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1) | ~linordered_idom(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12521])).
% 59.37/10.00  tff(f12521,plain,(
% 59.37/10.00    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f1832])).
% 59.37/10.00  tff(f1832,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (linordered_idom(X0) => ! [X7 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X7) <=> zero_zero(X0) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1831_sgn__0__0)).
% 59.37/10.00  tff(f79432,plain,(
% 59.37/10.00    spl2737_2554),
% 59.37/10.00    inference(avatar_split_clause,[],[f39857,f79430])).
% 59.37/10.00  tff(f79430,plain,(
% 59.37/10.00    spl2737_2554 <=> ! [X0 : $tType,X1 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2554])])).
% 59.37/10.00  tff(f39857,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20691])).
% 59.37/10.00  tff(f20691,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12403])).
% 59.37/10.00  tff(f12403,plain,(
% 59.37/10.00    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X1))))),
% 59.37/10.00    inference(rectify,[],[f3395])).
% 59.37/10.00  tff(f3395,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),aa(nat,nat,suc,X8))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3394_not__bit__1__Suc)).
% 59.37/10.00  tff(f79428,plain,(
% 59.37/10.00    spl2737_2553),
% 59.37/10.00    inference(avatar_split_clause,[],[f39654,f79426])).
% 59.37/10.00  tff(f79426,plain,(
% 59.37/10.00    spl2737_2553 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topological_monoseq(X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~topological_monoseq(X0,X1) | ~ordered_ab_group_add(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2553])])).
% 59.37/10.00  tff(f39654,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topological_monoseq(X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~topological_monoseq(X0,X1) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20542])).
% 59.37/10.00  tff(f20542,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topological_monoseq(X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1)) | ~topological_monoseq(X0,X1)) | ~ordered_ab_group_add(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12290])).
% 59.37/10.00  tff(f12290,plain,(
% 59.37/10.00    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) => topological_monoseq(X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X1))))),
% 59.37/10.00    inference(rectify,[],[f4019])).
% 59.37/10.00  tff(f4019,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X7 : fun(nat,X0)] : (topological_monoseq(X0,X7) => topological_monoseq(X0,aTP_Lamp_hd(fun(nat,X0),fun(nat,X0),X7))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4018_monoseq__minus)).
% 59.37/10.00  tff(f79424,plain,(
% 59.37/10.00    spl2737_2552),
% 59.37/10.00    inference(avatar_split_clause,[],[f39611,f79422])).
% 59.37/10.00  tff(f79422,plain,(
% 59.37/10.00    spl2737_2552 <=> ! [X0 : $tType] : (topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yj(product_prod(X0,X0),bool))) | ~topolo1944317154257567458pology(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2552])])).
% 59.37/10.00  tff(f39611,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yj(product_prod(X0,X0),bool))) | ~topolo1944317154257567458pology(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20520])).
% 59.37/10.00  tff(f20520,plain,(
% 59.37/10.00    ! [X0 : $tType] : (topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yj(product_prod(X0,X0),bool))) | ~topolo1944317154257567458pology(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f6086])).
% 59.37/10.00  tff(f6086,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yj(product_prod(X0,X0),bool))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6085_open__subdiagonal)).
% 59.37/10.00  tff(f79420,plain,(
% 59.37/10.00    spl2737_2551),
% 59.37/10.00    inference(avatar_split_clause,[],[f39610,f79418])).
% 59.37/10.00  tff(f79418,plain,(
% 59.37/10.00    spl2737_2551 <=> ! [X0 : $tType] : (topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yk(product_prod(X0,X0),bool))) | ~topolo1944317154257567458pology(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2551])])).
% 59.37/10.00  tff(f39610,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yk(product_prod(X0,X0),bool))) | ~topolo1944317154257567458pology(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20519])).
% 59.37/10.00  tff(f20519,plain,(
% 59.37/10.00    ! [X0 : $tType] : (topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yk(product_prod(X0,X0),bool))) | ~topolo1944317154257567458pology(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f6087])).
% 59.37/10.00  tff(f6087,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (topolo1944317154257567458pology(X0) => topolo1002775350975398744n_open(product_prod(X0,X0),collect(product_prod(X0,X0),aTP_Lamp_yk(product_prod(X0,X0),bool))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6086_open__superdiagonal)).
% 59.37/10.00  tff(f79416,plain,(
% 59.37/10.00    spl2737_2550),
% 59.37/10.00    inference(avatar_split_clause,[],[f39421,f79414])).
% 59.37/10.00  tff(f79414,plain,(
% 59.37/10.00    spl2737_2550 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~boolea8198339166811842893lgebra(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2550])])).
% 59.37/10.00  tff(f39421,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~boolea8198339166811842893lgebra(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20390])).
% 59.37/10.00  tff(f20390,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1 | ~boolea8198339166811842893lgebra(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12155])).
% 59.37/10.00  tff(f12155,plain,(
% 59.37/10.00    ! [X0 : $tType] : (boolea8198339166811842893lgebra(X0) => ! [X1 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X1)) = X1)),
% 59.37/10.00    inference(rectify,[],[f450])).
% 59.37/10.00  tff(f450,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (boolea8198339166811842893lgebra(X0) => ! [X14 : X0] : aa(X0,X0,uminus_uminus(X0),aa(X0,X0,uminus_uminus(X0),X14)) = X14)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_449_boolean__algebra__class_Oboolean__algebra_Odouble__compl)).
% 59.37/10.00  tff(f79412,plain,(
% 59.37/10.00    spl2737_2549),
% 59.37/10.00    inference(avatar_split_clause,[],[f39394,f79410])).
% 59.37/10.00  tff(f79410,plain,(
% 59.37/10.00    spl2737_2549 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~ordere166539214618696060dd_abs(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2549])])).
% 59.37/10.00  tff(f39394,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1) | ~ordere166539214618696060dd_abs(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29050])).
% 59.37/10.00  tff(f29050,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,abs_abs(X0),X1))) | ~ordere166539214618696060dd_abs(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20369])).
% 59.37/10.00  tff(f20369,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1) | ~ordere166539214618696060dd_abs(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12138])).
% 59.37/10.00  tff(f12138,plain,(
% 59.37/10.00    ! [X0 : $tType] : (ordere166539214618696060dd_abs(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f769])).
% 59.37/10.00  tff(f769,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ordere166539214618696060dd_abs(X0) => ! [X7 : X0] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),X7) <=> zero_zero(X0) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_768_abs__0__eq)).
% 59.37/10.00  tff(f79408,plain,(
% 59.37/10.00    spl2737_2548),
% 59.37/10.00    inference(avatar_split_clause,[],[f39332,f79406])).
% 59.37/10.00  tff(f79406,plain,(
% 59.37/10.00    spl2737_2548 <=> ! [X0 : $tType,X1 : nat] : (aa(X0,nat,euclid6346220572633701492n_size(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)) = X1 | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2548])])).
% 59.37/10.00  tff(f39332,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (aa(X0,nat,euclid6346220572633701492n_size(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)) = X1 | ~euclid5411537665997757685th_nat(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20310])).
% 59.37/10.00  tff(f20310,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : aa(X0,nat,euclid6346220572633701492n_size(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)) = X1 | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12081])).
% 59.37/10.00  tff(f12081,plain,(
% 59.37/10.00    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X1 : nat] : aa(X0,nat,euclid6346220572633701492n_size(X0),aa(nat,X0,semiring_1_of_nat(X0),X1)) = X1)),
% 59.37/10.00    inference(rectify,[],[f7012])).
% 59.37/10.00  tff(f7012,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X8 : nat] : aa(X0,nat,euclid6346220572633701492n_size(X0),aa(nat,X0,semiring_1_of_nat(X0),X8)) = X8)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7011_euclidean__size__of__nat)).
% 59.37/10.00  tff(f79404,plain,(
% 59.37/10.00    spl2737_2547 | ~spl2737_797 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69291,f68897,f68204,f79401])).
% 59.37/10.00  tff(f79401,plain,(
% 59.37/10.00    spl2737_2547 <=> sP216(extended_enat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2547])])).
% 59.37/10.00  tff(f68204,plain,(
% 59.37/10.00    spl2737_797 <=> preorder(extended_enat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_797])])).
% 59.37/10.00  tff(f69291,plain,(
% 59.37/10.00    sP216(extended_enat) | (~spl2737_797 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68206])).
% 59.37/10.00  tff(f68206,plain,(
% 59.37/10.00    preorder(extended_enat) | ~spl2737_797),
% 59.37/10.00    inference(avatar_component_clause,[],[f68204])).
% 59.37/10.00  tff(f79399,plain,(
% 59.37/10.00    spl2737_2546),
% 59.37/10.00    inference(avatar_split_clause,[],[f39204,f79397])).
% 59.37/10.00  tff(f79397,plain,(
% 59.37/10.00    spl2737_2546 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (modulo_modulo(X0,X1,X2) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~euclid3725896446679973847miring(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2546])])).
% 59.37/10.00  tff(f39204,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (modulo_modulo(X0,X1,X2) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2) | ~euclid3725896446679973847miring(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28993])).
% 59.37/10.00  tff(f28993,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((modulo_modulo(X0,X1,X2) = X1 | zero_zero(X0) != divide_divide(X0,X1,X2)) & (zero_zero(X0) = divide_divide(X0,X1,X2) | modulo_modulo(X0,X1,X2) != X1)) | ~euclid3725896446679973847miring(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20277])).
% 59.37/10.00  tff(f20277,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (modulo_modulo(X0,X1,X2) = X1 <=> zero_zero(X0) = divide_divide(X0,X1,X2)) | ~euclid3725896446679973847miring(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12055])).
% 59.37/10.00  tff(f12055,plain,(
% 59.37/10.00    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X1 : X0,X2 : X0] : (modulo_modulo(X0,X1,X2) = X1 <=> zero_zero(X0) = divide_divide(X0,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f1852])).
% 59.37/10.00  tff(f1852,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => ! [X7 : X0,X49 : X0] : (modulo_modulo(X0,X7,X49) = X7 <=> zero_zero(X0) = divide_divide(X0,X7,X49)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1851_mod__eq__self__iff__div__eq__0)).
% 59.37/10.00  tff(f79395,plain,(
% 59.37/10.00    spl2737_2545),
% 59.37/10.00    inference(avatar_split_clause,[],[f39203,f79393])).
% 59.37/10.00  tff(f79393,plain,(
% 59.37/10.00    spl2737_2545 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | modulo_modulo(X0,X1,X2) != X1 | ~euclid3725896446679973847miring(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2545])])).
% 59.37/10.00  tff(f39203,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | modulo_modulo(X0,X1,X2) != X1 | ~euclid3725896446679973847miring(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28993])).
% 59.37/10.00  tff(f79391,plain,(
% 59.37/10.00    spl2737_2544),
% 59.37/10.00    inference(avatar_split_clause,[],[f38836,f79389])).
% 59.37/10.00  tff(f79389,plain,(
% 59.37/10.00    spl2737_2544 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1) | zero_zero(X0) = X1 | ~division_ring(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2544])])).
% 59.37/10.00  tff(f38836,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1) | zero_zero(X0) = X1 | ~division_ring(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20060])).
% 59.37/10.00  tff(f20060,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1) | zero_zero(X0) = X1) | ~division_ring(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11871])).
% 59.37/10.00  tff(f11871,plain,(
% 59.37/10.00    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : (zero_zero(X0) != X1 => zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X1)))),
% 59.37/10.00    inference(rectify,[],[f481])).
% 59.37/10.00  tff(f481,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0] : (zero_zero(X0) != X7 => zero_zero(X0) != aa(X0,X0,inverse_inverse(X0),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_480_nonzero__imp__inverse__nonzero)).
% 59.37/10.00  tff(f79387,plain,(
% 59.37/10.00    spl2737_2543),
% 59.37/10.00    inference(avatar_split_clause,[],[f38824,f79385])).
% 59.37/10.00  tff(f79385,plain,(
% 59.37/10.00    spl2737_2543 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1 | ~division_ring(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2543])])).
% 59.37/10.00  tff(f38824,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1 | ~division_ring(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20050])).
% 59.37/10.00  tff(f20050,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1 | ~division_ring(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11861])).
% 59.37/10.00  tff(f11861,plain,(
% 59.37/10.00    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X1)) = X1)),
% 59.37/10.00    inference(rectify,[],[f452])).
% 59.37/10.00  tff(f452,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0] : aa(X0,X0,inverse_inverse(X0),aa(X0,X0,inverse_inverse(X0),X7)) = X7)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_451_inverse__inverse__eq)).
% 59.37/10.00  tff(f79383,plain,(
% 59.37/10.00    spl2737_2542),
% 59.37/10.00    inference(avatar_split_clause,[],[f38751,f79381])).
% 59.37/10.00  tff(f79381,plain,(
% 59.37/10.00    spl2737_2542 <=> ! [X0 : $tType,X1 : rat] : (zero_zero(rat) = X1 | zero_zero(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1) | ~field_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2542])])).
% 59.37/10.00  tff(f38751,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : rat] : (zero_zero(rat) = X1 | zero_zero(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1) | ~field_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28879])).
% 59.37/10.00  tff(f28879,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : rat] : ((zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) | zero_zero(rat) != X1) & (zero_zero(rat) = X1 | zero_zero(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1))) | ~field_char_0(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f19979])).
% 59.37/10.00  tff(f19979,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : rat] : (zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) <=> zero_zero(rat) = X1) | ~field_char_0(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11797])).
% 59.37/10.00  tff(f11797,plain,(
% 59.37/10.00    ! [X0 : $tType] : (field_char_0(X0) => ! [X1 : rat] : (zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) <=> zero_zero(rat) = X1))),
% 59.37/10.00    inference(rectify,[],[f6718])).
% 59.37/10.00  tff(f6718,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (field_char_0(X0) => ! [X7 : rat] : (zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),X7) <=> zero_zero(rat) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6717_of__rat__eq__0__iff)).
% 59.37/10.00  tff(f79379,plain,(
% 59.37/10.00    spl2737_2541),
% 59.37/10.00    inference(avatar_split_clause,[],[f38747,f79377])).
% 59.37/10.00  tff(f79377,plain,(
% 59.37/10.00    spl2737_2541 <=> ! [X0 : $tType,X1 : rat] : (one_one(rat) = X1 | one_one(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1) | ~field_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2541])])).
% 59.37/10.00  tff(f38747,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : rat] : (one_one(rat) = X1 | one_one(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1) | ~field_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28877])).
% 59.37/10.00  tff(f28877,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : rat] : ((one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) | one_one(rat) != X1) & (one_one(rat) = X1 | one_one(X0) != aa(rat,X0,field_char_0_of_rat(X0),X1))) | ~field_char_0(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f19977])).
% 59.37/10.00  tff(f19977,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : rat] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) <=> one_one(rat) = X1) | ~field_char_0(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11795])).
% 59.37/10.00  tff(f11795,plain,(
% 59.37/10.00    ! [X0 : $tType] : (field_char_0(X0) => ! [X1 : rat] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X1) <=> one_one(rat) = X1))),
% 59.37/10.00    inference(rectify,[],[f6722])).
% 59.37/10.00  tff(f6722,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (field_char_0(X0) => ! [X7 : rat] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),X7) <=> one_one(rat) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6721_one__eq__of__rat__iff)).
% 59.37/10.00  tff(f79375,plain,(
% 59.37/10.00    spl2737_2540),
% 59.37/10.00    inference(avatar_split_clause,[],[f38658,f79373])).
% 59.37/10.00  tff(f79373,plain,(
% 59.37/10.00    spl2737_2540 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = X1 | one_one(X0) != aa(X0,X0,inverse_inverse(X0),X1) | ~field(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2540])])).
% 59.37/10.00  tff(f38658,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = X1 | one_one(X0) != aa(X0,X0,inverse_inverse(X0),X1) | ~field(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28858])).
% 59.37/10.00  tff(f28858,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) | one_one(X0) != X1) & (one_one(X0) = X1 | one_one(X0) != aa(X0,X0,inverse_inverse(X0),X1))) | ~field(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f19906])).
% 59.37/10.00  tff(f19906,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) <=> one_one(X0) = X1) | ~field(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11738])).
% 59.37/10.00  tff(f11738,plain,(
% 59.37/10.00    ! [X0 : $tType] : (field(X0) => ! [X1 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) <=> one_one(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f444])).
% 59.37/10.00  tff(f444,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (field(X0) => ! [X14 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X14) <=> one_one(X0) = X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_443_inverse__eq__1__iff)).
% 59.37/10.00  tff(f79371,plain,(
% 59.37/10.00    spl2737_2539),
% 59.37/10.00    inference(avatar_split_clause,[],[f38450,f79369])).
% 59.37/10.00  tff(f79369,plain,(
% 59.37/10.00    spl2737_2539 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,X1) | ~summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2539])])).
% 59.37/10.00  tff(f38450,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,X1) | ~summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28799])).
% 59.37/10.00  tff(f28799,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1)) & (summable(X0,X1) | ~summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f19705])).
% 59.37/10.00  tff(f19705,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) <=> summable(X0,X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11575])).
% 59.37/10.00  tff(f11575,plain,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) <=> summable(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f3656])).
% 59.37/10.00  tff(f3656,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X32 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X32)) <=> summable(X0,X32)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3655_summable__minus__iff)).
% 59.37/10.00  tff(f79367,plain,(
% 59.37/10.00    spl2737_2538),
% 59.37/10.00    inference(avatar_split_clause,[],[f38449,f79365])).
% 59.37/10.00  tff(f79365,plain,(
% 59.37/10.00    spl2737_2538 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2538])])).
% 59.37/10.00  tff(f38449,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28798])).
% 59.37/10.00  tff(f28798,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1)) & (summable(X0,X1) | ~summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f19704])).
% 59.37/10.00  tff(f19704,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)) <=> summable(X0,X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11574])).
% 59.37/10.00  tff(f11574,plain,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)) <=> summable(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f3658])).
% 59.37/10.00  tff(f3658,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X32 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X32)) <=> summable(X0,X32)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3657_summable__Suc__iff)).
% 59.37/10.00  tff(f79363,plain,(
% 59.37/10.00    spl2737_2537),
% 59.37/10.00    inference(avatar_split_clause,[],[f38448,f79361])).
% 59.37/10.00  tff(f79361,plain,(
% 59.37/10.00    spl2737_2537 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,X1) | ~summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2537])])).
% 59.37/10.00  tff(f38448,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,X1) | ~summable(X0,aTP_Lamp_bt(fun(nat,X0),fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28798])).
% 59.37/10.00  tff(f79359,plain,(
% 59.37/10.00    spl2737_2536 | ~spl2737_796 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69290,f68897,f68199,f79356])).
% 59.37/10.00  tff(f79356,plain,(
% 59.37/10.00    spl2737_2536 <=> sP216(product_unit)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2536])])).
% 59.37/10.00  tff(f68199,plain,(
% 59.37/10.00    spl2737_796 <=> preorder(product_unit)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_796])])).
% 59.37/10.00  tff(f69290,plain,(
% 59.37/10.00    sP216(product_unit) | (~spl2737_796 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68201])).
% 59.37/10.00  tff(f68201,plain,(
% 59.37/10.00    preorder(product_unit) | ~spl2737_796),
% 59.37/10.00    inference(avatar_component_clause,[],[f68199])).
% 59.37/10.00  tff(f79354,plain,(
% 59.37/10.00    spl2737_2535),
% 59.37/10.00    inference(avatar_split_clause,[],[f38446,f79352])).
% 59.37/10.00  tff(f79352,plain,(
% 59.37/10.00    spl2737_2535 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2535])])).
% 59.37/10.00  tff(f38446,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28797])).
% 59.37/10.00  tff(f28797,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,sgn_sgn(X0),X1))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f19703])).
% 59.37/10.00  tff(f19703,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11573])).
% 59.37/10.00  tff(f11573,plain,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f1963])).
% 59.37/10.00  tff(f1963,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X14 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X14) <=> zero_zero(X0) = X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1962_sgn__zero__iff)).
% 59.37/10.00  tff(f79350,plain,(
% 59.37/10.00    spl2737_2534),
% 59.37/10.00    inference(avatar_split_clause,[],[f38416,f79348])).
% 59.37/10.00  tff(f79348,plain,(
% 59.37/10.00    spl2737_2534 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2534])])).
% 59.37/10.00  tff(f38416,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f19691])).
% 59.37/10.00  tff(f19691,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~summable(X0,X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11561])).
% 59.37/10.00  tff(f11561,plain,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (summable(X0,X1) => filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat))))),
% 59.37/10.00    inference(rectify,[],[f5932])).
% 59.37/10.00  tff(f5932,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X32 : fun(nat,X0)] : (summable(X0,X32) => filterlim(nat,X0,X32,topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5931_summable__LIMSEQ__zero)).
% 59.37/10.00  tff(f79346,plain,(
% 59.37/10.00    spl2737_2533),
% 59.37/10.00    inference(avatar_split_clause,[],[f38415,f79344])).
% 59.37/10.00  tff(f79344,plain,(
% 59.37/10.00    spl2737_2533 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2533])])).
% 59.37/10.00  tff(f38415,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f19690])).
% 59.37/10.00  tff(f19690,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1)) | ~summable(X0,X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11560])).
% 59.37/10.00  tff(f11560,plain,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (summable(X0,X1) => summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X1))))),
% 59.37/10.00    inference(rectify,[],[f3657])).
% 59.37/10.00  tff(f3657,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X32 : fun(nat,X0)] : (summable(X0,X32) => summable(X0,aTP_Lamp_bs(fun(nat,X0),fun(nat,X0),X32))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3656_summable__minus)).
% 59.37/10.00  tff(f79342,plain,(
% 59.37/10.00    spl2737_2532),
% 59.37/10.00    inference(avatar_split_clause,[],[f37487,f79340])).
% 59.37/10.00  tff(f79340,plain,(
% 59.37/10.00    spl2737_2532 <=> ! [X0 : $tType,X1 : int] : (aa(X0,int,archim6421214686448440834_floor(X0),aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2532])])).
% 59.37/10.00  tff(f37487,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : int] : (aa(X0,int,archim6421214686448440834_floor(X0),aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f19181])).
% 59.37/10.00  tff(f19181,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : int] : aa(X0,int,archim6421214686448440834_floor(X0),aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f11148])).
% 59.37/10.00  tff(f11148,plain,(
% 59.37/10.00    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : int] : aa(X0,int,archim6421214686448440834_floor(X0),aa(int,X0,ring_1_of_int(X0),X1)) = X1)),
% 59.37/10.00    inference(rectify,[],[f1795])).
% 59.37/10.00  tff(f1795,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X60 : int] : aa(X0,int,archim6421214686448440834_floor(X0),aa(int,X0,ring_1_of_int(X0),X60)) = X60)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1794_floor__of__int)).
% 59.37/10.00  tff(f79338,plain,(
% 59.37/10.00    spl2737_2531),
% 59.37/10.00    inference(avatar_split_clause,[],[f37132,f79336])).
% 59.37/10.00  tff(f79336,plain,(
% 59.37/10.00    spl2737_2531 <=> ! [X0 : $tType,X1 : set(X0)] : (zero_zero(real) != aa(X0,real,sK675(X0,X1),sK676(X0,X1)) | ~sP21(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2531])])).
% 59.37/10.00  tff(f37132,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(real) != aa(X0,real,sK675(X0,X1),sK676(X0,X1)) | ~sP21(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28284])).
% 59.37/10.00  tff(f28284,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP21(X0,X1) | ! [X2 : fun(X0,real)] : (! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) & ((zero_zero(real) != aa(X0,real,sK675(X0,X1),sK676(X0,X1)) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK675(X0,X1))),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK675(X0,X1)))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK675(X0,X1)))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK675(X0,X1)))))) | ~sP21(X0,X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK675,sK676])],[f28281,f28283,f28282])).
% 59.37/10.00  tff(f28282,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X4 : fun(X0,real)] : (? [X5 : X0] : zero_zero(real) != aa(X0,real,X4,X5) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X4)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))))) => (? [X5 : X0] : zero_zero(real) != aa(X0,real,sK675(X0,X1),X5) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK675(X0,X1))),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK675(X0,X1)))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK675(X0,X1)))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK675(X0,X1)))))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28283,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X5 : X0] : zero_zero(real) != aa(X0,real,sK675(X0,X1),X5) => zero_zero(real) != aa(X0,real,sK675(X0,X1),sK676(X0,X1)))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28281,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP21(X0,X1) | ! [X2 : fun(X0,real)] : (! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) & (? [X4 : fun(X0,real)] : (? [X5 : X0] : zero_zero(real) != aa(X0,real,X4,X5) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X4)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))))) | ~sP21(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f28280])).
% 59.37/10.00  tff(f28280,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP21(X0,X1) | ! [X2 : fun(X0,real)] : (! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) & (? [X2 : fun(X0,real)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,X2,X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))))) | ~sP21(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27123])).
% 59.37/10.00  tff(f27123,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (sP21(X0,X1) <=> ? [X2 : fun(X0,real)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,X2,X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))))))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])])).
% 59.37/10.00  tff(f79334,plain,(
% 59.37/10.00    spl2737_2530),
% 59.37/10.00    inference(avatar_split_clause,[],[f37124,f79332])).
% 59.37/10.00  tff(f79332,plain,(
% 59.37/10.00    spl2737_2530 <=> ! [X0 : $tType,X1 : set(X0)] : (zero_zero(real) != aa(X0,real,sK673(X0,X1),sK674(X0,X1)) | ~sP19(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2530])])).
% 59.37/10.00  tff(f37124,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(real) != aa(X0,real,sK673(X0,X1),sK674(X0,X1)) | ~sP19(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28278])).
% 59.37/10.00  tff(f28278,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP19(X0,X1) | ! [X2 : set(X0)] : (! [X3 : fun(X0,real)] : (! [X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)))) & ((((zero_zero(real) != aa(X0,real,sK673(X0,X1),sK674(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK674(X0,X1)),sK672(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK673(X0,X1))),sK672(X0,X1))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK672(X0,X1)),X1)) & pp(aa(set(X0),bool,finite_finite(X0),sK672(X0,X1)))) | ~sP19(X0,X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK672,sK673,sK674])],[f28274,f28277,f28276,f28275])).
% 59.37/10.00  tff(f28275,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X5 : set(X0)] : (? [X6 : fun(X0,real)] : (? [X7 : X0] : (zero_zero(real) != aa(X0,real,X6,X7) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),X5))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),X5)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X5),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X5))) => (? [X6 : fun(X0,real)] : (? [X7 : X0] : (zero_zero(real) != aa(X0,real,X6,X7) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),sK672(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),sK672(X0,X1))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK672(X0,X1)),X1)) & pp(aa(set(X0),bool,finite_finite(X0),sK672(X0,X1)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28276,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X6 : fun(X0,real)] : (? [X7 : X0] : (zero_zero(real) != aa(X0,real,X6,X7) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),sK672(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),sK672(X0,X1))) => (? [X7 : X0] : (zero_zero(real) != aa(X0,real,sK673(X0,X1),X7) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),sK672(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK673(X0,X1))),sK672(X0,X1))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28277,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X7 : X0] : (zero_zero(real) != aa(X0,real,sK673(X0,X1),X7) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),sK672(X0,X1)))) => (zero_zero(real) != aa(X0,real,sK673(X0,X1),sK674(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK674(X0,X1)),sK672(X0,X1)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28274,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP19(X0,X1) | ! [X2 : set(X0)] : (! [X3 : fun(X0,real)] : (! [X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)))) & (? [X5 : set(X0)] : (? [X6 : fun(X0,real)] : (? [X7 : X0] : (zero_zero(real) != aa(X0,real,X6,X7) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),X5))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),X5)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X5),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X5))) | ~sP19(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f28273])).
% 59.37/10.00  tff(f28273,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP19(X0,X1) | ! [X2 : set(X0)] : (! [X3 : fun(X0,real)] : (! [X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)))) & (? [X2 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X2))) | ~sP19(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27120])).
% 59.37/10.00  tff(f27120,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (sP19(X0,X1) <=> ? [X2 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X2))))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])])).
% 59.37/10.00  tff(f79330,plain,(
% 59.37/10.00    spl2737_2529),
% 59.37/10.00    inference(avatar_split_clause,[],[f37104,f79328])).
% 59.37/10.00  tff(f79328,plain,(
% 59.37/10.00    spl2737_2529 <=> ! [X0 : $tType,X1 : set(X0)] : (sP14(X0,X1) | zero_zero(real) != aa(X0,real,sK666(X0,X1),sK667(X0,X1)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2529])])).
% 59.37/10.00  tff(f37104,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (sP14(X0,X1) | zero_zero(real) != aa(X0,real,sK666(X0,X1),sK667(X0,X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28260])).
% 59.37/10.00  tff(f28260,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP14(X0,X1) | (zero_zero(real) != aa(X0,real,sK666(X0,X1),sK667(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK667(X0,X1)),sK665(X0,X1))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK666(X0,X1))),sK665(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK665(X0,X1)),X1)) & pp(aa(set(X0),bool,finite_finite(X0),sK665(X0,X1))))) & (! [X5 : set(X0),X6 : fun(X0,real),X7 : X0] : (zero_zero(real) = aa(X0,real,X6,X7) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),X5)) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),X5) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X5),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X5))) | ~sP14(X0,X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK665,sK666,sK667])],[f28258,f28259])).
% 59.37/10.00  tff(f28259,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X2))) => (zero_zero(real) != aa(X0,real,sK666(X0,X1),sK667(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK667(X0,X1)),sK665(X0,X1))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK666(X0,X1))),sK665(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK665(X0,X1)),X1)) & pp(aa(set(X0),bool,finite_finite(X0),sK665(X0,X1)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28258,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP14(X0,X1) | ? [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X2)))) & (! [X5 : set(X0),X6 : fun(X0,real),X7 : X0] : (zero_zero(real) = aa(X0,real,X6,X7) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),X5)) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),X5) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X5),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X5))) | ~sP14(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f28257])).
% 59.37/10.00  tff(f28257,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP14(X0,X1) | ? [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X2)))) & (! [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2))) | ~sP14(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27113])).
% 59.37/10.00  tff(f27113,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (sP14(X0,X1) <=> ! [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2))))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])])).
% 59.37/10.00  tff(f79326,plain,(
% 59.37/10.00    spl2737_2528),
% 59.37/10.00    inference(avatar_split_clause,[],[f37095,f79324])).
% 59.37/10.00  tff(f79324,plain,(
% 59.37/10.00    spl2737_2528 <=> ! [X0 : $tType,X1 : set(X0)] : (sP12(X0,X1) | zero_zero(real) != aa(X0,real,sK663(X0,X1),sK664(X0,X1)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2528])])).
% 59.37/10.00  tff(f37095,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (sP12(X0,X1) | zero_zero(real) != aa(X0,real,sK663(X0,X1),sK664(X0,X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28255])).
% 59.37/10.00  tff(f28255,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP12(X0,X1) | (((zero_zero(real) != aa(X0,real,sK663(X0,X1),sK664(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK664(X0,X1)),sK662(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK663(X0,X1))),sK662(X0,X1))) & pp(aa(set(X0),bool,finite_finite(X0),sK662(X0,X1))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK662(X0,X1)),X1)))) & (! [X5 : set(X0)] : (! [X6 : fun(X0,real)] : (! [X7 : X0] : (zero_zero(real) = aa(X0,real,X6,X7) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),X5))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),X5)) | ~pp(aa(set(X0),bool,finite_finite(X0),X5)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X5),X1))) | ~sP12(X0,X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK662,sK663,sK664])],[f28251,f28254,f28253,f28252])).
% 59.37/10.00  tff(f28252,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) & pp(aa(set(X0),bool,finite_finite(X0),X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) => (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),sK662(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),sK662(X0,X1))) & pp(aa(set(X0),bool,finite_finite(X0),sK662(X0,X1))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK662(X0,X1)),X1))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28253,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),sK662(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),sK662(X0,X1))) => (? [X4 : X0] : (zero_zero(real) != aa(X0,real,sK663(X0,X1),X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),sK662(X0,X1)))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK663(X0,X1))),sK662(X0,X1))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28254,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,sK663(X0,X1),X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),sK662(X0,X1)))) => (zero_zero(real) != aa(X0,real,sK663(X0,X1),sK664(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK664(X0,X1)),sK662(X0,X1)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28251,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP12(X0,X1) | ? [X2 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) & pp(aa(set(X0),bool,finite_finite(X0),X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)))) & (! [X5 : set(X0)] : (! [X6 : fun(X0,real)] : (! [X7 : X0] : (zero_zero(real) = aa(X0,real,X6,X7) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),X5))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X6)),X5)) | ~pp(aa(set(X0),bool,finite_finite(X0),X5)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X5),X1))) | ~sP12(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f28250])).
% 59.37/10.00  tff(f28250,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP12(X0,X1) | ? [X2 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) & pp(aa(set(X0),bool,finite_finite(X0),X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)))) & (! [X2 : set(X0)] : (! [X3 : fun(X0,real)] : (! [X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) | ~sP12(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27110])).
% 59.37/10.00  tff(f27110,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (sP12(X0,X1) <=> ! [X2 : set(X0)] : (! [X3 : fun(X0,real)] : (! [X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])])).
% 59.37/10.00  tff(f79322,plain,(
% 59.37/10.00    spl2737_2527),
% 59.37/10.00    inference(avatar_split_clause,[],[f37086,f79320])).
% 59.37/10.00  tff(f79320,plain,(
% 59.37/10.00    spl2737_2527 <=> ! [X0 : $tType,X1 : set(X0)] : (sP10(X0,X1) | zero_zero(real) != aa(X0,real,sK660(X0,X1),sK661(X0,X1)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2527])])).
% 59.37/10.00  tff(f37086,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(X0)] : (sP10(X0,X1) | zero_zero(real) != aa(X0,real,sK660(X0,X1),sK661(X0,X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28248])).
% 59.37/10.00  tff(f28248,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP10(X0,X1) | (zero_zero(real) != aa(X0,real,sK660(X0,X1),sK661(X0,X1)) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK660(X0,X1))),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK660(X0,X1)))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK660(X0,X1)))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK660(X0,X1))))))) & (! [X4 : fun(X0,real)] : (! [X5 : X0] : zero_zero(real) = aa(X0,real,X4,X5) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X4)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))))) | ~sP10(X0,X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK660,sK661])],[f28245,f28247,f28246])).
% 59.37/10.00  tff(f28246,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : fun(X0,real)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,X2,X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))))) => (? [X3 : X0] : zero_zero(real) != aa(X0,real,sK660(X0,X1),X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),sK660(X0,X1))),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK660(X0,X1)))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK660(X0,X1)))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),sK660(X0,X1)))))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28247,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,sK660(X0,X1),X3) => zero_zero(real) != aa(X0,real,sK660(X0,X1),sK661(X0,X1)))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f28245,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP10(X0,X1) | ? [X2 : fun(X0,real)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,X2,X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) & (! [X4 : fun(X0,real)] : (! [X5 : X0] : zero_zero(real) = aa(X0,real,X4,X5) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X4)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X4))))) | ~sP10(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f28244])).
% 59.37/10.00  tff(f28244,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : ((sP10(X0,X1) | ? [X2 : fun(X0,real)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,X2,X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) & (! [X2 : fun(X0,real)] : (! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))))) | ~sP10(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f27107])).
% 59.37/10.00  tff(f27107,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : set(X0)] : (sP10(X0,X1) <=> ! [X2 : fun(X0,real)] : (! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))))))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])])).
% 59.37/10.00  tff(f79318,plain,(
% 59.37/10.00    spl2737_2526),
% 59.37/10.00    inference(avatar_split_clause,[],[f36815,f79316])).
% 59.37/10.00  tff(f79316,plain,(
% 59.37/10.00    spl2737_2526 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2526])])).
% 59.37/10.00  tff(f36815,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28145])).
% 59.37/10.00  tff(f28145,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2) | ~algebr8660921524188924756oprime(X0,X1,X2)) & (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2))) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f18711])).
% 59.37/10.00  tff(f18711,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2) <=> algebr8660921524188924756oprime(X0,X1,X2)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10766])).
% 59.37/10.00  tff(f10766,plain,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2) <=> algebr8660921524188924756oprime(X0,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f7530])).
% 59.37/10.00  tff(f7530,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0,X49 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X7),X49) <=> algebr8660921524188924756oprime(X0,X7,X49)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7529_coprime__normalize__left__iff)).
% 59.37/10.00  tff(f79314,plain,(
% 59.37/10.00    spl2737_2525 | ~spl2737_799 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69289,f68897,f68214,f79311])).
% 59.37/10.00  tff(f79311,plain,(
% 59.37/10.00    spl2737_2525 <=> sP216(code_integer)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2525])])).
% 59.37/10.00  tff(f68214,plain,(
% 59.37/10.00    spl2737_799 <=> preorder(code_integer)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_799])])).
% 59.37/10.00  tff(f69289,plain,(
% 59.37/10.00    sP216(code_integer) | (~spl2737_799 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68216])).
% 59.37/10.00  tff(f68216,plain,(
% 59.37/10.00    preorder(code_integer) | ~spl2737_799),
% 59.37/10.00    inference(avatar_component_clause,[],[f68214])).
% 59.37/10.00  tff(f79309,plain,(
% 59.37/10.00    spl2737_2524),
% 59.37/10.00    inference(avatar_split_clause,[],[f36814,f79307])).
% 59.37/10.00  tff(f79307,plain,(
% 59.37/10.00    spl2737_2524 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2524])])).
% 59.37/10.00  tff(f36814,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,aa(X0,X0,normal6383669964737779283malize(X0),X1),X2) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28145])).
% 59.37/10.00  tff(f79305,plain,(
% 59.37/10.00    spl2737_2523),
% 59.37/10.00    inference(avatar_split_clause,[],[f36813,f79303])).
% 59.37/10.00  tff(f79303,plain,(
% 59.37/10.00    spl2737_2523 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2523])])).
% 59.37/10.00  tff(f36813,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28144])).
% 59.37/10.00  tff(f28144,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)) | ~algebr8660921524188924756oprime(X0,X1,X2)) & (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)))) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f18710])).
% 59.37/10.00  tff(f18710,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)) <=> algebr8660921524188924756oprime(X0,X1,X2)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10765])).
% 59.37/10.00  tff(f10765,plain,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)) <=> algebr8660921524188924756oprime(X0,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f7529])).
% 59.37/10.00  tff(f7529,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0,X49 : X0] : (algebr8660921524188924756oprime(X0,X7,aa(X0,X0,normal6383669964737779283malize(X0),X49)) <=> algebr8660921524188924756oprime(X0,X7,X49)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7528_coprime__normalize__right__iff)).
% 59.37/10.00  tff(f79301,plain,(
% 59.37/10.00    spl2737_2522),
% 59.37/10.00    inference(avatar_split_clause,[],[f36812,f79299])).
% 59.37/10.00  tff(f79299,plain,(
% 59.37/10.00    spl2737_2522 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2522])])).
% 59.37/10.00  tff(f36812,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X2)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28144])).
% 59.37/10.00  tff(f79297,plain,(
% 59.37/10.00    spl2737_2521),
% 59.37/10.00    inference(avatar_split_clause,[],[f36796,f79295])).
% 59.37/10.00  tff(f79295,plain,(
% 59.37/10.00    spl2737_2521 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,normal6383669964737779283malize(X0),X1) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2521])])).
% 59.37/10.00  tff(f36796,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,normal6383669964737779283malize(X0),X1) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28142])).
% 59.37/10.00  tff(f28142,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,normal6383669964737779283malize(X0),X1))) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f18692])).
% 59.37/10.00  tff(f18692,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),X1) <=> zero_zero(X0) = X1) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10751])).
% 59.37/10.00  tff(f10751,plain,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.00    inference(rectify,[],[f7516])).
% 59.37/10.00  tff(f7516,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),X7) <=> zero_zero(X0) = X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7515_normalize__eq__0__iff)).
% 59.37/10.00  tff(f79293,plain,(
% 59.37/10.00    spl2737_2520),
% 59.37/10.00    inference(avatar_split_clause,[],[f36780,f79291])).
% 59.37/10.00  tff(f79291,plain,(
% 59.37/10.00    spl2737_2520 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,normal6383669964737779283malize(X0),X1) = divide_divide(X0,X1,unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2520])])).
% 59.37/10.00  tff(f36780,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,normal6383669964737779283malize(X0),X1) = divide_divide(X0,X1,unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18679])).
% 59.37/10.00  tff(f18679,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,normal6383669964737779283malize(X0),X1) = divide_divide(X0,X1,unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10738])).
% 59.37/10.00  tff(f10738,plain,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : aa(X0,X0,normal6383669964737779283malize(X0),X1) = divide_divide(X0,X1,unit_f5069060285200089521factor(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f7721])).
% 59.37/10.00  tff(f7721,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : aa(X0,X0,normal6383669964737779283malize(X0),X7) = divide_divide(X0,X7,unit_f5069060285200089521factor(X0,X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7720_div__unit__factor)).
% 59.37/10.00  tff(f79289,plain,(
% 59.37/10.00    spl2737_2519),
% 59.37/10.00    inference(avatar_split_clause,[],[f36779,f79287])).
% 59.37/10.00  tff(f79287,plain,(
% 59.37/10.00    spl2737_2519 <=> ! [X0 : $tType,X1 : X0] : (unit_f5069060285200089521factor(X0,X1) = divide_divide(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2519])])).
% 59.37/10.00  tff(f36779,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (unit_f5069060285200089521factor(X0,X1) = divide_divide(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X1)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18678])).
% 59.37/10.00  tff(f18678,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : unit_f5069060285200089521factor(X0,X1) = divide_divide(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10737])).
% 59.37/10.00  tff(f10737,plain,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : unit_f5069060285200089521factor(X0,X1) = divide_divide(X0,X1,aa(X0,X0,normal6383669964737779283malize(X0),X1)))),
% 59.37/10.00    inference(rectify,[],[f7722])).
% 59.37/10.00  tff(f7722,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : unit_f5069060285200089521factor(X0,X7) = divide_divide(X0,X7,aa(X0,X0,normal6383669964737779283malize(X0),X7)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7721_div__normalize)).
% 59.37/10.00  tff(f79285,plain,(
% 59.37/10.00    spl2737_2518),
% 59.37/10.00    inference(avatar_split_clause,[],[f36720,f79283])).
% 59.37/10.00  tff(f79283,plain,(
% 59.37/10.00    spl2737_2518 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,X1) | ~topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1)) | ~topolo1633459387980952147up_add(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2518])])).
% 59.37/10.00  tff(f36720,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,X1) | ~topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1)) | ~topolo1633459387980952147up_add(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28112])).
% 59.37/10.00  tff(f28112,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo6863149650580417670ergent(X0,X1) | ~topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1))) & (topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1)) | ~topolo6863149650580417670ergent(X0,X1))) | ~topolo1633459387980952147up_add(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f18647])).
% 59.37/10.00  tff(f18647,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,X1) <=> topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1))) | ~topolo1633459387980952147up_add(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10712])).
% 59.37/10.00  tff(f10712,plain,(
% 59.37/10.00    ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,X1) <=> topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1))))),
% 59.37/10.00    inference(rectify,[],[f6989])).
% 59.37/10.00  tff(f6989,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X148 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,X148) <=> topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X148))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6988_convergent__minus__iff)).
% 59.37/10.00  tff(f79281,plain,(
% 59.37/10.00    spl2737_2517),
% 59.37/10.00    inference(avatar_split_clause,[],[f36719,f79279])).
% 59.37/10.00  tff(f79279,plain,(
% 59.37/10.00    spl2737_2517 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1)) | ~topolo6863149650580417670ergent(X0,X1) | ~topolo1633459387980952147up_add(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2517])])).
% 59.37/10.00  tff(f36719,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo6863149650580417670ergent(X0,aTP_Lamp_acn(fun(nat,X0),fun(nat,X0),X1)) | ~topolo6863149650580417670ergent(X0,X1) | ~topolo1633459387980952147up_add(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28112])).
% 59.37/10.00  tff(f79277,plain,(
% 59.37/10.00    spl2737_2516),
% 59.37/10.00    inference(avatar_split_clause,[],[f36671,f79275])).
% 59.37/10.00  tff(f79275,plain,(
% 59.37/10.00    spl2737_2516 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~euclid8851590272496341667cancel(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2516])])).
% 59.37/10.00  tff(f36671,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~euclid8851590272496341667cancel(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18601])).
% 59.37/10.00  tff(f18601,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~euclid8851590272496341667cancel(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10673])).
% 59.37/10.00  tff(f10673,plain,(
% 59.37/10.00    ! [X0 : $tType] : (euclid8851590272496341667cancel(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/10.00    inference(rectify,[],[f1814])).
% 59.37/10.00  tff(f1814,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (euclid8851590272496341667cancel(X0) => ! [X7 : X0] : zero_zero(X0) = modulo_modulo(X0,X7,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1813_mod__minus1__right)).
% 59.37/10.00  tff(f79273,plain,(
% 59.37/10.00    spl2737_2515),
% 59.37/10.00    inference(avatar_split_clause,[],[f36574,f79271])).
% 59.37/10.00  tff(f79271,plain,(
% 59.37/10.00    spl2737_2515 <=> ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP7(X0,X2,X1) | ~sP8(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2515])])).
% 59.37/10.00  tff(f36574,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP7(X0,X2,X1) | ~sP8(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28024])).
% 59.37/10.00  tff(f28024,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : ((filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP7(X0,X2,X1)) & (sP7(X0,X2,X1) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)))) | ~sP8(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27103])).
% 59.37/10.00  tff(f27103,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> sP7(X0,X2,X1)) | ~sP8(X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])).
% 59.37/10.00  tff(f79269,plain,(
% 59.37/10.00    spl2737_2514 | ~spl2737_798 | ~spl2737_960),
% 59.37/10.00    inference(avatar_split_clause,[],[f69288,f68897,f68209,f79266])).
% 59.37/10.00  tff(f79266,plain,(
% 59.37/10.00    spl2737_2514 <=> sP216(code_natural)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2514])])).
% 59.37/10.00  tff(f68209,plain,(
% 59.37/10.00    spl2737_798 <=> preorder(code_natural)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_798])])).
% 59.37/10.00  tff(f69288,plain,(
% 59.37/10.00    sP216(code_natural) | (~spl2737_798 | ~spl2737_960)),
% 59.37/10.00    inference(resolution,[],[f68898,f68211])).
% 59.37/10.00  tff(f68211,plain,(
% 59.37/10.00    preorder(code_natural) | ~spl2737_798),
% 59.37/10.00    inference(avatar_component_clause,[],[f68209])).
% 59.37/10.00  tff(f79264,plain,(
% 59.37/10.00    spl2737_2513),
% 59.37/10.00    inference(avatar_split_clause,[],[f36573,f79262])).
% 59.37/10.00  tff(f79262,plain,(
% 59.37/10.00    spl2737_2513 <=> ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (sP7(X0,X2,X1) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP8(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2513])])).
% 59.37/10.00  tff(f36573,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(nat,X0)] : (sP7(X0,X2,X1) | ~filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) | ~sP8(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28024])).
% 59.37/10.00  tff(f79260,plain,(
% 59.37/10.00    spl2737_2512),
% 59.37/10.00    inference(avatar_split_clause,[],[f36439,f79258])).
% 59.37/10.00  tff(f79258,plain,(
% 59.37/10.00    spl2737_2512 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~ring_gcd(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2512])])).
% 59.37/10.00  tff(f36439,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~ring_gcd(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f27971])).
% 59.37/10.00  tff(f27971,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~algebr8660921524188924756oprime(X0,X1,X2)) & (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2))) | ~ring_gcd(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f18457])).
% 59.37/10.00  tff(f18457,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) <=> algebr8660921524188924756oprime(X0,X1,X2)) | ~ring_gcd(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10550])).
% 59.37/10.00  tff(f10550,plain,(
% 59.37/10.00    ! [X0 : $tType] : (ring_gcd(X0) => ! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) <=> algebr8660921524188924756oprime(X0,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f6792])).
% 59.37/10.00  tff(f6792,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ring_gcd(X0) => ! [X7 : X0,X49 : X0] : (algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X7),X49) <=> algebr8660921524188924756oprime(X0,X7,X49)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6791_coprime__minus__left__iff)).
% 59.37/10.00  tff(f79256,plain,(
% 59.37/10.00    spl2737_2511),
% 59.37/10.00    inference(avatar_split_clause,[],[f36438,f79254])).
% 59.37/10.00  tff(f79254,plain,(
% 59.37/10.00    spl2737_2511 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~ring_gcd(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2511])])).
% 59.37/10.00  tff(f36438,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,aa(X0,X0,uminus_uminus(X0),X1),X2) | ~ring_gcd(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f27971])).
% 59.37/10.00  tff(f79252,plain,(
% 59.37/10.00    spl2737_2510),
% 59.37/10.00    inference(avatar_split_clause,[],[f36437,f79250])).
% 59.37/10.00  tff(f79250,plain,(
% 59.37/10.00    spl2737_2510 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~ring_gcd(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2510])])).
% 59.37/10.00  tff(f36437,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~algebr8660921524188924756oprime(X0,X1,X2) | ~ring_gcd(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f27970])).
% 59.37/10.00  tff(f27970,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~algebr8660921524188924756oprime(X0,X1,X2)) & (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)))) | ~ring_gcd(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f18456])).
% 59.37/10.00  tff(f18456,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) <=> algebr8660921524188924756oprime(X0,X1,X2)) | ~ring_gcd(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10549])).
% 59.37/10.00  tff(f10549,plain,(
% 59.37/10.00    ! [X0 : $tType] : (ring_gcd(X0) => ! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) <=> algebr8660921524188924756oprime(X0,X1,X2)))),
% 59.37/10.00    inference(rectify,[],[f6793])).
% 59.37/10.00  tff(f6793,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (ring_gcd(X0) => ! [X7 : X0,X49 : X0] : (algebr8660921524188924756oprime(X0,X7,aa(X0,X0,uminus_uminus(X0),X49)) <=> algebr8660921524188924756oprime(X0,X7,X49)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6792_coprime__minus__right__iff)).
% 59.37/10.00  tff(f79248,plain,(
% 59.37/10.00    spl2737_2509),
% 59.37/10.00    inference(avatar_split_clause,[],[f36436,f79246])).
% 59.37/10.00  tff(f79246,plain,(
% 59.37/10.00    spl2737_2509 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~ring_gcd(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2509])])).
% 59.37/10.00  tff(f36436,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X1,aa(X0,X0,uminus_uminus(X0),X2)) | ~ring_gcd(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f27970])).
% 59.37/10.00  tff(f79235,plain,(
% 59.37/10.00    spl2737_2508 | ~spl2737_2507),
% 59.37/10.00    inference(avatar_split_clause,[],[f79231,f79228,f79233])).
% 59.37/10.00  tff(f79228,plain,(
% 59.37/10.00    spl2737_2507 <=> ! [X0 : vEBT_VEBT] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),sK579(X0))) | vEBT_VEBT_minNull(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2507])])).
% 59.37/10.00  tff(f79231,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT] : (pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,sK579(X0)),X0)) | vEBT_VEBT_minNull(X0)) ) | ~spl2737_2507),
% 59.37/10.00    inference(forward_demodulation,[],[f79229,f50171])).
% 59.37/10.00  tff(f79229,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),sK579(X0))) | vEBT_VEBT_minNull(X0)) ) | ~spl2737_2507),
% 59.37/10.00    inference(avatar_component_clause,[],[f79228])).
% 59.37/10.00  tff(f79230,plain,(
% 59.37/10.00    spl2737_2507),
% 59.37/10.00    inference(avatar_split_clause,[],[f36405,f79228])).
% 59.37/10.00  tff(f36405,plain,(
% 59.37/10.00    ( ! [X0 : vEBT_VEBT] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),sK579(X0))) | vEBT_VEBT_minNull(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f27961])).
% 59.37/10.00  tff(f27961,plain,(
% 59.37/10.00    ! [X0 : vEBT_VEBT] : (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),sK579(X0))) | vEBT_VEBT_minNull(X0))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK579])],[f18426,f27960])).
% 59.37/10.00  tff(f27960,plain,(
% 59.37/10.00    ! [X0 : vEBT_VEBT] : (? [X1 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),sK579(X0))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f18426,plain,(
% 59.37/10.00    ! [X0 : vEBT_VEBT] : (? [X1 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)) | vEBT_VEBT_minNull(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10522])).
% 59.37/10.00  tff(f10522,plain,(
% 59.37/10.00    ! [X0 : vEBT_VEBT] : (~vEBT_VEBT_minNull(X0) => ? [X1 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X0),X1)))),
% 59.37/10.00    inference(rectify,[],[f258])).
% 59.37/10.00  tff(f258,axiom,(
% 59.37/10.00    ! [X41 : vEBT_VEBT] : (~vEBT_VEBT_minNull(X41) => ? [X64 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X41),X64)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_not__min__Null__member)).
% 59.37/10.00  tff(f79226,plain,(
% 59.37/10.00    spl2737_2506),
% 59.37/10.00    inference(avatar_split_clause,[],[f36332,f79224])).
% 59.37/10.00  tff(f79224,plain,(
% 59.37/10.00    spl2737_2506 <=> ! [X0 : complex] : (arg(X0) = fChoice(real,aTP_Lamp_he(complex,fun(real,bool),X0)) | zero_zero(complex) = X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2506])])).
% 59.37/10.00  tff(f36332,plain,(
% 59.37/10.00    ( ! [X0 : complex] : (arg(X0) = fChoice(real,aTP_Lamp_he(complex,fun(real,bool),X0)) | zero_zero(complex) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18394])).
% 59.37/10.00  tff(f18394,plain,(
% 59.37/10.00    ! [X0 : complex] : ((arg(X0) = fChoice(real,aTP_Lamp_he(complex,fun(real,bool),X0)) | zero_zero(complex) = X0) & (zero_zero(real) = arg(X0) | zero_zero(complex) != X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10488])).
% 59.37/10.00  tff(f10488,plain,(
% 59.37/10.00    ! [X0 : complex] : ((zero_zero(complex) != X0 => arg(X0) = fChoice(real,aTP_Lamp_he(complex,fun(real,bool),X0))) & (zero_zero(complex) = X0 => zero_zero(real) = arg(X0)))),
% 59.37/10.00    inference(rectify,[],[f4020])).
% 59.37/10.00  tff(f4020,axiom,(
% 59.37/10.00    ! [X60 : complex] : ((zero_zero(complex) != X60 => arg(X60) = fChoice(real,aTP_Lamp_he(complex,fun(real,bool),X60))) & (zero_zero(complex) = X60 => zero_zero(real) = arg(X60)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4019_Arg__def)).
% 59.37/10.00  tff(f79222,plain,(
% 59.37/10.00    spl2737_2505),
% 59.37/10.00    inference(avatar_split_clause,[],[f35957,f79220])).
% 59.37/10.00  tff(f79220,plain,(
% 59.37/10.00    spl2737_2505 <=> ! [X0 : int] : eucl_rel_int(X0,zero_zero(int),aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2505])])).
% 59.37/10.00  tff(f35957,plain,(
% 59.37/10.00    ( ! [X0 : int] : (eucl_rel_int(X0,zero_zero(int),aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10120])).
% 59.37/10.00  tff(f10120,plain,(
% 59.37/10.00    ! [X0 : int] : eucl_rel_int(X0,zero_zero(int),aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0))),
% 59.37/10.00    inference(rectify,[],[f3335])).
% 59.37/10.00  tff(f3335,axiom,(
% 59.37/10.00    ! [X18 : int] : eucl_rel_int(X18,zero_zero(int),aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X18))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3334_eucl__rel__int__by0)).
% 59.37/10.00  tff(f79218,plain,(
% 59.37/10.00    spl2737_2504 | ~spl2737_782 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69287,f68893,f68129,f79215])).
% 59.37/10.00  tff(f79215,plain,(
% 59.37/10.00    spl2737_2504 <=> sP205(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2504])])).
% 59.37/10.00  tff(f68129,plain,(
% 59.37/10.00    spl2737_782 <=> linorder(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_782])])).
% 59.37/10.00  tff(f68893,plain,(
% 59.37/10.00    spl2737_959 <=> ! [X0 : $tType] : (sP205(X0) | ~linorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_959])])).
% 59.37/10.00  tff(f69287,plain,(
% 59.37/10.00    sP205(int) | (~spl2737_782 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68131])).
% 59.37/10.00  tff(f68131,plain,(
% 59.37/10.00    linorder(int) | ~spl2737_782),
% 59.37/10.00    inference(avatar_component_clause,[],[f68129])).
% 59.37/10.00  tff(f68894,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~linorder(X0) | sP205(X0)) ) | ~spl2737_959),
% 59.37/10.00    inference(avatar_component_clause,[],[f68893])).
% 59.37/10.00  tff(f79213,plain,(
% 59.37/10.00    spl2737_2503),
% 59.37/10.00    inference(avatar_split_clause,[],[f35954,f79211])).
% 59.37/10.00  tff(f79211,plain,(
% 59.37/10.00    spl2737_2503 <=> ! [X0 : nat] : aa(product_prod(nat,nat),nat,nat_prod_encode,aa(nat,product_prod(nat,nat),nat_prod_decode,X0)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2503])])).
% 59.37/10.00  tff(f35954,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(product_prod(nat,nat),nat,nat_prod_encode,aa(nat,product_prod(nat,nat),nat_prod_decode,X0)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10117])).
% 59.37/10.00  tff(f10117,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(product_prod(nat,nat),nat,nat_prod_encode,aa(nat,product_prod(nat,nat),nat_prod_decode,X0)) = X0),
% 59.37/10.00    inference(rectify,[],[f7115])).
% 59.37/10.00  tff(f7115,axiom,(
% 59.37/10.00    ! [X8 : nat] : aa(product_prod(nat,nat),nat,nat_prod_encode,aa(nat,product_prod(nat,nat),nat_prod_decode,X8)) = X8),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7114_prod__decode__inverse)).
% 59.37/10.00  tff(f79209,plain,(
% 59.37/10.00    spl2737_2502),
% 59.37/10.00    inference(avatar_split_clause,[],[f35953,f79207])).
% 59.37/10.00  tff(f79207,plain,(
% 59.37/10.00    spl2737_2502 <=> ! [X0 : nat] : aa(sum_sum(nat,nat),nat,nat_sum_encode,aa(nat,sum_sum(nat,nat),nat_sum_decode,X0)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2502])])).
% 59.37/10.00  tff(f35953,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(sum_sum(nat,nat),nat,nat_sum_encode,aa(nat,sum_sum(nat,nat),nat_sum_decode,X0)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10116])).
% 59.37/10.00  tff(f10116,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(sum_sum(nat,nat),nat,nat_sum_encode,aa(nat,sum_sum(nat,nat),nat_sum_decode,X0)) = X0),
% 59.37/10.00    inference(rectify,[],[f8091])).
% 59.37/10.00  tff(f8091,axiom,(
% 59.37/10.00    ! [X8 : nat] : aa(sum_sum(nat,nat),nat,nat_sum_encode,aa(nat,sum_sum(nat,nat),nat_sum_decode,X8)) = X8),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8090_sum__decode__inverse)).
% 59.37/10.00  tff(f79205,plain,(
% 59.37/10.00    spl2737_2501),
% 59.37/10.00    inference(avatar_split_clause,[],[f35952,f79203])).
% 59.37/10.00  tff(f79203,plain,(
% 59.37/10.00    spl2737_2501 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),one_one(nat)),X0) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2501])])).
% 59.37/10.00  tff(f35952,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),one_one(nat)),X0) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10115])).
% 59.37/10.00  tff(f10115,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),one_one(nat)),X0) = X0),
% 59.37/10.00    inference(rectify,[],[f1348])).
% 59.37/10.00  tff(f1348,axiom,(
% 59.37/10.00    ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),one_one(nat)),X8) = X8),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1347_nat__mult__1)).
% 59.37/10.00  tff(f79201,plain,(
% 59.37/10.00    spl2737_2500),
% 59.37/10.00    inference(avatar_split_clause,[],[f35946,f79199])).
% 59.37/10.00  tff(f79199,plain,(
% 59.37/10.00    spl2737_2500 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),one_one(nat)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2500])])).
% 59.37/10.00  tff(f35946,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),one_one(nat)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10109])).
% 59.37/10.00  tff(f10109,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),one_one(nat)) = X0),
% 59.37/10.00    inference(rectify,[],[f1349])).
% 59.37/10.00  tff(f1349,axiom,(
% 59.37/10.00    ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X8),one_one(nat)) = X8),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1348_nat__mult__1__right)).
% 59.37/10.00  tff(f79197,plain,(
% 59.37/10.00    spl2737_2499),
% 59.37/10.00    inference(avatar_split_clause,[],[f35939,f79195])).
% 59.37/10.00  tff(f79195,plain,(
% 59.37/10.00    spl2737_2499 <=> ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X0) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2499])])).
% 59.37/10.00  tff(f35939,plain,(
% 59.37/10.00    ( ! [X0 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X0) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10102])).
% 59.37/10.00  tff(f10102,plain,(
% 59.37/10.00    ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X0) = X0),
% 59.37/10.00    inference(rectify,[],[f248])).
% 59.37/10.00  tff(f248,axiom,(
% 59.37/10.00    ! [X51 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),zero_zero(int)),X51) = X51),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_plus__int__code_I2_J)).
% 59.37/10.00  tff(f79193,plain,(
% 59.37/10.00    spl2737_2498),
% 59.37/10.00    inference(avatar_split_clause,[],[f35938,f79191])).
% 59.37/10.00  tff(f79191,plain,(
% 59.37/10.00    spl2737_2498 <=> ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),zero_zero(int)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2498])])).
% 59.37/10.00  tff(f35938,plain,(
% 59.37/10.00    ( ! [X0 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),zero_zero(int)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10101])).
% 59.37/10.00  tff(f10101,plain,(
% 59.37/10.00    ! [X0 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),zero_zero(int)) = X0),
% 59.37/10.00    inference(rectify,[],[f249])).
% 59.37/10.00  tff(f249,axiom,(
% 59.37/10.00    ! [X18 : int] : aa(int,int,aa(int,fun(int,int),plus_plus(int),X18),zero_zero(int)) = X18),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_plus__int__code_I1_J)).
% 59.37/10.00  tff(f79189,plain,(
% 59.37/10.00    spl2737_2497),
% 59.37/10.00    inference(avatar_split_clause,[],[f35937,f79187])).
% 59.37/10.00  tff(f79187,plain,(
% 59.37/10.00    spl2737_2497 <=> ! [X0 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),zero_zero(int)) = X0),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2497])])).
% 59.37/10.00  tff(f35937,plain,(
% 59.37/10.00    ( ! [X0 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),zero_zero(int)) = X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10100])).
% 59.37/10.00  tff(f10100,plain,(
% 59.37/10.00    ! [X0 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),X0),zero_zero(int)) = X0),
% 59.37/10.00    inference(rectify,[],[f250])).
% 59.37/10.00  tff(f250,axiom,(
% 59.37/10.00    ! [X18 : int] : aa(int,int,aa(int,fun(int,int),minus_minus(int),X18),zero_zero(int)) = X18),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_minus__int__code_I1_J)).
% 59.37/10.00  tff(f79185,plain,(
% 59.37/10.00    spl2737_2496),
% 59.37/10.00    inference(avatar_split_clause,[],[f35935,f79183])).
% 59.37/10.00  tff(f79183,plain,(
% 59.37/10.00    spl2737_2496 <=> ! [X0 : num] : aa(num,nat,nat_of_num,X0) = aa(int,nat,nat2,aa(num,int,pos,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2496])])).
% 59.37/10.00  tff(f35935,plain,(
% 59.37/10.00    ( ! [X0 : num] : (aa(num,nat,nat_of_num,X0) = aa(int,nat,nat2,aa(num,int,pos,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10098])).
% 59.37/10.00  tff(f10098,plain,(
% 59.37/10.00    ! [X0 : num] : aa(num,nat,nat_of_num,X0) = aa(int,nat,nat2,aa(num,int,pos,X0))),
% 59.37/10.00    inference(rectify,[],[f8025])).
% 59.37/10.00  tff(f8025,axiom,(
% 59.37/10.00    ! [X18 : num] : aa(int,nat,nat2,aa(num,int,pos,X18)) = aa(num,nat,nat_of_num,X18)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8024_nat__code_I3_J)).
% 59.37/10.00  tff(f79181,plain,(
% 59.37/10.00    spl2737_2495),
% 59.37/10.00    inference(avatar_split_clause,[],[f35933,f79179])).
% 59.37/10.00  tff(f79179,plain,(
% 59.37/10.00    spl2737_2495 <=> ! [X0 : nat] : aa(nat,real,diffs(real,cos_coeff),X0) = aa(real,real,uminus_uminus(real),sin_coeff(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2495])])).
% 59.37/10.00  tff(f35933,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (aa(nat,real,diffs(real,cos_coeff),X0) = aa(real,real,uminus_uminus(real),sin_coeff(X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10096])).
% 59.37/10.00  tff(f10096,plain,(
% 59.37/10.00    ! [X0 : nat] : aa(nat,real,diffs(real,cos_coeff),X0) = aa(real,real,uminus_uminus(real),sin_coeff(X0))),
% 59.37/10.00    inference(rectify,[],[f3892])).
% 59.37/10.00  tff(f3892,axiom,(
% 59.37/10.00    ! [X63 : nat] : aa(nat,real,diffs(real,cos_coeff),X63) = aa(real,real,uminus_uminus(real),sin_coeff(X63))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3891_diffs__cos__coeff)).
% 59.37/10.00  tff(f79177,plain,(
% 59.37/10.00    spl2737_2494),
% 59.37/10.00    inference(avatar_split_clause,[],[f35932,f79175])).
% 59.37/10.00  tff(f79173,plain,(
% 59.37/10.00    spl2737_2493 | ~spl2737_784 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69286,f68893,f68139,f79170])).
% 59.37/10.00  tff(f79170,plain,(
% 59.37/10.00    spl2737_2493 <=> sP205(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2493])])).
% 59.37/10.00  tff(f68139,plain,(
% 59.37/10.00    spl2737_784 <=> linorder(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_784])])).
% 59.37/10.00  tff(f69286,plain,(
% 59.37/10.00    sP205(nat) | (~spl2737_784 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68141])).
% 59.37/10.00  tff(f68141,plain,(
% 59.37/10.00    linorder(nat) | ~spl2737_784),
% 59.37/10.00    inference(avatar_component_clause,[],[f68139])).
% 59.37/10.00  tff(f79168,plain,(
% 59.37/10.00    spl2737_2492),
% 59.37/10.00    inference(avatar_split_clause,[],[f35931,f79166])).
% 59.37/10.00  tff(f79166,plain,(
% 59.37/10.00    spl2737_2492 <=> ! [X0 : complex] : aa(real,real,uminus_uminus(real),re(X0)) = re(aa(complex,complex,uminus_uminus(complex),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2492])])).
% 59.37/10.00  tff(f35931,plain,(
% 59.37/10.00    ( ! [X0 : complex] : (aa(real,real,uminus_uminus(real),re(X0)) = re(aa(complex,complex,uminus_uminus(complex),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10094])).
% 59.37/10.00  tff(f10094,plain,(
% 59.37/10.00    ! [X0 : complex] : aa(real,real,uminus_uminus(real),re(X0)) = re(aa(complex,complex,uminus_uminus(complex),X0))),
% 59.37/10.00    inference(rectify,[],[f4741])).
% 59.37/10.00  tff(f4741,axiom,(
% 59.37/10.00    ! [X14 : complex] : aa(real,real,uminus_uminus(real),re(X14)) = re(aa(complex,complex,uminus_uminus(complex),X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4740_uminus__complex_Osimps_I1_J)).
% 59.37/10.00  tff(f79164,plain,(
% 59.37/10.00    spl2737_2491),
% 59.37/10.00    inference(avatar_split_clause,[],[f35927,f79162])).
% 59.37/10.00  tff(f79162,plain,(
% 59.37/10.00    spl2737_2491 <=> ! [X0 : real] : aa(real,int,archim6421214686448440834_floor(real),X0) = the(int,aTP_Lamp_kd(real,fun(int,bool),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2491])])).
% 59.37/10.00  tff(f35927,plain,(
% 59.37/10.00    ( ! [X0 : real] : (aa(real,int,archim6421214686448440834_floor(real),X0) = the(int,aTP_Lamp_kd(real,fun(int,bool),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10090])).
% 59.37/10.00  tff(f10090,plain,(
% 59.37/10.00    ! [X0 : real] : aa(real,int,archim6421214686448440834_floor(real),X0) = the(int,aTP_Lamp_kd(real,fun(int,bool),X0))),
% 59.37/10.00    inference(rectify,[],[f4415])).
% 59.37/10.00  tff(f4415,axiom,(
% 59.37/10.00    ! [X14 : real] : aa(real,int,archim6421214686448440834_floor(real),X14) = the(int,aTP_Lamp_kd(real,fun(int,bool),X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4414_floor__real__def)).
% 59.37/10.00  tff(f79160,plain,(
% 59.37/10.00    spl2737_2490),
% 59.37/10.00    inference(avatar_split_clause,[],[f35926,f79158])).
% 59.37/10.00  tff(f79158,plain,(
% 59.37/10.00    spl2737_2490 <=> ! [X0 : rat] : aa(rat,int,archim6421214686448440834_floor(rat),X0) = the(int,aTP_Lamp_ke(rat,fun(int,bool),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2490])])).
% 59.37/10.00  tff(f35926,plain,(
% 59.37/10.00    ( ! [X0 : rat] : (aa(rat,int,archim6421214686448440834_floor(rat),X0) = the(int,aTP_Lamp_ke(rat,fun(int,bool),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10089])).
% 59.37/10.00  tff(f10089,plain,(
% 59.37/10.00    ! [X0 : rat] : aa(rat,int,archim6421214686448440834_floor(rat),X0) = the(int,aTP_Lamp_ke(rat,fun(int,bool),X0))),
% 59.37/10.00    inference(rectify,[],[f4470])).
% 59.37/10.00  tff(f4470,axiom,(
% 59.37/10.00    ! [X14 : rat] : aa(rat,int,archim6421214686448440834_floor(rat),X14) = the(int,aTP_Lamp_ke(rat,fun(int,bool),X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4469_floor__rat__def)).
% 59.37/10.00  tff(f79156,plain,(
% 59.37/10.00    spl2737_2489),
% 59.37/10.00    inference(avatar_split_clause,[],[f35923,f79154])).
% 59.37/10.00  tff(f79154,plain,(
% 59.37/10.00    spl2737_2489 <=> ! [X0 : int] : aa(int,nat,nat2,X0) = aa(code_integer,nat,code_Target_Nat,aa(int,code_integer,code_integer_of_int,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2489])])).
% 59.37/10.00  tff(f35923,plain,(
% 59.37/10.00    ( ! [X0 : int] : (aa(int,nat,nat2,X0) = aa(code_integer,nat,code_Target_Nat,aa(int,code_integer,code_integer_of_int,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10086])).
% 59.37/10.00  tff(f10086,plain,(
% 59.37/10.00    ! [X0 : int] : aa(int,nat,nat2,X0) = aa(code_integer,nat,code_Target_Nat,aa(int,code_integer,code_integer_of_int,X0))),
% 59.37/10.00    inference(rectify,[],[f5568])).
% 59.37/10.00  tff(f5568,axiom,(
% 59.37/10.00    ! [X14 : int] : aa(int,nat,nat2,X14) = aa(code_integer,nat,code_Target_Nat,aa(int,code_integer,code_integer_of_int,X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5567_Code__Target__Nat_ONat_Oabs__eq)).
% 59.37/10.00  tff(f79152,plain,(
% 59.37/10.00    spl2737_2488),
% 59.37/10.00    inference(avatar_split_clause,[],[f35920,f79150])).
% 59.37/10.00  tff(f79150,plain,(
% 59.37/10.00    spl2737_2488 <=> ! [X0 : set(nat)] : gcd_Gcd(nat,X0) = gcd_Lcm(nat,collect(nat,aTP_Lamp_afp(set(nat),fun(nat,bool),X0)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2488])])).
% 59.37/10.00  tff(f35920,plain,(
% 59.37/10.00    ( ! [X0 : set(nat)] : (gcd_Gcd(nat,X0) = gcd_Lcm(nat,collect(nat,aTP_Lamp_afp(set(nat),fun(nat,bool),X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10084])).
% 59.37/10.00  tff(f10084,plain,(
% 59.37/10.00    ! [X0 : set(nat)] : gcd_Gcd(nat,X0) = gcd_Lcm(nat,collect(nat,aTP_Lamp_afp(set(nat),fun(nat,bool),X0)))),
% 59.37/10.00    inference(rectify,[],[f7510])).
% 59.37/10.00  tff(f7510,axiom,(
% 59.37/10.00    ! [X210 : set(nat)] : gcd_Gcd(nat,X210) = gcd_Lcm(nat,collect(nat,aTP_Lamp_afp(set(nat),fun(nat,bool),X210)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7509_Gcd__nat__def)).
% 59.37/10.00  tff(f79148,plain,(
% 59.37/10.00    spl2737_2487),
% 59.37/10.00    inference(avatar_split_clause,[],[f35919,f79146])).
% 59.37/10.00  tff(f79146,plain,(
% 59.37/10.00    spl2737_2487 <=> ! [X0 : product_prod(int,int)] : frct(X0) = aa(rat,rat,uminus_uminus(rat),aa(rat,rat,uminus_uminus(rat),frct(X0)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2487])])).
% 59.37/10.00  tff(f35919,plain,(
% 59.37/10.00    ( ! [X0 : product_prod(int,int)] : (frct(X0) = aa(rat,rat,uminus_uminus(rat),aa(rat,rat,uminus_uminus(rat),frct(X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10083])).
% 59.37/10.00  tff(f10083,plain,(
% 59.37/10.00    ! [X0 : product_prod(int,int)] : frct(X0) = aa(rat,rat,uminus_uminus(rat),aa(rat,rat,uminus_uminus(rat),frct(X0)))),
% 59.37/10.00    inference(rectify,[],[f4550])).
% 59.37/10.00  tff(f4550,axiom,(
% 59.37/10.00    ! [X134 : product_prod(int,int)] : frct(X134) = aa(rat,rat,uminus_uminus(rat),aa(rat,rat,uminus_uminus(rat),frct(X134)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4549_Frct__code__post_I9_J)).
% 59.37/10.00  tff(f79144,plain,(
% 59.37/10.00    spl2737_2486),
% 59.37/10.00    inference(avatar_split_clause,[],[f35915,f79142])).
% 59.37/10.00  tff(f79142,plain,(
% 59.37/10.00    spl2737_2486 <=> ! [X0 : int] : zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,zero_zero(int)),X0)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2486])])).
% 59.37/10.00  tff(f35915,plain,(
% 59.37/10.00    ( ! [X0 : int] : (zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,zero_zero(int)),X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10079])).
% 59.37/10.00  tff(f10079,plain,(
% 59.37/10.00    ! [X0 : int] : zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,zero_zero(int)),X0)),
% 59.37/10.00    inference(rectify,[],[f4982])).
% 59.37/10.00  tff(f4982,axiom,(
% 59.37/10.00    ! [X18 : int] : zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,zero_zero(int)),X18)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4981_rat__number__collapse_I1_J)).
% 59.37/10.00  tff(f79140,plain,(
% 59.37/10.00    spl2737_2485),
% 59.37/10.00    inference(avatar_split_clause,[],[f35914,f79138])).
% 59.37/10.00  tff(f79138,plain,(
% 59.37/10.00    spl2737_2485 <=> ! [X0 : int] : zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,X0),zero_zero(int))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2485])])).
% 59.37/10.00  tff(f35914,plain,(
% 59.37/10.00    ( ! [X0 : int] : (zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,X0),zero_zero(int))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10078])).
% 59.37/10.00  tff(f10078,plain,(
% 59.37/10.00    ! [X0 : int] : zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,X0),zero_zero(int))),
% 59.37/10.00    inference(rectify,[],[f4983])).
% 59.37/10.00  tff(f4983,axiom,(
% 59.37/10.00    ! [X18 : int] : zero_zero(rat) = aa(int,rat,aa(int,fun(int,rat),fract,X18),zero_zero(int))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4982_rat__number__collapse_I6_J)).
% 59.37/10.00  tff(f79136,plain,(
% 59.37/10.00    spl2737_2484),
% 59.37/10.00    inference(avatar_split_clause,[],[f35913,f79134])).
% 59.37/10.00  tff(f79134,plain,(
% 59.37/10.00    spl2737_2484 <=> ! [X0 : int] : zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2484])])).
% 59.37/10.00  tff(f35913,plain,(
% 59.37/10.00    ( ! [X0 : int] : (zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10077])).
% 59.37/10.00  tff(f10077,plain,(
% 59.37/10.00    ! [X0 : int] : zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X0))),
% 59.37/10.00    inference(rectify,[],[f4553])).
% 59.37/10.00  tff(f4553,axiom,(
% 59.37/10.00    ! [X7 : int] : zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4552_Frct__code__post_I1_J)).
% 59.37/10.00  tff(f79132,plain,(
% 59.37/10.00    spl2737_2483),
% 59.37/10.00    inference(avatar_split_clause,[],[f35912,f79130])).
% 59.37/10.00  tff(f79130,plain,(
% 59.37/10.00    spl2737_2483 <=> ! [X0 : int] : zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,X0),zero_zero(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2483])])).
% 59.37/10.00  tff(f35912,plain,(
% 59.37/10.00    ( ! [X0 : int] : (zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,X0),zero_zero(int)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10076])).
% 59.37/10.00  tff(f10076,plain,(
% 59.37/10.00    ! [X0 : int] : zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,X0),zero_zero(int)))),
% 59.37/10.00    inference(rectify,[],[f4552])).
% 59.37/10.00  tff(f4552,axiom,(
% 59.37/10.00    ! [X7 : int] : zero_zero(rat) = frct(aa(int,product_prod(int,int),product_Pair(int,int,X7),zero_zero(int)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4551_Frct__code__post_I2_J)).
% 59.37/10.00  tff(f79128,plain,(
% 59.37/10.00    spl2737_2482 | ~spl2737_780 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69285,f68893,f68119,f79125])).
% 59.37/10.00  tff(f79125,plain,(
% 59.37/10.00    spl2737_2482 <=> sP205(num)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2482])])).
% 59.37/10.00  tff(f68119,plain,(
% 59.37/10.00    spl2737_780 <=> linorder(num)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_780])])).
% 59.37/10.00  tff(f69285,plain,(
% 59.37/10.00    sP205(num) | (~spl2737_780 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68121])).
% 59.37/10.00  tff(f68121,plain,(
% 59.37/10.00    linorder(num) | ~spl2737_780),
% 59.37/10.00    inference(avatar_component_clause,[],[f68119])).
% 59.37/10.00  tff(f79123,plain,(
% 59.37/10.00    spl2737_2481 | ~spl2737_2480),
% 59.37/10.00    inference(avatar_split_clause,[],[f79118,f79114,f79120])).
% 59.37/10.00  tff(f79120,plain,(
% 59.37/10.00    spl2737_2481 <=> filterlim(real,real,inverse_inverse(real),filtermap(real,real,inverse_inverse(real),at_top(real)),at_top(real))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2481])])).
% 59.37/10.00  tff(f79114,plain,(
% 59.37/10.00    spl2737_2480 <=> filterlim(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))),at_top(real))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2480])])).
% 59.37/10.00  tff(f79118,plain,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),filtermap(real,real,inverse_inverse(real),at_top(real)),at_top(real)) | ~spl2737_2480),
% 59.37/10.00    inference(forward_demodulation,[],[f79116,f35548])).
% 59.37/10.00  tff(f79116,plain,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))),at_top(real)) | ~spl2737_2480),
% 59.37/10.00    inference(avatar_component_clause,[],[f79114])).
% 59.37/10.00  tff(f79117,plain,(
% 59.37/10.00    spl2737_2480),
% 59.37/10.00    inference(avatar_split_clause,[],[f35538,f79114])).
% 59.37/10.00  tff(f35538,plain,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))),at_top(real))),
% 59.37/10.00    inference(cnf_transformation,[],[f6091])).
% 59.37/10.00  tff(f6091,axiom,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))),at_top(real))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6090_filterlim__inverse__at__right__top)).
% 59.37/10.00  tff(f79112,plain,(
% 59.37/10.00    spl2737_2479 | ~spl2737_2478),
% 59.37/10.00    inference(avatar_split_clause,[],[f79107,f79103,f79109])).
% 59.37/10.00  tff(f79109,plain,(
% 59.37/10.00    spl2737_2479 <=> filterlim(real,real,inverse_inverse(real),at_top(real),filtermap(real,real,inverse_inverse(real),at_top(real)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2479])])).
% 59.37/10.00  tff(f79103,plain,(
% 59.37/10.00    spl2737_2478 <=> filterlim(real,real,inverse_inverse(real),at_top(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2478])])).
% 59.37/10.00  tff(f79107,plain,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),at_top(real),filtermap(real,real,inverse_inverse(real),at_top(real))) | ~spl2737_2478),
% 59.37/10.00    inference(forward_demodulation,[],[f79105,f35548])).
% 59.37/10.00  tff(f79105,plain,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),at_top(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real)))) | ~spl2737_2478),
% 59.37/10.00    inference(avatar_component_clause,[],[f79103])).
% 59.37/10.00  tff(f79106,plain,(
% 59.37/10.00    spl2737_2478),
% 59.37/10.00    inference(avatar_split_clause,[],[f35537,f79103])).
% 59.37/10.00  tff(f35537,plain,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),at_top(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))))),
% 59.37/10.00    inference(cnf_transformation,[],[f6090])).
% 59.37/10.00  tff(f6090,axiom,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),at_top(real),topolo174197925503356063within(real,zero_zero(real),set_ord_greaterThan(real,zero_zero(real))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6089_filterlim__inverse__at__top__right)).
% 59.37/10.00  tff(f79101,plain,(
% 59.37/10.00    spl2737_2477),
% 59.37/10.00    inference(avatar_split_clause,[],[f35536,f79098])).
% 59.37/10.00  tff(f79098,plain,(
% 59.37/10.00    spl2737_2477 <=> filterlim(real,real,inverse_inverse(real),at_bot(real),topolo174197925503356063within(real,zero_zero(real),set_ord_lessThan(real,zero_zero(real))))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2477])])).
% 59.37/10.00  tff(f35536,plain,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),at_bot(real),topolo174197925503356063within(real,zero_zero(real),set_ord_lessThan(real,zero_zero(real))))),
% 59.37/10.00    inference(cnf_transformation,[],[f6115])).
% 59.37/10.00  tff(f6115,axiom,(
% 59.37/10.00    filterlim(real,real,inverse_inverse(real),at_bot(real),topolo174197925503356063within(real,zero_zero(real),set_ord_lessThan(real,zero_zero(real))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6114_filterlim__inverse__at__bot__neg)).
% 59.37/10.00  tff(f79090,plain,(
% 59.37/10.00    spl2737_2476 | ~spl2737_2475),
% 59.37/10.00    inference(avatar_split_clause,[],[f79085,f79081,f79087])).
% 59.37/10.00  tff(f79081,plain,(
% 59.37/10.00    spl2737_2475 <=> pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2475])])).
% 59.37/10.00  tff(f79085,plain,(
% 59.37/10.00    pp(aa(int,bool,combc(int,int,bool,ord_less_eq(int),zero_zero(int)),zero_zero(int))) | ~spl2737_2475),
% 59.37/10.00    inference(forward_demodulation,[],[f79083,f50171])).
% 59.37/10.00  tff(f79083,plain,(
% 59.37/10.00    pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int))) | ~spl2737_2475),
% 59.37/10.00    inference(avatar_component_clause,[],[f79081])).
% 59.37/10.00  tff(f79084,plain,(
% 59.37/10.00    spl2737_2475),
% 59.37/10.00    inference(avatar_split_clause,[],[f35532,f79081])).
% 59.37/10.00  tff(f35532,plain,(
% 59.37/10.00    pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int)))),
% 59.37/10.00    inference(cnf_transformation,[],[f617])).
% 59.37/10.00  tff(f617,axiom,(
% 59.37/10.00    pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_616_less__eq__int__code_I1_J)).
% 59.37/10.00  tff(f79079,plain,(
% 59.37/10.00    spl2737_2474 | ~spl2737_779 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69284,f68893,f68114,f79076])).
% 59.37/10.00  tff(f79076,plain,(
% 59.37/10.00    spl2737_2474 <=> sP205(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2474])])).
% 59.37/10.00  tff(f68114,plain,(
% 59.37/10.00    spl2737_779 <=> linorder(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_779])])).
% 59.37/10.00  tff(f69284,plain,(
% 59.37/10.00    sP205(rat) | (~spl2737_779 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68116])).
% 59.37/10.00  tff(f68116,plain,(
% 59.37/10.00    linorder(rat) | ~spl2737_779),
% 59.37/10.00    inference(avatar_component_clause,[],[f68114])).
% 59.37/10.00  tff(f79074,plain,(
% 59.37/10.00    spl2737_2473),
% 59.37/10.00    inference(avatar_split_clause,[],[f35531,f79071])).
% 59.37/10.00  tff(f79071,plain,(
% 59.37/10.00    spl2737_2473 <=> top_top(set(list(nat))) = image(nat,list(nat),nat_list_decode,top_top(set(nat)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2473])])).
% 59.37/10.00  tff(f35531,plain,(
% 59.37/10.00    top_top(set(list(nat))) = image(nat,list(nat),nat_list_decode,top_top(set(nat)))),
% 59.37/10.00    inference(cnf_transformation,[],[f7134])).
% 59.37/10.00  tff(f7134,axiom,(
% 59.37/10.00    top_top(set(list(nat))) = image(nat,list(nat),nat_list_decode,top_top(set(nat)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7133_surj__list__decode)).
% 59.37/10.00  tff(f79069,plain,(
% 59.37/10.00    spl2737_2472),
% 59.37/10.00    inference(avatar_split_clause,[],[f35529,f79066])).
% 59.37/10.00  tff(f79066,plain,(
% 59.37/10.00    spl2737_2472 <=> nat_prod_encode = product_case_prod(nat,nat,nat,aTP_Lamp_lm(nat,fun(nat,nat)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2472])])).
% 59.37/10.00  tff(f35529,plain,(
% 59.37/10.00    nat_prod_encode = product_case_prod(nat,nat,nat,aTP_Lamp_lm(nat,fun(nat,nat)))),
% 59.37/10.00    inference(cnf_transformation,[],[f4769])).
% 59.37/10.00  tff(f4769,axiom,(
% 59.37/10.00    nat_prod_encode = product_case_prod(nat,nat,nat,aTP_Lamp_lm(nat,fun(nat,nat)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4768_prod__encode__def)).
% 59.37/10.00  tff(f79064,plain,(
% 59.37/10.00    spl2737_2471),
% 59.37/10.00    inference(avatar_split_clause,[],[f35528,f79061])).
% 59.37/10.00  tff(f79061,plain,(
% 59.37/10.00    spl2737_2471 <=> bNF_Ca8459412986667044542atLess = collect(product_prod(nat,nat),product_case_prod(nat,nat,bool,ord_less(nat)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2471])])).
% 59.37/10.00  tff(f35528,plain,(
% 59.37/10.00    bNF_Ca8459412986667044542atLess = collect(product_prod(nat,nat),product_case_prod(nat,nat,bool,ord_less(nat)))),
% 59.37/10.00    inference(cnf_transformation,[],[f7367])).
% 59.37/10.00  tff(f7367,axiom,(
% 59.37/10.00    bNF_Ca8459412986667044542atLess = collect(product_prod(nat,nat),product_case_prod(nat,nat,bool,ord_less(nat)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7366_natLess__def)).
% 59.37/10.00  tff(f79056,plain,(
% 59.37/10.00    ~spl2737_2470 | spl2737_2469),
% 59.37/10.00    inference(avatar_split_clause,[],[f79051,f79047,f79053])).
% 59.37/10.00  tff(f79053,plain,(
% 59.37/10.00    spl2737_2470 <=> pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),zero_zero(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2470])])).
% 59.37/10.00  tff(f79047,plain,(
% 59.37/10.00    spl2737_2469 <=> pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),zero_zero(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2469])])).
% 59.37/10.00  tff(f79051,plain,(
% 59.37/10.00    ~pp(aa(int,bool,combc(int,int,bool,ord_less(int),zero_zero(int)),zero_zero(int))) | spl2737_2469),
% 59.37/10.00    inference(forward_demodulation,[],[f79049,f50171])).
% 59.37/10.00  tff(f79049,plain,(
% 59.37/10.00    ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),zero_zero(int))) | spl2737_2469),
% 59.37/10.00    inference(avatar_component_clause,[],[f79047])).
% 59.37/10.00  tff(f79050,plain,(
% 59.37/10.00    ~spl2737_2469),
% 59.37/10.00    inference(avatar_split_clause,[],[f35527,f79047])).
% 59.37/10.00  tff(f35527,plain,(
% 59.37/10.00    ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),zero_zero(int)))),
% 59.37/10.00    inference(cnf_transformation,[],[f253])).
% 59.37/10.00  tff(f253,axiom,(
% 59.37/10.00    ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),zero_zero(int)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_less__int__code_I1_J)).
% 59.37/10.00  tff(f79030,plain,(
% 59.37/10.00    spl2737_2468 | ~spl2737_783 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69283,f68893,f68134,f79027])).
% 59.37/10.00  tff(f79027,plain,(
% 59.37/10.00    spl2737_2468 <=> sP205(bool)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2468])])).
% 59.37/10.00  tff(f68134,plain,(
% 59.37/10.00    spl2737_783 <=> linorder(bool)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_783])])).
% 59.37/10.00  tff(f69283,plain,(
% 59.37/10.00    sP205(bool) | (~spl2737_783 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68136])).
% 59.37/10.00  tff(f68136,plain,(
% 59.37/10.00    linorder(bool) | ~spl2737_783),
% 59.37/10.00    inference(avatar_component_clause,[],[f68134])).
% 59.37/10.00  tff(f78970,plain,(
% 59.37/10.00    spl2737_2467 | ~spl2737_781 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69282,f68893,f68124,f78967])).
% 59.37/10.00  tff(f78967,plain,(
% 59.37/10.00    spl2737_2467 <=> sP205(real)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2467])])).
% 59.37/10.00  tff(f68124,plain,(
% 59.37/10.00    spl2737_781 <=> linorder(real)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_781])])).
% 59.37/10.00  tff(f69282,plain,(
% 59.37/10.00    sP205(real) | (~spl2737_781 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68126])).
% 59.37/10.00  tff(f68126,plain,(
% 59.37/10.00    linorder(real) | ~spl2737_781),
% 59.37/10.00    inference(avatar_component_clause,[],[f68124])).
% 59.37/10.00  tff(f78898,plain,(
% 59.37/10.00    spl2737_2466 | ~spl2737_774 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69281,f68893,f68089,f78895])).
% 59.37/10.00  tff(f78895,plain,(
% 59.37/10.00    spl2737_2466 <=> sP205(literal)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2466])])).
% 59.37/10.00  tff(f68089,plain,(
% 59.37/10.00    spl2737_774 <=> linorder(literal)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_774])])).
% 59.37/10.00  tff(f69281,plain,(
% 59.37/10.00    sP205(literal) | (~spl2737_774 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68091])).
% 59.37/10.00  tff(f68091,plain,(
% 59.37/10.00    linorder(literal) | ~spl2737_774),
% 59.37/10.00    inference(avatar_component_clause,[],[f68089])).
% 59.37/10.00  tff(f78816,plain,(
% 59.37/10.00    spl2737_2465 | ~spl2737_776 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69280,f68893,f68099,f78813])).
% 59.37/10.00  tff(f78813,plain,(
% 59.37/10.00    spl2737_2465 <=> sP205(extended_enat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2465])])).
% 59.37/10.00  tff(f68099,plain,(
% 59.37/10.00    spl2737_776 <=> linorder(extended_enat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_776])])).
% 59.37/10.00  tff(f69280,plain,(
% 59.37/10.00    sP205(extended_enat) | (~spl2737_776 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68101])).
% 59.37/10.00  tff(f68101,plain,(
% 59.37/10.00    linorder(extended_enat) | ~spl2737_776),
% 59.37/10.00    inference(avatar_component_clause,[],[f68099])).
% 59.37/10.00  tff(f78696,plain,(
% 59.37/10.00    spl2737_2464 | ~spl2737_775 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69279,f68893,f68094,f78693])).
% 59.37/10.00  tff(f78693,plain,(
% 59.37/10.00    spl2737_2464 <=> sP205(product_unit)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2464])])).
% 59.37/10.00  tff(f68094,plain,(
% 59.37/10.00    spl2737_775 <=> linorder(product_unit)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_775])])).
% 59.37/10.00  tff(f69279,plain,(
% 59.37/10.00    sP205(product_unit) | (~spl2737_775 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68096])).
% 59.37/10.00  tff(f68096,plain,(
% 59.37/10.00    linorder(product_unit) | ~spl2737_775),
% 59.37/10.00    inference(avatar_component_clause,[],[f68094])).
% 59.37/10.00  tff(f78631,plain,(
% 59.37/10.00    spl2737_2463 | ~spl2737_778 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69278,f68893,f68109,f78628])).
% 59.37/10.00  tff(f78628,plain,(
% 59.37/10.00    spl2737_2463 <=> sP205(code_integer)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2463])])).
% 59.37/10.00  tff(f68109,plain,(
% 59.37/10.00    spl2737_778 <=> linorder(code_integer)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_778])])).
% 59.37/10.00  tff(f69278,plain,(
% 59.37/10.00    sP205(code_integer) | (~spl2737_778 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68111])).
% 59.37/10.00  tff(f68111,plain,(
% 59.37/10.00    linorder(code_integer) | ~spl2737_778),
% 59.37/10.00    inference(avatar_component_clause,[],[f68109])).
% 59.37/10.00  tff(f78598,plain,(
% 59.37/10.00    spl2737_2462 | ~spl2737_777 | ~spl2737_959),
% 59.37/10.00    inference(avatar_split_clause,[],[f69277,f68893,f68104,f78595])).
% 59.37/10.00  tff(f78595,plain,(
% 59.37/10.00    spl2737_2462 <=> sP205(code_natural)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2462])])).
% 59.37/10.00  tff(f68104,plain,(
% 59.37/10.00    spl2737_777 <=> linorder(code_natural)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_777])])).
% 59.37/10.00  tff(f69277,plain,(
% 59.37/10.00    sP205(code_natural) | (~spl2737_777 | ~spl2737_959)),
% 59.37/10.00    inference(resolution,[],[f68894,f68106])).
% 59.37/10.00  tff(f68106,plain,(
% 59.37/10.00    linorder(code_natural) | ~spl2737_777),
% 59.37/10.00    inference(avatar_component_clause,[],[f68104])).
% 59.37/10.00  tff(f78444,plain,(
% 59.37/10.00    spl2737_2461 | ~spl2737_782 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69271,f68889,f68129,f78441])).
% 59.37/10.00  tff(f78441,plain,(
% 59.37/10.00    spl2737_2461 <=> sP203(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2461])])).
% 59.37/10.00  tff(f68889,plain,(
% 59.37/10.00    spl2737_958 <=> ! [X0 : $tType] : (sP203(X0) | ~linorder(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_958])])).
% 59.37/10.00  tff(f69271,plain,(
% 59.37/10.00    sP203(int) | (~spl2737_782 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68131])).
% 59.37/10.00  tff(f68890,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~linorder(X0) | sP203(X0)) ) | ~spl2737_958),
% 59.37/10.00    inference(avatar_component_clause,[],[f68889])).
% 59.37/10.00  tff(f78411,plain,(
% 59.37/10.00    spl2737_2460 | ~spl2737_784 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69270,f68889,f68139,f78408])).
% 59.37/10.00  tff(f78408,plain,(
% 59.37/10.00    spl2737_2460 <=> sP203(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2460])])).
% 59.37/10.00  tff(f69270,plain,(
% 59.37/10.00    sP203(nat) | (~spl2737_784 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68141])).
% 59.37/10.00  tff(f78374,plain,(
% 59.37/10.00    spl2737_2459 | ~spl2737_780 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69269,f68889,f68119,f78371])).
% 59.37/10.00  tff(f78371,plain,(
% 59.37/10.00    spl2737_2459 <=> sP203(num)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2459])])).
% 59.37/10.00  tff(f69269,plain,(
% 59.37/10.00    sP203(num) | (~spl2737_780 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68121])).
% 59.37/10.00  tff(f78357,plain,(
% 59.37/10.00    spl2737_2458 | ~spl2737_779 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69268,f68889,f68114,f78354])).
% 59.37/10.00  tff(f78354,plain,(
% 59.37/10.00    spl2737_2458 <=> sP203(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2458])])).
% 59.37/10.00  tff(f69268,plain,(
% 59.37/10.00    sP203(rat) | (~spl2737_779 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68116])).
% 59.37/10.00  tff(f78348,plain,(
% 59.37/10.00    spl2737_2457 | ~spl2737_783 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69267,f68889,f68134,f78345])).
% 59.37/10.00  tff(f78345,plain,(
% 59.37/10.00    spl2737_2457 <=> sP203(bool)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2457])])).
% 59.37/10.00  tff(f69267,plain,(
% 59.37/10.00    sP203(bool) | (~spl2737_783 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68136])).
% 59.37/10.00  tff(f78327,plain,(
% 59.37/10.00    spl2737_2456 | ~spl2737_2455),
% 59.37/10.00    inference(avatar_split_clause,[],[f78323,f78320,f78325])).
% 59.37/10.00  tff(f78320,plain,(
% 59.37/10.00    spl2737_2455 <=> ! [X0 : int] : pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),zero_zero(int)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2455])])).
% 59.37/10.00  tff(f78323,plain,(
% 59.37/10.00    ( ! [X0 : int] : (pp(aa(int,bool,combc(int,int,bool,dvd_dvd(int),zero_zero(int)),X0))) ) | ~spl2737_2455),
% 59.37/10.00    inference(forward_demodulation,[],[f78321,f50171])).
% 59.37/10.00  tff(f78321,plain,(
% 59.37/10.00    ( ! [X0 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),zero_zero(int)))) ) | ~spl2737_2455),
% 59.37/10.00    inference(avatar_component_clause,[],[f78320])).
% 59.37/10.00  tff(f78322,plain,(
% 59.37/10.00    spl2737_2455),
% 59.37/10.00    inference(avatar_split_clause,[],[f62378,f78320])).
% 59.37/10.00  tff(f62378,plain,(
% 59.37/10.00    ( ! [X0 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),zero_zero(int)))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f62377,f35961])).
% 59.37/10.00  tff(f62377,plain,(
% 59.37/10.00    ( ! [X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),zero_zero(int))))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f53691,f52527])).
% 59.37/10.00  tff(f53691,plain,(
% 59.37/10.00    ( ! [X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),zero_zero(int)))))) )),
% 59.37/10.00    inference(equality_resolution,[],[f48853])).
% 59.37/10.00  tff(f48853,plain,(
% 59.37/10.00    ( ! [X2 : int,X0 : int,X1 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2)))) | zero_zero(int) != X2) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33596])).
% 59.37/10.00  tff(f33596,plain,(
% 59.37/10.00    ! [X0 : int,X1 : int,X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2)))) | (zero_zero(int) != X2 & ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)))) & (zero_zero(int) = X2 | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2))))))),
% 59.37/10.00    inference(flattening,[],[f33595])).
% 59.37/10.00  tff(f33595,plain,(
% 59.37/10.00    ! [X0 : int,X1 : int,X2 : int] : ((pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2)))) | (zero_zero(int) != X2 & ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)))) & ((zero_zero(int) = X2 | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1))) | ~pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2))))))),
% 59.37/10.00    inference(nnf_transformation,[],[f17563])).
% 59.37/10.00  tff(f17563,plain,(
% 59.37/10.00    ! [X0 : int,X1 : int,X2 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(int,int,sgn_sgn(int),X2)))) <=> (zero_zero(int) = X2 | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1))))),
% 59.37/10.00    inference(rectify,[],[f2728])).
% 59.37/10.00  tff(f2728,axiom,(
% 59.37/10.00    ! [X51 : int,X18 : int,X116 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X51),aa(int,int,aa(int,fun(int,int),times_times(int),X18),aa(int,int,sgn_sgn(int),X116)))) <=> (zero_zero(int) = X116 | pp(aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X51),X18))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2727_dvd__mult__sgn__iff)).
% 59.37/10.00  tff(f78318,plain,(
% 59.37/10.00    spl2737_2454),
% 59.37/10.00    inference(avatar_split_clause,[],[f61798,f78316])).
% 59.37/10.00  tff(f78316,plain,(
% 59.37/10.00    spl2737_2454 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (size_num(one2) = X1 | pp(X3) | ~sP408(X1,X0) | ~sP409(X0,X1,X2,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2454])])).
% 59.37/10.00  tff(f61798,plain,(
% 59.37/10.00    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (size_num(one2) = X1 | pp(X3) | ~sP408(X1,X0) | ~sP409(X0,X1,X2,X3)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f48074,f35397])).
% 59.37/10.00  tff(f48074,plain,(
% 59.37/10.00    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (pp(X3) | ~sP408(X1,X0) | zero_zero(nat) = X1 | ~sP409(X0,X1,X2,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32899])).
% 59.37/10.00  tff(f32899,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : nat,X2 : bool,X3 : bool] : (((pp(X3) | ~sP408(X1,X0) | (~pp(X2) & zero_zero(nat) = X1)) & ((sP408(X1,X0) & (pp(X2) | zero_zero(nat) != X1)) | ~pp(X3))) | ~sP409(X0,X1,X2,X3))),
% 59.37/10.00    inference(rectify,[],[f32898])).
% 59.37/10.00  tff(f32898,plain,(
% 59.37/10.00    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : (((pp(X2) | ~sP408(X1,X4) | (~pp(X3) & zero_zero(nat) = X1)) & ((sP408(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2))) | ~sP409(X4,X1,X3,X2))),
% 59.37/10.00    inference(flattening,[],[f32897])).
% 59.37/10.00  tff(f32897,plain,(
% 59.37/10.00    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : (((pp(X2) | (~sP408(X1,X4) | (~pp(X3) & zero_zero(nat) = X1))) & ((sP408(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2))) | ~sP409(X4,X1,X3,X2))),
% 59.37/10.00    inference(nnf_transformation,[],[f27708])).
% 59.37/10.00  tff(f27708,plain,(
% 59.37/10.00    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((pp(X2) <=> (sP408(X1,X4) & (pp(X3) | zero_zero(nat) != X1))) | ~sP409(X4,X1,X3,X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP409])])).
% 59.37/10.00  tff(f78312,plain,(
% 59.37/10.00    spl2737_2453),
% 59.37/10.00    inference(avatar_split_clause,[],[f60391,f78310])).
% 59.37/10.00  tff(f78310,plain,(
% 59.37/10.00    spl2737_2453 <=> ! [X0 : $tType] : one_one(nat) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2453])])).
% 59.37/10.00  tff(f60391,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (one_one(nat) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f60390,f54053])).
% 59.37/10.00  tff(f60390,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0))) != aa(nat,nat,suc,size_num(one2))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f53412,f35397])).
% 59.37/10.00  tff(f53412,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,nil(X0)))) )),
% 59.37/10.00    inference(equality_resolution,[],[f46711])).
% 59.37/10.00  tff(f46711,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 | aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32253])).
% 59.37/10.00  tff(f32253,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1)) | replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) != X1 | nil(X0) = X1) & ((replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) = X1 & nil(X0) != X1) | aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1))))),
% 59.37/10.00    inference(flattening,[],[f32252])).
% 59.37/10.00  tff(f32252,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1)) | (replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) != X1 | nil(X0) = X1)) & ((replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) = X1 & nil(X0) != X1) | aa(nat,nat,suc,zero_zero(nat)) != aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1))))),
% 59.37/10.00    inference(nnf_transformation,[],[f16601])).
% 59.37/10.00  tff(f16601,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(X0)] : (aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X1)) <=> (replicate(X0,aa(list(X0),nat,size_size(list(X0)),X1),hd(X0,X1)) = X1 & nil(X0) != X1))),
% 59.37/10.00    inference(rectify,[],[f5567])).
% 59.37/10.00  tff(f5567,axiom,(
% 59.37/10.00    ! [X0 : $tType,X123 : list(X0)] : (aa(nat,nat,suc,zero_zero(nat)) = aa(list(X0),nat,size_size(list(X0)),remdups_adj(X0,X123)) <=> (replicate(X0,aa(list(X0),nat,size_size(list(X0)),X123),hd(X0,X123)) = X123 & nil(X0) != X123))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5566_remdups__adj__singleton__iff)).
% 59.37/10.00  tff(f78308,plain,(
% 59.37/10.00    spl2737_2452 | ~spl2737_781 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69266,f68889,f68124,f78305])).
% 59.37/10.00  tff(f78305,plain,(
% 59.37/10.00    spl2737_2452 <=> sP203(real)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2452])])).
% 59.37/10.00  tff(f69266,plain,(
% 59.37/10.00    sP203(real) | (~spl2737_781 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68126])).
% 59.37/10.00  tff(f78303,plain,(
% 59.37/10.00    spl2737_2451),
% 59.37/10.00    inference(avatar_split_clause,[],[f60209,f78300])).
% 59.37/10.00  tff(f78300,plain,(
% 59.37/10.00    spl2737_2451 <=> rcis(im(imaginary_unit),pi) = complex2(aa(real,real,cos(real),pi),zero_zero(real))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2451])])).
% 59.37/10.00  tff(f60209,plain,(
% 59.37/10.00    rcis(im(imaginary_unit),pi) = complex2(aa(real,real,cos(real),pi),zero_zero(real))),
% 59.37/10.00    inference(forward_demodulation,[],[f60208,f54059])).
% 59.37/10.00  tff(f60208,plain,(
% 59.37/10.00    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(aa(real,real,cos(real),pi),zero_zero(real))),
% 59.37/10.00    inference(forward_demodulation,[],[f60207,f54082])).
% 59.37/10.00  tff(f60207,plain,(
% 59.37/10.00    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(aa(real,real,uminus_uminus(real),im(imaginary_unit)),zero_zero(real))),
% 59.37/10.00    inference(forward_demodulation,[],[f53345,f35393])).
% 59.37/10.00  tff(f53345,plain,(
% 59.37/10.00    aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(aa(real,real,uminus_uminus(real),one_one(real)),zero_zero(real))),
% 59.37/10.00    inference(equality_resolution,[],[f53344])).
% 59.37/10.00  tff(f53344,plain,(
% 59.37/10.00    ( ! [X0 : real] : (aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(X0,zero_zero(real)) | aa(real,real,uminus_uminus(real),one_one(real)) != X0) )),
% 59.37/10.00    inference(equality_resolution,[],[f46445])).
% 59.37/10.00  tff(f46445,plain,(
% 59.37/10.00    ( ! [X0 : real,X1 : real] : (aa(complex,complex,uminus_uminus(complex),one_one(complex)) = complex2(X0,X1) | zero_zero(real) != X1 | aa(real,real,uminus_uminus(real),one_one(real)) != X0) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32088])).
% 59.37/10.00  tff(f78298,plain,(
% 59.37/10.00    spl2737_2450),
% 59.37/10.00    inference(avatar_split_clause,[],[f59885,f78296])).
% 59.37/10.00  tff(f78296,plain,(
% 59.37/10.00    spl2737_2450 <=> ! [X0 : nat,X1 : nat] : (aa(nat,int,code_T6385005292777649522of_nat,X0) != aa(nat,int,code_T6385005292777649522of_nat,X1) | X0 = X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2450])])).
% 59.37/10.00  tff(f59885,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (aa(nat,int,code_T6385005292777649522of_nat,X0) != aa(nat,int,code_T6385005292777649522of_nat,X1) | X0 = X1) )),
% 59.37/10.00    inference(forward_demodulation,[],[f46205,f35405])).
% 59.37/10.00  tff(f46205,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,int,semiring_1_of_nat(int),X0) != aa(nat,int,semiring_1_of_nat(int),X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31903])).
% 59.37/10.00  tff(f31903,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((X0 = X1 | aa(nat,int,semiring_1_of_nat(int),X0) != aa(nat,int,semiring_1_of_nat(int),X1)) & (aa(nat,int,semiring_1_of_nat(int),X0) = aa(nat,int,semiring_1_of_nat(int),X1) | X0 != X1))),
% 59.37/10.00    inference(nnf_transformation,[],[f16446])).
% 59.37/10.00  tff(f16446,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : (X0 = X1 <=> aa(nat,int,semiring_1_of_nat(int),X0) = aa(nat,int,semiring_1_of_nat(int),X1))),
% 59.37/10.00    inference(rectify,[],[f273])).
% 59.37/10.00  tff(f273,axiom,(
% 59.37/10.00    ! [X7 : nat,X49 : nat] : (X7 = X49 <=> aa(nat,int,semiring_1_of_nat(int),X7) = aa(nat,int,semiring_1_of_nat(int),X49))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_nat__int__comparison_I1_J)).
% 59.37/10.00  tff(f78292,plain,(
% 59.37/10.00    spl2737_2449 | ~spl2737_1843 | ~spl2737_1943),
% 59.37/10.00    inference(avatar_split_clause,[],[f74703,f74700,f73619,f78290])).
% 59.37/10.00  tff(f78290,plain,(
% 59.37/10.00    spl2737_2449 <=> ! [X0 : $tType] : (size_num(one2) = aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2449])])).
% 59.37/10.00  tff(f73619,plain,(
% 59.37/10.00    spl2737_1843 <=> one_one(nat) = size_num(one2)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_1843])])).
% 59.37/10.00  tff(f74700,plain,(
% 59.37/10.00    spl2737_1943 <=> ! [X0 : $tType] : (one_one(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_1943])])).
% 59.37/10.00  tff(f74703,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (size_num(one2) = aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) | ~euclid5411537665997757685th_nat(X0)) ) | (~spl2737_1843 | ~spl2737_1943)),
% 59.37/10.00    inference(forward_demodulation,[],[f74701,f73621])).
% 59.37/10.00  tff(f73621,plain,(
% 59.37/10.00    one_one(nat) = size_num(one2) | ~spl2737_1843),
% 59.37/10.00    inference(avatar_component_clause,[],[f73619])).
% 59.37/10.00  tff(f74701,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~euclid5411537665997757685th_nat(X0) | one_one(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0))) ) | ~spl2737_1943),
% 59.37/10.00    inference(avatar_component_clause,[],[f74700])).
% 59.37/10.00  tff(f78196,plain,(
% 59.37/10.00    spl2737_2448 | spl2737_1843),
% 59.37/10.00    inference(avatar_split_clause,[],[f58506,f73619,f78194])).
% 59.37/10.00  tff(f78194,plain,(
% 59.37/10.00    spl2737_2448 <=> ! [X1 : vEBT_VEBT] : (pp(sK1538(one_one(nat),X1)) | ~sP275(one_one(nat),X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2448])])).
% 59.37/10.00  tff(f58506,plain,(
% 59.37/10.00    ( ! [X1 : vEBT_VEBT] : (one_one(nat) = size_num(one2) | pp(sK1538(one_one(nat),X1)) | ~sP275(one_one(nat),X1)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f53181,f35397])).
% 59.37/10.00  tff(f53181,plain,(
% 59.37/10.00    ( ! [X1 : vEBT_VEBT] : (pp(sK1538(one_one(nat),X1)) | zero_zero(nat) = one_one(nat) | ~sP275(one_one(nat),X1)) )),
% 59.37/10.00    inference(equality_resolution,[],[f44919])).
% 59.37/10.00  tff(f44919,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : vEBT_VEBT] : (pp(sK1538(X0,X1)) | one_one(nat) != X0 | zero_zero(nat) = X0 | ~sP275(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31221])).
% 59.37/10.00  tff(f31221,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : vEBT_VEBT] : ((((one_one(nat) = X0 & (pp(sK1538(X0,X1)) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(sK1537(X0,X1)) | zero_zero(nat) != X0) & vEBT_Leaf(sK1537(X0,X1),sK1538(X0,X1)) = X1) | ~sP275(X0,X1))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1537,sK1538])],[f31219,f31220])).
% 59.37/10.00  tff(f31220,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X0 & (pp(X3) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(X2) | zero_zero(nat) != X0) & vEBT_Leaf(X2,X3) = X1) => (((one_one(nat) = X0 & (pp(sK1538(X0,X1)) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(sK1537(X0,X1)) | zero_zero(nat) != X0) & vEBT_Leaf(sK1537(X0,X1),sK1538(X0,X1)) = X1))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f31219,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X0 & (pp(X3) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(X2) | zero_zero(nat) != X0) & vEBT_Leaf(X2,X3) = X1) | ~sP275(X0,X1))),
% 59.37/10.00    inference(rectify,[],[f31218])).
% 59.37/10.00  tff(f31218,plain,(
% 59.37/10.00    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1) & (pp(X2) | zero_zero(nat) != X1) & vEBT_Leaf(X2,X3) = X0) | ~sP275(X1,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27506])).
% 59.37/10.00  tff(f27506,plain,(
% 59.37/10.00    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1) & (pp(X2) | zero_zero(nat) != X1) & vEBT_Leaf(X2,X3) = X0) | ~sP275(X1,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP275])])).
% 59.37/10.00  tff(f78192,plain,(
% 59.37/10.00    spl2737_2447),
% 59.37/10.00    inference(avatar_split_clause,[],[f57521,f78190])).
% 59.37/10.00  tff(f78190,plain,(
% 59.37/10.00    spl2737_2447 <=> ! [X0 : nat,X1 : nat] : set_or3652927894154168847AtMost(nat,X0,X1) = image(nat,nat,suc,set_or7035219750837199246ssThan(nat,X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2447])])).
% 59.37/10.00  tff(f57521,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (set_or3652927894154168847AtMost(nat,X0,X1) = image(nat,nat,suc,set_or7035219750837199246ssThan(nat,X0,X1))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f57520,f43553])).
% 59.37/10.00  tff(f57520,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),X1) = image(nat,nat,suc,set_or7035219750837199246ssThan(nat,X0,X1))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f43610,f43555])).
% 59.37/10.00  tff(f43555,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (set_or1337092689740270186AtMost(nat,X0,X1) = set_or7035219750837199246ssThan(nat,X0,aa(nat,nat,suc,X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14738])).
% 59.37/10.00  tff(f14738,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : set_or1337092689740270186AtMost(nat,X0,X1) = set_or7035219750837199246ssThan(nat,X0,aa(nat,nat,suc,X1))),
% 59.37/10.00    inference(rectify,[],[f4232])).
% 59.37/10.00  tff(f4232,axiom,(
% 59.37/10.00    ! [X51 : nat,X132 : nat] : set_or1337092689740270186AtMost(nat,X51,X132) = set_or7035219750837199246ssThan(nat,X51,aa(nat,nat,suc,X132))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4231_atLeastLessThanSuc__atLeastAtMost)).
% 59.37/10.00  tff(f43610,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (image(nat,nat,suc,set_or7035219750837199246ssThan(nat,X0,X1)) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),aa(nat,nat,suc,X1))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14793])).
% 59.37/10.00  tff(f14793,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : image(nat,nat,suc,set_or7035219750837199246ssThan(nat,X0,X1)) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),aa(nat,nat,suc,X1))),
% 59.37/10.00    inference(rectify,[],[f4856])).
% 59.37/10.00  tff(f4856,axiom,(
% 59.37/10.00    ! [X23 : nat,X24 : nat] : image(nat,nat,suc,set_or7035219750837199246ssThan(nat,X23,X24)) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X23),aa(nat,nat,suc,X24))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4855_image__Suc__atLeastLessThan)).
% 59.37/10.00  tff(f78188,plain,(
% 59.37/10.00    spl2737_2446),
% 59.37/10.00    inference(avatar_split_clause,[],[f56165,f78186])).
% 59.37/10.00  tff(f78186,plain,(
% 59.37/10.00    spl2737_2446 <=> ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) | ~comm_semiring_1(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2446])])).
% 59.37/10.00  tff(f56165,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) | ~comm_semiring_1(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f41419,f35397])).
% 59.37/10.00  tff(f41419,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) | zero_zero(nat) = X1 | ~comm_semiring_1(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f21887])).
% 59.37/10.00  tff(f21887,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : ((zero_zero(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) | zero_zero(nat) = X1) & (one_one(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X1) | zero_zero(nat) != X1)) | ~comm_semiring_1(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f13361])).
% 59.37/10.00  tff(f13361,plain,(
% 59.37/10.00    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : nat] : ((zero_zero(nat) != X1 => zero_zero(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X1)) & (zero_zero(nat) = X1 => one_one(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X1))))),
% 59.37/10.00    inference(rectify,[],[f1577])).
% 59.37/10.00  tff(f1577,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X8 : nat] : ((zero_zero(nat) != X8 => zero_zero(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X8)) & (zero_zero(nat) = X8 => one_one(X0) = comm_s3205402744901411588hammer(X0,zero_zero(X0),X8))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1576_pochhammer__0__left)).
% 59.37/10.00  tff(f78184,plain,(
% 59.37/10.00    spl2737_2445),
% 59.37/10.00    inference(avatar_split_clause,[],[f55570,f78182])).
% 59.37/10.00  tff(f78182,plain,(
% 59.37/10.00    spl2737_2445 <=> ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) != bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2445])])).
% 59.37/10.00  tff(f55570,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) != bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f39574,f35397])).
% 59.37/10.00  tff(f39574,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(X0) != bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29112])).
% 59.37/10.00  tff(f29112,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : ((zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | zero_zero(X0) != bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)))) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f20492])).
% 59.37/10.00  tff(f20492,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : nat] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)) <=> zero_zero(nat) = X1) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12247])).
% 59.37/10.00  tff(f12247,plain,(
% 59.37/10.00    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : nat] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)) <=> zero_zero(nat) = X1))),
% 59.37/10.00    inference(rectify,[],[f2735])).
% 59.37/10.00  tff(f2735,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : nat] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X8,one_one(X0)) <=> zero_zero(nat) = X8))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2734_take__bit__of__1__eq__0__iff)).
% 59.37/10.00  tff(f78180,plain,(
% 59.37/10.00    spl2737_2444 | ~spl2737_774 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69265,f68889,f68089,f78177])).
% 59.37/10.00  tff(f78177,plain,(
% 59.37/10.00    spl2737_2444 <=> sP203(literal)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2444])])).
% 59.37/10.00  tff(f69265,plain,(
% 59.37/10.00    sP203(literal) | (~spl2737_774 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68091])).
% 59.37/10.00  tff(f78175,plain,(
% 59.37/10.00    spl2737_2443),
% 59.37/10.00    inference(avatar_split_clause,[],[f55553,f78173])).
% 59.37/10.00  tff(f78173,plain,(
% 59.37/10.00    spl2737_2443 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(num,nat,nat_of_num,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2443])])).
% 59.37/10.00  tff(f55553,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(num,nat,nat_of_num,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f39558,f35414])).
% 59.37/10.00  tff(f39558,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f20476])).
% 59.37/10.00  tff(f20476,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : num] : one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f12231])).
% 59.37/10.00  tff(f12231,plain,(
% 59.37/10.00    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : num] : one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1),one_one(X0)))),
% 59.37/10.00    inference(rectify,[],[f2722])).
% 59.37/10.00  tff(f2722,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X51 : num] : one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(num,nat,numeral_numeral(nat),X51),one_one(X0)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2721_take__bit__numeral__1)).
% 59.37/10.00  tff(f78171,plain,(
% 59.37/10.00    spl2737_2442),
% 59.37/10.00    inference(avatar_split_clause,[],[f55017,f78169])).
% 59.37/10.00  tff(f78169,plain,(
% 59.37/10.00    spl2737_2442 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(num,nat,nat_of_num,X1),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2442])])).
% 59.37/10.00  tff(f55017,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(num,nat,nat_of_num,X1),one_one(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36966,f35414])).
% 59.37/10.00  tff(f36966,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1),one_one(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18828])).
% 59.37/10.00  tff(f18828,plain,(
% 59.37/10.00    ! [X0 : $tType] : (! [X1 : num] : one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f10854])).
% 59.37/10.00  tff(f10854,plain,(
% 59.37/10.00    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : num] : one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X1),one_one(X0)))),
% 59.37/10.00    inference(rectify,[],[f2549])).
% 59.37/10.00  tff(f2549,axiom,(
% 59.37/10.00    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X18 : num] : one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(num,nat,numeral_numeral(nat),X18),one_one(X0)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2548_signed__take__bit__numeral__of__1)).
% 59.37/10.00  tff(f78167,plain,(
% 59.37/10.00    spl2737_2441),
% 59.37/10.00    inference(avatar_split_clause,[],[f54866,f78165])).
% 59.37/10.00  tff(f78165,plain,(
% 59.37/10.00    spl2737_2441 <=> ! [X0 : set(nat)] : (size_num(one2) = gcd_Lcm(nat,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2441])])).
% 59.37/10.00  tff(f54866,plain,(
% 59.37/10.00    ( ! [X0 : set(nat)] : (size_num(one2) = gcd_Lcm(nat,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36356,f35397])).
% 59.37/10.00  tff(f36356,plain,(
% 59.37/10.00    ( ! [X0 : set(nat)] : (zero_zero(nat) = gcd_Lcm(nat,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f18404])).
% 59.37/10.00  tff(f18404,plain,(
% 59.37/10.00    ! [X0 : set(nat)] : ((zero_zero(nat) = gcd_Lcm(nat,X0) | pp(aa(set(nat),bool,finite_finite(nat),X0))) & (gcd_Lcm(nat,X0) = lattic5214292709420241887eutr_F(nat,gcd_lcm(nat),one_one(nat),X0) | ~pp(aa(set(nat),bool,finite_finite(nat),X0))))),
% 59.37/10.00    inference(ennf_transformation,[],[f10498])).
% 59.37/10.00  tff(f10498,plain,(
% 59.37/10.00    ! [X0 : set(nat)] : ((~pp(aa(set(nat),bool,finite_finite(nat),X0)) => zero_zero(nat) = gcd_Lcm(nat,X0)) & (pp(aa(set(nat),bool,finite_finite(nat),X0)) => gcd_Lcm(nat,X0) = lattic5214292709420241887eutr_F(nat,gcd_lcm(nat),one_one(nat),X0)))),
% 59.37/10.00    inference(rectify,[],[f7666])).
% 59.37/10.00  tff(f7666,axiom,(
% 59.37/10.00    ! [X210 : set(nat)] : ((~pp(aa(set(nat),bool,finite_finite(nat),X210)) => zero_zero(nat) = gcd_Lcm(nat,X210)) & (pp(aa(set(nat),bool,finite_finite(nat),X210)) => gcd_Lcm(nat,X210) = lattic5214292709420241887eutr_F(nat,gcd_lcm(nat),one_one(nat),X210)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7665_Lcm__nat__def)).
% 59.37/10.00  tff(f78163,plain,(
% 59.37/10.00    spl2737_2440),
% 59.37/10.00    inference(avatar_split_clause,[],[f54642,f78161])).
% 59.37/10.00  tff(f78161,plain,(
% 59.37/10.00    spl2737_2440 <=> ! [X0 : nat] : set_ord_atMost(nat,X0) = set_or7035219750837199246ssThan(nat,size_num(one2),aa(nat,nat,suc,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2440])])).
% 59.37/10.00  tff(f54642,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_atMost(nat,X0) = set_or7035219750837199246ssThan(nat,size_num(one2),aa(nat,nat,suc,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54641,f54568])).
% 59.37/10.00  tff(f54568,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_atMost(nat,X0) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),size_num(one2)),set_or1337092689740270186AtMost(nat,one_one(nat),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54567,f35861])).
% 59.37/10.00  tff(f35861,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_atMost(nat,X0) = set_ord_lessThan(nat,aa(nat,nat,suc,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10027])).
% 59.37/10.00  tff(f10027,plain,(
% 59.37/10.00    ! [X0 : nat] : set_ord_atMost(nat,X0) = set_ord_lessThan(nat,aa(nat,nat,suc,X0))),
% 59.37/10.00    inference(rectify,[],[f3876])).
% 59.37/10.00  tff(f3876,axiom,(
% 59.37/10.00    ! [X18 : nat] : set_ord_lessThan(nat,aa(nat,nat,suc,X18)) = set_ord_atMost(nat,X18)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3875_lessThan__Suc__atMost)).
% 59.37/10.00  tff(f54567,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_lessThan(nat,aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),size_num(one2)),set_or1337092689740270186AtMost(nat,one_one(nat),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54566,f35397])).
% 59.37/10.00  tff(f54566,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_lessThan(nat,aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),zero_zero(nat)),set_or1337092689740270186AtMost(nat,one_one(nat),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36216,f35890])).
% 59.37/10.00  tff(f35890,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_or1337092689740270186AtMost(nat,one_one(nat),X0) = image(nat,nat,suc,set_ord_lessThan(nat,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10054])).
% 59.37/10.00  tff(f10054,plain,(
% 59.37/10.00    ! [X0 : nat] : set_or1337092689740270186AtMost(nat,one_one(nat),X0) = image(nat,nat,suc,set_ord_lessThan(nat,X0))),
% 59.37/10.00    inference(rectify,[],[f4932])).
% 59.37/10.00  tff(f4932,axiom,(
% 59.37/10.00    ! [X8 : nat] : set_or1337092689740270186AtMost(nat,one_one(nat),X8) = image(nat,nat,suc,set_ord_lessThan(nat,X8))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4931_image__Suc__lessThan)).
% 59.37/10.00  tff(f36216,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_lessThan(nat,aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),zero_zero(nat)),image(nat,nat,suc,set_ord_lessThan(nat,X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10377])).
% 59.37/10.00  tff(f10377,plain,(
% 59.37/10.00    ! [X0 : nat] : set_ord_lessThan(nat,aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),zero_zero(nat)),image(nat,nat,suc,set_ord_lessThan(nat,X0)))),
% 59.37/10.00    inference(rectify,[],[f4938])).
% 59.37/10.00  tff(f4938,axiom,(
% 59.37/10.00    ! [X8 : nat] : set_ord_lessThan(nat,aa(nat,nat,suc,X8)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),zero_zero(nat)),image(nat,nat,suc,set_ord_lessThan(nat,X8)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4937_lessThan__Suc__eq__insert__0)).
% 59.37/10.00  tff(f54641,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_or7035219750837199246ssThan(nat,size_num(one2),aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),size_num(one2)),set_or1337092689740270186AtMost(nat,one_one(nat),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54640,f35890])).
% 59.37/10.00  tff(f54640,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_or7035219750837199246ssThan(nat,size_num(one2),aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),size_num(one2)),image(nat,nat,suc,set_ord_lessThan(nat,X0)))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54639,f54244])).
% 59.37/10.00  tff(f54244,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = set_or7035219750837199246ssThan(nat,size_num(one2),X0)) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35832,f35397])).
% 59.37/10.00  tff(f35832,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_ord_lessThan(nat,X0) = set_or7035219750837199246ssThan(nat,zero_zero(nat),X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10002])).
% 59.37/10.00  tff(f10002,plain,(
% 59.37/10.00    ! [X0 : nat] : set_ord_lessThan(nat,X0) = set_or7035219750837199246ssThan(nat,zero_zero(nat),X0)),
% 59.37/10.00    inference(rectify,[],[f4233])).
% 59.37/10.00  tff(f4233,axiom,(
% 59.37/10.00    ! [X8 : nat] : set_ord_lessThan(nat,X8) = set_or7035219750837199246ssThan(nat,zero_zero(nat),X8)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4232_lessThan__atLeast0)).
% 59.37/10.00  tff(f54639,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_or7035219750837199246ssThan(nat,size_num(one2),aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),size_num(one2)),image(nat,nat,suc,set_or7035219750837199246ssThan(nat,size_num(one2),X0)))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36252,f35397])).
% 59.37/10.00  tff(f36252,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),zero_zero(nat)),image(nat,nat,suc,set_or7035219750837199246ssThan(nat,zero_zero(nat),X0)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10413])).
% 59.37/10.00  tff(f10413,plain,(
% 59.37/10.00    ! [X0 : nat] : set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(nat,nat,suc,X0)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),zero_zero(nat)),image(nat,nat,suc,set_or7035219750837199246ssThan(nat,zero_zero(nat),X0)))),
% 59.37/10.00    inference(rectify,[],[f4937])).
% 59.37/10.00  tff(f4937,axiom,(
% 59.37/10.00    ! [X8 : nat] : set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(nat,nat,suc,X8)) = aa(set(nat),set(nat),aa(nat,fun(set(nat),set(nat)),insert2(nat),zero_zero(nat)),image(nat,nat,suc,set_or7035219750837199246ssThan(nat,zero_zero(nat),X8)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4936_atLeast0__lessThan__Suc__eq__insert__0)).
% 59.37/10.00  tff(f78154,plain,(
% 59.37/10.00    spl2737_2439 | ~spl2737_2438),
% 59.37/10.00    inference(avatar_split_clause,[],[f78150,f78147,f78152])).
% 59.37/10.00  tff(f78147,plain,(
% 59.37/10.00    spl2737_2438 <=> ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),one_one(nat)),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2438])])).
% 59.37/10.00  tff(f78150,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),one_one(nat)))) ) | ~spl2737_2438),
% 59.37/10.00    inference(forward_demodulation,[],[f78148,f50171])).
% 59.37/10.00  tff(f78148,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),one_one(nat)),X0))) ) | ~spl2737_2438),
% 59.37/10.00    inference(avatar_component_clause,[],[f78147])).
% 59.37/10.00  tff(f78149,plain,(
% 59.37/10.00    spl2737_2438),
% 59.37/10.00    inference(avatar_split_clause,[],[f54341,f78147])).
% 59.37/10.00  tff(f54341,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),one_one(nat)),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f54340,f54053])).
% 59.37/10.00  tff(f54340,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(nat,nat,suc,size_num(one2))),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f36029,f35397])).
% 59.37/10.00  tff(f36029,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(nat,nat,suc,zero_zero(nat))),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10189])).
% 59.37/10.00  tff(f10189,plain,(
% 59.37/10.00    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(nat,nat,suc,zero_zero(nat))),X0))),
% 59.37/10.00    inference(rectify,[],[f2689])).
% 59.37/10.00  tff(f2689,axiom,(
% 59.37/10.00    ! [X18 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(nat,nat,suc,zero_zero(nat))),X18))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2688_dvd__1__left)).
% 59.37/10.00  tff(f78140,plain,(
% 59.37/10.00    spl2737_2437 | ~spl2737_2436),
% 59.37/10.00    inference(avatar_split_clause,[],[f78136,f78133,f78138])).
% 59.37/10.00  tff(f78133,plain,(
% 59.37/10.00    spl2737_2436 <=> ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),size_num(one2)),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2436])])).
% 59.37/10.00  tff(f78136,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),size_num(one2)))) ) | ~spl2737_2436),
% 59.37/10.00    inference(forward_demodulation,[],[f78134,f50171])).
% 59.37/10.00  tff(f78134,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),size_num(one2)),X0))) ) | ~spl2737_2436),
% 59.37/10.00    inference(avatar_component_clause,[],[f78133])).
% 59.37/10.00  tff(f78135,plain,(
% 59.37/10.00    spl2737_2436),
% 59.37/10.00    inference(avatar_split_clause,[],[f54277,f78133])).
% 59.37/10.00  tff(f54277,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),size_num(one2)),X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35902,f35397])).
% 59.37/10.00  tff(f35902,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10066])).
% 59.37/10.00  tff(f10066,plain,(
% 59.37/10.00    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X0))),
% 59.37/10.00    inference(rectify,[],[f501])).
% 59.37/10.00  tff(f501,axiom,(
% 59.37/10.00    ! [X7 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X7))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_500_bot__nat__0_Oextremum)).
% 59.37/10.00  tff(f78131,plain,(
% 59.37/10.00    spl2737_2435 | ~spl2737_776 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69264,f68889,f68099,f78128])).
% 59.37/10.00  tff(f78128,plain,(
% 59.37/10.00    spl2737_2435 <=> sP203(extended_enat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2435])])).
% 59.37/10.00  tff(f69264,plain,(
% 59.37/10.00    sP203(extended_enat) | (~spl2737_776 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68101])).
% 59.37/10.00  tff(f78099,plain,(
% 59.37/10.00    spl2737_2434 | ~spl2737_2433),
% 59.37/10.00    inference(avatar_split_clause,[],[f78095,f78092,f78097])).
% 59.37/10.00  tff(f78092,plain,(
% 59.37/10.00    spl2737_2433 <=> ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),size_num(one2)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2433])])).
% 59.37/10.00  tff(f78095,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),size_num(one2)),X0))) ) | ~spl2737_2433),
% 59.37/10.00    inference(forward_demodulation,[],[f78093,f50171])).
% 59.37/10.00  tff(f78093,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),size_num(one2)))) ) | ~spl2737_2433),
% 59.37/10.00    inference(avatar_component_clause,[],[f78092])).
% 59.37/10.00  tff(f78094,plain,(
% 59.37/10.00    spl2737_2433),
% 59.37/10.00    inference(avatar_split_clause,[],[f54276,f78092])).
% 59.37/10.00  tff(f54276,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),size_num(one2)))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35901,f35397])).
% 59.37/10.00  tff(f35901,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),zero_zero(nat)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10065])).
% 59.37/10.00  tff(f10065,plain,(
% 59.37/10.00    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),zero_zero(nat)))),
% 59.37/10.00    inference(rectify,[],[f2833])).
% 59.37/10.00  tff(f2833,axiom,(
% 59.37/10.00    ! [X7 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X7),zero_zero(nat)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2832_gcd__nat_Oextremum)).
% 59.37/10.00  tff(f78090,plain,(
% 59.37/10.00    spl2737_2432),
% 59.37/10.00    inference(avatar_split_clause,[],[f54272,f78088])).
% 59.37/10.00  tff(f78088,plain,(
% 59.37/10.00    spl2737_2432 <=> ! [X0 : nat] : size_num(one2) = aa(nat,nat,binomial(size_num(one2)),aa(nat,nat,suc,X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2432])])).
% 59.37/10.00  tff(f54272,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (size_num(one2) = aa(nat,nat,binomial(size_num(one2)),aa(nat,nat,suc,X0))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35887,f35397])).
% 59.37/10.00  tff(f35887,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (zero_zero(nat) = aa(nat,nat,binomial(zero_zero(nat)),aa(nat,nat,suc,X0))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10052])).
% 59.37/10.00  tff(f10052,plain,(
% 59.37/10.00    ! [X0 : nat] : zero_zero(nat) = aa(nat,nat,binomial(zero_zero(nat)),aa(nat,nat,suc,X0))),
% 59.37/10.00    inference(rectify,[],[f2620])).
% 59.37/10.00  tff(f2620,axiom,(
% 59.37/10.00    ! [X18 : nat] : zero_zero(nat) = aa(nat,nat,binomial(zero_zero(nat)),aa(nat,nat,suc,X18))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2619_binomial__0__Suc)).
% 59.37/10.00  tff(f78071,plain,(
% 59.37/10.00    spl2737_2431 | ~spl2737_2430),
% 59.37/10.00    inference(avatar_split_clause,[],[f78067,f78064,f78069])).
% 59.37/10.00  tff(f78069,plain,(
% 59.37/10.00    spl2737_2431 <=> ! [X0 : nat] : ~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),size_num(one2)),X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2431])])).
% 59.37/10.00  tff(f78064,plain,(
% 59.37/10.00    spl2737_2430 <=> ! [X0 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),size_num(one2)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2430])])).
% 59.37/10.00  tff(f78067,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),size_num(one2)),X0))) ) | ~spl2737_2430),
% 59.37/10.00    inference(forward_demodulation,[],[f78065,f50171])).
% 59.37/10.00  tff(f78065,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),size_num(one2)))) ) | ~spl2737_2430),
% 59.37/10.00    inference(avatar_component_clause,[],[f78064])).
% 59.37/10.00  tff(f78066,plain,(
% 59.37/10.00    spl2737_2430),
% 59.37/10.00    inference(avatar_split_clause,[],[f54268,f78064])).
% 59.37/10.00  tff(f54268,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),size_num(one2)))) )),
% 59.37/10.00    inference(forward_demodulation,[],[f35883,f35397])).
% 59.37/10.00  tff(f35883,plain,(
% 59.37/10.00    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),zero_zero(nat)))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10048])).
% 59.37/10.00  tff(f10048,plain,(
% 59.37/10.00    ! [X0 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),zero_zero(nat)))),
% 59.37/10.00    inference(rectify,[],[f6])).
% 59.37/10.00  tff(f6,axiom,(
% 59.37/10.00    ! [X7 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),zero_zero(nat)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_bot__nat__0_Oextremum__strict)).
% 59.37/10.00  tff(f78062,plain,(
% 59.37/10.00    spl2737_2429),
% 59.37/10.00    inference(avatar_split_clause,[],[f54090,f78059])).
% 59.37/10.00  tff(f78059,plain,(
% 59.37/10.00    spl2737_2429 <=> topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,cos(real),pi),im(imaginary_unit)),arccos)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2429])])).
% 59.37/10.00  tff(f54090,plain,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,cos(real),pi),im(imaginary_unit)),arccos)),
% 59.37/10.00    inference(forward_demodulation,[],[f54089,f54082])).
% 59.37/10.00  tff(f54089,plain,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),im(imaginary_unit)),im(imaginary_unit)),arccos)),
% 59.37/10.00    inference(forward_demodulation,[],[f35534,f35393])).
% 59.37/10.00  tff(f35534,plain,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos)),
% 59.37/10.00    inference(cnf_transformation,[],[f6185])).
% 59.37/10.00  tff(f6185,axiom,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arccos)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6184_continuous__on__arccos_H)).
% 59.37/10.00  tff(f78057,plain,(
% 59.37/10.00    spl2737_2428),
% 59.37/10.00    inference(avatar_split_clause,[],[f54088,f78054])).
% 59.37/10.00  tff(f78054,plain,(
% 59.37/10.00    spl2737_2428 <=> topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,cos(real),pi),im(imaginary_unit)),arcsin)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2428])])).
% 59.37/10.00  tff(f54088,plain,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,cos(real),pi),im(imaginary_unit)),arcsin)),
% 59.37/10.00    inference(forward_demodulation,[],[f54087,f54082])).
% 59.37/10.00  tff(f54087,plain,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),im(imaginary_unit)),im(imaginary_unit)),arcsin)),
% 59.37/10.00    inference(forward_demodulation,[],[f35533,f35393])).
% 59.37/10.00  tff(f35533,plain,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin)),
% 59.37/10.00    inference(cnf_transformation,[],[f6186])).
% 59.37/10.00  tff(f6186,axiom,(
% 59.37/10.00    topolo81223032696312382ous_on(real,real,set_or1337092689740270186AtMost(real,aa(real,real,uminus_uminus(real),one_one(real)),one_one(real)),arcsin)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6185_continuous__on__arcsin_H)).
% 59.37/10.00  tff(f78048,plain,(
% 59.37/10.00    spl2737_2427 | ~spl2737_775 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69263,f68889,f68094,f78045])).
% 59.37/10.00  tff(f78045,plain,(
% 59.37/10.00    spl2737_2427 <=> sP203(product_unit)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2427])])).
% 59.37/10.00  tff(f69263,plain,(
% 59.37/10.00    sP203(product_unit) | (~spl2737_775 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68096])).
% 59.37/10.00  tff(f78043,plain,(
% 59.37/10.00    spl2737_2426 | ~spl2737_2425),
% 59.37/10.00    inference(avatar_split_clause,[],[f78038,f78034,f78040])).
% 59.37/10.00  tff(f78034,plain,(
% 59.37/10.00    spl2737_2425 <=> pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,one_one(int)),code_integer_of_num(one2)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2425])])).
% 59.37/10.00  tff(f78038,plain,(
% 59.37/10.00    pp(aa(int,bool,combc(int,code_integer,bool,code_pcr_integer,code_integer_of_num(one2)),one_one(int))) | ~spl2737_2425),
% 59.37/10.00    inference(forward_demodulation,[],[f78036,f50171])).
% 59.37/10.00  tff(f78036,plain,(
% 59.37/10.00    pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,one_one(int)),code_integer_of_num(one2))) | ~spl2737_2425),
% 59.37/10.00    inference(avatar_component_clause,[],[f78034])).
% 59.37/10.00  tff(f78037,plain,(
% 59.37/10.00    spl2737_2425),
% 59.37/10.00    inference(avatar_split_clause,[],[f54084,f78034])).
% 59.37/10.00  tff(f54084,plain,(
% 59.37/10.00    pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,one_one(int)),code_integer_of_num(one2)))),
% 59.37/10.00    inference(forward_demodulation,[],[f35521,f35392])).
% 59.37/10.00  tff(f35392,plain,(
% 59.37/10.00    one_one(code_integer) = code_integer_of_num(one2)),
% 59.37/10.00    inference(cnf_transformation,[],[f4492])).
% 59.37/10.00  tff(f4492,axiom,(
% 59.37/10.00    one_one(code_integer) = code_integer_of_num(one2)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4491_integer__of__num__triv_I1_J)).
% 59.37/10.00  tff(f35521,plain,(
% 59.37/10.00    pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,one_one(int)),one_one(code_integer)))),
% 59.37/10.00    inference(cnf_transformation,[],[f7161])).
% 59.37/10.00  tff(f7161,axiom,(
% 59.37/10.00    pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,one_one(int)),one_one(code_integer)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7160_one__integer_Otransfer)).
% 59.37/10.00  tff(f78027,plain,(
% 59.37/10.00    spl2737_2424 | ~spl2737_2423),
% 59.37/10.00    inference(avatar_split_clause,[],[f78022,f78018,f78024])).
% 59.37/10.00  tff(f78018,plain,(
% 59.37/10.00    spl2737_2423 <=> pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,size_num(one2)),zero_zero(code_natural)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2423])])).
% 59.37/10.00  tff(f78022,plain,(
% 59.37/10.00    pp(aa(nat,bool,combc(nat,code_natural,bool,code_pcr_natural,zero_zero(code_natural)),size_num(one2))) | ~spl2737_2423),
% 59.37/10.00    inference(forward_demodulation,[],[f78020,f50171])).
% 59.37/10.00  tff(f78020,plain,(
% 59.37/10.00    pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,size_num(one2)),zero_zero(code_natural))) | ~spl2737_2423),
% 59.37/10.00    inference(avatar_component_clause,[],[f78018])).
% 59.37/10.00  tff(f78021,plain,(
% 59.37/10.00    spl2737_2423),
% 59.37/10.00    inference(avatar_split_clause,[],[f54083,f78018])).
% 59.37/10.00  tff(f54083,plain,(
% 59.37/10.00    pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,size_num(one2)),zero_zero(code_natural)))),
% 59.37/10.00    inference(forward_demodulation,[],[f35520,f35397])).
% 59.37/10.00  tff(f35520,plain,(
% 59.37/10.00    pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,zero_zero(nat)),zero_zero(code_natural)))),
% 59.37/10.00    inference(cnf_transformation,[],[f7950])).
% 59.37/10.00  tff(f7950,axiom,(
% 59.37/10.00    pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,zero_zero(nat)),zero_zero(code_natural)))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7949_zero__natural_Otransfer)).
% 59.37/10.00  tff(f78016,plain,(
% 59.37/10.00    spl2737_2422),
% 59.37/10.00    inference(avatar_split_clause,[],[f54082,f78013])).
% 59.37/10.00  tff(f78011,plain,(
% 59.37/10.00    spl2737_2421),
% 59.37/10.00    inference(avatar_split_clause,[],[f54033,f78008])).
% 59.37/10.00  tff(f78008,plain,(
% 59.37/10.00    spl2737_2421 <=> bot_bot(set(nat)) = collect(nat,aTP_Lamp_am(nat,fun(nat,bool),size_num(one2)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2421])])).
% 59.37/10.00  tff(f54033,plain,(
% 59.37/10.00    bot_bot(set(nat)) = collect(nat,aTP_Lamp_am(nat,fun(nat,bool),size_num(one2)))),
% 59.37/10.00    inference(forward_demodulation,[],[f50520,f35397])).
% 59.37/10.00  tff(f50520,plain,(
% 59.37/10.00    bot_bot(set(nat)) = collect(nat,aTP_Lamp_am(nat,fun(nat,bool),zero_zero(nat)))),
% 59.37/10.00    inference(definition_unfolding,[],[f35439,f35854])).
% 59.37/10.00  tff(f35439,plain,(
% 59.37/10.00    bot_bot(set(nat)) = nat_set_decode(zero_zero(nat))),
% 59.37/10.00    inference(cnf_transformation,[],[f3254])).
% 59.37/10.00  tff(f3254,axiom,(
% 59.37/10.00    bot_bot(set(nat)) = nat_set_decode(zero_zero(nat))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3253_set__decode__zero)).
% 59.37/10.00  tff(f78006,plain,(
% 59.37/10.00    spl2737_2420),
% 59.37/10.00    inference(avatar_split_clause,[],[f52996,f78004])).
% 59.37/10.00  tff(f78004,plain,(
% 59.37/10.00    spl2737_2420 <=> ! [X0 : $tType,X1 : set(nat)] : (bij_betw(nat,X0,semiring_1_of_nat(X0),X1,image(nat,X0,semiring_1_of_nat(X0),X1)) | ~semiring_char_0(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2420])])).
% 59.37/10.00  tff(f52996,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : set(nat)] : (bij_betw(nat,X0,semiring_1_of_nat(X0),X1,image(nat,X0,semiring_1_of_nat(X0),X1)) | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f41477])).
% 59.37/10.00  tff(f41477,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : set(X0),X1 : set(nat)] : (bij_betw(nat,X0,semiring_1_of_nat(X0),X1,X2) | image(nat,X0,semiring_1_of_nat(X0),X1) != X2 | ~semiring_char_0(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f29731])).
% 59.37/10.00  tff(f78002,plain,(
% 59.37/10.00    spl2737_2419),
% 59.37/10.00    inference(avatar_split_clause,[],[f52628,f78000])).
% 59.37/10.00  tff(f78000,plain,(
% 59.37/10.00    spl2737_2419 <=> ! [X0 : $tType] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),zero_zero(X0))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2419])])).
% 59.37/10.00  tff(f52628,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),zero_zero(X0))) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f38413])).
% 59.37/10.00  tff(f38413,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : X0] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,aa(X0,X0,sgn_sgn(X0),X1)) | zero_zero(X0) != X1 | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f19689])).
% 59.37/10.00  tff(f77998,plain,(
% 59.37/10.00    spl2737_2418),
% 59.37/10.00    inference(avatar_split_clause,[],[f52584,f77996])).
% 59.37/10.00  tff(f77996,plain,(
% 59.37/10.00    spl2737_2418 <=> ! [X0 : $tType,X4 : X0,X3 : real,X2 : real] : (sP25(X0,real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4),X3,X4,X2) | ~sP26(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2418])])).
% 59.37/10.00  tff(f52584,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : real,X3 : real,X4 : X0] : (sP25(X0,real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4),X3,X4,X2) | ~sP26(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f37216])).
% 59.37/10.00  tff(f37216,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : real,X3 : real,X1 : X0,X4 : X0] : (sP25(X0,X1,X3,X4,X2) | real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) != X1 | ~sP26(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28324])).
% 59.37/10.00  tff(f77994,plain,(
% 59.37/10.00    spl2737_2417 | ~spl2737_778 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69262,f68889,f68109,f77991])).
% 59.37/10.00  tff(f77991,plain,(
% 59.37/10.00    spl2737_2417 <=> sP203(code_integer)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2417])])).
% 59.37/10.00  tff(f69262,plain,(
% 59.37/10.00    sP203(code_integer) | (~spl2737_778 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68111])).
% 59.37/10.00  tff(f77989,plain,(
% 59.37/10.00    spl2737_2416),
% 59.37/10.00    inference(avatar_split_clause,[],[f52578,f77987])).
% 59.37/10.00  tff(f77987,plain,(
% 59.37/10.00    spl2737_2416 <=> ! [X0 : $tType,X3 : X0,X2 : real,X1 : real] : (sP23(X0,real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3),X2,X3,X1) | ~sP24(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2416])])).
% 59.37/10.00  tff(f52578,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : real,X3 : X0,X1 : real] : (sP23(X0,real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3),X2,X3,X1) | ~sP24(X0)) )),
% 59.37/10.00    inference(equality_resolution,[],[f37207])).
% 59.37/10.00  tff(f37207,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : real,X3 : X0,X1 : real,X4 : X0] : (sP23(X0,X4,X2,X3,X1) | real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) != X4 | ~sP24(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f28320])).
% 59.37/10.00  tff(f77985,plain,(
% 59.37/10.00    spl2737_2415),
% 59.37/10.00    inference(avatar_split_clause,[],[f50510,f77982])).
% 59.37/10.00  tff(f77982,plain,(
% 59.37/10.00    spl2737_2415 <=> one2 = aa(num,num,aa(num,fun(num,num),times_times(num),one2),one2)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2415])])).
% 59.37/10.00  tff(f50510,plain,(
% 59.37/10.00    one2 = aa(num,num,aa(num,fun(num,num),times_times(num),one2),one2)),
% 59.37/10.00    inference(definition_unfolding,[],[f35386,f35918])).
% 59.37/10.00  tff(f35918,plain,(
% 59.37/10.00    ( ! [X0 : num] : (sqr(X0) = aa(num,num,aa(num,fun(num,num),times_times(num),X0),X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f10082])).
% 59.37/10.00  tff(f10082,plain,(
% 59.37/10.00    ! [X0 : num] : sqr(X0) = aa(num,num,aa(num,fun(num,num),times_times(num),X0),X0)),
% 59.37/10.00    inference(rectify,[],[f4815])).
% 59.37/10.00  tff(f4815,axiom,(
% 59.37/10.00    ! [X14 : num] : sqr(X14) = aa(num,num,aa(num,fun(num,num),times_times(num),X14),X14)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4814_sqr__conv__mult)).
% 59.37/10.00  tff(f35386,plain,(
% 59.37/10.00    one2 = sqr(one2)),
% 59.37/10.00    inference(cnf_transformation,[],[f4814])).
% 59.37/10.00  tff(f4814,axiom,(
% 59.37/10.00    one2 = sqr(one2)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4813_sqr_Osimps_I1_J)).
% 59.37/10.00  tff(f77980,plain,(
% 59.37/10.00    spl2737_2414),
% 59.37/10.00    inference(avatar_split_clause,[],[f50497,f77978])).
% 59.37/10.00  tff(f77978,plain,(
% 59.37/10.00    spl2737_2414 <=> ! [X5 : nat,X6 : list(vEBT_VEBT),X4 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (X3 = X7 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2414])])).
% 59.37/10.00  tff(f50497,plain,(
% 59.37/10.00    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X3 = X7 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f34554])).
% 59.37/10.00  tff(f77976,plain,(
% 59.37/10.00    spl2737_2413),
% 59.37/10.00    inference(avatar_split_clause,[],[f50495,f77974])).
% 59.37/10.00  tff(f77974,plain,(
% 59.37/10.00    spl2737_2413 <=> ! [X3 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X0 : option(product_prod(nat,nat)),X7 : vEBT_VEBT,X6 : list(vEBT_VEBT),X5 : nat,X2 : list(vEBT_VEBT),X1 : nat] : (X1 = X5 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2413])])).
% 59.37/10.00  tff(f50495,plain,(
% 59.37/10.00    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT,X4 : option(product_prod(nat,nat)),X5 : nat] : (X1 = X5 | vEBT_Node(X4,X5,X6,X7) != vEBT_Node(X0,X1,X2,X3)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f34554])).
% 59.37/10.00  tff(f77972,plain,(
% 59.37/10.00    spl2737_2412),
% 59.37/10.00    inference(avatar_split_clause,[],[f48983,f77970])).
% 59.37/10.00  tff(f77970,plain,(
% 59.37/10.00    spl2737_2412 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT),X3 : nat] : ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2412])])).
% 59.37/10.00  tff(f48983,plain,(
% 59.37/10.00    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT)] : (~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f17599])).
% 59.37/10.00  tff(f17599,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2)),X3))),
% 59.37/10.00    inference(rectify,[],[f464])).
% 59.37/10.00  tff(f464,axiom,(
% 59.37/10.00    ! [X94 : nat,X95 : list(vEBT_VEBT),X99 : vEBT_VEBT,X14 : nat] : ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Node(none(product_prod(nat,nat)),X94,X95,X99)),X14))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_463_vebt__member_Osimps_I2_J)).
% 59.37/10.00  tff(f77968,plain,(
% 59.37/10.00    spl2737_2411),
% 59.37/10.00    inference(avatar_split_clause,[],[f48585,f77966])).
% 59.37/10.00  tff(f77966,plain,(
% 59.37/10.00    spl2737_2411 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X1),X2)) | X1 = X2)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2411])])).
% 59.37/10.00  tff(f48585,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X1),X2)) | X1 = X2) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33389])).
% 59.37/10.00  tff(f33389,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X1),X2)) | X1 = X2) & (X1 != X2 | ~pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X1),X2))))),
% 59.37/10.00    inference(nnf_transformation,[],[f17469])).
% 59.37/10.00  tff(f17469,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0,X2 : X0] : (pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X1),X2)) <=> X1 != X2)),
% 59.37/10.00    inference(rectify,[],[f8410])).
% 59.37/10.00  tff(f8410,axiom,(
% 59.37/10.00    ! [X0 : $tType,X94 : X0,X353 : X0] : (pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X94),X353)) <=> X94 != X353)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8409_ATP_Olambda__294)).
% 59.37/10.00  tff(f77964,plain,(
% 59.37/10.00    spl2737_2410),
% 59.37/10.00    inference(avatar_split_clause,[],[f48582,f77962])).
% 59.37/10.00  tff(f77962,plain,(
% 59.37/10.00    spl2737_2410 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ~pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X1),X2)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2410])])).
% 59.37/10.00  tff(f48582,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | ~pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X1),X2))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33388])).
% 59.37/10.00  tff(f33388,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0,X2 : X0] : ((pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X1),X2)) | X1 != X2) & (X1 = X2 | ~pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X1),X2))))),
% 59.37/10.00    inference(nnf_transformation,[],[f17468])).
% 59.37/10.00  tff(f17468,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : X0,X2 : X0] : (pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X1),X2)) <=> X1 = X2)),
% 59.37/10.00    inference(rectify,[],[f8348])).
% 59.37/10.00  tff(f8348,axiom,(
% 59.37/10.00    ! [X0 : $tType,X94 : X0,X353 : X0] : (pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X94),X353)) <=> X94 = X353)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8347_ATP_Olambda__232)).
% 59.37/10.00  tff(f77960,plain,(
% 59.37/10.00    spl2737_2409),
% 59.37/10.00    inference(avatar_split_clause,[],[f48573,f77958])).
% 59.37/10.00  tff(f77958,plain,(
% 59.37/10.00    spl2737_2409 <=> ! [X2 : nat,X0 : bool,X1 : bool] : (pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)) | ~sP477(X2,X1) | ~pp(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2409])])).
% 59.37/10.00  tff(f48573,plain,(
% 59.37/10.00    ( ! [X2 : nat,X0 : bool,X1 : bool] : (pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)) | ~sP477(X2,X1) | ~pp(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f33380])).
% 59.37/10.00  tff(f33380,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : bool,X2 : nat] : ((pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)) | ~sP477(X2,X1) | (~pp(X0) & zero_zero(nat) = X2)) & ((sP477(X2,X1) & (pp(X0) | zero_zero(nat) != X2)) | ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2))))),
% 59.37/10.00    inference(flattening,[],[f33379])).
% 59.37/10.00  tff(f33379,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : bool,X2 : nat] : ((pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)) | (~sP477(X2,X1) | (~pp(X0) & zero_zero(nat) = X2))) & ((sP477(X2,X1) & (pp(X0) | zero_zero(nat) != X2)) | ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2))))),
% 59.37/10.00    inference(nnf_transformation,[],[f27796])).
% 59.37/10.00  tff(f27796,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : bool,X2 : nat] : (pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)) <=> (sP477(X2,X1) & (pp(X0) | zero_zero(nat) != X2)))),
% 59.37/10.00    inference(definition_folding,[],[f26297,f27795])).
% 59.37/10.00  tff(f27795,plain,(
% 59.37/10.00    ! [X2 : nat,X1 : bool] : (sP477(X2,X1) <=> ((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP477])])).
% 59.37/10.00  tff(f26297,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : bool,X2 : nat] : (pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)) <=> (((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2) & (pp(X0) | zero_zero(nat) != X2)))),
% 59.37/10.00    inference(ennf_transformation,[],[f17466])).
% 59.37/10.00  tff(f17466,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : bool,X2 : nat] : (pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)) <=> ((zero_zero(nat) != X2 => (one_one(nat) = X2 & (one_one(nat) = X2 => pp(X1)))) & (zero_zero(nat) = X2 => pp(X0))))),
% 59.37/10.00    inference(rectify,[],[f373])).
% 59.37/10.00  tff(f373,axiom,(
% 59.37/10.00    ! [X7 : bool,X49 : bool,X14 : nat] : (pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X7,X49)),X14)) <=> ((zero_zero(nat) != X14 => (one_one(nat) = X14 & (one_one(nat) = X14 => pp(X49)))) & (zero_zero(nat) = X14 => pp(X7))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_372_vebt__member_Osimps_I1_J)).
% 59.37/10.00  tff(f77956,plain,(
% 59.37/10.00    spl2737_2408),
% 59.37/10.00    inference(avatar_split_clause,[],[f47983,f77954])).
% 59.37/10.00  tff(f77954,plain,(
% 59.37/10.00    spl2737_2408 <=> ! [X1 : $tType,X2 : $tType,X0 : $tType,X3 : fun(X1,fun(X2,X0))] : (real_V2442710119149674383linear(X1,X2,X0,X3) | ~sP400(X2,X1,X0,X3) | ~sP401(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2408])])).
% 59.37/10.00  tff(f47983,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : fun(X1,fun(X2,X0))] : (real_V2442710119149674383linear(X1,X2,X0,X3) | ~sP400(X2,X1,X0,X3) | ~sP401(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32848])).
% 59.37/10.00  tff(f32848,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType,X2 : $tType] : (! [X3 : fun(X1,fun(X2,X0))] : ((real_V2442710119149674383linear(X1,X2,X0,X3) | ~sP400(X2,X1,X0,X3)) & (sP400(X2,X1,X0,X3) | ~real_V2442710119149674383linear(X1,X2,X0,X3))) | ~sP401(X0,X1,X2))),
% 59.37/10.00    inference(rectify,[],[f32847])).
% 59.37/10.00  tff(f32847,plain,(
% 59.37/10.00    ! [X0 : $tType,X2 : $tType,X1 : $tType] : (! [X3 : fun(X2,fun(X1,X0))] : ((real_V2442710119149674383linear(X2,X1,X0,X3) | ~sP400(X1,X2,X0,X3)) & (sP400(X1,X2,X0,X3) | ~real_V2442710119149674383linear(X2,X1,X0,X3))) | ~sP401(X0,X2,X1))),
% 59.37/10.00    inference(nnf_transformation,[],[f27697])).
% 59.37/10.00  tff(f27697,plain,(
% 59.37/10.00    ! [X0 : $tType,X2 : $tType,X1 : $tType] : (! [X3 : fun(X2,fun(X1,X0))] : (real_V2442710119149674383linear(X2,X1,X0,X3) <=> sP400(X1,X2,X0,X3)) | ~sP401(X0,X2,X1))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP401])])).
% 59.37/10.00  tff(f77952,plain,(
% 59.37/10.00    spl2737_2407),
% 59.37/10.00    inference(avatar_split_clause,[],[f47982,f77950])).
% 59.37/10.00  tff(f77950,plain,(
% 59.37/10.00    spl2737_2407 <=> ! [X1 : $tType,X2 : $tType,X0 : $tType,X3 : fun(X1,fun(X2,X0))] : (sP400(X2,X1,X0,X3) | ~real_V2442710119149674383linear(X1,X2,X0,X3) | ~sP401(X0,X1,X2))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2407])])).
% 59.37/10.00  tff(f47982,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : fun(X1,fun(X2,X0))] : (sP400(X2,X1,X0,X3) | ~real_V2442710119149674383linear(X1,X2,X0,X3) | ~sP401(X0,X1,X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32848])).
% 59.37/10.00  tff(f77948,plain,(
% 59.37/10.00    spl2737_2406 | ~spl2737_777 | ~spl2737_958),
% 59.37/10.00    inference(avatar_split_clause,[],[f69261,f68889,f68104,f77945])).
% 59.37/10.00  tff(f77945,plain,(
% 59.37/10.00    spl2737_2406 <=> sP203(code_natural)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2406])])).
% 59.37/10.00  tff(f69261,plain,(
% 59.37/10.00    sP203(code_natural) | (~spl2737_777 | ~spl2737_958)),
% 59.37/10.00    inference(resolution,[],[f68890,f68106])).
% 59.37/10.00  tff(f77943,plain,(
% 59.37/10.00    spl2737_2405),
% 59.37/10.00    inference(avatar_split_clause,[],[f47084,f77941])).
% 59.37/10.00  tff(f77941,plain,(
% 59.37/10.00    spl2737_2405 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : top_top(set(X1)) = aa(X0,set(X1),aTP_Lamp_aca(X0,set(X1)),X2)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2405])])).
% 59.37/10.00  tff(f47084,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (top_top(set(X1)) = aa(X0,set(X1),aTP_Lamp_aca(X0,set(X1)),X2)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f16741])).
% 59.37/10.00  tff(f16741,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType,X2 : X0] : top_top(set(X1)) = aa(X0,set(X1),aTP_Lamp_aca(X0,set(X1)),X2)),
% 59.37/10.00    inference(rectify,[],[f8960])).
% 59.37/10.00  tff(f8960,axiom,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType,X94 : X0] : top_top(set(X1)) = aa(X0,set(X1),aTP_Lamp_aca(X0,set(X1)),X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8959_ATP_Olambda__844)).
% 59.37/10.00  tff(f77939,plain,(
% 59.37/10.00    spl2737_2404),
% 59.37/10.00    inference(avatar_split_clause,[],[f46450,f77937])).
% 59.37/10.00  tff(f77937,plain,(
% 59.37/10.00    spl2737_2404 <=> ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,int,nat_int_decode,X0) != aa(nat,int,nat_int_decode,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2404])])).
% 59.37/10.00  tff(f46450,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,int,nat_int_decode,X0) != aa(nat,int,nat_int_decode,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32091])).
% 59.37/10.00  tff(f32091,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : ((aa(nat,int,nat_int_decode,X0) = aa(nat,int,nat_int_decode,X1) | X0 != X1) & (X0 = X1 | aa(nat,int,nat_int_decode,X0) != aa(nat,int,nat_int_decode,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f16493])).
% 59.37/10.00  tff(f16493,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : (aa(nat,int,nat_int_decode,X0) = aa(nat,int,nat_int_decode,X1) <=> X0 = X1)),
% 59.37/10.00    inference(rectify,[],[f6210])).
% 59.37/10.00  tff(f6210,axiom,(
% 59.37/10.00    ! [X14 : nat,X15 : nat] : (aa(nat,int,nat_int_decode,X14) = aa(nat,int,nat_int_decode,X15) <=> X14 = X15)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6209_int__decode__eq)).
% 59.37/10.00  tff(f77935,plain,(
% 59.37/10.00    spl2737_2403),
% 59.37/10.00    inference(avatar_split_clause,[],[f46448,f77933])).
% 59.37/10.00  tff(f77933,plain,(
% 59.37/10.00    spl2737_2403 <=> ! [X0 : int,X1 : int] : (X0 = X1 | aa(int,nat,nat_int_encode,X0) != aa(int,nat,nat_int_encode,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2403])])).
% 59.37/10.00  tff(f46448,plain,(
% 59.37/10.00    ( ! [X0 : int,X1 : int] : (X0 = X1 | aa(int,nat,nat_int_encode,X0) != aa(int,nat,nat_int_encode,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32090])).
% 59.37/10.00  tff(f32090,plain,(
% 59.37/10.00    ! [X0 : int,X1 : int] : ((aa(int,nat,nat_int_encode,X0) = aa(int,nat,nat_int_encode,X1) | X0 != X1) & (X0 = X1 | aa(int,nat,nat_int_encode,X0) != aa(int,nat,nat_int_encode,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f16492])).
% 59.37/10.00  tff(f16492,plain,(
% 59.37/10.00    ! [X0 : int,X1 : int] : (aa(int,nat,nat_int_encode,X0) = aa(int,nat,nat_int_encode,X1) <=> X0 = X1)),
% 59.37/10.00    inference(rectify,[],[f5839])).
% 59.37/10.00  tff(f5839,axiom,(
% 59.37/10.00    ! [X14 : int,X15 : int] : (aa(int,nat,nat_int_encode,X14) = aa(int,nat,nat_int_encode,X15) <=> X14 = X15)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5838_int__encode__eq)).
% 59.37/10.00  tff(f77931,plain,(
% 59.37/10.00    spl2737_2402),
% 59.37/10.00    inference(avatar_split_clause,[],[f46446,f77929])).
% 59.37/10.00  tff(f77929,plain,(
% 59.37/10.00    spl2737_2402 <=> ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,num,bit1,X0) != aa(num,num,bit1,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2402])])).
% 59.37/10.00  tff(f46446,plain,(
% 59.37/10.00    ( ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,num,bit1,X0) != aa(num,num,bit1,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32089])).
% 59.37/10.00  tff(f32089,plain,(
% 59.37/10.00    ! [X0 : num,X1 : num] : ((aa(num,num,bit1,X0) = aa(num,num,bit1,X1) | X0 != X1) & (X0 = X1 | aa(num,num,bit1,X0) != aa(num,num,bit1,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f16491])).
% 59.37/10.00  tff(f16491,plain,(
% 59.37/10.00    ! [X0 : num,X1 : num] : (aa(num,num,bit1,X0) = aa(num,num,bit1,X1) <=> X0 = X1)),
% 59.37/10.00    inference(rectify,[],[f2540])).
% 59.37/10.00  tff(f2540,axiom,(
% 59.37/10.00    ! [X165 : num,X166 : num] : (aa(num,num,bit1,X165) = aa(num,num,bit1,X166) <=> X165 = X166)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2539_verit__eq__simplify_I9_J)).
% 59.37/10.00  tff(f77927,plain,(
% 59.37/10.00    spl2737_2401),
% 59.37/10.00    inference(avatar_split_clause,[],[f46385,f77925])).
% 59.37/10.00  tff(f77925,plain,(
% 59.37/10.00    spl2737_2401 <=> ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK1950(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2401])])).
% 59.37/10.00  tff(f46385,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK1950(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32044])).
% 59.37/10.00  tff(f32044,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | (nil(X0) != sK1950(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1950(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(X0) != concat(X0,X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1950])],[f32042,f32043])).
% 59.37/10.00  tff(f32043,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => (nil(X0) != sK1950(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1950(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32042,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(X0) != concat(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f32041])).
% 59.37/10.00  tff(f32041,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X2 : list(X0)] : (nil(X0) = X2 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(X0) != concat(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f25522])).
% 59.37/10.00  tff(f25522,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (nil(X0) = X2 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.00    inference(ennf_transformation,[],[f16472])).
% 59.37/10.00  tff(f16472,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => nil(X0) = X2))),
% 59.37/10.00    inference(rectify,[],[f4967])).
% 59.37/10.00  tff(f4967,axiom,(
% 59.37/10.00    ! [X0 : $tType,X238 : list(list(X0))] : (nil(X0) = concat(X0,X238) <=> ! [X115 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X115),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X238))) => nil(X0) = X115))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4966_Nil__eq__concat__conv)).
% 59.37/10.00  tff(f77923,plain,(
% 59.37/10.00    spl2737_2400),
% 59.37/10.00    inference(avatar_split_clause,[],[f46382,f77921])).
% 59.37/10.00  tff(f77921,plain,(
% 59.37/10.00    spl2737_2400 <=> ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK1949(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2400])])).
% 59.37/10.00  tff(f46382,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) | nil(X0) != sK1949(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32040])).
% 59.37/10.00  tff(f32040,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | (nil(X0) != sK1949(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1949(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(X0) != concat(X0,X1)))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1949])],[f32038,f32039])).
% 59.37/10.00  tff(f32039,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => (nil(X0) != sK1949(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1949(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f32038,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X3 : list(X0)] : (nil(X0) = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(X0) != concat(X0,X1)))),
% 59.37/10.00    inference(rectify,[],[f32037])).
% 59.37/10.00  tff(f32037,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : ((nil(X0) = concat(X0,X1) | ? [X2 : list(X0)] : (nil(X0) != X2 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X2 : list(X0)] : (nil(X0) = X2 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | nil(X0) != concat(X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f25521])).
% 59.37/10.00  tff(f25521,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (nil(X0) = X2 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.00    inference(ennf_transformation,[],[f16471])).
% 59.37/10.00  tff(f16471,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = concat(X0,X1) <=> ! [X2 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => nil(X0) = X2))),
% 59.37/10.00    inference(rectify,[],[f4966])).
% 59.37/10.00  tff(f4966,axiom,(
% 59.37/10.00    ! [X0 : $tType,X238 : list(list(X0))] : (nil(X0) = concat(X0,X238) <=> ! [X115 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X115),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X238))) => nil(X0) = X115))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4965_concat__eq__Nil__conv)).
% 59.37/10.00  tff(f77919,plain,(
% 59.37/10.00    spl2737_2399),
% 59.37/10.00    inference(avatar_split_clause,[],[f46358,f77917])).
% 59.37/10.00  tff(f77917,plain,(
% 59.37/10.00    spl2737_2399 <=> ! [X0 : set(nat),X1 : set(nat)] : (image(nat,nat,suc,X0) = X1 | ~bij_betw(nat,nat,suc,X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2399])])).
% 59.37/10.00  tff(f46358,plain,(
% 59.37/10.00    ( ! [X0 : set(nat),X1 : set(nat)] : (image(nat,nat,suc,X0) = X1 | ~bij_betw(nat,nat,suc,X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f32024])).
% 59.37/10.00  tff(f32024,plain,(
% 59.37/10.00    ! [X0 : set(nat),X1 : set(nat)] : ((bij_betw(nat,nat,suc,X0,X1) | image(nat,nat,suc,X0) != X1) & (image(nat,nat,suc,X0) = X1 | ~bij_betw(nat,nat,suc,X0,X1)))),
% 59.37/10.00    inference(nnf_transformation,[],[f16464])).
% 59.37/10.00  tff(f16464,plain,(
% 59.37/10.00    ! [X0 : set(nat),X1 : set(nat)] : (bij_betw(nat,nat,suc,X0,X1) <=> image(nat,nat,suc,X0) = X1)),
% 59.37/10.00    inference(rectify,[],[f4838])).
% 59.37/10.00  tff(f4838,axiom,(
% 59.37/10.00    ! [X210 : set(nat),X143 : set(nat)] : (bij_betw(nat,nat,suc,X210,X143) <=> image(nat,nat,suc,X210) = X143)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4837_bij__betw__Suc)).
% 59.37/10.00  tff(f77915,plain,(
% 59.37/10.00    spl2737_2398),
% 59.37/10.00    inference(avatar_split_clause,[],[f46253,f77913])).
% 59.37/10.00  tff(f77913,plain,(
% 59.37/10.00    spl2737_2398 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1921(X0,X1),aa(nat,nat,suc,sK1920(X0,X1))) | ~sP345(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2398])])).
% 59.37/10.00  tff(f46253,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1921(X0,X1),aa(nat,nat,suc,sK1920(X0,X1))) | ~sP345(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31939])).
% 59.37/10.00  tff(f77911,plain,(
% 59.37/10.00    spl2737_2397),
% 59.37/10.00    inference(avatar_split_clause,[],[f46229,f77909])).
% 59.37/10.00  tff(f77909,plain,(
% 59.37/10.00    spl2737_2397 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1906(X0,X1),aa(nat,nat,suc,sK1905(X0,X1))) | ~sP347(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2397])])).
% 59.37/10.00  tff(f46229,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1906(X0,X1),aa(nat,nat,suc,sK1905(X0,X1))) | ~sP347(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31926])).
% 59.37/10.00  tff(f77907,plain,(
% 59.37/10.00    spl2737_2396),
% 59.37/10.00    inference(avatar_split_clause,[],[f46203,f77905])).
% 59.37/10.00  tff(f77905,plain,(
% 59.37/10.00    spl2737_2396 <=> ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,nat,nat_of_num,X0) != aa(num,nat,nat_of_num,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2396])])).
% 59.37/10.00  tff(f46203,plain,(
% 59.37/10.00    ( ! [X0 : num,X1 : num] : (X0 = X1 | aa(num,nat,nat_of_num,X0) != aa(num,nat,nat_of_num,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31902])).
% 59.37/10.00  tff(f31902,plain,(
% 59.37/10.00    ! [X0 : num,X1 : num] : ((X0 = X1 | aa(num,nat,nat_of_num,X0) != aa(num,nat,nat_of_num,X1)) & (aa(num,nat,nat_of_num,X0) = aa(num,nat,nat_of_num,X1) | X0 != X1))),
% 59.37/10.00    inference(nnf_transformation,[],[f16445])).
% 59.37/10.00  tff(f16445,plain,(
% 59.37/10.00    ! [X0 : num,X1 : num] : (X0 = X1 <=> aa(num,nat,nat_of_num,X0) = aa(num,nat,nat_of_num,X1))),
% 59.37/10.00    inference(rectify,[],[f7779])).
% 59.37/10.00  tff(f7779,axiom,(
% 59.37/10.00    ! [X14 : num,X15 : num] : (X14 = X15 <=> aa(num,nat,nat_of_num,X14) = aa(num,nat,nat_of_num,X15))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7778_num__eq__iff)).
% 59.37/10.00  tff(f77903,plain,(
% 59.37/10.00    spl2737_2395 | ~spl2737_624 | ~spl2737_957),
% 59.37/10.00    inference(avatar_split_clause,[],[f69260,f68885,f67339,f77900])).
% 59.37/10.00  tff(f77900,plain,(
% 59.37/10.00    spl2737_2395 <=> sP199(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2395])])).
% 59.37/10.00  tff(f67339,plain,(
% 59.37/10.00    spl2737_624 <=> zero_neq_one(int)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_624])])).
% 59.37/10.00  tff(f68885,plain,(
% 59.37/10.00    spl2737_957 <=> ! [X0 : $tType] : (sP199(X0) | ~zero_neq_one(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_957])])).
% 59.37/10.00  tff(f69260,plain,(
% 59.37/10.00    sP199(int) | (~spl2737_624 | ~spl2737_957)),
% 59.37/10.00    inference(resolution,[],[f68886,f67341])).
% 59.37/10.00  tff(f67341,plain,(
% 59.37/10.00    zero_neq_one(int) | ~spl2737_624),
% 59.37/10.00    inference(avatar_component_clause,[],[f67339])).
% 59.37/10.00  tff(f68886,plain,(
% 59.37/10.00    ( ! [X0 : $tType] : (~zero_neq_one(X0) | sP199(X0)) ) | ~spl2737_957),
% 59.37/10.00    inference(avatar_component_clause,[],[f68885])).
% 59.37/10.00  tff(f77898,plain,(
% 59.37/10.00    spl2737_2394),
% 59.37/10.00    inference(avatar_split_clause,[],[f46193,f77896])).
% 59.37/10.00  tff(f77896,plain,(
% 59.37/10.00    spl2737_2394 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,fChoice(X0,X1))) | ~pp(aa(X0,bool,X1,X2)))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2394])])).
% 59.37/10.00  tff(f46193,plain,(
% 59.37/10.00    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,fChoice(X0,X1))) | ~pp(aa(X0,bool,X1,X2))) )),
% 59.37/10.00    inference(cnf_transformation,[],[f25512])).
% 59.37/10.00  tff(f25512,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,fChoice(X0,X1))) | ! [X2 : X0] : ~pp(aa(X0,bool,X1,X2)))),
% 59.37/10.00    inference(ennf_transformation,[],[f16441])).
% 59.37/10.00  tff(f16441,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X2 : X0] : pp(aa(X0,bool,X1,X2)) => pp(aa(X0,bool,X1,fChoice(X0,X1))))),
% 59.37/10.00    inference(rectify,[],[f4043])).
% 59.37/10.00  tff(f4043,axiom,(
% 59.37/10.00    ! [X0 : $tType,X17 : fun(X0,bool)] : (? [X42 : X0] : pp(aa(X0,bool,X17,X42)) => pp(aa(X0,bool,X17,fChoice(X0,X17))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4042_someI__ex)).
% 59.37/10.00  tff(f77894,plain,(
% 59.37/10.00    spl2737_2393),
% 59.37/10.00    inference(avatar_split_clause,[],[f45865,f77892])).
% 59.37/10.00  tff(f77892,plain,(
% 59.37/10.00    spl2737_2393 <=> ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X4 : filter(X1),X3 : fun(X1,X0)] : (real_V3181309239436604168linear(X1,X0,X3) | ~has_derivative(X1,X0,X2,X3,X4) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2393])])).
% 59.37/10.00  tff(f45865,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (real_V3181309239436604168linear(X1,X0,X3) | ~has_derivative(X1,X0,X2,X3,X4) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31652])).
% 59.37/10.00  tff(f31652,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : ((has_derivative(X1,X0,X2,X3,X4) | ~filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_xr(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) | ~real_V3181309239436604168linear(X1,X0,X3)) & ((filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_xr(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3)) | ~has_derivative(X1,X0,X2,X3,X4))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.00    inference(flattening,[],[f31651])).
% 59.37/10.00  tff(f31651,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : ((has_derivative(X1,X0,X2,X3,X4) | (~filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_xr(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) | ~real_V3181309239436604168linear(X1,X0,X3))) & ((filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_xr(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3)) | ~has_derivative(X1,X0,X2,X3,X4))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.00    inference(nnf_transformation,[],[f25201])).
% 59.37/10.00  tff(f25201,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (has_derivative(X1,X0,X2,X3,X4) <=> (filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_xr(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.00    inference(flattening,[],[f25200])).
% 59.37/10.00  tff(f25200,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (has_derivative(X1,X0,X2,X3,X4) <=> (filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_xr(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3))) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 59.37/10.00    inference(ennf_transformation,[],[f16272])).
% 59.37/10.00  tff(f16272,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : fun(X1,X0),X3 : fun(X1,X0),X4 : filter(X1)] : (has_derivative(X1,X0,X2,X3,X4) <=> (filterlim(X1,X0,aa(filter(X1),fun(X1,X0),aa(fun(X1,X0),fun(filter(X1),fun(X1,X0)),aTP_Lamp_xr(fun(X1,X0),fun(fun(X1,X0),fun(filter(X1),fun(X1,X0))),X2),X3),X4),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),X4) & real_V3181309239436604168linear(X1,X0,X3))))),
% 59.37/10.00    inference(rectify,[],[f6032])).
% 59.37/10.00  tff(f6032,axiom,(
% 59.37/10.00    ! [X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => ! [X32 : fun(X0,X1),X275 : fun(X0,X1),X121 : filter(X0)] : (has_derivative(X0,X1,X32,X275,X121) <=> (filterlim(X0,X1,aa(filter(X0),fun(X0,X1),aa(fun(X0,X1),fun(filter(X0),fun(X0,X1)),aTP_Lamp_xr(fun(X0,X1),fun(fun(X0,X1),fun(filter(X0),fun(X0,X1))),X32),X275),X121),topolo7230453075368039082e_nhds(X1,zero_zero(X1)),X121) & real_V3181309239436604168linear(X0,X1,X275))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6031_has__derivative__def)).
% 59.37/10.00  tff(f77890,plain,(
% 59.37/10.00    spl2737_2392),
% 59.37/10.00    inference(avatar_split_clause,[],[f45841,f77888])).
% 59.37/10.00  tff(f77888,plain,(
% 59.37/10.00    spl2737_2392 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_rl(X0,X1),X2) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2392])])).
% 59.37/10.00  tff(f45841,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_rl(X0,X1),X2) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f25163])).
% 59.37/10.00  tff(f25163,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_rl(X0,X1),X2) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.00    inference(flattening,[],[f25162])).
% 59.37/10.00  tff(f25162,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_rl(X0,X1),X2) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 59.37/10.00    inference(ennf_transformation,[],[f16253])).
% 59.37/10.00  tff(f16253,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_rl(X0,X1),X2))),
% 59.37/10.00    inference(rectify,[],[f8966])).
% 59.37/10.00  tff(f8966,axiom,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X94 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_rl(X0,X1),X94))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8965_ATP_Olambda__850)).
% 59.37/10.00  tff(f77886,plain,(
% 59.37/10.00    spl2737_2391),
% 59.37/10.00    inference(avatar_split_clause,[],[f45751,f77884])).
% 59.37/10.00  tff(f77884,plain,(
% 59.37/10.00    spl2737_2391 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_aey(X0,X1),X2) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2391])])).
% 59.37/10.00  tff(f45751,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_aey(X0,X1),X2) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f25019])).
% 59.37/10.00  tff(f25019,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_aey(X0,X1),X2) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1))),
% 59.37/10.00    inference(flattening,[],[f25018])).
% 59.37/10.00  tff(f25018,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_aey(X0,X1),X2) | (~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1)))),
% 59.37/10.00    inference(ennf_transformation,[],[f16181])).
% 59.37/10.00  tff(f16181,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : ((real_V4867850818363320053vector(X0) & real_V4867850818363320053vector(X1)) => ! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_aey(X0,X1),X2))),
% 59.37/10.00    inference(rectify,[],[f8967])).
% 59.37/10.00  tff(f8967,axiom,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : ((real_V4867850818363320053vector(X0) & real_V4867850818363320053vector(X1)) => ! [X94 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_aey(X0,X1),X94))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8966_ATP_Olambda__851)).
% 59.37/10.00  tff(f77882,plain,(
% 59.37/10.00    spl2737_2390),
% 59.37/10.00    inference(avatar_split_clause,[],[f45250,f77880])).
% 59.37/10.00  tff(f77880,plain,(
% 59.37/10.00    spl2737_2390 <=> ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,nat,suc,X0) != aa(nat,nat,suc,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2390])])).
% 59.37/10.00  tff(f45250,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,nat,suc,X0) != aa(nat,nat,suc,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f24490])).
% 59.37/10.00  tff(f24490,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : (X0 = X1 | aa(nat,nat,suc,X0) != aa(nat,nat,suc,X1))),
% 59.37/10.00    inference(ennf_transformation,[],[f15809])).
% 59.37/10.00  tff(f15809,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,X0) = aa(nat,nat,suc,X1) => X0 = X1)),
% 59.37/10.00    inference(rectify,[],[f19])).
% 59.37/10.00  tff(f19,axiom,(
% 59.37/10.00    ! [X14 : nat,X15 : nat] : (aa(nat,nat,suc,X14) = aa(nat,nat,suc,X15) => X14 = X15)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_Suc__inject)).
% 59.37/10.00  tff(f77878,plain,(
% 59.37/10.00    spl2737_2389),
% 59.37/10.00    inference(avatar_split_clause,[],[f44997,f77876])).
% 59.37/10.00  tff(f77876,plain,(
% 59.37/10.00    spl2737_2389 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1598(X0,X1) = aa(nat,nat,suc,sK1596(X0,X1)) | ~sP287(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2389])])).
% 59.37/10.00  tff(f44997,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1598(X0,X1) = aa(nat,nat,suc,sK1596(X0,X1)) | ~sP287(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31274])).
% 59.37/10.00  tff(f77874,plain,(
% 59.37/10.00    spl2737_2388),
% 59.37/10.00    inference(avatar_split_clause,[],[f44973,f77872])).
% 59.37/10.00  tff(f77872,plain,(
% 59.37/10.00    spl2737_2388 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1584(X0,X1) = aa(nat,nat,suc,sK1582(X0,X1)) | ~sP289(X0,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2388])])).
% 59.37/10.00  tff(f44973,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1584(X0,X1) = aa(nat,nat,suc,sK1582(X0,X1)) | ~sP289(X0,X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31266])).
% 59.37/10.00  tff(f31266,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP284(sK1587(X0,X1),sK1586(X0,X1),sK1582(X0,X1),sK1581(X0,X1),sK1584(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1587(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1585(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1586(X0,X1)),sK1587(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1581(X0,X1))))) | sK1586(X0,X1) != sK1587(X0,X1)) & sP285(sK1583(X0,X1),sK1581(X0,X1),sK1584(X0,X1)) & sK1585(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1582(X0,X1)),sK1584(X0,X1)) & sK1584(X0,X1) = aa(nat,nat,suc,sK1582(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1581(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1584(X0,X1)) & vEBT_invar_vebt(sK1583(X0,X1),sK1584(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1582(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1581(X0,X1))))) & sK1585(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1586(X0,X1)),sK1587(X0,X1))),sK1585(X0,X1),sK1581(X0,X1),sK1583(X0,X1)) = X1) | ~sP289(X0,X1))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1581,sK1582,sK1583,sK1584,sK1585,sK1586,sK1587])],[f31264,f31265])).
% 59.37/10.00  tff(f31265,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP284(X8,X7,X3,X2,X5) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X7 != X8) & sP285(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),X6,X2,X4) = X1) => (sP284(sK1587(X0,X1),sK1586(X0,X1),sK1582(X0,X1),sK1581(X0,X1),sK1584(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1587(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1585(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1586(X0,X1)),sK1587(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1581(X0,X1))))) | sK1586(X0,X1) != sK1587(X0,X1)) & sP285(sK1583(X0,X1),sK1581(X0,X1),sK1584(X0,X1)) & sK1585(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1582(X0,X1)),sK1584(X0,X1)) & sK1584(X0,X1) = aa(nat,nat,suc,sK1582(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1581(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1584(X0,X1)) & vEBT_invar_vebt(sK1583(X0,X1),sK1584(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1582(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1581(X0,X1))))) & sK1585(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1586(X0,X1)),sK1587(X0,X1))),sK1585(X0,X1),sK1581(X0,X1),sK1583(X0,X1)) = X1))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f31264,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP284(X8,X7,X3,X2,X5) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X7 != X8) & sP285(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & aa(nat,nat,suc,X3) = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),X6,X2,X4) = X1) | ~sP289(X0,X1))),
% 59.37/10.00    inference(rectify,[],[f31263])).
% 59.37/10.00  tff(f31263,plain,(
% 59.37/10.00    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X36 : list(vEBT_VEBT),X37 : nat,X38 : vEBT_VEBT,X39 : nat,X40 : nat,X41 : nat,X42 : nat] : (sP284(X42,X41,X37,X36,X39) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X42),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X40))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X41),X42)) & (! [X46 : vEBT_VEBT] : (! [X47 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X46),X47)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X46),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36)))) | X41 != X42) & sP285(X38,X36,X39) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X37),X39) = X40 & aa(nat,nat,suc,X37) = X39 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X36) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X39) & vEBT_invar_vebt(X38,X39) & ! [X43 : vEBT_VEBT] : (vEBT_invar_vebt(X43,X37) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X43),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36)))) & X1 = X40 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X41),X42)),X40,X36,X38) = X0) | ~sP289(X1,X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f27525])).
% 59.37/10.00  tff(f27525,plain,(
% 59.37/10.00    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X36 : list(vEBT_VEBT),X37 : nat,X38 : vEBT_VEBT,X39 : nat,X40 : nat,X41 : nat,X42 : nat] : (sP284(X42,X41,X37,X36,X39) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X42),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X40))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X41),X42)) & (! [X46 : vEBT_VEBT] : (! [X47 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X46),X47)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X46),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36)))) | X41 != X42) & sP285(X38,X36,X39) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X37),X39) = X40 & aa(nat,nat,suc,X37) = X39 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X36) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X39) & vEBT_invar_vebt(X38,X39) & ! [X43 : vEBT_VEBT] : (vEBT_invar_vebt(X43,X37) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X43),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X36)))) & X1 = X40 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X41),X42)),X40,X36,X38) = X0) | ~sP289(X1,X0))),
% 59.37/10.00    introduced(predicate_definition_introduction,[new_symbols(naming,[sP289])])).
% 59.37/10.00  tff(f77870,plain,(
% 59.37/10.00    spl2737_2387),
% 59.37/10.00    inference(avatar_split_clause,[],[f44804,f77868])).
% 59.37/10.00  tff(f77868,plain,(
% 59.37/10.00    spl2737_2387 <=> ! [X1 : $tType,X0 : $tType,X4 : X1,X3 : fun(X1,bool),X2 : fun(X1,X0)] : (pp(aa(X1,bool,X3,X4)) | ~lattic501386751176901750rg_max(X1,X0,X2,X3,X4) | ~ord(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2387])])).
% 59.37/10.00  tff(f44804,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (pp(aa(X1,bool,X3,X4)) | ~lattic501386751176901750rg_max(X1,X0,X2,X3,X4) | ~ord(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f31115])).
% 59.37/10.00  tff(f31115,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : ((lattic501386751176901750rg_max(X1,X0,X2,X3,X4) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,sK1457(X0,X1,X2,X3,X4)))) & pp(aa(X1,bool,X3,sK1457(X0,X1,X2,X3,X4)))) | ~pp(aa(X1,bool,X3,X4))) & ((! [X6 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X6))) | ~pp(aa(X1,bool,X3,X6))) & pp(aa(X1,bool,X3,X4))) | ~lattic501386751176901750rg_max(X1,X0,X2,X3,X4))) | ~ord(X0))),
% 59.37/10.00    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1457])],[f31113,f31114])).
% 59.37/10.00  tff(f31114,plain,(
% 59.37/10.00    ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (? [X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) & pp(aa(X1,bool,X3,X5))) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,sK1457(X0,X1,X2,X3,X4)))) & pp(aa(X1,bool,X3,sK1457(X0,X1,X2,X3,X4)))))),
% 59.37/10.00    introduced(choice_axiom,[])).
% 59.37/10.00  tff(f31113,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : ((lattic501386751176901750rg_max(X1,X0,X2,X3,X4) | ? [X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) & pp(aa(X1,bool,X3,X5))) | ~pp(aa(X1,bool,X3,X4))) & ((! [X6 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X6))) | ~pp(aa(X1,bool,X3,X6))) & pp(aa(X1,bool,X3,X4))) | ~lattic501386751176901750rg_max(X1,X0,X2,X3,X4))) | ~ord(X0))),
% 59.37/10.00    inference(rectify,[],[f31112])).
% 59.37/10.00  tff(f31112,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : ((lattic501386751176901750rg_max(X1,X0,X2,X3,X4) | ? [X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) & pp(aa(X1,bool,X3,X5))) | ~pp(aa(X1,bool,X3,X4))) & ((! [X5 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ~pp(aa(X1,bool,X3,X5))) & pp(aa(X1,bool,X3,X4))) | ~lattic501386751176901750rg_max(X1,X0,X2,X3,X4))) | ~ord(X0))),
% 59.37/10.00    inference(flattening,[],[f31111])).
% 59.37/10.00  tff(f31111,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : ((lattic501386751176901750rg_max(X1,X0,X2,X3,X4) | (? [X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) & pp(aa(X1,bool,X3,X5))) | ~pp(aa(X1,bool,X3,X4)))) & ((! [X5 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ~pp(aa(X1,bool,X3,X5))) & pp(aa(X1,bool,X3,X4))) | ~lattic501386751176901750rg_max(X1,X0,X2,X3,X4))) | ~ord(X0))),
% 59.37/10.00    inference(nnf_transformation,[],[f24298])).
% 59.37/10.00  tff(f24298,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (lattic501386751176901750rg_max(X1,X0,X2,X3,X4) <=> (! [X5 : X1] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ~pp(aa(X1,bool,X3,X5))) & pp(aa(X1,bool,X3,X4)))) | ~ord(X0))),
% 59.37/10.00    inference(ennf_transformation,[],[f15683])).
% 59.37/10.00  tff(f15683,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (ord(X0) => ! [X2 : fun(X1,X0),X3 : fun(X1,bool),X4 : X1] : (lattic501386751176901750rg_max(X1,X0,X2,X3,X4) <=> (~? [X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) & pp(aa(X1,bool,X3,X5))) & pp(aa(X1,bool,X3,X4)))))),
% 59.37/10.00    inference(rectify,[],[f8040])).
% 59.37/10.00  tff(f8040,axiom,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (ord(X0) => ! [X32 : fun(X1,X0),X17 : fun(X1,bool),X14 : X1] : (lattic501386751176901750rg_max(X1,X0,X32,X17,X14) <=> (~? [X145 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X32,X14)),aa(X1,X0,X32,X145))) & pp(aa(X1,bool,X17,X145))) & pp(aa(X1,bool,X17,X14)))))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8039_is__arg__max__def)).
% 59.37/10.00  tff(f77866,plain,(
% 59.37/10.00    spl2737_2386),
% 59.37/10.00    inference(avatar_split_clause,[],[f44516,f77864])).
% 59.37/10.00  tff(f77864,plain,(
% 59.37/10.00    spl2737_2386 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : X1] : (aa(X0,X1,aTP_Lamp_ne(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2386])])).
% 59.37/10.00  tff(f44516,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : (aa(X0,X1,aTP_Lamp_ne(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f24090])).
% 59.37/10.00  tff(f24090,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_ne(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1))),
% 59.37/10.00    inference(ennf_transformation,[],[f15519])).
% 59.37/10.00  tff(f15519,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (semiring_1(X1) => ! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_ne(X1,fun(X0,X1),X2),X3) = X2)),
% 59.37/10.00    inference(rectify,[],[f8939])).
% 59.37/10.00  tff(f8939,axiom,(
% 59.37/10.00    ! [X2 : $tType,X1 : $tType] : (semiring_1(X1) => ! [X94 : X1,X353 : X2] : aa(X2,X1,aTP_Lamp_ne(X1,fun(X2,X1),X94),X353) = X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8938_ATP_Olambda__823)).
% 59.37/10.00  tff(f77862,plain,(
% 59.37/10.00    spl2737_2385),
% 59.37/10.00    inference(avatar_split_clause,[],[f44515,f77860])).
% 59.37/10.00  tff(f77860,plain,(
% 59.37/10.00    spl2737_2385 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X2 : X1] : (aa(X0,X1,aTP_Lamp_ci(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2385])])).
% 59.37/10.00  tff(f44515,plain,(
% 59.37/10.00    ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : X0] : (aa(X0,X1,aTP_Lamp_ci(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f24089])).
% 59.37/10.00  tff(f24089,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_ci(X1,fun(X0,X1),X2),X3) = X2 | ~semiring_1(X1))),
% 59.37/10.00    inference(ennf_transformation,[],[f15518])).
% 59.37/10.00  tff(f15518,plain,(
% 59.37/10.00    ! [X0 : $tType,X1 : $tType] : (semiring_1(X1) => ! [X2 : X1,X3 : X0] : aa(X0,X1,aTP_Lamp_ci(X1,fun(X0,X1),X2),X3) = X2)),
% 59.37/10.00    inference(rectify,[],[f8944])).
% 59.37/10.00  tff(f8944,axiom,(
% 59.37/10.00    ! [X1 : $tType,X0 : $tType] : (semiring_1(X0) => ! [X94 : X0,X353 : X1] : aa(X1,X0,aTP_Lamp_ci(X0,fun(X1,X0),X94),X353) = X94)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8943_ATP_Olambda__828)).
% 59.37/10.00  tff(f77858,plain,(
% 59.37/10.00    spl2737_2384 | ~spl2737_625 | ~spl2737_957),
% 59.37/10.00    inference(avatar_split_clause,[],[f69259,f68885,f67344,f77855])).
% 59.37/10.00  tff(f77855,plain,(
% 59.37/10.00    spl2737_2384 <=> sP199(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2384])])).
% 59.37/10.00  tff(f67344,plain,(
% 59.37/10.00    spl2737_625 <=> zero_neq_one(nat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_625])])).
% 59.37/10.00  tff(f69259,plain,(
% 59.37/10.00    sP199(nat) | (~spl2737_625 | ~spl2737_957)),
% 59.37/10.00    inference(resolution,[],[f68886,f67346])).
% 59.37/10.00  tff(f67346,plain,(
% 59.37/10.00    zero_neq_one(nat) | ~spl2737_625),
% 59.37/10.00    inference(avatar_component_clause,[],[f67344])).
% 59.37/10.00  tff(f77843,plain,(
% 59.37/10.00    spl2737_2383 | ~spl2737_2382),
% 59.37/10.00    inference(avatar_split_clause,[],[f77839,f77836,f77841])).
% 59.37/10.00  tff(f77841,plain,(
% 59.37/10.00    spl2737_2383 <=> ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,combc(bool,bool,bool,fimplies,X1),X0)) | pp(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2383])])).
% 59.37/10.00  tff(f77836,plain,(
% 59.37/10.00    spl2737_2382 <=> ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1)) | pp(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2382])])).
% 59.37/10.00  tff(f77839,plain,(
% 59.37/10.00    ( ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,combc(bool,bool,bool,fimplies,X1),X0)) | pp(X0)) ) | ~spl2737_2382),
% 59.37/10.00    inference(forward_demodulation,[],[f77837,f50171])).
% 59.37/10.00  tff(f77837,plain,(
% 59.37/10.00    ( ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1)) | pp(X0)) ) | ~spl2737_2382),
% 59.37/10.00    inference(avatar_component_clause,[],[f77836])).
% 59.37/10.00  tff(f77838,plain,(
% 59.37/10.00    spl2737_2382),
% 59.37/10.00    inference(avatar_split_clause,[],[f44172,f77836])).
% 59.37/10.00  tff(f44172,plain,(
% 59.37/10.00    ( ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1)) | pp(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f15283])).
% 59.37/10.00  tff(f15283,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X0),X1)) | pp(X0))),
% 59.37/10.00    inference(rectify,[],[f9895])).
% 59.37/10.00  tff(f9895,axiom,(
% 59.37/10.00    ! [X17 : bool,X31 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X17),X31)) | pp(X17))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U)).
% 59.37/10.00  tff(f77824,plain,(
% 59.37/10.00    spl2737_2381 | ~spl2737_2380),
% 59.37/10.00    inference(avatar_split_clause,[],[f77820,f77817,f77822])).
% 59.37/10.00  tff(f77822,plain,(
% 59.37/10.00    spl2737_2381 <=> ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,combc(bool,bool,bool,fimplies,X0),X1)) | ~pp(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2381])])).
% 59.37/10.00  tff(f77817,plain,(
% 59.37/10.00    spl2737_2380 <=> ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X1),X0)) | ~pp(X0))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2380])])).
% 59.37/10.00  tff(f77820,plain,(
% 59.37/10.00    ( ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,combc(bool,bool,bool,fimplies,X0),X1)) | ~pp(X0)) ) | ~spl2737_2380),
% 59.37/10.00    inference(forward_demodulation,[],[f77818,f50171])).
% 59.37/10.00  tff(f77818,plain,(
% 59.37/10.00    ( ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X1),X0)) | ~pp(X0)) ) | ~spl2737_2380),
% 59.37/10.00    inference(avatar_component_clause,[],[f77817])).
% 59.37/10.00  tff(f77819,plain,(
% 59.37/10.00    spl2737_2380),
% 59.37/10.00    inference(avatar_split_clause,[],[f44171,f77817])).
% 59.37/10.00  tff(f44171,plain,(
% 59.37/10.00    ( ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X1),X0)) | ~pp(X0)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f15282])).
% 59.37/10.00  tff(f15282,plain,(
% 59.37/10.00    ! [X0 : bool,X1 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X1),X0)) | ~pp(X0))),
% 59.37/10.00    inference(rectify,[],[f9894])).
% 59.37/10.00  tff(f9894,axiom,(
% 59.37/10.00    ! [X31 : bool,X17 : bool] : (pp(aa(bool,bool,aa(bool,fun(bool,bool),fimplies,X17),X31)) | ~pp(X31))),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_2_1_U)).
% 59.37/10.00  tff(f77815,plain,(
% 59.37/10.00    spl2737_2379),
% 59.37/10.00    inference(avatar_split_clause,[],[f43556,f77813])).
% 59.37/10.00  tff(f77813,plain,(
% 59.37/10.00    spl2737_2379 <=> ! [X0 : nat,X1 : nat] : tl(nat,upt(X0,X1)) = upt(aa(nat,nat,suc,X0),X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2379])])).
% 59.37/10.00  tff(f77811,plain,(
% 59.37/10.00    spl2737_2378),
% 59.37/10.00    inference(avatar_split_clause,[],[f43555,f77809])).
% 59.37/10.00  tff(f77809,plain,(
% 59.37/10.00    spl2737_2378 <=> ! [X0 : nat,X1 : nat] : set_or1337092689740270186AtMost(nat,X0,X1) = set_or7035219750837199246ssThan(nat,X0,aa(nat,nat,suc,X1))),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2378])])).
% 59.37/10.00  tff(f77807,plain,(
% 59.37/10.00    spl2737_2377),
% 59.37/10.00    inference(avatar_split_clause,[],[f43554,f77805])).
% 59.37/10.00  tff(f77805,plain,(
% 59.37/10.00    spl2737_2377 <=> ! [X0 : nat,X1 : nat] : set_or5935395276787703475ssThan(nat,X0,X1) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2377])])).
% 59.37/10.00  tff(f43554,plain,(
% 59.37/10.00    ( ! [X0 : nat,X1 : nat] : (set_or5935395276787703475ssThan(nat,X0,X1) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),X1)) )),
% 59.37/10.00    inference(cnf_transformation,[],[f14737])).
% 59.37/10.00  tff(f14737,plain,(
% 59.37/10.00    ! [X0 : nat,X1 : nat] : set_or5935395276787703475ssThan(nat,X0,X1) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X0),X1)),
% 59.37/10.00    inference(rectify,[],[f4240])).
% 59.37/10.00  tff(f4240,axiom,(
% 59.37/10.00    ! [X51 : nat,X132 : nat] : set_or5935395276787703475ssThan(nat,X51,X132) = set_or7035219750837199246ssThan(nat,aa(nat,nat,suc,X51),X132)),
% 59.37/10.00    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4239_atLeastSucLessThan__greaterThanLessThan)).
% 59.37/10.00  tff(f77803,plain,(
% 59.37/10.00    spl2737_2376),
% 59.37/10.00    inference(avatar_split_clause,[],[f43553,f77801])).
% 59.37/10.00  tff(f77801,plain,(
% 59.37/10.00    spl2737_2376 <=> ! [X0 : nat,X1 : nat] : set_or3652927894154168847AtMost(nat,X0,X1) = set_or1337092689740270186AtMost(nat,aa(nat,nat,suc,X0),X1)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2376])])).
% 59.37/10.00  tff(f77799,plain,(
% 59.37/10.00    spl2737_2375 | ~spl2737_622 | ~spl2737_957),
% 59.37/10.00    inference(avatar_split_clause,[],[f69258,f68885,f67329,f77796])).
% 59.37/10.00  tff(f77796,plain,(
% 59.37/10.00    spl2737_2375 <=> sP199(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_2375])])).
% 59.37/10.00  tff(f67329,plain,(
% 59.37/10.00    spl2737_622 <=> zero_neq_one(rat)),
% 59.37/10.00    introduced(avatar_definition,[new_symbols(naming,[spl2737_622])])).
% 59.37/10.00  tff(f69258,plain,(
% 59.37/10.00    sP199(rat) | (~spl2737_622 | ~spl2737_957)),
% 59.37/10.01    inference(resolution,[],[f68886,f67331])).
% 59.37/10.01  tff(f67331,plain,(
% 59.37/10.01    zero_neq_one(rat) | ~spl2737_622),
% 59.37/10.01    inference(avatar_component_clause,[],[f67329])).
% 59.37/10.01  tff(f77794,plain,(
% 59.37/10.01    spl2737_2374),
% 59.37/10.01    inference(avatar_split_clause,[],[f43506,f77792])).
% 59.37/10.01  tff(f77792,plain,(
% 59.37/10.01    spl2737_2374 <=> ! [X0 : real] : aa(real,real,cos(real),X0) = aa(real,real,cos(real),sK1313(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2374])])).
% 59.37/10.01  tff(f43506,plain,(
% 59.37/10.01    ( ! [X0 : real] : (aa(real,real,cos(real),X0) = aa(real,real,cos(real),sK1313(X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30745])).
% 59.37/10.01  tff(f77788,plain,(
% 59.37/10.01    spl2737_2373 | ~spl2737_2372),
% 59.37/10.01    inference(avatar_split_clause,[],[f77784,f77781,f77786])).
% 59.37/10.01  tff(f77781,plain,(
% 59.37/10.01    spl2737_2372 <=> ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sK1313(X0)),pi))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2372])])).
% 59.37/10.01  tff(f77784,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),pi),sK1313(X0)))) ) | ~spl2737_2372),
% 59.37/10.01    inference(forward_demodulation,[],[f77782,f50171])).
% 59.37/10.01  tff(f77782,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sK1313(X0)),pi))) ) | ~spl2737_2372),
% 59.37/10.01    inference(avatar_component_clause,[],[f77781])).
% 59.37/10.01  tff(f77783,plain,(
% 59.37/10.01    spl2737_2372),
% 59.37/10.01    inference(avatar_split_clause,[],[f43504,f77781])).
% 59.37/10.01  tff(f43504,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sK1313(X0)),pi))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30745])).
% 59.37/10.01  tff(f77777,plain,(
% 59.37/10.01    spl2737_2371 | ~spl2737_2370),
% 59.37/10.01    inference(avatar_split_clause,[],[f77773,f77770,f77775])).
% 59.37/10.01  tff(f77770,plain,(
% 59.37/10.01    spl2737_2370 <=> ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1312(X0)),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2370])])).
% 59.37/10.01  tff(f77773,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less(real),X0),sK1312(X0)))) ) | ~spl2737_2370),
% 59.37/10.01    inference(forward_demodulation,[],[f77771,f50171])).
% 59.37/10.01  tff(f77771,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1312(X0)),X0))) ) | ~spl2737_2370),
% 59.37/10.01    inference(avatar_component_clause,[],[f77770])).
% 59.37/10.01  tff(f77772,plain,(
% 59.37/10.01    spl2737_2370),
% 59.37/10.01    inference(avatar_split_clause,[],[f43502,f77770])).
% 59.37/10.01  tff(f43502,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),sK1312(X0)),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30743])).
% 59.37/10.01  tff(f77760,plain,(
% 59.37/10.01    spl2737_2369 | ~spl2737_2368),
% 59.37/10.01    inference(avatar_split_clause,[],[f77756,f77753,f77758])).
% 59.37/10.01  tff(f77753,plain,(
% 59.37/10.01    spl2737_2368 <=> ! [X0 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),sK1311(X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2368])])).
% 59.37/10.01  tff(f77756,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),sK1311(X0)),X0))) ) | ~spl2737_2368),
% 59.37/10.01    inference(forward_demodulation,[],[f77754,f50171])).
% 59.37/10.01  tff(f77754,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),sK1311(X0)))) ) | ~spl2737_2368),
% 59.37/10.01    inference(avatar_component_clause,[],[f77753])).
% 59.37/10.01  tff(f77755,plain,(
% 59.37/10.01    spl2737_2368),
% 59.37/10.01    inference(avatar_split_clause,[],[f43500,f77753])).
% 59.37/10.01  tff(f43500,plain,(
% 59.37/10.01    ( ! [X0 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),sK1311(X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30741])).
% 59.37/10.01  tff(f77751,plain,(
% 59.37/10.01    spl2737_2367 | ~spl2737_623 | ~spl2737_957),
% 59.37/10.01    inference(avatar_split_clause,[],[f69257,f68885,f67334,f77748])).
% 59.37/10.01  tff(f77748,plain,(
% 59.37/10.01    spl2737_2367 <=> sP199(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2367])])).
% 59.37/10.01  tff(f67334,plain,(
% 59.37/10.01    spl2737_623 <=> zero_neq_one(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_623])])).
% 59.37/10.01  tff(f69257,plain,(
% 59.37/10.01    sP199(real) | (~spl2737_623 | ~spl2737_957)),
% 59.37/10.01    inference(resolution,[],[f68886,f67336])).
% 59.37/10.01  tff(f67336,plain,(
% 59.37/10.01    zero_neq_one(real) | ~spl2737_623),
% 59.37/10.01    inference(avatar_component_clause,[],[f67334])).
% 59.37/10.01  tff(f77746,plain,(
% 59.37/10.01    spl2737_2366),
% 59.37/10.01    inference(avatar_split_clause,[],[f43175,f77744])).
% 59.37/10.01  tff(f77744,plain,(
% 59.37/10.01    spl2737_2366 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(nat,X0,aTP_Lamp_bl(nat,X0),X1) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2366])])).
% 59.37/10.01  tff(f43175,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(nat,X0,aTP_Lamp_bl(nat,X0),X1) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23617])).
% 59.37/10.01  tff(f23617,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bl(nat,X0),X1) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.01    inference(flattening,[],[f23616])).
% 59.37/10.01  tff(f23616,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bl(nat,X0),X1) | (~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f14540])).
% 59.37/10.01  tff(f14540,plain,(
% 59.37/10.01    ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & comm_monoid_add(X0)) => ! [X1 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bl(nat,X0),X1))),
% 59.37/10.01    inference(rectify,[],[f8962])).
% 59.37/10.01  tff(f8962,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & comm_monoid_add(X0)) => ! [X94 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bl(nat,X0),X94))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8961_ATP_Olambda__846)).
% 59.37/10.01  tff(f77742,plain,(
% 59.37/10.01    spl2737_2365),
% 59.37/10.01    inference(avatar_split_clause,[],[f43167,f77740])).
% 59.37/10.01  tff(f77740,plain,(
% 59.37/10.01    spl2737_2365 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(nat,X0,aTP_Lamp_bg(nat,X0),X1) | ~topological_t2_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2365])])).
% 59.37/10.01  tff(f43167,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(nat,X0,aTP_Lamp_bg(nat,X0),X1) | ~topological_t2_space(X0) | ~comm_monoid_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23605])).
% 59.37/10.01  tff(f23605,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bg(nat,X0),X1) | ~topological_t2_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.01    inference(flattening,[],[f23604])).
% 59.37/10.01  tff(f23604,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bg(nat,X0),X1) | (~topological_t2_space(X0) | ~comm_monoid_add(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f14536])).
% 59.37/10.01  tff(f14536,plain,(
% 59.37/10.01    ! [X0 : $tType] : ((topological_t2_space(X0) & comm_monoid_add(X0)) => ! [X1 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bg(nat,X0),X1))),
% 59.37/10.01    inference(rectify,[],[f8963])).
% 59.37/10.01  tff(f8963,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((topological_t2_space(X0) & comm_monoid_add(X0)) => ! [X94 : nat] : zero_zero(X0) = aa(nat,X0,aTP_Lamp_bg(nat,X0),X94))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8962_ATP_Olambda__847)).
% 59.37/10.01  tff(f77738,plain,(
% 59.37/10.01    spl2737_2364),
% 59.37/10.01    inference(avatar_split_clause,[],[f43154,f77736])).
% 59.37/10.01  tff(f77736,plain,(
% 59.37/10.01    spl2737_2364 <=> ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2364])])).
% 59.37/10.01  tff(f43154,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23581])).
% 59.37/10.01  tff(f23581,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1 | ~semidom_divide(X0) | ~semiring_char_0(X0))),
% 59.37/10.01    inference(flattening,[],[f23580])).
% 59.37/10.01  tff(f23580,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1 | (~semidom_divide(X0) | ~semiring_char_0(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f14525])).
% 59.37/10.01  tff(f14525,plain,(
% 59.37/10.01    ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X1 : X0] : aa(nat,X0,gbinomial(X0,X1),one_one(nat)) = X1)),
% 59.37/10.01    inference(rectify,[],[f1433])).
% 59.37/10.01  tff(f1433,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((semidom_divide(X0) & semiring_char_0(X0)) => ! [X7 : X0] : aa(nat,X0,gbinomial(X0,X7),one_one(nat)) = X7)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1432_gbinomial__1)).
% 59.37/10.01  tff(f77734,plain,(
% 59.37/10.01    spl2737_2363),
% 59.37/10.01    inference(avatar_split_clause,[],[f43097,f77732])).
% 59.37/10.01  tff(f77732,plain,(
% 59.37/10.01    spl2737_2363 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bv(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0) | ~ring_1(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2363])])).
% 59.37/10.01  tff(f43097,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bv(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0) | ~ring_1(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23491])).
% 59.37/10.01  tff(f23491,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_bv(fun(nat,X0),fun(nat,X0),X1)) | ~topolo4958980785337419405_space(X0) | ~ring_1(X0))),
% 59.37/10.01    inference(flattening,[],[f23490])).
% 59.37/10.01  tff(f23490,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_bv(fun(nat,X0),fun(nat,X0),X1)) | (~topolo4958980785337419405_space(X0) | ~ring_1(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f14478])).
% 59.37/10.01  tff(f14478,plain,(
% 59.37/10.01    ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & ring_1(X0)) => ! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_bv(fun(nat,X0),fun(nat,X0),X1)))),
% 59.37/10.01    inference(rectify,[],[f3675])).
% 59.37/10.01  tff(f3675,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & ring_1(X0)) => ! [X32 : fun(nat,X0)] : summable(X0,aTP_Lamp_bv(fun(nat,X0),fun(nat,X0),X32)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3674_summable__zero__power_H)).
% 59.37/10.01  tff(f77730,plain,(
% 59.37/10.01    spl2737_2362),
% 59.37/10.01    inference(avatar_split_clause,[],[f43002,f77728])).
% 59.37/10.01  tff(f77728,plain,(
% 59.37/10.01    spl2737_2362 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,artanh(X0),zero_zero(X0)) | ~ln(X0) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2362])])).
% 59.37/10.01  tff(f43002,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,artanh(X0),zero_zero(X0)) | ~ln(X0) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23371])).
% 59.37/10.01  tff(f23371,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,artanh(X0),zero_zero(X0)) | ~ln(X0) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    inference(flattening,[],[f23370])).
% 59.37/10.01  tff(f23370,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,artanh(X0),zero_zero(X0)) | (~ln(X0) | ~real_V3459762299906320749_field(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f1597])).
% 59.37/10.01  tff(f1597,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((ln(X0) & real_V3459762299906320749_field(X0)) => zero_zero(X0) = aa(X0,X0,artanh(X0),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1596_artanh__0)).
% 59.37/10.01  tff(f77726,plain,(
% 59.37/10.01    spl2737_2361),
% 59.37/10.01    inference(avatar_split_clause,[],[f42868,f77724])).
% 59.37/10.01  tff(f77724,plain,(
% 59.37/10.01    spl2737_2361 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tan(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2361])])).
% 59.37/10.01  tff(f42868,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tan(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23145])).
% 59.37/10.01  tff(f23145,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tan(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    inference(flattening,[],[f23144])).
% 59.37/10.01  tff(f23144,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tan(X0),zero_zero(X0)) | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f3072])).
% 59.37/10.01  tff(f3072,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => zero_zero(X0) = aa(X0,X0,tan(X0),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3071_tan__zero)).
% 59.37/10.01  tff(f77722,plain,(
% 59.37/10.01    spl2737_2360),
% 59.37/10.01    inference(avatar_split_clause,[],[f42867,f77720])).
% 59.37/10.01  tff(f77720,plain,(
% 59.37/10.01    spl2737_2360 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tanh(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2360])])).
% 59.37/10.01  tff(f42867,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tanh(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23143])).
% 59.37/10.01  tff(f23143,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tanh(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    inference(flattening,[],[f23142])).
% 59.37/10.01  tff(f23142,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,tanh(X0),zero_zero(X0)) | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f1796])).
% 59.37/10.01  tff(f1796,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => zero_zero(X0) = aa(X0,X0,tanh(X0),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1795_tanh__0)).
% 59.37/10.01  tff(f77718,plain,(
% 59.37/10.01    spl2737_2359),
% 59.37/10.01    inference(avatar_split_clause,[],[f42866,f77716])).
% 59.37/10.01  tff(f77716,plain,(
% 59.37/10.01    spl2737_2359 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,cot(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2359])])).
% 59.37/10.01  tff(f42866,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,cot(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23141])).
% 59.37/10.01  tff(f23141,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,cot(X0),zero_zero(X0)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    inference(flattening,[],[f23140])).
% 59.37/10.01  tff(f23140,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,cot(X0),zero_zero(X0)) | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f2702])).
% 59.37/10.01  tff(f2702,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => zero_zero(X0) = aa(X0,X0,cot(X0),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2701_cot__zero)).
% 59.37/10.01  tff(f77714,plain,(
% 59.37/10.01    spl2737_2358),
% 59.37/10.01    inference(avatar_split_clause,[],[f42817,f77712])).
% 59.37/10.01  tff(f77712,plain,(
% 59.37/10.01    spl2737_2358 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,cos(X0),zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2358])])).
% 59.37/10.01  tff(f42817,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,cos(X0),zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23043])).
% 59.37/10.01  tff(f23043,plain,(
% 59.37/10.01    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,cos(X0),zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    inference(flattening,[],[f23042])).
% 59.37/10.01  tff(f23042,plain,(
% 59.37/10.01    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,cos(X0),zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f2719])).
% 59.37/10.01  tff(f2719,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => one_one(X0) = aa(X0,X0,cos(X0),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2718_cos__zero)).
% 59.37/10.01  tff(f77710,plain,(
% 59.37/10.01    spl2737_2357),
% 59.37/10.01    inference(avatar_split_clause,[],[f42479,f77708])).
% 59.37/10.01  tff(f77708,plain,(
% 59.37/10.01    spl2737_2357 <=> ! [X0 : int] : (euclid7384307370059645450egment(int,X0) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) = X0)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2357])])).
% 59.37/10.01  tff(f42479,plain,(
% 59.37/10.01    ( ! [X0 : int] : (euclid7384307370059645450egment(int,X0) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f22667])).
% 59.37/10.01  tff(f22667,plain,(
% 59.37/10.01    ! [X0 : int] : (euclid7384307370059645450egment(int,X0) = aa(int,int,sgn_sgn(int),X0) | zero_zero(int) = X0)),
% 59.37/10.01    inference(ennf_transformation,[],[f14009])).
% 59.37/10.01  tff(f14009,plain,(
% 59.37/10.01    ! [X0 : int] : (zero_zero(int) != X0 => euclid7384307370059645450egment(int,X0) = aa(int,int,sgn_sgn(int),X0))),
% 59.37/10.01    inference(rectify,[],[f7041])).
% 59.37/10.01  tff(f7041,axiom,(
% 59.37/10.01    ! [X18 : int] : (zero_zero(int) != X18 => aa(int,int,sgn_sgn(int),X18) = euclid7384307370059645450egment(int,X18))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7040_division__segment__eq__sgn)).
% 59.37/10.01  tff(f77706,plain,(
% 59.37/10.01    spl2737_2356 | ~spl2737_619 | ~spl2737_957),
% 59.37/10.01    inference(avatar_split_clause,[],[f69256,f68885,f67314,f77703])).
% 59.37/10.01  tff(f77703,plain,(
% 59.37/10.01    spl2737_2356 <=> sP199(complex)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2356])])).
% 59.37/10.01  tff(f67314,plain,(
% 59.37/10.01    spl2737_619 <=> zero_neq_one(complex)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_619])])).
% 59.37/10.01  tff(f69256,plain,(
% 59.37/10.01    sP199(complex) | (~spl2737_619 | ~spl2737_957)),
% 59.37/10.01    inference(resolution,[],[f68886,f67316])).
% 59.37/10.01  tff(f67316,plain,(
% 59.37/10.01    zero_neq_one(complex) | ~spl2737_619),
% 59.37/10.01    inference(avatar_component_clause,[],[f67314])).
% 59.37/10.01  tff(f77701,plain,(
% 59.37/10.01    spl2737_2355),
% 59.37/10.01    inference(avatar_split_clause,[],[f42329,f77699])).
% 59.37/10.01  tff(f77699,plain,(
% 59.37/10.01    spl2737_2355 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (ord_lexordp_eq(X0,sK988(X0,X1,X2),sK989(X0,X1,X2)) | ~sP221(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2355])])).
% 59.37/10.01  tff(f42329,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (ord_lexordp_eq(X0,sK988(X0,X1,X2),sK989(X0,X1,X2)) | ~sP221(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30096])).
% 59.37/10.01  tff(f30096,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((sP221(X0,X1,X2) | ! [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (~ord_lexordp_eq(X0,X5,X6) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) | cons(X0,X4,X6) != X1 | cons(X0,X3,X5) != X2)) & ((ord_lexordp_eq(X0,sK988(X0,X1,X2),sK989(X0,X1,X2)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK987(X0,X1,X2)),sK986(X0,X1,X2))) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK986(X0,X1,X2)),sK987(X0,X1,X2))) & cons(X0,sK987(X0,X1,X2),sK989(X0,X1,X2)) = X1 & cons(X0,sK986(X0,X1,X2),sK988(X0,X1,X2)) = X2) | ~sP221(X0,X1,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK986,sK987,sK988,sK989])],[f30094,f30095])).
% 59.37/10.01  tff(f30095,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (ord_lexordp_eq(X0,X9,X10) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),X7)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X1 & cons(X0,X7,X9) = X2) => (ord_lexordp_eq(X0,sK988(X0,X1,X2),sK989(X0,X1,X2)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK987(X0,X1,X2)),sK986(X0,X1,X2))) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),sK986(X0,X1,X2)),sK987(X0,X1,X2))) & cons(X0,sK987(X0,X1,X2),sK989(X0,X1,X2)) = X1 & cons(X0,sK986(X0,X1,X2),sK988(X0,X1,X2)) = X2))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f30094,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((sP221(X0,X1,X2) | ! [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (~ord_lexordp_eq(X0,X5,X6) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) | cons(X0,X4,X6) != X1 | cons(X0,X3,X5) != X2)) & (? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (ord_lexordp_eq(X0,X9,X10) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),X7)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X1 & cons(X0,X7,X9) = X2) | ~sP221(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f30093])).
% 59.37/10.01  tff(f30093,plain,(
% 59.37/10.01    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : ((sP221(X0,X2,X1) | ! [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (~ord_lexordp_eq(X0,X5,X6) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) | cons(X0,X4,X6) != X2 | cons(X0,X3,X5) != X1)) & (? [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (ord_lexordp_eq(X0,X5,X6) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) & cons(X0,X4,X6) = X2 & cons(X0,X3,X5) = X1) | ~sP221(X0,X2,X1)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27421])).
% 59.37/10.01  tff(f27421,plain,(
% 59.37/10.01    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP221(X0,X2,X1) <=> ? [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (ord_lexordp_eq(X0,X5,X6) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) & cons(X0,X4,X6) = X2 & cons(X0,X3,X5) = X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP221])])).
% 59.37/10.01  tff(f77697,plain,(
% 59.37/10.01    spl2737_2354),
% 59.37/10.01    inference(avatar_split_clause,[],[f42043,f77695])).
% 59.37/10.01  tff(f77695,plain,(
% 59.37/10.01    spl2737_2354 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP202(X0,X2,X1) | ~sP203(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2354])])).
% 59.37/10.01  tff(f42043,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP202(X0,X2,X1) | ~sP203(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29894])).
% 59.37/10.01  tff(f29894,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : ((sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP202(X0,X2,X1)) & (sP202(X0,X2,X1) | ~sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)))) | ~sP203(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27393])).
% 59.37/10.01  tff(f27393,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> sP202(X0,X2,X1)) | ~sP203(X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP203])])).
% 59.37/10.01  tff(f77693,plain,(
% 59.37/10.01    spl2737_2353),
% 59.37/10.01    inference(avatar_split_clause,[],[f42042,f77691])).
% 59.37/10.01  tff(f77691,plain,(
% 59.37/10.01    spl2737_2353 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP202(X0,X2,X1) | ~sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP203(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2353])])).
% 59.37/10.01  tff(f42042,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP202(X0,X2,X1) | ~sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) | ~sP203(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29894])).
% 59.37/10.01  tff(f77689,plain,(
% 59.37/10.01    spl2737_2352),
% 59.37/10.01    inference(avatar_split_clause,[],[f41731,f77687])).
% 59.37/10.01  tff(f77687,plain,(
% 59.37/10.01    spl2737_2352 <=> ! [X0 : $tType] : (groups8242544230860333062m_list(X0) = groups_monoid_F(X0,plus_plus(X0),zero_zero(X0)) | ~monoid_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2352])])).
% 59.37/10.01  tff(f41731,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (groups8242544230860333062m_list(X0) = groups_monoid_F(X0,plus_plus(X0),zero_zero(X0)) | ~monoid_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f22171])).
% 59.37/10.01  tff(f22171,plain,(
% 59.37/10.01    ! [X0 : $tType] : (groups8242544230860333062m_list(X0) = groups_monoid_F(X0,plus_plus(X0),zero_zero(X0)) | ~monoid_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f7271])).
% 59.37/10.01  tff(f7271,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (monoid_add(X0) => groups8242544230860333062m_list(X0) = groups_monoid_F(X0,plus_plus(X0),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7270_sum__list__def)).
% 59.37/10.01  tff(f77685,plain,(
% 59.37/10.01    spl2737_2351),
% 59.37/10.01    inference(avatar_split_clause,[],[f41493,f77683])).
% 59.37/10.01  tff(f77683,plain,(
% 59.37/10.01    spl2737_2351 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),semiri4206861660011772517g_char(X0,type2(X0))) | ~semiring_1(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2351])])).
% 59.37/10.01  tff(f41493,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),semiri4206861660011772517g_char(X0,type2(X0))) | ~semiring_1(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21945])).
% 59.37/10.01  tff(f21945,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),semiri4206861660011772517g_char(X0,type2(X0))) | ~semiring_1(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f6869])).
% 59.37/10.01  tff(f6869,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_1(X0) => zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),semiri4206861660011772517g_char(X0,type2(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6868_of__nat__CHAR)).
% 59.37/10.01  tff(f77681,plain,(
% 59.37/10.01    spl2737_2350),
% 59.37/10.01    inference(avatar_split_clause,[],[f41492,f77679])).
% 59.37/10.01  tff(f77679,plain,(
% 59.37/10.01    spl2737_2350 <=> ! [X0 : $tType] : (semiring_1_Nats(X0) = image(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))) | ~semiring_1(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2350])])).
% 59.37/10.01  tff(f41492,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (semiring_1_Nats(X0) = image(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))) | ~semiring_1(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21944])).
% 59.37/10.01  tff(f21944,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_1_Nats(X0) = image(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))) | ~semiring_1(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5627])).
% 59.37/10.01  tff(f5627,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_1(X0) => semiring_1_Nats(X0) = image(nat,X0,semiring_1_of_nat(X0),top_top(set(nat))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5626_Nats__def)).
% 59.37/10.01  tff(f77677,plain,(
% 59.37/10.01    spl2737_2349),
% 59.37/10.01    inference(avatar_split_clause,[],[f41463,f77675])).
% 59.37/10.01  tff(f77675,plain,(
% 59.37/10.01    spl2737_2349 <=> ! [X0 : $tType,X1 : num] : (one2 = X1 | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2349])])).
% 59.37/10.01  tff(f41463,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : num] : (one2 = X1 | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29725])).
% 59.37/10.01  tff(f29725,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : num] : ((one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | one2 != X1) & (one2 = X1 | one_one(X0) != aa(num,X0,numeral_numeral(X0),X1))) | ~semiring_char_0(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f21928])).
% 59.37/10.01  tff(f21928,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> one2 = X1) | ~semiring_char_0(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13396])).
% 59.37/10.01  tff(f13396,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) <=> one2 = X1))),
% 59.37/10.01    inference(rectify,[],[f2294])).
% 59.37/10.01  tff(f2294,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X8) <=> one2 = X8))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2293_numeral__eq__one__iff)).
% 59.37/10.01  tff(f77673,plain,(
% 59.37/10.01    spl2737_2348),
% 59.37/10.01    inference(avatar_split_clause,[],[f41453,f77671])).
% 59.37/10.01  tff(f77671,plain,(
% 59.37/10.01    spl2737_2348 <=> ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),semiring_char_0_fact(nat,X1)) | ~semiring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2348])])).
% 59.37/10.01  tff(f41453,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),semiring_char_0_fact(nat,X1)) | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21919])).
% 59.37/10.01  tff(f21919,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),semiring_char_0_fact(nat,X1)) | ~semiring_char_0(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13387])).
% 59.37/10.01  tff(f13387,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : nat] : semiring_char_0_fact(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),semiring_char_0_fact(nat,X1)))),
% 59.37/10.01    inference(rectify,[],[f1636])).
% 59.37/10.01  tff(f1636,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : nat] : aa(nat,X0,semiring_1_of_nat(X0),semiring_char_0_fact(nat,X8)) = semiring_char_0_fact(X0,X8))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1635_of__nat__fact)).
% 59.37/10.01  tff(f77669,plain,(
% 59.37/10.01    spl2737_2347),
% 59.37/10.01    inference(avatar_split_clause,[],[f41398,f77667])).
% 59.37/10.01  tff(f77667,plain,(
% 59.37/10.01    spl2737_2347 <=> ! [X0 : $tType] : (groups5270119922927024881d_list(X0) = groups_monoid_F(X0,times_times(X0),one_one(X0)) | ~monoid_mult(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2347])])).
% 59.37/10.01  tff(f41398,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (groups5270119922927024881d_list(X0) = groups_monoid_F(X0,times_times(X0),one_one(X0)) | ~monoid_mult(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21867])).
% 59.37/10.01  tff(f21867,plain,(
% 59.37/10.01    ! [X0 : $tType] : (groups5270119922927024881d_list(X0) = groups_monoid_F(X0,times_times(X0),one_one(X0)) | ~monoid_mult(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f7270])).
% 59.37/10.01  tff(f7270,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (monoid_mult(X0) => groups5270119922927024881d_list(X0) = groups_monoid_F(X0,times_times(X0),one_one(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7269_prod__list__def)).
% 59.37/10.01  tff(f77665,plain,(
% 59.37/10.01    spl2737_2346),
% 59.37/10.01    inference(avatar_split_clause,[],[f41381,f77663])).
% 59.37/10.01  tff(f77663,plain,(
% 59.37/10.01    spl2737_2346 <=> ! [X0 : fun(nat,rat)] : (cauchy(aTP_Lamp_aah(fun(nat,rat),fun(nat,rat),X0)) | pp(vanishes(X0)) | ~cauchy(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2346])])).
% 59.37/10.01  tff(f41381,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,rat)] : (cauchy(aTP_Lamp_aah(fun(nat,rat),fun(nat,rat),X0)) | pp(vanishes(X0)) | ~cauchy(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21857])).
% 59.37/10.01  tff(f21857,plain,(
% 59.37/10.01    ! [X0 : fun(nat,rat)] : (cauchy(aTP_Lamp_aah(fun(nat,rat),fun(nat,rat),X0)) | pp(vanishes(X0)) | ~cauchy(X0))),
% 59.37/10.01    inference(flattening,[],[f21856])).
% 59.37/10.01  tff(f21856,plain,(
% 59.37/10.01    ! [X0 : fun(nat,rat)] : ((cauchy(aTP_Lamp_aah(fun(nat,rat),fun(nat,rat),X0)) | pp(vanishes(X0))) | ~cauchy(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13337])).
% 59.37/10.01  tff(f13337,plain,(
% 59.37/10.01    ! [X0 : fun(nat,rat)] : (cauchy(X0) => (~pp(vanishes(X0)) => cauchy(aTP_Lamp_aah(fun(nat,rat),fun(nat,rat),X0))))),
% 59.37/10.01    inference(rectify,[],[f6401])).
% 59.37/10.01  tff(f6401,axiom,(
% 59.37/10.01    ! [X148 : fun(nat,rat)] : (cauchy(X148) => (~pp(vanishes(X148)) => cauchy(aTP_Lamp_aah(fun(nat,rat),fun(nat,rat),X148))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6400_cauchy__inverse)).
% 59.37/10.01  tff(f77661,plain,(
% 59.37/10.01    spl2737_2345 | ~spl2737_618 | ~spl2737_957),
% 59.37/10.01    inference(avatar_split_clause,[],[f69255,f68885,f67309,f77658])).
% 59.37/10.01  tff(f77658,plain,(
% 59.37/10.01    spl2737_2345 <=> sP199(extended_enat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2345])])).
% 59.37/10.01  tff(f67309,plain,(
% 59.37/10.01    spl2737_618 <=> zero_neq_one(extended_enat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_618])])).
% 59.37/10.01  tff(f69255,plain,(
% 59.37/10.01    sP199(extended_enat) | (~spl2737_618 | ~spl2737_957)),
% 59.37/10.01    inference(resolution,[],[f68886,f67311])).
% 59.37/10.01  tff(f67311,plain,(
% 59.37/10.01    zero_neq_one(extended_enat) | ~spl2737_618),
% 59.37/10.01    inference(avatar_component_clause,[],[f67309])).
% 59.37/10.01  tff(f77656,plain,(
% 59.37/10.01    spl2737_2344),
% 59.37/10.01    inference(avatar_split_clause,[],[f41166,f77654])).
% 59.37/10.01  tff(f77654,plain,(
% 59.37/10.01    spl2737_2344 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2344])])).
% 59.37/10.01  tff(f41166,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) | ~cancel_semigroup_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21673])).
% 59.37/10.01  tff(f21673,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13202])).
% 59.37/10.01  tff(f13202,plain,(
% 59.37/10.01    ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2))),
% 59.37/10.01    inference(rectify,[],[f6161])).
% 59.37/10.01  tff(f6161,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X7 : X0,X30 : set(X0)] : inj_on(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7),X30))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6160_inj__on__add)).
% 59.37/10.01  tff(f77652,plain,(
% 59.37/10.01    spl2737_2343),
% 59.37/10.01    inference(avatar_split_clause,[],[f40850,f77650])).
% 59.37/10.01  tff(f77650,plain,(
% 59.37/10.01    spl2737_2343 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,aTP_Lamp_pu(X0,fun(nat,X0),X1),X2) = X1 | ~counta3822494911875563373attice(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2343])])).
% 59.37/10.01  tff(f40850,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,aTP_Lamp_pu(X0,fun(nat,X0),X1),X2) = X1 | ~counta3822494911875563373attice(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21367])).
% 59.37/10.01  tff(f21367,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : aa(nat,X0,aTP_Lamp_pu(X0,fun(nat,X0),X1),X2) = X1 | ~counta3822494911875563373attice(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12977])).
% 59.37/10.01  tff(f12977,plain,(
% 59.37/10.01    ! [X0 : $tType] : (counta3822494911875563373attice(X0) => ! [X1 : X0,X2 : nat] : aa(nat,X0,aTP_Lamp_pu(X0,fun(nat,X0),X1),X2) = X1)),
% 59.37/10.01    inference(rectify,[],[f8940])).
% 59.37/10.01  tff(f8940,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (counta3822494911875563373attice(X0) => ! [X94 : X0,X353 : nat] : aa(nat,X0,aTP_Lamp_pu(X0,fun(nat,X0),X94),X353) = X94)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8939_ATP_Olambda__824)).
% 59.37/10.01  tff(f77648,plain,(
% 59.37/10.01    spl2737_2342),
% 59.37/10.01    inference(avatar_split_clause,[],[f40717,f77646])).
% 59.37/10.01  tff(f77646,plain,(
% 59.37/10.01    spl2737_2342 <=> ! [X0 : $tType] : (ring_1_Ints(X0) = image(int,X0,ring_1_of_int(X0),top_top(set(int))) | ~ring_1(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2342])])).
% 59.37/10.01  tff(f40717,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (ring_1_Ints(X0) = image(int,X0,ring_1_of_int(X0),top_top(set(int))) | ~ring_1(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21249])).
% 59.37/10.01  tff(f21249,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ring_1_Ints(X0) = image(int,X0,ring_1_of_int(X0),top_top(set(int))) | ~ring_1(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5675])).
% 59.37/10.01  tff(f5675,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ring_1(X0) => ring_1_Ints(X0) = image(int,X0,ring_1_of_int(X0),top_top(set(int))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5674_Ints__def)).
% 59.37/10.01  tff(f77644,plain,(
% 59.37/10.01    spl2737_2341),
% 59.37/10.01    inference(avatar_split_clause,[],[f40629,f77642])).
% 59.37/10.01  tff(f40629,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)) | ~neg_numeral(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21172])).
% 59.37/10.01  tff(f21172,plain,(
% 59.37/10.01    ! [X0 : $tType] : (aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f494])).
% 59.37/10.01  tff(f494,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (neg_numeral(X0) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = neg_numeral_dbl_dec(X0,zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_493_dbl__dec__simps_I2_J)).
% 59.37/10.01  tff(f77640,plain,(
% 59.37/10.01    spl2737_2340),
% 59.37/10.01    inference(avatar_split_clause,[],[f40589,f77638])).
% 59.37/10.01  tff(f77638,plain,(
% 59.37/10.01    spl2737_2340 <=> ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_lv(X0,fun(X0,X0),X1),top_top(set(X0))) | ~ab_group_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2340])])).
% 59.37/10.01  tff(f40589,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (inj_on(X0,X0,aTP_Lamp_lv(X0,fun(X0,X0),X1),top_top(set(X0))) | ~ab_group_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21132])).
% 59.37/10.01  tff(f21132,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : inj_on(X0,X0,aTP_Lamp_lv(X0,fun(X0,X0),X1),top_top(set(X0))) | ~ab_group_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12794])).
% 59.37/10.01  tff(f12794,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ab_group_add(X0) => ! [X1 : X0] : inj_on(X0,X0,aTP_Lamp_lv(X0,fun(X0,X0),X1),top_top(set(X0))))),
% 59.37/10.01    inference(rectify,[],[f6157])).
% 59.37/10.01  tff(f6157,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ab_group_add(X0) => ! [X7 : X0] : inj_on(X0,X0,aTP_Lamp_lv(X0,fun(X0,X0),X7),top_top(set(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6156_inj__diff__right)).
% 59.37/10.01  tff(f77636,plain,(
% 59.37/10.01    spl2737_2339),
% 59.37/10.01    inference(avatar_split_clause,[],[f39856,f77634])).
% 59.37/10.01  tff(f77634,plain,(
% 59.37/10.01    spl2737_2339 <=> ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X1)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2339])])).
% 59.37/10.01  tff(f39856,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X1)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20690])).
% 59.37/10.01  tff(f20690,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X1)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12402])).
% 59.37/10.01  tff(f12402,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X1)))),
% 59.37/10.01    inference(rectify,[],[f3263])).
% 59.37/10.01  tff(f3263,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : bit_se2239418461657761734s_mask(X0,X8) = aa(nat,X0,semiring_1_of_nat(X0),bit_se2239418461657761734s_mask(nat,X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3262_of__nat__mask__eq)).
% 59.37/10.01  tff(f77632,plain,(
% 59.37/10.01    spl2737_2338),
% 59.37/10.01    inference(avatar_split_clause,[],[f39755,f77630])).
% 59.37/10.01  tff(f77630,plain,(
% 59.37/10.01    spl2737_2338 <=> ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),sK785(X1,X0,X2)) = X2 | ~sP162(X1,X0,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2338])])).
% 59.37/10.01  tff(f39755,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),sK785(X1,X0,X2)) = X2 | ~sP162(X1,X0,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29190])).
% 59.37/10.01  tff(f29190,plain,(
% 59.37/10.01    ! [X0 : X1,X1 : $tType,X2 : X1] : ((divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),sK785(X1,X0,X2)) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),sK785(X1,X0,X2)) & divide_divide(X1,one_one(X1),sK785(X1,X0,X2)) = X2 & divide_divide(X1,one_one(X1),X2) = sK785(X1,X0,X2) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK785(X1,X0,X2)),one_one(X1))) & zero_zero(X1) != sK785(X1,X0,X2)) | ~sP162(X1,X0,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK785])],[f29188,f29189])).
% 59.37/10.01  tff(f29189,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : X1,X2 : X1] : (? [X3 : X1] : (divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X3) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),X3) & divide_divide(X1,one_one(X1),X3) = X2 & divide_divide(X1,one_one(X1),X2) = X3 & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),one_one(X1))) & zero_zero(X1) != X3) => (divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),sK785(X1,X0,X2)) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),sK785(X1,X0,X2)) & divide_divide(X1,one_one(X1),sK785(X1,X0,X2)) = X2 & divide_divide(X1,one_one(X1),X2) = sK785(X1,X0,X2) & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),sK785(X1,X0,X2)),one_one(X1))) & zero_zero(X1) != sK785(X1,X0,X2)))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f29188,plain,(
% 59.37/10.01    ! [X0 : X1,X1 : $tType,X2 : X1] : (? [X3 : X1] : (divide_divide(X1,X0,X2) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X3) & one_one(X1) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X2),X3) & divide_divide(X1,one_one(X1),X3) = X2 & divide_divide(X1,one_one(X1),X2) = X3 & pp(aa(X1,bool,aa(X1,fun(X1,bool),dvd_dvd(X1),X3),one_one(X1))) & zero_zero(X1) != X3) | ~sP162(X1,X0,X2))),
% 59.37/10.01    inference(rectify,[],[f29187])).
% 59.37/10.01  tff(f29187,plain,(
% 59.37/10.01    ! [X2 : X0,X0 : $tType,X1 : X0] : (? [X3 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3) & one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) & divide_divide(X0,one_one(X0),X3) = X1 & divide_divide(X0,one_one(X0),X1) = X3 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),one_one(X0))) & zero_zero(X0) != X3) | ~sP162(X0,X2,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27328])).
% 59.37/10.01  tff(f27328,plain,(
% 59.37/10.01    ! [X2 : X0,X0 : $tType,X1 : X0] : (? [X3 : X0] : (divide_divide(X0,X2,X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X3) & one_one(X0) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) & divide_divide(X0,one_one(X0),X3) = X1 & divide_divide(X0,one_one(X0),X1) = X3 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),one_one(X0))) & zero_zero(X0) != X3) | ~sP162(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP162])])).
% 59.37/10.01  tff(f77628,plain,(
% 59.37/10.01    spl2737_2337),
% 59.37/10.01    inference(avatar_split_clause,[],[f39754,f77626])).
% 59.37/10.01  tff(f77626,plain,(
% 59.37/10.01    spl2737_2337 <=> ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),X2) = sK785(X1,X0,X2) | ~sP162(X1,X0,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2337])])).
% 59.37/10.01  tff(f39754,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : X1,X0 : X1] : (divide_divide(X1,one_one(X1),X2) = sK785(X1,X0,X2) | ~sP162(X1,X0,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29190])).
% 59.37/10.01  tff(f77624,plain,(
% 59.37/10.01    spl2737_2336),
% 59.37/10.01    inference(avatar_split_clause,[],[f39557,f77622])).
% 59.37/10.01  tff(f77622,plain,(
% 59.37/10.01    spl2737_2336 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2336])])).
% 59.37/10.01  tff(f39557,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20475])).
% 59.37/10.01  tff(f20475,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12230])).
% 59.37/10.01  tff(f12230,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X1 : nat] : one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)))),
% 59.37/10.01    inference(rectify,[],[f2721])).
% 59.37/10.01  tff(f2721,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_un5681908812861735899ations(X0) => ! [X8 : nat] : one_one(X0) = bit_se2584673776208193580ke_bit(X0,aa(nat,nat,suc,X8),one_one(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2720_take__bit__Suc__1)).
% 59.37/10.01  tff(f77620,plain,(
% 59.37/10.01    spl2737_2335),
% 59.37/10.01    inference(avatar_split_clause,[],[f39512,f77618])).
% 59.37/10.01  tff(f77618,plain,(
% 59.37/10.01    spl2737_2335 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) | ~sP152(X0,X2,X1) | ~sP153(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2335])])).
% 59.37/10.01  tff(f39512,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) | ~sP152(X0,X2,X1) | ~sP153(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29086])).
% 59.37/10.01  tff(f29086,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) | ~sP152(X0,X2,X1)) & (sP152(X0,X2,X1) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)))) | ~sP153(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27313])).
% 59.37/10.01  tff(f27313,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) <=> sP152(X0,X2,X1)) | ~sP153(X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP153])])).
% 59.37/10.01  tff(f77616,plain,(
% 59.37/10.01    spl2737_2334 | ~spl2737_621 | ~spl2737_957),
% 59.37/10.01    inference(avatar_split_clause,[],[f69254,f68885,f67324,f77613])).
% 59.37/10.01  tff(f77613,plain,(
% 59.37/10.01    spl2737_2334 <=> sP199(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2334])])).
% 59.37/10.01  tff(f67324,plain,(
% 59.37/10.01    spl2737_621 <=> zero_neq_one(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_621])])).
% 59.37/10.01  tff(f69254,plain,(
% 59.37/10.01    sP199(code_integer) | (~spl2737_621 | ~spl2737_957)),
% 59.37/10.01    inference(resolution,[],[f68886,f67326])).
% 59.37/10.01  tff(f67326,plain,(
% 59.37/10.01    zero_neq_one(code_integer) | ~spl2737_621),
% 59.37/10.01    inference(avatar_component_clause,[],[f67324])).
% 59.37/10.01  tff(f77611,plain,(
% 59.37/10.01    spl2737_2333),
% 59.37/10.01    inference(avatar_split_clause,[],[f39511,f77609])).
% 59.37/10.01  tff(f77609,plain,(
% 59.37/10.01    spl2737_2333 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : (sP152(X0,X2,X1) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) | ~sP153(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2333])])).
% 59.37/10.01  tff(f39511,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (sP152(X0,X2,X1) | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) | ~sP153(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29086])).
% 59.37/10.01  tff(f77607,plain,(
% 59.37/10.01    spl2737_2332),
% 59.37/10.01    inference(avatar_split_clause,[],[f39130,f77605])).
% 59.37/10.01  tff(f77605,plain,(
% 59.37/10.01    spl2737_2332 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | aa(X0,X0,uminus_uminus(X0),X1) != X1 | ~linord5086331880401160121up_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2332])])).
% 59.37/10.01  tff(f39130,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | aa(X0,X0,uminus_uminus(X0),X1) != X1 | ~linord5086331880401160121up_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28966])).
% 59.37/10.01  tff(f28966,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : ((aa(X0,X0,uminus_uminus(X0),X1) = X1 | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | aa(X0,X0,uminus_uminus(X0),X1) != X1)) | ~linord5086331880401160121up_add(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f20228])).
% 59.37/10.01  tff(f20228,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = X1 <=> zero_zero(X0) = X1) | ~linord5086331880401160121up_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12014])).
% 59.37/10.01  tff(f12014,plain,(
% 59.37/10.01    ! [X0 : $tType] : (linord5086331880401160121up_add(X0) => ! [X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = X1 <=> zero_zero(X0) = X1))),
% 59.37/10.01    inference(rectify,[],[f298])).
% 59.37/10.01  tff(f298,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (linord5086331880401160121up_add(X0) => ! [X7 : X0] : (aa(X0,X0,uminus_uminus(X0),X7) = X7 <=> zero_zero(X0) = X7))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_neg__equal__zero)).
% 59.37/10.01  tff(f77603,plain,(
% 59.37/10.01    spl2737_2331),
% 59.37/10.01    inference(avatar_split_clause,[],[f39103,f77601])).
% 59.37/10.01  tff(f77601,plain,(
% 59.37/10.01    spl2737_2331 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X1 | sP129(X0,X2,X1) | sP130(X0,X2,X1) | ~euclid3128863361964157862miring(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2331])])).
% 59.37/10.01  tff(f39103,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X1 | sP129(X0,X2,X1) | sP130(X0,X2,X1) | ~euclid3128863361964157862miring(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f27279])).
% 59.37/10.01  tff(f27279,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = X1 | (sP129(X0,X2,X1) & zero_zero(X0) != X1) | sP130(X0,X2,X1)) | ~euclid3128863361964157862miring(X0))),
% 59.37/10.01    inference(definition_folding,[],[f20197,f27278,f27277])).
% 59.37/10.01  tff(f27277,plain,(
% 59.37/10.01    ! [X2 : X0,X1 : X0,X0 : $tType] : (? [X3 : X0,X4 : 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)),X4) = X2 & modulo_modulo(X0,X2,X1) = X4 & divide_divide(X0,X2,X1) = X3 & zero_zero(X0) != X4 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X4)),aa(X0,nat,euclid6346220572633701492n_size(X0),X1))) & euclid7384307370059645450egment(X0,X1) = euclid7384307370059645450egment(X0,X4)) | ~sP129(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])])).
% 59.37/10.01  tff(f27278,plain,(
% 59.37/10.01    ! [X2 : X0,X1 : X0,X0 : $tType] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),divide_divide(X0,X2,X1)),X1) = X2 & zero_zero(X0) = modulo_modulo(X0,X2,X1) & zero_zero(X0) != X1) | ~sP130(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])])).
% 59.37/10.01  tff(f20197,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = X1 | (? [X3 : X0,X4 : 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)),X4) = X2 & modulo_modulo(X0,X2,X1) = X4 & divide_divide(X0,X2,X1) = X3 & zero_zero(X0) != X4 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X4)),aa(X0,nat,euclid6346220572633701492n_size(X0),X1))) & euclid7384307370059645450egment(X0,X1) = euclid7384307370059645450egment(X0,X4)) & zero_zero(X0) != X1) | (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),divide_divide(X0,X2,X1)),X1) = X2 & zero_zero(X0) = modulo_modulo(X0,X2,X1) & zero_zero(X0) != X1)) | ~euclid3128863361964157862miring(X0))),
% 59.37/10.01    inference(flattening,[],[f20196])).
% 59.37/10.01  tff(f20196,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = X1 | (? [X3 : X0,X4 : 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)),X4) = X2 & modulo_modulo(X0,X2,X1) = X4) & divide_divide(X0,X2,X1) = X3) & zero_zero(X0) != X4) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X4)),aa(X0,nat,euclid6346220572633701492n_size(X0),X1)))) & euclid7384307370059645450egment(X0,X1) = euclid7384307370059645450egment(X0,X4)) & zero_zero(X0) != X1)) | ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),divide_divide(X0,X2,X1)),X1) = X2 & zero_zero(X0) = modulo_modulo(X0,X2,X1)) & zero_zero(X0) != X1)) | ~euclid3128863361964157862miring(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11990])).
% 59.37/10.01  tff(f11990,plain,(
% 59.37/10.01    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X1 : X0,X2 : X0] : ((zero_zero(X0) != X1 => (zero_zero(X0) = modulo_modulo(X0,X2,X1) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),divide_divide(X0,X2,X1)),X1) != X2)) => ((zero_zero(X0) != X1 => ! [X3 : X0,X4 : X0] : (euclid7384307370059645450egment(X0,X1) = euclid7384307370059645450egment(X0,X4) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X4)),aa(X0,nat,euclid6346220572633701492n_size(X0),X1))) => (zero_zero(X0) != X4 => (divide_divide(X0,X2,X1) = X3 => (modulo_modulo(X0,X2,X1) = X4 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X1)),X4) != X2)))))) => zero_zero(X0) = X1)))),
% 59.37/10.01    inference(rectify,[],[f7033])).
% 59.37/10.01  tff(f7033,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X49 : X0,X7 : X0] : ((zero_zero(X0) != X49 => (zero_zero(X0) = modulo_modulo(X0,X7,X49) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),divide_divide(X0,X7,X49)),X49) != X7)) => ((zero_zero(X0) != X49 => ! [X57 : X0,X144 : X0] : (euclid7384307370059645450egment(X0,X144) = euclid7384307370059645450egment(X0,X49) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X144)),aa(X0,nat,euclid6346220572633701492n_size(X0),X49))) => (zero_zero(X0) != X144 => (divide_divide(X0,X7,X49) = X57 => (modulo_modulo(X0,X7,X49) = X144 => aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X57),X49)),X144) != X7)))))) => zero_zero(X0) = X49)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7032_divmod__cases)).
% 59.37/10.01  tff(f77599,plain,(
% 59.37/10.01    spl2737_2330),
% 59.37/10.01    inference(avatar_split_clause,[],[f39096,f77597])).
% 59.37/10.01  tff(f77597,plain,(
% 59.37/10.01    spl2737_2330 <=> ! [X2 : $tType,X0 : X2,X1 : X2] : (euclid7384307370059645450egment(X2,X1) = euclid7384307370059645450egment(X2,sK762(X2,X0,X1)) | ~sP129(X2,X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2330])])).
% 59.37/10.01  tff(f39096,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X0 : X2,X1 : X2] : (euclid7384307370059645450egment(X2,X1) = euclid7384307370059645450egment(X2,sK762(X2,X0,X1)) | ~sP129(X2,X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28962])).
% 59.37/10.01  tff(f28962,plain,(
% 59.37/10.01    ! [X0 : X2,X1 : X2,X2 : $tType] : ((aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),sK761(X2,X0,X1)),X1)),sK762(X2,X0,X1)) = X0 & modulo_modulo(X2,X0,X1) = sK762(X2,X0,X1) & divide_divide(X2,X0,X1) = sK761(X2,X0,X1) & zero_zero(X2) != sK762(X2,X0,X1) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X2,nat,euclid6346220572633701492n_size(X2),sK762(X2,X0,X1))),aa(X2,nat,euclid6346220572633701492n_size(X2),X1))) & euclid7384307370059645450egment(X2,X1) = euclid7384307370059645450egment(X2,sK762(X2,X0,X1))) | ~sP129(X2,X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK761,sK762])],[f28960,f28961])).
% 59.37/10.01  tff(f28961,plain,(
% 59.37/10.01    ! [X2 : $tType,X0 : X2,X1 : X2] : (? [X3 : X2,X4 : X2] : (aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),X3),X1)),X4) = X0 & modulo_modulo(X2,X0,X1) = X4 & divide_divide(X2,X0,X1) = X3 & zero_zero(X2) != X4 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X2,nat,euclid6346220572633701492n_size(X2),X4)),aa(X2,nat,euclid6346220572633701492n_size(X2),X1))) & euclid7384307370059645450egment(X2,X1) = euclid7384307370059645450egment(X2,X4)) => (aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),sK761(X2,X0,X1)),X1)),sK762(X2,X0,X1)) = X0 & modulo_modulo(X2,X0,X1) = sK762(X2,X0,X1) & divide_divide(X2,X0,X1) = sK761(X2,X0,X1) & zero_zero(X2) != sK762(X2,X0,X1) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X2,nat,euclid6346220572633701492n_size(X2),sK762(X2,X0,X1))),aa(X2,nat,euclid6346220572633701492n_size(X2),X1))) & euclid7384307370059645450egment(X2,X1) = euclid7384307370059645450egment(X2,sK762(X2,X0,X1))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f28960,plain,(
% 59.37/10.01    ! [X0 : X2,X1 : X2,X2 : $tType] : (? [X3 : X2,X4 : X2] : (aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),X3),X1)),X4) = X0 & modulo_modulo(X2,X0,X1) = X4 & divide_divide(X2,X0,X1) = X3 & zero_zero(X2) != X4 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X2,nat,euclid6346220572633701492n_size(X2),X4)),aa(X2,nat,euclid6346220572633701492n_size(X2),X1))) & euclid7384307370059645450egment(X2,X1) = euclid7384307370059645450egment(X2,X4)) | ~sP129(X2,X0,X1))),
% 59.37/10.01    inference(rectify,[],[f28959])).
% 59.37/10.01  tff(f28959,plain,(
% 59.37/10.01    ! [X2 : X0,X1 : X0,X0 : $tType] : (? [X3 : X0,X4 : 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)),X4) = X2 & modulo_modulo(X0,X2,X1) = X4 & divide_divide(X0,X2,X1) = X3 & zero_zero(X0) != X4 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,euclid6346220572633701492n_size(X0),X4)),aa(X0,nat,euclid6346220572633701492n_size(X0),X1))) & euclid7384307370059645450egment(X0,X1) = euclid7384307370059645450egment(X0,X4)) | ~sP129(X0,X2,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27277])).
% 59.37/10.01  tff(f77595,plain,(
% 59.37/10.01    spl2737_2329),
% 59.37/10.01    inference(avatar_split_clause,[],[f38831,f77593])).
% 59.37/10.01  tff(f77593,plain,(
% 59.37/10.01    spl2737_2329 <=> ! [X0 : $tType,X1 : int] : (zero_zero(X0) = power_int(X0,zero_zero(X0),X1) | zero_zero(int) = X1 | ~division_ring(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2329])])).
% 59.37/10.01  tff(f38831,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : int] : (zero_zero(X0) = power_int(X0,zero_zero(X0),X1) | zero_zero(int) = X1 | ~division_ring(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20056])).
% 59.37/10.01  tff(f20056,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : int] : ((zero_zero(X0) = power_int(X0,zero_zero(X0),X1) | zero_zero(int) = X1) & (one_one(X0) = power_int(X0,zero_zero(X0),X1) | zero_zero(int) != X1)) | ~division_ring(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11867])).
% 59.37/10.01  tff(f11867,plain,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : int] : ((zero_zero(int) != X1 => zero_zero(X0) = power_int(X0,zero_zero(X0),X1)) & (zero_zero(int) = X1 => one_one(X0) = power_int(X0,zero_zero(X0),X1))))),
% 59.37/10.01    inference(rectify,[],[f2202])).
% 59.37/10.01  tff(f2202,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X9 : int] : ((zero_zero(int) != X9 => zero_zero(X0) = power_int(X0,zero_zero(X0),X9)) & (zero_zero(int) = X9 => one_one(X0) = power_int(X0,zero_zero(X0),X9))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2201_power__int__0__left__If)).
% 59.37/10.01  tff(f77591,plain,(
% 59.37/10.01    spl2737_2328),
% 59.37/10.01    inference(avatar_split_clause,[],[f38823,f77589])).
% 59.37/10.01  tff(f38823,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1) | ~division_ring(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20049])).
% 59.37/10.01  tff(f20049,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1) | ~division_ring(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11860])).
% 59.37/10.01  tff(f11860,plain,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : aa(X0,X0,inverse_inverse(X0),X1) = divide_divide(X0,one_one(X0),X1))),
% 59.37/10.01    inference(rectify,[],[f1174])).
% 59.37/10.01  tff(f1174,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0] : aa(X0,X0,inverse_inverse(X0),X7) = divide_divide(X0,one_one(X0),X7))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1173_inverse__eq__divide)).
% 59.37/10.01  tff(f77587,plain,(
% 59.37/10.01    spl2737_2327),
% 59.37/10.01    inference(avatar_split_clause,[],[f38462,f77585])).
% 59.37/10.01  tff(f77585,plain,(
% 59.37/10.01    spl2737_2327 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,aTP_Lamp_br(X0,fun(nat,X0),X1),X2) = X1 | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2327])])).
% 59.37/10.01  tff(f38462,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,aTP_Lamp_br(X0,fun(nat,X0),X1),X2) = X1 | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19712])).
% 59.37/10.01  tff(f19712,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : aa(nat,X0,aTP_Lamp_br(X0,fun(nat,X0),X1),X2) = X1 | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11582])).
% 59.37/10.01  tff(f11582,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0,X2 : nat] : aa(nat,X0,aTP_Lamp_br(X0,fun(nat,X0),X1),X2) = X1)),
% 59.37/10.01    inference(rectify,[],[f8942])).
% 59.37/10.01  tff(f8942,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X94 : X0,X353 : nat] : aa(nat,X0,aTP_Lamp_br(X0,fun(nat,X0),X94),X353) = X94)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8941_ATP_Olambda__826)).
% 59.37/10.01  tff(f77583,plain,(
% 59.37/10.01    spl2737_2326),
% 59.37/10.01    inference(avatar_split_clause,[],[f38461,f77581])).
% 59.37/10.01  tff(f77581,plain,(
% 59.37/10.01    spl2737_2326 <=> ! [X0 : $tType,X2 : real,X1 : X0] : (aa(real,X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),X2) = X1 | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2326])])).
% 59.37/10.01  tff(f38461,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : real,X1 : X0] : (aa(real,X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),X2) = X1 | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19711])).
% 59.37/10.01  tff(f19711,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : real] : aa(real,X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),X2) = X1 | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11581])).
% 59.37/10.01  tff(f11581,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0,X2 : real] : aa(real,X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),X2) = X1)),
% 59.37/10.01    inference(rectify,[],[f8941])).
% 59.37/10.01  tff(f8941,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X94 : X0,X353 : real] : aa(real,X0,aTP_Lamp_aeh(X0,fun(real,X0),X94),X353) = X94)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8940_ATP_Olambda__825)).
% 59.37/10.01  tff(f77579,plain,(
% 59.37/10.01    spl2737_2325),
% 59.37/10.01    inference(avatar_split_clause,[],[f38444,f77577])).
% 59.37/10.01  tff(f77577,plain,(
% 59.37/10.01    spl2737_2325 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2325])])).
% 59.37/10.01  tff(f38444,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X1)) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28796])).
% 59.37/10.01  tff(f28796,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : ((summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X1)) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | ~summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X1)))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f19702])).
% 59.37/10.01  tff(f19702,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : (summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X1)) <=> zero_zero(X0) = X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11572])).
% 59.37/10.01  tff(f11572,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : (summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X1)) <=> zero_zero(X0) = X1))),
% 59.37/10.01    inference(rectify,[],[f3654])).
% 59.37/10.01  tff(f3654,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X50 : X0] : (summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X50)) <=> zero_zero(X0) = X50))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3653_summable__const__iff)).
% 59.37/10.01  tff(f77575,plain,(
% 59.37/10.01    spl2737_2324),
% 59.37/10.01    inference(avatar_split_clause,[],[f38408,f77573])).
% 59.37/10.01  tff(f77573,plain,(
% 59.37/10.01    spl2737_2324 <=> ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,X1) = real_V7770717601297561774m_norm(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2324])])).
% 59.37/10.01  tff(f38408,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,X1) = real_V7770717601297561774m_norm(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19684])).
% 59.37/10.01  tff(f19684,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : real_V7770717601297561774m_norm(X0,X1) = real_V7770717601297561774m_norm(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11554])).
% 59.37/10.01  tff(f11554,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : real_V7770717601297561774m_norm(X0,X1) = real_V7770717601297561774m_norm(X0,aa(X0,X0,uminus_uminus(X0),X1)))),
% 59.37/10.01    inference(rectify,[],[f2029])).
% 59.37/10.01  tff(f2029,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X14 : X0] : real_V7770717601297561774m_norm(X0,aa(X0,X0,uminus_uminus(X0),X14)) = real_V7770717601297561774m_norm(X0,X14))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2028_norm__minus__cancel)).
% 59.37/10.01  tff(f77571,plain,(
% 59.37/10.01    spl2737_2323 | ~spl2737_620 | ~spl2737_957),
% 59.37/10.01    inference(avatar_split_clause,[],[f69253,f68885,f67319,f77568])).
% 59.37/10.01  tff(f77568,plain,(
% 59.37/10.01    spl2737_2323 <=> sP199(code_natural)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2323])])).
% 59.37/10.01  tff(f67319,plain,(
% 59.37/10.01    spl2737_620 <=> zero_neq_one(code_natural)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_620])])).
% 59.37/10.01  tff(f69253,plain,(
% 59.37/10.01    sP199(code_natural) | (~spl2737_620 | ~spl2737_957)),
% 59.37/10.01    inference(resolution,[],[f68886,f67321])).
% 59.37/10.01  tff(f67321,plain,(
% 59.37/10.01    zero_neq_one(code_natural) | ~spl2737_620),
% 59.37/10.01    inference(avatar_component_clause,[],[f67319])).
% 59.37/10.01  tff(f77566,plain,(
% 59.37/10.01    spl2737_2322),
% 59.37/10.01    inference(avatar_split_clause,[],[f38328,f77564])).
% 59.37/10.01  tff(f77564,plain,(
% 59.37/10.01    spl2737_2322 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),X2) = X1 | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2322])])).
% 59.37/10.01  tff(f38328,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (aa(X0,X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),X2) = X1 | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19602])).
% 59.37/10.01  tff(f19602,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : aa(X0,X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),X2) = X1 | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11490])).
% 59.37/10.01  tff(f11490,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0,X2 : X0] : aa(X0,X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),X2) = X1)),
% 59.37/10.01    inference(rectify,[],[f8943])).
% 59.37/10.01  tff(f8943,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X94 : X0,X353 : X0] : aa(X0,X0,aTP_Lamp_qq(X0,fun(X0,X0),X94),X353) = X94)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8942_ATP_Olambda__827)).
% 59.37/10.01  tff(f77562,plain,(
% 59.37/10.01    spl2737_2321),
% 59.37/10.01    inference(avatar_split_clause,[],[f38313,f77560])).
% 59.37/10.01  tff(f77560,plain,(
% 59.37/10.01    spl2737_2321 <=> ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vl(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2321])])).
% 59.37/10.01  tff(f38313,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vl(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19588])).
% 59.37/10.01  tff(f19588,plain,(
% 59.37/10.01    ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vl(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5937])).
% 59.37/10.01  tff(f5937,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => filterlim(nat,X0,aTP_Lamp_vl(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5936_lim__inverse__n)).
% 59.37/10.01  tff(f77558,plain,(
% 59.37/10.01    spl2737_2320),
% 59.37/10.01    inference(avatar_split_clause,[],[f38312,f77556])).
% 59.37/10.01  tff(f77556,plain,(
% 59.37/10.01    spl2737_2320 <=> ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vw(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2320])])).
% 59.37/10.01  tff(f38312,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vw(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19587])).
% 59.37/10.01  tff(f19587,plain,(
% 59.37/10.01    ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vw(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5949])).
% 59.37/10.01  tff(f5949,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => filterlim(nat,X0,aTP_Lamp_vw(nat,X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_top(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5948_lim__1__over__n)).
% 59.37/10.01  tff(f77554,plain,(
% 59.37/10.01    spl2737_2319),
% 59.37/10.01    inference(avatar_split_clause,[],[f38311,f77552])).
% 59.37/10.01  tff(f77552,plain,(
% 59.37/10.01    spl2737_2319 <=> ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vx(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2319])])).
% 59.37/10.01  tff(f38311,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vx(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19586])).
% 59.37/10.01  tff(f19586,plain,(
% 59.37/10.01    ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vx(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5950])).
% 59.37/10.01  tff(f5950,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => filterlim(nat,X0,aTP_Lamp_vx(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5949_LIMSEQ__n__over__Suc__n)).
% 59.37/10.01  tff(f77550,plain,(
% 59.37/10.01    spl2737_2318),
% 59.37/10.01    inference(avatar_split_clause,[],[f38310,f77548])).
% 59.37/10.01  tff(f77548,plain,(
% 59.37/10.01    spl2737_2318 <=> ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vy(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2318])])).
% 59.37/10.01  tff(f38310,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vy(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19585])).
% 59.37/10.01  tff(f19585,plain,(
% 59.37/10.01    ! [X0 : $tType] : (filterlim(nat,X0,aTP_Lamp_vy(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5951])).
% 59.37/10.01  tff(f5951,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => filterlim(nat,X0,aTP_Lamp_vy(nat,X0),topolo7230453075368039082e_nhds(X0,one_one(X0)),at_top(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5950_LIMSEQ__Suc__n__over__n)).
% 59.37/10.01  tff(f77546,plain,(
% 59.37/10.01    spl2737_2317),
% 59.37/10.01    inference(avatar_split_clause,[],[f37710,f77544])).
% 59.37/10.01  tff(f77544,plain,(
% 59.37/10.01    spl2737_2317 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),X1) | ~linordered_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2317])])).
% 59.37/10.01  tff(f37710,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),X1) | ~linordered_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28495])).
% 59.37/10.01  tff(f28495,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = divide_divide(X0,one_one(X0),X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != divide_divide(X0,one_one(X0),X1))) | ~linordered_field(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f19344])).
% 59.37/10.01  tff(f19344,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),X1) <=> zero_zero(X0) = X1) | ~linordered_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11297])).
% 59.37/10.01  tff(f11297,plain,(
% 59.37/10.01    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),X1) <=> zero_zero(X0) = X1))),
% 59.37/10.01    inference(rectify,[],[f971])).
% 59.37/10.01  tff(f971,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),X7) <=> zero_zero(X0) = X7))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_970_one__divide__eq__0__iff)).
% 59.37/10.01  tff(f77542,plain,(
% 59.37/10.01    spl2737_2316),
% 59.37/10.01    inference(avatar_split_clause,[],[f37486,f77540])).
% 59.37/10.01  tff(f77540,plain,(
% 59.37/10.01    spl2737_2316 <=> ! [X0 : $tType,X1 : rat] : (archimedean_ceiling(X0,aa(rat,X0,field_char_0_of_rat(X0),X1)) = archimedean_ceiling(rat,X1) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2316])])).
% 59.37/10.01  tff(f37486,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : rat] : (archimedean_ceiling(X0,aa(rat,X0,field_char_0_of_rat(X0),X1)) = archimedean_ceiling(rat,X1) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19180])).
% 59.37/10.01  tff(f19180,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : rat] : archimedean_ceiling(X0,aa(rat,X0,field_char_0_of_rat(X0),X1)) = archimedean_ceiling(rat,X1) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11147])).
% 59.37/10.01  tff(f11147,plain,(
% 59.37/10.01    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : rat] : archimedean_ceiling(X0,aa(rat,X0,field_char_0_of_rat(X0),X1)) = archimedean_ceiling(rat,X1))),
% 59.37/10.01    inference(rectify,[],[f6716])).
% 59.37/10.01  tff(f6716,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X116 : rat] : archimedean_ceiling(X0,aa(rat,X0,field_char_0_of_rat(X0),X116)) = archimedean_ceiling(rat,X116))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6715_of__rat__ceiling)).
% 59.37/10.01  tff(f77538,plain,(
% 59.37/10.01    spl2737_2315),
% 59.37/10.01    inference(avatar_split_clause,[],[f37234,f77536])).
% 59.37/10.01  tff(f77536,plain,(
% 59.37/10.01    spl2737_2315 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(set(X0),X0,semiring_gcd_Gcd_fin(X0),bot_bot(set(X0))) | ~semiring_gcd(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2315])])).
% 59.37/10.01  tff(f37234,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(set(X0),X0,semiring_gcd_Gcd_fin(X0),bot_bot(set(X0))) | ~semiring_gcd(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18999])).
% 59.37/10.01  tff(f18999,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(set(X0),X0,semiring_gcd_Gcd_fin(X0),bot_bot(set(X0))) | ~semiring_gcd(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f6926])).
% 59.37/10.01  tff(f6926,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_gcd(X0) => zero_zero(X0) = aa(set(X0),X0,semiring_gcd_Gcd_fin(X0),bot_bot(set(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6925_Gcd__fin_Oempty)).
% 59.37/10.01  tff(f77534,plain,(
% 59.37/10.01    spl2737_2314),
% 59.37/10.01    inference(avatar_split_clause,[],[f37233,f77532])).
% 59.37/10.01  tff(f77532,plain,(
% 59.37/10.01    spl2737_2314 <=> ! [X0 : $tType] : (one_one(X0) = aa(set(X0),X0,semiring_gcd_Lcm_fin(X0),bot_bot(set(X0))) | ~semiring_gcd(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2314])])).
% 59.37/10.01  tff(f37233,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (one_one(X0) = aa(set(X0),X0,semiring_gcd_Lcm_fin(X0),bot_bot(set(X0))) | ~semiring_gcd(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18998])).
% 59.37/10.01  tff(f18998,plain,(
% 59.37/10.01    ! [X0 : $tType] : (one_one(X0) = aa(set(X0),X0,semiring_gcd_Lcm_fin(X0),bot_bot(set(X0))) | ~semiring_gcd(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f7670])).
% 59.37/10.01  tff(f7670,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_gcd(X0) => one_one(X0) = aa(set(X0),X0,semiring_gcd_Lcm_fin(X0),bot_bot(set(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7669_Lcm__fin_Oempty)).
% 59.37/10.01  tff(f77530,plain,(
% 59.37/10.01    spl2737_2313),
% 59.37/10.01    inference(avatar_split_clause,[],[f36965,f77528])).
% 59.37/10.01  tff(f77528,plain,(
% 59.37/10.01    spl2737_2313 <=> ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2313])])).
% 59.37/10.01  tff(f36965,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18827])).
% 59.37/10.01  tff(f18827,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10853])).
% 59.37/10.01  tff(f10853,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat] : bit_se2239418461657761734s_mask(X0,X1) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X1)))),
% 59.37/10.01    inference(rectify,[],[f3262])).
% 59.37/10.01  tff(f3262,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat] : bit_se2239418461657761734s_mask(X0,X8) = aa(int,X0,ring_1_of_int(X0),bit_se2239418461657761734s_mask(int,X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3261_of__int__mask__eq)).
% 59.37/10.01  tff(f77526,plain,(
% 59.37/10.01    spl2737_2312 | ~spl2737_624 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69252,f68881,f67339,f77523])).
% 59.37/10.01  tff(f77523,plain,(
% 59.37/10.01    spl2737_2312 <=> sP197(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2312])])).
% 59.37/10.01  tff(f68881,plain,(
% 59.37/10.01    spl2737_956 <=> ! [X0 : $tType] : (sP197(X0) | ~zero_neq_one(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_956])])).
% 59.37/10.01  tff(f69252,plain,(
% 59.37/10.01    sP197(int) | (~spl2737_624 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67341])).
% 59.37/10.01  tff(f68882,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~zero_neq_one(X0) | sP197(X0)) ) | ~spl2737_956),
% 59.37/10.01    inference(avatar_component_clause,[],[f68881])).
% 59.37/10.01  tff(f77521,plain,(
% 59.37/10.01    spl2737_2311),
% 59.37/10.01    inference(avatar_split_clause,[],[f36964,f77519])).
% 59.37/10.01  tff(f77519,plain,(
% 59.37/10.01    spl2737_2311 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2311])])).
% 59.37/10.01  tff(f36964,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18826])).
% 59.37/10.01  tff(f18826,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10852])).
% 59.37/10.01  tff(f10852,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat] : one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X1),one_one(X0)))),
% 59.37/10.01    inference(rectify,[],[f2548])).
% 59.37/10.01  tff(f2548,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat] : one_one(X0) = bit_ri4674362597316999326ke_bit(X0,aa(nat,nat,suc,X8),one_one(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2547_signed__take__bit__Suc__1)).
% 59.37/10.01  tff(f77517,plain,(
% 59.37/10.01    spl2737_2310),
% 59.37/10.01    inference(avatar_split_clause,[],[f36865,f77515])).
% 59.37/10.01  tff(f77515,plain,(
% 59.37/10.01    spl2737_2310 <=> ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) | zero_zero(X0) != sK633(X0,X1) | ~semiring_Gcd(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2310])])).
% 59.37/10.01  tff(f36865,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) | zero_zero(X0) != sK633(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28166])).
% 59.37/10.01  tff(f28166,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : ((zero_zero(X0) = gcd_Lcm(X0,X1) | (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),sK633(X0,X1))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != sK633(X0,X1))) & (! [X4 : X0] : ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),sK634(X0,X1,X4)),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK634(X0,X1,X4)),X1))) | zero_zero(X0) = X4) | zero_zero(X0) != gcd_Lcm(X0,X1))) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK633,sK634])],[f28163,f28165,f28164])).
% 59.37/10.01  tff(f28164,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != X2) => (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),sK633(X0,X1))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != sK633(X0,X1)))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f28165,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X4 : X0] : (? [X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X5),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X1))) => (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),sK634(X0,X1,X4)),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK634(X0,X1,X4)),X1))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f28163,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : ((zero_zero(X0) = gcd_Lcm(X0,X1) | ? [X2 : X0] : (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != X2)) & (! [X4 : X0] : (? [X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X5),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X1))) | zero_zero(X0) = X4) | zero_zero(X0) != gcd_Lcm(X0,X1))) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(rectify,[],[f28162])).
% 59.37/10.01  tff(f28162,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : ((zero_zero(X0) = gcd_Lcm(X0,X1) | ? [X2 : X0] : (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != X2)) & (! [X2 : X0] : (? [X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) | zero_zero(X0) = X2) | zero_zero(X0) != gcd_Lcm(X0,X1))) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f18744])).
% 59.37/10.01  tff(f18744,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) <=> ! [X2 : X0] : (? [X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) | zero_zero(X0) = X2)) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10793])).
% 59.37/10.01  tff(f10793,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) <=> ~? [X2 : X0] : (! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2))) & zero_zero(X0) != X2)))),
% 59.37/10.01    inference(rectify,[],[f7507])).
% 59.37/10.01  tff(f7507,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X30) <=> ~? [X204 : X0] : (! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X30)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X115),X204))) & zero_zero(X0) != X204)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7506_Lcm__0__iff_H)).
% 59.37/10.01  tff(f77513,plain,(
% 59.37/10.01    spl2737_2309),
% 59.37/10.01    inference(avatar_split_clause,[],[f36856,f77511])).
% 59.37/10.01  tff(f77511,plain,(
% 59.37/10.01    spl2737_2309 <=> ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) | zero_zero(X0) != sK631(X0,X1) | ~semiring_Gcd(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2309])])).
% 59.37/10.01  tff(f36856,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) | zero_zero(X0) != sK631(X0,X1) | ~semiring_Gcd(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28156])).
% 59.37/10.01  tff(f28156,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) | (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),sK631(X0,X1))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != sK631(X0,X1))) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK631])],[f18741,f28155])).
% 59.37/10.01  tff(f28155,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : X0] : (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != X2) => (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),sK631(X0,X1))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != sK631(X0,X1)))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f18741,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : (zero_zero(X0) = gcd_Lcm(X0,X1) | ? [X2 : X0] : (! [X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & zero_zero(X0) != X2)) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10790])).
% 59.37/10.01  tff(f10790,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : (! [X2 : X0] : (zero_zero(X0) != X2 => ? [X3 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))) => zero_zero(X0) = gcd_Lcm(X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f7506])).
% 59.37/10.01  tff(f7506,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : (! [X16 : X0] : (zero_zero(X0) != X16 => ? [X63 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X63),X16)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X63),X30)))) => zero_zero(X0) = gcd_Lcm(X0,X30)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7505_Lcm__no__multiple)).
% 59.37/10.01  tff(f77509,plain,(
% 59.37/10.01    spl2737_2308),
% 59.37/10.01    inference(avatar_split_clause,[],[f36830,f77507])).
% 59.37/10.01  tff(f77507,plain,(
% 59.37/10.01    spl2737_2308 <=> ! [X0 : $tType,X1 : set(X0)] : (gcd_Lcm(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Lcm(X0,X1)) | ~semiring_Gcd(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2308])])).
% 59.37/10.01  tff(f36830,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (gcd_Lcm(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Lcm(X0,X1)) | ~semiring_Gcd(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18722])).
% 59.37/10.01  tff(f18722,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : gcd_Lcm(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Lcm(X0,X1)) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10773])).
% 59.37/10.01  tff(f10773,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : gcd_Lcm(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Lcm(X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f7531])).
% 59.37/10.01  tff(f7531,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : gcd_Lcm(X0,X30) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Lcm(X0,X30)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7530_normalize__Lcm)).
% 59.37/10.01  tff(f77505,plain,(
% 59.37/10.01    spl2737_2307),
% 59.37/10.01    inference(avatar_split_clause,[],[f36829,f77503])).
% 59.37/10.01  tff(f77503,plain,(
% 59.37/10.01    spl2737_2307 <=> ! [X0 : $tType,X1 : set(X0)] : (gcd_Gcd(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Gcd(X0,X1)) | ~semiring_Gcd(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2307])])).
% 59.37/10.01  tff(f36829,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (gcd_Gcd(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Gcd(X0,X1)) | ~semiring_Gcd(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18721])).
% 59.37/10.01  tff(f18721,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : gcd_Gcd(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Gcd(X0,X1)) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10772])).
% 59.37/10.01  tff(f10772,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : gcd_Gcd(X0,X1) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Gcd(X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f7532])).
% 59.37/10.01  tff(f7532,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : gcd_Gcd(X0,X30) = aa(X0,X0,normal6383669964737779283malize(X0),gcd_Gcd(X0,X30)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7531_normalize__Gcd)).
% 59.37/10.01  tff(f77501,plain,(
% 59.37/10.01    spl2737_2306),
% 59.37/10.01    inference(avatar_split_clause,[],[f36828,f77499])).
% 59.37/10.01  tff(f77499,plain,(
% 59.37/10.01    spl2737_2306 <=> ! [X0 : $tType,X1 : set(X0)] : (gcd_Gcd(X0,X1) = gcd_Gcd(X0,image(X0,X0,normal6383669964737779283malize(X0),X1)) | ~semiring_Gcd(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2306])])).
% 59.37/10.01  tff(f36828,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (gcd_Gcd(X0,X1) = gcd_Gcd(X0,image(X0,X0,normal6383669964737779283malize(X0),X1)) | ~semiring_Gcd(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18720])).
% 59.37/10.01  tff(f18720,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : gcd_Gcd(X0,X1) = gcd_Gcd(X0,image(X0,X0,normal6383669964737779283malize(X0),X1)) | ~semiring_Gcd(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10771])).
% 59.37/10.01  tff(f10771,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : set(X0)] : gcd_Gcd(X0,X1) = gcd_Gcd(X0,image(X0,X0,normal6383669964737779283malize(X0),X1)))),
% 59.37/10.01    inference(rectify,[],[f7536])).
% 59.37/10.01  tff(f7536,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X30 : set(X0)] : gcd_Gcd(X0,X30) = gcd_Gcd(X0,image(X0,X0,normal6383669964737779283malize(X0),X30)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7535_Gcd__image__normalize)).
% 59.37/10.01  tff(f77497,plain,(
% 59.37/10.01    spl2737_2305),
% 59.37/10.01    inference(avatar_split_clause,[],[f36721,f77495])).
% 59.37/10.01  tff(f77495,plain,(
% 59.37/10.01    spl2737_2305 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)) | ~topolo1633459387980952147up_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2305])])).
% 59.37/10.01  tff(f36721,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)) | ~topolo1633459387980952147up_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18648])).
% 59.37/10.01  tff(f18648,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)) | ~topolo1633459387980952147up_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10713])).
% 59.37/10.01  tff(f10713,plain,(
% 59.37/10.01    ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X1 : set(X0),X2 : X0] : topolo81223032696312382ous_on(X0,X0,X1,aa(X0,fun(X0,X0),minus_minus(X0),X2)))),
% 59.37/10.01    inference(rectify,[],[f6166])).
% 59.37/10.01  tff(f6166,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (topolo1633459387980952147up_add(X0) => ! [X40 : set(X0),X14 : X0] : topolo81223032696312382ous_on(X0,X0,X40,aa(X0,fun(X0,X0),minus_minus(X0),X14)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6165_continuous__on__op__minus)).
% 59.37/10.01  tff(f77493,plain,(
% 59.37/10.01    spl2737_2304),
% 59.37/10.01    inference(avatar_split_clause,[],[f36448,f77491])).
% 59.37/10.01  tff(f77491,plain,(
% 59.37/10.01    spl2737_2304 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = powr(X0,X1,zero_zero(X0)) | zero_zero(X0) = X1 | ~ln(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2304])])).
% 59.37/10.01  tff(f36448,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = powr(X0,X1,zero_zero(X0)) | zero_zero(X0) = X1 | ~ln(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18465])).
% 59.37/10.01  tff(f18465,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : ((one_one(X0) = powr(X0,X1,zero_zero(X0)) | zero_zero(X0) = X1) & (zero_zero(X0) = powr(X0,X1,zero_zero(X0)) | zero_zero(X0) != X1)) | ~ln(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10555])).
% 59.37/10.01  tff(f10555,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ln(X0) => ! [X1 : X0] : ((zero_zero(X0) != X1 => one_one(X0) = powr(X0,X1,zero_zero(X0))) & (zero_zero(X0) = X1 => zero_zero(X0) = powr(X0,X1,zero_zero(X0)))))),
% 59.37/10.01    inference(rectify,[],[f1604])).
% 59.37/10.01  tff(f1604,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ln(X0) => ! [X14 : X0] : ((zero_zero(X0) != X14 => one_one(X0) = powr(X0,X14,zero_zero(X0))) & (zero_zero(X0) = X14 => zero_zero(X0) = powr(X0,X14,zero_zero(X0)))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1603_powr__zero__eq__one)).
% 59.37/10.01  tff(f77486,plain,(
% 59.37/10.01    spl2737_2303 | ~spl2737_2301),
% 59.37/10.01    inference(avatar_split_clause,[],[f77477,f77474,f77484])).
% 59.37/10.01  tff(f77474,plain,(
% 59.37/10.01    spl2737_2301 <=> ! [X0 : complex] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X0)),pi))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2301])])).
% 59.37/10.01  tff(f77477,plain,(
% 59.37/10.01    ( ! [X0 : complex] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),pi),arg(X0)))) ) | ~spl2737_2301),
% 59.37/10.01    inference(forward_demodulation,[],[f77475,f50171])).
% 59.37/10.01  tff(f77475,plain,(
% 59.37/10.01    ( ! [X0 : complex] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X0)),pi))) ) | ~spl2737_2301),
% 59.37/10.01    inference(avatar_component_clause,[],[f77474])).
% 59.37/10.01  tff(f77482,plain,(
% 59.37/10.01    spl2737_2302 | ~spl2737_625 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69251,f68881,f67344,f77479])).
% 59.37/10.01  tff(f77479,plain,(
% 59.37/10.01    spl2737_2302 <=> sP197(nat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2302])])).
% 59.37/10.01  tff(f69251,plain,(
% 59.37/10.01    sP197(nat) | (~spl2737_625 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67346])).
% 59.37/10.01  tff(f77476,plain,(
% 59.37/10.01    spl2737_2301),
% 59.37/10.01    inference(avatar_split_clause,[],[f36325,f77474])).
% 59.37/10.01  tff(f36325,plain,(
% 59.37/10.01    ( ! [X0 : complex] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),arg(X0)),pi))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10485])).
% 59.37/10.01  tff(f77472,plain,(
% 59.37/10.01    spl2737_2300),
% 59.37/10.01    inference(avatar_split_clause,[],[f35908,f77470])).
% 59.37/10.01  tff(f77470,plain,(
% 59.37/10.01    spl2737_2300 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_wh(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2300])])).
% 59.37/10.01  tff(f35908,plain,(
% 59.37/10.01    ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_wh(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10072])).
% 59.37/10.01  tff(f10072,plain,(
% 59.37/10.01    ! [X0 : real] : filterlim(nat,real,aTP_Lamp_wh(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 59.37/10.01    inference(rectify,[],[f5971])).
% 59.37/10.01  tff(f5971,axiom,(
% 59.37/10.01    ! [X116 : real] : filterlim(nat,real,aTP_Lamp_wh(real,fun(nat,real),X116),topolo7230453075368039082e_nhds(real,X116),at_top(nat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5970_LIMSEQ__inverse__real__of__nat__add__minus__mult)).
% 59.37/10.01  tff(f77468,plain,(
% 59.37/10.01    spl2737_2299),
% 59.37/10.01    inference(avatar_split_clause,[],[f35907,f77466])).
% 59.37/10.01  tff(f77466,plain,(
% 59.37/10.01    spl2737_2299 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_wd(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2299])])).
% 59.37/10.01  tff(f35907,plain,(
% 59.37/10.01    ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_wd(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10071])).
% 59.37/10.01  tff(f10071,plain,(
% 59.37/10.01    ! [X0 : real] : filterlim(nat,real,aTP_Lamp_wd(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 59.37/10.01    inference(rectify,[],[f5961])).
% 59.37/10.01  tff(f5961,axiom,(
% 59.37/10.01    ! [X116 : real] : filterlim(nat,real,aTP_Lamp_wd(real,fun(nat,real),X116),topolo7230453075368039082e_nhds(real,X116),at_top(nat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5960_LIMSEQ__inverse__real__of__nat__add__minus)).
% 59.37/10.01  tff(f77464,plain,(
% 59.37/10.01    spl2737_2298),
% 59.37/10.01    inference(avatar_split_clause,[],[f35906,f77462])).
% 59.37/10.01  tff(f77462,plain,(
% 59.37/10.01    spl2737_2298 <=> ! [X0 : real] : filterlim(nat,real,aTP_Lamp_vu(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2298])])).
% 59.37/10.01  tff(f35906,plain,(
% 59.37/10.01    ( ! [X0 : real] : (filterlim(nat,real,aTP_Lamp_vu(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10070])).
% 59.37/10.01  tff(f10070,plain,(
% 59.37/10.01    ! [X0 : real] : filterlim(nat,real,aTP_Lamp_vu(real,fun(nat,real),X0),topolo7230453075368039082e_nhds(real,X0),at_top(nat))),
% 59.37/10.01    inference(rectify,[],[f5946])).
% 59.37/10.01  tff(f5946,axiom,(
% 59.37/10.01    ! [X116 : real] : filterlim(nat,real,aTP_Lamp_vu(real,fun(nat,real),X116),topolo7230453075368039082e_nhds(real,X116),at_top(nat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5945_LIMSEQ__inverse__real__of__nat__add)).
% 59.37/10.01  tff(f77460,plain,(
% 59.37/10.01    spl2737_2297),
% 59.37/10.01    inference(avatar_split_clause,[],[f35905,f77458])).
% 59.37/10.01  tff(f77458,plain,(
% 59.37/10.01    spl2737_2297 <=> ! [X0 : real] : sums(real,aTP_Lamp_di(real,fun(nat,real),X0),aa(real,real,cos(real),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2297])])).
% 59.37/10.01  tff(f35905,plain,(
% 59.37/10.01    ( ! [X0 : real] : (sums(real,aTP_Lamp_di(real,fun(nat,real),X0),aa(real,real,cos(real),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10069])).
% 59.37/10.01  tff(f10069,plain,(
% 59.37/10.01    ! [X0 : real] : sums(real,aTP_Lamp_di(real,fun(nat,real),X0),aa(real,real,cos(real),X0))),
% 59.37/10.01    inference(rectify,[],[f3793])).
% 59.37/10.01  tff(f3793,axiom,(
% 59.37/10.01    ! [X14 : real] : sums(real,aTP_Lamp_di(real,fun(nat,real),X14),aa(real,real,cos(real),X14))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3792_cos__paired)).
% 59.37/10.01  tff(f77456,plain,(
% 59.37/10.01    spl2737_2296),
% 59.37/10.01    inference(avatar_split_clause,[],[f35899,f77454])).
% 59.37/10.01  tff(f77454,plain,(
% 59.37/10.01    spl2737_2296 <=> ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),X0) = X0),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2296])])).
% 59.37/10.01  tff(f35899,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),X0) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10063])).
% 59.37/10.01  tff(f10063,plain,(
% 59.37/10.01    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X0),X0) = X0),
% 59.37/10.01    inference(rectify,[],[f6712])).
% 59.37/10.01  tff(f6712,axiom,(
% 59.37/10.01    ! [X14 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),gcd_gcd(nat),X14),X14) = X14),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6711_gcd__idem__nat)).
% 59.37/10.01  tff(f77452,plain,(
% 59.37/10.01    spl2737_2295),
% 59.37/10.01    inference(avatar_split_clause,[],[f35898,f77450])).
% 59.37/10.01  tff(f77450,plain,(
% 59.37/10.01    spl2737_2295 <=> ! [X0 : list(nat)] : aa(nat,list(nat),nat_list_decode,aa(list(nat),nat,nat_list_encode,X0)) = X0),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2295])])).
% 59.37/10.01  tff(f35898,plain,(
% 59.37/10.01    ( ! [X0 : list(nat)] : (aa(nat,list(nat),nat_list_decode,aa(list(nat),nat,nat_list_encode,X0)) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10062])).
% 59.37/10.01  tff(f10062,plain,(
% 59.37/10.01    ! [X0 : list(nat)] : aa(nat,list(nat),nat_list_decode,aa(list(nat),nat,nat_list_encode,X0)) = X0),
% 59.37/10.01    inference(rectify,[],[f7127])).
% 59.37/10.01  tff(f7127,axiom,(
% 59.37/10.01    ! [X14 : list(nat)] : aa(nat,list(nat),nat_list_decode,aa(list(nat),nat,nat_list_encode,X14)) = X14),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7126_list__encode__inverse)).
% 59.37/10.01  tff(f77448,plain,(
% 59.37/10.01    spl2737_2294),
% 59.37/10.01    inference(avatar_split_clause,[],[f35897,f77446])).
% 59.37/10.01  tff(f77446,plain,(
% 59.37/10.01    spl2737_2294 <=> ! [X0 : nat] : extended_enat2(aa(nat,nat,suc,X0)) = aa(nat,extended_enat,aTP_Lamp_aee(nat,extended_enat),X0)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2294])])).
% 59.37/10.01  tff(f35897,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (extended_enat2(aa(nat,nat,suc,X0)) = aa(nat,extended_enat,aTP_Lamp_aee(nat,extended_enat),X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10061])).
% 59.37/10.01  tff(f10061,plain,(
% 59.37/10.01    ! [X0 : nat] : extended_enat2(aa(nat,nat,suc,X0)) = aa(nat,extended_enat,aTP_Lamp_aee(nat,extended_enat),X0)),
% 59.37/10.01    inference(rectify,[],[f8159])).
% 59.37/10.01  tff(f8159,axiom,(
% 59.37/10.01    ! [X94 : nat] : aa(nat,extended_enat,aTP_Lamp_aee(nat,extended_enat),X94) = extended_enat2(aa(nat,nat,suc,X94))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8158_ATP_Olambda__43)).
% 59.37/10.01  tff(f77444,plain,(
% 59.37/10.01    spl2737_2293),
% 59.37/10.01    inference(avatar_split_clause,[],[f35894,f77442])).
% 59.37/10.01  tff(f77442,plain,(
% 59.37/10.01    spl2737_2293 <=> ! [X0 : int] : aa(int,real,ring_1_of_int(real),X0) = re(aa(int,complex,ring_1_of_int(complex),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2293])])).
% 59.37/10.01  tff(f35894,plain,(
% 59.37/10.01    ( ! [X0 : int] : (aa(int,real,ring_1_of_int(real),X0) = re(aa(int,complex,ring_1_of_int(complex),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10058])).
% 59.37/10.01  tff(f10058,plain,(
% 59.37/10.01    ! [X0 : int] : aa(int,real,ring_1_of_int(real),X0) = re(aa(int,complex,ring_1_of_int(complex),X0))),
% 59.37/10.01    inference(rectify,[],[f4730])).
% 59.37/10.01  tff(f4730,axiom,(
% 59.37/10.01    ! [X60 : int] : aa(int,real,ring_1_of_int(real),X60) = re(aa(int,complex,ring_1_of_int(complex),X60))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4729_complex__Re__of__int)).
% 59.37/10.01  tff(f77440,plain,(
% 59.37/10.01    spl2737_2292),
% 59.37/10.01    inference(avatar_split_clause,[],[f35892,f77438])).
% 59.37/10.01  tff(f77438,plain,(
% 59.37/10.01    spl2737_2292 <=> ! [X0 : real] : aa(real,real,arcsin,X0) = the(real,aTP_Lamp_ho(real,fun(real,bool),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2292])])).
% 59.37/10.01  tff(f35892,plain,(
% 59.37/10.01    ( ! [X0 : real] : (aa(real,real,arcsin,X0) = the(real,aTP_Lamp_ho(real,fun(real,bool),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10056])).
% 59.37/10.01  tff(f10056,plain,(
% 59.37/10.01    ! [X0 : real] : aa(real,real,arcsin,X0) = the(real,aTP_Lamp_ho(real,fun(real,bool),X0))),
% 59.37/10.01    inference(rectify,[],[f4052])).
% 59.37/10.01  tff(f4052,axiom,(
% 59.37/10.01    ! [X15 : real] : aa(real,real,arcsin,X15) = the(real,aTP_Lamp_ho(real,fun(real,bool),X15))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4051_arcsin__def)).
% 59.37/10.01  tff(f77436,plain,(
% 59.37/10.01    spl2737_2291 | ~spl2737_622 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69250,f68881,f67329,f77433])).
% 59.37/10.01  tff(f77433,plain,(
% 59.37/10.01    spl2737_2291 <=> sP197(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2291])])).
% 59.37/10.01  tff(f69250,plain,(
% 59.37/10.01    sP197(rat) | (~spl2737_622 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67331])).
% 59.37/10.01  tff(f77431,plain,(
% 59.37/10.01    spl2737_2290),
% 59.37/10.01    inference(avatar_split_clause,[],[f35891,f77429])).
% 59.37/10.01  tff(f77429,plain,(
% 59.37/10.01    spl2737_2290 <=> ! [X0 : real] : aa(real,real,arctan,X0) = the(real,aTP_Lamp_hn(real,fun(real,bool),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2290])])).
% 59.37/10.01  tff(f35891,plain,(
% 59.37/10.01    ( ! [X0 : real] : (aa(real,real,arctan,X0) = the(real,aTP_Lamp_hn(real,fun(real,bool),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10055])).
% 59.37/10.01  tff(f10055,plain,(
% 59.37/10.01    ! [X0 : real] : aa(real,real,arctan,X0) = the(real,aTP_Lamp_hn(real,fun(real,bool),X0))),
% 59.37/10.01    inference(rectify,[],[f4051])).
% 59.37/10.01  tff(f4051,axiom,(
% 59.37/10.01    ! [X15 : real] : aa(real,real,arctan,X15) = the(real,aTP_Lamp_hn(real,fun(real,bool),X15))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4050_arctan__def)).
% 59.37/10.01  tff(f77427,plain,(
% 59.37/10.01    spl2737_2289),
% 59.37/10.01    inference(avatar_split_clause,[],[f35890,f77425])).
% 59.37/10.01  tff(f77425,plain,(
% 59.37/10.01    spl2737_2289 <=> ! [X0 : nat] : set_or1337092689740270186AtMost(nat,one_one(nat),X0) = image(nat,nat,suc,set_ord_lessThan(nat,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2289])])).
% 59.37/10.01  tff(f77423,plain,(
% 59.37/10.01    spl2737_2288),
% 59.37/10.01    inference(avatar_split_clause,[],[f35889,f77421])).
% 59.37/10.01  tff(f77421,plain,(
% 59.37/10.01    spl2737_2288 <=> ! [X0 : $tType] : bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),nil(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2288])])).
% 59.37/10.01  tff(f35889,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),nil(X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f4984])).
% 59.37/10.01  tff(f4984,axiom,(
% 59.37/10.01    ! [X0 : $tType] : bot_bot(set(X0)) = aa(list(X0),set(X0),set2(X0),nil(X0))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4983_empty__set)).
% 59.37/10.01  tff(f77419,plain,(
% 59.37/10.01    spl2737_2287),
% 59.37/10.01    inference(avatar_split_clause,[],[f35526,f77416])).
% 59.37/10.01  tff(f77416,plain,(
% 59.37/10.01    spl2737_2287 <=> bij_betw(product_prod(nat,nat),nat,nat_prod_encode,top_top(set(product_prod(nat,nat))),top_top(set(nat)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2287])])).
% 59.37/10.01  tff(f35526,plain,(
% 59.37/10.01    bij_betw(product_prod(nat,nat),nat,nat_prod_encode,top_top(set(product_prod(nat,nat))),top_top(set(nat)))),
% 59.37/10.01    inference(cnf_transformation,[],[f5666])).
% 59.37/10.01  tff(f5666,axiom,(
% 59.37/10.01    bij_betw(product_prod(nat,nat),nat,nat_prod_encode,top_top(set(product_prod(nat,nat))),top_top(set(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5665_bij__prod__encode)).
% 59.37/10.01  tff(f77414,plain,(
% 59.37/10.01    spl2737_2286),
% 59.37/10.01    inference(avatar_split_clause,[],[f35525,f77411])).
% 59.37/10.01  tff(f77411,plain,(
% 59.37/10.01    spl2737_2286 <=> bij_betw(sum_sum(nat,nat),nat,nat_sum_encode,top_top(set(sum_sum(nat,nat))),top_top(set(nat)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2286])])).
% 59.37/10.01  tff(f35525,plain,(
% 59.37/10.01    bij_betw(sum_sum(nat,nat),nat,nat_sum_encode,top_top(set(sum_sum(nat,nat))),top_top(set(nat)))),
% 59.37/10.01    inference(cnf_transformation,[],[f8074])).
% 59.37/10.01  tff(f8074,axiom,(
% 59.37/10.01    bij_betw(sum_sum(nat,nat),nat,nat_sum_encode,top_top(set(sum_sum(nat,nat))),top_top(set(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8073_bij__sum__encode)).
% 59.37/10.01  tff(f77409,plain,(
% 59.37/10.01    spl2737_2285),
% 59.37/10.01    inference(avatar_split_clause,[],[f35524,f77406])).
% 59.37/10.01  tff(f77406,plain,(
% 59.37/10.01    spl2737_2285 <=> bij_betw(nat,product_prod(nat,nat),nat_prod_decode,top_top(set(nat)),top_top(set(product_prod(nat,nat))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2285])])).
% 59.37/10.01  tff(f35524,plain,(
% 59.37/10.01    bij_betw(nat,product_prod(nat,nat),nat_prod_decode,top_top(set(nat)),top_top(set(product_prod(nat,nat))))),
% 59.37/10.01    inference(cnf_transformation,[],[f7120])).
% 59.37/10.01  tff(f7120,axiom,(
% 59.37/10.01    bij_betw(nat,product_prod(nat,nat),nat_prod_decode,top_top(set(nat)),top_top(set(product_prod(nat,nat))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7119_bij__prod__decode)).
% 59.37/10.01  tff(f77404,plain,(
% 59.37/10.01    spl2737_2284),
% 59.37/10.01    inference(avatar_split_clause,[],[f35523,f77401])).
% 59.37/10.01  tff(f77401,plain,(
% 59.37/10.01    spl2737_2284 <=> bij_betw(nat,sum_sum(nat,nat),nat_sum_decode,top_top(set(nat)),top_top(set(sum_sum(nat,nat))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2284])])).
% 59.37/10.01  tff(f35523,plain,(
% 59.37/10.01    bij_betw(nat,sum_sum(nat,nat),nat_sum_decode,top_top(set(nat)),top_top(set(sum_sum(nat,nat))))),
% 59.37/10.01    inference(cnf_transformation,[],[f8093])).
% 59.37/10.01  tff(f8093,axiom,(
% 59.37/10.01    bij_betw(nat,sum_sum(nat,nat),nat_sum_decode,top_top(set(nat)),top_top(set(sum_sum(nat,nat))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8092_bij__sum__decode)).
% 59.37/10.01  tff(f77395,plain,(
% 59.37/10.01    spl2737_2283 | ~spl2737_2282),
% 59.37/10.01    inference(avatar_split_clause,[],[f77390,f77386,f77392])).
% 59.37/10.01  tff(f77386,plain,(
% 59.37/10.01    spl2737_2282 <=> pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,zero_zero(int)),zero_zero(code_integer)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2282])])).
% 59.37/10.01  tff(f77390,plain,(
% 59.37/10.01    pp(aa(int,bool,combc(int,code_integer,bool,code_pcr_integer,zero_zero(code_integer)),zero_zero(int))) | ~spl2737_2282),
% 59.37/10.01    inference(forward_demodulation,[],[f77388,f50171])).
% 59.37/10.01  tff(f77388,plain,(
% 59.37/10.01    pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,zero_zero(int)),zero_zero(code_integer))) | ~spl2737_2282),
% 59.37/10.01    inference(avatar_component_clause,[],[f77386])).
% 59.37/10.01  tff(f77389,plain,(
% 59.37/10.01    spl2737_2282),
% 59.37/10.01    inference(avatar_split_clause,[],[f35522,f77386])).
% 59.37/10.01  tff(f35522,plain,(
% 59.37/10.01    pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,zero_zero(int)),zero_zero(code_integer)))),
% 59.37/10.01    inference(cnf_transformation,[],[f7162])).
% 59.37/10.01  tff(f7162,axiom,(
% 59.37/10.01    pp(aa(code_integer,bool,aa(int,fun(code_integer,bool),code_pcr_integer,zero_zero(int)),zero_zero(code_integer)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7161_zero__integer_Otransfer)).
% 59.37/10.01  tff(f77384,plain,(
% 59.37/10.01    spl2737_2281 | ~spl2737_623 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69249,f68881,f67334,f77381])).
% 59.37/10.01  tff(f77381,plain,(
% 59.37/10.01    spl2737_2281 <=> sP197(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2281])])).
% 59.37/10.01  tff(f69249,plain,(
% 59.37/10.01    sP197(real) | (~spl2737_623 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67336])).
% 59.37/10.01  tff(f77374,plain,(
% 59.37/10.01    spl2737_2280 | ~spl2737_2279),
% 59.37/10.01    inference(avatar_split_clause,[],[f77369,f77365,f77371])).
% 59.37/10.01  tff(f77365,plain,(
% 59.37/10.01    spl2737_2279 <=> pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,one_one(nat)),one_one(code_natural)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2279])])).
% 59.37/10.01  tff(f77369,plain,(
% 59.37/10.01    pp(aa(nat,bool,combc(nat,code_natural,bool,code_pcr_natural,one_one(code_natural)),one_one(nat))) | ~spl2737_2279),
% 59.37/10.01    inference(forward_demodulation,[],[f77367,f50171])).
% 59.37/10.01  tff(f77367,plain,(
% 59.37/10.01    pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,one_one(nat)),one_one(code_natural))) | ~spl2737_2279),
% 59.37/10.01    inference(avatar_component_clause,[],[f77365])).
% 59.37/10.01  tff(f77368,plain,(
% 59.37/10.01    spl2737_2279),
% 59.37/10.01    inference(avatar_split_clause,[],[f35519,f77365])).
% 59.37/10.01  tff(f35519,plain,(
% 59.37/10.01    pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,one_one(nat)),one_one(code_natural)))),
% 59.37/10.01    inference(cnf_transformation,[],[f7955])).
% 59.37/10.01  tff(f7955,axiom,(
% 59.37/10.01    pp(aa(code_natural,bool,aa(nat,fun(code_natural,bool),code_pcr_natural,one_one(nat)),one_one(code_natural)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7954_one__natural_Otransfer)).
% 59.37/10.01  tff(f77363,plain,(
% 59.37/10.01    spl2737_2278),
% 59.37/10.01    inference(avatar_split_clause,[],[f35516,f77360])).
% 59.37/10.01  tff(f77360,plain,(
% 59.37/10.01    spl2737_2278 <=> top_top(set(nat)) = image(list(nat),nat,nat_list_encode,top_top(set(list(nat))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2278])])).
% 59.37/10.01  tff(f35516,plain,(
% 59.37/10.01    top_top(set(nat)) = image(list(nat),nat,nat_list_encode,top_top(set(list(nat))))),
% 59.37/10.01    inference(cnf_transformation,[],[f5664])).
% 59.37/10.01  tff(f5664,axiom,(
% 59.37/10.01    top_top(set(nat)) = image(list(nat),nat,nat_list_encode,top_top(set(list(nat))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5663_surj__list__encode)).
% 59.37/10.01  tff(f77358,plain,(
% 59.37/10.01    spl2737_2277),
% 59.37/10.01    inference(avatar_split_clause,[],[f35515,f77355])).
% 59.37/10.01  tff(f77355,plain,(
% 59.37/10.01    spl2737_2277 <=> deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2277])])).
% 59.37/10.01  tff(f35515,plain,(
% 59.37/10.01    deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 59.37/10.01    inference(cnf_transformation,[],[f79])).
% 59.37/10.01  tff(f79,axiom,(
% 59.37/10.01    deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78__C3_Ohyps_C_I4_J)).
% 59.37/10.01  tff(f77352,plain,(
% 59.37/10.01    spl2737_2276 | ~spl2737_619 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69248,f68881,f67314,f77349])).
% 59.37/10.01  tff(f77349,plain,(
% 59.37/10.01    spl2737_2276 <=> sP197(complex)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2276])])).
% 59.37/10.01  tff(f69248,plain,(
% 59.37/10.01    sP197(complex) | (~spl2737_619 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67316])).
% 59.37/10.01  tff(f77301,plain,(
% 59.37/10.01    spl2737_2275 | ~spl2737_618 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69247,f68881,f67309,f77298])).
% 59.37/10.01  tff(f77298,plain,(
% 59.37/10.01    spl2737_2275 <=> sP197(extended_enat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2275])])).
% 59.37/10.01  tff(f69247,plain,(
% 59.37/10.01    sP197(extended_enat) | (~spl2737_618 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67311])).
% 59.37/10.01  tff(f77286,plain,(
% 59.37/10.01    spl2737_2274 | ~spl2737_1536 | ~spl2737_1902 | ~spl2737_2238),
% 59.37/10.01    inference(avatar_split_clause,[],[f76426,f76422,f74532,f71871,f77283])).
% 59.37/10.01  tff(f77283,plain,(
% 59.37/10.01    spl2737_2274 <=> image(nat,nat,suc,top_top(set(nat))) = set_ord_atLeast(nat,one_one(nat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2274])])).
% 59.37/10.01  tff(f71871,plain,(
% 59.37/10.01    spl2737_1536 <=> one_one(nat) = aa(nat,nat,suc,size_num(one2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1536])])).
% 59.37/10.01  tff(f74532,plain,(
% 59.37/10.01    spl2737_1902 <=> ! [X0 : nat] : set_ord_greaterThan(nat,X0) = set_ord_atLeast(nat,aa(nat,nat,suc,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1902])])).
% 59.37/10.01  tff(f76422,plain,(
% 59.37/10.01    spl2737_2238 <=> image(nat,nat,suc,top_top(set(nat))) = set_ord_greaterThan(nat,size_num(one2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2238])])).
% 59.37/10.01  tff(f76426,plain,(
% 59.37/10.01    image(nat,nat,suc,top_top(set(nat))) = set_ord_atLeast(nat,one_one(nat)) | (~spl2737_1536 | ~spl2737_1902 | ~spl2737_2238)),
% 59.37/10.01    inference(forward_demodulation,[],[f76424,f75193])).
% 59.37/10.01  tff(f75193,plain,(
% 59.37/10.01    set_ord_greaterThan(nat,size_num(one2)) = set_ord_atLeast(nat,one_one(nat)) | (~spl2737_1536 | ~spl2737_1902)),
% 59.37/10.01    inference(superposition,[],[f74533,f71873])).
% 59.37/10.01  tff(f71873,plain,(
% 59.37/10.01    one_one(nat) = aa(nat,nat,suc,size_num(one2)) | ~spl2737_1536),
% 59.37/10.01    inference(avatar_component_clause,[],[f71871])).
% 59.37/10.01  tff(f74533,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (set_ord_greaterThan(nat,X0) = set_ord_atLeast(nat,aa(nat,nat,suc,X0))) ) | ~spl2737_1902),
% 59.37/10.01    inference(avatar_component_clause,[],[f74532])).
% 59.37/10.01  tff(f76424,plain,(
% 59.37/10.01    image(nat,nat,suc,top_top(set(nat))) = set_ord_greaterThan(nat,size_num(one2)) | ~spl2737_2238),
% 59.37/10.01    inference(avatar_component_clause,[],[f76422])).
% 59.37/10.01  tff(f77270,plain,(
% 59.37/10.01    spl2737_2273 | ~spl2737_621 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69246,f68881,f67324,f77267])).
% 59.37/10.01  tff(f77267,plain,(
% 59.37/10.01    spl2737_2273 <=> sP197(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2273])])).
% 59.37/10.01  tff(f69246,plain,(
% 59.37/10.01    sP197(code_integer) | (~spl2737_621 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67326])).
% 59.37/10.01  tff(f77233,plain,(
% 59.37/10.01    spl2737_2272 | ~spl2737_620 | ~spl2737_956),
% 59.37/10.01    inference(avatar_split_clause,[],[f69245,f68881,f67319,f77230])).
% 59.37/10.01  tff(f77230,plain,(
% 59.37/10.01    spl2737_2272 <=> sP197(code_natural)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2272])])).
% 59.37/10.01  tff(f69245,plain,(
% 59.37/10.01    sP197(code_natural) | (~spl2737_620 | ~spl2737_956)),
% 59.37/10.01    inference(resolution,[],[f68882,f67321])).
% 59.37/10.01  tff(f77180,plain,(
% 59.37/10.01    spl2737_2271 | ~spl2737_292 | ~spl2737_955),
% 59.37/10.01    inference(avatar_split_clause,[],[f69244,f68877,f65679,f77177])).
% 59.37/10.01  tff(f77177,plain,(
% 59.37/10.01    spl2737_2271 <=> sP193(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2271])])).
% 59.37/10.01  tff(f68877,plain,(
% 59.37/10.01    spl2737_955 <=> ! [X0 : $tType] : (sP193(X0) | ~neg_numeral(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_955])])).
% 59.37/10.01  tff(f69244,plain,(
% 59.37/10.01    sP193(int) | (~spl2737_292 | ~spl2737_955)),
% 59.37/10.01    inference(resolution,[],[f68878,f65681])).
% 59.37/10.01  tff(f68878,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~neg_numeral(X0) | sP193(X0)) ) | ~spl2737_955),
% 59.37/10.01    inference(avatar_component_clause,[],[f68877])).
% 59.37/10.01  tff(f77095,plain,(
% 59.37/10.01    spl2737_2270 | ~spl2737_290 | ~spl2737_955),
% 59.37/10.01    inference(avatar_split_clause,[],[f69243,f68877,f65669,f77092])).
% 59.37/10.01  tff(f77092,plain,(
% 59.37/10.01    spl2737_2270 <=> sP193(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2270])])).
% 59.37/10.01  tff(f65669,plain,(
% 59.37/10.01    spl2737_290 <=> neg_numeral(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_290])])).
% 59.37/10.01  tff(f69243,plain,(
% 59.37/10.01    sP193(rat) | (~spl2737_290 | ~spl2737_955)),
% 59.37/10.01    inference(resolution,[],[f68878,f65671])).
% 59.37/10.01  tff(f65671,plain,(
% 59.37/10.01    neg_numeral(rat) | ~spl2737_290),
% 59.37/10.01    inference(avatar_component_clause,[],[f65669])).
% 59.37/10.01  tff(f77003,plain,(
% 59.37/10.01    spl2737_2269 | ~spl2737_291 | ~spl2737_955),
% 59.37/10.01    inference(avatar_split_clause,[],[f69242,f68877,f65674,f77000])).
% 59.37/10.01  tff(f77000,plain,(
% 59.37/10.01    spl2737_2269 <=> sP193(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2269])])).
% 59.37/10.01  tff(f69242,plain,(
% 59.37/10.01    sP193(real) | (~spl2737_291 | ~spl2737_955)),
% 59.37/10.01    inference(resolution,[],[f68878,f65676])).
% 59.37/10.01  tff(f76937,plain,(
% 59.37/10.01    spl2737_2268 | ~spl2737_288 | ~spl2737_955),
% 59.37/10.01    inference(avatar_split_clause,[],[f69241,f68877,f65659,f76934])).
% 59.37/10.01  tff(f76934,plain,(
% 59.37/10.01    spl2737_2268 <=> sP193(complex)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2268])])).
% 59.37/10.01  tff(f65659,plain,(
% 59.37/10.01    spl2737_288 <=> neg_numeral(complex)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_288])])).
% 59.37/10.01  tff(f69241,plain,(
% 59.37/10.01    sP193(complex) | (~spl2737_288 | ~spl2737_955)),
% 59.37/10.01    inference(resolution,[],[f68878,f65661])).
% 59.37/10.01  tff(f65661,plain,(
% 59.37/10.01    neg_numeral(complex) | ~spl2737_288),
% 59.37/10.01    inference(avatar_component_clause,[],[f65659])).
% 59.37/10.01  tff(f76893,plain,(
% 59.37/10.01    spl2737_2267 | ~spl2737_289 | ~spl2737_955),
% 59.37/10.01    inference(avatar_split_clause,[],[f69240,f68877,f65664,f76890])).
% 59.37/10.01  tff(f76890,plain,(
% 59.37/10.01    spl2737_2267 <=> sP193(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2267])])).
% 59.37/10.01  tff(f65664,plain,(
% 59.37/10.01    spl2737_289 <=> neg_numeral(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_289])])).
% 59.37/10.01  tff(f69240,plain,(
% 59.37/10.01    sP193(code_integer) | (~spl2737_289 | ~spl2737_955)),
% 59.37/10.01    inference(resolution,[],[f68878,f65666])).
% 59.37/10.01  tff(f65666,plain,(
% 59.37/10.01    neg_numeral(code_integer) | ~spl2737_289),
% 59.37/10.01    inference(avatar_component_clause,[],[f65664])).
% 59.37/10.01  tff(f76859,plain,(
% 59.37/10.01    spl2737_2266 | ~spl2737_229 | ~spl2737_954),
% 59.37/10.01    inference(avatar_split_clause,[],[f69239,f68873,f65364,f76856])).
% 59.37/10.01  tff(f76856,plain,(
% 59.37/10.01    spl2737_2266 <=> sP186(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2266])])).
% 59.37/10.01  tff(f65364,plain,(
% 59.37/10.01    spl2737_229 <=> linordered_idom(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_229])])).
% 59.37/10.01  tff(f68873,plain,(
% 59.37/10.01    spl2737_954 <=> ! [X0 : $tType] : (sP186(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_954])])).
% 59.37/10.01  tff(f69239,plain,(
% 59.37/10.01    sP186(int) | (~spl2737_229 | ~spl2737_954)),
% 59.37/10.01    inference(resolution,[],[f68874,f65366])).
% 59.37/10.01  tff(f65366,plain,(
% 59.37/10.01    linordered_idom(int) | ~spl2737_229),
% 59.37/10.01    inference(avatar_component_clause,[],[f65364])).
% 59.37/10.01  tff(f68874,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP186(X0)) ) | ~spl2737_954),
% 59.37/10.01    inference(avatar_component_clause,[],[f68873])).
% 59.37/10.01  tff(f76809,plain,(
% 59.37/10.01    spl2737_2265 | ~spl2737_227 | ~spl2737_954),
% 59.37/10.01    inference(avatar_split_clause,[],[f69238,f68873,f65354,f76806])).
% 59.37/10.01  tff(f76806,plain,(
% 59.37/10.01    spl2737_2265 <=> sP186(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2265])])).
% 59.37/10.01  tff(f65354,plain,(
% 59.37/10.01    spl2737_227 <=> linordered_idom(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_227])])).
% 59.37/10.01  tff(f69238,plain,(
% 59.37/10.01    sP186(rat) | (~spl2737_227 | ~spl2737_954)),
% 59.37/10.01    inference(resolution,[],[f68874,f65356])).
% 59.37/10.01  tff(f65356,plain,(
% 59.37/10.01    linordered_idom(rat) | ~spl2737_227),
% 59.37/10.01    inference(avatar_component_clause,[],[f65354])).
% 59.37/10.01  tff(f76704,plain,(
% 59.37/10.01    spl2737_2264 | ~spl2737_228 | ~spl2737_954),
% 59.37/10.01    inference(avatar_split_clause,[],[f69237,f68873,f65359,f76701])).
% 59.37/10.01  tff(f76701,plain,(
% 59.37/10.01    spl2737_2264 <=> sP186(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2264])])).
% 59.37/10.01  tff(f65359,plain,(
% 59.37/10.01    spl2737_228 <=> linordered_idom(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_228])])).
% 59.37/10.01  tff(f69237,plain,(
% 59.37/10.01    sP186(real) | (~spl2737_228 | ~spl2737_954)),
% 59.37/10.01    inference(resolution,[],[f68874,f65361])).
% 59.37/10.01  tff(f65361,plain,(
% 59.37/10.01    linordered_idom(real) | ~spl2737_228),
% 59.37/10.01    inference(avatar_component_clause,[],[f65359])).
% 59.37/10.01  tff(f76623,plain,(
% 59.37/10.01    spl2737_2263 | ~spl2737_226 | ~spl2737_954),
% 59.37/10.01    inference(avatar_split_clause,[],[f69236,f68873,f65349,f76620])).
% 59.37/10.01  tff(f76620,plain,(
% 59.37/10.01    spl2737_2263 <=> sP186(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2263])])).
% 59.37/10.01  tff(f65349,plain,(
% 59.37/10.01    spl2737_226 <=> linordered_idom(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_226])])).
% 59.37/10.01  tff(f69236,plain,(
% 59.37/10.01    sP186(code_integer) | (~spl2737_226 | ~spl2737_954)),
% 59.37/10.01    inference(resolution,[],[f68874,f65351])).
% 59.37/10.01  tff(f65351,plain,(
% 59.37/10.01    linordered_idom(code_integer) | ~spl2737_226),
% 59.37/10.01    inference(avatar_component_clause,[],[f65349])).
% 59.37/10.01  tff(f76591,plain,(
% 59.37/10.01    spl2737_2262 | ~spl2737_229 | ~spl2737_953),
% 59.37/10.01    inference(avatar_split_clause,[],[f69235,f68869,f65364,f76588])).
% 59.37/10.01  tff(f76588,plain,(
% 59.37/10.01    spl2737_2262 <=> sP183(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2262])])).
% 59.37/10.01  tff(f68869,plain,(
% 59.37/10.01    spl2737_953 <=> ! [X0 : $tType] : (sP183(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_953])])).
% 59.37/10.01  tff(f69235,plain,(
% 59.37/10.01    sP183(int) | (~spl2737_229 | ~spl2737_953)),
% 59.37/10.01    inference(resolution,[],[f68870,f65366])).
% 59.37/10.01  tff(f68870,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP183(X0)) ) | ~spl2737_953),
% 59.37/10.01    inference(avatar_component_clause,[],[f68869])).
% 59.37/10.01  tff(f76561,plain,(
% 59.37/10.01    spl2737_2261 | ~spl2737_227 | ~spl2737_953),
% 59.37/10.01    inference(avatar_split_clause,[],[f69234,f68869,f65354,f76558])).
% 59.37/10.01  tff(f76558,plain,(
% 59.37/10.01    spl2737_2261 <=> sP183(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2261])])).
% 59.37/10.01  tff(f69234,plain,(
% 59.37/10.01    sP183(rat) | (~spl2737_227 | ~spl2737_953)),
% 59.37/10.01    inference(resolution,[],[f68870,f65356])).
% 59.37/10.01  tff(f76524,plain,(
% 59.37/10.01    spl2737_2260 | ~spl2737_228 | ~spl2737_953),
% 59.37/10.01    inference(avatar_split_clause,[],[f69233,f68869,f65359,f76521])).
% 59.37/10.01  tff(f76521,plain,(
% 59.37/10.01    spl2737_2260 <=> sP183(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2260])])).
% 59.37/10.01  tff(f69233,plain,(
% 59.37/10.01    sP183(real) | (~spl2737_228 | ~spl2737_953)),
% 59.37/10.01    inference(resolution,[],[f68870,f65361])).
% 59.37/10.01  tff(f76518,plain,(
% 59.37/10.01    spl2737_2259),
% 59.37/10.01    inference(avatar_split_clause,[],[f64194,f76516])).
% 59.37/10.01  tff(f76516,plain,(
% 59.37/10.01    spl2737_2259 <=> ! [X5 : bool,X4 : bool,X2 : bool,X7 : bool,X0 : bool,X6 : bool,X3 : bool,X1 : bool] : size_num(one2) = size_char(char2(X0,X1,X2,X3,X4,X5,X6,X7))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2259])])).
% 59.37/10.01  tff(f64194,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool,X6 : bool,X7 : bool,X4 : bool,X5 : bool] : (size_num(one2) = size_char(char2(X0,X1,X2,X3,X4,X5,X6,X7))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f50472,f35397])).
% 59.37/10.01  tff(f50472,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool,X6 : bool,X7 : bool,X4 : bool,X5 : bool] : (zero_zero(nat) = size_char(char2(X0,X1,X2,X3,X4,X5,X6,X7))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18334])).
% 59.37/10.01  tff(f18334,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : bool,X2 : bool,X3 : bool,X4 : bool,X5 : bool,X6 : bool,X7 : bool] : zero_zero(nat) = size_char(char2(X0,X1,X2,X3,X4,X5,X6,X7))),
% 59.37/10.01    inference(rectify,[],[f7269])).
% 59.37/10.01  tff(f7269,axiom,(
% 59.37/10.01    ! [X333 : bool,X10 : bool,X165 : bool,X334 : bool,X335 : bool,X336 : bool,X337 : bool,X338 : bool] : zero_zero(nat) = size_char(char2(X333,X10,X165,X334,X335,X336,X337,X338))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7268_char_Osize__gen)).
% 59.37/10.01  tff(f76514,plain,(
% 59.37/10.01    spl2737_2258),
% 59.37/10.01    inference(avatar_split_clause,[],[f63383,f76512])).
% 59.37/10.01  tff(f76512,plain,(
% 59.37/10.01    spl2737_2258 <=> ! [X2 : $tType,X4 : X2,X3 : fun(X2,bool),X1 : fun(nat,X2)] : (~sP542(X2,size_num(one2),X1,X3,X4) | pp(aa(X2,bool,X3,X4)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2258])])).
% 59.37/10.01  tff(f63383,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : fun(X2,bool),X1 : fun(nat,X2),X4 : X2] : (~sP542(X2,size_num(one2),X1,X3,X4) | pp(aa(X2,bool,X3,X4))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f53879,f35397])).
% 59.37/10.01  tff(f53879,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : fun(X2,bool),X1 : fun(nat,X2),X4 : X2] : (pp(aa(X2,bool,X3,X4)) | ~sP542(X2,zero_zero(nat),X1,X3,X4)) )),
% 59.37/10.01    inference(equality_resolution,[],[f50052])).
% 59.37/10.01  tff(f50052,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : fun(X2,bool),X0 : nat,X1 : fun(nat,X2),X4 : X2] : (pp(aa(X2,bool,X3,X4)) | zero_zero(nat) != X0 | ~sP542(X2,X0,X1,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34312])).
% 59.37/10.01  tff(f34312,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : fun(nat,X2),X2 : $tType,X3 : fun(X2,bool),X4 : X2] : ((sP542(X2,X0,X1,X3,X4) | (~pp(aa(X2,bool,X3,aa(nat,X2,X1,pred(X0)))) & aa(nat,nat,suc,pred(X0)) = X0) | (~pp(aa(X2,bool,X3,X4)) & zero_zero(nat) = X0)) & (((pp(aa(X2,bool,X3,aa(nat,X2,X1,pred(X0)))) | aa(nat,nat,suc,pred(X0)) != X0) & (pp(aa(X2,bool,X3,X4)) | zero_zero(nat) != X0)) | ~sP542(X2,X0,X1,X3,X4)))),
% 59.37/10.01    inference(rectify,[],[f34311])).
% 59.37/10.01  tff(f34311,plain,(
% 59.37/10.01    ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,bool),X2 : X0] : ((sP542(X0,X4,X3,X1,X2) | (~pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (~pp(aa(X0,bool,X1,X2)) & zero_zero(nat) = X4)) & (((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)) | ~sP542(X0,X4,X3,X1,X2)))),
% 59.37/10.01    inference(flattening,[],[f34310])).
% 59.37/10.01  tff(f34310,plain,(
% 59.37/10.01    ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,bool),X2 : X0] : ((sP542(X0,X4,X3,X1,X2) | ((~pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (~pp(aa(X0,bool,X1,X2)) & zero_zero(nat) = X4))) & (((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)) | ~sP542(X0,X4,X3,X1,X2)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27907])).
% 59.37/10.01  tff(f76510,plain,(
% 59.37/10.01    spl2737_2257),
% 59.37/10.01    inference(avatar_split_clause,[],[f63374,f76508])).
% 59.37/10.01  tff(f76508,plain,(
% 59.37/10.01    spl2737_2257 <=> ! [X2 : $tType,X4 : X2,X3 : fun(X2,bool),X1 : fun(nat,X2)] : (~sP541(X2,size_num(one2),X1,X3,X4) | pp(aa(X2,bool,X3,X4)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2257])])).
% 59.37/10.01  tff(f63374,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : fun(X2,bool),X1 : fun(nat,X2),X4 : X2] : (~sP541(X2,size_num(one2),X1,X3,X4) | pp(aa(X2,bool,X3,X4))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f53878,f35397])).
% 59.37/10.01  tff(f53878,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : fun(X2,bool),X1 : fun(nat,X2),X4 : X2] : (pp(aa(X2,bool,X3,X4)) | ~sP541(X2,zero_zero(nat),X1,X3,X4)) )),
% 59.37/10.01    inference(equality_resolution,[],[f50044])).
% 59.37/10.01  tff(f50044,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : fun(X2,bool),X0 : nat,X1 : fun(nat,X2),X4 : X2] : (pp(aa(X2,bool,X3,X4)) | zero_zero(nat) != X0 | ~sP541(X2,X0,X1,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34308])).
% 59.37/10.01  tff(f34308,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : fun(nat,X2),X2 : $tType,X3 : fun(X2,bool),X4 : X2] : ((sP541(X2,X0,X1,X3,X4) | (~pp(aa(X2,bool,X3,aa(nat,X2,X1,pred(X0)))) & aa(nat,nat,suc,pred(X0)) = X0) | (~pp(aa(X2,bool,X3,X4)) & zero_zero(nat) = X0)) & (((pp(aa(X2,bool,X3,aa(nat,X2,X1,pred(X0)))) | aa(nat,nat,suc,pred(X0)) != X0) & (pp(aa(X2,bool,X3,X4)) | zero_zero(nat) != X0)) | ~sP541(X2,X0,X1,X3,X4)))),
% 59.37/10.01    inference(rectify,[],[f34307])).
% 59.37/10.01  tff(f34307,plain,(
% 59.37/10.01    ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,bool),X2 : X0] : ((sP541(X0,X4,X3,X1,X2) | (~pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (~pp(aa(X0,bool,X1,X2)) & zero_zero(nat) = X4)) & (((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)) | ~sP541(X0,X4,X3,X1,X2)))),
% 59.37/10.01    inference(flattening,[],[f34306])).
% 59.37/10.01  tff(f34306,plain,(
% 59.37/10.01    ! [X4 : nat,X3 : fun(nat,X0),X0 : $tType,X1 : fun(X0,bool),X2 : X0] : ((sP541(X0,X4,X3,X1,X2) | ((~pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) & aa(nat,nat,suc,pred(X4)) = X4) | (~pp(aa(X0,bool,X1,X2)) & zero_zero(nat) = X4))) & (((pp(aa(X0,bool,X1,aa(nat,X0,X3,pred(X4)))) | aa(nat,nat,suc,pred(X4)) != X4) & (pp(aa(X0,bool,X1,X2)) | zero_zero(nat) != X4)) | ~sP541(X0,X4,X3,X1,X2)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27905])).
% 59.37/10.01  tff(f76503,plain,(
% 59.37/10.01    spl2737_2256 | ~spl2737_2255),
% 59.37/10.01    inference(avatar_split_clause,[],[f76499,f76496,f76501])).
% 59.37/10.01  tff(f76496,plain,(
% 59.37/10.01    spl2737_2255 <=> ! [X0 : $tType,X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2255])])).
% 59.37/10.01  tff(f76499,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (pp(aa(X0,bool,combc(X0,X0,bool,fequal(X0),X2),X2))) ) | ~spl2737_2255),
% 59.37/10.01    inference(forward_demodulation,[],[f76497,f50171])).
% 59.37/10.01  tff(f76497,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X2))) ) | ~spl2737_2255),
% 59.37/10.01    inference(avatar_component_clause,[],[f76496])).
% 59.37/10.01  tff(f76498,plain,(
% 59.37/10.01    spl2737_2255),
% 59.37/10.01    inference(avatar_split_clause,[],[f60865,f76496])).
% 59.37/10.01  tff(f60865,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X2))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f60864,f57729])).
% 59.37/10.01  tff(f57729,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (fequal(X0) = aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),size_num(one2)),X1)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f43872,f35397])).
% 59.37/10.01  tff(f43872,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (fequal(X0) = aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),zero_zero(nat)),X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f15054])).
% 59.37/10.01  tff(f15054,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : fequal(X0) = aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),zero_zero(nat)),X1)),
% 59.37/10.01    inference(rectify,[],[f4679])).
% 59.37/10.01  tff(f4679,axiom,(
% 59.37/10.01    ! [X0 : $tType,X111 : fun(X0,fun(X0,bool))] : fequal(X0) = aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),zero_zero(nat)),X111)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4678_relpowp_Osimps_I1_J)).
% 59.37/10.01  tff(f60864,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),size_num(one2)),X1),X2),X2))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f47180,f35397])).
% 59.37/10.01  tff(f47180,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,bool))] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),zero_zero(nat)),X1),X2),X2))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f16837])).
% 59.37/10.01  tff(f16837,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),zero_zero(nat)),X1),X2),X2))),
% 59.37/10.01    inference(rectify,[],[f4677])).
% 59.37/10.01  tff(f4677,axiom,(
% 59.37/10.01    ! [X0 : $tType,X17 : fun(X0,fun(X0,bool)),X14 : X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),aa(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool)),aa(nat,fun(fun(X0,fun(X0,bool)),fun(X0,fun(X0,bool))),compow(fun(X0,fun(X0,bool))),zero_zero(nat)),X17),X14),X14))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4676_relpowp__0__I)).
% 59.37/10.01  tff(f76494,plain,(
% 59.37/10.01    spl2737_2254),
% 59.37/10.01    inference(avatar_split_clause,[],[f60804,f76492])).
% 59.37/10.01  tff(f76492,plain,(
% 59.37/10.01    spl2737_2254 <=> ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : size_num(one2) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2254])])).
% 59.37/10.01  tff(f60804,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : (size_num(one2) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f47082,f35397])).
% 59.37/10.01  tff(f47082,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X0 : $tType,X2 : product_prod(X0,X1)] : (zero_zero(nat) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f16739])).
% 59.37/10.01  tff(f16739,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : $tType,X2 : product_prod(X0,X1)] : zero_zero(nat) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X2)),
% 59.37/10.01    inference(rectify,[],[f8083])).
% 59.37/10.01  tff(f8083,axiom,(
% 59.37/10.01    ! [X0 : $tType,X1 : $tType,X14 : product_prod(X0,X1)] : zero_zero(nat) != aa(product_prod(X0,X1),nat,size_size(product_prod(X0,X1)),X14)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8082_prod_Osize__neq)).
% 59.37/10.01  tff(f76490,plain,(
% 59.37/10.01    spl2737_2253),
% 59.37/10.01    inference(avatar_split_clause,[],[f60803,f76488])).
% 59.37/10.01  tff(f76488,plain,(
% 59.37/10.01    spl2737_2253 <=> ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : size_num(one2) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2253])])).
% 59.37/10.01  tff(f60803,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : (size_num(one2) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f47081,f35397])).
% 59.37/10.01  tff(f47081,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X0 : $tType,X2 : sum_sum(X0,X1)] : (zero_zero(nat) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f16738])).
% 59.37/10.01  tff(f16738,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : $tType,X2 : sum_sum(X0,X1)] : zero_zero(nat) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X2)),
% 59.37/10.01    inference(rectify,[],[f8084])).
% 59.37/10.01  tff(f8084,axiom,(
% 59.37/10.01    ! [X0 : $tType,X1 : $tType,X14 : sum_sum(X0,X1)] : zero_zero(nat) != aa(sum_sum(X0,X1),nat,size_size(sum_sum(X0,X1)),X14)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8083_sum_Osize__neq)).
% 59.37/10.01  tff(f76486,plain,(
% 59.37/10.01    spl2737_2252 | ~spl2737_226 | ~spl2737_953),
% 59.37/10.01    inference(avatar_split_clause,[],[f69232,f68869,f65349,f76483])).
% 59.37/10.01  tff(f76483,plain,(
% 59.37/10.01    spl2737_2252 <=> sP183(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2252])])).
% 59.37/10.01  tff(f69232,plain,(
% 59.37/10.01    sP183(code_integer) | (~spl2737_226 | ~spl2737_953)),
% 59.37/10.01    inference(resolution,[],[f68870,f65351])).
% 59.37/10.01  tff(f76481,plain,(
% 59.37/10.01    spl2737_2251),
% 59.37/10.01    inference(avatar_split_clause,[],[f60308,f76479])).
% 59.37/10.01  tff(f76479,plain,(
% 59.37/10.01    spl2737_2251 <=> ! [X0 : complex] : aa(complex,complex,uminus_uminus(complex),aa(complex,complex,uminus_uminus(complex),X0)) = X0),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2251])])).
% 59.37/10.01  tff(f60308,plain,(
% 59.37/10.01    ( ! [X0 : complex] : (aa(complex,complex,uminus_uminus(complex),aa(complex,complex,uminus_uminus(complex),X0)) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f53372,f36200])).
% 59.37/10.01  tff(f36200,plain,(
% 59.37/10.01    ( ! [X0 : complex] : (aa(complex,complex,uminus_uminus(complex),X0) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10360])).
% 59.37/10.01  tff(f10360,plain,(
% 59.37/10.01    ! [X0 : complex] : aa(complex,complex,uminus_uminus(complex),X0) = aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0))),
% 59.37/10.01    inference(rectify,[],[f3301])).
% 59.37/10.01  tff(f3301,axiom,(
% 59.37/10.01    ! [X14 : 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),imaginary_unit),X14)) = aa(complex,complex,uminus_uminus(complex),X14)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3300_complex__i__mult__minus)).
% 59.37/10.01  tff(f53372,plain,(
% 59.37/10.01    ( ! [X0 : complex] : (aa(complex,complex,uminus_uminus(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),imaginary_unit),X0))) = X0) )),
% 59.37/10.01    inference(equality_resolution,[],[f46604])).
% 59.37/10.01  tff(f46604,plain,(
% 59.37/10.01    ( ! [X0 : complex,X1 : complex] : (aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) = X0 | aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) != X1) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32192])).
% 59.37/10.01  tff(f32192,plain,(
% 59.37/10.01    ! [X0 : complex,X1 : complex] : ((aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) = X1 | aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) != X0) & (aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) = X0 | aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) != X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f16561])).
% 59.37/10.01  tff(f16561,plain,(
% 59.37/10.01    ! [X0 : complex,X1 : complex] : (aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X0) = X1 <=> aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X1)) = X0)),
% 59.37/10.01    inference(rectify,[],[f3315])).
% 59.37/10.01  tff(f3315,axiom,(
% 59.37/10.01    ! [X61 : complex,X60 : complex] : (aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X61) = X60 <=> aa(complex,complex,uminus_uminus(complex),aa(complex,complex,aa(complex,fun(complex,complex),times_times(complex),imaginary_unit),X60)) = X61)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3314_i__times__eq__iff)).
% 59.37/10.01  tff(f76477,plain,(
% 59.37/10.01    spl2737_2250),
% 59.37/10.01    inference(avatar_split_clause,[],[f60204,f76475])).
% 59.37/10.01  tff(f76475,plain,(
% 59.37/10.01    spl2737_2250 <=> ! [X0 : fun(nat,bool),X3 : nat] : (~sP355(X0,aa(nat,int,code_T6385005292777649522of_nat,X3)) | pp(aa(nat,bool,X0,X3)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2250])])).
% 59.37/10.01  tff(f60204,plain,(
% 59.37/10.01    ( ! [X3 : nat,X0 : fun(nat,bool)] : (~sP355(X0,aa(nat,int,code_T6385005292777649522of_nat,X3)) | pp(aa(nat,bool,X0,X3))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f53340,f35405])).
% 59.37/10.01  tff(f53340,plain,(
% 59.37/10.01    ( ! [X3 : nat,X0 : fun(nat,bool)] : (pp(aa(nat,bool,X0,X3)) | ~sP355(X0,aa(nat,int,semiring_1_of_nat(int),X3))) )),
% 59.37/10.01    inference(equality_resolution,[],[f46429])).
% 59.37/10.01  tff(f46429,plain,(
% 59.37/10.01    ( ! [X3 : nat,X0 : fun(nat,bool),X1 : int] : (pp(aa(nat,bool,X0,X3)) | aa(nat,int,semiring_1_of_nat(int),X3) != X1 | ~sP355(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32082])).
% 59.37/10.01  tff(f76473,plain,(
% 59.37/10.01    spl2737_2249),
% 59.37/10.01    inference(avatar_split_clause,[],[f57307,f76471])).
% 59.37/10.01  tff(f76471,plain,(
% 59.37/10.01    spl2737_2249 <=> ! [X0 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),X0)) | size_num(one2) = X0)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2249])])).
% 59.37/10.01  tff(f57307,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),X0)) | size_num(one2) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f57306,f54053])).
% 59.37/10.01  tff(f57306,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,size_num(one2))),X0)) | size_num(one2) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f57305,f35397])).
% 59.37/10.01  tff(f57305,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f43397,f35397])).
% 59.37/10.01  tff(f43397,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30665])).
% 59.37/10.01  tff(f30665,plain,(
% 59.37/10.01    ! [X0 : nat] : ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0)) | zero_zero(nat) != X0) & (zero_zero(nat) = X0 | ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0))))),
% 59.37/10.01    inference(nnf_transformation,[],[f14645])).
% 59.37/10.01  tff(f14645,plain,(
% 59.37/10.01    ! [X0 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0)) <=> zero_zero(nat) = X0)),
% 59.37/10.01    inference(rectify,[],[f3475])).
% 59.37/10.01  tff(f3475,axiom,(
% 59.37/10.01    ! [X8 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X8)) <=> zero_zero(nat) = X8)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3474_bit__Suc__0__iff)).
% 59.37/10.01  tff(f76469,plain,(
% 59.37/10.01    spl2737_2248),
% 59.37/10.01    inference(avatar_split_clause,[],[f57251,f76467])).
% 59.37/10.01  tff(f76467,plain,(
% 59.37/10.01    spl2737_2248 <=> ! [X0 : real] : (size_num(one2) != sK1280(X0) | ~pp(aa(real,bool,aTP_Lamp_og(real,bool),X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2248])])).
% 59.37/10.01  tff(f57251,plain,(
% 59.37/10.01    ( ! [X0 : real] : (size_num(one2) != sK1280(X0) | ~pp(aa(real,bool,aTP_Lamp_og(real,bool),X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f43360,f35397])).
% 59.37/10.01  tff(f43360,plain,(
% 59.37/10.01    ( ! [X0 : real] : (zero_zero(nat) != sK1280(X0) | ~pp(aa(real,bool,aTP_Lamp_og(real,bool),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30627])).
% 59.37/10.01  tff(f30627,plain,(
% 59.37/10.01    ! [X0 : real] : ((pp(aa(real,bool,aTP_Lamp_og(real,bool),X0)) | ! [X1 : int,X2 : nat] : (zero_zero(nat) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) != X0)) & ((zero_zero(nat) != sK1280(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK1279(X0)),aa(nat,real,semiring_1_of_nat(real),sK1280(X0))) = X0) | ~pp(aa(real,bool,aTP_Lamp_og(real,bool),X0))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1279,sK1280])],[f30625,f30626])).
% 59.37/10.01  tff(f30626,plain,(
% 59.37/10.01    ! [X0 : real] : (? [X3 : int,X4 : nat] : (zero_zero(nat) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(nat,real,semiring_1_of_nat(real),X4)) = X0) => (zero_zero(nat) != sK1280(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK1279(X0)),aa(nat,real,semiring_1_of_nat(real),sK1280(X0))) = X0))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f30625,plain,(
% 59.37/10.01    ! [X0 : real] : ((pp(aa(real,bool,aTP_Lamp_og(real,bool),X0)) | ! [X1 : int,X2 : nat] : (zero_zero(nat) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) != X0)) & (? [X3 : int,X4 : nat] : (zero_zero(nat) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(nat,real,semiring_1_of_nat(real),X4)) = X0) | ~pp(aa(real,bool,aTP_Lamp_og(real,bool),X0))))),
% 59.37/10.01    inference(rectify,[],[f30624])).
% 59.37/10.01  tff(f30624,plain,(
% 59.37/10.01    ! [X0 : real] : ((pp(aa(real,bool,aTP_Lamp_og(real,bool),X0)) | ! [X1 : int,X2 : nat] : (zero_zero(nat) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) != X0)) & (? [X1 : int,X2 : nat] : (zero_zero(nat) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) = X0) | ~pp(aa(real,bool,aTP_Lamp_og(real,bool),X0))))),
% 59.37/10.01    inference(nnf_transformation,[],[f14628])).
% 59.37/10.01  tff(f14628,plain,(
% 59.37/10.01    ! [X0 : real] : (pp(aa(real,bool,aTP_Lamp_og(real,bool),X0)) <=> ? [X1 : int,X2 : nat] : (zero_zero(nat) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(nat,real,semiring_1_of_nat(real),X2)) = X0))),
% 59.37/10.01    inference(rectify,[],[f8163])).
% 59.37/10.01  tff(f8163,axiom,(
% 59.37/10.01    ! [X94 : real] : (pp(aa(real,bool,aTP_Lamp_og(real,bool),X94)) <=> ? [X29 : int,X62 : nat] : (zero_zero(nat) != X62 & divide_divide(real,aa(int,real,ring_1_of_int(real),X29),aa(nat,real,semiring_1_of_nat(real),X62)) = X94))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8162_ATP_Olambda__47)).
% 59.37/10.01  tff(f76465,plain,(
% 59.37/10.01    spl2737_2247),
% 59.37/10.01    inference(avatar_split_clause,[],[f56403,f76463])).
% 59.37/10.01  tff(f76463,plain,(
% 59.37/10.01    spl2737_2247 <=> ! [X0 : fun(nat,bool)] : (~pp(aa(nat,bool,X0,size_num(one2))) | size_num(one2) = ord_Least(nat,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2247])])).
% 59.37/10.01  tff(f56403,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool)] : (~pp(aa(nat,bool,X0,size_num(one2))) | size_num(one2) = ord_Least(nat,X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f56402,f35397])).
% 59.37/10.01  tff(f56402,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool)] : (size_num(one2) = ord_Least(nat,X0) | ~pp(aa(nat,bool,X0,zero_zero(nat)))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f42504,f35397])).
% 59.37/10.01  tff(f42504,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool)] : (zero_zero(nat) = ord_Least(nat,X0) | ~pp(aa(nat,bool,X0,zero_zero(nat)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f22693])).
% 59.37/10.01  tff(f22693,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (zero_zero(nat) = ord_Least(nat,X0) | ~pp(aa(nat,bool,X0,zero_zero(nat))))),
% 59.37/10.01    inference(ennf_transformation,[],[f14028])).
% 59.37/10.01  tff(f14028,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,X0,zero_zero(nat))) => zero_zero(nat) = ord_Least(nat,X0))),
% 59.37/10.01    inference(rectify,[],[f6536])).
% 59.37/10.01  tff(f6536,axiom,(
% 59.37/10.01    ! [X17 : fun(nat,bool)] : (pp(aa(nat,bool,X17,zero_zero(nat))) => zero_zero(nat) = ord_Least(nat,X17))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6535_Least__eq__0)).
% 59.37/10.01  tff(f76461,plain,(
% 59.37/10.01    spl2737_2246),
% 59.37/10.01    inference(avatar_split_clause,[],[f55312,f76459])).
% 59.37/10.01  tff(f76459,plain,(
% 59.37/10.01    spl2737_2246 <=> ! [X0 : $tType,X2 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X2),size_num(one2)) | ~field_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2246])])).
% 59.37/10.01  tff(f55312,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X2),size_num(one2)) | ~field_char_0(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f52656,f35397])).
% 59.37/10.01  tff(f52656,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X2),zero_zero(nat)) | ~field_char_0(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f38794])).
% 59.37/10.01  tff(f38794,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (one_one(X0) = aa(nat,X0,gbinomial(X0,X2),X1) | zero_zero(nat) != X1 | ~field_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20019])).
% 59.37/10.01  tff(f20019,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : ((aa(nat,X0,gbinomial(X0,X2),X1) = divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_ao(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)) | zero_zero(nat) = X1) & (one_one(X0) = aa(nat,X0,gbinomial(X0,X2),X1) | zero_zero(nat) != X1)) | ~field_char_0(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11837])).
% 59.37/10.01  tff(f11837,plain,(
% 59.37/10.01    ! [X0 : $tType] : (field_char_0(X0) => ! [X1 : nat,X2 : X0] : ((zero_zero(nat) != X1 => aa(nat,X0,gbinomial(X0,X2),X1) = divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_ao(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))) & (zero_zero(nat) = X1 => one_one(X0) = aa(nat,X0,gbinomial(X0,X2),X1))))),
% 59.37/10.01    inference(rectify,[],[f3568])).
% 59.37/10.01  tff(f3568,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (field_char_0(X0) => ! [X18 : nat,X7 : X0] : ((zero_zero(nat) != X18 => aa(nat,X0,gbinomial(X0,X7),X18) = divide_divide(X0,set_fo6178422350223883121st_nat(X0,aTP_Lamp_ao(X0,fun(nat,fun(X0,X0)),X7),zero_zero(nat),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X18),one_one(nat)),one_one(X0)),semiring_char_0_fact(X0,X18))) & (zero_zero(nat) = X18 => one_one(X0) = aa(nat,X0,gbinomial(X0,X7),X18))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3567_gbinomial__code)).
% 59.37/10.01  tff(f76457,plain,(
% 59.37/10.01    spl2737_2245),
% 59.37/10.01    inference(avatar_split_clause,[],[f55061,f76455])).
% 59.37/10.01  tff(f76455,plain,(
% 59.37/10.01    spl2737_2245 <=> ! [X0 : $tType,X1 : set(X0)] : (size_num(one2) = real_Vector_dim(X0,X1) | ~real_V358717886546972837endent(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2245])])).
% 59.37/10.01  tff(f55061,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (size_num(one2) = real_Vector_dim(X0,X1) | ~real_V358717886546972837endent(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f37064,f35397])).
% 59.37/10.01  tff(f37064,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (zero_zero(nat) = real_Vector_dim(X0,X1) | ~real_V358717886546972837endent(X0,sK651(X0,X1)) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28228])).
% 59.37/10.01  tff(f76453,plain,(
% 59.37/10.01    spl2737_2244),
% 59.37/10.01    inference(avatar_split_clause,[],[f54813,f76451])).
% 59.37/10.01  tff(f76451,plain,(
% 59.37/10.01    spl2737_2244 <=> ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2244])])).
% 59.37/10.01  tff(f54813,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54812,f36053])).
% 59.37/10.01  tff(f36053,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,X0)),one_one(nat)) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10214])).
% 59.37/10.01  tff(f10214,plain,(
% 59.37/10.01    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,X0)),one_one(nat)) = X0),
% 59.37/10.01    inference(rectify,[],[f333])).
% 59.37/10.01  tff(f333,axiom,(
% 59.37/10.01    ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,X8)),one_one(nat)) = X8),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_diff__Suc__1)).
% 59.37/10.01  tff(f54812,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))),one_one(nat)) = aa(set(nat),nat,nat_set_encode,order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54811,f54446])).
% 59.37/10.01  tff(f54811,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)),one_one(nat)) = aa(set(nat),nat,nat_set_encode,order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54810,f54053])).
% 59.37/10.01  tff(f54810,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(set(nat),nat,nat_set_encode,order_underS(nat,bNF_Ca8665028551170535155natLeq,X0)) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)),aa(nat,nat,suc,size_num(one2)))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54809,f35397])).
% 59.37/10.01  tff(f54809,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,nat_set_encode,order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54808,f54194])).
% 59.37/10.01  tff(f54194,plain,(
% 59.37/10.01    nat_set_encode = aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))))),
% 59.37/10.01    inference(forward_demodulation,[],[f54193,f54081])).
% 59.37/10.01  tff(f54193,plain,(
% 59.37/10.01    nat_set_encode = aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))))),
% 59.37/10.01    inference(forward_demodulation,[],[f54192,f35414])).
% 59.37/10.01  tff(f54192,plain,(
% 59.37/10.01    nat_set_encode = 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,aa(num,fun(num,num),plus_plus(num),one2),one2))))),
% 59.37/10.01    inference(forward_demodulation,[],[f50555,f50511])).
% 59.37/10.01  tff(f50555,plain,(
% 59.37/10.01    nat_set_encode = 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,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))))),
% 59.37/10.01    inference(definition_unfolding,[],[f35634,f50501])).
% 59.37/10.01  tff(f35634,plain,(
% 59.37/10.01    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),bit0(one2)))) = nat_set_encode),
% 59.37/10.01    inference(cnf_transformation,[],[f4066])).
% 59.37/10.01  tff(f4066,axiom,(
% 59.37/10.01    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),bit0(one2)))) = nat_set_encode),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4065_set__encode__def)).
% 59.37/10.01  tff(f54808,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat)))),order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54807,f54081])).
% 59.37/10.01  tff(f54807,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)))),order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54806,f35414])).
% 59.37/10.01  tff(f54806,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,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,aa(num,fun(num,num),plus_plus(num),one2),one2)))),order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54805,f50511])).
% 59.37/10.01  tff(f54805,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,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,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))),order_underS(nat,bNF_Ca8665028551170535155natLeq,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f50723,f36051])).
% 59.37/10.01  tff(f50723,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,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,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0)))) )),
% 59.37/10.01    inference(definition_unfolding,[],[f36315,f50501,f50501])).
% 59.37/10.01  tff(f36315,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,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),bit0(one2)))),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10476])).
% 59.37/10.01  tff(f10476,plain,(
% 59.37/10.01    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,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),bit0(one2)))),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0)))),
% 59.37/10.01    inference(rectify,[],[f3782])).
% 59.37/10.01  tff(f3782,axiom,(
% 59.37/10.01    ! [X8 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X8)),aa(nat,nat,suc,zero_zero(nat))) = aa(set(nat),nat,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),bit0(one2)))),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3781_mask__eq__sum__exp__nat)).
% 59.37/10.01  tff(f76449,plain,(
% 59.37/10.01    spl2737_2243),
% 59.37/10.01    inference(avatar_split_clause,[],[f54327,f76447])).
% 59.37/10.01  tff(f76447,plain,(
% 59.37/10.01    spl2737_2243 <=> ! [X0 : num] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),aa(num,nat,nat_of_num,X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2243])])).
% 59.37/10.01  tff(f54327,plain,(
% 59.37/10.01    ( ! [X0 : num] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),aa(num,nat,nat_of_num,X0)))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54326,f54053])).
% 59.37/10.01  tff(f54326,plain,(
% 59.37/10.01    ( ! [X0 : num] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,size_num(one2))),aa(num,nat,nat_of_num,X0)))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54325,f35397])).
% 59.37/10.01  tff(f54325,plain,(
% 59.37/10.01    ( ! [X0 : num] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,nat_of_num,X0)))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f36015,f35414])).
% 59.37/10.01  tff(f36015,plain,(
% 59.37/10.01    ( ! [X0 : num] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10175])).
% 59.37/10.01  tff(f10175,plain,(
% 59.37/10.01    ! [X0 : num] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X0)))),
% 59.37/10.01    inference(rectify,[],[f3478])).
% 59.37/10.01  tff(f3478,axiom,(
% 59.37/10.01    ! [X8 : num] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(num,nat,numeral_numeral(nat),X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3477_not__bit__Suc__0__numeral)).
% 59.37/10.01  tff(f76445,plain,(
% 59.37/10.01    spl2737_2242),
% 59.37/10.01    inference(avatar_split_clause,[],[f54316,f76443])).
% 59.37/10.01  tff(f76443,plain,(
% 59.37/10.01    spl2737_2242 <=> ! [X0 : nat] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),aa(nat,nat,suc,X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2242])])).
% 59.37/10.01  tff(f54316,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),aa(nat,nat,suc,X0)))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54315,f54053])).
% 59.37/10.01  tff(f54315,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,size_num(one2))),aa(nat,nat,suc,X0)))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f35996,f35397])).
% 59.37/10.01  tff(f35996,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10156])).
% 59.37/10.01  tff(f10156,plain,(
% 59.37/10.01    ! [X0 : nat] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X0)))),
% 59.37/10.01    inference(rectify,[],[f3476])).
% 59.37/10.01  tff(f3476,axiom,(
% 59.37/10.01    ! [X8 : nat] : ~pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),aa(nat,nat,suc,X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3475_not__bit__Suc__0__Suc)).
% 59.37/10.01  tff(f76441,plain,(
% 59.37/10.01    spl2737_2241 | ~spl2737_229 | ~spl2737_952),
% 59.37/10.01    inference(avatar_split_clause,[],[f69231,f68865,f65364,f76438])).
% 59.37/10.01  tff(f76438,plain,(
% 59.37/10.01    spl2737_2241 <=> sP181(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2241])])).
% 59.37/10.01  tff(f68865,plain,(
% 59.37/10.01    spl2737_952 <=> ! [X0 : $tType] : (sP181(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_952])])).
% 59.37/10.01  tff(f69231,plain,(
% 59.37/10.01    sP181(int) | (~spl2737_229 | ~spl2737_952)),
% 59.37/10.01    inference(resolution,[],[f68866,f65366])).
% 59.37/10.01  tff(f68866,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP181(X0)) ) | ~spl2737_952),
% 59.37/10.01    inference(avatar_component_clause,[],[f68865])).
% 59.37/10.01  tff(f76436,plain,(
% 59.37/10.01    spl2737_2240),
% 59.37/10.01    inference(avatar_split_clause,[],[f54111,f76433])).
% 59.37/10.01  tff(f76433,plain,(
% 59.37/10.01    spl2737_2240 <=> im(imaginary_unit) = aa(real,real,tan(real),suminf(real,aTP_Lamp_bf(nat,real)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2240])])).
% 59.37/10.01  tff(f54111,plain,(
% 59.37/10.01    im(imaginary_unit) = aa(real,real,tan(real),suminf(real,aTP_Lamp_bf(nat,real)))),
% 59.37/10.01    inference(forward_demodulation,[],[f54110,f35393])).
% 59.37/10.01  tff(f54110,plain,(
% 59.37/10.01    one_one(real) = aa(real,real,tan(real),suminf(real,aTP_Lamp_bf(nat,real)))),
% 59.37/10.01    inference(forward_demodulation,[],[f54109,f54097])).
% 59.37/10.01  tff(f54097,plain,(
% 59.37/10.01    suminf(real,aTP_Lamp_bf(nat,real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),one2)))),
% 59.37/10.01    inference(forward_demodulation,[],[f50527,f50511])).
% 59.37/10.01  tff(f50527,plain,(
% 59.37/10.01    suminf(real,aTP_Lamp_bf(nat,real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),one2)))),
% 59.37/10.01    inference(definition_unfolding,[],[f35550,f50501,f50501])).
% 59.37/10.01  tff(f35550,plain,(
% 59.37/10.01    divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(bit0(one2)))) = suminf(real,aTP_Lamp_bf(nat,real))),
% 59.37/10.01    inference(cnf_transformation,[],[f3613])).
% 59.37/10.01  tff(f3613,axiom,(
% 59.37/10.01    divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(bit0(one2)))) = suminf(real,aTP_Lamp_bf(nat,real))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3612_pi__series)).
% 59.37/10.01  tff(f54109,plain,(
% 59.37/10.01    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),one2))))),
% 59.37/10.01    inference(forward_demodulation,[],[f50532,f50511])).
% 59.37/10.01  tff(f50532,plain,(
% 59.37/10.01    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),one2))))),
% 59.37/10.01    inference(definition_unfolding,[],[f35566,f50501,f50501])).
% 59.37/10.01  tff(f35566,plain,(
% 59.37/10.01    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(bit0(one2)))))),
% 59.37/10.01    inference(cnf_transformation,[],[f3129])).
% 59.37/10.01  tff(f3129,axiom,(
% 59.37/10.01    one_one(real) = aa(real,real,tan(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(bit0(one2)))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3128_tan__45)).
% 59.37/10.01  tff(f76431,plain,(
% 59.37/10.01    spl2737_2239),
% 59.37/10.01    inference(avatar_split_clause,[],[f54079,f76428])).
% 59.37/10.01  tff(f76428,plain,(
% 59.37/10.01    spl2737_2239 <=> semila1105856199041335345_order(nat,gcd_gcd(nat),size_num(one2),dvd_dvd(nat),aTP_Lamp_abj(nat,fun(nat,bool)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2239])])).
% 59.37/10.01  tff(f54079,plain,(
% 59.37/10.01    semila1105856199041335345_order(nat,gcd_gcd(nat),size_num(one2),dvd_dvd(nat),aTP_Lamp_abj(nat,fun(nat,bool)))),
% 59.37/10.01    inference(forward_demodulation,[],[f35514,f35397])).
% 59.37/10.01  tff(f35514,plain,(
% 59.37/10.01    semila1105856199041335345_order(nat,gcd_gcd(nat),zero_zero(nat),dvd_dvd(nat),aTP_Lamp_abj(nat,fun(nat,bool)))),
% 59.37/10.01    inference(cnf_transformation,[],[f6702])).
% 59.37/10.01  tff(f6702,axiom,(
% 59.37/10.01    semila1105856199041335345_order(nat,gcd_gcd(nat),zero_zero(nat),dvd_dvd(nat),aTP_Lamp_abj(nat,fun(nat,bool)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6701_gcd__nat_Osemilattice__neutr__order__axioms)).
% 59.37/10.01  tff(f76425,plain,(
% 59.37/10.01    spl2737_2238),
% 59.37/10.01    inference(avatar_split_clause,[],[f54078,f76422])).
% 59.37/10.01  tff(f54078,plain,(
% 59.37/10.01    image(nat,nat,suc,top_top(set(nat))) = set_ord_greaterThan(nat,size_num(one2))),
% 59.37/10.01    inference(forward_demodulation,[],[f35513,f35397])).
% 59.37/10.01  tff(f35513,plain,(
% 59.37/10.01    image(nat,nat,suc,top_top(set(nat))) = set_ord_greaterThan(nat,zero_zero(nat))),
% 59.37/10.01    inference(cnf_transformation,[],[f6111])).
% 59.37/10.01  tff(f6111,axiom,(
% 59.37/10.01    image(nat,nat,suc,top_top(set(nat))) = set_ord_greaterThan(nat,zero_zero(nat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6110_greaterThan__0)).
% 59.37/10.01  tff(f76420,plain,(
% 59.37/10.01    spl2737_2237 | ~spl2737_2236),
% 59.37/10.01    inference(avatar_split_clause,[],[f76415,f76411,f76417])).
% 59.37/10.01  tff(f76411,plain,(
% 59.37/10.01    spl2737_2236 <=> pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),im(imaginary_unit)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2236])])).
% 59.37/10.01  tff(f76415,plain,(
% 59.37/10.01    pi = aa(real,real,arccos,aa(real,real,cos(real),pi)) | ~spl2737_2236),
% 59.37/10.01    inference(forward_demodulation,[],[f76413,f54082])).
% 59.37/10.01  tff(f76413,plain,(
% 59.37/10.01    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),im(imaginary_unit))) | ~spl2737_2236),
% 59.37/10.01    inference(avatar_component_clause,[],[f76411])).
% 59.37/10.01  tff(f76414,plain,(
% 59.37/10.01    spl2737_2236),
% 59.37/10.01    inference(avatar_split_clause,[],[f54072,f76411])).
% 59.37/10.01  tff(f54072,plain,(
% 59.37/10.01    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),im(imaginary_unit)))),
% 59.37/10.01    inference(forward_demodulation,[],[f35508,f35393])).
% 59.37/10.01  tff(f35508,plain,(
% 59.37/10.01    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real)))),
% 59.37/10.01    inference(cnf_transformation,[],[f3078])).
% 59.37/10.01  tff(f3078,axiom,(
% 59.37/10.01    pi = aa(real,real,arccos,aa(real,real,uminus_uminus(real),one_one(real)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3077_arccos__minus__1)).
% 59.37/10.01  tff(f76409,plain,(
% 59.37/10.01    spl2737_2235),
% 59.37/10.01    inference(avatar_split_clause,[],[f53830,f76407])).
% 59.37/10.01  tff(f76407,plain,(
% 59.37/10.01    spl2737_2235 <=> ! [X0 : $tType,X4 : fun(X0,bool),X3 : fun(X0,bool),X2 : list(X0)] : (list_all(X0,X4,X2) | ~list_all(X0,X3,X2) | sP532(X0,X4,X3,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2235])])).
% 59.37/10.01  tff(f53830,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (list_all(X0,X4,X2) | ~list_all(X0,X3,X2) | sP532(X0,X4,X3,X2)) )),
% 59.37/10.01    inference(equality_resolution,[],[f49802])).
% 59.37/10.01  tff(f49802,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : fun(X0,bool)] : (list_all(X0,X4,X2) | ~list_all(X0,X3,X1) | sP532(X0,X4,X3,X2) | X1 != X2) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34170])).
% 59.37/10.01  tff(f34170,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (((list_all(X0,X3,X1) | ~list_all(X0,X4,X2)) & (list_all(X0,X4,X2) | ~list_all(X0,X3,X1))) | sP532(X0,X4,X3,X2) | X1 != X2)),
% 59.37/10.01    inference(nnf_transformation,[],[f27888])).
% 59.37/10.01  tff(f27888,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : ((list_all(X0,X3,X1) <=> list_all(X0,X4,X2)) | sP532(X0,X4,X3,X2) | X1 != X2)),
% 59.37/10.01    inference(definition_folding,[],[f26691,f27887])).
% 59.37/10.01  tff(f27887,plain,(
% 59.37/10.01    ! [X4 : fun(X0,bool),X0 : $tType,X3 : fun(X0,bool),X2 : list(X0)] : (? [X5 : X0] : ((pp(aa(X0,bool,X3,X5)) <~> pp(aa(X0,bool,X4,X5))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2)))) | ~sP532(X0,X4,X3,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP532])])).
% 59.37/10.01  tff(f26691,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : ((list_all(X0,X3,X1) <=> list_all(X0,X4,X2)) | ? [X5 : X0] : ((pp(aa(X0,bool,X3,X5)) <~> pp(aa(X0,bool,X4,X5))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2)))) | X1 != X2)),
% 59.37/10.01    inference(flattening,[],[f26690])).
% 59.37/10.01  tff(f26690,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (((list_all(X0,X3,X1) <=> list_all(X0,X4,X2)) | ? [X5 : X0] : ((pp(aa(X0,bool,X3,X5)) <~> pp(aa(X0,bool,X4,X5))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2))))) | X1 != X2)),
% 59.37/10.01    inference(ennf_transformation,[],[f18022])).
% 59.37/10.01  tff(f18022,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (X1 = X2 => (! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2))) => (pp(aa(X0,bool,X3,X5)) <=> pp(aa(X0,bool,X4,X5)))) => (list_all(X0,X3,X1) <=> list_all(X0,X4,X2))))),
% 59.37/10.01    inference(rectify,[],[f7980])).
% 59.37/10.01  tff(f7980,axiom,(
% 59.37/10.01    ! [X0 : $tType,X14 : list(X0),X206 : list(X0),X17 : fun(X0,bool),X349 : fun(X0,bool)] : (X14 = X206 => (! [X96 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X96),aa(list(X0),set(X0),set2(X0),X206))) => (pp(aa(X0,bool,X17,X96)) <=> pp(aa(X0,bool,X349,X96)))) => (list_all(X0,X17,X14) <=> list_all(X0,X349,X206))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7979_list__all__cong)).
% 59.37/10.01  tff(f76405,plain,(
% 59.37/10.01    spl2737_2234),
% 59.37/10.01    inference(avatar_split_clause,[],[f53829,f76403])).
% 59.37/10.01  tff(f76403,plain,(
% 59.37/10.01    spl2737_2234 <=> ! [X0 : $tType,X4 : fun(X0,bool),X3 : fun(X0,bool),X2 : list(X0)] : (list_all(X0,X3,X2) | ~list_all(X0,X4,X2) | sP532(X0,X4,X3,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2234])])).
% 59.37/10.01  tff(f53829,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (list_all(X0,X3,X2) | ~list_all(X0,X4,X2) | sP532(X0,X4,X3,X2)) )),
% 59.37/10.01    inference(equality_resolution,[],[f49803])).
% 59.37/10.01  tff(f49803,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : fun(X0,bool)] : (list_all(X0,X3,X1) | ~list_all(X0,X4,X2) | sP532(X0,X4,X3,X2) | X1 != X2) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34170])).
% 59.37/10.01  tff(f76401,plain,(
% 59.37/10.01    spl2737_2233),
% 59.37/10.01    inference(avatar_split_clause,[],[f53828,f76399])).
% 59.37/10.01  tff(f76399,plain,(
% 59.37/10.01    spl2737_2233 <=> ! [X0 : $tType,X4 : fun(X0,bool),X3 : fun(X0,bool),X2 : list(X0)] : (list_ex(X0,X4,X2) | ~list_ex(X0,X3,X2) | sP531(X0,X4,X3,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2233])])).
% 59.37/10.01  tff(f53828,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (list_ex(X0,X4,X2) | ~list_ex(X0,X3,X2) | sP531(X0,X4,X3,X2)) )),
% 59.37/10.01    inference(equality_resolution,[],[f49797])).
% 59.37/10.01  tff(f49797,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : fun(X0,bool)] : (list_ex(X0,X4,X2) | ~list_ex(X0,X3,X1) | sP531(X0,X4,X3,X2) | X1 != X2) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34164])).
% 59.37/10.01  tff(f34164,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (((list_ex(X0,X3,X1) | ~list_ex(X0,X4,X2)) & (list_ex(X0,X4,X2) | ~list_ex(X0,X3,X1))) | sP531(X0,X4,X3,X2) | X1 != X2)),
% 59.37/10.01    inference(nnf_transformation,[],[f27886])).
% 59.37/10.01  tff(f27886,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : ((list_ex(X0,X3,X1) <=> list_ex(X0,X4,X2)) | sP531(X0,X4,X3,X2) | X1 != X2)),
% 59.37/10.01    inference(definition_folding,[],[f26689,f27885])).
% 59.37/10.01  tff(f27885,plain,(
% 59.37/10.01    ! [X4 : fun(X0,bool),X0 : $tType,X3 : fun(X0,bool),X2 : list(X0)] : (? [X5 : X0] : ((pp(aa(X0,bool,X3,X5)) <~> pp(aa(X0,bool,X4,X5))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2)))) | ~sP531(X0,X4,X3,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP531])])).
% 59.37/10.01  tff(f26689,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : ((list_ex(X0,X3,X1) <=> list_ex(X0,X4,X2)) | ? [X5 : X0] : ((pp(aa(X0,bool,X3,X5)) <~> pp(aa(X0,bool,X4,X5))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2)))) | X1 != X2)),
% 59.37/10.01    inference(flattening,[],[f26688])).
% 59.37/10.01  tff(f26688,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (((list_ex(X0,X3,X1) <=> list_ex(X0,X4,X2)) | ? [X5 : X0] : ((pp(aa(X0,bool,X3,X5)) <~> pp(aa(X0,bool,X4,X5))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2))))) | X1 != X2)),
% 59.37/10.01    inference(ennf_transformation,[],[f18021])).
% 59.37/10.01  tff(f18021,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (X1 = X2 => (! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2))) => (pp(aa(X0,bool,X3,X5)) <=> pp(aa(X0,bool,X4,X5)))) => (list_ex(X0,X3,X1) <=> list_ex(X0,X4,X2))))),
% 59.37/10.01    inference(rectify,[],[f7311])).
% 59.37/10.01  tff(f7311,axiom,(
% 59.37/10.01    ! [X0 : $tType,X123 : list(X0),X167 : list(X0),X32 : fun(X0,bool),X33 : fun(X0,bool)] : (X123 = X167 => (! [X20 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X20),aa(list(X0),set(X0),set2(X0),X167))) => (pp(aa(X0,bool,X32,X20)) <=> pp(aa(X0,bool,X33,X20)))) => (list_ex(X0,X32,X123) <=> list_ex(X0,X33,X167))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7310_list__ex__cong)).
% 59.37/10.01  tff(f76397,plain,(
% 59.37/10.01    spl2737_2232),
% 59.37/10.01    inference(avatar_split_clause,[],[f53827,f76395])).
% 59.37/10.01  tff(f76395,plain,(
% 59.37/10.01    spl2737_2232 <=> ! [X0 : $tType,X4 : fun(X0,bool),X3 : fun(X0,bool),X2 : list(X0)] : (list_ex(X0,X3,X2) | ~list_ex(X0,X4,X2) | sP531(X0,X4,X3,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2232])])).
% 59.37/10.01  tff(f53827,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X4 : fun(X0,bool)] : (list_ex(X0,X3,X2) | ~list_ex(X0,X4,X2) | sP531(X0,X4,X3,X2)) )),
% 59.37/10.01    inference(equality_resolution,[],[f49798])).
% 59.37/10.01  tff(f49798,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : fun(X0,bool)] : (list_ex(X0,X3,X1) | ~list_ex(X0,X4,X2) | sP531(X0,X4,X3,X2) | X1 != X2) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34164])).
% 59.37/10.01  tff(f76393,plain,(
% 59.37/10.01    spl2737_2231 | ~spl2737_227 | ~spl2737_952),
% 59.37/10.01    inference(avatar_split_clause,[],[f69230,f68865,f65354,f76390])).
% 59.37/10.01  tff(f76390,plain,(
% 59.37/10.01    spl2737_2231 <=> sP181(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2231])])).
% 59.37/10.01  tff(f69230,plain,(
% 59.37/10.01    sP181(rat) | (~spl2737_227 | ~spl2737_952)),
% 59.37/10.01    inference(resolution,[],[f68866,f65356])).
% 59.37/10.01  tff(f76387,plain,(
% 59.37/10.01    spl2737_2230 | ~spl2737_2229),
% 59.37/10.01    inference(avatar_split_clause,[],[f76383,f76380,f76385])).
% 59.37/10.01  tff(f76380,plain,(
% 59.37/10.01    spl2737_2229 <=> ! [X1 : real] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2229])])).
% 59.37/10.01  tff(f76383,plain,(
% 59.37/10.01    ( ! [X1 : real] : (pp(aa(real,bool,combc(real,real,bool,ord_less_eq(real),X1),X1))) ) | ~spl2737_2229),
% 59.37/10.01    inference(forward_demodulation,[],[f76381,f50171])).
% 59.37/10.01  tff(f76381,plain,(
% 59.37/10.01    ( ! [X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),X1))) ) | ~spl2737_2229),
% 59.37/10.01    inference(avatar_component_clause,[],[f76380])).
% 59.37/10.01  tff(f76382,plain,(
% 59.37/10.01    spl2737_2229),
% 59.37/10.01    inference(avatar_split_clause,[],[f53360,f76380])).
% 59.37/10.01  tff(f53360,plain,(
% 59.37/10.01    ( ! [X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),X1))) )),
% 59.37/10.01    inference(equality_resolution,[],[f46539])).
% 59.37/10.01  tff(f46539,plain,(
% 59.37/10.01    ( ! [X0 : real,X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1)) | X0 != X1) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32143])).
% 59.37/10.01  tff(f32143,plain,(
% 59.37/10.01    ! [X0 : real,X1 : real] : ((pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1)) | (X0 != X1 & ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),X1)))) & (X0 = X1 | pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),X1)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1))))),
% 59.37/10.01    inference(flattening,[],[f32142])).
% 59.37/10.01  tff(f32142,plain,(
% 59.37/10.01    ! [X0 : real,X1 : real] : ((pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1)) | (X0 != X1 & ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),X1)))) & ((X0 = X1 | pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),X1))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1))))),
% 59.37/10.01    inference(nnf_transformation,[],[f16530])).
% 59.37/10.01  tff(f16530,plain,(
% 59.37/10.01    ! [X0 : real,X1 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),X1)) <=> (X0 = X1 | pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),X1))))),
% 59.37/10.01    inference(rectify,[],[f616])).
% 59.37/10.01  tff(f616,axiom,(
% 59.37/10.01    ! [X14 : real,X15 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X14),X15)) <=> (X14 = X15 | pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X14),X15))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_615_less__eq__real__def)).
% 59.37/10.01  tff(f76377,plain,(
% 59.37/10.01    spl2737_2228 | ~spl2737_2227),
% 59.37/10.01    inference(avatar_split_clause,[],[f76372,f76368,f76374])).
% 59.37/10.01  tff(f76368,plain,(
% 59.37/10.01    spl2737_2227 <=> pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),one2),one2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2227])])).
% 59.37/10.01  tff(f76372,plain,(
% 59.37/10.01    pp(aa(num,bool,combc(num,num,bool,ord_less_eq(num),one2),one2)) | ~spl2737_2227),
% 59.37/10.01    inference(forward_demodulation,[],[f76370,f50171])).
% 59.37/10.01  tff(f76370,plain,(
% 59.37/10.01    pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),one2),one2)) | ~spl2737_2227),
% 59.37/10.01    inference(avatar_component_clause,[],[f76368])).
% 59.37/10.01  tff(f76371,plain,(
% 59.37/10.01    spl2737_2227),
% 59.37/10.01    inference(avatar_split_clause,[],[f53109,f76368])).
% 59.37/10.01  tff(f53109,plain,(
% 59.37/10.01    pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),one2),one2))),
% 59.37/10.01    inference(equality_resolution,[],[f43396])).
% 59.37/10.01  tff(f43396,plain,(
% 59.37/10.01    ( ! [X0 : num] : (pp(aa(num,bool,aa(num,fun(num,bool),ord_less_eq(num),X0),one2)) | one2 != X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30664])).
% 59.37/10.01  tff(f76366,plain,(
% 59.37/10.01    spl2737_2226),
% 59.37/10.01    inference(avatar_split_clause,[],[f52794,f76364])).
% 59.37/10.01  tff(f76364,plain,(
% 59.37/10.01    spl2737_2226 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2226])])).
% 59.37/10.01  tff(f52794,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f39599])).
% 59.37/10.01  tff(f39599,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),X2) | zero_zero(X0) != X2 | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29115])).
% 59.37/10.01  tff(f76362,plain,(
% 59.37/10.01    spl2737_2225),
% 59.37/10.01    inference(avatar_split_clause,[],[f52651,f76360])).
% 59.37/10.01  tff(f76360,plain,(
% 59.37/10.01    spl2737_2225 <=> ! [X0 : $tType,X1 : X0,X3 : X0] : (divide_divide(X0,X1,zero_zero(X0)) = divide_divide(X0,X3,zero_zero(X0)) | ~field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2225])])).
% 59.37/10.01  tff(f52651,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X3 : X0,X1 : X0] : (divide_divide(X0,X1,zero_zero(X0)) = divide_divide(X0,X3,zero_zero(X0)) | ~field(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f38713])).
% 59.37/10.01  tff(f38713,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X3,X2) | zero_zero(X0) != X2 | ~field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28873])).
% 59.37/10.01  tff(f76358,plain,(
% 59.37/10.01    spl2737_2224),
% 59.37/10.01    inference(avatar_split_clause,[],[f52649,f76356])).
% 59.37/10.01  tff(f76356,plain,(
% 59.37/10.01    spl2737_2224 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (divide_divide(X0,zero_zero(X0),X2) = divide_divide(X0,zero_zero(X0),X3) | ~field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2224])])).
% 59.37/10.01  tff(f52649,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0] : (divide_divide(X0,zero_zero(X0),X2) = divide_divide(X0,zero_zero(X0),X3) | ~field(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f38710])).
% 59.37/10.01  tff(f38710,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = divide_divide(X0,X1,X3) | zero_zero(X0) != X1 | ~field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28871])).
% 59.37/10.01  tff(f76354,plain,(
% 59.37/10.01    spl2737_2223),
% 59.37/10.01    inference(avatar_split_clause,[],[f52637,f76352])).
% 59.37/10.01  tff(f76352,plain,(
% 59.37/10.01    spl2737_2223 <=> ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2223])])).
% 59.37/10.01  tff(f52637,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~field(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f38677])).
% 59.37/10.01  tff(f38677,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2 | ~field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28861])).
% 59.37/10.01  tff(f28861,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 59.37/10.01    inference(flattening,[],[f28860])).
% 59.37/10.01  tff(f28860,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | (X1 != X2 | zero_zero(X0) = X2)) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~field(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f19921])).
% 59.37/10.01  tff(f19921,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)) | ~field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11752])).
% 59.37/10.01  tff(f11752,plain,(
% 59.37/10.01    ! [X0 : $tType] : (field(X0) => ! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)))),
% 59.37/10.01    inference(rectify,[],[f965])).
% 59.37/10.01  tff(f965,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (field(X0) => ! [X7 : X0,X49 : X0] : (one_one(X0) = divide_divide(X0,X7,X49) <=> (X7 = X49 & zero_zero(X0) != X49)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_964_divide__eq__1__iff)).
% 59.37/10.01  tff(f76350,plain,(
% 59.37/10.01    spl2737_2222 | ~spl2737_228 | ~spl2737_952),
% 59.37/10.01    inference(avatar_split_clause,[],[f69229,f68865,f65359,f76347])).
% 59.37/10.01  tff(f76347,plain,(
% 59.37/10.01    spl2737_2222 <=> sP181(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2222])])).
% 59.37/10.01  tff(f69229,plain,(
% 59.37/10.01    sP181(real) | (~spl2737_228 | ~spl2737_952)),
% 59.37/10.01    inference(resolution,[],[f68866,f65361])).
% 59.37/10.01  tff(f76345,plain,(
% 59.37/10.01    spl2737_2221),
% 59.37/10.01    inference(avatar_split_clause,[],[f52615,f76343])).
% 59.37/10.01  tff(f76343,plain,(
% 59.37/10.01    spl2737_2221 <=> ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~linordered_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2221])])).
% 59.37/10.01  tff(f52615,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (one_one(X0) = divide_divide(X0,X2,X2) | zero_zero(X0) = X2 | ~linordered_field(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f37836])).
% 59.37/10.01  tff(f37836,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2 | ~linordered_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28545])).
% 59.37/10.01  tff(f28545,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | X1 != X2 | zero_zero(X0) = X2) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~linordered_field(X0))),
% 59.37/10.01    inference(flattening,[],[f28544])).
% 59.37/10.01  tff(f28544,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((one_one(X0) = divide_divide(X0,X1,X2) | (X1 != X2 | zero_zero(X0) = X2)) & ((X1 = X2 & zero_zero(X0) != X2) | one_one(X0) != divide_divide(X0,X1,X2))) | ~linordered_field(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f19454])).
% 59.37/10.01  tff(f19454,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)) | ~linordered_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11377])).
% 59.37/10.01  tff(f11377,plain,(
% 59.37/10.01    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (one_one(X0) = divide_divide(X0,X1,X2) <=> (X1 = X2 & zero_zero(X0) != X2)))),
% 59.37/10.01    inference(rectify,[],[f969])).
% 59.37/10.01  tff(f969,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X7 : X0] : (one_one(X0) = divide_divide(X0,X49,X7) <=> (X7 = X49 & zero_zero(X0) != X7)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_968_divide__eq__eq__1)).
% 59.37/10.01  tff(f76341,plain,(
% 59.37/10.01    spl2737_2220),
% 59.37/10.01    inference(avatar_split_clause,[],[f52568,f76339])).
% 59.37/10.01  tff(f76339,plain,(
% 59.37/10.01    spl2737_2220 <=> ! [X0 : $tType,X1 : real,X3 : real] : (real_V8093663219630862766scaleR(X0,X1,zero_zero(X0)) = real_V8093663219630862766scaleR(X0,X3,zero_zero(X0)) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2220])])).
% 59.37/10.01  tff(f52568,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X3 : real,X1 : real] : (real_V8093663219630862766scaleR(X0,X1,zero_zero(X0)) = real_V8093663219630862766scaleR(X0,X3,zero_zero(X0)) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f37184])).
% 59.37/10.01  tff(f37184,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : real,X1 : real] : (real_V8093663219630862766scaleR(X0,X1,X2) = real_V8093663219630862766scaleR(X0,X3,X2) | zero_zero(X0) != X2 | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28298])).
% 59.37/10.01  tff(f28298,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : real,X2 : X0,X3 : real] : ((real_V8093663219630862766scaleR(X0,X1,X2) = real_V8093663219630862766scaleR(X0,X3,X2) | (zero_zero(X0) != X2 & X1 != X3)) & (zero_zero(X0) = X2 | X1 = X3 | real_V8093663219630862766scaleR(X0,X1,X2) != real_V8093663219630862766scaleR(X0,X3,X2))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.01    inference(flattening,[],[f28297])).
% 59.37/10.01  tff(f28297,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : real,X2 : X0,X3 : real] : ((real_V8093663219630862766scaleR(X0,X1,X2) = real_V8093663219630862766scaleR(X0,X3,X2) | (zero_zero(X0) != X2 & X1 != X3)) & ((zero_zero(X0) = X2 | X1 = X3) | real_V8093663219630862766scaleR(X0,X1,X2) != real_V8093663219630862766scaleR(X0,X3,X2))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f18977])).
% 59.37/10.01  tff(f18977,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : real,X2 : X0,X3 : real] : (real_V8093663219630862766scaleR(X0,X1,X2) = real_V8093663219630862766scaleR(X0,X3,X2) <=> (zero_zero(X0) = X2 | X1 = X3)) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10981])).
% 59.37/10.01  tff(f10981,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : real,X2 : X0,X3 : real] : (real_V8093663219630862766scaleR(X0,X1,X2) = real_V8093663219630862766scaleR(X0,X3,X2) <=> (zero_zero(X0) = X2 | X1 = X3)))),
% 59.37/10.01    inference(rectify,[],[f3940])).
% 59.37/10.01  tff(f3940,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X7 : real,X14 : X0,X49 : real] : (real_V8093663219630862766scaleR(X0,X7,X14) = real_V8093663219630862766scaleR(X0,X49,X14) <=> (zero_zero(X0) = X14 | X7 = X49)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3939_scaleR__cancel__right)).
% 59.37/10.01  tff(f76337,plain,(
% 59.37/10.01    spl2737_2219),
% 59.37/10.01    inference(avatar_split_clause,[],[f52559,f76335])).
% 59.37/10.01  tff(f76335,plain,(
% 59.37/10.01    spl2737_2219 <=> ! [X0 : $tType] : (zero_zero(X0) = divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,zero_zero(X0))) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2219])])).
% 59.37/10.01  tff(f52559,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,zero_zero(X0))) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f36799])).
% 59.37/10.01  tff(f36799,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),unit_f5069060285200089521factor(X0,X1)) | zero_zero(X0) != X1 | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28143])).
% 59.37/10.01  tff(f76333,plain,(
% 59.37/10.01    spl2737_2218),
% 59.37/10.01    inference(avatar_split_clause,[],[f50367,f76331])).
% 59.37/10.01  tff(f76331,plain,(
% 59.37/10.01    spl2737_2218 <=> ! [X1 : $tType,X2 : list(X1),X3 : X1,X4 : list(X1),X0 : fun(X1,bool),X5 : list(X1)] : (pp(aa(X1,bool,X0,X3)) | ~sP554(X1,X0,X2,X3,X4,X5))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2218])])).
% 59.37/10.01  tff(f50367,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : list(X1),X3 : X1,X0 : fun(X1,bool),X4 : list(X1),X5 : list(X1)] : (pp(aa(X1,bool,X0,X3)) | ~sP554(X1,X0,X2,X3,X4,X5)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34468])).
% 59.37/10.01  tff(f34468,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1),X3 : X1,X4 : list(X1),X5 : list(X1)] : ((sP554(X1,X0,X2,X3,X4,X5) | (pp(aa(X1,bool,X0,sK2708(X1,X0,X2))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2708(X1,X0,X2)),aa(list(X1),set(X1),set2(X1),X2)))) | ~pp(aa(X1,bool,X0,X3)) | append(X1,X2,cons(X1,X3,X5)) != X4) & ((! [X7 : X1] : (~pp(aa(X1,bool,X0,X7)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X7),aa(list(X1),set(X1),set2(X1),X2)))) & pp(aa(X1,bool,X0,X3)) & append(X1,X2,cons(X1,X3,X5)) = X4) | ~sP554(X1,X0,X2,X3,X4,X5)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2708])],[f34466,f34467])).
% 59.37/10.01  tff(f34467,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X2 : list(X1)] : (? [X6 : X1] : (pp(aa(X1,bool,X0,X6)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),aa(list(X1),set(X1),set2(X1),X2)))) => (pp(aa(X1,bool,X0,sK2708(X1,X0,X2))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2708(X1,X0,X2)),aa(list(X1),set(X1),set2(X1),X2)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f34466,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1),X3 : X1,X4 : list(X1),X5 : list(X1)] : ((sP554(X1,X0,X2,X3,X4,X5) | ? [X6 : X1] : (pp(aa(X1,bool,X0,X6)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),aa(list(X1),set(X1),set2(X1),X2)))) | ~pp(aa(X1,bool,X0,X3)) | append(X1,X2,cons(X1,X3,X5)) != X4) & ((! [X7 : X1] : (~pp(aa(X1,bool,X0,X7)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X7),aa(list(X1),set(X1),set2(X1),X2)))) & pp(aa(X1,bool,X0,X3)) & append(X1,X2,cons(X1,X3,X5)) = X4) | ~sP554(X1,X0,X2,X3,X4,X5)))),
% 59.37/10.01    inference(rectify,[],[f34465])).
% 59.37/10.01  tff(f34465,plain,(
% 59.37/10.01    ! [X1 : fun(X0,bool),X0 : $tType,X3 : list(X0),X4 : X0,X2 : list(X0),X5 : list(X0)] : ((sP554(X0,X1,X3,X4,X2,X5) | ? [X6 : X0] : (pp(aa(X0,bool,X1,X6)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X3)))) | ~pp(aa(X0,bool,X1,X4)) | append(X0,X3,cons(X0,X4,X5)) != X2) & ((! [X6 : X0] : (~pp(aa(X0,bool,X1,X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X3)))) & pp(aa(X0,bool,X1,X4)) & append(X0,X3,cons(X0,X4,X5)) = X2) | ~sP554(X0,X1,X3,X4,X2,X5)))),
% 59.37/10.01    inference(flattening,[],[f34464])).
% 59.37/10.01  tff(f34464,plain,(
% 59.37/10.01    ! [X1 : fun(X0,bool),X0 : $tType,X3 : list(X0),X4 : X0,X2 : list(X0),X5 : list(X0)] : ((sP554(X0,X1,X3,X4,X2,X5) | (? [X6 : X0] : (pp(aa(X0,bool,X1,X6)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X3)))) | ~pp(aa(X0,bool,X1,X4)) | append(X0,X3,cons(X0,X4,X5)) != X2)) & ((! [X6 : X0] : (~pp(aa(X0,bool,X1,X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X3)))) & pp(aa(X0,bool,X1,X4)) & append(X0,X3,cons(X0,X4,X5)) = X2) | ~sP554(X0,X1,X3,X4,X2,X5)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27929])).
% 59.37/10.01  tff(f27929,plain,(
% 59.37/10.01    ! [X1 : fun(X0,bool),X0 : $tType,X3 : list(X0),X4 : X0,X2 : list(X0),X5 : list(X0)] : (sP554(X0,X1,X3,X4,X2,X5) <=> (! [X6 : X0] : (~pp(aa(X0,bool,X1,X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X3)))) & pp(aa(X0,bool,X1,X4)) & append(X0,X3,cons(X0,X4,X5)) = X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP554])])).
% 59.37/10.01  tff(f76329,plain,(
% 59.37/10.01    spl2737_2217),
% 59.37/10.01    inference(avatar_split_clause,[],[f50019,f76327])).
% 59.37/10.01  tff(f76327,plain,(
% 59.37/10.01    spl2737_2217 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) | ~sP538(X0,X3,X2,X1,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2217])])).
% 59.37/10.01  tff(f50019,plain,(
% 59.37/10.01    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) | ~sP538(X0,X3,X2,X1,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34289])).
% 59.37/10.01  tff(f34289,plain,(
% 59.37/10.01    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : ((vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) | ~sP538(X0,X3,X2,X1,X4)) & (sP538(X0,X3,X2,X1,X4) | ~vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27900])).
% 59.37/10.01  tff(f27900,plain,(
% 59.37/10.01    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> sP538(X0,X3,X2,X1,X4))),
% 59.37/10.01    inference(definition_folding,[],[f26853,f27899])).
% 59.37/10.01  tff(f27899,plain,(
% 59.37/10.01    ! [X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP538(X0,X3,X2,X1,X4) <=> (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X1),X2),X3)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X1 = X4))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP538])])).
% 59.37/10.01  tff(f26853,plain,(
% 59.37/10.01    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X1),X2),X3)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X1 = X4))),
% 59.37/10.01    inference(ennf_transformation,[],[f18144])).
% 59.37/10.01  tff(f18144,plain,(
% 59.37/10.01    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4) <=> (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X1),X2),X3)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X5 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => vEBT_VEBT_valid(X5,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & X1 = X4))),
% 59.37/10.01    inference(rectify,[],[f5231])).
% 59.37/10.01  tff(f5231,axiom,(
% 59.37/10.01    ! [X249 : option(product_prod(nat,nat)),X71 : nat,X72 : list(vEBT_VEBT),X73 : vEBT_VEBT,X250 : nat] : (vEBT_VEBT_valid(vEBT_Node(X249,X71,X72,X73),X250) <=> (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X73))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X72))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X71),X72),X73)),X249)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X72) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X71),divide_divide(nat,X71,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X73,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X71),divide_divide(nat,X71,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X72))) => vEBT_VEBT_valid(X115,divide_divide(nat,X71,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & X71 = X250))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5230_VEBT__internal_Ovalid_H_Osimps_I2_J)).
% 59.37/10.01  tff(f76325,plain,(
% 59.37/10.01    spl2737_2216),
% 59.37/10.01    inference(avatar_split_clause,[],[f50018,f76323])).
% 59.37/10.01  tff(f76323,plain,(
% 59.37/10.01    spl2737_2216 <=> ! [X2 : list(vEBT_VEBT),X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X1 : nat] : (sP538(X0,X3,X2,X1,X4) | ~vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2216])])).
% 59.37/10.01  tff(f50018,plain,(
% 59.37/10.01    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (sP538(X0,X3,X2,X1,X4) | ~vEBT_VEBT_valid(vEBT_Node(X0,X1,X2,X3),X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34289])).
% 59.37/10.01  tff(f76321,plain,(
% 59.37/10.01    spl2737_2215),
% 59.37/10.01    inference(avatar_split_clause,[],[f49848,f76319])).
% 59.37/10.01  tff(f76319,plain,(
% 59.37/10.01    spl2737_2215 <=> ! [X0 : $tType,X4 : fun(X0,X0),X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,X4,X2) = X2 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2215])])).
% 59.37/10.01  tff(f49848,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0)] : (aa(X0,X0,X4,X2) = X2 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f26734])).
% 59.37/10.01  tff(f26734,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (aa(X0,X0,X4,X2) = X2 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.37/10.01    inference(ennf_transformation,[],[f18056])).
% 59.37/10.01  tff(f18056,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) => aa(X0,X0,X4,X2) = X2)),
% 59.37/10.01    inference(rectify,[],[f7708])).
% 59.37/10.01  tff(f7708,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X327 : X0,X328 : X0,X329 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X32,X327,X328,X329) => aa(X0,X0,X329,X327) = X327)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7707_bounded__quasi__semilattice_Onormalize__top)).
% 59.37/10.01  tff(f76317,plain,(
% 59.37/10.01    spl2737_2214),
% 59.37/10.01    inference(avatar_split_clause,[],[f49847,f76315])).
% 59.37/10.01  tff(f76315,plain,(
% 59.37/10.01    spl2737_2214 <=> ! [X0 : $tType,X4 : fun(X0,X0),X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,X4,X3) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2214])])).
% 59.37/10.01  tff(f49847,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0)] : (aa(X0,X0,X4,X3) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f26733])).
% 59.37/10.01  tff(f26733,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (aa(X0,X0,X4,X3) = X3 | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.37/10.01    inference(ennf_transformation,[],[f18055])).
% 59.37/10.01  tff(f18055,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) => aa(X0,X0,X4,X3) = X3)),
% 59.37/10.01    inference(rectify,[],[f7705])).
% 59.37/10.01  tff(f7705,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X327 : X0,X328 : X0,X329 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X32,X327,X328,X329) => aa(X0,X0,X329,X328) = X328)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7704_bounded__quasi__semilattice_Onormalize__bottom)).
% 59.37/10.01  tff(f76313,plain,(
% 59.37/10.01    spl2737_2213),
% 59.37/10.01    inference(avatar_split_clause,[],[f49557,f76311])).
% 59.37/10.01  tff(f76311,plain,(
% 59.37/10.01    spl2737_2213 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | ~pp(X0) | ~pp(X1) | ~pp(X2) | ~pp(X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2213])])).
% 59.37/10.01  tff(f49557,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | ~pp(X0) | ~pp(X1) | ~pp(X2) | ~pp(X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34016])).
% 59.37/10.01  tff(f34016,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : bool,X2 : bool,X3 : bool] : ((sP523(X0,X1,X2,X3) | ((~pp(X0) | ~pp(X1)) & (pp(X0) | pp(X1))) | ((~pp(X2) | ~pp(X3)) & (pp(X2) | pp(X3)))) & (((pp(X1) | ~pp(X0)) & (pp(X0) | ~pp(X1)) & (pp(X3) | ~pp(X2)) & (pp(X2) | ~pp(X3))) | ~sP523(X0,X1,X2,X3)))),
% 59.37/10.01    inference(rectify,[],[f34015])).
% 59.37/10.01  tff(f34015,plain,(
% 59.37/10.01    ! [X3 : bool,X1 : bool,X2 : bool,X0 : bool] : ((sP523(X3,X1,X2,X0) | ((~pp(X3) | ~pp(X1)) & (pp(X3) | pp(X1))) | ((~pp(X2) | ~pp(X0)) & (pp(X2) | pp(X0)))) & (((pp(X1) | ~pp(X3)) & (pp(X3) | ~pp(X1)) & (pp(X0) | ~pp(X2)) & (pp(X2) | ~pp(X0))) | ~sP523(X3,X1,X2,X0)))),
% 59.37/10.01    inference(flattening,[],[f34014])).
% 59.37/10.01  tff(f34014,plain,(
% 59.37/10.01    ! [X3 : bool,X1 : bool,X2 : bool,X0 : bool] : ((sP523(X3,X1,X2,X0) | (((~pp(X3) | ~pp(X1)) & (pp(X3) | pp(X1))) | ((~pp(X2) | ~pp(X0)) & (pp(X2) | pp(X0))))) & ((((pp(X1) | ~pp(X3)) & (pp(X3) | ~pp(X1))) & ((pp(X0) | ~pp(X2)) & (pp(X2) | ~pp(X0)))) | ~sP523(X3,X1,X2,X0)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27870])).
% 59.37/10.01  tff(f27870,plain,(
% 59.37/10.01    ! [X3 : bool,X1 : bool,X2 : bool,X0 : bool] : (sP523(X3,X1,X2,X0) <=> ((pp(X1) <=> pp(X3)) & (pp(X0) <=> pp(X2))))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP523])])).
% 59.37/10.01  tff(f76309,plain,(
% 59.37/10.01    spl2737_2212),
% 59.37/10.01    inference(avatar_split_clause,[],[f49556,f76307])).
% 59.37/10.01  tff(f76307,plain,(
% 59.37/10.01    spl2737_2212 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | ~pp(X0) | ~pp(X1) | pp(X2) | pp(X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2212])])).
% 59.37/10.01  tff(f49556,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | ~pp(X0) | ~pp(X1) | pp(X2) | pp(X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34016])).
% 59.37/10.01  tff(f76305,plain,(
% 59.37/10.01    spl2737_2211 | ~spl2737_226 | ~spl2737_952),
% 59.37/10.01    inference(avatar_split_clause,[],[f69228,f68865,f65349,f76302])).
% 59.37/10.01  tff(f76302,plain,(
% 59.37/10.01    spl2737_2211 <=> sP181(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2211])])).
% 59.37/10.01  tff(f69228,plain,(
% 59.37/10.01    sP181(code_integer) | (~spl2737_226 | ~spl2737_952)),
% 59.37/10.01    inference(resolution,[],[f68866,f65351])).
% 59.37/10.01  tff(f76300,plain,(
% 59.37/10.01    spl2737_2210),
% 59.37/10.01    inference(avatar_split_clause,[],[f49555,f76298])).
% 59.37/10.01  tff(f76298,plain,(
% 59.37/10.01    spl2737_2210 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | pp(X0) | pp(X1) | ~pp(X2) | ~pp(X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2210])])).
% 59.37/10.01  tff(f49555,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | pp(X0) | pp(X1) | ~pp(X2) | ~pp(X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34016])).
% 59.37/10.01  tff(f76296,plain,(
% 59.37/10.01    spl2737_2209),
% 59.37/10.01    inference(avatar_split_clause,[],[f49554,f76294])).
% 59.37/10.01  tff(f76294,plain,(
% 59.37/10.01    spl2737_2209 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | pp(X0) | pp(X1) | pp(X2) | pp(X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2209])])).
% 59.37/10.01  tff(f49554,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (sP523(X0,X1,X2,X3) | pp(X0) | pp(X1) | pp(X2) | pp(X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34016])).
% 59.37/10.01  tff(f76292,plain,(
% 59.37/10.01    spl2737_2208),
% 59.37/10.01    inference(avatar_split_clause,[],[f49524,f76290])).
% 59.37/10.01  tff(f76290,plain,(
% 59.37/10.01    spl2737_2208 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2570(X0,X1,X2))) | ~sP521(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2208])])).
% 59.37/10.01  tff(f49524,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2570(X0,X1,X2))) | ~sP521(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33990])).
% 59.37/10.01  tff(f33990,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2570(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2570(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2570(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP521(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2570])],[f33988,f33989])).
% 59.37/10.01  tff(f33989,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2570(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2570(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2570(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33988,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP521(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33987])).
% 59.37/10.01  tff(f33987,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP521(X0,X2,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27867])).
% 59.37/10.01  tff(f27867,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP521(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP521])])).
% 59.37/10.01  tff(f76288,plain,(
% 59.37/10.01    spl2737_2207),
% 59.37/10.01    inference(avatar_split_clause,[],[f49521,f76286])).
% 59.37/10.01  tff(f76286,plain,(
% 59.37/10.01    spl2737_2207 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2569(X0,X1,X2))) | ~sP522(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2207])])).
% 59.37/10.01  tff(f49521,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2569(X0,X1,X2))) | ~sP522(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33986])).
% 59.37/10.01  tff(f33986,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2569(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2569(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2569(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP522(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2569])],[f33984,f33985])).
% 59.37/10.01  tff(f33985,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2569(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2569(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2569(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33984,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP522(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33983])).
% 59.37/10.01  tff(f33983,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP522(X0,X3,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27868])).
% 59.37/10.01  tff(f27868,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP522(X0,X3,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP522])])).
% 59.37/10.01  tff(f76284,plain,(
% 59.37/10.01    spl2737_2206),
% 59.37/10.01    inference(avatar_split_clause,[],[f49513,f76282])).
% 59.37/10.01  tff(f76282,plain,(
% 59.37/10.01    spl2737_2206 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2566(X0,X1,X2))) | ~sP518(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2206])])).
% 59.37/10.01  tff(f49513,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2566(X0,X1,X2))) | ~sP518(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33976])).
% 59.37/10.01  tff(f33976,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2566(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2566(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2566(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP518(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2566])],[f33974,f33975])).
% 59.37/10.01  tff(f33975,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2566(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2566(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2566(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33974,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP518(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33973])).
% 59.37/10.01  tff(f33973,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP518(X0,X2,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27863])).
% 59.37/10.01  tff(f27863,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),minus_minus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP518(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP518])])).
% 59.37/10.01  tff(f76280,plain,(
% 59.37/10.01    spl2737_2205),
% 59.37/10.01    inference(avatar_split_clause,[],[f49510,f76278])).
% 59.37/10.01  tff(f76278,plain,(
% 59.37/10.01    spl2737_2205 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2565(X0,X1,X2))) | ~sP519(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2205])])).
% 59.37/10.01  tff(f49510,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2565(X0,X1,X2))) | ~sP519(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33972])).
% 59.37/10.01  tff(f33972,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2565(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2565(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2565(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP519(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2565])],[f33970,f33971])).
% 59.37/10.01  tff(f33971,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2565(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2565(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2565(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33970,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP519(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33969])).
% 59.37/10.01  tff(f33969,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP519(X0,X3,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27864])).
% 59.37/10.01  tff(f27864,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),minus_minus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP519(X0,X3,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP519])])).
% 59.37/10.01  tff(f76276,plain,(
% 59.37/10.01    spl2737_2204),
% 59.37/10.01    inference(avatar_split_clause,[],[f49502,f76274])).
% 59.37/10.01  tff(f76274,plain,(
% 59.37/10.01    spl2737_2204 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2562(X0,X1,X2))) | ~sP515(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2204])])).
% 59.37/10.01  tff(f49502,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2562(X0,X1,X2))) | ~sP515(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33962])).
% 59.37/10.01  tff(f33962,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2562(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2562(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2562(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP515(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2562])],[f33960,f33961])).
% 59.37/10.01  tff(f33961,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2562(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2562(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2562(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33960,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP515(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33959])).
% 59.37/10.01  tff(f33959,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP515(X0,X2,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27859])).
% 59.37/10.01  tff(f27859,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP515(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP515])])).
% 59.37/10.01  tff(f76272,plain,(
% 59.37/10.01    spl2737_2203),
% 59.37/10.01    inference(avatar_split_clause,[],[f49499,f76270])).
% 59.37/10.01  tff(f76270,plain,(
% 59.37/10.01    spl2737_2203 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2561(X0,X1,X2))) | ~sP516(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2203])])).
% 59.37/10.01  tff(f49499,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2561(X0,X1,X2))) | ~sP516(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33958])).
% 59.37/10.01  tff(f33958,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2561(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2561(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2561(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP516(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2561])],[f33956,f33957])).
% 59.37/10.01  tff(f33957,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2561(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2561(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2561(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33956,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP516(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33955])).
% 59.37/10.01  tff(f33955,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP516(X0,X3,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27860])).
% 59.37/10.01  tff(f27860,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP516(X0,X3,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP516])])).
% 59.37/10.01  tff(f76268,plain,(
% 59.37/10.01    spl2737_2202),
% 59.37/10.01    inference(avatar_split_clause,[],[f49491,f76266])).
% 59.37/10.01  tff(f76266,plain,(
% 59.37/10.01    spl2737_2202 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2558(X0,X1,X2))) | ~sP512(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2202])])).
% 59.37/10.01  tff(f49491,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2558(X0,X1,X2))) | ~sP512(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33948])).
% 59.37/10.01  tff(f33948,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2558(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2558(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2558(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP512(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2558])],[f33946,f33947])).
% 59.37/10.01  tff(f33947,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2558(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2558(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2558(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33946,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP512(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33945])).
% 59.37/10.01  tff(f33945,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP512(X0,X2,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27855])).
% 59.37/10.01  tff(f27855,plain,(
% 59.37/10.01    ! [X0 : int,X2 : fun(int,bool),X1 : set(int)] : (? [X4 : int] : (~pp(aa(int,bool,X2,aa(int,int,aa(int,fun(int,int),plus_plus(int),X4),X0))) & pp(aa(int,bool,X2,X4)) & ! [X5 : int] : (! [X6 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X5) != X4 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X6),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP512(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP512])])).
% 59.37/10.01  tff(f76264,plain,(
% 59.37/10.01    spl2737_2201),
% 59.37/10.01    inference(avatar_split_clause,[],[f49488,f76262])).
% 59.37/10.01  tff(f76262,plain,(
% 59.37/10.01    spl2737_2201 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2557(X0,X1,X2))) | ~sP513(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2201])])).
% 59.37/10.01  tff(f49488,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2557(X0,X1,X2))) | ~sP513(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33944])).
% 59.37/10.01  tff(f33944,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2557(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2557(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2557(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP513(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2557])],[f33942,f33943])).
% 59.37/10.01  tff(f33943,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2557(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2557(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2557(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33942,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP513(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33941])).
% 59.37/10.01  tff(f33941,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP513(X0,X3,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27856])).
% 59.37/10.01  tff(f27856,plain,(
% 59.37/10.01    ! [X0 : int,X3 : fun(int,bool),X1 : set(int)] : (? [X7 : int] : (~pp(aa(int,bool,X3,aa(int,int,aa(int,fun(int,int),plus_plus(int),X7),X0))) & pp(aa(int,bool,X3,X7)) & ! [X8 : int] : (! [X9 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X9),X8) != X7 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X9),X1))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP513(X0,X3,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP513])])).
% 59.37/10.01  tff(f76260,plain,(
% 59.37/10.01    spl2737_2200 | ~spl2737_229 | ~spl2737_951),
% 59.37/10.01    inference(avatar_split_clause,[],[f69227,f68861,f65364,f76257])).
% 59.37/10.01  tff(f76257,plain,(
% 59.37/10.01    spl2737_2200 <=> sP179(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2200])])).
% 59.37/10.01  tff(f68861,plain,(
% 59.37/10.01    spl2737_951 <=> ! [X0 : $tType] : (sP179(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_951])])).
% 59.37/10.01  tff(f69227,plain,(
% 59.37/10.01    sP179(int) | (~spl2737_229 | ~spl2737_951)),
% 59.37/10.01    inference(resolution,[],[f68862,f65366])).
% 59.37/10.01  tff(f68862,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP179(X0)) ) | ~spl2737_951),
% 59.37/10.01    inference(avatar_component_clause,[],[f68861])).
% 59.37/10.01  tff(f76255,plain,(
% 59.37/10.01    spl2737_2199),
% 59.37/10.01    inference(avatar_split_clause,[],[f49452,f76253])).
% 59.37/10.01  tff(f76253,plain,(
% 59.37/10.01    spl2737_2199 <=> ! [X1 : $tType,X2 : fun(X1,nat),X0 : fun(X1,bool)] : (~pp(aa(X1,bool,X0,sK2542(X1,X0,X2))) | ~sP508(X1,X0,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2199])])).
% 59.37/10.01  tff(f49452,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : fun(X1,nat),X0 : fun(X1,bool)] : (~pp(aa(X1,bool,X0,sK2542(X1,X0,X2))) | ~sP508(X1,X0,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33907])).
% 59.37/10.01  tff(f33907,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : fun(X1,nat)] : ((! [X4 : X1] : (pp(aa(X1,bool,X0,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,sK2542(X1,X0,X2))))) & ~pp(aa(X1,bool,X0,sK2542(X1,X0,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,sK2542(X1,X0,X2))))) | ~sP508(X1,X0,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2542])],[f33905,f33906])).
% 59.37/10.01  tff(f33906,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X2 : fun(X1,nat)] : (? [X3 : X1] : (! [X4 : X1] : (pp(aa(X1,bool,X0,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,X3)))) & ~pp(aa(X1,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,X3)))) => (! [X4 : X1] : (pp(aa(X1,bool,X0,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,sK2542(X1,X0,X2))))) & ~pp(aa(X1,bool,X0,sK2542(X1,X0,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,sK2542(X1,X0,X2))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33905,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : fun(X1,nat)] : (? [X3 : X1] : (! [X4 : X1] : (pp(aa(X1,bool,X0,X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X1,nat,X2,X4)),aa(X1,nat,X2,X3)))) & ~pp(aa(X1,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(X1,nat,X2,X3)))) | ~sP508(X1,X0,X2))),
% 59.37/10.01    inference(rectify,[],[f33904])).
% 59.37/10.01  tff(f33904,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : fun(X0,nat)] : (? [X5 : X0] : (! [X6 : X0] : (pp(aa(X0,bool,X2,X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X1,X6)),aa(X0,nat,X1,X5)))) & ~pp(aa(X0,bool,X2,X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(X0,nat,X1,X5)))) | ~sP508(X0,X2,X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27848])).
% 59.37/10.01  tff(f27848,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : fun(X0,nat)] : (? [X5 : X0] : (! [X6 : X0] : (pp(aa(X0,bool,X2,X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(X0,nat,X1,X6)),aa(X0,nat,X1,X5)))) & ~pp(aa(X0,bool,X2,X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),aa(X0,nat,X1,X5)))) | ~sP508(X0,X2,X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP508])])).
% 59.37/10.01  tff(f76251,plain,(
% 59.37/10.01    spl2737_2198),
% 59.37/10.01    inference(avatar_split_clause,[],[f49325,f76249])).
% 59.37/10.01  tff(f76249,plain,(
% 59.37/10.01    spl2737_2198 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2512(X0,X1,X2))) | ~sP505(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2198])])).
% 59.37/10.01  tff(f49325,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2512(X0,X1,X2))) | ~sP505(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33833])).
% 59.37/10.01  tff(f33833,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2512(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2512(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2512(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP505(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2512])],[f33831,f33832])).
% 59.37/10.01  tff(f33832,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),sK2512(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2512(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != sK2512(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33831,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP505(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33830])).
% 59.37/10.01  tff(f33830,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X3 : set(int)] : (? [X6 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X0))) & pp(aa(int,bool,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X8),X7) != X6 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),X3))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X7),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP505(X0,X1,X3))),
% 59.37/10.01    inference(nnf_transformation,[],[f27843])).
% 59.37/10.01  tff(f27843,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X3 : set(int)] : (? [X6 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),minus_minus(int),X6),X0))) & pp(aa(int,bool,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),X8),X7) != X6 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),X3))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X7),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP505(X0,X1,X3))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP505])])).
% 59.37/10.01  tff(f76247,plain,(
% 59.37/10.01    spl2737_2197),
% 59.37/10.01    inference(avatar_split_clause,[],[f49309,f76245])).
% 59.37/10.01  tff(f76245,plain,(
% 59.37/10.01    spl2737_2197 <=> ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2504(X0,X1,X2))) | ~sP501(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2197])])).
% 59.37/10.01  tff(f49309,plain,(
% 59.37/10.01    ( ! [X2 : set(int),X0 : int,X1 : fun(int,bool)] : (pp(aa(int,bool,X1,sK2504(X0,X1,X2))) | ~sP501(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33809])).
% 59.37/10.01  tff(f33809,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : ((~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2504(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2504(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2504(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP501(X0,X1,X2))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2504])],[f33807,f33808])).
% 59.37/10.01  tff(f33808,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) => (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),sK2504(X0,X1,X2)),X0))) & pp(aa(int,bool,X1,sK2504(X0,X1,X2))) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != sK2504(X0,X1,X2) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33807,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X2 : set(int)] : (? [X3 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X3),X0))) & pp(aa(int,bool,X1,X3)) & ! [X4 : int] : (! [X5 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X5),X4) != X3 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X5),X2))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X4),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP501(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33806])).
% 59.37/10.01  tff(f33806,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X3 : set(int)] : (? [X6 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X0))) & pp(aa(int,bool,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X8),X7) != X6 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),X3))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X7),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP501(X0,X1,X3))),
% 59.37/10.01    inference(nnf_transformation,[],[f27838])).
% 59.37/10.01  tff(f27838,plain,(
% 59.37/10.01    ! [X0 : int,X1 : fun(int,bool),X3 : set(int)] : (? [X6 : int] : (~pp(aa(int,bool,X1,aa(int,int,aa(int,fun(int,int),plus_plus(int),X6),X0))) & pp(aa(int,bool,X1,X6)) & ! [X7 : int] : (! [X8 : int] : (aa(int,int,aa(int,fun(int,int),minus_minus(int),X8),X7) != X6 | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X8),X3))) | ~pp(aa(set(int),bool,aa(int,fun(set(int),bool),member(int),X7),set_or1337092689740270186AtMost(int,one_one(int),X0))))) | ~sP501(X0,X1,X3))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP501])])).
% 59.37/10.01  tff(f76243,plain,(
% 59.37/10.01    spl2737_2196),
% 59.37/10.01    inference(avatar_split_clause,[],[f49170,f76241])).
% 59.37/10.01  tff(f76241,plain,(
% 59.37/10.01    spl2737_2196 <=> ! [X0 : $tType,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (group(X0,X1,X2,X3) | ~group_axioms(X0,X1,X2,X3) | ~semigroup(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2196])])).
% 59.37/10.01  tff(f49170,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0))] : (group(X0,X1,X2,X3) | ~group_axioms(X0,X1,X2,X3) | ~semigroup(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f26373])).
% 59.37/10.01  tff(f26373,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (group(X0,X1,X2,X3) | ~group_axioms(X0,X1,X2,X3) | ~semigroup(X0,X1))),
% 59.37/10.01    inference(flattening,[],[f26372])).
% 59.37/10.01  tff(f26372,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : ((group(X0,X1,X2,X3) | ~group_axioms(X0,X1,X2,X3)) | ~semigroup(X0,X1))),
% 59.37/10.01    inference(ennf_transformation,[],[f17744])).
% 59.37/10.01  tff(f17744,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (semigroup(X0,X1) => (group_axioms(X0,X1,X2,X3) => group(X0,X1,X2,X3)))),
% 59.37/10.01    inference(rectify,[],[f8048])).
% 59.37/10.01  tff(f8048,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X346 : fun(X0,X0)] : (semigroup(X0,X32) => (group_axioms(X0,X32,X60,X346) => group(X0,X32,X60,X346)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8047_group_Ointro)).
% 59.37/10.01  tff(f76239,plain,(
% 59.37/10.01    spl2737_2195),
% 59.37/10.01    inference(avatar_split_clause,[],[f48976,f76237])).
% 59.37/10.01  tff(f76237,plain,(
% 59.37/10.01    spl2737_2195 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2461(X1,X0,X2))) | ~sP490(X1,X0,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2195])])).
% 59.37/10.01  tff(f48976,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2461(X1,X0,X2))) | ~sP490(X1,X0,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33694])).
% 59.37/10.01  tff(f33694,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP490(X1,X0,X2) | ! [X3 : X1] : (~pp(aa(X1,bool,X0,X3)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),aa(list(X1),set(X1),set2(X1),X2))))) & ((pp(aa(X1,bool,X0,sK2461(X1,X0,X2))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2461(X1,X0,X2)),aa(list(X1),set(X1),set2(X1),X2)))) | ~sP490(X1,X0,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2461])],[f33692,f33693])).
% 59.37/10.01  tff(f33693,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X2 : list(X1)] : (? [X4 : X1] : (pp(aa(X1,bool,X0,X4)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),aa(list(X1),set(X1),set2(X1),X2)))) => (pp(aa(X1,bool,X0,sK2461(X1,X0,X2))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2461(X1,X0,X2)),aa(list(X1),set(X1),set2(X1),X2)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33692,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP490(X1,X0,X2) | ! [X3 : X1] : (~pp(aa(X1,bool,X0,X3)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),aa(list(X1),set(X1),set2(X1),X2))))) & (? [X4 : X1] : (pp(aa(X1,bool,X0,X4)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),aa(list(X1),set(X1),set2(X1),X2)))) | ~sP490(X1,X0,X2)))),
% 59.37/10.01    inference(rectify,[],[f33691])).
% 59.37/10.01  tff(f33691,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : ((sP490(X0,X2,X1) | ! [X3 : X0] : (~pp(aa(X0,bool,X2,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1))))) & (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~sP490(X0,X2,X1)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27820])).
% 59.37/10.01  tff(f27820,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP490(X0,X2,X1) <=> ? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP490])])).
% 59.37/10.01  tff(f76235,plain,(
% 59.37/10.01    spl2737_2194),
% 59.37/10.01    inference(avatar_split_clause,[],[f48971,f76233])).
% 59.37/10.01  tff(f76233,plain,(
% 59.37/10.01    spl2737_2194 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2459(X1,X0,X2))) | ~sP491(X1,X0,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2194])])).
% 59.37/10.01  tff(f48971,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2459(X1,X0,X2))) | ~sP491(X1,X0,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33690])).
% 59.37/10.01  tff(f33690,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP491(X1,X0,X2) | ! [X3 : list(X1),X4 : X1,X5 : list(X1)] : ((pp(aa(X1,bool,X0,sK2457(X1,X0,X5))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2457(X1,X0,X5)),aa(list(X1),set(X1),set2(X1),X5)))) | ~pp(aa(X1,bool,X0,X4)) | append(X1,X3,cons(X1,X4,X5)) != X2)) & ((! [X10 : X1] : (~pp(aa(X1,bool,X0,X10)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X10),aa(list(X1),set(X1),set2(X1),sK2460(X1,X0,X2))))) & pp(aa(X1,bool,X0,sK2459(X1,X0,X2))) & append(X1,sK2458(X1,X0,X2),cons(X1,sK2459(X1,X0,X2),sK2460(X1,X0,X2))) = X2) | ~sP491(X1,X0,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2457,sK2458,sK2459,sK2460])],[f33687,f33689,f33688])).
% 59.37/10.01  tff(f33688,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X5 : list(X1)] : (? [X6 : X1] : (pp(aa(X1,bool,X0,X6)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),aa(list(X1),set(X1),set2(X1),X5)))) => (pp(aa(X1,bool,X0,sK2457(X1,X0,X5))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2457(X1,X0,X5)),aa(list(X1),set(X1),set2(X1),X5)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33689,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X2 : list(X1)] : (? [X7 : list(X1),X8 : X1,X9 : list(X1)] : (! [X10 : X1] : (~pp(aa(X1,bool,X0,X10)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X10),aa(list(X1),set(X1),set2(X1),X9)))) & pp(aa(X1,bool,X0,X8)) & append(X1,X7,cons(X1,X8,X9)) = X2) => (! [X10 : X1] : (~pp(aa(X1,bool,X0,X10)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X10),aa(list(X1),set(X1),set2(X1),sK2460(X1,X0,X2))))) & pp(aa(X1,bool,X0,sK2459(X1,X0,X2))) & append(X1,sK2458(X1,X0,X2),cons(X1,sK2459(X1,X0,X2),sK2460(X1,X0,X2))) = X2))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33687,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP491(X1,X0,X2) | ! [X3 : list(X1),X4 : X1,X5 : list(X1)] : (? [X6 : X1] : (pp(aa(X1,bool,X0,X6)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),aa(list(X1),set(X1),set2(X1),X5)))) | ~pp(aa(X1,bool,X0,X4)) | append(X1,X3,cons(X1,X4,X5)) != X2)) & (? [X7 : list(X1),X8 : X1,X9 : list(X1)] : (! [X10 : X1] : (~pp(aa(X1,bool,X0,X10)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X10),aa(list(X1),set(X1),set2(X1),X9)))) & pp(aa(X1,bool,X0,X8)) & append(X1,X7,cons(X1,X8,X9)) = X2) | ~sP491(X1,X0,X2)))),
% 59.37/10.01    inference(rectify,[],[f33686])).
% 59.37/10.01  tff(f33686,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : ((sP491(X0,X2,X1) | ! [X4 : list(X0),X5 : X0,X6 : list(X0)] : (? [X7 : X0] : (pp(aa(X0,bool,X2,X7)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X6)))) | ~pp(aa(X0,bool,X2,X5)) | append(X0,X4,cons(X0,X5,X6)) != X1)) & (? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (~pp(aa(X0,bool,X2,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X6)))) & pp(aa(X0,bool,X2,X5)) & append(X0,X4,cons(X0,X5,X6)) = X1) | ~sP491(X0,X2,X1)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27821])).
% 59.37/10.01  tff(f27821,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP491(X0,X2,X1) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (~pp(aa(X0,bool,X2,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X6)))) & pp(aa(X0,bool,X2,X5)) & append(X0,X4,cons(X0,X5,X6)) = X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP491])])).
% 59.37/10.01  tff(f76231,plain,(
% 59.37/10.01    spl2737_2193),
% 59.37/10.01    inference(avatar_split_clause,[],[f48966,f76229])).
% 59.37/10.01  tff(f76229,plain,(
% 59.37/10.01    spl2737_2193 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2456(X1,X0,X2))) | ~sP488(X1,X0,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2193])])).
% 59.37/10.01  tff(f48966,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2456(X1,X0,X2))) | ~sP488(X1,X0,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33684])).
% 59.37/10.01  tff(f33684,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP488(X1,X0,X2) | ! [X3 : X1] : (~pp(aa(X1,bool,X0,X3)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),aa(list(X1),set(X1),set2(X1),X2))))) & ((pp(aa(X1,bool,X0,sK2456(X1,X0,X2))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2456(X1,X0,X2)),aa(list(X1),set(X1),set2(X1),X2)))) | ~sP488(X1,X0,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2456])],[f33682,f33683])).
% 59.37/10.01  tff(f33683,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X2 : list(X1)] : (? [X4 : X1] : (pp(aa(X1,bool,X0,X4)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),aa(list(X1),set(X1),set2(X1),X2)))) => (pp(aa(X1,bool,X0,sK2456(X1,X0,X2))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2456(X1,X0,X2)),aa(list(X1),set(X1),set2(X1),X2)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33682,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP488(X1,X0,X2) | ! [X3 : X1] : (~pp(aa(X1,bool,X0,X3)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),aa(list(X1),set(X1),set2(X1),X2))))) & (? [X4 : X1] : (pp(aa(X1,bool,X0,X4)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),aa(list(X1),set(X1),set2(X1),X2)))) | ~sP488(X1,X0,X2)))),
% 59.37/10.01    inference(rectify,[],[f33681])).
% 59.37/10.01  tff(f33681,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : ((sP488(X0,X2,X1) | ! [X3 : X0] : (~pp(aa(X0,bool,X2,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1))))) & (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~sP488(X0,X2,X1)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27817])).
% 59.37/10.01  tff(f27817,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP488(X0,X2,X1) <=> ? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP488])])).
% 59.37/10.01  tff(f76227,plain,(
% 59.37/10.01    spl2737_2192),
% 59.37/10.01    inference(avatar_split_clause,[],[f48961,f76225])).
% 59.37/10.01  tff(f76225,plain,(
% 59.37/10.01    spl2737_2192 <=> ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2454(X1,X0,X2))) | ~sP489(X1,X0,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2192])])).
% 59.37/10.01  tff(f48961,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : list(X1),X0 : fun(X1,bool)] : (pp(aa(X1,bool,X0,sK2454(X1,X0,X2))) | ~sP489(X1,X0,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33680])).
% 59.37/10.01  tff(f33680,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP489(X1,X0,X2) | ! [X3 : list(X1),X4 : X1] : ((pp(aa(X1,bool,X0,sK2452(X1,X0,X3))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2452(X1,X0,X3)),aa(list(X1),set(X1),set2(X1),X3)))) | ~pp(aa(X1,bool,X0,X4)) | ! [X6 : list(X1)] : append(X1,X3,cons(X1,X4,X6)) != X2)) & ((! [X9 : X1] : (~pp(aa(X1,bool,X0,X9)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X9),aa(list(X1),set(X1),set2(X1),sK2453(X1,X0,X2))))) & pp(aa(X1,bool,X0,sK2454(X1,X0,X2))) & append(X1,sK2453(X1,X0,X2),cons(X1,sK2454(X1,X0,X2),sK2455(X1,X0,X2))) = X2) | ~sP489(X1,X0,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2452,sK2453,sK2454,sK2455])],[f33676,f33679,f33678,f33677])).
% 59.37/10.01  tff(f33677,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X3 : list(X1)] : (? [X5 : X1] : (pp(aa(X1,bool,X0,X5)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),aa(list(X1),set(X1),set2(X1),X3)))) => (pp(aa(X1,bool,X0,sK2452(X1,X0,X3))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2452(X1,X0,X3)),aa(list(X1),set(X1),set2(X1),X3)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33678,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X2 : list(X1)] : (? [X7 : list(X1),X8 : X1] : (! [X9 : X1] : (~pp(aa(X1,bool,X0,X9)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X9),aa(list(X1),set(X1),set2(X1),X7)))) & pp(aa(X1,bool,X0,X8)) & ? [X10 : list(X1)] : append(X1,X7,cons(X1,X8,X10)) = X2) => (! [X9 : X1] : (~pp(aa(X1,bool,X0,X9)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X9),aa(list(X1),set(X1),set2(X1),sK2453(X1,X0,X2))))) & pp(aa(X1,bool,X0,sK2454(X1,X0,X2))) & ? [X10 : list(X1)] : append(X1,sK2453(X1,X0,X2),cons(X1,sK2454(X1,X0,X2),X10)) = X2))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33679,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : fun(X1,bool),X2 : list(X1)] : (? [X10 : list(X1)] : append(X1,sK2453(X1,X0,X2),cons(X1,sK2454(X1,X0,X2),X10)) = X2 => append(X1,sK2453(X1,X0,X2),cons(X1,sK2454(X1,X0,X2),sK2455(X1,X0,X2))) = X2)),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33676,plain,(
% 59.37/10.01    ! [X0 : fun(X1,bool),X1 : $tType,X2 : list(X1)] : ((sP489(X1,X0,X2) | ! [X3 : list(X1),X4 : X1] : (? [X5 : X1] : (pp(aa(X1,bool,X0,X5)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),aa(list(X1),set(X1),set2(X1),X3)))) | ~pp(aa(X1,bool,X0,X4)) | ! [X6 : list(X1)] : append(X1,X3,cons(X1,X4,X6)) != X2)) & (? [X7 : list(X1),X8 : X1] : (! [X9 : X1] : (~pp(aa(X1,bool,X0,X9)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X9),aa(list(X1),set(X1),set2(X1),X7)))) & pp(aa(X1,bool,X0,X8)) & ? [X10 : list(X1)] : append(X1,X7,cons(X1,X8,X10)) = X2) | ~sP489(X1,X0,X2)))),
% 59.37/10.01    inference(rectify,[],[f33675])).
% 59.37/10.01  tff(f33675,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : ((sP489(X0,X2,X1) | ! [X4 : list(X0),X5 : X0] : (? [X6 : X0] : (pp(aa(X0,bool,X2,X6)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X4)))) | ~pp(aa(X0,bool,X2,X5)) | ! [X7 : list(X0)] : append(X0,X4,cons(X0,X5,X7)) != X1)) & (? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (~pp(aa(X0,bool,X2,X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X4)))) & pp(aa(X0,bool,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,cons(X0,X5,X7)) = X1) | ~sP489(X0,X2,X1)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27818])).
% 59.37/10.01  tff(f27818,plain,(
% 59.37/10.01    ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP489(X0,X2,X1) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (~pp(aa(X0,bool,X2,X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X4)))) & pp(aa(X0,bool,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,cons(X0,X5,X7)) = X1))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP489])])).
% 59.37/10.01  tff(f76223,plain,(
% 59.37/10.01    spl2737_2191),
% 59.37/10.01    inference(avatar_split_clause,[],[f48959,f76221])).
% 59.37/10.01  tff(f76221,plain,(
% 59.37/10.01    spl2737_2191 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (pp(aa(X0,bool,X2,sK2451(X0,X1,X2))) | ~list_ex(X0,X2,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2191])])).
% 59.37/10.01  tff(f48959,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (pp(aa(X0,bool,X2,sK2451(X0,X1,X2))) | ~list_ex(X0,X2,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33674])).
% 59.37/10.01  tff(f33674,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (((pp(aa(X0,bool,X2,sK2451(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2451(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X1)))) | ~list_ex(X0,X2,X1)) & (list_ex(X0,X2,X1) | ! [X4 : X0] : (~pp(aa(X0,bool,X2,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1))))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2451])],[f33672,f33673])).
% 59.37/10.01  tff(f33673,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) => (pp(aa(X0,bool,X2,sK2451(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2451(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X1)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33672,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~list_ex(X0,X2,X1)) & (list_ex(X0,X2,X1) | ! [X4 : X0] : (~pp(aa(X0,bool,X2,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1))))))),
% 59.37/10.01    inference(rectify,[],[f33671])).
% 59.37/10.01  tff(f33671,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~list_ex(X0,X2,X1)) & (list_ex(X0,X2,X1) | ! [X3 : X0] : (~pp(aa(X0,bool,X2,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1))))))),
% 59.37/10.01    inference(nnf_transformation,[],[f17593])).
% 59.37/10.01  tff(f17593,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) <=> list_ex(X0,X2,X1))),
% 59.37/10.01    inference(rectify,[],[f8080])).
% 59.37/10.01  tff(f8080,axiom,(
% 59.37/10.01    ! [X0 : $tType,X123 : list(X0),X17 : fun(X0,bool)] : (? [X115 : X0] : (pp(aa(X0,bool,X17,X115)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123)))) <=> list_ex(X0,X17,X123))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8079_Bex__set__list__ex)).
% 59.37/10.01  tff(f76219,plain,(
% 59.37/10.01    spl2737_2190),
% 59.37/10.01    inference(avatar_split_clause,[],[f48951,f76217])).
% 59.37/10.01  tff(f76217,plain,(
% 59.37/10.01    spl2737_2190 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (list_all(X0,X2,X1) | ~pp(aa(X0,bool,X2,sK2448(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2190])])).
% 59.37/10.01  tff(f48951,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (list_all(X0,X2,X1) | ~pp(aa(X0,bool,X2,sK2448(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33665])).
% 59.37/10.01  tff(f33665,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((! [X3 : X0] : (pp(aa(X0,bool,X2,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~list_all(X0,X2,X1)) & (list_all(X0,X2,X1) | (~pp(aa(X0,bool,X2,sK2448(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2448(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X1))))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2448])],[f33663,f33664])).
% 59.37/10.01  tff(f33664,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (? [X4 : X0] : (~pp(aa(X0,bool,X2,X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1)))) => (~pp(aa(X0,bool,X2,sK2448(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2448(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X1)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33663,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((! [X3 : X0] : (pp(aa(X0,bool,X2,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~list_all(X0,X2,X1)) & (list_all(X0,X2,X1) | ? [X4 : X0] : (~pp(aa(X0,bool,X2,X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1))))))),
% 59.37/10.01    inference(rectify,[],[f33662])).
% 59.37/10.01  tff(f33662,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((! [X3 : X0] : (pp(aa(X0,bool,X2,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~list_all(X0,X2,X1)) & (list_all(X0,X2,X1) | ? [X3 : X0] : (~pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1))))))),
% 59.37/10.01    inference(nnf_transformation,[],[f26322])).
% 59.37/10.01  tff(f26322,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (! [X3 : X0] : (pp(aa(X0,bool,X2,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) <=> list_all(X0,X2,X1))),
% 59.37/10.01    inference(ennf_transformation,[],[f17591])).
% 59.37/10.01  tff(f17591,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1))) => pp(aa(X0,bool,X2,X3))) <=> list_all(X0,X2,X1))),
% 59.37/10.01    inference(rectify,[],[f7976])).
% 59.37/10.01  tff(f7976,axiom,(
% 59.37/10.01    ! [X0 : $tType,X123 : list(X0),X17 : fun(X0,bool)] : (! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123))) => pp(aa(X0,bool,X17,X115))) <=> list_all(X0,X17,X123))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7975_Ball__set__list__all)).
% 59.37/10.01  tff(f76215,plain,(
% 59.37/10.01    spl2737_2189 | ~spl2737_227 | ~spl2737_951),
% 59.37/10.01    inference(avatar_split_clause,[],[f69226,f68861,f65354,f76212])).
% 59.37/10.01  tff(f76212,plain,(
% 59.37/10.01    spl2737_2189 <=> sP179(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2189])])).
% 59.37/10.01  tff(f69226,plain,(
% 59.37/10.01    sP179(rat) | (~spl2737_227 | ~spl2737_951)),
% 59.37/10.01    inference(resolution,[],[f68862,f65356])).
% 59.37/10.01  tff(f76210,plain,(
% 59.37/10.01    spl2737_2188),
% 59.37/10.01    inference(avatar_split_clause,[],[f48577,f76208])).
% 59.37/10.01  tff(f76208,plain,(
% 59.37/10.01    spl2737_2188 <=> ! [X2 : nat,X0 : fun(real,bool),X1 : real] : (sP478(X0,X1,X2) | ~pp(aa(real,bool,X0,sK2400(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2188])])).
% 59.37/10.01  tff(f48577,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : fun(real,bool),X1 : real] : (sP478(X0,X1,X2) | ~pp(aa(real,bool,X0,sK2400(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33385])).
% 59.37/10.01  tff(f76206,plain,(
% 59.37/10.01    spl2737_2187),
% 59.37/10.01    inference(avatar_split_clause,[],[f48564,f76204])).
% 59.37/10.01  tff(f76204,plain,(
% 59.37/10.01    spl2737_2187 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | ~sP476(X0,X2,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2187])])).
% 59.37/10.01  tff(f48564,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))) | ~sP476(X0,X2,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33375])).
% 59.37/10.01  tff(f76202,plain,(
% 59.37/10.01    spl2737_2186),
% 59.37/10.01    inference(avatar_split_clause,[],[f48559,f76200])).
% 59.37/10.01  tff(f76200,plain,(
% 59.37/10.01    spl2737_2186 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,sK2399(X0,X1,X2))) | ~sP476(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2186])])).
% 59.37/10.01  tff(f48559,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,sK2399(X0,X1,X2))) | ~sP476(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33373])).
% 59.37/10.01  tff(f33373,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP476(X0,X1,X2) | ! [X3 : nat] : (~pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X3)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),X2)))) & ((pp(aa(nat,bool,X0,sK2399(X0,X1,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,sK2399(X0,X1,X2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2399(X0,X1,X2))),X2))) | ~sP476(X0,X1,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2399])],[f33371,f33372])).
% 59.37/10.01  tff(f33372,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (? [X4 : nat] : (pp(aa(nat,bool,X0,X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X4)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X2))) => (pp(aa(nat,bool,X0,sK2399(X0,X1,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,sK2399(X0,X1,X2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2399(X0,X1,X2))),X2))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33371,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP476(X0,X1,X2) | ! [X3 : nat] : (~pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X3)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X3)),X2)))) & (? [X4 : nat] : (pp(aa(nat,bool,X0,X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),aa(nat,nat,suc,X4)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),X4)),X2))) | ~sP476(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f33370])).
% 59.37/10.01  tff(f33370,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X2 : nat,X1 : nat] : ((sP476(X0,X2,X1) | ! [X3 : nat] : (~pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1)))) & (? [X3 : nat] : (pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),aa(nat,nat,suc,X3)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X1))) | ~sP476(X0,X2,X1)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27793])).
% 59.37/10.01  tff(f76198,plain,(
% 59.37/10.01    spl2737_2185),
% 59.37/10.01    inference(avatar_split_clause,[],[f48554,f76196])).
% 59.37/10.01  tff(f76196,plain,(
% 59.37/10.01    spl2737_2185 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP475(X0,X1,X2) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2185])])).
% 59.37/10.01  tff(f48554,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP475(X0,X1,X2) | ~pp(aa(nat,bool,X0,divide_divide(nat,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33369])).
% 59.37/10.01  tff(f76194,plain,(
% 59.37/10.01    spl2737_2184),
% 59.37/10.01    inference(avatar_split_clause,[],[f48552,f76192])).
% 59.37/10.01  tff(f76192,plain,(
% 59.37/10.01    spl2737_2184 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP475(X0,X1,X2) | ~pp(aa(nat,bool,X0,sK2397(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2184])])).
% 59.37/10.01  tff(f48552,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP475(X0,X1,X2) | ~pp(aa(nat,bool,X0,sK2397(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33367])).
% 59.37/10.01  tff(f33367,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP475(X0,X1,X2) | ((~pp(aa(nat,bool,X0,sK2397(X0,X1,X2))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),sK2397(X0,X1,X2))),sK2398(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2398(X0,X1,X2)),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (pp(aa(nat,bool,X0,X5)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP475(X0,X1,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2397,sK2398])],[f33365,f33366])).
% 59.37/10.01  tff(f33366,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X3)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) => (~pp(aa(nat,bool,X0,sK2397(X0,X1,X2))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),sK2397(X0,X1,X2))),sK2398(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2398(X0,X1,X2)),X2))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33365,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP475(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X3)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (pp(aa(nat,bool,X0,X5)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP475(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f33364])).
% 59.37/10.01  tff(f33364,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP475(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X3)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2 | ~sP475(X0,X1,X2)))),
% 59.37/10.01    inference(flattening,[],[f33363])).
% 59.37/10.01  tff(f33363,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP475(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X3)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & ((! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) | ~sP475(X0,X1,X2)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27791])).
% 59.37/10.01  tff(f76190,plain,(
% 59.37/10.01    spl2737_2183),
% 59.37/10.01    inference(avatar_split_clause,[],[f48545,f76188])).
% 59.37/10.01  tff(f76188,plain,(
% 59.37/10.01    spl2737_2183 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP474(X0,X1,X2) | ~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2183])])).
% 59.37/10.01  tff(f48545,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP474(X0,X1,X2) | ~pp(aa(nat,bool,X0,modulo_modulo(nat,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33362])).
% 59.37/10.01  tff(f76186,plain,(
% 59.37/10.01    spl2737_2182),
% 59.37/10.01    inference(avatar_split_clause,[],[f48543,f76184])).
% 59.37/10.01  tff(f76184,plain,(
% 59.37/10.01    spl2737_2182 <=> ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP474(X0,X1,X2) | ~pp(aa(nat,bool,X0,sK2396(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2182])])).
% 59.37/10.01  tff(f48543,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP474(X0,X1,X2) | ~pp(aa(nat,bool,X0,sK2396(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33360])).
% 59.37/10.01  tff(f33360,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP474(X0,X1,X2) | ((~pp(aa(nat,bool,X0,sK2396(X0,X1,X2))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),sK2395(X0,X1,X2))),sK2396(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2396(X0,X1,X2)),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (pp(aa(nat,bool,X0,X6)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP474(X0,X1,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2395,sK2396])],[f33358,f33359])).
% 59.37/10.01  tff(f33359,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X4)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) => (~pp(aa(nat,bool,X0,sK2396(X0,X1,X2))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),sK2395(X0,X1,X2))),sK2396(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2396(X0,X1,X2)),X2))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33358,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP474(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X4)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X5 : nat,X6 : nat] : (pp(aa(nat,bool,X0,X6)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X5)),X6) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),X2))) | zero_zero(nat) = X2 | ~sP474(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f33357])).
% 59.37/10.01  tff(f33357,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP474(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X4)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & (! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X4)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2 | ~sP474(X0,X1,X2)))),
% 59.37/10.01    inference(flattening,[],[f33356])).
% 59.37/10.01  tff(f33356,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP474(X0,X1,X2) | (? [X3 : nat,X4 : nat] : (~pp(aa(nat,bool,X0,X4)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) & zero_zero(nat) != X2)) & ((! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X0,X4)) | aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X2),X3)),X4) != X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X2))) | zero_zero(nat) = X2) | ~sP474(X0,X1,X2)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27789])).
% 59.37/10.01  tff(f76182,plain,(
% 59.37/10.01    spl2737_2181),
% 59.37/10.01    inference(avatar_split_clause,[],[f48538,f76180])).
% 59.37/10.01  tff(f76180,plain,(
% 59.37/10.01    spl2737_2181 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X0,divide_divide(int,X1,X2))) | ~sP473(X2,X1,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2181])])).
% 59.37/10.01  tff(f48538,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X0,divide_divide(int,X1,X2))) | ~sP473(X2,X1,X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33355])).
% 59.37/10.01  tff(f33355,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((pp(aa(int,bool,X0,divide_divide(int,X1,X2))) | ~sP473(X2,X1,X0)) & (sP473(X2,X1,X0) | ~pp(aa(int,bool,X0,divide_divide(int,X1,X2)))))),
% 59.37/10.01    inference(nnf_transformation,[],[f27788])).
% 59.37/10.01  tff(f27788,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,divide_divide(int,X1,X2))) <=> sP473(X2,X1,X0))),
% 59.37/10.01    inference(definition_folding,[],[f26292,f27787,f27786,f27785])).
% 59.37/10.01  tff(f26292,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,divide_divide(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X3)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) & (pp(aa(int,bool,X0,zero_zero(int))) | zero_zero(int) != X2)))),
% 59.37/10.01    inference(flattening,[],[f26291])).
% 59.37/10.01  tff(f26291,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,divide_divide(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X3)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4)))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X5)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6)))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) & (pp(aa(int,bool,X0,zero_zero(int))) | zero_zero(int) != X2)))),
% 59.37/10.01    inference(ennf_transformation,[],[f17462])).
% 59.37/10.01  tff(f17462,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,divide_divide(int,X1,X2))) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) => ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) => pp(aa(int,bool,X0,X3)))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) => ! [X5 : int,X6 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) => pp(aa(int,bool,X0,X5)))) & (zero_zero(int) = X2 => pp(aa(int,bool,X0,zero_zero(int))))))),
% 59.37/10.01    inference(rectify,[],[f1115])).
% 59.37/10.01  tff(f1115,axiom,(
% 59.37/10.01    ! [X17 : fun(int,bool),X8 : int,X18 : int] : (pp(aa(int,bool,X17,divide_divide(int,X8,X18))) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),zero_zero(int))) => ! [X29 : int,X35 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X18),X29)),X35) = X8 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X35),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),X35))) => pp(aa(int,bool,X17,X29)))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X18)) => ! [X29 : int,X35 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X18),X29)),X35) = X8 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X35),X18)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X35))) => pp(aa(int,bool,X17,X29)))) & (zero_zero(int) = X18 => pp(aa(int,bool,X17,zero_zero(int))))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1114_split__zdiv)).
% 59.37/10.01  tff(f76178,plain,(
% 59.37/10.01    spl2737_2180),
% 59.37/10.01    inference(avatar_split_clause,[],[f48537,f76176])).
% 59.37/10.01  tff(f76176,plain,(
% 59.37/10.01    spl2737_2180 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP473(X2,X1,X0) | ~pp(aa(int,bool,X0,divide_divide(int,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2180])])).
% 59.37/10.01  tff(f48537,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP473(X2,X1,X0) | ~pp(aa(int,bool,X0,divide_divide(int,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33355])).
% 59.37/10.01  tff(f76174,plain,(
% 59.37/10.01    spl2737_2179),
% 59.37/10.01    inference(avatar_split_clause,[],[f48536,f76172])).
% 59.37/10.01  tff(f76172,plain,(
% 59.37/10.01    spl2737_2179 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP471(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2393(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2179])])).
% 59.37/10.01  tff(f48536,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP471(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2393(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33354])).
% 59.37/10.01  tff(f76170,plain,(
% 59.37/10.01    spl2737_2178 | ~spl2737_228 | ~spl2737_951),
% 59.37/10.01    inference(avatar_split_clause,[],[f69225,f68861,f65359,f76167])).
% 59.37/10.01  tff(f76167,plain,(
% 59.37/10.01    spl2737_2178 <=> sP179(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2178])])).
% 59.37/10.01  tff(f69225,plain,(
% 59.37/10.01    sP179(real) | (~spl2737_228 | ~spl2737_951)),
% 59.37/10.01    inference(resolution,[],[f68862,f65361])).
% 59.37/10.01  tff(f76165,plain,(
% 59.37/10.01    spl2737_2177),
% 59.37/10.01    inference(avatar_split_clause,[],[f48530,f76163])).
% 59.37/10.01  tff(f76163,plain,(
% 59.37/10.01    spl2737_2177 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP472(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2391(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2177])])).
% 59.37/10.01  tff(f48530,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP472(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2391(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33349])).
% 59.37/10.01  tff(f76161,plain,(
% 59.37/10.01    spl2737_2176),
% 59.37/10.01    inference(avatar_split_clause,[],[f48519,f76159])).
% 59.37/10.01  tff(f76159,plain,(
% 59.37/10.01    spl2737_2176 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))) | ~sP470(X2,X1,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2176])])).
% 59.37/10.01  tff(f48519,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))) | ~sP470(X2,X1,X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33341])).
% 59.37/10.01  tff(f33341,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : ((pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))) | ~sP470(X2,X1,X0)) & (sP470(X2,X1,X0) | ~pp(aa(int,bool,X0,modulo_modulo(int,X1,X2)))))),
% 59.37/10.01    inference(nnf_transformation,[],[f27784])).
% 59.37/10.01  tff(f27784,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))) <=> sP470(X2,X1,X0))),
% 59.37/10.01    inference(definition_folding,[],[f26290,f27783,f27782,f27781])).
% 59.37/10.01  tff(f26290,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X4)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) & (pp(aa(int,bool,X0,X1)) | zero_zero(int) != X2)))),
% 59.37/10.01    inference(flattening,[],[f26289])).
% 59.37/10.01  tff(f26289,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))) <=> ((! [X3 : int,X4 : int] : (pp(aa(int,bool,X0,X4)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4)))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int)))) & (! [X5 : int,X6 : int] : (pp(aa(int,bool,X0,X6)) | (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) != X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6)))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) & (pp(aa(int,bool,X0,X1)) | zero_zero(int) != X2)))),
% 59.37/10.01    inference(ennf_transformation,[],[f17461])).
% 59.37/10.01  tff(f17461,plain,(
% 59.37/10.01    ! [X0 : fun(int,bool),X1 : int,X2 : int] : (pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),zero_zero(int))) => ! [X3 : int,X4 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X3)),X4) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X4),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X2),X4))) => pp(aa(int,bool,X0,X4)))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) => ! [X5 : int,X6 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X2),X5)),X6) = X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X6),X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))) => pp(aa(int,bool,X0,X6)))) & (zero_zero(int) = X2 => pp(aa(int,bool,X0,X1)))))),
% 59.37/10.01    inference(rectify,[],[f1948])).
% 59.37/10.01  tff(f1948,axiom,(
% 59.37/10.01    ! [X17 : fun(int,bool),X8 : int,X18 : int] : (pp(aa(int,bool,X17,modulo_modulo(int,X8,X18))) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),zero_zero(int))) => ! [X29 : int,X35 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X18),X29)),X35) = X8 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X35),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),X35))) => pp(aa(int,bool,X17,X35)))) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X18)) => ! [X29 : int,X35 : int] : ((aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X18),X29)),X35) = X8 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X35),X18)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X35))) => pp(aa(int,bool,X17,X35)))) & (zero_zero(int) = X18 => pp(aa(int,bool,X17,X8)))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1947_split__zmod)).
% 59.37/10.01  tff(f76157,plain,(
% 59.37/10.01    spl2737_2175),
% 59.37/10.01    inference(avatar_split_clause,[],[f48518,f76155])).
% 59.37/10.01  tff(f76155,plain,(
% 59.37/10.01    spl2737_2175 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP470(X2,X1,X0) | ~pp(aa(int,bool,X0,modulo_modulo(int,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2175])])).
% 59.37/10.01  tff(f48518,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP470(X2,X1,X0) | ~pp(aa(int,bool,X0,modulo_modulo(int,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33341])).
% 59.37/10.01  tff(f76153,plain,(
% 59.37/10.01    spl2737_2174),
% 59.37/10.01    inference(avatar_split_clause,[],[f48517,f76151])).
% 59.37/10.01  tff(f76151,plain,(
% 59.37/10.01    spl2737_2174 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP468(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2390(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2174])])).
% 59.37/10.01  tff(f48517,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP468(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2390(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33340])).
% 59.37/10.01  tff(f76149,plain,(
% 59.37/10.01    spl2737_2173),
% 59.37/10.01    inference(avatar_split_clause,[],[f48511,f76147])).
% 59.37/10.01  tff(f76147,plain,(
% 59.37/10.01    spl2737_2173 <=> ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP469(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2388(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2173])])).
% 59.37/10.01  tff(f48511,plain,(
% 59.37/10.01    ( ! [X2 : int,X0 : fun(int,bool),X1 : int] : (sP469(X0,X1,X2) | ~pp(aa(int,bool,X0,sK2388(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33335])).
% 59.37/10.01  tff(f76145,plain,(
% 59.37/10.01    spl2737_2172),
% 59.37/10.01    inference(avatar_split_clause,[],[f48393,f76143])).
% 59.37/10.01  tff(f76143,plain,(
% 59.37/10.01    spl2737_2172 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (list_all(X0,X1,X2) | ~pp(aa(X0,bool,X1,sK2362(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2172])])).
% 59.37/10.01  tff(f48393,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (list_all(X0,X1,X2) | ~pp(aa(X0,bool,X1,sK2362(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33236])).
% 59.37/10.01  tff(f33236,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((list_all(X0,X1,X2) | (~pp(aa(X0,bool,X1,sK2362(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2362(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2362])],[f33234,f33235])).
% 59.37/10.01  tff(f33235,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) => (~pp(aa(X0,bool,X1,sK2362(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2362(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33234,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((list_all(X0,X1,X2) | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f33233])).
% 59.37/10.01  tff(f33233,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((list_all(X0,X1,X2) | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2)))),
% 59.37/10.01    inference(nnf_transformation,[],[f26277])).
% 59.37/10.01  tff(f26277,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (list_all(X0,X1,X2) <=> ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/10.01    inference(ennf_transformation,[],[f17433])).
% 59.37/10.01  tff(f17433,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (list_all(X0,X1,X2) <=> ! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))) => pp(aa(X0,bool,X1,X3))))),
% 59.37/10.01    inference(rectify,[],[f7978])).
% 59.37/10.01  tff(f7978,axiom,(
% 59.37/10.01    ! [X0 : $tType,X17 : fun(X0,bool),X63 : list(X0)] : (list_all(X0,X17,X63) <=> ! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),aa(list(X0),set(X0),set2(X0),X63))) => pp(aa(X0,bool,X17,X138))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7977_list_Opred__set)).
% 59.37/10.01  tff(f76141,plain,(
% 59.37/10.01    spl2737_2171),
% 59.37/10.01    inference(avatar_split_clause,[],[f48390,f76139])).
% 59.37/10.01  tff(f76139,plain,(
% 59.37/10.01    spl2737_2171 <=> ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (list_all(X0,X1,X2) | ~pp(aa(X0,bool,X1,sK2361(X0,X1,X2))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2171])])).
% 59.37/10.01  tff(f48390,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (list_all(X0,X1,X2) | ~pp(aa(X0,bool,X1,sK2361(X0,X1,X2)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33232])).
% 59.37/10.01  tff(f33232,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((list_all(X0,X1,X2) | (~pp(aa(X0,bool,X1,sK2361(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2361(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2361])],[f33230,f33231])).
% 59.37/10.01  tff(f33231,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) => (~pp(aa(X0,bool,X1,sK2361(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2361(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33230,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((list_all(X0,X1,X2) | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f33229])).
% 59.37/10.01  tff(f33229,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : ((list_all(X0,X1,X2) | ? [X3 : X0] : (~pp(aa(X0,bool,X1,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | ~list_all(X0,X1,X2)))),
% 59.37/10.01    inference(nnf_transformation,[],[f26276])).
% 59.37/10.01  tff(f26276,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (list_all(X0,X1,X2) <=> ! [X3 : X0] : (pp(aa(X0,bool,X1,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/10.01    inference(ennf_transformation,[],[f17432])).
% 59.37/10.01  tff(f17432,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (list_all(X0,X1,X2) <=> ! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))) => pp(aa(X0,bool,X1,X3))))),
% 59.37/10.01    inference(rectify,[],[f7977])).
% 59.37/10.01  tff(f7977,axiom,(
% 59.37/10.01    ! [X0 : $tType,X17 : fun(X0,bool),X14 : list(X0)] : (list_all(X0,X17,X14) <=> ! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X14))) => pp(aa(X0,bool,X17,X115))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7976_list__all__iff)).
% 59.37/10.01  tff(f76137,plain,(
% 59.37/10.01    spl2737_2170),
% 59.37/10.01    inference(avatar_split_clause,[],[f48241,f76135])).
% 59.37/10.01  tff(f76135,plain,(
% 59.37/10.01    spl2737_2170 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (~pp(X0) | ~pp(aa(nat,bool,vEBT_vebt_member(X2),X1)) | ~sP455(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2170])])).
% 59.37/10.01  tff(f48241,plain,(
% 59.37/10.01    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (~pp(X0) | ~pp(aa(nat,bool,vEBT_vebt_member(X2),X1)) | ~sP455(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33065])).
% 59.37/10.01  tff(f33065,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : (((~pp(X0) | ~pp(aa(nat,bool,vEBT_vebt_member(X2),X1))) & (pp(X0) | pp(aa(nat,bool,vEBT_vebt_member(X2),X1)))) | ~sP455(X0,X1,X2))),
% 59.37/10.01    inference(rectify,[],[f33064])).
% 59.37/10.01  tff(f33064,plain,(
% 59.37/10.01    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : (((~pp(X2) | ~pp(aa(nat,bool,vEBT_vebt_member(X0),X1))) & (pp(X2) | pp(aa(nat,bool,vEBT_vebt_member(X0),X1)))) | ~sP455(X2,X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27761])).
% 59.37/10.01  tff(f27761,plain,(
% 59.37/10.01    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : ((pp(aa(nat,bool,vEBT_vebt_member(X0),X1)) <~> pp(X2)) | ~sP455(X2,X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP455])])).
% 59.37/10.01  tff(f76133,plain,(
% 59.37/10.01    spl2737_2169),
% 59.37/10.01    inference(avatar_split_clause,[],[f48240,f76131])).
% 59.37/10.01  tff(f76131,plain,(
% 59.37/10.01    spl2737_2169 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (pp(X0) | pp(aa(nat,bool,vEBT_vebt_member(X2),X1)) | ~sP455(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2169])])).
% 59.37/10.01  tff(f48240,plain,(
% 59.37/10.01    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (pp(X0) | pp(aa(nat,bool,vEBT_vebt_member(X2),X1)) | ~sP455(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33065])).
% 59.37/10.01  tff(f76129,plain,(
% 59.37/10.01    spl2737_2168),
% 59.37/10.01    inference(avatar_split_clause,[],[f48165,f76127])).
% 59.37/10.01  tff(f76127,plain,(
% 59.37/10.01    spl2737_2168 <=> ! [X0 : nat,X3 : bool,X2 : nat,X1 : nat] : (X0 = X1 | X1 = X2 | ~pp(X3) | ~sP426(X0,X1,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2168])])).
% 59.37/10.01  tff(f48165,plain,(
% 59.37/10.01    ( ! [X2 : nat,X3 : bool,X0 : nat,X1 : nat] : (X0 = X1 | X1 = X2 | ~pp(X3) | ~sP426(X0,X1,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32987])).
% 59.37/10.01  tff(f32987,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : nat,X2 : nat,X3 : bool] : (((pp(X3) | (X0 != X1 & X1 != X2)) & (X0 = X1 | X1 = X2 | ~pp(X3))) | ~sP426(X0,X1,X2,X3))),
% 59.37/10.01    inference(rectify,[],[f32986])).
% 59.37/10.01  tff(f32986,plain,(
% 59.37/10.01    ! [X8 : nat,X1 : nat,X7 : nat,X2 : bool] : (((pp(X2) | (X1 != X8 & X1 != X7)) & (X1 = X8 | X1 = X7 | ~pp(X2))) | ~sP426(X8,X1,X7,X2))),
% 59.37/10.01    inference(flattening,[],[f32985])).
% 59.37/10.01  tff(f32985,plain,(
% 59.37/10.01    ! [X8 : nat,X1 : nat,X7 : nat,X2 : bool] : (((pp(X2) | (X1 != X8 & X1 != X7)) & ((X1 = X8 | X1 = X7) | ~pp(X2))) | ~sP426(X8,X1,X7,X2))),
% 59.37/10.01    inference(nnf_transformation,[],[f27729])).
% 59.37/10.01  tff(f27729,plain,(
% 59.37/10.01    ! [X8 : nat,X1 : nat,X7 : nat,X2 : bool] : ((pp(X2) <=> (X1 = X8 | X1 = X7)) | ~sP426(X8,X1,X7,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP426])])).
% 59.37/10.01  tff(f76125,plain,(
% 59.37/10.01    spl2737_2167 | ~spl2737_226 | ~spl2737_951),
% 59.37/10.01    inference(avatar_split_clause,[],[f69224,f68861,f65349,f76122])).
% 59.37/10.01  tff(f76122,plain,(
% 59.37/10.01    spl2737_2167 <=> sP179(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2167])])).
% 59.37/10.01  tff(f69224,plain,(
% 59.37/10.01    sP179(code_integer) | (~spl2737_226 | ~spl2737_951)),
% 59.37/10.01    inference(resolution,[],[f68862,f65351])).
% 59.37/10.01  tff(f76120,plain,(
% 59.37/10.01    spl2737_2166),
% 59.37/10.01    inference(avatar_split_clause,[],[f46436,f76118])).
% 59.37/10.01  tff(f76118,plain,(
% 59.37/10.01    spl2737_2166 <=> ! [X0 : fun(nat,bool),X1 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X1))) | ~sP355(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2166])])).
% 59.37/10.01  tff(f46436,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool),X1 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X1))) | ~sP355(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32083])).
% 59.37/10.01  tff(f32083,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : int] : ((pp(aa(nat,bool,X0,aa(int,nat,nat2,X1))) | ~sP355(X0,X1)) & (sP355(X0,X1) | ~pp(aa(nat,bool,X0,aa(int,nat,nat2,X1)))))),
% 59.37/10.01    inference(nnf_transformation,[],[f27623])).
% 59.37/10.01  tff(f27623,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X1))) <=> sP355(X0,X1))),
% 59.37/10.01    inference(definition_folding,[],[f25526,f27622])).
% 59.37/10.01  tff(f25526,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X1))) <=> ((pp(aa(nat,bool,X0,zero_zero(nat))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & ! [X2 : nat] : (pp(aa(nat,bool,X0,X2)) | aa(nat,int,semiring_1_of_nat(int),X2) != X1)))),
% 59.37/10.01    inference(ennf_transformation,[],[f16486])).
% 59.37/10.01  tff(f16486,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : int] : (pp(aa(nat,bool,X0,aa(int,nat,nat2,X1))) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) => pp(aa(nat,bool,X0,zero_zero(nat)))) & ! [X2 : nat] : (aa(nat,int,semiring_1_of_nat(int),X2) = X1 => pp(aa(nat,bool,X0,X2)))))),
% 59.37/10.01    inference(rectify,[],[f432])).
% 59.37/10.01  tff(f432,axiom,(
% 59.37/10.01    ! [X17 : fun(nat,bool),X23 : int] : (pp(aa(nat,bool,X17,aa(int,nat,nat2,X23))) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X23),zero_zero(int))) => pp(aa(nat,bool,X17,zero_zero(nat)))) & ! [X62 : nat] : (aa(nat,int,semiring_1_of_nat(int),X62) = X23 => pp(aa(nat,bool,X17,X62)))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_431_split__nat)).
% 59.37/10.01  tff(f76116,plain,(
% 59.37/10.01    spl2737_2165),
% 59.37/10.01    inference(avatar_split_clause,[],[f46435,f76114])).
% 59.37/10.01  tff(f76114,plain,(
% 59.37/10.01    spl2737_2165 <=> ! [X0 : fun(nat,bool),X1 : int] : (sP355(X0,X1) | ~pp(aa(nat,bool,X0,aa(int,nat,nat2,X1))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2165])])).
% 59.37/10.01  tff(f46435,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool),X1 : int] : (sP355(X0,X1) | ~pp(aa(nat,bool,X0,aa(int,nat,nat2,X1)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32083])).
% 59.37/10.01  tff(f76112,plain,(
% 59.37/10.01    spl2737_2164),
% 59.37/10.01    inference(avatar_split_clause,[],[f46245,f76110])).
% 59.37/10.01  tff(f76110,plain,(
% 59.37/10.01    spl2737_2164 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP339(sK1910(X0,X1),sK1914(X0,X1),sK1913(X0,X1)) | ~sP346(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2164])])).
% 59.37/10.01  tff(f46245,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP339(sK1910(X0,X1),sK1914(X0,X1),sK1913(X0,X1)) | ~sP346(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31931])).
% 59.37/10.01  tff(f76108,plain,(
% 59.37/10.01    spl2737_2163),
% 59.37/10.01    inference(avatar_split_clause,[],[f46244,f76106])).
% 59.37/10.01  tff(f76106,plain,(
% 59.37/10.01    spl2737_2163 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP338(sK1912(X0,X1),sK1910(X0,X1),sK1911(X0,X1)) | ~sP346(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2163])])).
% 59.37/10.01  tff(f46244,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP338(sK1912(X0,X1),sK1910(X0,X1),sK1911(X0,X1)) | ~sP346(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31931])).
% 59.37/10.01  tff(f76104,plain,(
% 59.37/10.01    spl2737_2162),
% 59.37/10.01    inference(avatar_split_clause,[],[f46233,f76102])).
% 59.37/10.01  tff(f76102,plain,(
% 59.37/10.01    spl2737_2162 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP343(sK1904(X0,X1),sK1908(X0,X1),sK1907(X0,X1)) | ~sP347(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2162])])).
% 59.37/10.01  tff(f46233,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP343(sK1904(X0,X1),sK1908(X0,X1),sK1907(X0,X1)) | ~sP347(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31926])).
% 59.37/10.01  tff(f76100,plain,(
% 59.37/10.01    spl2737_2161),
% 59.37/10.01    inference(avatar_split_clause,[],[f46232,f76098])).
% 59.37/10.01  tff(f76098,plain,(
% 59.37/10.01    spl2737_2161 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP342(sK1906(X0,X1),sK1904(X0,X1),sK1905(X0,X1)) | ~sP347(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2161])])).
% 59.37/10.01  tff(f46232,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP342(sK1906(X0,X1),sK1904(X0,X1),sK1905(X0,X1)) | ~sP347(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31926])).
% 59.37/10.01  tff(f76096,plain,(
% 59.37/10.01    spl2737_2160),
% 59.37/10.01    inference(avatar_split_clause,[],[f46178,f76094])).
% 59.37/10.01  tff(f76094,plain,(
% 59.37/10.01    spl2737_2160 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,sK1878(X0))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2160])])).
% 59.37/10.01  tff(f46178,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,sK1878(X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31876])).
% 59.37/10.01  tff(f31876,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | (~pp(aa(nat,bool,X0,sK1878(X0))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X3)),sK1878(X0))))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1878])],[f25503,f31875])).
% 59.37/10.01  tff(f31875,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X3)),X2)))) => (~pp(aa(nat,bool,X0,sK1878(X0))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X3)),sK1878(X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f25503,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X3)),X2)))))),
% 59.37/10.01    inference(ennf_transformation,[],[f16435])).
% 59.37/10.01  tff(f16435,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X3)),X2)) => pp(aa(nat,bool,X0,X3))) => pp(aa(nat,bool,X0,X2))) => pp(aa(nat,bool,X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f599])).
% 59.37/10.01  tff(f599,axiom,(
% 59.37/10.01    ! [X17 : fun(nat,bool),X8 : nat] : (! [X19 : nat] : (! [X39 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,suc,X39)),X19)) => pp(aa(nat,bool,X17,X39))) => pp(aa(nat,bool,X17,X19))) => pp(aa(nat,bool,X17,X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_598_full__nat__induct)).
% 59.37/10.01  tff(f76092,plain,(
% 59.37/10.01    spl2737_2159),
% 59.37/10.01    inference(avatar_split_clause,[],[f46176,f76090])).
% 59.37/10.01  tff(f76090,plain,(
% 59.37/10.01    spl2737_2159 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,sK1877(X0))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2159])])).
% 59.37/10.01  tff(f46176,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,sK1877(X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31874])).
% 59.37/10.01  tff(f31874,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | (~pp(aa(nat,bool,X0,sK1877(X0))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),sK1877(X0))))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1877])],[f25502,f31873])).
% 59.37/10.01  tff(f31873,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))) => (~pp(aa(nat,bool,X0,sK1877(X0))) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),sK1877(X0))))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f25502,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & ! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))))),
% 59.37/10.01    inference(ennf_transformation,[],[f16434])).
% 59.37/10.01  tff(f16434,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)) => pp(aa(nat,bool,X0,X3))) => pp(aa(nat,bool,X0,X2))) => pp(aa(nat,bool,X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f67])).
% 59.37/10.01  tff(f67,axiom,(
% 59.37/10.01    ! [X17 : fun(nat,bool),X8 : nat] : (! [X19 : nat] : (! [X39 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X39),X19)) => pp(aa(nat,bool,X17,X39))) => pp(aa(nat,bool,X17,X19))) => pp(aa(nat,bool,X17,X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_nat__less__induct)).
% 59.37/10.01  tff(f76088,plain,(
% 59.37/10.01    spl2737_2158),
% 59.37/10.01    inference(avatar_split_clause,[],[f46155,f76086])).
% 59.37/10.01  tff(f76086,plain,(
% 59.37/10.01    spl2737_2158 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,sK1867(X0))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2158])])).
% 59.37/10.01  tff(f46155,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ~pp(aa(nat,bool,X0,sK1867(X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31854])).
% 59.37/10.01  tff(f31854,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),sK1867(X0)))) & ~pp(aa(nat,bool,X0,sK1867(X0)))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1867])],[f25492,f31853])).
% 59.37/10.01  tff(f31853,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (? [X2 : nat] : (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))) & ~pp(aa(nat,bool,X0,X2))) => (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),sK1867(X0)))) & ~pp(aa(nat,bool,X0,sK1867(X0)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f25492,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,X1)) | ? [X2 : nat] : (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))) & ~pp(aa(nat,bool,X0,X2))))),
% 59.37/10.01    inference(ennf_transformation,[],[f16424])).
% 59.37/10.01  tff(f16424,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool),X1 : nat] : (! [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) => ? [X3 : nat] : (~pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))) => pp(aa(nat,bool,X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f66])).
% 59.37/10.01  tff(f66,axiom,(
% 59.37/10.01    ! [X17 : fun(nat,bool),X8 : nat] : (! [X19 : nat] : (~pp(aa(nat,bool,X17,X19)) => ? [X39 : nat] : (~pp(aa(nat,bool,X17,X39)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X39),X19)))) => pp(aa(nat,bool,X17,X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_infinite__descent)).
% 59.37/10.01  tff(f76084,plain,(
% 59.37/10.01    spl2737_2157),
% 59.37/10.01    inference(avatar_split_clause,[],[f46071,f76082])).
% 59.37/10.01  tff(f76082,plain,(
% 59.37/10.01    spl2737_2157 <=> ! [X1 : $tType,X0 : $tType,X3 : set(X0),X2 : fun(X0,X1)] : (strict_mono_on(X0,X1,X2,X3) | ~sP324(X1,X0,X2,X3) | ~sP325(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2157])])).
% 59.37/10.01  tff(f46071,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : set(X0)] : (strict_mono_on(X0,X1,X2,X3) | ~sP324(X1,X0,X2,X3) | ~sP325(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31766])).
% 59.37/10.01  tff(f31766,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X0,X1),X3 : set(X0)] : ((strict_mono_on(X0,X1,X2,X3) | ~sP324(X1,X0,X2,X3)) & (sP324(X1,X0,X2,X3) | ~strict_mono_on(X0,X1,X2,X3))) | ~sP325(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f31765])).
% 59.37/10.01  tff(f31765,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : ((strict_mono_on(X1,X0,X2,X3) | ~sP324(X0,X1,X2,X3)) & (sP324(X0,X1,X2,X3) | ~strict_mono_on(X1,X0,X2,X3))) | ~sP325(X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27582])).
% 59.37/10.01  tff(f27582,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> sP324(X0,X1,X2,X3)) | ~sP325(X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP325])])).
% 59.37/10.01  tff(f76080,plain,(
% 59.37/10.01    spl2737_2156 | ~spl2737_229 | ~spl2737_950),
% 59.37/10.01    inference(avatar_split_clause,[],[f69223,f68857,f65364,f76077])).
% 59.37/10.01  tff(f76077,plain,(
% 59.37/10.01    spl2737_2156 <=> sP177(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2156])])).
% 59.37/10.01  tff(f68857,plain,(
% 59.37/10.01    spl2737_950 <=> ! [X0 : $tType] : (sP177(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_950])])).
% 59.37/10.01  tff(f69223,plain,(
% 59.37/10.01    sP177(int) | (~spl2737_229 | ~spl2737_950)),
% 59.37/10.01    inference(resolution,[],[f68858,f65366])).
% 59.37/10.01  tff(f68858,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP177(X0)) ) | ~spl2737_950),
% 59.37/10.01    inference(avatar_component_clause,[],[f68857])).
% 59.37/10.01  tff(f76075,plain,(
% 59.37/10.01    spl2737_2155),
% 59.37/10.01    inference(avatar_split_clause,[],[f46070,f76073])).
% 59.37/10.01  tff(f76073,plain,(
% 59.37/10.01    spl2737_2155 <=> ! [X1 : $tType,X0 : $tType,X3 : set(X0),X2 : fun(X0,X1)] : (sP324(X1,X0,X2,X3) | ~strict_mono_on(X0,X1,X2,X3) | ~sP325(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2155])])).
% 59.37/10.01  tff(f46070,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : set(X0)] : (sP324(X1,X0,X2,X3) | ~strict_mono_on(X0,X1,X2,X3) | ~sP325(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31766])).
% 59.37/10.01  tff(f76071,plain,(
% 59.37/10.01    spl2737_2154),
% 59.37/10.01    inference(avatar_split_clause,[],[f45249,f76069])).
% 59.37/10.01  tff(f76069,plain,(
% 59.37/10.01    spl2737_2154 <=> ! [X0 : $tType,X1 : fun(X0,X0)] : (hilbert_bijection(X0,X1) | ~bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2154])])).
% 59.37/10.01  tff(f45249,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : fun(X0,X0)] : (hilbert_bijection(X0,X1) | ~bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f24489])).
% 59.37/10.01  tff(f24489,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,X0)] : (hilbert_bijection(X0,X1) | ~bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0))))),
% 59.37/10.01    inference(ennf_transformation,[],[f15808])).
% 59.37/10.01  tff(f15808,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,X0)] : (bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0))) => hilbert_bijection(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f7465])).
% 59.37/10.01  tff(f7465,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,X0)] : (bij_betw(X0,X0,X32,top_top(set(X0)),top_top(set(X0))) => hilbert_bijection(X0,X32))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7464_bijection_Ointro)).
% 59.37/10.01  tff(f76067,plain,(
% 59.37/10.01    spl2737_2153),
% 59.37/10.01    inference(avatar_split_clause,[],[f45226,f76065])).
% 59.37/10.01  tff(f76065,plain,(
% 59.37/10.01    spl2737_2153 <=> ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK1694(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2153])])).
% 59.37/10.01  tff(f45226,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (distinct(X0,sK1694(X0,X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31441])).
% 59.37/10.01  tff(f31441,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0)] : ((distinct(X0,sK1694(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK1694(X0,X1)) = X1) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1694])],[f24471,f31440])).
% 59.37/10.01  tff(f31440,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (distinct(X0,X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) => (distinct(X0,sK1694(X0,X1)) & aa(list(X0),set(X0),set2(X0),sK1694(X0,X1)) = X1))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f24471,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0)] : (? [X2 : list(X0)] : (distinct(X0,X2) & aa(list(X0),set(X0),set2(X0),X2) = X1) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(ennf_transformation,[],[f15796])).
% 59.37/10.01  tff(f15796,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) => ? [X2 : list(X0)] : (distinct(X0,X2) & aa(list(X0),set(X0),set2(X0),X2) = X1))),
% 59.37/10.01    inference(rectify,[],[f4117])).
% 59.37/10.01  tff(f4117,axiom,(
% 59.37/10.01    ! [X0 : $tType,X30 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),X30)) => ? [X163 : list(X0)] : (distinct(X0,X163) & aa(list(X0),set(X0),set2(X0),X163) = X30))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4116_finite__distinct__list)).
% 59.37/10.01  tff(f76063,plain,(
% 59.37/10.01    spl2737_2152),
% 59.37/10.01    inference(avatar_split_clause,[],[f45085,f76061])).
% 59.37/10.01  tff(f76061,plain,(
% 59.37/10.01    spl2737_2152 <=> ! [X0 : fun(nat,bool)] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1621(X0)))) | ~sP295(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2152])])).
% 59.37/10.01  tff(f45085,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool)] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1621(X0)))) | ~sP295(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31323])).
% 59.37/10.01  tff(f31323,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : ((~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1621(X0)))) & ! [X2 : nat,X3 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3) != aa(nat,product_prod(nat,nat),nat_prod_decode,sK1621(X0))) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,sK1621(X0)))) | ~sP295(X0))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1621])],[f31321,f31322])).
% 59.37/10.01  tff(f31322,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,X1))) & ! [X2 : nat,X3 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3) != aa(nat,product_prod(nat,nat),nat_prod_decode,X1)) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X1))) => (~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1621(X0)))) & ! [X3 : nat,X2 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3) != aa(nat,product_prod(nat,nat),nat_prod_decode,sK1621(X0))) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,sK1621(X0)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31321,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,X1))) & ! [X2 : nat,X3 : nat] : (pp(aa(nat,bool,X0,X3)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3) != aa(nat,product_prod(nat,nat),nat_prod_decode,X1)) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X1))) | ~sP295(X0))),
% 59.37/10.01    inference(rectify,[],[f31320])).
% 59.37/10.01  tff(f31320,plain,(
% 59.37/10.01    ! [X1 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X1,X4)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X3),X4) != aa(nat,product_prod(nat,nat),nat_prod_decode,X2)) & accp(nat,nat_list_decode_rel,aa(nat,nat,suc,X2))) | ~sP295(X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27536])).
% 59.37/10.01  tff(f76059,plain,(
% 59.37/10.01    spl2737_2151),
% 59.37/10.01    inference(avatar_split_clause,[],[f45080,f76057])).
% 59.37/10.01  tff(f76057,plain,(
% 59.37/10.01    spl2737_2151 <=> ! [X0 : fun(nat,bool)] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1620(X0)))) | ~sP294(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2151])])).
% 59.37/10.01  tff(f45080,plain,(
% 59.37/10.01    ( ! [X0 : fun(nat,bool)] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1620(X0)))) | ~sP294(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31319])).
% 59.37/10.01  tff(f31319,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : ((~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1620(X0)))) & ! [X2 : nat,X3 : nat,X4 : nat,X5 : nat] : (pp(aa(nat,bool,X0,X5)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X4),X5) != aa(nat,product_prod(nat,nat),nat_prod_decode,X3) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X3) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X2) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat] : (pp(aa(nat,bool,X0,X8)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X7) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X8),X9) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X6) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & ! [X10 : nat,X11 : nat] : (pp(aa(nat,bool,X0,X11)) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X10) | aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X10) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & ! [X12 : nat,X13 : nat] : (pp(aa(nat,bool,X0,X13)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X12) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X13) | aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X12) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & accp(nat,nth_item_rel,aa(nat,nat,suc,sK1620(X0)))) | ~sP294(X0))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1620])],[f31317,f31318])).
% 59.37/10.01  tff(f31318,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,X1))) & ! [X2 : nat,X3 : nat,X4 : nat,X5 : nat] : (pp(aa(nat,bool,X0,X5)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X4),X5) != aa(nat,product_prod(nat,nat),nat_prod_decode,X3) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X3) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X1) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X2)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat] : (pp(aa(nat,bool,X0,X8)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X7) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X8),X9) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X6) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X1)) & ! [X10 : nat,X11 : nat] : (pp(aa(nat,bool,X0,X11)) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X10) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X1) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X10)) & ! [X12 : nat,X13 : nat] : (pp(aa(nat,bool,X0,X13)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X12) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X13) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X1) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X12)) & accp(nat,nth_item_rel,aa(nat,nat,suc,X1))) => (~pp(aa(nat,bool,X0,aa(nat,nat,suc,sK1620(X0)))) & ! [X5 : nat,X4 : nat,X3 : nat,X2 : nat] : (pp(aa(nat,bool,X0,X5)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X4),X5) != aa(nat,product_prod(nat,nat),nat_prod_decode,X3) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X3) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X2) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & ! [X9 : nat,X8 : nat,X7 : nat,X6 : nat] : (pp(aa(nat,bool,X0,X8)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X7) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X8),X9) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X6) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & ! [X11 : nat,X10 : nat] : (pp(aa(nat,bool,X0,X11)) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X10) | aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X10) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & ! [X13 : nat,X12 : nat] : (pp(aa(nat,bool,X0,X13)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X12) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X13) | aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X12) != aa(nat,sum_sum(nat,nat),nat_sum_decode,sK1620(X0))) & accp(nat,nth_item_rel,aa(nat,nat,suc,sK1620(X0)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31317,plain,(
% 59.37/10.01    ! [X0 : fun(nat,bool)] : (? [X1 : nat] : (~pp(aa(nat,bool,X0,aa(nat,nat,suc,X1))) & ! [X2 : nat,X3 : nat,X4 : nat,X5 : nat] : (pp(aa(nat,bool,X0,X5)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X4),X5) != aa(nat,product_prod(nat,nat),nat_prod_decode,X3) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X3) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X1) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X2)) & ! [X6 : nat,X7 : nat,X8 : nat,X9 : nat] : (pp(aa(nat,bool,X0,X8)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X7) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X8),X9) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X6) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X1)) & ! [X10 : nat,X11 : nat] : (pp(aa(nat,bool,X0,X11)) | aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11) != aa(nat,sum_sum(nat,nat),nat_sum_decode,X10) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X1) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X10)) & ! [X12 : nat,X13 : nat] : (pp(aa(nat,bool,X0,X13)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X12) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X13) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X1) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X12)) & accp(nat,nth_item_rel,aa(nat,nat,suc,X1))) | ~sP294(X0))),
% 59.37/10.01    inference(rectify,[],[f31316])).
% 59.37/10.01  tff(f31316,plain,(
% 59.37/10.01    ! [X1 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & ! [X11 : nat,X12 : nat,X13 : nat,X14 : nat] : (pp(aa(nat,bool,X1,X14)) | aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X13),X14) != aa(nat,product_prod(nat,nat),nat_prod_decode,X12) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X11) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X12) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X11)) & ! [X7 : nat,X8 : nat,X9 : nat,X10 : nat] : (pp(aa(nat,bool,X1,X9)) | aa(nat,product_prod(nat,nat),nat_prod_decode,X8) != aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X9),X10) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X7) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X8) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X7)) & ! [X5 : nat,X6 : nat] : (pp(aa(nat,bool,X1,X6)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X5) != aa(nat,sum_sum(nat,nat),sum_Inr(nat,nat),X6) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X5)) & ! [X3 : nat,X4 : nat] : (pp(aa(nat,bool,X1,X4)) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X3) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X4) | aa(nat,sum_sum(nat,nat),nat_sum_decode,X2) != aa(nat,sum_sum(nat,nat),sum_Inl(nat,nat),X3)) & accp(nat,nth_item_rel,aa(nat,nat,suc,X2))) | ~sP294(X1))),
% 59.37/10.01    inference(nnf_transformation,[],[f27534])).
% 59.37/10.01  tff(f76055,plain,(
% 59.37/10.01    spl2737_2150),
% 59.37/10.01    inference(avatar_split_clause,[],[f44987,f76053])).
% 59.37/10.01  tff(f76053,plain,(
% 59.37/10.01    spl2737_2150 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP283(sK1590(X0,X1),sK1588(X0,X1),sK1591(X0,X1)) | ~sP288(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2150])])).
% 59.37/10.01  tff(f44987,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP283(sK1590(X0,X1),sK1588(X0,X1),sK1591(X0,X1)) | ~sP288(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31270])).
% 59.37/10.01  tff(f31270,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP282(sK1594(X0,X1),sK1593(X0,X1),sK1589(X0,X1),sK1588(X0,X1),sK1591(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1594(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1592(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1593(X0,X1)),sK1594(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1588(X0,X1))))) | sK1593(X0,X1) != sK1594(X0,X1)) & sP283(sK1590(X0,X1),sK1588(X0,X1),sK1591(X0,X1)) & sK1592(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1589(X0,X1)),sK1591(X0,X1)) & sK1589(X0,X1) = sK1591(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1588(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1591(X0,X1)) & vEBT_invar_vebt(sK1590(X0,X1),sK1591(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1589(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1588(X0,X1))))) & sK1592(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1593(X0,X1)),sK1594(X0,X1))),sK1592(X0,X1),sK1588(X0,X1),sK1590(X0,X1)) = X1) | ~sP288(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1588,sK1589,sK1590,sK1591,sK1592,sK1593,sK1594])],[f31268,f31269])).
% 59.37/10.01  tff(f31269,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP282(X8,X7,X3,X2,X5) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X7 != X8) & sP283(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),X6,X2,X4) = X1) => (sP282(sK1594(X0,X1),sK1593(X0,X1),sK1589(X0,X1),sK1588(X0,X1),sK1591(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1594(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1592(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1593(X0,X1)),sK1594(X0,X1))) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1588(X0,X1))))) | sK1593(X0,X1) != sK1594(X0,X1)) & sP283(sK1590(X0,X1),sK1588(X0,X1),sK1591(X0,X1)) & sK1592(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1589(X0,X1)),sK1591(X0,X1)) & sK1589(X0,X1) = sK1591(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1588(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),sK1591(X0,X1)) & vEBT_invar_vebt(sK1590(X0,X1),sK1591(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1589(X0,X1)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),sK1588(X0,X1))))) & sK1592(X0,X1) = X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1593(X0,X1)),sK1594(X0,X1))),sK1592(X0,X1),sK1588(X0,X1),sK1590(X0,X1)) = X1))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31268,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP282(X8,X7,X3,X2,X5) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X6))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X7),X8)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X7 != X8) & sP283(X4,X2,X5) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),X5) = X6 & X3 = X5 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X5) & vEBT_invar_vebt(X4,X5) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X11),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X0 = X6 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X7),X8)),X6,X2,X4) = X1) | ~sP288(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f31267])).
% 59.37/10.01  tff(f31267,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X22 : list(vEBT_VEBT),X23 : nat,X24 : vEBT_VEBT,X25 : nat,X26 : nat,X27 : nat,X28 : nat] : (sP282(X28,X27,X23,X22,X25) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X28),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X26))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X27),X28)) & (! [X32 : vEBT_VEBT] : (! [X33 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X32),X33)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X22)))) | X27 != X28) & sP283(X24,X22,X25) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X23),X25) = X26 & X23 = X25 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X22) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X25) & vEBT_invar_vebt(X24,X25) & ! [X29 : vEBT_VEBT] : (vEBT_invar_vebt(X29,X23) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X22)))) & X1 = X26 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X27),X28)),X26,X22,X24) = X0) | ~sP288(X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27524])).
% 59.37/10.01  tff(f27524,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X22 : list(vEBT_VEBT),X23 : nat,X24 : vEBT_VEBT,X25 : nat,X26 : nat,X27 : nat,X28 : nat] : (sP282(X28,X27,X23,X22,X25) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X28),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X26))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X27),X28)) & (! [X32 : vEBT_VEBT] : (! [X33 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X32),X33)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X22)))) | X27 != X28) & sP283(X24,X22,X25) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X23),X25) = X26 & X23 = X25 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X22) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X25) & vEBT_invar_vebt(X24,X25) & ! [X29 : vEBT_VEBT] : (vEBT_invar_vebt(X29,X23) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X22)))) & X1 = X26 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X27),X28)),X26,X22,X24) = X0) | ~sP288(X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP288])])).
% 59.37/10.01  tff(f76051,plain,(
% 59.37/10.01    spl2737_2149),
% 59.37/10.01    inference(avatar_split_clause,[],[f44975,f76049])).
% 59.37/10.01  tff(f76049,plain,(
% 59.37/10.01    spl2737_2149 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP285(sK1583(X0,X1),sK1581(X0,X1),sK1584(X0,X1)) | ~sP289(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2149])])).
% 59.37/10.01  tff(f44975,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP285(sK1583(X0,X1),sK1581(X0,X1),sK1584(X0,X1)) | ~sP289(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31266])).
% 59.37/10.01  tff(f76047,plain,(
% 59.37/10.01    spl2737_2148),
% 59.37/10.01    inference(avatar_split_clause,[],[f44941,f76045])).
% 59.37/10.01  tff(f76045,plain,(
% 59.37/10.01    spl2737_2148 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP277(X1,X0) | vEBT_Leaf(sK1553(X0),sK1554(X0)) = X0 | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2148])])).
% 59.37/10.01  tff(f44941,plain,(
% 59.37/10.01    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP277(X1,X0) | vEBT_Leaf(sK1553(X0),sK1554(X0)) = X0 | ~vEBT_VEBT_valid(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31237])).
% 59.37/10.01  tff(f31237,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (sP277(X1,X0) | (one_one(nat) = X1 & vEBT_Leaf(sK1553(X0),sK1554(X0)) = X0) | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1553,sK1554])],[f27511,f31236])).
% 59.37/10.01  tff(f31236,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 => vEBT_Leaf(sK1553(X0),sK1554(X0)) = X0)),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f27511,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (sP277(X1,X0) | (one_one(nat) = X1 & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0) | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(definition_folding,[],[f24349,f27510])).
% 59.37/10.01  tff(f24349,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) & X1 = X5 & vEBT_Node(X4,X5,X6,X7) = X0) | (one_one(nat) = X1 & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0) | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(flattening,[],[f24348])).
% 59.37/10.01  tff(f24348,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : ((? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) & X1 = X5) & vEBT_Node(X4,X5,X6,X7) = X0) | (one_one(nat) = X1 & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0)) | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(ennf_transformation,[],[f15715])).
% 59.37/10.01  tff(f15715,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => ((? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 => one_one(nat) != X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => ~(pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) => vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & X1 = X5))))),
% 59.37/10.01    inference(rectify,[],[f5227])).
% 59.37/10.01  tff(f5227,axiom,(
% 59.37/10.01    ! [X14 : vEBT_VEBT,X135 : nat] : (vEBT_VEBT_valid(X14,X135) => ((? [X190 : bool,X189 : bool] : vEBT_Leaf(X190,X189) = X14 => one_one(nat) != X135) => ~! [X199 : option(product_prod(nat,nat)),X182 : nat,X68 : list(vEBT_VEBT),X181 : vEBT_VEBT] : (vEBT_Node(X199,X182,X68,X181) = X14 => ~(pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X181))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X68))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X182),X68),X181)),X199)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X68) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X182),divide_divide(nat,X182,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X181,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X182),divide_divide(nat,X182,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X63 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X63),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X68))) => vEBT_VEBT_valid(X63,divide_divide(nat,X182,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & X135 = X182))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5226_VEBT__internal_Ovalid_H_Oelims_I2_J)).
% 59.37/10.01  tff(f76043,plain,(
% 59.37/10.01    spl2737_2147),
% 59.37/10.01    inference(avatar_split_clause,[],[f44900,f76041])).
% 59.37/10.01  tff(f76041,plain,(
% 59.37/10.01    spl2737_2147 <=> ! [X0 : $tType,X1 : fun(X0,X0)] : (bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2147])])).
% 59.37/10.01  tff(f44900,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : fun(X0,X0)] : (bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0))) | ~hilbert_bijection(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f24334])).
% 59.37/10.01  tff(f24334,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,X0)] : (bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/10.01    inference(ennf_transformation,[],[f15704])).
% 59.37/10.01  tff(f15704,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,X0)] : (hilbert_bijection(X0,X1) => bij_betw(X0,X0,X1,top_top(set(X0)),top_top(set(X0))))),
% 59.37/10.01    inference(rectify,[],[f7464])).
% 59.37/10.01  tff(f7464,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,X0)] : (hilbert_bijection(X0,X32) => bij_betw(X0,X0,X32,top_top(set(X0)),top_top(set(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7463_bijection_Obij)).
% 59.37/10.01  tff(f76039,plain,(
% 59.37/10.01    spl2737_2146),
% 59.37/10.01    inference(avatar_split_clause,[],[f44861,f76037])).
% 59.37/10.01  tff(f76037,plain,(
% 59.37/10.01    spl2737_2146 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP265(X1,X0) | vEBT_Leaf(sK1495(X0),sK1496(X0)) = X0 | vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2146])])).
% 59.37/10.01  tff(f44861,plain,(
% 59.37/10.01    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP265(X1,X0) | vEBT_Leaf(sK1495(X0),sK1496(X0)) = X0 | vEBT_VEBT_valid(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31168])).
% 59.37/10.01  tff(f31168,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (sP265(X1,X0) | (one_one(nat) != X1 & vEBT_Leaf(sK1495(X0),sK1496(X0)) = X0) | vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1495,sK1496])],[f27493,f31167])).
% 59.37/10.01  tff(f31167,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 => vEBT_Leaf(sK1495(X0),sK1496(X0)) = X0)),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f27493,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (sP265(X1,X0) | (one_one(nat) != X1 & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0) | vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(definition_folding,[],[f24319,f27492])).
% 59.37/10.01  tff(f24319,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) | X1 != X5) & vEBT_Node(X4,X5,X6,X7) = X0) | (one_one(nat) != X1 & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0) | vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(flattening,[],[f24318])).
% 59.37/10.01  tff(f24318,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : ((? [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6)))) | X1 != X5) & vEBT_Node(X4,X5,X6,X7) = X0) | (one_one(nat) != X1 & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0)) | vEBT_VEBT_valid(X0,X1))),
% 59.37/10.01    inference(ennf_transformation,[],[f15694])).
% 59.37/10.01  tff(f15694,plain,(
% 59.37/10.01    ! [X0 : vEBT_VEBT,X1 : nat] : (~vEBT_VEBT_valid(X0,X1) => ((? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 => one_one(nat) = X1) => ~! [X4 : option(product_prod(nat,nat)),X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (vEBT_Node(X4,X5,X6,X7) = X0 => (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X7))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X5),X6),X7)),X4)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X6) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X7,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X8 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X8),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X6))) => vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & X1 = X5))))),
% 59.37/10.01    inference(rectify,[],[f5226])).
% 59.37/10.01  tff(f5226,axiom,(
% 59.37/10.01    ! [X14 : vEBT_VEBT,X135 : nat] : (~vEBT_VEBT_valid(X14,X135) => ((? [X190 : bool,X189 : bool] : vEBT_Leaf(X190,X189) = X14 => one_one(nat) = X135) => ~! [X199 : option(product_prod(nat,nat)),X182 : nat,X68 : list(vEBT_VEBT),X181 : vEBT_VEBT] : (vEBT_Node(X199,X182,X68,X181) = X14 => (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X181))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X68))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X182),X68),X181)),X199)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X68) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X182),divide_divide(nat,X182,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X181,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X182),divide_divide(nat,X182,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X20 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X20),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X68))) => vEBT_VEBT_valid(X20,divide_divide(nat,X182,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & X135 = X182))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5225_VEBT__internal_Ovalid_H_Oelims_I3_J)).
% 59.37/10.01  tff(f76035,plain,(
% 59.37/10.01    spl2737_2145 | ~spl2737_227 | ~spl2737_950),
% 59.37/10.01    inference(avatar_split_clause,[],[f69222,f68857,f65354,f76032])).
% 59.37/10.01  tff(f76032,plain,(
% 59.37/10.01    spl2737_2145 <=> sP177(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2145])])).
% 59.37/10.01  tff(f69222,plain,(
% 59.37/10.01    sP177(rat) | (~spl2737_227 | ~spl2737_950)),
% 59.37/10.01    inference(resolution,[],[f68858,f65356])).
% 59.37/10.01  tff(f76030,plain,(
% 59.37/10.01    spl2737_2144),
% 59.37/10.01    inference(avatar_split_clause,[],[f43357,f76028])).
% 59.37/10.01  tff(f76028,plain,(
% 59.37/10.01    spl2737_2144 <=> ! [X0 : real] : (zero_zero(int) != sK1278(X0) | ~pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2144])])).
% 59.37/10.01  tff(f43357,plain,(
% 59.37/10.01    ( ! [X0 : real] : (zero_zero(int) != sK1278(X0) | ~pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30623])).
% 59.37/10.01  tff(f30623,plain,(
% 59.37/10.01    ! [X0 : real] : ((pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0)) | ! [X1 : int,X2 : int] : (zero_zero(int) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) != X0)) & ((zero_zero(int) != sK1278(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK1277(X0)),aa(int,real,ring_1_of_int(real),sK1278(X0))) = X0) | ~pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1277,sK1278])],[f30621,f30622])).
% 59.37/10.01  tff(f30622,plain,(
% 59.37/10.01    ! [X0 : real] : (? [X3 : int,X4 : int] : (zero_zero(int) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(int,real,ring_1_of_int(real),X4)) = X0) => (zero_zero(int) != sK1278(X0) & divide_divide(real,aa(int,real,ring_1_of_int(real),sK1277(X0)),aa(int,real,ring_1_of_int(real),sK1278(X0))) = X0))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f30621,plain,(
% 59.37/10.01    ! [X0 : real] : ((pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0)) | ! [X1 : int,X2 : int] : (zero_zero(int) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) != X0)) & (? [X3 : int,X4 : int] : (zero_zero(int) != X4 & divide_divide(real,aa(int,real,ring_1_of_int(real),X3),aa(int,real,ring_1_of_int(real),X4)) = X0) | ~pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0))))),
% 59.37/10.01    inference(rectify,[],[f30620])).
% 59.37/10.01  tff(f30620,plain,(
% 59.37/10.01    ! [X0 : real] : ((pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0)) | ! [X1 : int,X2 : int] : (zero_zero(int) = X2 | divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) != X0)) & (? [X1 : int,X2 : int] : (zero_zero(int) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) = X0) | ~pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0))))),
% 59.37/10.01    inference(nnf_transformation,[],[f14627])).
% 59.37/10.01  tff(f14627,plain,(
% 59.37/10.01    ! [X0 : real] : (pp(aa(real,bool,aTP_Lamp_oh(real,bool),X0)) <=> ? [X1 : int,X2 : int] : (zero_zero(int) != X2 & divide_divide(real,aa(int,real,ring_1_of_int(real),X1),aa(int,real,ring_1_of_int(real),X2)) = X0))),
% 59.37/10.01    inference(rectify,[],[f8164])).
% 59.37/10.01  tff(f8164,axiom,(
% 59.37/10.01    ! [X94 : real] : (pp(aa(real,bool,aTP_Lamp_oh(real,bool),X94)) <=> ? [X29 : int,X35 : int] : (zero_zero(int) != X35 & divide_divide(real,aa(int,real,ring_1_of_int(real),X29),aa(int,real,ring_1_of_int(real),X35)) = X94))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8163_ATP_Olambda__48)).
% 59.37/10.01  tff(f76026,plain,(
% 59.37/10.01    spl2737_2143),
% 59.37/10.01    inference(avatar_split_clause,[],[f43231,f76024])).
% 59.37/10.01  tff(f76024,plain,(
% 59.37/10.01    spl2737_2143 <=> ! [X0 : $tType] : (ord_max(X0) = sup_sup(X0) | ~linorder(X0) | ~semilattice_sup(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2143])])).
% 59.37/10.01  tff(f43231,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (ord_max(X0) = sup_sup(X0) | ~linorder(X0) | ~semilattice_sup(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23691])).
% 59.37/10.01  tff(f23691,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ord_max(X0) = sup_sup(X0) | ~linorder(X0) | ~semilattice_sup(X0))),
% 59.37/10.01    inference(flattening,[],[f23690])).
% 59.37/10.01  tff(f23690,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ord_max(X0) = sup_sup(X0) | (~linorder(X0) | ~semilattice_sup(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f6310])).
% 59.37/10.01  tff(f6310,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((linorder(X0) & semilattice_sup(X0)) => ord_max(X0) = sup_sup(X0))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6309_sup__max)).
% 59.37/10.01  tff(f76022,plain,(
% 59.37/10.01    spl2737_2142),
% 59.37/10.01    inference(avatar_split_clause,[],[f43230,f76020])).
% 59.37/10.01  tff(f76020,plain,(
% 59.37/10.01    spl2737_2142 <=> ! [X0 : $tType] : (inf_inf(X0) = ord_min(X0) | ~linorder(X0) | ~semilattice_inf(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2142])])).
% 59.37/10.01  tff(f43230,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (inf_inf(X0) = ord_min(X0) | ~linorder(X0) | ~semilattice_inf(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23689])).
% 59.37/10.01  tff(f23689,plain,(
% 59.37/10.01    ! [X0 : $tType] : (inf_inf(X0) = ord_min(X0) | ~linorder(X0) | ~semilattice_inf(X0))),
% 59.37/10.01    inference(flattening,[],[f23688])).
% 59.37/10.01  tff(f23688,plain,(
% 59.37/10.01    ! [X0 : $tType] : (inf_inf(X0) = ord_min(X0) | (~linorder(X0) | ~semilattice_inf(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f5128])).
% 59.37/10.01  tff(f5128,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((linorder(X0) & semilattice_inf(X0)) => inf_inf(X0) = ord_min(X0))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5127_inf__min)).
% 59.37/10.01  tff(f76018,plain,(
% 59.37/10.01    spl2737_2141),
% 59.37/10.01    inference(avatar_split_clause,[],[f43162,f76016])).
% 59.37/10.01  tff(f76016,plain,(
% 59.37/10.01    spl2737_2141 <=> ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | ~comm_semiring_1(X0) | ~semiring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2141])])).
% 59.37/10.01  tff(f43162,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | ~comm_semiring_1(X0) | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23597])).
% 59.37/10.01  tff(f23597,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | ~comm_semiring_1(X0) | ~semiring_char_0(X0))),
% 59.37/10.01    inference(flattening,[],[f23596])).
% 59.37/10.01  tff(f23596,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1) | (~comm_semiring_1(X0) | ~semiring_char_0(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f14533])).
% 59.37/10.01  tff(f14533,plain,(
% 59.37/10.01    ! [X0 : $tType] : ((comm_semiring_1(X0) & semiring_char_0(X0)) => ! [X1 : nat] : semiring_char_0_fact(X0,X1) = comm_s3205402744901411588hammer(X0,one_one(X0),X1))),
% 59.37/10.01    inference(rectify,[],[f1702])).
% 59.37/10.01  tff(f1702,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((comm_semiring_1(X0) & semiring_char_0(X0)) => ! [X8 : nat] : semiring_char_0_fact(X0,X8) = comm_s3205402744901411588hammer(X0,one_one(X0),X8))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1701_pochhammer__fact)).
% 59.37/10.01  tff(f76014,plain,(
% 59.37/10.01    spl2737_2140),
% 59.37/10.01    inference(avatar_split_clause,[],[f42871,f76012])).
% 59.37/10.01  tff(f76012,plain,(
% 59.37/10.01    spl2737_2140 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_xz(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2140])])).
% 59.37/10.01  tff(f42871,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_xz(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f23151])).
% 59.37/10.01  tff(f23151,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_xz(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.01    inference(flattening,[],[f23150])).
% 59.37/10.01  tff(f23150,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_xz(X0,X0),X1) = X1 | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.01    inference(ennf_transformation,[],[f14312])).
% 59.37/10.01  tff(f14312,plain,(
% 59.37/10.01    ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_xz(X0,X0),X1) = X1)),
% 59.37/10.01    inference(rectify,[],[f8954])).
% 59.37/10.01  tff(f8954,axiom,(
% 59.37/10.01    ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_xz(X0,X0),X94) = X94)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8953_ATP_Olambda__838)).
% 59.37/10.01  tff(f76010,plain,(
% 59.37/10.01    spl2737_2139),
% 59.37/10.01    inference(avatar_split_clause,[],[f42766,f76008])).
% 59.37/10.01  tff(f76008,plain,(
% 59.37/10.01    spl2737_2139 <=> ! [X1 : $tType,X0 : fun(X1,bool),X3 : X1,X2 : X1] : (order_mono(nat,X1,sK1086(X1,X0,X2,X3)) | ~sP234(X1,X0,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2139])])).
% 59.37/10.01  tff(f42766,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,bool)] : (order_mono(nat,X1,sK1086(X1,X0,X2,X3)) | ~sP234(X1,X0,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30307])).
% 59.37/10.01  tff(f76006,plain,(
% 59.37/10.01    spl2737_2138),
% 59.37/10.01    inference(avatar_split_clause,[],[f42760,f76004])).
% 59.37/10.01  tff(f76004,plain,(
% 59.37/10.01    spl2737_2138 <=> ! [X1 : $tType,X0 : fun(X1,bool),X3 : X1,X2 : X1] : (order_antimono(nat,X1,sK1085(X1,X0,X2,X3)) | ~sP233(X1,X0,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2138])])).
% 59.37/10.01  tff(f42760,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : fun(X1,bool)] : (order_antimono(nat,X1,sK1085(X1,X0,X2,X3)) | ~sP233(X1,X0,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30303])).
% 59.37/10.01  tff(f76002,plain,(
% 59.37/10.01    spl2737_2137),
% 59.37/10.01    inference(avatar_split_clause,[],[f41730,f76000])).
% 59.37/10.01  tff(f76000,plain,(
% 59.37/10.01    spl2737_2137 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),nil(X0)) | ~monoid_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2137])])).
% 59.37/10.01  tff(f41730,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),nil(X0)) | ~monoid_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f22170])).
% 59.37/10.01  tff(f22170,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),nil(X0)) | ~monoid_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5171])).
% 59.37/10.01  tff(f5171,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (monoid_add(X0) => zero_zero(X0) = aa(list(X0),X0,groups8242544230860333062m_list(X0),nil(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5170_sum__list_ONil)).
% 59.37/10.01  tff(f75998,plain,(
% 59.37/10.01    spl2737_2136),
% 59.37/10.01    inference(avatar_split_clause,[],[f41504,f75996])).
% 59.37/10.01  tff(f75996,plain,(
% 59.37/10.01    spl2737_2136 <=> ! [X0 : $tType,X1 : itself(X0)] : (gcd_Gcd(nat,collect(nat,aTP_Lamp_lk(nat,bool))) = semiri4206861660011772517g_char(X0,X1) | ~semiring_1(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2136])])).
% 59.37/10.01  tff(f41504,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : itself(X0)] : (gcd_Gcd(nat,collect(nat,aTP_Lamp_lk(nat,bool))) = semiri4206861660011772517g_char(X0,X1) | ~semiring_1(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21952])).
% 59.37/10.01  tff(f21952,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : itself(X0)] : gcd_Gcd(nat,collect(nat,aTP_Lamp_lk(nat,bool))) = semiri4206861660011772517g_char(X0,X1) | ~semiring_1(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13412])).
% 59.37/10.01  tff(f13412,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : itself(X0)] : gcd_Gcd(nat,collect(nat,aTP_Lamp_lk(nat,bool))) = semiri4206861660011772517g_char(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f4725])).
% 59.37/10.01  tff(f4725,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_1(X0) => ! [X94 : itself(X0)] : semiri4206861660011772517g_char(X0,X94) = gcd_Gcd(nat,collect(nat,aTP_Lamp_lk(nat,bool))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4724_semiring__char__def)).
% 59.37/10.01  tff(f75994,plain,(
% 59.37/10.01    spl2737_2135),
% 59.37/10.01    inference(avatar_split_clause,[],[f41397,f75992])).
% 59.37/10.01  tff(f75992,plain,(
% 59.37/10.01    spl2737_2135 <=> ! [X0 : $tType] : (one_one(X0) = aa(list(X0),X0,groups5270119922927024881d_list(X0),nil(X0)) | ~monoid_mult(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2135])])).
% 59.37/10.01  tff(f41397,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (one_one(X0) = aa(list(X0),X0,groups5270119922927024881d_list(X0),nil(X0)) | ~monoid_mult(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21866])).
% 59.37/10.01  tff(f21866,plain,(
% 59.37/10.01    ! [X0 : $tType] : (one_one(X0) = aa(list(X0),X0,groups5270119922927024881d_list(X0),nil(X0)) | ~monoid_mult(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5593])).
% 59.37/10.01  tff(f5593,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (monoid_mult(X0) => one_one(X0) = aa(list(X0),X0,groups5270119922927024881d_list(X0),nil(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5592_prod__list_ONil)).
% 59.37/10.01  tff(f75990,plain,(
% 59.37/10.01    spl2737_2134 | ~spl2737_228 | ~spl2737_950),
% 59.37/10.01    inference(avatar_split_clause,[],[f69221,f68857,f65359,f75987])).
% 59.37/10.01  tff(f75987,plain,(
% 59.37/10.01    spl2737_2134 <=> sP177(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2134])])).
% 59.37/10.01  tff(f69221,plain,(
% 59.37/10.01    sP177(real) | (~spl2737_228 | ~spl2737_950)),
% 59.37/10.01    inference(resolution,[],[f68858,f65361])).
% 59.37/10.01  tff(f75985,plain,(
% 59.37/10.01    spl2737_2133),
% 59.37/10.01    inference(avatar_split_clause,[],[f41353,f75983])).
% 59.37/10.01  tff(f75983,plain,(
% 59.37/10.01    spl2737_2133 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2133])])).
% 59.37/10.01  tff(f41353,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29696])).
% 59.37/10.01  tff(f75981,plain,(
% 59.37/10.01    spl2737_2132),
% 59.37/10.01    inference(avatar_split_clause,[],[f41352,f75979])).
% 59.37/10.01  tff(f75979,plain,(
% 59.37/10.01    spl2737_2132 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(X2) | ~pp(aa(X0,bool,X1,one_one(X0))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2132])])).
% 59.37/10.01  tff(f41352,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP198(X0,X1,X2) | ~pp(X2) | ~pp(aa(X0,bool,X1,one_one(X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29696])).
% 59.37/10.01  tff(f75977,plain,(
% 59.37/10.01    spl2737_2131),
% 59.37/10.01    inference(avatar_split_clause,[],[f41350,f75975])).
% 59.37/10.01  tff(f75975,plain,(
% 59.37/10.01    spl2737_2131 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2) | ~sP198(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2131])])).
% 59.37/10.01  tff(f41350,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2) | ~sP198(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29696])).
% 59.37/10.01  tff(f75973,plain,(
% 59.37/10.01    spl2737_2130),
% 59.37/10.01    inference(avatar_split_clause,[],[f41349,f75971])).
% 59.37/10.01  tff(f75971,plain,(
% 59.37/10.01    spl2737_2130 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2) | ~sP198(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2130])])).
% 59.37/10.01  tff(f41349,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2) | ~sP198(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29696])).
% 59.37/10.01  tff(f75969,plain,(
% 59.37/10.01    spl2737_2129),
% 59.37/10.01    inference(avatar_split_clause,[],[f41344,f75967])).
% 59.37/10.01  tff(f75967,plain,(
% 59.37/10.01    spl2737_2129 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2129])])).
% 59.37/10.01  tff(f41344,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29693])).
% 59.37/10.01  tff(f75965,plain,(
% 59.37/10.01    spl2737_2128),
% 59.37/10.01    inference(avatar_split_clause,[],[f41343,f75963])).
% 59.37/10.01  tff(f75963,plain,(
% 59.37/10.01    spl2737_2128 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(X2) | ~pp(aa(X0,bool,X1,one_one(X0))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2128])])).
% 59.37/10.01  tff(f41343,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (sP196(X0,X1,X2) | ~pp(X2) | ~pp(aa(X0,bool,X1,one_one(X0)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29693])).
% 59.37/10.01  tff(f75961,plain,(
% 59.37/10.01    spl2737_2127),
% 59.37/10.01    inference(avatar_split_clause,[],[f41341,f75959])).
% 59.37/10.01  tff(f75959,plain,(
% 59.37/10.01    spl2737_2127 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2) | ~sP196(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2127])])).
% 59.37/10.01  tff(f41341,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2) | ~sP196(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29693])).
% 59.37/10.01  tff(f75957,plain,(
% 59.37/10.01    spl2737_2126),
% 59.37/10.01    inference(avatar_split_clause,[],[f41340,f75955])).
% 59.37/10.01  tff(f75955,plain,(
% 59.37/10.01    spl2737_2126 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2) | ~sP196(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2126])])).
% 59.37/10.01  tff(f41340,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : bool,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2) | ~sP196(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29693])).
% 59.37/10.01  tff(f75953,plain,(
% 59.37/10.01    spl2737_2125),
% 59.37/10.01    inference(avatar_split_clause,[],[f41336,f75951])).
% 59.37/10.01  tff(f75951,plain,(
% 59.37/10.01    spl2737_2125 <=> ! [X0 : $tType,X1 : bool] : (~pp(X1) | zero_zero(X0) != aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~zero_neq_one(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2125])])).
% 59.37/10.01  tff(f41336,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : bool] : (~pp(X1) | zero_zero(X0) != aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~zero_neq_one(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29690])).
% 59.37/10.01  tff(f29690,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : bool] : ((zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | pp(X1)) & (~pp(X1) | zero_zero(X0) != aa(bool,X0,zero_neq_one_of_bool(X0),X1))) | ~zero_neq_one(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f21833])).
% 59.37/10.01  tff(f21833,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : bool] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) <=> ~pp(X1)) | ~zero_neq_one(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13316])).
% 59.37/10.01  tff(f13316,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : bool] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) <=> ~pp(X1)))),
% 59.37/10.01    inference(rectify,[],[f3177])).
% 59.37/10.01  tff(f3177,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X17 : bool] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X17) <=> ~pp(X17)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3176_of__bool__eq__0__iff)).
% 59.37/10.01  tff(f75949,plain,(
% 59.37/10.01    spl2737_2124),
% 59.37/10.01    inference(avatar_split_clause,[],[f41334,f75947])).
% 59.37/10.01  tff(f75947,plain,(
% 59.37/10.01    spl2737_2124 <=> ! [X0 : $tType,X1 : bool] : (pp(X1) | one_one(X0) != aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~zero_neq_one(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2124])])).
% 59.37/10.01  tff(f41334,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : bool] : (pp(X1) | one_one(X0) != aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~zero_neq_one(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29689])).
% 59.37/10.01  tff(f29689,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : bool] : ((one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~pp(X1)) & (pp(X1) | one_one(X0) != aa(bool,X0,zero_neq_one_of_bool(X0),X1))) | ~zero_neq_one(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f21832])).
% 59.37/10.01  tff(f21832,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : bool] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) <=> pp(X1)) | ~zero_neq_one(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13315])).
% 59.37/10.01  tff(f13315,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : bool] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) <=> pp(X1)))),
% 59.37/10.01    inference(rectify,[],[f3180])).
% 59.37/10.01  tff(f3180,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X17 : bool] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X17) <=> pp(X17)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3179_of__bool__eq__1__iff)).
% 59.37/10.01  tff(f75945,plain,(
% 59.37/10.01    spl2737_2123 | ~spl2737_226 | ~spl2737_950),
% 59.37/10.01    inference(avatar_split_clause,[],[f69220,f68857,f65349,f75942])).
% 59.37/10.01  tff(f75942,plain,(
% 59.37/10.01    spl2737_2123 <=> sP177(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2123])])).
% 59.37/10.01  tff(f69220,plain,(
% 59.37/10.01    sP177(code_integer) | (~spl2737_226 | ~spl2737_950)),
% 59.37/10.01    inference(resolution,[],[f68858,f65351])).
% 59.37/10.01  tff(f75940,plain,(
% 59.37/10.01    spl2737_2122),
% 59.37/10.01    inference(avatar_split_clause,[],[f41333,f75938])).
% 59.37/10.01  tff(f75938,plain,(
% 59.37/10.01    spl2737_2122 <=> ! [X0 : $tType,X1 : bool] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | pp(X1) | ~zero_neq_one(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2122])])).
% 59.37/10.01  tff(f41333,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : bool] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | pp(X1) | ~zero_neq_one(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21831])).
% 59.37/10.01  tff(f21831,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : bool] : ((zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | pp(X1)) & (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~pp(X1))) | ~zero_neq_one(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13314])).
% 59.37/10.01  tff(f13314,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : bool] : ((~pp(X1) => zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1)) & (pp(X1) => one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1))))),
% 59.37/10.01    inference(rectify,[],[f3216])).
% 59.37/10.01  tff(f3216,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X136 : bool] : ((~pp(X136) => zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X136)) & (pp(X136) => one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X136))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3215_of__bool__def)).
% 59.37/10.01  tff(f75936,plain,(
% 59.37/10.01    spl2737_2121),
% 59.37/10.01    inference(avatar_split_clause,[],[f41332,f75934])).
% 59.37/10.01  tff(f75934,plain,(
% 59.37/10.01    spl2737_2121 <=> ! [X0 : $tType,X1 : bool] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~pp(X1) | ~zero_neq_one(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2121])])).
% 59.37/10.01  tff(f41332,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : bool] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),X1) | ~pp(X1) | ~zero_neq_one(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21831])).
% 59.37/10.01  tff(f75932,plain,(
% 59.37/10.01    spl2737_2120),
% 59.37/10.01    inference(avatar_split_clause,[],[f41194,f75930])).
% 59.37/10.01  tff(f75930,plain,(
% 59.37/10.01    spl2737_2120 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~semidom_divide(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2120])])).
% 59.37/10.01  tff(f41194,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~semidom_divide(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21701])).
% 59.37/10.01  tff(f21701,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1) | ~semidom_divide(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13224])).
% 59.37/10.01  tff(f13224,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : (zero_zero(X0) != X1 => one_one(X0) = divide_divide(X0,X1,X1)))),
% 59.37/10.01    inference(rectify,[],[f964])).
% 59.37/10.01  tff(f964,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semidom_divide(X0) => ! [X7 : X0] : (zero_zero(X0) != X7 => one_one(X0) = divide_divide(X0,X7,X7)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_963_div__self)).
% 59.37/10.01  tff(f75928,plain,(
% 59.37/10.01    spl2737_2119),
% 59.37/10.01    inference(avatar_split_clause,[],[f41163,f75926])).
% 59.37/10.01  tff(f75926,plain,(
% 59.37/10.01    spl2737_2119 <=> ! [X0 : $tType,X1 : X0] : (order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)) | ~ordere6658533253407199908up_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2119])])).
% 59.37/10.01  tff(f41163,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)) | ~ordere6658533253407199908up_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21670])).
% 59.37/10.01  tff(f21670,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)) | ~ordere6658533253407199908up_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f13199])).
% 59.37/10.01  tff(f13199,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ordere6658533253407199908up_add(X0) => ! [X1 : X0] : order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1)))),
% 59.37/10.01    inference(rectify,[],[f5603])).
% 59.37/10.01  tff(f5603,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ordere6658533253407199908up_add(X0) => ! [X7 : X0] : order_mono(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X7)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5602_mono__add)).
% 59.37/10.01  tff(f75924,plain,(
% 59.37/10.01    spl2737_2118),
% 59.37/10.01    inference(avatar_split_clause,[],[f40672,f75922])).
% 59.37/10.01  tff(f75922,plain,(
% 59.37/10.01    spl2737_2118 <=> ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~neg_numeral_is_num(X0,X1) | ~neg_numeral(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2118])])).
% 59.37/10.01  tff(f40672,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~neg_numeral_is_num(X0,X1) | ~neg_numeral(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21215])).
% 59.37/10.01  tff(f21215,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : (neg_numeral_is_num(X0,aa(X0,X0,uminus_uminus(X0),X1)) | ~neg_numeral_is_num(X0,X1)) | ~neg_numeral(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12857])).
% 59.37/10.01  tff(f12857,plain,(
% 59.37/10.01    ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : X0] : (neg_numeral_is_num(X0,X1) => neg_numeral_is_num(X0,aa(X0,X0,uminus_uminus(X0),X1))))),
% 59.37/10.01    inference(rectify,[],[f7769])).
% 59.37/10.01  tff(f7769,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (neg_numeral(X0) => ! [X14 : X0] : (neg_numeral_is_num(X0,X14) => neg_numeral_is_num(X0,aa(X0,X0,uminus_uminus(X0),X14))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7768_is__num__normalize_I5_J)).
% 59.37/10.01  tff(f75920,plain,(
% 59.37/10.01    spl2737_2117),
% 59.37/10.01    inference(avatar_split_clause,[],[f40588,f75918])).
% 59.37/10.01  tff(f75918,plain,(
% 59.37/10.01    spl2737_2117 <=> ! [X0 : $tType] : (bij_betw(X0,X0,uminus_uminus(X0),top_top(set(X0)),top_top(set(X0))) | ~ab_group_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2117])])).
% 59.37/10.01  tff(f40588,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (bij_betw(X0,X0,uminus_uminus(X0),top_top(set(X0)),top_top(set(X0))) | ~ab_group_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21131])).
% 59.37/10.01  tff(f21131,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bij_betw(X0,X0,uminus_uminus(X0),top_top(set(X0)),top_top(set(X0))) | ~ab_group_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f5613])).
% 59.37/10.01  tff(f5613,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ab_group_add(X0) => bij_betw(X0,X0,uminus_uminus(X0),top_top(set(X0)),top_top(set(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5612_bij__uminus)).
% 59.37/10.01  tff(f75916,plain,(
% 59.37/10.01    spl2737_2116),
% 59.37/10.01    inference(avatar_split_clause,[],[f39855,f75914])).
% 59.37/10.01  tff(f75914,plain,(
% 59.37/10.01    spl2737_2116 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2116])])).
% 59.37/10.01  tff(f39855,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20689])).
% 59.37/10.01  tff(f20689,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12401])).
% 59.37/10.01  tff(f12401,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X1),zero_zero(X0)))),
% 59.37/10.01    inference(rectify,[],[f3506])).
% 59.37/10.01  tff(f3506,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4730199178511100633sh_bit(X0,X8),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3505_push__bit__of__0)).
% 59.37/10.01  tff(f75912,plain,(
% 59.37/10.01    spl2737_2115),
% 59.37/10.01    inference(avatar_split_clause,[],[f39854,f75910])).
% 59.37/10.01  tff(f75910,plain,(
% 59.37/10.01    spl2737_2115 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2115])])).
% 59.37/10.01  tff(f39854,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20688])).
% 59.37/10.01  tff(f20688,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12400])).
% 59.37/10.01  tff(f12400,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),zero_zero(X0)))),
% 59.37/10.01    inference(rectify,[],[f4520])).
% 59.37/10.01  tff(f4520,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : zero_zero(X0) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,X8),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4519_drop__bit__of__0)).
% 59.37/10.01  tff(f75908,plain,(
% 59.37/10.01    spl2737_2114),
% 59.37/10.01    inference(avatar_split_clause,[],[f39660,f75906])).
% 59.37/10.01  tff(f75906,plain,(
% 59.37/10.01    spl2737_2114 <=> ! [X0 : $tType,X1 : set(X0)] : (condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~condit1013018076250108175_below(X0,X1) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2114])])).
% 59.37/10.01  tff(f39660,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~condit1013018076250108175_below(X0,X1) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29156])).
% 59.37/10.01  tff(f29156,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : ((condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~condit1013018076250108175_below(X0,X1)) & (condit1013018076250108175_below(X0,X1) | ~condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)))) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f20545])).
% 59.37/10.01  tff(f20545,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : (condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)) <=> condit1013018076250108175_below(X0,X1)) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12293])).
% 59.37/10.01  tff(f12293,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X1 : set(X0)] : (condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)) <=> condit1013018076250108175_below(X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f7479])).
% 59.37/10.01  tff(f7479,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X148 : set(X0)] : (condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X148)) <=> condit1013018076250108175_below(X0,X148)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7478_bdd__above__uminus)).
% 59.37/10.01  tff(f75904,plain,(
% 59.37/10.01    spl2737_2113),
% 59.37/10.01    inference(avatar_split_clause,[],[f39659,f75902])).
% 59.37/10.01  tff(f75902,plain,(
% 59.37/10.01    spl2737_2113 <=> ! [X0 : $tType,X1 : set(X0)] : (condit1013018076250108175_below(X0,X1) | ~condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2113])])).
% 59.37/10.01  tff(f39659,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (condit1013018076250108175_below(X0,X1) | ~condit941137186595557371_above(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29156])).
% 59.37/10.01  tff(f75900,plain,(
% 59.37/10.01    spl2737_2112 | ~spl2737_229 | ~spl2737_949),
% 59.37/10.01    inference(avatar_split_clause,[],[f69219,f68853,f65364,f75897])).
% 59.37/10.01  tff(f75897,plain,(
% 59.37/10.01    spl2737_2112 <=> sP175(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2112])])).
% 59.37/10.01  tff(f68853,plain,(
% 59.37/10.01    spl2737_949 <=> ! [X0 : $tType] : (sP175(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_949])])).
% 59.37/10.01  tff(f69219,plain,(
% 59.37/10.01    sP175(int) | (~spl2737_229 | ~spl2737_949)),
% 59.37/10.01    inference(resolution,[],[f68854,f65366])).
% 59.37/10.01  tff(f68854,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP175(X0)) ) | ~spl2737_949),
% 59.37/10.01    inference(avatar_component_clause,[],[f68853])).
% 59.37/10.01  tff(f75895,plain,(
% 59.37/10.01    spl2737_2111),
% 59.37/10.01    inference(avatar_split_clause,[],[f39658,f75893])).
% 59.37/10.01  tff(f75893,plain,(
% 59.37/10.01    spl2737_2111 <=> ! [X0 : $tType,X1 : set(X0)] : (condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~condit941137186595557371_above(X0,X1) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2111])])).
% 59.37/10.01  tff(f39658,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~condit941137186595557371_above(X0,X1) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29155])).
% 59.37/10.01  tff(f29155,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : ((condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~condit941137186595557371_above(X0,X1)) & (condit941137186595557371_above(X0,X1) | ~condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)))) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f20544])).
% 59.37/10.01  tff(f20544,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : set(X0)] : (condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)) <=> condit941137186595557371_above(X0,X1)) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12292])).
% 59.37/10.01  tff(f12292,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X1 : set(X0)] : (condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)) <=> condit941137186595557371_above(X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f7478])).
% 59.37/10.01  tff(f7478,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X148 : set(X0)] : (condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X148)) <=> condit941137186595557371_above(X0,X148)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7477_bdd__below__uminus)).
% 59.37/10.01  tff(f75891,plain,(
% 59.37/10.01    spl2737_2110),
% 59.37/10.01    inference(avatar_split_clause,[],[f39657,f75889])).
% 59.37/10.01  tff(f75889,plain,(
% 59.37/10.01    spl2737_2110 <=> ! [X0 : $tType,X1 : set(X0)] : (condit941137186595557371_above(X0,X1) | ~condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~ordered_ab_group_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2110])])).
% 59.37/10.01  tff(f39657,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (condit941137186595557371_above(X0,X1) | ~condit1013018076250108175_below(X0,image(X0,X0,uminus_uminus(X0),X1)) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29155])).
% 59.37/10.01  tff(f75887,plain,(
% 59.37/10.01    spl2737_2109),
% 59.37/10.01    inference(avatar_split_clause,[],[f39469,f75885])).
% 59.37/10.01  tff(f39469,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,bool)) | ~bit_semiring_bits(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20431])).
% 59.37/10.01  tff(f20431,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,bool)) | ~bit_semiring_bits(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f3361])).
% 59.37/10.01  tff(f3361,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_semiring_bits(X0) => bit_se5641148757651400278ts_bit(X0,zero_zero(X0)) = bot_bot(fun(nat,bool)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3360_bit__0__eq)).
% 59.37/10.01  tff(f75883,plain,(
% 59.37/10.01    spl2737_2108),
% 59.37/10.01    inference(avatar_split_clause,[],[f39331,f75881])).
% 59.37/10.01  tff(f75881,plain,(
% 59.37/10.01    spl2737_2108 <=> ! [X0 : $tType,X1 : nat] : (one_one(X0) = euclid7384307370059645450egment(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2108])])).
% 59.37/10.01  tff(f39331,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = euclid7384307370059645450egment(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~euclid5411537665997757685th_nat(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20309])).
% 59.37/10.01  tff(f20309,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : one_one(X0) = euclid7384307370059645450egment(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12080])).
% 59.37/10.01  tff(f12080,plain,(
% 59.37/10.01    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X1 : nat] : one_one(X0) = euclid7384307370059645450egment(X0,aa(nat,X0,semiring_1_of_nat(X0),X1)))),
% 59.37/10.01    inference(rectify,[],[f7038])).
% 59.37/10.01  tff(f7038,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X8 : nat] : one_one(X0) = euclid7384307370059645450egment(X0,aa(nat,X0,semiring_1_of_nat(X0),X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7037_division__segment__of__nat)).
% 59.37/10.01  tff(f75879,plain,(
% 59.37/10.01    spl2737_2107),
% 59.37/10.01    inference(avatar_split_clause,[],[f39330,f75877])).
% 59.37/10.01  tff(f75877,plain,(
% 59.37/10.01    spl2737_2107 <=> ! [X0 : $tType,X1 : num] : (one_one(X0) = euclid7384307370059645450egment(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2107])])).
% 59.37/10.01  tff(f39330,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = euclid7384307370059645450egment(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~euclid5411537665997757685th_nat(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20308])).
% 59.37/10.01  tff(f20308,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : num] : one_one(X0) = euclid7384307370059645450egment(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12079])).
% 59.37/10.01  tff(f12079,plain,(
% 59.37/10.01    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X1 : num] : one_one(X0) = euclid7384307370059645450egment(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 59.37/10.01    inference(rectify,[],[f7037])).
% 59.37/10.01  tff(f7037,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => ! [X18 : num] : one_one(X0) = euclid7384307370059645450egment(X0,aa(num,X0,numeral_numeral(X0),X18)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7036_division__segment__numeral)).
% 59.37/10.01  tff(f75875,plain,(
% 59.37/10.01    spl2737_2106),
% 59.37/10.01    inference(avatar_split_clause,[],[f39100,f75873])).
% 59.37/10.01  tff(f75873,plain,(
% 59.37/10.01    spl2737_2106 <=> ! [X2 : $tType,X0 : X2,X1 : X2] : (modulo_modulo(X2,X0,X1) = sK762(X2,X0,X1) | ~sP129(X2,X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2106])])).
% 59.37/10.01  tff(f39100,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X0 : X2,X1 : X2] : (modulo_modulo(X2,X0,X1) = sK762(X2,X0,X1) | ~sP129(X2,X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28962])).
% 59.37/10.01  tff(f75871,plain,(
% 59.37/10.01    spl2737_2105),
% 59.37/10.01    inference(avatar_split_clause,[],[f39099,f75869])).
% 59.37/10.01  tff(f75869,plain,(
% 59.37/10.01    spl2737_2105 <=> ! [X2 : $tType,X0 : X2,X1 : X2] : (divide_divide(X2,X0,X1) = sK761(X2,X0,X1) | ~sP129(X2,X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2105])])).
% 59.37/10.01  tff(f39099,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X0 : X2,X1 : X2] : (divide_divide(X2,X0,X1) = sK761(X2,X0,X1) | ~sP129(X2,X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28962])).
% 59.37/10.01  tff(f75867,plain,(
% 59.37/10.01    spl2737_2104),
% 59.37/10.01    inference(avatar_split_clause,[],[f38936,f75865])).
% 59.37/10.01  tff(f75865,plain,(
% 59.37/10.01    spl2737_2104 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (divide_divide(X0,X2,X3) = X1 | ~sP107(X0,X1,X3,X2) | ~sP108(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2104])])).
% 59.37/10.01  tff(f38936,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X2,X3) = X1 | ~sP107(X0,X1,X3,X2) | ~sP108(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28899])).
% 59.37/10.01  tff(f28899,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X2,X3) = X1 | ~sP107(X0,X1,X3,X2)) & (sP107(X0,X1,X3,X2) | divide_divide(X0,X2,X3) != X1)) | ~sP108(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27245])).
% 59.37/10.01  tff(f27245,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X2,X3) = X1 <=> sP107(X0,X1,X3,X2)) | ~sP108(X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])])).
% 59.37/10.01  tff(f75863,plain,(
% 59.37/10.01    spl2737_2103),
% 59.37/10.01    inference(avatar_split_clause,[],[f38927,f75861])).
% 59.37/10.01  tff(f75861,plain,(
% 59.37/10.01    spl2737_2103 <=> ! [X0 : $tType,X3 : X0,X2 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = X3 | ~sP105(X0,X3,X2,X1) | ~sP106(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2103])])).
% 59.37/10.01  tff(f38927,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (divide_divide(X0,X1,X2) = X3 | ~sP105(X0,X3,X2,X1) | ~sP106(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28895])).
% 59.37/10.01  tff(f28895,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((divide_divide(X0,X1,X2) = X3 | ~sP105(X0,X3,X2,X1)) & (sP105(X0,X3,X2,X1) | divide_divide(X0,X1,X2) != X3)) | ~sP106(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27242])).
% 59.37/10.01  tff(f27242,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = X3 <=> sP105(X0,X3,X2,X1)) | ~sP106(X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])])).
% 59.37/10.01  tff(f75859,plain,(
% 59.37/10.01    spl2737_2102),
% 59.37/10.01    inference(avatar_split_clause,[],[f38878,f75857])).
% 59.37/10.01  tff(f75857,plain,(
% 59.37/10.01    spl2737_2102 <=> ! [X0 : $tType,X2 : int,X1 : X0] : (zero_zero(X0) != power_int(X0,X1,X2) | zero_zero(X0) = X1 | ~division_ring(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2102])])).
% 59.37/10.01  tff(f38878,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : int,X1 : X0] : (zero_zero(X0) != power_int(X0,X1,X2) | zero_zero(X0) = X1 | ~division_ring(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20103])).
% 59.37/10.01  tff(f20103,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : int] : (zero_zero(X0) != power_int(X0,X1,X2) | (zero_zero(int) != X2 & zero_zero(X0) = X1)) | ~division_ring(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11908])).
% 59.37/10.01  tff(f11908,plain,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : int] : ((zero_zero(int) = X2 | zero_zero(X0) != X1) => zero_zero(X0) != power_int(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f2184])).
% 59.37/10.01  tff(f2184,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X14 : X0,X8 : int] : ((zero_zero(int) = X8 | zero_zero(X0) != X14) => zero_zero(X0) != power_int(X0,X14,X8)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2183_power__int__not__zero)).
% 59.37/10.01  tff(f75855,plain,(
% 59.37/10.01    spl2737_2101 | ~spl2737_227 | ~spl2737_949),
% 59.37/10.01    inference(avatar_split_clause,[],[f69218,f68853,f65354,f75852])).
% 59.37/10.01  tff(f75852,plain,(
% 59.37/10.01    spl2737_2101 <=> sP175(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2101])])).
% 59.37/10.01  tff(f69218,plain,(
% 59.37/10.01    sP175(rat) | (~spl2737_227 | ~spl2737_949)),
% 59.37/10.01    inference(resolution,[],[f68854,f65356])).
% 59.37/10.01  tff(f75850,plain,(
% 59.37/10.01    spl2737_2100),
% 59.37/10.01    inference(avatar_split_clause,[],[f38833,f75848])).
% 59.37/10.01  tff(f75848,plain,(
% 59.37/10.01    spl2737_2100 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~division_ring(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2100])])).
% 59.37/10.01  tff(f38833,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1 | ~division_ring(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20057])).
% 59.37/10.01  tff(f20057,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : ((one_one(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) = X1) & (zero_zero(X0) = divide_divide(X0,X1,X1) | zero_zero(X0) != X1)) | ~division_ring(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11868])).
% 59.37/10.01  tff(f11868,plain,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : ((zero_zero(X0) != X1 => one_one(X0) = divide_divide(X0,X1,X1)) & (zero_zero(X0) = X1 => zero_zero(X0) = divide_divide(X0,X1,X1))))),
% 59.37/10.01    inference(rectify,[],[f968])).
% 59.37/10.01  tff(f968,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0] : ((zero_zero(X0) != X7 => one_one(X0) = divide_divide(X0,X7,X7)) & (zero_zero(X0) = X7 => zero_zero(X0) = divide_divide(X0,X7,X7))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_967_divide__self__if)).
% 59.37/10.01  tff(f75846,plain,(
% 59.37/10.01    spl2737_2099),
% 59.37/10.01    inference(avatar_split_clause,[],[f38655,f75844])).
% 59.37/10.01  tff(f75844,plain,(
% 59.37/10.01    spl2737_2099 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1 | ~field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2099])])).
% 59.37/10.01  tff(f38655,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1 | ~field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19903])).
% 59.37/10.01  tff(f19903,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1 | ~field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11735])).
% 59.37/10.01  tff(f11735,plain,(
% 59.37/10.01    ! [X0 : $tType] : (field(X0) => ! [X1 : X0] : divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),one2)) = X1)),
% 59.37/10.01    inference(rectify,[],[f2435])).
% 59.37/10.01  tff(f2435,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (field(X0) => ! [X7 : X0] : divide_divide(X0,X7,aa(num,X0,numeral_numeral(X0),one2)) = X7)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2434_divide__numeral__1)).
% 59.37/10.01  tff(f75842,plain,(
% 59.37/10.01    spl2737_2098),
% 59.37/10.01    inference(avatar_split_clause,[],[f38460,f75840])).
% 59.37/10.01  tff(f75840,plain,(
% 59.37/10.01    spl2737_2098 <=> ! [X0 : $tType,X2 : filter(real),X1 : X0] : (has_ve8173657378732805170vative(X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),zero_zero(X0),X2) | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2098])])).
% 59.37/10.01  tff(f38460,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : filter(real),X1 : X0] : (has_ve8173657378732805170vative(X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),zero_zero(X0),X2) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19710])).
% 59.37/10.01  tff(f19710,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : filter(real)] : has_ve8173657378732805170vative(X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),zero_zero(X0),X2) | ~real_V822414075346904944vector(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11580])).
% 59.37/10.01  tff(f11580,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0,X2 : filter(real)] : has_ve8173657378732805170vative(X0,aTP_Lamp_aeh(X0,fun(real,X0),X1),zero_zero(X0),X2))),
% 59.37/10.01    inference(rectify,[],[f7251])).
% 59.37/10.01  tff(f7251,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X50 : X0,X332 : filter(real)] : has_ve8173657378732805170vative(X0,aTP_Lamp_aeh(X0,fun(real,X0),X50),zero_zero(X0),X332))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7250_has__vector__derivative__const)).
% 59.37/10.01  tff(f75838,plain,(
% 59.37/10.01    spl2737_2097),
% 59.37/10.01    inference(avatar_split_clause,[],[f38327,f75836])).
% 59.37/10.01  tff(f75836,plain,(
% 59.37/10.01    spl2737_2097 <=> ! [X0 : $tType,X2 : filter(X0),X1 : X0] : (has_field_derivative(X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),zero_zero(X0),X2) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2097])])).
% 59.37/10.01  tff(f38327,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : filter(X0),X1 : X0] : (has_field_derivative(X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),zero_zero(X0),X2) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19601])).
% 59.37/10.01  tff(f19601,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),zero_zero(X0),X2) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11489])).
% 59.37/10.01  tff(f11489,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0,X2 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_qq(X0,fun(X0,X0),X1),zero_zero(X0),X2))),
% 59.37/10.01    inference(rectify,[],[f5776])).
% 59.37/10.01  tff(f5776,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X18 : X0,X121 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_qq(X0,fun(X0,X0),X18),zero_zero(X0),X121))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5775_DERIV__const)).
% 59.37/10.01  tff(f75834,plain,(
% 59.37/10.01    spl2737_2096),
% 59.37/10.01    inference(avatar_split_clause,[],[f37485,f75832])).
% 59.37/10.01  tff(f75832,plain,(
% 59.37/10.01    spl2737_2096 <=> ! [X0 : $tType,X1 : int] : (zero_zero(X0) = archimedean_frac(X0,aa(int,X0,ring_1_of_int(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2096])])).
% 59.37/10.01  tff(f37485,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : int] : (zero_zero(X0) = archimedean_frac(X0,aa(int,X0,ring_1_of_int(X0),X1)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f19179])).
% 59.37/10.01  tff(f19179,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : int] : zero_zero(X0) = archimedean_frac(X0,aa(int,X0,ring_1_of_int(X0),X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f11146])).
% 59.37/10.01  tff(f11146,plain,(
% 59.37/10.01    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : int] : zero_zero(X0) = archimedean_frac(X0,aa(int,X0,ring_1_of_int(X0),X1)))),
% 59.37/10.01    inference(rectify,[],[f1560])).
% 59.37/10.01  tff(f1560,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X60 : int] : zero_zero(X0) = archimedean_frac(X0,aa(int,X0,ring_1_of_int(X0),X60)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1559_frac__of__int)).
% 59.37/10.01  tff(f75830,plain,(
% 59.37/10.01    spl2737_2095),
% 59.37/10.01    inference(avatar_split_clause,[],[f37463,f75828])).
% 59.37/10.01  tff(f75828,plain,(
% 59.37/10.01    spl2737_2095 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 | ~sP29(X1,X0,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2095])])).
% 59.37/10.01  tff(f37463,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 | ~sP29(X1,X0,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28417])).
% 59.37/10.01  tff(f75826,plain,(
% 59.37/10.01    spl2737_2094),
% 59.37/10.01    inference(avatar_split_clause,[],[f37453,f75824])).
% 59.37/10.01  tff(f75824,plain,(
% 59.37/10.01    spl2737_2094 <=> ! [X1 : $tType,X0 : X1,X3 : X1,X2 : X1] : (aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 | ~sP27(X1,X0,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2094])])).
% 59.37/10.01  tff(f37453,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (aa(X1,X1,normal6383669964737779283malize(X1),X0) = X0 | ~sP27(X1,X0,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28411])).
% 59.37/10.01  tff(f75822,plain,(
% 59.37/10.01    spl2737_2093),
% 59.37/10.01    inference(avatar_split_clause,[],[f37120,f75820])).
% 59.37/10.01  tff(f75820,plain,(
% 59.37/10.01    spl2737_2093 <=> ! [X0 : $tType,X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),sK672(X0,X1))) | ~sP19(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2093])])).
% 59.37/10.01  tff(f37120,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (pp(aa(set(X0),bool,finite_finite(X0),sK672(X0,X1))) | ~sP19(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28278])).
% 59.37/10.01  tff(f75818,plain,(
% 59.37/10.01    spl2737_2092),
% 59.37/10.01    inference(avatar_split_clause,[],[f37100,f75816])).
% 59.37/10.01  tff(f75816,plain,(
% 59.37/10.01    spl2737_2092 <=> ! [X0 : $tType,X1 : set(X0)] : (sP14(X0,X1) | pp(aa(set(X0),bool,finite_finite(X0),sK665(X0,X1))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2092])])).
% 59.37/10.01  tff(f37100,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (sP14(X0,X1) | pp(aa(set(X0),bool,finite_finite(X0),sK665(X0,X1)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28260])).
% 59.37/10.01  tff(f75814,plain,(
% 59.37/10.01    spl2737_2091),
% 59.37/10.01    inference(avatar_split_clause,[],[f37092,f75812])).
% 59.37/10.01  tff(f75812,plain,(
% 59.37/10.01    spl2737_2091 <=> ! [X0 : $tType,X1 : set(X0)] : (sP12(X0,X1) | pp(aa(set(X0),bool,finite_finite(X0),sK662(X0,X1))))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2091])])).
% 59.37/10.01  tff(f37092,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : set(X0)] : (sP12(X0,X1) | pp(aa(set(X0),bool,finite_finite(X0),sK662(X0,X1)))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28255])).
% 59.37/10.01  tff(f75810,plain,(
% 59.37/10.01    spl2737_2090 | ~spl2737_228 | ~spl2737_949),
% 59.37/10.01    inference(avatar_split_clause,[],[f69217,f68853,f65359,f75807])).
% 59.37/10.01  tff(f75807,plain,(
% 59.37/10.01    spl2737_2090 <=> sP175(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2090])])).
% 59.37/10.01  tff(f69217,plain,(
% 59.37/10.01    sP175(real) | (~spl2737_228 | ~spl2737_949)),
% 59.37/10.01    inference(resolution,[],[f68854,f65361])).
% 59.37/10.01  tff(f75805,plain,(
% 59.37/10.01    spl2737_2089),
% 59.37/10.01    inference(avatar_split_clause,[],[f36958,f75803])).
% 59.37/10.01  tff(f75803,plain,(
% 59.37/10.01    spl2737_2089 <=> ! [X0 : $tType] : (monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2089])])).
% 59.37/10.01  tff(f36958,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18820])).
% 59.37/10.01  tff(f18820,plain,(
% 59.37/10.01    ! [X0 : $tType] : (monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f7395])).
% 59.37/10.01  tff(f7395,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7394_and_Omonoid__axioms)).
% 59.37/10.01  tff(f75801,plain,(
% 59.37/10.01    spl2737_2088),
% 59.37/10.01    inference(avatar_split_clause,[],[f36957,f75799])).
% 59.37/10.01  tff(f75799,plain,(
% 59.37/10.01    spl2737_2088 <=> ! [X0 : $tType] : (comm_monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2088])])).
% 59.37/10.01  tff(f36957,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (comm_monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18819])).
% 59.37/10.01  tff(f18819,plain,(
% 59.37/10.01    ! [X0 : $tType] : (comm_monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f7750])).
% 59.37/10.01  tff(f7750,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => comm_monoid(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7749_and_Ocomm__monoid__axioms)).
% 59.37/10.01  tff(f75797,plain,(
% 59.37/10.01    spl2737_2087),
% 59.37/10.01    inference(avatar_split_clause,[],[f36956,f75795])).
% 59.37/10.01  tff(f75795,plain,(
% 59.37/10.01    spl2737_2087 <=> ! [X0 : $tType] : (semilattice_neutr(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2087])])).
% 59.37/10.01  tff(f36956,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (semilattice_neutr(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18818])).
% 59.37/10.01  tff(f18818,plain,(
% 59.37/10.01    ! [X0 : $tType] : (semilattice_neutr(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f7342])).
% 59.37/10.01  tff(f7342,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => semilattice_neutr(X0,bit_se5824344872417868541ns_and(X0),aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7341_and_Osemilattice__neutr__axioms)).
% 59.37/10.01  tff(f75793,plain,(
% 59.37/10.01    spl2737_2086),
% 59.37/10.01    inference(avatar_split_clause,[],[f36927,f75791])).
% 59.37/10.01  tff(f75791,plain,(
% 59.37/10.01    spl2737_2086 <=> ! [X0 : $tType] : (filterlim(X0,X0,inverse_inverse(X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_infinity(X0)) | ~real_V8999393235501362500lgebra(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2086])])).
% 59.37/10.01  tff(f36927,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (filterlim(X0,X0,inverse_inverse(X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_infinity(X0)) | ~real_V8999393235501362500lgebra(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f18789])).
% 59.37/10.01  tff(f18789,plain,(
% 59.37/10.01    ! [X0 : $tType] : (filterlim(X0,X0,inverse_inverse(X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_infinity(X0)) | ~real_V8999393235501362500lgebra(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f6048])).
% 59.37/10.01  tff(f6048,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => filterlim(X0,X0,inverse_inverse(X0),topolo7230453075368039082e_nhds(X0,zero_zero(X0)),at_infinity(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6047_tendsto__inverse__0)).
% 59.37/10.01  tff(f75789,plain,(
% 59.37/10.01    spl2737_2085),
% 59.37/10.01    inference(avatar_split_clause,[],[f36451,f75787])).
% 59.37/10.01  tff(f75787,plain,(
% 59.37/10.01    spl2737_2085 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != powr(X0,X1,X2) | ~ln(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2085])])).
% 59.37/10.01  tff(f36451,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != powr(X0,X1,X2) | ~ln(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f27972])).
% 59.37/10.01  tff(f27972,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((zero_zero(X0) = powr(X0,X1,X2) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != powr(X0,X1,X2))) | ~ln(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f18467])).
% 59.37/10.01  tff(f18467,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (zero_zero(X0) = powr(X0,X1,X2) <=> zero_zero(X0) = X1) | ~ln(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10557])).
% 59.37/10.01  tff(f10557,plain,(
% 59.37/10.01    ! [X0 : $tType] : (ln(X0) => ! [X1 : X0,X2 : X0] : (zero_zero(X0) = powr(X0,X1,X2) <=> zero_zero(X0) = X1))),
% 59.37/10.01    inference(rectify,[],[f1602])).
% 59.37/10.01  tff(f1602,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (ln(X0) => ! [X61 : X0,X60 : X0] : (zero_zero(X0) = powr(X0,X61,X60) <=> zero_zero(X0) = X61))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1601_powr__eq__0__iff)).
% 59.37/10.01  tff(f75782,plain,(
% 59.37/10.01    spl2737_2084 | ~spl2737_2083),
% 59.37/10.01    inference(avatar_split_clause,[],[f75778,f75775,f75780])).
% 59.37/10.01  tff(f75775,plain,(
% 59.37/10.01    spl2737_2083 <=> ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2083])])).
% 59.37/10.01  tff(f75778,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,ord_less_eq(nat),X0),X0))) ) | ~spl2737_2083),
% 59.37/10.01    inference(forward_demodulation,[],[f75776,f50171])).
% 59.37/10.01  tff(f75776,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X0))) ) | ~spl2737_2083),
% 59.37/10.01    inference(avatar_component_clause,[],[f75775])).
% 59.37/10.01  tff(f75777,plain,(
% 59.37/10.01    spl2737_2083),
% 59.37/10.01    inference(avatar_split_clause,[],[f35882,f75775])).
% 59.37/10.01  tff(f35882,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10047])).
% 59.37/10.01  tff(f10047,plain,(
% 59.37/10.01    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X0))),
% 59.37/10.01    inference(rectify,[],[f793])).
% 59.37/10.01  tff(f793,axiom,(
% 59.37/10.01    ! [X8 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X8),X8))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_792_le__refl)).
% 59.37/10.01  tff(f75770,plain,(
% 59.37/10.01    spl2737_2082 | ~spl2737_2080),
% 59.37/10.01    inference(avatar_split_clause,[],[f75761,f75758,f75768])).
% 59.37/10.01  tff(f75758,plain,(
% 59.37/10.01    spl2737_2080 <=> ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2080])])).
% 59.37/10.01  tff(f75761,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (pp(aa(nat,bool,combc(nat,nat,bool,dvd_dvd(nat),X0),X0))) ) | ~spl2737_2080),
% 59.37/10.01    inference(forward_demodulation,[],[f75759,f50171])).
% 59.37/10.01  tff(f75759,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X0))) ) | ~spl2737_2080),
% 59.37/10.01    inference(avatar_component_clause,[],[f75758])).
% 59.37/10.01  tff(f75766,plain,(
% 59.37/10.01    spl2737_2081 | ~spl2737_226 | ~spl2737_949),
% 59.37/10.01    inference(avatar_split_clause,[],[f69216,f68853,f65349,f75763])).
% 59.37/10.01  tff(f75763,plain,(
% 59.37/10.01    spl2737_2081 <=> sP175(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2081])])).
% 59.37/10.01  tff(f69216,plain,(
% 59.37/10.01    sP175(code_integer) | (~spl2737_226 | ~spl2737_949)),
% 59.37/10.01    inference(resolution,[],[f68854,f65351])).
% 59.37/10.01  tff(f75760,plain,(
% 59.37/10.01    spl2737_2080),
% 59.37/10.01    inference(avatar_split_clause,[],[f35881,f75758])).
% 59.37/10.01  tff(f35881,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10046])).
% 59.37/10.01  tff(f10046,plain,(
% 59.37/10.01    ! [X0 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X0),X0))),
% 59.37/10.01    inference(rectify,[],[f3098])).
% 59.37/10.01  tff(f3098,axiom,(
% 59.37/10.01    ! [X7 : nat] : pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),X7),X7))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3097_gcd__nat_Orefl)).
% 59.37/10.01  tff(f75756,plain,(
% 59.37/10.01    spl2737_2079),
% 59.37/10.01    inference(avatar_split_clause,[],[f35880,f75754])).
% 59.37/10.01  tff(f75754,plain,(
% 59.37/10.01    spl2737_2079 <=> ! [X0 : nat] : aa(list(nat),nat,nat_list_encode,aa(nat,list(nat),nat_list_decode,X0)) = X0),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2079])])).
% 59.37/10.01  tff(f35880,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(list(nat),nat,nat_list_encode,aa(nat,list(nat),nat_list_decode,X0)) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10045])).
% 59.37/10.01  tff(f10045,plain,(
% 59.37/10.01    ! [X0 : nat] : aa(list(nat),nat,nat_list_encode,aa(nat,list(nat),nat_list_decode,X0)) = X0),
% 59.37/10.01    inference(rectify,[],[f7126])).
% 59.37/10.01  tff(f7126,axiom,(
% 59.37/10.01    ! [X8 : nat] : aa(list(nat),nat,nat_list_encode,aa(nat,list(nat),nat_list_decode,X8)) = X8),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7125_list__decode__inverse)).
% 59.37/10.01  tff(f75752,plain,(
% 59.37/10.01    spl2737_2078),
% 59.37/10.01    inference(avatar_split_clause,[],[f35872,f75750])).
% 59.37/10.01  tff(f75750,plain,(
% 59.37/10.01    spl2737_2078 <=> ! [X0 : $tType] : id(X0) = hilbert_inv_into(X0,X0,top_top(set(X0)),id(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2078])])).
% 59.37/10.01  tff(f35872,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (id(X0) = hilbert_inv_into(X0,X0,top_top(set(X0)),id(X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f7411])).
% 59.37/10.01  tff(f7411,axiom,(
% 59.37/10.01    ! [X0 : $tType] : id(X0) = hilbert_inv_into(X0,X0,top_top(set(X0)),id(X0))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7410_inv__id)).
% 59.37/10.01  tff(f75745,plain,(
% 59.37/10.01    spl2737_2077 | ~spl2737_2076),
% 59.37/10.01    inference(avatar_split_clause,[],[f75741,f75738,f75743])).
% 59.37/10.01  tff(f75743,plain,(
% 59.37/10.01    spl2737_2077 <=> ! [X0 : nat] : ~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2077])])).
% 59.37/10.01  tff(f75738,plain,(
% 59.37/10.01    spl2737_2076 <=> ! [X0 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2076])])).
% 59.37/10.01  tff(f75741,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),X0),X0))) ) | ~spl2737_2076),
% 59.37/10.01    inference(forward_demodulation,[],[f75739,f50171])).
% 59.37/10.01  tff(f75739,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X0))) ) | ~spl2737_2076),
% 59.37/10.01    inference(avatar_component_clause,[],[f75738])).
% 59.37/10.01  tff(f75740,plain,(
% 59.37/10.01    spl2737_2076),
% 59.37/10.01    inference(avatar_split_clause,[],[f35868,f75738])).
% 59.37/10.01  tff(f35868,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10034])).
% 59.37/10.01  tff(f10034,plain,(
% 59.37/10.01    ! [X0 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),X0))),
% 59.37/10.01    inference(rectify,[],[f68])).
% 59.37/10.01  tff(f68,axiom,(
% 59.37/10.01    ! [X8 : nat] : ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X8))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_less__irrefl__nat)).
% 59.37/10.01  tff(f75736,plain,(
% 59.37/10.01    spl2737_2075),
% 59.37/10.01    inference(avatar_split_clause,[],[f35867,f75734])).
% 59.37/10.01  tff(f75734,plain,(
% 59.37/10.01    spl2737_2075 <=> ! [X0 : num] : imaginary_unit != aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2075])])).
% 59.37/10.01  tff(f35867,plain,(
% 59.37/10.01    ( ! [X0 : num] : (imaginary_unit != aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10033])).
% 59.37/10.01  tff(f10033,plain,(
% 59.37/10.01    ! [X0 : num] : imaginary_unit != aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X0))),
% 59.37/10.01    inference(rectify,[],[f3316])).
% 59.37/10.01  tff(f3316,axiom,(
% 59.37/10.01    ! [X61 : num] : aa(complex,complex,uminus_uminus(complex),aa(num,complex,numeral_numeral(complex),X61)) != imaginary_unit),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3315_complex__i__not__neg__numeral)).
% 59.37/10.01  tff(f75732,plain,(
% 59.37/10.01    spl2737_2074),
% 59.37/10.01    inference(avatar_split_clause,[],[f35510,f75729])).
% 59.37/10.01  tff(f35510,plain,(
% 59.37/10.01    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = aa(complex,complex,inverse_inverse(complex),imaginary_unit)),
% 59.37/10.01    inference(cnf_transformation,[],[f3302])).
% 59.37/10.01  tff(f3302,axiom,(
% 59.37/10.01    aa(complex,complex,uminus_uminus(complex),imaginary_unit) = aa(complex,complex,inverse_inverse(complex),imaginary_unit)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3301_inverse__i)).
% 59.37/10.01  tff(f75727,plain,(
% 59.37/10.01    spl2737_2073),
% 59.37/10.01    inference(avatar_split_clause,[],[f35509,f75724])).
% 59.37/10.01  tff(f75724,plain,(
% 59.37/10.01    spl2737_2073 <=> suc = aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2073])])).
% 59.37/10.01  tff(f35509,plain,(
% 59.37/10.01    suc = aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat))),
% 59.37/10.01    inference(cnf_transformation,[],[f417])).
% 59.37/10.01  tff(f417,axiom,(
% 59.37/10.01    suc = aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_416_plus__1__eq__Suc)).
% 59.37/10.01  tff(f75686,plain,(
% 59.37/10.01    spl2737_2072 | ~spl2737_229 | ~spl2737_948),
% 59.37/10.01    inference(avatar_split_clause,[],[f69210,f68849,f65364,f75683])).
% 59.37/10.01  tff(f75683,plain,(
% 59.37/10.01    spl2737_2072 <=> sP173(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2072])])).
% 59.37/10.01  tff(f68849,plain,(
% 59.37/10.01    spl2737_948 <=> ! [X0 : $tType] : (sP173(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_948])])).
% 59.37/10.01  tff(f69210,plain,(
% 59.37/10.01    sP173(int) | (~spl2737_229 | ~spl2737_948)),
% 59.37/10.01    inference(resolution,[],[f68850,f65366])).
% 59.37/10.01  tff(f68850,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP173(X0)) ) | ~spl2737_948),
% 59.37/10.01    inference(avatar_component_clause,[],[f68849])).
% 59.37/10.01  tff(f75627,plain,(
% 59.37/10.01    spl2737_2071 | ~spl2737_227 | ~spl2737_948),
% 59.37/10.01    inference(avatar_split_clause,[],[f69209,f68849,f65354,f75624])).
% 59.37/10.01  tff(f75624,plain,(
% 59.37/10.01    spl2737_2071 <=> sP173(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2071])])).
% 59.37/10.01  tff(f69209,plain,(
% 59.37/10.01    sP173(rat) | (~spl2737_227 | ~spl2737_948)),
% 59.37/10.01    inference(resolution,[],[f68850,f65356])).
% 59.37/10.01  tff(f75596,plain,(
% 59.37/10.01    spl2737_2070 | ~spl2737_228 | ~spl2737_948),
% 59.37/10.01    inference(avatar_split_clause,[],[f69208,f68849,f65359,f75593])).
% 59.37/10.01  tff(f75593,plain,(
% 59.37/10.01    spl2737_2070 <=> sP173(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2070])])).
% 59.37/10.01  tff(f69208,plain,(
% 59.37/10.01    sP173(real) | (~spl2737_228 | ~spl2737_948)),
% 59.37/10.01    inference(resolution,[],[f68850,f65361])).
% 59.37/10.01  tff(f75565,plain,(
% 59.37/10.01    spl2737_2069 | ~spl2737_226 | ~spl2737_948),
% 59.37/10.01    inference(avatar_split_clause,[],[f69207,f68849,f65349,f75562])).
% 59.37/10.01  tff(f75562,plain,(
% 59.37/10.01    spl2737_2069 <=> sP173(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2069])])).
% 59.37/10.01  tff(f69207,plain,(
% 59.37/10.01    sP173(code_integer) | (~spl2737_226 | ~spl2737_948)),
% 59.37/10.01    inference(resolution,[],[f68850,f65351])).
% 59.37/10.01  tff(f75548,plain,(
% 59.37/10.01    spl2737_2068 | ~spl2737_229 | ~spl2737_947),
% 59.37/10.01    inference(avatar_split_clause,[],[f69206,f68845,f65364,f75545])).
% 59.37/10.01  tff(f75545,plain,(
% 59.37/10.01    spl2737_2068 <=> sP171(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2068])])).
% 59.37/10.01  tff(f68845,plain,(
% 59.37/10.01    spl2737_947 <=> ! [X0 : $tType] : (sP171(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_947])])).
% 59.37/10.01  tff(f69206,plain,(
% 59.37/10.01    sP171(int) | (~spl2737_229 | ~spl2737_947)),
% 59.37/10.01    inference(resolution,[],[f68846,f65366])).
% 59.37/10.01  tff(f68846,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP171(X0)) ) | ~spl2737_947),
% 59.37/10.01    inference(avatar_component_clause,[],[f68845])).
% 59.37/10.01  tff(f75514,plain,(
% 59.37/10.01    spl2737_2067 | ~spl2737_227 | ~spl2737_947),
% 59.37/10.01    inference(avatar_split_clause,[],[f69205,f68845,f65354,f75511])).
% 59.37/10.01  tff(f75511,plain,(
% 59.37/10.01    spl2737_2067 <=> sP171(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2067])])).
% 59.37/10.01  tff(f69205,plain,(
% 59.37/10.01    sP171(rat) | (~spl2737_227 | ~spl2737_947)),
% 59.37/10.01    inference(resolution,[],[f68846,f65356])).
% 59.37/10.01  tff(f75474,plain,(
% 59.37/10.01    spl2737_2066 | ~spl2737_228 | ~spl2737_947),
% 59.37/10.01    inference(avatar_split_clause,[],[f69204,f68845,f65359,f75471])).
% 59.37/10.01  tff(f75471,plain,(
% 59.37/10.01    spl2737_2066 <=> sP171(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2066])])).
% 59.37/10.01  tff(f69204,plain,(
% 59.37/10.01    sP171(real) | (~spl2737_228 | ~spl2737_947)),
% 59.37/10.01    inference(resolution,[],[f68846,f65361])).
% 59.37/10.01  tff(f75443,plain,(
% 59.37/10.01    spl2737_2065 | ~spl2737_226 | ~spl2737_947),
% 59.37/10.01    inference(avatar_split_clause,[],[f69203,f68845,f65349,f75440])).
% 59.37/10.01  tff(f75440,plain,(
% 59.37/10.01    spl2737_2065 <=> sP171(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2065])])).
% 59.37/10.01  tff(f69203,plain,(
% 59.37/10.01    sP171(code_integer) | (~spl2737_226 | ~spl2737_947)),
% 59.37/10.01    inference(resolution,[],[f68846,f65351])).
% 59.37/10.01  tff(f75383,plain,(
% 59.37/10.01    spl2737_2064 | ~spl2737_229 | ~spl2737_946),
% 59.37/10.01    inference(avatar_split_clause,[],[f69202,f68841,f65364,f75380])).
% 59.37/10.01  tff(f75380,plain,(
% 59.37/10.01    spl2737_2064 <=> sP169(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2064])])).
% 59.37/10.01  tff(f68841,plain,(
% 59.37/10.01    spl2737_946 <=> ! [X0 : $tType] : (sP169(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_946])])).
% 59.37/10.01  tff(f69202,plain,(
% 59.37/10.01    sP169(int) | (~spl2737_229 | ~spl2737_946)),
% 59.37/10.01    inference(resolution,[],[f68842,f65366])).
% 59.37/10.01  tff(f68842,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP169(X0)) ) | ~spl2737_946),
% 59.37/10.01    inference(avatar_component_clause,[],[f68841])).
% 59.37/10.01  tff(f75324,plain,(
% 59.37/10.01    spl2737_2063 | ~spl2737_227 | ~spl2737_946),
% 59.37/10.01    inference(avatar_split_clause,[],[f69201,f68841,f65354,f75321])).
% 59.37/10.01  tff(f75321,plain,(
% 59.37/10.01    spl2737_2063 <=> sP169(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2063])])).
% 59.37/10.01  tff(f69201,plain,(
% 59.37/10.01    sP169(rat) | (~spl2737_227 | ~spl2737_946)),
% 59.37/10.01    inference(resolution,[],[f68842,f65356])).
% 59.37/10.01  tff(f75280,plain,(
% 59.37/10.01    spl2737_2062 | ~spl2737_228 | ~spl2737_946),
% 59.37/10.01    inference(avatar_split_clause,[],[f69200,f68841,f65359,f75277])).
% 59.37/10.01  tff(f75277,plain,(
% 59.37/10.01    spl2737_2062 <=> sP169(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2062])])).
% 59.37/10.01  tff(f69200,plain,(
% 59.37/10.01    sP169(real) | (~spl2737_228 | ~spl2737_946)),
% 59.37/10.01    inference(resolution,[],[f68842,f65361])).
% 59.37/10.01  tff(f75238,plain,(
% 59.37/10.01    spl2737_2061 | ~spl2737_226 | ~spl2737_946),
% 59.37/10.01    inference(avatar_split_clause,[],[f69199,f68841,f65349,f75235])).
% 59.37/10.01  tff(f75235,plain,(
% 59.37/10.01    spl2737_2061 <=> sP169(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2061])])).
% 59.37/10.01  tff(f69199,plain,(
% 59.37/10.01    sP169(code_integer) | (~spl2737_226 | ~spl2737_946)),
% 59.37/10.01    inference(resolution,[],[f68842,f65351])).
% 59.37/10.01  tff(f75210,plain,(
% 59.37/10.01    spl2737_2060 | ~spl2737_229 | ~spl2737_945),
% 59.37/10.01    inference(avatar_split_clause,[],[f69198,f68837,f65364,f75207])).
% 59.37/10.01  tff(f75207,plain,(
% 59.37/10.01    spl2737_2060 <=> sP167(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2060])])).
% 59.37/10.01  tff(f68837,plain,(
% 59.37/10.01    spl2737_945 <=> ! [X0 : $tType] : (sP167(X0) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_945])])).
% 59.37/10.01  tff(f69198,plain,(
% 59.37/10.01    sP167(int) | (~spl2737_229 | ~spl2737_945)),
% 59.37/10.01    inference(resolution,[],[f68838,f65366])).
% 59.37/10.01  tff(f68838,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~linordered_idom(X0) | sP167(X0)) ) | ~spl2737_945),
% 59.37/10.01    inference(avatar_component_clause,[],[f68837])).
% 59.37/10.01  tff(f75191,plain,(
% 59.37/10.01    spl2737_2059 | ~spl2737_227 | ~spl2737_945),
% 59.37/10.01    inference(avatar_split_clause,[],[f69197,f68837,f65354,f75188])).
% 59.37/10.01  tff(f75188,plain,(
% 59.37/10.01    spl2737_2059 <=> sP167(rat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2059])])).
% 59.37/10.01  tff(f69197,plain,(
% 59.37/10.01    sP167(rat) | (~spl2737_227 | ~spl2737_945)),
% 59.37/10.01    inference(resolution,[],[f68838,f65356])).
% 59.37/10.01  tff(f75186,plain,(
% 59.37/10.01    spl2737_2058),
% 59.37/10.01    inference(avatar_split_clause,[],[f62210,f75184])).
% 59.37/10.01  tff(f75184,plain,(
% 59.37/10.01    spl2737_2058 <=> ! [X0 : bool,X1 : bool] : (~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),size_num(one2))) | pp(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2058])])).
% 59.37/10.01  tff(f62210,plain,(
% 59.37/10.01    ( ! [X0 : bool,X1 : bool] : (~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),size_num(one2))) | pp(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f53637,f35397])).
% 59.37/10.01  tff(f53637,plain,(
% 59.37/10.01    ( ! [X0 : bool,X1 : bool] : (pp(X0) | ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),zero_zero(nat)))) )),
% 59.37/10.01    inference(equality_resolution,[],[f48570])).
% 59.37/10.01  tff(f48570,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : bool,X1 : bool] : (pp(X0) | zero_zero(nat) != X2 | ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33380])).
% 59.37/10.01  tff(f75182,plain,(
% 59.37/10.01    spl2737_2057),
% 59.37/10.01    inference(avatar_split_clause,[],[f58811,f75180])).
% 59.37/10.01  tff(f75180,plain,(
% 59.37/10.01    spl2737_2057 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | sP296(X0,sK1632(X0,X1)) | ~sP299(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2057])])).
% 59.37/10.01  tff(f58811,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | sP296(X0,sK1632(X0,X1)) | ~sP299(X0,X1)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f45120,f35397])).
% 59.37/10.01  tff(f45120,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP296(X0,sK1632(X0,X1)) | zero_zero(nat) = X0 | ~sP299(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31343])).
% 59.37/10.01  tff(f31343,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (((sP296(X0,sK1632(X0,X1)) | (~pp(sK1631(X0,X1)) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1631(X0,X1),sK1632(X0,X1))),X0)) & vEBT_Leaf(sK1631(X0,X1),sK1632(X0,X1)) = X1) | ~sP299(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1631,sK1632])],[f31341,f31342])).
% 59.37/10.01  tff(f31342,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP296(X0,X3) | (~pp(X2) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) => ((sP296(X0,sK1632(X0,X1)) | (~pp(sK1631(X0,X1)) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1631(X0,X1),sK1632(X0,X1))),X0)) & vEBT_Leaf(sK1631(X0,X1),sK1632(X0,X1)) = X1))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31341,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP296(X0,X3) | (~pp(X2) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) | ~sP299(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f31340])).
% 59.37/10.01  tff(f31340,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP296(X1,X3) | (~pp(X2) & zero_zero(nat) = X1)) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP299(X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27541])).
% 59.37/10.01  tff(f27541,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP296(X1,X3) | (~pp(X2) & zero_zero(nat) = X1)) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP299(X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP299])])).
% 59.37/10.01  tff(f75178,plain,(
% 59.37/10.01    spl2737_2056 | ~spl2737_228 | ~spl2737_945),
% 59.37/10.01    inference(avatar_split_clause,[],[f69196,f68837,f65359,f75175])).
% 59.37/10.01  tff(f75175,plain,(
% 59.37/10.01    spl2737_2056 <=> sP167(real)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2056])])).
% 59.37/10.01  tff(f69196,plain,(
% 59.37/10.01    sP167(real) | (~spl2737_228 | ~spl2737_945)),
% 59.37/10.01    inference(resolution,[],[f68838,f65361])).
% 59.37/10.01  tff(f75172,plain,(
% 59.37/10.01    spl2737_2055 | ~spl2737_1843 | ~spl2737_2054),
% 59.37/10.01    inference(avatar_split_clause,[],[f75168,f75164,f73619,f75170])).
% 59.37/10.01  tff(f75170,plain,(
% 59.37/10.01    spl2737_2055 <=> ! [X0 : nat] : (size_num(one2) = X0 | sP292(vEBT_vebt_buildup(X0),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2055])])).
% 59.37/10.01  tff(f75164,plain,(
% 59.37/10.01    spl2737_2054 <=> ! [X0 : nat] : (size_num(one2) = X0 | one_one(nat) = X0 | sP292(vEBT_vebt_buildup(X0),X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2054])])).
% 59.37/10.01  tff(f75168,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | sP292(vEBT_vebt_buildup(X0),X0)) ) | (~spl2737_1843 | ~spl2737_2054)),
% 59.37/10.01    inference(duplicate_literal_removal,[],[f75167])).
% 59.37/10.01  tff(f75167,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | size_num(one2) = X0 | sP292(vEBT_vebt_buildup(X0),X0)) ) | (~spl2737_1843 | ~spl2737_2054)),
% 59.37/10.01    inference(forward_demodulation,[],[f75165,f73621])).
% 59.37/10.01  tff(f75165,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (sP292(vEBT_vebt_buildup(X0),X0) | one_one(nat) = X0 | size_num(one2) = X0) ) | ~spl2737_2054),
% 59.37/10.01    inference(avatar_component_clause,[],[f75164])).
% 59.37/10.01  tff(f75166,plain,(
% 59.37/10.01    spl2737_2054),
% 59.37/10.01    inference(avatar_split_clause,[],[f58789,f75164])).
% 59.37/10.01  tff(f58789,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | one_one(nat) = X0 | sP292(vEBT_vebt_buildup(X0),X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f58788,f35397])).
% 59.37/10.01  tff(f58788,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (one_one(nat) = X0 | sP292(vEBT_vebt_buildup(X0),X0) | zero_zero(nat) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f58787,f54053])).
% 59.37/10.01  tff(f58787,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,suc,size_num(one2)) = X0 | sP292(vEBT_vebt_buildup(X0),X0) | zero_zero(nat) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f53199,f35397])).
% 59.37/10.01  tff(f53199,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (sP292(vEBT_vebt_buildup(X0),X0) | aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X0) )),
% 59.37/10.01    inference(equality_resolution,[],[f45064])).
% 59.37/10.01  tff(f45064,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP292(X1,X0) | aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X0 | vEBT_vebt_buildup(X0) != X1) )),
% 59.37/10.01    inference(cnf_transformation,[],[f27531])).
% 59.37/10.01  tff(f27531,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (sP292(X1,X0) | (vEBT_Leaf(fFalse,fFalse) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | (vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0) | vEBT_vebt_buildup(X0) != X1)),
% 59.37/10.01    inference(definition_folding,[],[f24393,f27530])).
% 59.37/10.01  tff(f24393,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat] : ((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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | (vEBT_Leaf(fFalse,fFalse) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | (vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0) | vEBT_vebt_buildup(X0) != X1)),
% 59.37/10.01    inference(flattening,[],[f24392])).
% 59.37/10.01  tff(f24392,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (((? [X2 : nat] : (((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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1 | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X2)))))) & aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0) | (vEBT_Leaf(fFalse,fFalse) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)) | (vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0)) | vEBT_vebt_buildup(X0) != X1)),
% 59.37/10.01    inference(ennf_transformation,[],[f15745])).
% 59.37/10.01  tff(f15745,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(X0) = X1 => ((zero_zero(nat) = X0 => vEBT_Leaf(fFalse,fFalse) != X1) => ((aa(nat,nat,suc,zero_zero(nat)) = X0 => vEBT_Leaf(fFalse,fFalse) != X1) => ~! [X2 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,X2)) = X0 => ~((~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X1) & (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),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),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X2)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X1))))))),
% 59.37/10.01    inference(rectify,[],[f3710])).
% 59.37/10.01  tff(f3710,axiom,(
% 59.37/10.01    ! [X14 : nat,X15 : vEBT_VEBT] : (vEBT_vebt_buildup(X14) = X15 => ((zero_zero(nat) = X14 => vEBT_Leaf(fFalse,fFalse) != X15) => ((aa(nat,nat,suc,zero_zero(nat)) = X14 => vEBT_Leaf(fFalse,fFalse) != X15) => ~! [X45 : nat] : (aa(nat,nat,suc,aa(nat,nat,suc,X45)) = X14 => ~((~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X45)))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X45)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(aa(nat,nat,suc,divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2)))))) = X15) & (pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,aa(nat,nat,suc,X45)))) => vEBT_Node(none(product_prod(nat,nat)),aa(nat,nat,suc,aa(nat,nat,suc,X45)),replicate(vEBT_VEBT,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2)))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_vebt_buildup(divide_divide(nat,aa(nat,nat,suc,aa(nat,nat,suc,X45)),aa(num,nat,numeral_numeral(nat),bit0(one2))))) = X15))))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3709_vebt__buildup_Oelims)).
% 59.37/10.01  tff(f75162,plain,(
% 59.37/10.01    spl2737_2053),
% 59.37/10.01    inference(avatar_split_clause,[],[f58383,f75160])).
% 59.37/10.01  tff(f75160,plain,(
% 59.37/10.01    spl2737_2053 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | sP262(X0,sK1475(X0,X1)) | ~sP263(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2053])])).
% 59.37/10.01  tff(f58383,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | sP262(X0,sK1475(X0,X1)) | ~sP263(X0,X1)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f44843,f35397])).
% 59.37/10.01  tff(f44843,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP262(X0,sK1475(X0,X1)) | zero_zero(nat) = X0 | ~sP263(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31147])).
% 59.37/10.01  tff(f31147,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (((sP262(X0,sK1475(X0,X1)) | (~pp(sK1474(X0,X1)) & zero_zero(nat) = X0)) & vEBT_Leaf(sK1474(X0,X1),sK1475(X0,X1)) = X1) | ~sP263(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1474,sK1475])],[f31145,f31146])).
% 59.37/10.01  tff(f31146,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP262(X0,X3) | (~pp(X2) & zero_zero(nat) = X0)) & vEBT_Leaf(X2,X3) = X1) => ((sP262(X0,sK1475(X0,X1)) | (~pp(sK1474(X0,X1)) & zero_zero(nat) = X0)) & vEBT_Leaf(sK1474(X0,X1),sK1475(X0,X1)) = X1))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31145,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP262(X0,X3) | (~pp(X2) & zero_zero(nat) = X0)) & vEBT_Leaf(X2,X3) = X1) | ~sP263(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f31144])).
% 59.37/10.01  tff(f31144,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP262(X1,X3) | (~pp(X2) & zero_zero(nat) = X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP263(X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27488])).
% 59.37/10.01  tff(f27488,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP262(X1,X3) | (~pp(X2) & zero_zero(nat) = X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP263(X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP263])])).
% 59.37/10.01  tff(f75158,plain,(
% 59.37/10.01    spl2737_2052),
% 59.37/10.01    inference(avatar_split_clause,[],[f58379,f75156])).
% 59.37/10.01  tff(f75156,plain,(
% 59.37/10.01    spl2737_2052 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | sP259(X0,sK1470(X0,X1)) | ~sP260(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2052])])).
% 59.37/10.01  tff(f58379,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | sP259(X0,sK1470(X0,X1)) | ~sP260(X0,X1)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f44835,f35397])).
% 59.37/10.01  tff(f44835,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP259(X0,sK1470(X0,X1)) | zero_zero(nat) = X0 | ~sP260(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31138])).
% 59.37/10.01  tff(f31138,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (((sP259(X0,sK1470(X0,X1)) | (~pp(sK1469(X0,X1)) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1469(X0,X1),sK1470(X0,X1))),X0)) & vEBT_Leaf(sK1469(X0,X1),sK1470(X0,X1)) = X1) | ~sP260(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1469,sK1470])],[f31136,f31137])).
% 59.37/10.01  tff(f31137,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP259(X0,X3) | (~pp(X2) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) => ((sP259(X0,sK1470(X0,X1)) | (~pp(sK1469(X0,X1)) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1469(X0,X1),sK1470(X0,X1))),X0)) & vEBT_Leaf(sK1469(X0,X1),sK1470(X0,X1)) = X1))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31136,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP259(X0,X3) | (~pp(X2) & zero_zero(nat) = X0)) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) | ~sP260(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f31135])).
% 59.37/10.01  tff(f31135,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP259(X1,X3) | (~pp(X2) & zero_zero(nat) = X1)) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP260(X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27484])).
% 59.37/10.01  tff(f27484,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : ((sP259(X1,X3) | (~pp(X2) & zero_zero(nat) = X1)) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP260(X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP260])])).
% 59.37/10.01  tff(f75154,plain,(
% 59.37/10.01    spl2737_2051),
% 59.37/10.01    inference(avatar_split_clause,[],[f57249,f75152])).
% 59.37/10.01  tff(f75152,plain,(
% 59.37/10.01    spl2737_2051 <=> ! [X0 : nat] : (size_num(one2) = X0 | bot_bot(set(nat)) != set_ord_lessThan(nat,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2051])])).
% 59.37/10.01  tff(f57249,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | bot_bot(set(nat)) != set_ord_lessThan(nat,X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f43352,f35397])).
% 59.37/10.01  tff(f43352,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (zero_zero(nat) = X0 | bot_bot(set(nat)) != set_ord_lessThan(nat,X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30618])).
% 59.37/10.01  tff(f30618,plain,(
% 59.37/10.01    ! [X0 : nat] : ((bot_bot(set(nat)) = set_ord_lessThan(nat,X0) | zero_zero(nat) != X0) & (zero_zero(nat) = X0 | bot_bot(set(nat)) != set_ord_lessThan(nat,X0)))),
% 59.37/10.01    inference(nnf_transformation,[],[f14625])).
% 59.37/10.01  tff(f14625,plain,(
% 59.37/10.01    ! [X0 : nat] : (bot_bot(set(nat)) = set_ord_lessThan(nat,X0) <=> zero_zero(nat) = X0)),
% 59.37/10.01    inference(rectify,[],[f3829])).
% 59.37/10.01  tff(f3829,axiom,(
% 59.37/10.01    ! [X8 : nat] : (bot_bot(set(nat)) = set_ord_lessThan(nat,X8) <=> zero_zero(nat) = X8)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3828_lessThan__empty__iff)).
% 59.37/10.01  tff(f75150,plain,(
% 59.37/10.01    spl2737_2050),
% 59.37/10.01    inference(avatar_split_clause,[],[f57245,f75148])).
% 59.37/10.01  tff(f75148,plain,(
% 59.37/10.01    spl2737_2050 <=> ! [X0 : real] : (im(imaginary_unit) != aa(real,real,sqrt,X0) | im(imaginary_unit) = X0)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2050])])).
% 59.37/10.01  tff(f57245,plain,(
% 59.37/10.01    ( ! [X0 : real] : (im(imaginary_unit) != aa(real,real,sqrt,X0) | im(imaginary_unit) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f57244,f35393])).
% 59.37/10.01  tff(f57244,plain,(
% 59.37/10.01    ( ! [X0 : real] : (im(imaginary_unit) = X0 | one_one(real) != aa(real,real,sqrt,X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f43348,f35393])).
% 59.37/10.01  tff(f43348,plain,(
% 59.37/10.01    ( ! [X0 : real] : (one_one(real) = X0 | one_one(real) != aa(real,real,sqrt,X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30616])).
% 59.37/10.01  tff(f30616,plain,(
% 59.37/10.01    ! [X0 : real] : ((one_one(real) = aa(real,real,sqrt,X0) | one_one(real) != X0) & (one_one(real) = X0 | one_one(real) != aa(real,real,sqrt,X0)))),
% 59.37/10.01    inference(nnf_transformation,[],[f14623])).
% 59.37/10.01  tff(f14623,plain,(
% 59.37/10.01    ! [X0 : real] : (one_one(real) = aa(real,real,sqrt,X0) <=> one_one(real) = X0)),
% 59.37/10.01    inference(rectify,[],[f3183])).
% 59.37/10.01  tff(f3183,axiom,(
% 59.37/10.01    ! [X14 : real] : (one_one(real) = aa(real,real,sqrt,X14) <=> one_one(real) = X14)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3182_real__sqrt__eq__1__iff)).
% 59.37/10.01  tff(f75146,plain,(
% 59.37/10.01    spl2737_2049),
% 59.37/10.01    inference(avatar_split_clause,[],[f57185,f75144])).
% 59.37/10.01  tff(f75144,plain,(
% 59.37/10.01    spl2737_2049 <=> ! [X0 : nat] : (size_num(one2) = X0 | ~pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2049])])).
% 59.37/10.01  tff(f57185,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | ~pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f43300,f35397])).
% 59.37/10.01  tff(f43300,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (zero_zero(nat) = X0 | ~pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30569])).
% 59.37/10.01  tff(f30569,plain,(
% 59.37/10.01    ! [X0 : nat] : ((zero_zero(nat) = X0 | ~pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X0))) & (pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X0)) | zero_zero(nat) != X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f14604])).
% 59.37/10.01  tff(f14604,plain,(
% 59.37/10.01    ! [X0 : nat] : (zero_zero(nat) = X0 <=> pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X0)))),
% 59.37/10.01    inference(rectify,[],[f4363])).
% 59.37/10.01  tff(f4363,axiom,(
% 59.37/10.01    ! [X12 : nat] : (zero_zero(nat) = X12 <=> pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X12)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4362_nat_Odisc__eq__case_I1_J)).
% 59.37/10.01  tff(f75142,plain,(
% 59.37/10.01    spl2737_2048),
% 59.37/10.01    inference(avatar_split_clause,[],[f57179,f75140])).
% 59.37/10.01  tff(f75140,plain,(
% 59.37/10.01    spl2737_2048 <=> ! [X0 : nat] : (size_num(one2) = X0 | pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2048])])).
% 59.37/10.01  tff(f57179,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f43290,f35397])).
% 59.37/10.01  tff(f43290,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X0)) | zero_zero(nat) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30564])).
% 59.37/10.01  tff(f30564,plain,(
% 59.37/10.01    ! [X0 : nat] : ((zero_zero(nat) != X0 | ~pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X0))) & (pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X0)) | zero_zero(nat) = X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f14600])).
% 59.37/10.01  tff(f14600,plain,(
% 59.37/10.01    ! [X0 : nat] : (zero_zero(nat) != X0 <=> pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X0)))),
% 59.37/10.01    inference(rectify,[],[f4364])).
% 59.37/10.01  tff(f4364,axiom,(
% 59.37/10.01    ! [X12 : nat] : (zero_zero(nat) != X12 <=> pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X12)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4363_nat_Odisc__eq__case_I2_J)).
% 59.37/10.01  tff(f75138,plain,(
% 59.37/10.01    spl2737_2047),
% 59.37/10.01    inference(avatar_split_clause,[],[f56393,f75136])).
% 59.37/10.01  tff(f75136,plain,(
% 59.37/10.01    spl2737_2047 <=> ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1037(X0)) = X0)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2047])])).
% 59.37/10.01  tff(f56393,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1037(X0)) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f42492,f35397])).
% 59.37/10.01  tff(f42492,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,suc,sK1037(X0)) = X0 | zero_zero(nat) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30216])).
% 59.37/10.01  tff(f30216,plain,(
% 59.37/10.01    ! [X0 : nat] : (aa(nat,nat,suc,sK1037(X0)) = X0 | zero_zero(nat) = X0)),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1037])],[f22679,f30215])).
% 59.37/10.01  tff(f30215,plain,(
% 59.37/10.01    ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 => aa(nat,nat,suc,sK1037(X0)) = X0)),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f22679,plain,(
% 59.37/10.01    ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 | zero_zero(nat) = X0)),
% 59.37/10.01    inference(ennf_transformation,[],[f14019])).
% 59.37/10.01  tff(f14019,plain,(
% 59.37/10.01    ! [X0 : nat] : (zero_zero(nat) != X0 => ? [X1 : nat] : aa(nat,nat,suc,X1) = X0)),
% 59.37/10.01    inference(rectify,[],[f21])).
% 59.37/10.01  tff(f21,axiom,(
% 59.37/10.01    ! [X8 : nat] : (zero_zero(nat) != X8 => ? [X16 : nat] : aa(nat,nat,suc,X16) = X8)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_not0__implies__Suc)).
% 59.37/10.01  tff(f75134,plain,(
% 59.37/10.01    spl2737_2046 | ~spl2737_226 | ~spl2737_945),
% 59.37/10.01    inference(avatar_split_clause,[],[f69195,f68837,f65349,f75131])).
% 59.37/10.01  tff(f75131,plain,(
% 59.37/10.01    spl2737_2046 <=> sP167(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2046])])).
% 59.37/10.01  tff(f69195,plain,(
% 59.37/10.01    sP167(code_integer) | (~spl2737_226 | ~spl2737_945)),
% 59.37/10.01    inference(resolution,[],[f68838,f65351])).
% 59.37/10.01  tff(f75129,plain,(
% 59.37/10.01    spl2737_2045),
% 59.37/10.01    inference(avatar_split_clause,[],[f56392,f75127])).
% 59.37/10.01  tff(f75127,plain,(
% 59.37/10.01    spl2737_2045 <=> ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1036(X0)) = X0)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2045])])).
% 59.37/10.01  tff(f56392,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1036(X0)) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f42491,f35397])).
% 59.37/10.01  tff(f42491,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,suc,sK1036(X0)) = X0 | zero_zero(nat) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30214])).
% 59.37/10.01  tff(f30214,plain,(
% 59.37/10.01    ! [X0 : nat] : (aa(nat,nat,suc,sK1036(X0)) = X0 | zero_zero(nat) = X0)),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1036])],[f22678,f30213])).
% 59.37/10.01  tff(f30213,plain,(
% 59.37/10.01    ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 => aa(nat,nat,suc,sK1036(X0)) = X0)),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f22678,plain,(
% 59.37/10.01    ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 | zero_zero(nat) = X0)),
% 59.37/10.01    inference(ennf_transformation,[],[f14018])).
% 59.37/10.01  tff(f14018,plain,(
% 59.37/10.01    ! [X0 : nat] : (zero_zero(nat) != X0 => ~! [X1 : nat] : aa(nat,nat,suc,X1) != X0)),
% 59.37/10.01    inference(rectify,[],[f83])).
% 59.37/10.01  tff(f83,axiom,(
% 59.37/10.01    ! [X14 : nat] : (zero_zero(nat) != X14 => ~! [X19 : nat] : aa(nat,nat,suc,X19) != X14)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_list__decode_Ocases)).
% 59.37/10.01  tff(f75125,plain,(
% 59.37/10.01    spl2737_2044),
% 59.37/10.01    inference(avatar_split_clause,[],[f56391,f75123])).
% 59.37/10.01  tff(f75123,plain,(
% 59.37/10.01    spl2737_2044 <=> ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1035(X0)) = X0)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2044])])).
% 59.37/10.01  tff(f56391,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (size_num(one2) = X0 | aa(nat,nat,suc,sK1035(X0)) = X0) )),
% 59.37/10.01    inference(forward_demodulation,[],[f42490,f35397])).
% 59.37/10.01  tff(f42490,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,suc,sK1035(X0)) = X0 | zero_zero(nat) = X0) )),
% 59.37/10.01    inference(cnf_transformation,[],[f30212])).
% 59.37/10.01  tff(f30212,plain,(
% 59.37/10.01    ! [X0 : nat] : (aa(nat,nat,suc,sK1035(X0)) = X0 | zero_zero(nat) = X0)),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1035])],[f22677,f30211])).
% 59.37/10.01  tff(f30211,plain,(
% 59.37/10.01    ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 => aa(nat,nat,suc,sK1035(X0)) = X0)),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f22677,plain,(
% 59.37/10.01    ! [X0 : nat] : (? [X1 : nat] : aa(nat,nat,suc,X1) = X0 | zero_zero(nat) = X0)),
% 59.37/10.01    inference(ennf_transformation,[],[f14017])).
% 59.37/10.01  tff(f14017,plain,(
% 59.37/10.01    ! [X0 : nat] : (zero_zero(nat) != X0 => ~! [X1 : nat] : aa(nat,nat,suc,X1) != X0)),
% 59.37/10.01    inference(rectify,[],[f28])).
% 59.37/10.01  tff(f28,axiom,(
% 59.37/10.01    ! [X15 : nat] : (zero_zero(nat) != X15 => ~! [X22 : nat] : aa(nat,nat,suc,X22) != X15)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_old_Onat_Oexhaust)).
% 59.37/10.01  tff(f75121,plain,(
% 59.37/10.01    spl2737_2043),
% 59.37/10.01    inference(avatar_split_clause,[],[f56209,f75119])).
% 59.37/10.01  tff(f75119,plain,(
% 59.37/10.01    spl2737_2043 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),size_num(one2)) | ~semiring_1(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2043])])).
% 59.37/10.01  tff(f56209,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),size_num(one2)) | ~semiring_1(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f41491,f35397])).
% 59.37/10.01  tff(f41491,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)) | ~semiring_1(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f21943])).
% 59.37/10.01  tff(f21943,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)) | ~semiring_1(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f135])).
% 59.37/10.01  tff(f135,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (semiring_1(X0) => zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_of__nat__0)).
% 59.37/10.01  tff(f75117,plain,(
% 59.37/10.01    spl2737_2042),
% 59.37/10.01    inference(avatar_split_clause,[],[f56201,f75115])).
% 59.37/10.01  tff(f75115,plain,(
% 59.37/10.01    spl2737_2042 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),size_num(one2)) | ~semiring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2042])])).
% 59.37/10.01  tff(f56201,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),size_num(one2)) | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f52992,f35397])).
% 59.37/10.01  tff(f52992,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),zero_zero(nat)) | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f41468])).
% 59.37/10.01  tff(f41468,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | zero_zero(nat) != X1 | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29727])).
% 59.37/10.01  tff(f75113,plain,(
% 59.37/10.01    spl2737_2041),
% 59.37/10.01    inference(avatar_split_clause,[],[f55653,f75111])).
% 59.37/10.01  tff(f75111,plain,(
% 59.37/10.01    spl2737_2041 <=> ! [X0 : $tType,X2 : X0] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,size_num(one2)),X2) = X2 | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2041])])).
% 59.37/10.01  tff(f55653,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,size_num(one2)),X2) = X2 | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f52814,f35397])).
% 59.37/10.01  tff(f52814,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,zero_zero(nat)),X2) = X2 | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f39910])).
% 59.37/10.01  tff(f39910,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = X2 | zero_zero(nat) != X1 | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20741])).
% 59.37/10.01  tff(f20741,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat,X2 : X0] : ((aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = aa(X0,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),bit0(one2)))) | zero_zero(nat) = X1) & (aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = X2 | zero_zero(nat) != X1)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12453])).
% 59.37/10.01  tff(f12453,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat,X2 : X0] : ((zero_zero(nat) != X1 => aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = aa(X0,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),bit0(one2))))) & (zero_zero(nat) = X1 => aa(X0,X0,bit_se4197421643247451524op_bit(X0,X1),X2) = X2)))),
% 59.37/10.01    inference(rectify,[],[f4544])).
% 59.37/10.01  tff(f4544,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat,X7 : X0] : ((zero_zero(nat) != X8 => aa(X0,X0,bit_se4197421643247451524op_bit(X0,X8),X7) = aa(X0,X0,bit_se4197421643247451524op_bit(X0,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))),divide_divide(X0,X7,aa(num,X0,numeral_numeral(X0),bit0(one2))))) & (zero_zero(nat) = X8 => aa(X0,X0,bit_se4197421643247451524op_bit(X0,X8),X7) = X7)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4543_drop__bit__rec)).
% 59.37/10.01  tff(f75109,plain,(
% 59.37/10.01    spl2737_2040),
% 59.37/10.01    inference(avatar_split_clause,[],[f55629,f75107])).
% 59.37/10.01  tff(f75107,plain,(
% 59.37/10.01    spl2737_2040 <=> ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2040])])).
% 59.37/10.01  tff(f55629,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (size_num(one2) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f39882,f35397])).
% 59.37/10.01  tff(f39882,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29233])).
% 59.37/10.01  tff(f29233,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : ((zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X1) | zero_zero(nat) != X1) & (zero_zero(nat) = X1 | zero_zero(X0) != bit_se2239418461657761734s_mask(X0,X1))) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f20716])).
% 59.37/10.01  tff(f20716,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : nat] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X1) <=> zero_zero(nat) = X1) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12428])).
% 59.37/10.01  tff(f12428,plain,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X1) <=> zero_zero(nat) = X1))),
% 59.37/10.01    inference(rectify,[],[f3250])).
% 59.37/10.01  tff(f3250,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,X8) <=> zero_zero(nat) = X8))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3249_mask__eq__0__iff)).
% 59.37/10.01  tff(f75105,plain,(
% 59.37/10.01    spl2737_2039),
% 59.37/10.01    inference(avatar_split_clause,[],[f55466,f75103])).
% 59.37/10.01  tff(f75103,plain,(
% 59.37/10.01    spl2737_2039 <=> ! [X0 : $tType] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),size_num(one2))) | ~bit_semiring_bits(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2039])])).
% 59.37/10.01  tff(f55466,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),size_num(one2))) | ~bit_semiring_bits(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f52783,f35397])).
% 59.37/10.01  tff(f52783,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),zero_zero(nat))) | ~bit_semiring_bits(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f39484])).
% 59.37/10.01  tff(f39484,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,one_one(X0)),X1)) | zero_zero(nat) != X1 | ~bit_semiring_bits(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29071])).
% 59.37/10.01  tff(f75101,plain,(
% 59.37/10.01    spl2737_2038),
% 59.37/10.01    inference(avatar_split_clause,[],[f55337,f75099])).
% 59.37/10.01  tff(f75099,plain,(
% 59.37/10.01    spl2737_2038 <=> ! [X0 : $tType] : (size_num(one2) = aa(X0,nat,euclid6346220572633701492n_size(X0),zero_zero(X0)) | ~euclid3725896446679973847miring(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2038])])).
% 59.37/10.01  tff(f55337,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (size_num(one2) = aa(X0,nat,euclid6346220572633701492n_size(X0),zero_zero(X0)) | ~euclid3725896446679973847miring(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f39156,f35397])).
% 59.37/10.01  tff(f39156,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),zero_zero(X0)) | ~euclid3725896446679973847miring(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20242])).
% 59.37/10.01  tff(f20242,plain,(
% 59.37/10.01    ! [X0 : $tType] : (zero_zero(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),zero_zero(X0)) | ~euclid3725896446679973847miring(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f7013])).
% 59.37/10.01  tff(f7013,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (euclid3725896446679973847miring(X0) => zero_zero(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),zero_zero(X0)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7012_size__0)).
% 59.37/10.01  tff(f75097,plain,(
% 59.37/10.01    spl2737_2037),
% 59.37/10.01    inference(avatar_split_clause,[],[f54991,f75095])).
% 59.37/10.01  tff(f75095,plain,(
% 59.37/10.01    spl2737_2037 <=> ! [X0 : $tType,X1 : real] : (im(imaginary_unit) = X1 | one_one(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2037])])).
% 59.37/10.01  tff(f54991,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : real] : (im(imaginary_unit) = X1 | one_one(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/10.01    inference(forward_demodulation,[],[f36703,f35393])).
% 59.37/10.01  tff(f36703,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : real] : (one_one(real) = X1 | one_one(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28107])).
% 59.37/10.01  tff(f28107,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : real] : ((one_one(X0) = real_Vector_of_real(X0,X1) | one_one(real) != X1) & (one_one(real) = X1 | one_one(X0) != real_Vector_of_real(X0,X1))) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f18634])).
% 59.37/10.01  tff(f18634,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : real] : (one_one(X0) = real_Vector_of_real(X0,X1) <=> one_one(real) = X1) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f10701])).
% 59.37/10.01  tff(f10701,plain,(
% 59.37/10.01    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : real] : (one_one(X0) = real_Vector_of_real(X0,X1) <=> one_one(real) = X1))),
% 59.37/10.01    inference(rectify,[],[f2299])).
% 59.37/10.01  tff(f2299,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X14 : real] : (one_one(X0) = real_Vector_of_real(X0,X14) <=> one_one(real) = X14))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2298_of__real__eq__1__iff)).
% 59.37/10.01  tff(f75093,plain,(
% 59.37/10.01    spl2737_2036),
% 59.37/10.01    inference(avatar_split_clause,[],[f54775,f75091])).
% 59.37/10.01  tff(f75091,plain,(
% 59.37/10.01    spl2737_2036 <=> ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,set_ord_lessThan(nat,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2036])])).
% 59.37/10.01  tff(f54775,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (bit_se2239418461657761734s_mask(nat,X0) = aa(set(nat),nat,nat_set_encode,set_ord_lessThan(nat,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54774,f36053])).
% 59.37/10.01  tff(f54774,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,suc,bit_se2239418461657761734s_mask(nat,X0))),one_one(nat)) = aa(set(nat),nat,nat_set_encode,set_ord_lessThan(nat,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54773,f54446])).
% 59.37/10.01  tff(f54773,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)),one_one(nat)) = aa(set(nat),nat,nat_set_encode,set_ord_lessThan(nat,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54772,f54194])).
% 59.37/10.01  tff(f54772,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat))),X0)),one_one(nat)) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(nat,nat,suc,one_one(nat)))),set_ord_lessThan(nat,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54771,f54081])).
% 59.37/10.01  tff(f54771,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)),one_one(nat)) = aa(set(nat),nat,aa(fun(nat,nat),fun(set(nat),nat),groups7311177749621191930dd_sum(nat,nat),aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,nat_of_num,aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2)))),set_ord_lessThan(nat,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54770,f35414])).
% 59.37/10.01  tff(f54770,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),X0)),one_one(nat)) = aa(set(nat),nat,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,aa(num,fun(num,num),plus_plus(num),one2),one2)))),set_ord_lessThan(nat,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54769,f50511])).
% 59.37/10.01  tff(f54769,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)),one_one(nat)) = aa(set(nat),nat,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,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))),set_ord_lessThan(nat,X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54768,f54244])).
% 59.37/10.01  tff(f54768,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)),one_one(nat)) = aa(set(nat),nat,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,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))),set_or7035219750837199246ssThan(nat,size_num(one2),X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f50715,f35397])).
% 59.37/10.01  tff(f50715,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),X0)),one_one(nat)) = aa(set(nat),nat,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,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2)))),set_or7035219750837199246ssThan(nat,zero_zero(nat),X0))) )),
% 59.37/10.01    inference(definition_unfolding,[],[f36305,f50501,f50501])).
% 59.37/10.01  tff(f36305,plain,(
% 59.37/10.01    ( ! [X0 : nat] : (aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)),one_one(nat)) = aa(set(nat),nat,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),bit0(one2)))),set_or7035219750837199246ssThan(nat,zero_zero(nat),X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f10466])).
% 59.37/10.01  tff(f10466,plain,(
% 59.37/10.01    ! [X0 : nat] : aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)),one_one(nat)) = aa(set(nat),nat,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),bit0(one2)))),set_or7035219750837199246ssThan(nat,zero_zero(nat),X0))),
% 59.37/10.01    inference(rectify,[],[f4298])).
% 59.37/10.01  tff(f4298,axiom,(
% 59.37/10.01    ! [X18 : nat] : aa(set(nat),nat,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),bit0(one2)))),set_or7035219750837199246ssThan(nat,zero_zero(nat),X18)) = aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X18)),one_one(nat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4297_sum__power2)).
% 59.37/10.01  tff(f75089,plain,(
% 59.37/10.01    spl2737_2035 | ~spl2737_204 | ~spl2737_944),
% 59.37/10.01    inference(avatar_split_clause,[],[f69194,f68833,f65239,f75086])).
% 59.37/10.01  tff(f75086,plain,(
% 59.37/10.01    spl2737_2035 <=> sP156(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2035])])).
% 59.37/10.01  tff(f65239,plain,(
% 59.37/10.01    spl2737_204 <=> bit_semiring_bits(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_204])])).
% 59.37/10.01  tff(f68833,plain,(
% 59.37/10.01    spl2737_944 <=> ! [X0 : $tType] : (sP156(X0) | ~bit_semiring_bits(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_944])])).
% 59.37/10.01  tff(f69194,plain,(
% 59.37/10.01    sP156(int) | (~spl2737_204 | ~spl2737_944)),
% 59.37/10.01    inference(resolution,[],[f68834,f65241])).
% 59.37/10.01  tff(f65241,plain,(
% 59.37/10.01    bit_semiring_bits(int) | ~spl2737_204),
% 59.37/10.01    inference(avatar_component_clause,[],[f65239])).
% 59.37/10.01  tff(f68834,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~bit_semiring_bits(X0) | sP156(X0)) ) | ~spl2737_944),
% 59.37/10.01    inference(avatar_component_clause,[],[f68833])).
% 59.37/10.01  tff(f75083,plain,(
% 59.37/10.01    spl2737_2034),
% 59.37/10.01    inference(avatar_split_clause,[],[f54305,f75081])).
% 59.37/10.01  tff(f75081,plain,(
% 59.37/10.01    spl2737_2034 <=> ! [X0 : $tType] : one_one(nat) = aa(option(X0),nat,size_size(option(X0)),none(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2034])])).
% 59.37/10.01  tff(f54305,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (one_one(nat) = aa(option(X0),nat,size_size(option(X0)),none(X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f54304,f54053])).
% 59.37/10.01  tff(f54304,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (aa(option(X0),nat,size_size(option(X0)),none(X0)) = aa(nat,nat,suc,size_num(one2))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f35978,f35397])).
% 59.37/10.01  tff(f35978,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),none(X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f2616])).
% 59.37/10.01  tff(f2616,axiom,(
% 59.37/10.01    ! [X0 : $tType] : aa(nat,nat,suc,zero_zero(nat)) = aa(option(X0),nat,size_size(option(X0)),none(X0))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2615_option_Osize_I3_J)).
% 59.37/10.01  tff(f75079,plain,(
% 59.37/10.01    spl2737_2033),
% 59.37/10.01    inference(avatar_split_clause,[],[f54258,f75077])).
% 59.37/10.01  tff(f75077,plain,(
% 59.37/10.01    spl2737_2033 <=> ! [X0 : $tType] : id(list(X0)) = rotate(X0,size_num(one2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2033])])).
% 59.37/10.01  tff(f54258,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (id(list(X0)) = rotate(X0,size_num(one2))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f35860,f35397])).
% 59.37/10.01  tff(f35860,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (rotate(X0,zero_zero(nat)) = id(list(X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f5157])).
% 59.37/10.01  tff(f5157,axiom,(
% 59.37/10.01    ! [X0 : $tType] : rotate(X0,zero_zero(nat)) = id(list(X0))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5156_rotate0)).
% 59.37/10.01  tff(f75075,plain,(
% 59.37/10.01    spl2737_2032),
% 59.37/10.01    inference(avatar_split_clause,[],[f54256,f75073])).
% 59.37/10.01  tff(f75073,plain,(
% 59.37/10.01    spl2737_2032 <=> ! [X0 : $tType] : size_num(one2) = aa(list(X0),nat,size_size(list(X0)),nil(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2032])])).
% 59.37/10.01  tff(f54256,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (size_num(one2) = aa(list(X0),nat,size_size(list(X0)),nil(X0))) )),
% 59.37/10.01    inference(forward_demodulation,[],[f35852,f35397])).
% 59.37/10.01  tff(f35852,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),nil(X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f4985])).
% 59.37/10.01  tff(f4985,axiom,(
% 59.37/10.01    ! [X0 : $tType] : zero_zero(nat) = aa(list(X0),nat,size_size(list(X0)),nil(X0))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4984_list_Osize_I3_J)).
% 59.37/10.01  tff(f75071,plain,(
% 59.37/10.01    spl2737_2031),
% 59.37/10.01    inference(avatar_split_clause,[],[f54102,f75068])).
% 59.37/10.01  tff(f75068,plain,(
% 59.37/10.01    spl2737_2031 <=> suminf(real,aTP_Lamp_bf(nat,real)) = aa(real,real,arctan,im(imaginary_unit))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2031])])).
% 59.37/10.01  tff(f54102,plain,(
% 59.37/10.01    suminf(real,aTP_Lamp_bf(nat,real)) = aa(real,real,arctan,im(imaginary_unit))),
% 59.37/10.01    inference(forward_demodulation,[],[f54101,f35393])).
% 59.37/10.01  tff(f54101,plain,(
% 59.37/10.01    aa(real,real,arctan,one_one(real)) = suminf(real,aTP_Lamp_bf(nat,real))),
% 59.37/10.01    inference(forward_demodulation,[],[f54100,f54097])).
% 59.37/10.01  tff(f54100,plain,(
% 59.37/10.01    aa(real,real,arctan,one_one(real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(aa(num,num,aa(num,fun(num,num),plus_plus(num),one2),one2))),one2)))),
% 59.37/10.01    inference(forward_demodulation,[],[f50529,f50511])).
% 59.37/10.01  tff(f50529,plain,(
% 59.37/10.01    aa(real,real,arctan,one_one(real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(aa(num,num,aa(num,fun(num,num),plus_plus(num),bitM(one2)),one2))),one2)))),
% 59.37/10.01    inference(definition_unfolding,[],[f35558,f50501,f50501])).
% 59.37/10.01  tff(f35558,plain,(
% 59.37/10.01    aa(real,real,arctan,one_one(real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(bit0(one2))))),
% 59.37/10.01    inference(cnf_transformation,[],[f2670])).
% 59.37/10.01  tff(f2670,axiom,(
% 59.37/10.01    aa(real,real,arctan,one_one(real)) = divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(bit0(one2))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2669_arctan__one)).
% 59.37/10.01  tff(f75066,plain,(
% 59.37/10.01    spl2737_2030),
% 59.37/10.01    inference(avatar_split_clause,[],[f54071,f75063])).
% 59.37/10.01  tff(f75063,plain,(
% 59.37/10.01    spl2737_2030 <=> filterlim(nat,real,aTP_Lamp_vj(nat,real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(nat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2030])])).
% 59.37/10.01  tff(f54071,plain,(
% 59.37/10.01    filterlim(nat,real,aTP_Lamp_vj(nat,real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(nat))),
% 59.37/10.01    inference(forward_demodulation,[],[f35505,f35393])).
% 59.37/10.01  tff(f35505,plain,(
% 59.37/10.01    filterlim(nat,real,aTP_Lamp_vj(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat))),
% 59.37/10.01    inference(cnf_transformation,[],[f5935])).
% 59.37/10.01  tff(f5935,axiom,(
% 59.37/10.01    filterlim(nat,real,aTP_Lamp_vj(nat,real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(nat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5934_LIMSEQ__root)).
% 59.37/10.01  tff(f75061,plain,(
% 59.37/10.01    spl2737_2029),
% 59.37/10.01    inference(avatar_split_clause,[],[f54068,f75058])).
% 59.37/10.01  tff(f75058,plain,(
% 59.37/10.01    spl2737_2029 <=> size_num(one2) = aa(set(nat),nat,complete_Sup_Sup(nat),bot_bot(set(nat)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2029])])).
% 59.37/10.01  tff(f54068,plain,(
% 59.37/10.01    size_num(one2) = aa(set(nat),nat,complete_Sup_Sup(nat),bot_bot(set(nat)))),
% 59.37/10.01    inference(forward_demodulation,[],[f35498,f35397])).
% 59.37/10.01  tff(f35498,plain,(
% 59.37/10.01    zero_zero(nat) = aa(set(nat),nat,complete_Sup_Sup(nat),bot_bot(set(nat)))),
% 59.37/10.01    inference(cnf_transformation,[],[f5687])).
% 59.37/10.01  tff(f5687,axiom,(
% 59.37/10.01    zero_zero(nat) = aa(set(nat),nat,complete_Sup_Sup(nat),bot_bot(set(nat)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5686_Sup__nat__empty)).
% 59.37/10.01  tff(f75056,plain,(
% 59.37/10.01    spl2737_2028),
% 59.37/10.01    inference(avatar_split_clause,[],[f54066,f75053])).
% 59.37/10.01  tff(f75053,plain,(
% 59.37/10.01    spl2737_2028 <=> im(imaginary_unit) = aa(fun(nat,rat),real,real2,aTP_Lamp_aak(nat,rat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2028])])).
% 59.37/10.01  tff(f54066,plain,(
% 59.37/10.01    im(imaginary_unit) = aa(fun(nat,rat),real,real2,aTP_Lamp_aak(nat,rat))),
% 59.37/10.01    inference(forward_demodulation,[],[f35495,f35393])).
% 59.37/10.01  tff(f35495,plain,(
% 59.37/10.01    one_one(real) = aa(fun(nat,rat),real,real2,aTP_Lamp_aak(nat,rat))),
% 59.37/10.01    inference(cnf_transformation,[],[f6411])).
% 59.37/10.01  tff(f6411,axiom,(
% 59.37/10.01    one_one(real) = aa(fun(nat,rat),real,real2,aTP_Lamp_aak(nat,rat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6410_one__real__def)).
% 59.37/10.01  tff(f75051,plain,(
% 59.37/10.01    spl2737_2027),
% 59.37/10.01    inference(avatar_split_clause,[],[f54059,f75048])).
% 59.37/10.01  tff(f75046,plain,(
% 59.37/10.01    spl2737_2026),
% 59.37/10.01    inference(avatar_split_clause,[],[f53623,f75044])).
% 59.37/10.01  tff(f75044,plain,(
% 59.37/10.01    spl2737_2026 <=> ! [X2 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X2,zero_zero(int))) | ~sP473(zero_zero(int),X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2026])])).
% 59.37/10.01  tff(f53623,plain,(
% 59.37/10.01    ( ! [X2 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X2,zero_zero(int))) | ~sP473(zero_zero(int),X1,X2)) )),
% 59.37/10.01    inference(equality_resolution,[],[f48520])).
% 59.37/10.01  tff(f48520,plain,(
% 59.37/10.01    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,X2,zero_zero(int))) | zero_zero(int) != X0 | ~sP473(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33344])).
% 59.37/10.01  tff(f75041,plain,(
% 59.37/10.01    spl2737_2025),
% 59.37/10.01    inference(avatar_split_clause,[],[f52994,f75039])).
% 59.37/10.01  tff(f75039,plain,(
% 59.37/10.01    spl2737_2025 <=> ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2025])])).
% 59.37/10.01  tff(f52994,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f41472])).
% 59.37/10.01  tff(f41472,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),X1) | one_one(nat) != X1 | ~semiring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29729])).
% 59.37/10.01  tff(f75037,plain,(
% 59.37/10.01    spl2737_2024 | ~spl2737_205 | ~spl2737_944),
% 59.37/10.01    inference(avatar_split_clause,[],[f69193,f68833,f65244,f75034])).
% 59.37/10.01  tff(f75034,plain,(
% 59.37/10.01    spl2737_2024 <=> sP156(nat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2024])])).
% 59.37/10.01  tff(f65244,plain,(
% 59.37/10.01    spl2737_205 <=> bit_semiring_bits(nat)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_205])])).
% 59.37/10.01  tff(f69193,plain,(
% 59.37/10.01    sP156(nat) | (~spl2737_205 | ~spl2737_944)),
% 59.37/10.01    inference(resolution,[],[f68834,f65246])).
% 59.37/10.01  tff(f65246,plain,(
% 59.37/10.01    bit_semiring_bits(nat) | ~spl2737_205),
% 59.37/10.01    inference(avatar_component_clause,[],[f65244])).
% 59.37/10.01  tff(f75032,plain,(
% 59.37/10.01    spl2737_2023),
% 59.37/10.01    inference(avatar_split_clause,[],[f52868,f75030])).
% 59.37/10.01  tff(f75030,plain,(
% 59.37/10.01    spl2737_2023 <=> ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2023])])).
% 59.37/10.01  tff(f52868,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_char_0(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f40434])).
% 59.37/10.01  tff(f40434,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : int] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),X1) | one_one(int) != X1 | ~ring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29459])).
% 59.37/10.01  tff(f75028,plain,(
% 59.37/10.01    spl2737_2022),
% 59.37/10.01    inference(avatar_split_clause,[],[f52866,f75026])).
% 59.37/10.01  tff(f75026,plain,(
% 59.37/10.01    spl2737_2022 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),zero_zero(int)) | ~ring_char_0(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2022])])).
% 59.37/10.01  tff(f52866,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),zero_zero(int)) | ~ring_char_0(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f40430])).
% 59.37/10.01  tff(f40430,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : int] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),X1) | zero_zero(int) != X1 | ~ring_char_0(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f29457])).
% 59.37/10.01  tff(f75024,plain,(
% 59.37/10.01    spl2737_2021),
% 59.37/10.01    inference(avatar_split_clause,[],[f52826,f75022])).
% 59.37/10.01  tff(f75022,plain,(
% 59.37/10.01    spl2737_2021 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~linordered_idom(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2021])])).
% 59.37/10.01  tff(f52826,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~linordered_idom(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f40011])).
% 59.37/10.01  tff(f40011,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1 | ~linordered_idom(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f20806])).
% 59.37/10.01  tff(f20806,plain,(
% 59.37/10.01    ! [X0 : $tType] : (! [X1 : X0] : ((((aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,sgn_sgn(X0),X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))) & (one_one(X0) = aa(X0,X0,sgn_sgn(X0),X1) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))) | zero_zero(X0) = X1) & (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1) | zero_zero(X0) != X1)) | ~linordered_idom(X0))),
% 59.37/10.01    inference(ennf_transformation,[],[f12507])).
% 59.37/10.01  tff(f12507,plain,(
% 59.37/10.01    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0] : ((zero_zero(X0) != X1 => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,sgn_sgn(X0),X1)) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) => one_one(X0) = aa(X0,X0,sgn_sgn(X0),X1)))) & (zero_zero(X0) = X1 => zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X1))))),
% 59.37/10.01    inference(rectify,[],[f1920])).
% 59.37/10.01  tff(f1920,axiom,(
% 59.37/10.01    ! [X0 : $tType] : (linordered_idom(X0) => ! [X14 : X0] : ((zero_zero(X0) != X14 => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X14)) => aa(X0,X0,uminus_uminus(X0),one_one(X0)) = aa(X0,X0,sgn_sgn(X0),X14)) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X14)) => one_one(X0) = aa(X0,X0,sgn_sgn(X0),X14)))) & (zero_zero(X0) = X14 => zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),X14))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1919_sgn__if)).
% 59.37/10.01  tff(f75020,plain,(
% 59.37/10.01    spl2737_2020),
% 59.37/10.01    inference(avatar_split_clause,[],[f52763,f75018])).
% 59.37/10.01  tff(f75018,plain,(
% 59.37/10.01    spl2737_2020 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~linord5086331880401160121up_add(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2020])])).
% 59.37/10.01  tff(f52763,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~linord5086331880401160121up_add(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f39131])).
% 59.37/10.01  tff(f39131,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,uminus_uminus(X0),X1) = X1 | zero_zero(X0) != X1 | ~linord5086331880401160121up_add(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28966])).
% 59.37/10.01  tff(f75016,plain,(
% 59.37/10.01    spl2737_2019),
% 59.37/10.01    inference(avatar_split_clause,[],[f52635,f75014])).
% 59.37/10.01  tff(f75014,plain,(
% 59.37/10.01    spl2737_2019 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~field(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2019])])).
% 59.37/10.01  tff(f52635,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~field(X0)) )),
% 59.37/10.01    inference(equality_resolution,[],[f38659])).
% 59.37/10.01  tff(f38659,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),X1) | one_one(X0) != X1 | ~field(X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f28858])).
% 59.37/10.01  tff(f75012,plain,(
% 59.37/10.01    spl2737_2018),
% 59.37/10.01    inference(avatar_split_clause,[],[f50513,f75009])).
% 59.37/10.01  tff(f75009,plain,(
% 59.37/10.01    spl2737_2018 <=> one_one(extended_enat) = extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),zero_zero(extended_enat))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2018])])).
% 59.37/10.01  tff(f50513,plain,(
% 59.37/10.01    one_one(extended_enat) = extended_case_enat(extended_enat,aTP_Lamp_aee(nat,extended_enat),extend4730790105801354508finity(extended_enat),zero_zero(extended_enat))),
% 59.37/10.01    inference(definition_unfolding,[],[f35406,f35838])).
% 59.37/10.01  tff(f35406,plain,(
% 59.37/10.01    one_one(extended_enat) = extended_eSuc(zero_zero(extended_enat))),
% 59.37/10.01    inference(cnf_transformation,[],[f7238])).
% 59.37/10.01  tff(f7238,axiom,(
% 59.37/10.01    one_one(extended_enat) = extended_eSuc(zero_zero(extended_enat))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7237_one__eSuc)).
% 59.37/10.01  tff(f75007,plain,(
% 59.37/10.01    spl2737_2017),
% 59.37/10.01    inference(avatar_split_clause,[],[f50038,f75005])).
% 59.37/10.01  tff(f75005,plain,(
% 59.37/10.01    spl2737_2017 <=> ! [X2 : $tType,X4 : list(X2),X0 : list(X2),X3 : X2,X1 : fun(X2,bool)] : (pp(aa(X2,bool,X1,X3)) | ~sP540(X2,X0,X1,X3,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2017])])).
% 59.37/10.01  tff(f50038,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,bool),X4 : list(X2)] : (pp(aa(X2,bool,X1,X3)) | ~sP540(X2,X0,X1,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34304])).
% 59.37/10.01  tff(f34304,plain,(
% 59.37/10.01    ! [X0 : list(X2),X1 : fun(X2,bool),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP540(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ~pp(aa(X2,bool,X1,X3)) | (pp(aa(X2,bool,X1,sK2665(X2,X1,X5))) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2665(X2,X1,X5)),aa(list(X2),set(X2),set2(X2),X5)))) | append(X2,X5,cons(X2,X3,X6)) != X4)) & ((filter2(X2,X1,sK2667(X2,X0,X1,X3,X4)) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),sK2666(X2,X0,X1,X3,X4))))) & append(X2,sK2666(X2,X0,X1,X3,X4),cons(X2,X3,sK2667(X2,X0,X1,X3,X4))) = X4) | ~sP540(X2,X0,X1,X3,X4)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2665,sK2666,sK2667])],[f34301,f34303,f34302])).
% 59.37/10.01  tff(f34302,plain,(
% 59.37/10.01    ! [X2 : $tType,X1 : fun(X2,bool),X5 : list(X2)] : (? [X7 : X2] : (pp(aa(X2,bool,X1,X7)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X7),aa(list(X2),set(X2),set2(X2),X5)))) => (pp(aa(X2,bool,X1,sK2665(X2,X1,X5))) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2665(X2,X1,X5)),aa(list(X2),set(X2),set2(X2),X5)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f34303,plain,(
% 59.37/10.01    ! [X2 : $tType,X0 : list(X2),X1 : fun(X2,bool),X3 : X2,X4 : list(X2)] : (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),X8)))) & append(X2,X8,cons(X2,X3,X9)) = X4) => (filter2(X2,X1,sK2667(X2,X0,X1,X3,X4)) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),sK2666(X2,X0,X1,X3,X4))))) & append(X2,sK2666(X2,X0,X1,X3,X4),cons(X2,X3,sK2667(X2,X0,X1,X3,X4))) = X4))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f34301,plain,(
% 59.37/10.01    ! [X0 : list(X2),X1 : fun(X2,bool),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP540(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ~pp(aa(X2,bool,X1,X3)) | ? [X7 : X2] : (pp(aa(X2,bool,X1,X7)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X7),aa(list(X2),set(X2),set2(X2),X5)))) | append(X2,X5,cons(X2,X3,X6)) != X4)) & (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),X8)))) & append(X2,X8,cons(X2,X3,X9)) = X4) | ~sP540(X2,X0,X1,X3,X4)))),
% 59.37/10.01    inference(rectify,[],[f34300])).
% 59.37/10.01  tff(f34300,plain,(
% 59.37/10.01    ! [X4 : list(X0),X1 : fun(X0,bool),X0 : $tType,X3 : X0,X2 : list(X0)] : ((sP540(X0,X4,X1,X3,X2) | ! [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X1,X6) != X4 | ~pp(aa(X0,bool,X1,X3)) | ? [X7 : X0] : (pp(aa(X0,bool,X1,X7)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X5)))) | append(X0,X5,cons(X0,X3,X6)) != X2)) & (? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X1,X6) = X4 & pp(aa(X0,bool,X1,X3)) & ! [X7 : X0] : (~pp(aa(X0,bool,X1,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X5)))) & append(X0,X5,cons(X0,X3,X6)) = X2) | ~sP540(X0,X4,X1,X3,X2)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27903])).
% 59.37/10.01  tff(f27903,plain,(
% 59.37/10.01    ! [X4 : list(X0),X1 : fun(X0,bool),X0 : $tType,X3 : X0,X2 : list(X0)] : (sP540(X0,X4,X1,X3,X2) <=> ? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X1,X6) = X4 & pp(aa(X0,bool,X1,X3)) & ! [X7 : X0] : (~pp(aa(X0,bool,X1,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X5)))) & append(X0,X5,cons(X0,X3,X6)) = X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP540])])).
% 59.37/10.01  tff(f75003,plain,(
% 59.37/10.01    spl2737_2016),
% 59.37/10.01    inference(avatar_split_clause,[],[f50030,f75001])).
% 59.37/10.01  tff(f75001,plain,(
% 59.37/10.01    spl2737_2016 <=> ! [X2 : $tType,X4 : list(X2),X0 : list(X2),X3 : X2,X1 : fun(X2,bool)] : (pp(aa(X2,bool,X1,X3)) | ~sP539(X2,X0,X1,X3,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2016])])).
% 59.37/10.01  tff(f50030,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,bool),X4 : list(X2)] : (pp(aa(X2,bool,X1,X3)) | ~sP539(X2,X0,X1,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34298])).
% 59.37/10.01  tff(f34298,plain,(
% 59.37/10.01    ! [X0 : list(X2),X1 : fun(X2,bool),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP539(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ~pp(aa(X2,bool,X1,X3)) | (pp(aa(X2,bool,X1,sK2662(X2,X1,X5))) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2662(X2,X1,X5)),aa(list(X2),set(X2),set2(X2),X5)))) | append(X2,X5,cons(X2,X3,X6)) != X4)) & ((filter2(X2,X1,sK2664(X2,X0,X1,X3,X4)) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),sK2663(X2,X0,X1,X3,X4))))) & append(X2,sK2663(X2,X0,X1,X3,X4),cons(X2,X3,sK2664(X2,X0,X1,X3,X4))) = X4) | ~sP539(X2,X0,X1,X3,X4)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2662,sK2663,sK2664])],[f34295,f34297,f34296])).
% 59.37/10.01  tff(f34296,plain,(
% 59.37/10.01    ! [X2 : $tType,X1 : fun(X2,bool),X5 : list(X2)] : (? [X7 : X2] : (pp(aa(X2,bool,X1,X7)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X7),aa(list(X2),set(X2),set2(X2),X5)))) => (pp(aa(X2,bool,X1,sK2662(X2,X1,X5))) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2662(X2,X1,X5)),aa(list(X2),set(X2),set2(X2),X5)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f34297,plain,(
% 59.37/10.01    ! [X2 : $tType,X0 : list(X2),X1 : fun(X2,bool),X3 : X2,X4 : list(X2)] : (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),X8)))) & append(X2,X8,cons(X2,X3,X9)) = X4) => (filter2(X2,X1,sK2664(X2,X0,X1,X3,X4)) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),sK2663(X2,X0,X1,X3,X4))))) & append(X2,sK2663(X2,X0,X1,X3,X4),cons(X2,X3,sK2664(X2,X0,X1,X3,X4))) = X4))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f34295,plain,(
% 59.37/10.01    ! [X0 : list(X2),X1 : fun(X2,bool),X2 : $tType,X3 : X2,X4 : list(X2)] : ((sP539(X2,X0,X1,X3,X4) | ! [X5 : list(X2),X6 : list(X2)] : (filter2(X2,X1,X6) != X0 | ~pp(aa(X2,bool,X1,X3)) | ? [X7 : X2] : (pp(aa(X2,bool,X1,X7)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X7),aa(list(X2),set(X2),set2(X2),X5)))) | append(X2,X5,cons(X2,X3,X6)) != X4)) & (? [X8 : list(X2),X9 : list(X2)] : (filter2(X2,X1,X9) = X0 & pp(aa(X2,bool,X1,X3)) & ! [X10 : X2] : (~pp(aa(X2,bool,X1,X10)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X10),aa(list(X2),set(X2),set2(X2),X8)))) & append(X2,X8,cons(X2,X3,X9)) = X4) | ~sP539(X2,X0,X1,X3,X4)))),
% 59.37/10.01    inference(rectify,[],[f34294])).
% 59.37/10.01  tff(f34294,plain,(
% 59.37/10.01    ! [X2 : list(X0),X3 : fun(X0,bool),X0 : $tType,X1 : X0,X4 : list(X0)] : ((sP539(X0,X2,X3,X1,X4) | ! [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X3,X6) != X2 | ~pp(aa(X0,bool,X3,X1)) | ? [X7 : X0] : (pp(aa(X0,bool,X3,X7)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X5)))) | append(X0,X5,cons(X0,X1,X6)) != X4)) & (? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X3,X6) = X2 & pp(aa(X0,bool,X3,X1)) & ! [X7 : X0] : (~pp(aa(X0,bool,X3,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X5)))) & append(X0,X5,cons(X0,X1,X6)) = X4) | ~sP539(X0,X2,X3,X1,X4)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27901])).
% 59.37/10.01  tff(f27901,plain,(
% 59.37/10.01    ! [X2 : list(X0),X3 : fun(X0,bool),X0 : $tType,X1 : X0,X4 : list(X0)] : (sP539(X0,X2,X3,X1,X4) <=> ? [X5 : list(X0),X6 : list(X0)] : (filter2(X0,X3,X6) = X2 & pp(aa(X0,bool,X3,X1)) & ! [X7 : X0] : (~pp(aa(X0,bool,X3,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X5)))) & append(X0,X5,cons(X0,X1,X6)) = X4))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP539])])).
% 59.37/10.01  tff(f74999,plain,(
% 59.37/10.01    spl2737_2015),
% 59.37/10.01    inference(avatar_split_clause,[],[f49846,f74997])).
% 59.37/10.01  tff(f74997,plain,(
% 59.37/10.01    spl2737_2015 <=> ! [X0 : $tType,X4 : fun(X0,X0),X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (bounde6485984586167503788ce_set(X0,X1,X2,X3,X4) | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2015])])).
% 59.37/10.01  tff(f49846,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0)] : (bounde6485984586167503788ce_set(X0,X1,X2,X3,X4) | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f26732])).
% 59.37/10.01  tff(f26732,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (bounde6485984586167503788ce_set(X0,X1,X2,X3,X4) | ~bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.37/10.01    inference(ennf_transformation,[],[f18054])).
% 59.37/10.01  tff(f18054,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) => bounde6485984586167503788ce_set(X0,X1,X2,X3,X4))),
% 59.37/10.01    inference(rectify,[],[f7696])).
% 59.37/10.01  tff(f7696,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X327 : X0,X328 : X0,X329 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X32,X327,X328,X329) => bounde6485984586167503788ce_set(X0,X32,X327,X328,X329))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7695_bounded__quasi__semilattice__set_Ointro)).
% 59.37/10.01  tff(f74995,plain,(
% 59.37/10.01    spl2737_2014),
% 59.37/10.01    inference(avatar_split_clause,[],[f49844,f74993])).
% 59.37/10.01  tff(f74993,plain,(
% 59.37/10.01    spl2737_2014 <=> ! [X0 : $tType,X4 : fun(X0,X0),X3 : X0,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) | ~bounde6485984586167503788ce_set(X0,X1,X2,X3,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2014])])).
% 59.37/10.01  tff(f49844,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) | ~bounde6485984586167503788ce_set(X0,X1,X2,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f26730])).
% 59.37/10.01  tff(f26730,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (bounde8507323023520639062attice(X0,X1,X2,X3,X4) | ~bounde6485984586167503788ce_set(X0,X1,X2,X3,X4))),
% 59.37/10.01    inference(ennf_transformation,[],[f18052])).
% 59.37/10.01  tff(f18052,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : X0,X4 : fun(X0,X0)] : (bounde6485984586167503788ce_set(X0,X1,X2,X3,X4) => bounde8507323023520639062attice(X0,X1,X2,X3,X4))),
% 59.37/10.01    inference(rectify,[],[f7697])).
% 59.37/10.01  tff(f7697,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X327 : X0,X328 : X0,X329 : fun(X0,X0)] : (bounde6485984586167503788ce_set(X0,X32,X327,X328,X329) => bounde8507323023520639062attice(X0,X32,X327,X328,X329))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7696_bounded__quasi__semilattice__set_Oaxioms)).
% 59.37/10.01  tff(f74991,plain,(
% 59.37/10.01    spl2737_2013 | ~spl2737_203 | ~spl2737_944),
% 59.37/10.01    inference(avatar_split_clause,[],[f69192,f68833,f65234,f74988])).
% 59.37/10.01  tff(f74988,plain,(
% 59.37/10.01    spl2737_2013 <=> sP156(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2013])])).
% 59.37/10.01  tff(f65234,plain,(
% 59.37/10.01    spl2737_203 <=> bit_semiring_bits(code_integer)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_203])])).
% 59.37/10.01  tff(f69192,plain,(
% 59.37/10.01    sP156(code_integer) | (~spl2737_203 | ~spl2737_944)),
% 59.37/10.01    inference(resolution,[],[f68834,f65236])).
% 59.37/10.01  tff(f65236,plain,(
% 59.37/10.01    bit_semiring_bits(code_integer) | ~spl2737_203),
% 59.37/10.01    inference(avatar_component_clause,[],[f65234])).
% 59.37/10.01  tff(f74986,plain,(
% 59.37/10.01    spl2737_2012),
% 59.37/10.01    inference(avatar_split_clause,[],[f49567,f74984])).
% 59.37/10.01  tff(f74984,plain,(
% 59.37/10.01    spl2737_2012 <=> ! [X0 : $tType,X3 : list(X0),X2 : list(X0),X1 : fun(X0,fun(X0,bool))] : (sorted_wrt(X0,X1,append(X0,X2,X3)) | ~sP524(X0,X1,X3,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2012])])).
% 59.37/10.01  tff(f49567,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,fun(X0,bool))] : (sorted_wrt(X0,X1,append(X0,X2,X3)) | ~sP524(X0,X1,X3,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34024])).
% 59.37/10.01  tff(f34024,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0),X3 : list(X0)] : ((sorted_wrt(X0,X1,append(X0,X2,X3)) | ~sP524(X0,X1,X3,X2)) & (sP524(X0,X1,X3,X2) | ~sorted_wrt(X0,X1,append(X0,X2,X3))))),
% 59.37/10.01    inference(nnf_transformation,[],[f27873])).
% 59.37/10.01  tff(f27873,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0),X3 : list(X0)] : (sorted_wrt(X0,X1,append(X0,X2,X3)) <=> sP524(X0,X1,X3,X2))),
% 59.37/10.01    inference(definition_folding,[],[f26664,f27872])).
% 59.37/10.01  tff(f27872,plain,(
% 59.37/10.01    ! [X1 : fun(X0,fun(X0,bool)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : (sP524(X0,X1,X3,X2) <=> (! [X4 : X0] : (! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X3)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP524])])).
% 59.37/10.01  tff(f26664,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0),X3 : list(X0)] : (sorted_wrt(X0,X1,append(X0,X2,X3)) <=> (! [X4 : X0] : (! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X3)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)))),
% 59.37/10.01    inference(ennf_transformation,[],[f17930])).
% 59.37/10.01  tff(f17930,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : list(X0),X3 : list(X0)] : (sorted_wrt(X0,X1,append(X0,X2,X3)) <=> (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2))) => ! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X3))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X5)))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)))),
% 59.37/10.01    inference(rectify,[],[f5452])).
% 59.37/10.01  tff(f5452,axiom,(
% 59.37/10.01    ! [X0 : $tType,X17 : fun(X0,fun(X0,bool)),X123 : list(X0),X167 : list(X0)] : (sorted_wrt(X0,X17,append(X0,X123,X167)) <=> (! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123))) => ! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),aa(list(X0),set(X0),set2(X0),X167))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),X17,X115),X138)))) & sorted_wrt(X0,X17,X167) & sorted_wrt(X0,X17,X123)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5451_sorted__wrt__append)).
% 59.37/10.01  tff(f74982,plain,(
% 59.37/10.01    spl2737_2011),
% 59.37/10.01    inference(avatar_split_clause,[],[f49566,f74980])).
% 59.37/10.01  tff(f74980,plain,(
% 59.37/10.01    spl2737_2011 <=> ! [X0 : $tType,X3 : list(X0),X2 : list(X0),X1 : fun(X0,fun(X0,bool))] : (sP524(X0,X1,X3,X2) | ~sorted_wrt(X0,X1,append(X0,X2,X3)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2011])])).
% 59.37/10.01  tff(f49566,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,fun(X0,bool))] : (sP524(X0,X1,X3,X2) | ~sorted_wrt(X0,X1,append(X0,X2,X3))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34024])).
% 59.37/10.01  tff(f74978,plain,(
% 59.37/10.01    spl2737_2010),
% 59.37/10.01    inference(avatar_split_clause,[],[f49559,f74976])).
% 59.37/10.01  tff(f74976,plain,(
% 59.37/10.01    spl2737_2010 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (vEBT_Leaf(X0,X1) = vEBT_Leaf(X2,X3) | ~sP523(X3,X1,X2,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2010])])).
% 59.37/10.01  tff(f49559,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (vEBT_Leaf(X0,X1) = vEBT_Leaf(X2,X3) | ~sP523(X3,X1,X2,X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34017])).
% 59.37/10.01  tff(f34017,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : bool,X2 : bool,X3 : bool] : ((vEBT_Leaf(X0,X1) = vEBT_Leaf(X2,X3) | ~sP523(X3,X1,X2,X0)) & (sP523(X3,X1,X2,X0) | vEBT_Leaf(X0,X1) != vEBT_Leaf(X2,X3)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27871])).
% 59.37/10.01  tff(f27871,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : bool,X2 : bool,X3 : bool] : (vEBT_Leaf(X0,X1) = vEBT_Leaf(X2,X3) <=> sP523(X3,X1,X2,X0))),
% 59.37/10.01    inference(definition_folding,[],[f17929,f27870])).
% 59.37/10.01  tff(f17929,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : bool,X2 : bool,X3 : bool] : (vEBT_Leaf(X0,X1) = vEBT_Leaf(X2,X3) <=> ((pp(X1) <=> pp(X3)) & (pp(X0) <=> pp(X2))))),
% 59.37/10.01    inference(rectify,[],[f297])).
% 59.37/10.01  tff(f297,axiom,(
% 59.37/10.01    ! [X84 : bool,X85 : bool,X86 : bool,X87 : bool] : (vEBT_Leaf(X84,X85) = vEBT_Leaf(X86,X87) <=> ((pp(X85) <=> pp(X87)) & (pp(X84) <=> pp(X86))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_VEBT_Oinject_I2_J)).
% 59.37/10.01  tff(f74974,plain,(
% 59.37/10.01    spl2737_2009),
% 59.37/10.01    inference(avatar_split_clause,[],[f49558,f74972])).
% 59.37/10.01  tff(f74972,plain,(
% 59.37/10.01    spl2737_2009 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (sP523(X3,X1,X2,X0) | vEBT_Leaf(X0,X1) != vEBT_Leaf(X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2009])])).
% 59.37/10.01  tff(f49558,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (sP523(X3,X1,X2,X0) | vEBT_Leaf(X0,X1) != vEBT_Leaf(X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f34017])).
% 59.37/10.01  tff(f74970,plain,(
% 59.37/10.01    spl2737_2008),
% 59.37/10.01    inference(avatar_split_clause,[],[f49439,f74968])).
% 59.37/10.01  tff(f74968,plain,(
% 59.37/10.01    spl2737_2008 <=> ! [X2 : $tType,X4 : bool,X0 : list(X2),X3 : X2,X1 : fun(X2,fun(X2,bool))] : (sorted_wrt(X2,X1,X0) | ~pp(X4) | ~sP506(X2,X0,X1,X3,X4))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2008])])).
% 59.37/10.01  tff(f49439,plain,(
% 59.37/10.01    ( ! [X2 : $tType,X3 : X2,X0 : list(X2),X1 : fun(X2,fun(X2,bool)),X4 : bool] : (sorted_wrt(X2,X1,X0) | ~pp(X4) | ~sP506(X2,X0,X1,X3,X4)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33885])).
% 59.37/10.01  tff(f33885,plain,(
% 59.37/10.01    ! [X0 : list(X2),X1 : fun(X2,fun(X2,bool)),X2 : $tType,X3 : X2,X4 : bool] : ((((sorted_wrt(X2,X1,X0) & ! [X5 : X2] : (pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),X5)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X5),aa(list(X2),set(X2),set2(X2),X0))))) | ~pp(X4)) & (~sorted_wrt(X2,X1,X0) | (~pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),sK2531(X2,X0,X1,X3))) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2531(X2,X0,X1,X3)),aa(list(X2),set(X2),set2(X2),X0)))) | pp(X4))) | ~sP506(X2,X0,X1,X3,X4))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2531])],[f33883,f33884])).
% 59.37/10.01  tff(f33884,plain,(
% 59.37/10.01    ! [X2 : $tType,X0 : list(X2),X1 : fun(X2,fun(X2,bool)),X3 : X2] : (? [X6 : X2] : (~pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),X6)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X6),aa(list(X2),set(X2),set2(X2),X0)))) => (~pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),sK2531(X2,X0,X1,X3))) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),sK2531(X2,X0,X1,X3)),aa(list(X2),set(X2),set2(X2),X0)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f33883,plain,(
% 59.37/10.01    ! [X0 : list(X2),X1 : fun(X2,fun(X2,bool)),X2 : $tType,X3 : X2,X4 : bool] : ((((sorted_wrt(X2,X1,X0) & ! [X5 : X2] : (pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),X5)) | ~pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X5),aa(list(X2),set(X2),set2(X2),X0))))) | ~pp(X4)) & (~sorted_wrt(X2,X1,X0) | ? [X6 : X2] : (~pp(aa(X2,bool,aa(X2,fun(X2,bool),X1,X3),X6)) & pp(aa(set(X2),bool,aa(X2,fun(set(X2),bool),member(X2),X6),aa(list(X2),set(X2),set2(X2),X0)))) | pp(X4))) | ~sP506(X2,X0,X1,X3,X4))),
% 59.37/10.01    inference(rectify,[],[f33882])).
% 59.37/10.01  tff(f33882,plain,(
% 59.37/10.01    ! [X5 : list(X0),X1 : fun(X0,fun(X0,bool)),X0 : $tType,X4 : X0,X3 : bool] : ((((sorted_wrt(X0,X1,X5) & ! [X6 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X5))))) | ~pp(X3)) & (~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X6)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X5)))) | pp(X3))) | ~sP506(X0,X5,X1,X4,X3))),
% 59.37/10.01    inference(flattening,[],[f33881])).
% 59.37/10.01  tff(f33881,plain,(
% 59.37/10.01    ! [X5 : list(X0),X1 : fun(X0,fun(X0,bool)),X0 : $tType,X4 : X0,X3 : bool] : ((((sorted_wrt(X0,X1,X5) & ! [X6 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X5))))) | ~pp(X3)) & ((~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X6)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X5))))) | pp(X3))) | ~sP506(X0,X5,X1,X4,X3))),
% 59.37/10.01    inference(nnf_transformation,[],[f27845])).
% 59.37/10.01  tff(f27845,plain,(
% 59.37/10.01    ! [X5 : list(X0),X1 : fun(X0,fun(X0,bool)),X0 : $tType,X4 : X0,X3 : bool] : ((pp(X3) <~> (~sorted_wrt(X0,X1,X5) | ? [X6 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X6)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X5)))))) | ~sP506(X0,X5,X1,X4,X3))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP506])])).
% 59.37/10.01  tff(f74966,plain,(
% 59.37/10.01    spl2737_2007),
% 59.37/10.01    inference(avatar_split_clause,[],[f49202,f74964])).
% 59.37/10.01  tff(f74964,plain,(
% 59.37/10.01    spl2737_2007 <=> ! [X0 : $tType,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,X3,X2) = X2 | ~group(X0,X1,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2007])])).
% 59.37/10.01  tff(f49202,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0))] : (aa(X0,X0,X3,X2) = X2 | ~group(X0,X1,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f26404])).
% 59.37/10.01  tff(f26404,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (aa(X0,X0,X3,X2) = X2 | ~group(X0,X1,X2,X3))),
% 59.37/10.01    inference(ennf_transformation,[],[f17763])).
% 59.37/10.01  tff(f17763,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (group(X0,X1,X2,X3) => aa(X0,X0,X3,X2) = X2)),
% 59.37/10.01    inference(rectify,[],[f7373])).
% 59.37/10.01  tff(f7373,axiom,(
% 59.37/10.01    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X346 : fun(X0,X0)] : (group(X0,X32,X60,X346) => aa(X0,X0,X346,X60) = X60)),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7372_group_Oinverse__neutral)).
% 59.37/10.01  tff(f74962,plain,(
% 59.37/10.01    spl2737_2006),
% 59.37/10.01    inference(avatar_split_clause,[],[f48571,f74960])).
% 59.37/10.01  tff(f74960,plain,(
% 59.37/10.01    spl2737_2006 <=> ! [X2 : nat,X0 : bool,X1 : bool] : (sP477(X2,X1) | ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2006])])).
% 59.37/10.01  tff(f48571,plain,(
% 59.37/10.01    ( ! [X2 : nat,X0 : bool,X1 : bool] : (sP477(X2,X1) | ~pp(aa(nat,bool,vEBT_vebt_member(vEBT_Leaf(X0,X1)),X2))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33380])).
% 59.37/10.01  tff(f74958,plain,(
% 59.37/10.01    spl2737_2005),
% 59.37/10.01    inference(avatar_split_clause,[],[f48255,f74956])).
% 59.37/10.01  tff(f74956,plain,(
% 59.37/10.01    spl2737_2005 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (sP451(X1,X0) | ~pp(X2) | pp(X3) | ~sP452(X0,X1,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2005])])).
% 59.37/10.01  tff(f48255,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (sP451(X1,X0) | ~pp(X2) | pp(X3) | ~sP452(X0,X1,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33074])).
% 59.37/10.01  tff(f33074,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : nat,X2 : bool,X3 : bool] : ((((~sP451(X1,X0) & (pp(X2) | zero_zero(nat) != X1)) | ~pp(X3)) & (sP451(X1,X0) | (~pp(X2) & zero_zero(nat) = X1) | pp(X3))) | ~sP452(X0,X1,X2,X3))),
% 59.37/10.01    inference(rectify,[],[f33073])).
% 59.37/10.01  tff(f33073,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((((~sP451(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2)) & (sP451(X1,X4) | (~pp(X3) & zero_zero(nat) = X1) | pp(X2))) | ~sP452(X4,X1,X3,X2))),
% 59.37/10.01    inference(flattening,[],[f33072])).
% 59.37/10.01  tff(f33072,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((((~sP451(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2)) & ((sP451(X1,X4) | (~pp(X3) & zero_zero(nat) = X1)) | pp(X2))) | ~sP452(X4,X1,X3,X2))),
% 59.37/10.01    inference(nnf_transformation,[],[f27758])).
% 59.37/10.01  tff(f27758,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((pp(X2) <~> (sP451(X1,X4) | (~pp(X3) & zero_zero(nat) = X1))) | ~sP452(X4,X1,X3,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP452])])).
% 59.37/10.01  tff(f74954,plain,(
% 59.37/10.01    spl2737_2004),
% 59.37/10.01    inference(avatar_split_clause,[],[f48226,f74952])).
% 59.37/10.01  tff(f74952,plain,(
% 59.37/10.01    spl2737_2004 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (pp(X3) | ~sP442(X1,X0) | ~pp(X2) | ~sP443(X0,X1,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2004])])).
% 59.37/10.01  tff(f48226,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (pp(X3) | ~sP442(X1,X0) | ~pp(X2) | ~sP443(X0,X1,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33047])).
% 59.37/10.01  tff(f33047,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : nat,X2 : bool,X3 : bool] : (((pp(X3) | ~sP442(X1,X0) | (~pp(X2) & zero_zero(nat) = X1)) & ((sP442(X1,X0) & (pp(X2) | zero_zero(nat) != X1)) | ~pp(X3))) | ~sP443(X0,X1,X2,X3))),
% 59.37/10.01    inference(rectify,[],[f33046])).
% 59.37/10.01  tff(f33046,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : (((pp(X2) | ~sP442(X1,X4) | (~pp(X3) & zero_zero(nat) = X1)) & ((sP442(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2))) | ~sP443(X4,X1,X3,X2))),
% 59.37/10.01    inference(flattening,[],[f33045])).
% 59.37/10.01  tff(f33045,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : (((pp(X2) | (~sP442(X1,X4) | (~pp(X3) & zero_zero(nat) = X1))) & ((sP442(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2))) | ~sP443(X4,X1,X3,X2))),
% 59.37/10.01    inference(nnf_transformation,[],[f27748])).
% 59.37/10.01  tff(f27748,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((pp(X2) <=> (sP442(X1,X4) & (pp(X3) | zero_zero(nat) != X1))) | ~sP443(X4,X1,X3,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP443])])).
% 59.37/10.01  tff(f74950,plain,(
% 59.37/10.01    spl2737_2003),
% 59.37/10.01    inference(avatar_split_clause,[],[f48178,f74948])).
% 59.37/10.01  tff(f74948,plain,(
% 59.37/10.01    spl2737_2003 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sK2241(X0,X1,X2) != X0 | pp(X1) | ~sP438(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2003])])).
% 59.37/10.01  tff(f48178,plain,(
% 59.37/10.01    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sK2241(X0,X1,X2) != X0 | pp(X1) | ~sP438(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33004])).
% 59.37/10.01  tff(f74946,plain,(
% 59.37/10.01    spl2737_2002 | ~spl2737_202 | ~spl2737_944),
% 59.37/10.01    inference(avatar_split_clause,[],[f69191,f68833,f65229,f74943])).
% 59.37/10.01  tff(f74943,plain,(
% 59.37/10.01    spl2737_2002 <=> sP156(code_natural)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2002])])).
% 59.37/10.01  tff(f69191,plain,(
% 59.37/10.01    sP156(code_natural) | (~spl2737_202 | ~spl2737_944)),
% 59.37/10.01    inference(resolution,[],[f68834,f65231])).
% 59.37/10.01  tff(f74941,plain,(
% 59.37/10.01    spl2737_2001),
% 59.37/10.01    inference(avatar_split_clause,[],[f48177,f74939])).
% 59.37/10.01  tff(f74939,plain,(
% 59.37/10.01    spl2737_2001 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sK2240(X0,X1,X2) != X0 | pp(X1) | ~sP438(X0,X1,X2))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2001])])).
% 59.37/10.01  tff(f48177,plain,(
% 59.37/10.01    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (sK2240(X0,X1,X2) != X0 | pp(X1) | ~sP438(X0,X1,X2)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f33004])).
% 59.37/10.01  tff(f74937,plain,(
% 59.37/10.01    spl2737_2000),
% 59.37/10.01    inference(avatar_split_clause,[],[f48092,f74935])).
% 59.37/10.01  tff(f74935,plain,(
% 59.37/10.01    spl2737_2000 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (sP414(X1,X0) | ~pp(X2) | pp(X3) | ~sP415(X0,X1,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_2000])])).
% 59.37/10.01  tff(f48092,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (sP414(X1,X0) | ~pp(X2) | pp(X3) | ~sP415(X0,X1,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32915])).
% 59.37/10.01  tff(f32915,plain,(
% 59.37/10.01    ! [X0 : bool,X1 : nat,X2 : bool,X3 : bool] : ((((~sP414(X1,X0) & (pp(X2) | zero_zero(nat) != X1)) | ~pp(X3)) & (sP414(X1,X0) | (~pp(X2) & zero_zero(nat) = X1) | pp(X3))) | ~sP415(X0,X1,X2,X3))),
% 59.37/10.01    inference(rectify,[],[f32914])).
% 59.37/10.01  tff(f32914,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((((~sP414(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2)) & (sP414(X1,X4) | (~pp(X3) & zero_zero(nat) = X1) | pp(X2))) | ~sP415(X4,X1,X3,X2))),
% 59.37/10.01    inference(flattening,[],[f32913])).
% 59.37/10.01  tff(f32913,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((((~sP414(X1,X4) & (pp(X3) | zero_zero(nat) != X1)) | ~pp(X2)) & ((sP414(X1,X4) | (~pp(X3) & zero_zero(nat) = X1)) | pp(X2))) | ~sP415(X4,X1,X3,X2))),
% 59.37/10.01    inference(nnf_transformation,[],[f27715])).
% 59.37/10.01  tff(f27715,plain,(
% 59.37/10.01    ! [X4 : bool,X1 : nat,X3 : bool,X2 : bool] : ((pp(X2) <~> (sP414(X1,X4) | (~pp(X3) & zero_zero(nat) = X1))) | ~sP415(X4,X1,X3,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP415])])).
% 59.37/10.01  tff(f74933,plain,(
% 59.37/10.01    spl2737_1999),
% 59.37/10.01    inference(avatar_split_clause,[],[f48075,f74931])).
% 59.37/10.01  tff(f74931,plain,(
% 59.37/10.01    spl2737_1999 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (pp(X3) | ~sP408(X1,X0) | ~pp(X2) | ~sP409(X0,X1,X2,X3))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1999])])).
% 59.37/10.01  tff(f48075,plain,(
% 59.37/10.01    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (pp(X3) | ~sP408(X1,X0) | ~pp(X2) | ~sP409(X0,X1,X2,X3)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32899])).
% 59.37/10.01  tff(f74929,plain,(
% 59.37/10.01    spl2737_1998),
% 59.37/10.01    inference(avatar_split_clause,[],[f47552,f74927])).
% 59.37/10.01  tff(f74927,plain,(
% 59.37/10.01    spl2737_1998 <=> ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP389(X0,X1,X2) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1998])])).
% 59.37/10.01  tff(f47552,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP389(X0,X1,X2) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f27678])).
% 59.37/10.01  tff(f27678,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (sP389(X0,X1,X2) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(definition_folding,[],[f25711,f27677,f27676])).
% 59.37/10.01  tff(f27677,plain,(
% 59.37/10.01    ! [X1 : set(X0),X2 : fun(X0,nat),X0 : $tType] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> sP388(X0,X2,X1)) | ~sP389(X0,X1,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP389])])).
% 59.37/10.01  tff(f25711,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(flattening,[],[f25710])).
% 59.37/10.01  tff(f25710,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : ((zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(ennf_transformation,[],[f17067])).
% 59.37/10.01  tff(f17067,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) => (aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) => (X3 != X4 => zero_zero(nat) = aa(X0,nat,X2,X4))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))))),
% 59.37/10.01    inference(rectify,[],[f4142])).
% 59.37/10.01  tff(f4142,axiom,(
% 59.37/10.01    ! [X0 : $tType,X30 : set(X0),X32 : fun(X0,nat)] : (pp(aa(set(X0),bool,finite_finite(X0),X30)) => (aa(nat,nat,suc,zero_zero(nat)) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X32),X30) <=> ? [X115 : X0] : (! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),X30)) => (X115 != X138 => zero_zero(nat) = aa(X0,nat,X32,X138))) & aa(nat,nat,suc,zero_zero(nat)) = aa(X0,nat,X32,X115) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X30)))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4141_sum__eq__Suc0__iff)).
% 59.37/10.01  tff(f74925,plain,(
% 59.37/10.01    spl2737_1997),
% 59.37/10.01    inference(avatar_split_clause,[],[f47543,f74923])).
% 59.37/10.01  tff(f74923,plain,(
% 59.37/10.01    spl2737_1997 <=> ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP387(X0,X1,X2) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1997])])).
% 59.37/10.01  tff(f47543,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : fun(X0,nat),X1 : set(X0)] : (sP387(X0,X1,X2) | ~pp(aa(set(X0),bool,finite_finite(X0),X1))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f27675])).
% 59.37/10.01  tff(f27675,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (sP387(X0,X1,X2) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(definition_folding,[],[f25709,f27674,f27673])).
% 59.37/10.01  tff(f27674,plain,(
% 59.37/10.01    ! [X1 : set(X0),X2 : fun(X0,nat),X0 : $tType] : ((one_one(nat) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> sP386(X0,X2,X1)) | ~sP387(X0,X1,X2))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP387])])).
% 59.37/10.01  tff(f25709,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((one_one(nat) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4 | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & one_one(nat) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(flattening,[],[f25708])).
% 59.37/10.01  tff(f25708,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : ((one_one(nat) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : ((zero_zero(nat) = aa(X0,nat,X2,X4) | X3 = X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & one_one(nat) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))) | ~pp(aa(set(X0),bool,finite_finite(X0),X1)))),
% 59.37/10.01    inference(ennf_transformation,[],[f17066])).
% 59.37/10.01  tff(f17066,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : set(X0),X2 : fun(X0,nat)] : (pp(aa(set(X0),bool,finite_finite(X0),X1)) => (one_one(nat) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X2),X1) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) => (X3 != X4 => zero_zero(nat) = aa(X0,nat,X2,X4))) & one_one(nat) = aa(X0,nat,X2,X3) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)))))),
% 59.37/10.01    inference(rectify,[],[f4143])).
% 59.37/10.01  tff(f4143,axiom,(
% 59.37/10.01    ! [X0 : $tType,X30 : set(X0),X32 : fun(X0,nat)] : (pp(aa(set(X0),bool,finite_finite(X0),X30)) => (one_one(nat) = aa(set(X0),nat,aa(fun(X0,nat),fun(set(X0),nat),groups7311177749621191930dd_sum(X0,nat),X32),X30) <=> ? [X115 : X0] : (! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),X30)) => (X115 != X138 => zero_zero(nat) = aa(X0,nat,X32,X138))) & one_one(nat) = aa(X0,nat,X32,X115) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X30)))))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4142_sum__eq__1__iff)).
% 59.37/10.01  tff(f74921,plain,(
% 59.37/10.01    spl2737_1996),
% 59.37/10.01    inference(avatar_split_clause,[],[f47080,f74919])).
% 59.37/10.01  tff(f74919,plain,(
% 59.37/10.01    spl2737_1996 <=> ! [X0 : $tType,X2 : nat,X1 : X0] : aa(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1),X2) = X1),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1996])])).
% 59.37/10.01  tff(f47080,plain,(
% 59.37/10.01    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1),X2) = X1) )),
% 59.37/10.01    inference(cnf_transformation,[],[f16737])).
% 59.37/10.01  tff(f16737,plain,(
% 59.37/10.01    ! [X0 : $tType,X1 : X0,X2 : nat] : aa(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1),X2) = X1),
% 59.37/10.01    inference(rectify,[],[f8945])).
% 59.37/10.01  tff(f8945,axiom,(
% 59.37/10.01    ! [X0 : $tType,X94 : X0,X353 : nat] : aa(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X94),X353) = X94),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8944_ATP_Olambda__829)).
% 59.37/10.01  tff(f74917,plain,(
% 59.37/10.01    spl2737_1995),
% 59.37/10.01    inference(avatar_split_clause,[],[f46326,f74915])).
% 59.37/10.01  tff(f74915,plain,(
% 59.37/10.01    spl2737_1995 <=> ! [X1 : $tType,X0 : list(list(X1))] : (distinct(list(X1),removeAll(list(X1),nil(X1),X0)) | ~sP350(X1,X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1995])])).
% 59.37/10.01  tff(f46326,plain,(
% 59.37/10.01    ( ! [X1 : $tType,X0 : list(list(X1))] : (distinct(list(X1),removeAll(list(X1),nil(X1),X0)) | ~sP350(X1,X0)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f32008])).
% 59.37/10.01  tff(f32008,plain,(
% 59.37/10.01    ! [X0 : list(list(X1)),X1 : $tType] : ((sP350(X1,X0) | ~sP349(X1,X0) | (~distinct(X1,sK1945(X1,X0)) & pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),sK1945(X1,X0)),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))) | ~distinct(list(X1),removeAll(list(X1),nil(X1),X0))) & ((sP349(X1,X0) & ! [X3 : list(X1)] : (distinct(X1,X3) | ~pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),X3),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))) & distinct(list(X1),removeAll(list(X1),nil(X1),X0))) | ~sP350(X1,X0)))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1945])],[f32006,f32007])).
% 59.37/10.01  tff(f32007,plain,(
% 59.37/10.01    ! [X1 : $tType,X0 : list(list(X1))] : (? [X2 : list(X1)] : (~distinct(X1,X2) & pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),X2),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))) => (~distinct(X1,sK1945(X1,X0)) & pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),sK1945(X1,X0)),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f32006,plain,(
% 59.37/10.01    ! [X0 : list(list(X1)),X1 : $tType] : ((sP350(X1,X0) | ~sP349(X1,X0) | ? [X2 : list(X1)] : (~distinct(X1,X2) & pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),X2),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))) | ~distinct(list(X1),removeAll(list(X1),nil(X1),X0))) & ((sP349(X1,X0) & ! [X3 : list(X1)] : (distinct(X1,X3) | ~pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),X3),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))) & distinct(list(X1),removeAll(list(X1),nil(X1),X0))) | ~sP350(X1,X0)))),
% 59.37/10.01    inference(rectify,[],[f32005])).
% 59.37/10.01  tff(f32005,plain,(
% 59.37/10.01    ! [X1 : list(list(X0)),X0 : $tType] : ((sP350(X0,X1) | ~sP349(X0,X1) | ? [X4 : list(X0)] : (~distinct(X0,X4) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~distinct(list(X0),removeAll(list(X0),nil(X0),X1))) & ((sP349(X0,X1) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))) | ~sP350(X0,X1)))),
% 59.37/10.01    inference(flattening,[],[f32004])).
% 59.37/10.01  tff(f32004,plain,(
% 59.37/10.01    ! [X1 : list(list(X0)),X0 : $tType] : ((sP350(X0,X1) | (~sP349(X0,X1) | ? [X4 : list(X0)] : (~distinct(X0,X4) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~distinct(list(X0),removeAll(list(X0),nil(X0),X1)))) & ((sP349(X0,X1) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))) | ~sP350(X0,X1)))),
% 59.37/10.01    inference(nnf_transformation,[],[f27612])).
% 59.37/10.01  tff(f27612,plain,(
% 59.37/10.01    ! [X1 : list(list(X0)),X0 : $tType] : (sP350(X0,X1) <=> (sP349(X0,X1) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP350])])).
% 59.37/10.01  tff(f74913,plain,(
% 59.37/10.01    spl2737_1994),
% 59.37/10.01    inference(avatar_split_clause,[],[f46190,f74911])).
% 59.37/10.01  tff(f74911,plain,(
% 59.37/10.01    spl2737_1994 <=> ! [X0 : fun(rat,bool),X1 : rat] : (pp(aa(rat,bool,X0,X1)) | algebr8660921524188924756oprime(int,sK1887(X0),sK1888(X0)))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1994])])).
% 59.37/10.01  tff(f46190,plain,(
% 59.37/10.01    ( ! [X0 : fun(rat,bool),X1 : rat] : (pp(aa(rat,bool,X0,X1)) | algebr8660921524188924756oprime(int,sK1887(X0),sK1888(X0))) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31891])).
% 59.37/10.01  tff(f31891,plain,(
% 59.37/10.01    ! [X0 : fun(rat,bool),X1 : rat] : (pp(aa(rat,bool,X0,X1)) | (~pp(aa(rat,bool,X0,aa(int,rat,aa(int,fun(int,rat),fract,sK1887(X0)),sK1888(X0)))) & algebr8660921524188924756oprime(int,sK1887(X0),sK1888(X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1888(X0)))))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1887,sK1888])],[f25510,f31890])).
% 59.37/10.01  tff(f31890,plain,(
% 59.37/10.01    ! [X0 : fun(rat,bool)] : (? [X2 : int,X3 : int] : (~pp(aa(rat,bool,X0,aa(int,rat,aa(int,fun(int,rat),fract,X2),X3))) & algebr8660921524188924756oprime(int,X2,X3) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))) => (~pp(aa(rat,bool,X0,aa(int,rat,aa(int,fun(int,rat),fract,sK1887(X0)),sK1888(X0)))) & algebr8660921524188924756oprime(int,sK1887(X0),sK1888(X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1888(X0)))))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f25510,plain,(
% 59.37/10.01    ! [X0 : fun(rat,bool),X1 : rat] : (pp(aa(rat,bool,X0,X1)) | ? [X2 : int,X3 : int] : (~pp(aa(rat,bool,X0,aa(int,rat,aa(int,fun(int,rat),fract,X2),X3))) & algebr8660921524188924756oprime(int,X2,X3) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))))),
% 59.37/10.01    inference(flattening,[],[f25509])).
% 59.37/10.01  tff(f25509,plain,(
% 59.37/10.01    ! [X0 : fun(rat,bool),X1 : rat] : (pp(aa(rat,bool,X0,X1)) | ? [X2 : int,X3 : int] : ((~pp(aa(rat,bool,X0,aa(int,rat,aa(int,fun(int,rat),fract,X2),X3))) & algebr8660921524188924756oprime(int,X2,X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))))),
% 59.37/10.01    inference(ennf_transformation,[],[f16439])).
% 59.37/10.01  tff(f16439,plain,(
% 59.37/10.01    ! [X0 : fun(rat,bool),X1 : rat] : (! [X2 : int,X3 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)) => (algebr8660921524188924756oprime(int,X2,X3) => pp(aa(rat,bool,X0,aa(int,rat,aa(int,fun(int,rat),fract,X2),X3))))) => pp(aa(rat,bool,X0,X1)))),
% 59.37/10.01    inference(rectify,[],[f6845])).
% 59.37/10.01  tff(f6845,axiom,(
% 59.37/10.01    ! [X17 : fun(rat,bool),X134 : rat] : (! [X58 : int,X59 : int] : (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X59)) => (algebr8660921524188924756oprime(int,X58,X59) => pp(aa(rat,bool,X17,aa(int,rat,aa(int,fun(int,rat),fract,X58),X59))))) => pp(aa(rat,bool,X17,X134)))),
% 59.37/10.01    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6844_Rat__induct)).
% 59.37/10.01  tff(f74909,plain,(
% 59.37/10.01    spl2737_1993),
% 59.37/10.01    inference(avatar_split_clause,[],[f45186,f74907])).
% 59.37/10.01  tff(f74907,plain,(
% 59.37/10.01    spl2737_1993 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1676(X0,X1),sK1677(X0,X1)) = X1 | ~sP310(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1993])])).
% 59.37/10.01  tff(f45186,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1676(X0,X1),sK1677(X0,X1)) = X1 | ~sP310(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31409])).
% 59.37/10.01  tff(f31409,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : ((((one_one(nat) = X0 & (pp(sK1677(X0,X1)) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(sK1676(X0,X1)) | zero_zero(nat) != X0) & vEBT_Leaf(sK1676(X0,X1),sK1677(X0,X1)) = X1) | ~sP310(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1676,sK1677])],[f31407,f31408])).
% 59.37/10.01  tff(f31408,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X0 & (pp(X3) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(X2) | zero_zero(nat) != X0) & vEBT_Leaf(X2,X3) = X1) => (((one_one(nat) = X0 & (pp(sK1677(X0,X1)) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(sK1676(X0,X1)) | zero_zero(nat) != X0) & vEBT_Leaf(sK1676(X0,X1),sK1677(X0,X1)) = X1))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31407,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X0 & (pp(X3) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (pp(X2) | zero_zero(nat) != X0) & vEBT_Leaf(X2,X3) = X1) | ~sP310(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f31406])).
% 59.37/10.01  tff(f31406,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1) & (pp(X2) | zero_zero(nat) != X1) & vEBT_Leaf(X2,X3) = X0) | ~sP310(X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27557])).
% 59.37/10.01  tff(f27557,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1) & (pp(X2) | zero_zero(nat) != X1) & vEBT_Leaf(X2,X3) = X0) | ~sP310(X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP310])])).
% 59.37/10.01  tff(f74905,plain,(
% 59.37/10.01    spl2737_1992),
% 59.37/10.01    inference(avatar_split_clause,[],[f45173,f74903])).
% 59.37/10.01  tff(f74903,plain,(
% 59.37/10.01    spl2737_1992 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1669(X0,X1),sK1670(X0,X1)) = X1 | ~sP308(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1992])])).
% 59.37/10.01  tff(f45173,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1669(X0,X1),sK1670(X0,X1)) = X1 | ~sP308(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31398])).
% 59.37/10.01  tff(f31398,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP306(X0,sK1670(X0,X1)) & (pp(sK1669(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1669(X0,X1),sK1670(X0,X1))),X0)) & vEBT_Leaf(sK1669(X0,X1),sK1670(X0,X1)) = X1) | ~sP308(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1669,sK1670])],[f31396,f31397])).
% 59.37/10.01  tff(f31397,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP306(X0,X3) & (pp(X2) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) => (sP306(X0,sK1670(X0,X1)) & (pp(sK1669(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1669(X0,X1),sK1670(X0,X1))),X0)) & vEBT_Leaf(sK1669(X0,X1),sK1670(X0,X1)) = X1))),
% 59.37/10.01    introduced(choice_axiom,[])).
% 59.37/10.01  tff(f31396,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP306(X0,X3) & (pp(X2) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) | ~sP308(X0,X1))),
% 59.37/10.01    inference(rectify,[],[f31395])).
% 59.37/10.01  tff(f31395,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP306(X1,X3) & (pp(X2) | zero_zero(nat) != X1) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP308(X1,X0))),
% 59.37/10.01    inference(nnf_transformation,[],[f27554])).
% 59.37/10.01  tff(f27554,plain,(
% 59.37/10.01    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP306(X1,X3) & (pp(X2) | zero_zero(nat) != X1) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP308(X1,X0))),
% 59.37/10.01    introduced(predicate_definition_introduction,[new_symbols(naming,[sP308])])).
% 59.37/10.01  tff(f74901,plain,(
% 59.37/10.01    spl2737_1991 | ~spl2737_204 | ~spl2737_943),
% 59.37/10.01    inference(avatar_split_clause,[],[f69190,f68829,f65239,f74898])).
% 59.37/10.01  tff(f74898,plain,(
% 59.37/10.01    spl2737_1991 <=> sP153(int)),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1991])])).
% 59.37/10.01  tff(f68829,plain,(
% 59.37/10.01    spl2737_943 <=> ! [X0 : $tType] : (sP153(X0) | ~bit_semiring_bits(X0))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_943])])).
% 59.37/10.01  tff(f69190,plain,(
% 59.37/10.01    sP153(int) | (~spl2737_204 | ~spl2737_943)),
% 59.37/10.01    inference(resolution,[],[f68830,f65241])).
% 59.37/10.01  tff(f68830,plain,(
% 59.37/10.01    ( ! [X0 : $tType] : (~bit_semiring_bits(X0) | sP153(X0)) ) | ~spl2737_943),
% 59.37/10.01    inference(avatar_component_clause,[],[f68829])).
% 59.37/10.01  tff(f74896,plain,(
% 59.37/10.01    spl2737_1990),
% 59.37/10.01    inference(avatar_split_clause,[],[f45121,f74894])).
% 59.37/10.01  tff(f74894,plain,(
% 59.37/10.01    spl2737_1990 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP296(X0,sK1632(X0,X1)) | ~pp(sK1631(X0,X1)) | ~sP299(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1990])])).
% 59.37/10.01  tff(f45121,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP296(X0,sK1632(X0,X1)) | ~pp(sK1631(X0,X1)) | ~sP299(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31343])).
% 59.37/10.01  tff(f74892,plain,(
% 59.37/10.01    spl2737_1989),
% 59.37/10.01    inference(avatar_split_clause,[],[f45118,f74890])).
% 59.37/10.01  tff(f74890,plain,(
% 59.37/10.01    spl2737_1989 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1631(X0,X1),sK1632(X0,X1)) = X1 | ~sP299(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1989])])).
% 59.37/10.01  tff(f45118,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1631(X0,X1),sK1632(X0,X1)) = X1 | ~sP299(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31343])).
% 59.37/10.01  tff(f74888,plain,(
% 59.37/10.01    spl2737_1988),
% 59.37/10.01    inference(avatar_split_clause,[],[f44917,f74886])).
% 59.37/10.01  tff(f74886,plain,(
% 59.37/10.01    spl2737_1988 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1537(X0,X1),sK1538(X0,X1)) = X1 | ~sP275(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1988])])).
% 59.37/10.01  tff(f44917,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1537(X0,X1),sK1538(X0,X1)) = X1 | ~sP275(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31221])).
% 59.37/10.01  tff(f74884,plain,(
% 59.37/10.01    spl2737_1987),
% 59.37/10.01    inference(avatar_split_clause,[],[f44907,f74882])).
% 59.37/10.01  tff(f74882,plain,(
% 59.37/10.01    spl2737_1987 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1531(X0,X1),sK1532(X0,X1)) = X1 | ~sP274(X0,X1))),
% 59.37/10.01    introduced(avatar_definition,[new_symbols(naming,[spl2737_1987])])).
% 59.37/10.01  tff(f44907,plain,(
% 59.37/10.01    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1531(X0,X1),sK1532(X0,X1)) = X1 | ~sP274(X0,X1)) )),
% 59.37/10.01    inference(cnf_transformation,[],[f31212])).
% 59.37/10.01  tff(f31212,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP273(X0,sK1532(X0,X1)) & (pp(sK1531(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1531(X0,X1),sK1532(X0,X1))),X0)) & vEBT_Leaf(sK1531(X0,X1),sK1532(X0,X1)) = X1) | ~sP274(X0,X1))),
% 59.37/10.01    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1531,sK1532])],[f31210,f31211])).
% 59.37/10.01  tff(f31211,plain,(
% 59.37/10.01    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP273(X0,X3) & (pp(X2) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) => (sP273(X0,sK1532(X0,X1)) & (pp(sK1531(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(sK1531(X0,X1),sK1532(X0,X1))),X0)) & vEBT_Leaf(sK1531(X0,X1),sK1532(X0,X1)) = X1))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31210,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP273(X0,X3) & (pp(X2) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) | ~sP274(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31209])).
% 59.37/10.02  tff(f31209,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP273(X1,X3) & (pp(X2) | zero_zero(nat) != X1) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP274(X1,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27504])).
% 59.37/10.02  tff(f27504,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP273(X1,X3) & (pp(X2) | zero_zero(nat) != X1) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP274(X1,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP274])])).
% 59.37/10.02  tff(f74880,plain,(
% 59.37/10.02    spl2737_1986),
% 59.37/10.02    inference(avatar_split_clause,[],[f44844,f74878])).
% 59.37/10.02  tff(f74878,plain,(
% 59.37/10.02    spl2737_1986 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP262(X0,sK1475(X0,X1)) | ~pp(sK1474(X0,X1)) | ~sP263(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1986])])).
% 59.37/10.02  tff(f44844,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP262(X0,sK1475(X0,X1)) | ~pp(sK1474(X0,X1)) | ~sP263(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31147])).
% 59.37/10.02  tff(f74876,plain,(
% 59.37/10.02    spl2737_1985),
% 59.37/10.02    inference(avatar_split_clause,[],[f44842,f74874])).
% 59.37/10.02  tff(f74874,plain,(
% 59.37/10.02    spl2737_1985 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1474(X0,X1),sK1475(X0,X1)) = X1 | ~sP263(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1985])])).
% 59.37/10.02  tff(f44842,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1474(X0,X1),sK1475(X0,X1)) = X1 | ~sP263(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31147])).
% 59.37/10.02  tff(f74872,plain,(
% 59.37/10.02    spl2737_1984),
% 59.37/10.02    inference(avatar_split_clause,[],[f44836,f74870])).
% 59.37/10.02  tff(f74870,plain,(
% 59.37/10.02    spl2737_1984 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP259(X0,sK1470(X0,X1)) | ~pp(sK1469(X0,X1)) | ~sP260(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1984])])).
% 59.37/10.02  tff(f44836,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP259(X0,sK1470(X0,X1)) | ~pp(sK1469(X0,X1)) | ~sP260(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31138])).
% 59.37/10.02  tff(f74868,plain,(
% 59.37/10.02    spl2737_1983),
% 59.37/10.02    inference(avatar_split_clause,[],[f44833,f74866])).
% 59.37/10.02  tff(f74866,plain,(
% 59.37/10.02    spl2737_1983 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1469(X0,X1),sK1470(X0,X1)) = X1 | ~sP260(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1983])])).
% 59.37/10.02  tff(f44833,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1469(X0,X1),sK1470(X0,X1)) = X1 | ~sP260(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31138])).
% 59.37/10.02  tff(f74864,plain,(
% 59.37/10.02    spl2737_1982),
% 59.37/10.02    inference(avatar_split_clause,[],[f44755,f74862])).
% 59.37/10.02  tff(f74862,plain,(
% 59.37/10.02    spl2737_1982 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_nd(X0,X1),X2) | ~monoid_add(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1982])])).
% 59.37/10.02  tff(f44755,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_nd(X0,X1),X2) | ~monoid_add(X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f24257])).
% 59.37/10.02  tff(f24257,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_nd(X0,X1),X2) | ~monoid_add(X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f15645])).
% 59.37/10.02  tff(f15645,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (monoid_add(X1) => ! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_nd(X0,X1),X2))),
% 59.37/10.02    inference(rectify,[],[f8965])).
% 59.37/10.02  tff(f8965,axiom,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType] : (monoid_add(X0) => ! [X94 : X1] : zero_zero(X0) = aa(X1,X0,aTP_Lamp_nd(X1,X0),X94))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8964_ATP_Olambda__849)).
% 59.37/10.02  tff(f74860,plain,(
% 59.37/10.02    spl2737_1981),
% 59.37/10.02    inference(avatar_split_clause,[],[f44751,f74858])).
% 59.37/10.02  tff(f74858,plain,(
% 59.37/10.02    spl2737_1981 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_afg(X0,X1),X2) | ~zero(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1981])])).
% 59.37/10.02  tff(f44751,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_afg(X0,X1),X2) | ~zero(X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f24253])).
% 59.37/10.02  tff(f24253,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_afg(X0,X1),X2) | ~zero(X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f15641])).
% 59.37/10.02  tff(f15641,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (zero(X1) => ! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_afg(X0,X1),X2))),
% 59.37/10.02    inference(rectify,[],[f8970])).
% 59.37/10.02  tff(f8970,axiom,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (zero(X1) => ! [X94 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_afg(X0,X1),X94))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8969_ATP_Olambda__854)).
% 59.37/10.02  tff(f74856,plain,(
% 59.37/10.02    spl2737_1980 | ~spl2737_205 | ~spl2737_943),
% 59.37/10.02    inference(avatar_split_clause,[],[f69189,f68829,f65244,f74853])).
% 59.37/10.02  tff(f74853,plain,(
% 59.37/10.02    spl2737_1980 <=> sP153(nat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1980])])).
% 59.37/10.02  tff(f69189,plain,(
% 59.37/10.02    sP153(nat) | (~spl2737_205 | ~spl2737_943)),
% 59.37/10.02    inference(resolution,[],[f68830,f65246])).
% 59.37/10.02  tff(f74851,plain,(
% 59.37/10.02    spl2737_1979),
% 59.37/10.02    inference(avatar_split_clause,[],[f44630,f74849])).
% 59.37/10.02  tff(f74849,plain,(
% 59.37/10.02    spl2737_1979 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_ce(X0,X1),X2) | ~comm_monoid_add(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1979])])).
% 59.37/10.02  tff(f44630,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_ce(X0,X1),X2) | ~comm_monoid_add(X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f24165])).
% 59.37/10.02  tff(f24165,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_ce(X0,X1),X2) | ~comm_monoid_add(X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f15577])).
% 59.37/10.02  tff(f15577,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (comm_monoid_add(X1) => ! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_ce(X0,X1),X2))),
% 59.37/10.02    inference(rectify,[],[f8964])).
% 59.37/10.02  tff(f8964,axiom,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType] : (comm_monoid_add(X0) => ! [X94 : X1] : zero_zero(X0) = aa(X1,X0,aTP_Lamp_ce(X1,X0),X94))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8963_ATP_Olambda__848)).
% 59.37/10.02  tff(f74847,plain,(
% 59.37/10.02    spl2737_1978),
% 59.37/10.02    inference(avatar_split_clause,[],[f44525,f74845])).
% 59.37/10.02  tff(f74845,plain,(
% 59.37/10.02    spl2737_1978 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (one_one(X1) = aa(X0,X1,aTP_Lamp_bh(X0,X1),X2) | ~comm_monoid_mult(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1978])])).
% 59.37/10.02  tff(f44525,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (one_one(X1) = aa(X0,X1,aTP_Lamp_bh(X0,X1),X2) | ~comm_monoid_mult(X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f24100])).
% 59.37/10.02  tff(f24100,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : one_one(X1) = aa(X0,X1,aTP_Lamp_bh(X0,X1),X2) | ~comm_monoid_mult(X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f15528])).
% 59.37/10.02  tff(f15528,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (comm_monoid_mult(X1) => ! [X2 : X0] : one_one(X1) = aa(X0,X1,aTP_Lamp_bh(X0,X1),X2))),
% 59.37/10.02    inference(rectify,[],[f8972])).
% 59.37/10.02  tff(f8972,axiom,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType] : (comm_monoid_mult(X0) => ! [X94 : X1] : one_one(X0) = aa(X1,X0,aTP_Lamp_bh(X1,X0),X94))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8971_ATP_Olambda__856)).
% 59.37/10.02  tff(f74843,plain,(
% 59.37/10.02    spl2737_1977),
% 59.37/10.02    inference(avatar_split_clause,[],[f44270,f74841])).
% 59.37/10.02  tff(f74841,plain,(
% 59.37/10.02    spl2737_1977 <=> ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_agj(X0,X1),X2) | ~real_V822414075346904944vector(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1977])])).
% 59.37/10.02  tff(f44270,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType,X2 : X0] : (zero_zero(X1) = aa(X0,X1,aTP_Lamp_agj(X0,X1),X2) | ~real_V822414075346904944vector(X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23867])).
% 59.37/10.02  tff(f23867,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_agj(X0,X1),X2) | ~real_V822414075346904944vector(X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f15349])).
% 59.37/10.02  tff(f15349,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (real_V822414075346904944vector(X1) => ! [X2 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_agj(X0,X1),X2))),
% 59.37/10.02    inference(rectify,[],[f8969])).
% 59.37/10.02  tff(f8969,axiom,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (real_V822414075346904944vector(X1) => ! [X94 : X0] : zero_zero(X1) = aa(X0,X1,aTP_Lamp_agj(X0,X1),X94))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8968_ATP_Olambda__853)).
% 59.37/10.02  tff(f74839,plain,(
% 59.37/10.02    spl2737_1976),
% 59.37/10.02    inference(avatar_split_clause,[],[f43550,f74837])).
% 59.37/10.02  tff(f74837,plain,(
% 59.37/10.02    spl2737_1976 <=> ! [X0 : $tType,X1 : X0] : fChoice(X0,aa(X0,fun(X0,bool),fequal(X0),X1)) = X1),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1976])])).
% 59.37/10.02  tff(f43550,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (fChoice(X0,aa(X0,fun(X0,bool),fequal(X0),X1)) = X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14733])).
% 59.37/10.02  tff(f14733,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : X0] : fChoice(X0,aa(X0,fun(X0,bool),fequal(X0),X1)) = X1),
% 59.37/10.02    inference(rectify,[],[f4024])).
% 59.37/10.02  tff(f4024,axiom,(
% 59.37/10.02    ! [X0 : $tType,X14 : X0] : fChoice(X0,aa(X0,fun(X0,bool),fequal(X0),X14)) = X14),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4023_some__sym__eq__trivial)).
% 59.37/10.02  tff(f74835,plain,(
% 59.37/10.02    spl2737_1975),
% 59.37/10.02    inference(avatar_split_clause,[],[f43549,f74833])).
% 59.37/10.02  tff(f74833,plain,(
% 59.37/10.02    spl2737_1975 <=> ! [X0 : rat,X1 : nat] : aa(nat,rat,aTP_Lamp_mt(rat,fun(nat,rat),X0),X1) = X0),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1975])])).
% 59.37/10.02  tff(f43549,plain,(
% 59.37/10.02    ( ! [X0 : rat,X1 : nat] : (aa(nat,rat,aTP_Lamp_mt(rat,fun(nat,rat),X0),X1) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14732])).
% 59.37/10.02  tff(f14732,plain,(
% 59.37/10.02    ! [X0 : rat,X1 : nat] : aa(nat,rat,aTP_Lamp_mt(rat,fun(nat,rat),X0),X1) = X0),
% 59.37/10.02    inference(rectify,[],[f8936])).
% 59.37/10.02  tff(f8936,axiom,(
% 59.37/10.02    ! [X94 : rat,X353 : nat] : aa(nat,rat,aTP_Lamp_mt(rat,fun(nat,rat),X94),X353) = X94),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8935_ATP_Olambda__820)).
% 59.37/10.02  tff(f74831,plain,(
% 59.37/10.02    spl2737_1974),
% 59.37/10.02    inference(avatar_split_clause,[],[f43548,f74829])).
% 59.37/10.02  tff(f74829,plain,(
% 59.37/10.02    spl2737_1974 <=> ! [X0 : $tType,X1 : set(X0)] : collect(X0,aTP_Lamp_a(set(X0),fun(X0,bool),X1)) = X1),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1974])])).
% 59.37/10.02  tff(f43548,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : set(X0)] : (collect(X0,aTP_Lamp_a(set(X0),fun(X0,bool),X1)) = X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14731])).
% 59.37/10.02  tff(f14731,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : set(X0)] : collect(X0,aTP_Lamp_a(set(X0),fun(X0,bool),X1)) = X1),
% 59.37/10.02    inference(rectify,[],[f44])).
% 59.37/10.02  tff(f44,axiom,(
% 59.37/10.02    ! [X0 : $tType,X30 : set(X0)] : collect(X0,aTP_Lamp_a(set(X0),fun(X0,bool),X30)) = X30),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_Collect__mem__eq)).
% 59.37/10.02  tff(f74827,plain,(
% 59.37/10.02    spl2737_1973),
% 59.37/10.02    inference(avatar_split_clause,[],[f43354,f74825])).
% 59.37/10.02  tff(f74825,plain,(
% 59.37/10.02    spl2737_1973 <=> ! [X0 : rat] : (zero_zero(rat) = X0 | ~pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),X0))))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1973])])).
% 59.37/10.02  tff(f43354,plain,(
% 59.37/10.02    ( ! [X0 : rat] : (zero_zero(rat) = X0 | ~pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),X0)))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30619])).
% 59.37/10.02  tff(f30619,plain,(
% 59.37/10.02    ! [X0 : rat] : ((pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),X0))) | zero_zero(rat) != X0) & (zero_zero(rat) = X0 | ~pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),X0)))))),
% 59.37/10.02    inference(nnf_transformation,[],[f14626])).
% 59.37/10.02  tff(f14626,plain,(
% 59.37/10.02    ! [X0 : rat] : (pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),X0))) <=> zero_zero(rat) = X0)),
% 59.37/10.02    inference(rectify,[],[f5170])).
% 59.37/10.02  tff(f5170,axiom,(
% 59.37/10.02    ! [X50 : rat] : (pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),X50))) <=> zero_zero(rat) = X50)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5169_vanishes__const)).
% 59.37/10.02  tff(f74823,plain,(
% 59.37/10.02    spl2737_1972),
% 59.37/10.02    inference(avatar_split_clause,[],[f43166,f74821])).
% 59.37/10.02  tff(f74821,plain,(
% 59.37/10.02    spl2737_1972 <=> ! [X0 : $tType] : (zero_zero(X0) = suminf(X0,aTP_Lamp_bg(nat,X0)) | ~topological_t2_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1972])])).
% 59.37/10.02  tff(f43166,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = suminf(X0,aTP_Lamp_bg(nat,X0)) | ~topological_t2_space(X0) | ~comm_monoid_add(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23603])).
% 59.37/10.02  tff(f23603,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = suminf(X0,aTP_Lamp_bg(nat,X0)) | ~topological_t2_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.02    inference(flattening,[],[f23602])).
% 59.37/10.02  tff(f23602,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = suminf(X0,aTP_Lamp_bg(nat,X0)) | (~topological_t2_space(X0) | ~comm_monoid_add(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f3617])).
% 59.37/10.02  tff(f3617,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((topological_t2_space(X0) & comm_monoid_add(X0)) => zero_zero(X0) = suminf(X0,aTP_Lamp_bg(nat,X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3616_suminf__zero)).
% 59.37/10.02  tff(f74819,plain,(
% 59.37/10.02    spl2737_1971),
% 59.37/10.02    inference(avatar_split_clause,[],[f43015,f74817])).
% 59.37/10.02  tff(f74817,plain,(
% 59.37/10.02    spl2737_1971 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = power_int(X0,X1,zero_zero(int)) | ~power(X0) | ~inverse(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1971])])).
% 59.37/10.02  tff(f43015,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = power_int(X0,X1,zero_zero(int)) | ~power(X0) | ~inverse(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23395])).
% 59.37/10.02  tff(f23395,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = power_int(X0,X1,zero_zero(int)) | ~power(X0) | ~inverse(X0))),
% 59.37/10.02    inference(flattening,[],[f23394])).
% 59.37/10.02  tff(f23394,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = power_int(X0,X1,zero_zero(int)) | (~power(X0) | ~inverse(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14433])).
% 59.37/10.02  tff(f14433,plain,(
% 59.37/10.02    ! [X0 : $tType] : ((power(X0) & inverse(X0)) => ! [X1 : X0] : one_one(X0) = power_int(X0,X1,zero_zero(int)))),
% 59.37/10.02    inference(rectify,[],[f2069])).
% 59.37/10.02  tff(f2069,axiom,(
% 59.37/10.02    ! [X1 : $tType] : ((power(X1) & inverse(X1)) => ! [X14 : X1] : power_int(X1,X14,zero_zero(int)) = one_one(X1))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2068_power__int__0__right)).
% 59.37/10.02  tff(f74815,plain,(
% 59.37/10.02    spl2737_1970),
% 59.37/10.02    inference(avatar_split_clause,[],[f42870,f74813])).
% 59.37/10.02  tff(f74813,plain,(
% 59.37/10.02    spl2737_1970 <=> ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_cb(X0,fun(nat,X0),X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1970])])).
% 59.37/10.02  tff(f42870,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_cb(X0,fun(nat,X0),X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23149])).
% 59.37/10.02  tff(f23149,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_cb(X0,fun(nat,X0),X1)) | ~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23148])).
% 59.37/10.02  tff(f23148,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_cb(X0,fun(nat,X0),X1)) | (~real_V3459762299906320749_field(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14311])).
% 59.37/10.02  tff(f14311,plain,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(X0,aTP_Lamp_cb(X0,fun(nat,X0),X1)))),
% 59.37/10.02    inference(rectify,[],[f3692])).
% 59.37/10.02  tff(f3692,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V3459762299906320749_field(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : summable(X0,aTP_Lamp_cb(X0,fun(nat,X0),X14)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3691_summable__exp)).
% 59.37/10.02  tff(f74811,plain,(
% 59.37/10.02    spl2737_1969 | ~spl2737_203 | ~spl2737_943),
% 59.37/10.02    inference(avatar_split_clause,[],[f69188,f68829,f65234,f74808])).
% 59.37/10.02  tff(f74808,plain,(
% 59.37/10.02    spl2737_1969 <=> sP153(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1969])])).
% 59.37/10.02  tff(f69188,plain,(
% 59.37/10.02    sP153(code_integer) | (~spl2737_203 | ~spl2737_943)),
% 59.37/10.02    inference(resolution,[],[f68830,f65236])).
% 59.37/10.02  tff(f74806,plain,(
% 59.37/10.02    spl2737_1968),
% 59.37/10.02    inference(avatar_split_clause,[],[f42821,f74804])).
% 59.37/10.02  tff(f74804,plain,(
% 59.37/10.02    spl2737_1968 <=> ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_gu(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1968])])).
% 59.37/10.02  tff(f42821,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (summable(real,aTP_Lamp_gu(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23051])).
% 59.37/10.02  tff(f23051,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_gu(X0,fun(nat,real),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23050])).
% 59.37/10.02  tff(f23050,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : summable(real,aTP_Lamp_gu(X0,fun(nat,real),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14266])).
% 59.37/10.02  tff(f14266,plain,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(real,aTP_Lamp_gu(X0,fun(nat,real),X1)))),
% 59.37/10.02    inference(rectify,[],[f4003])).
% 59.37/10.02  tff(f4003,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : summable(real,aTP_Lamp_gu(X0,fun(nat,real),X14)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4002_summable__norm__exp)).
% 59.37/10.02  tff(f74802,plain,(
% 59.37/10.02    spl2737_1967),
% 59.37/10.02    inference(avatar_split_clause,[],[f42820,f74800])).
% 59.37/10.02  tff(f74800,plain,(
% 59.37/10.02    spl2737_1967 <=> ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1967])])).
% 59.37/10.02  tff(f42820,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23049])).
% 59.37/10.02  tff(f23049,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23048])).
% 59.37/10.02  tff(f23048,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : summable(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14265])).
% 59.37/10.02  tff(f14265,plain,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : summable(X0,aTP_Lamp_gt(X0,fun(nat,X0),X1)))),
% 59.37/10.02    inference(rectify,[],[f3992])).
% 59.37/10.02  tff(f3992,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : summable(X0,aTP_Lamp_gt(X0,fun(nat,X0),X14)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3991_summable__exp__generic)).
% 59.37/10.02  tff(f74798,plain,(
% 59.37/10.02    spl2737_1966),
% 59.37/10.02    inference(avatar_split_clause,[],[f42816,f74796])).
% 59.37/10.02  tff(f74796,plain,(
% 59.37/10.02    spl2737_1966 <=> ! [X0 : $tType] : (zero_zero(X0) = sin(X0,real_Vector_of_real(X0,pi)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1966])])).
% 59.37/10.02  tff(f42816,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = sin(X0,real_Vector_of_real(X0,pi)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23041])).
% 59.37/10.02  tff(f23041,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = sin(X0,real_Vector_of_real(X0,pi)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23040])).
% 59.37/10.02  tff(f23040,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = sin(X0,real_Vector_of_real(X0,pi)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f2736])).
% 59.37/10.02  tff(f2736,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => zero_zero(X0) = sin(X0,real_Vector_of_real(X0,pi)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2735_sin__of__real__pi)).
% 59.37/10.02  tff(f74794,plain,(
% 59.37/10.02    spl2737_1965),
% 59.37/10.02    inference(avatar_split_clause,[],[f41912,f74792])).
% 59.37/10.02  tff(f74792,plain,(
% 59.37/10.02    spl2737_1965 <=> ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1965])])).
% 59.37/10.02  tff(f41912,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f22332])).
% 59.37/10.02  tff(f22332,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less(X0),X1)) | ~linorder(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13749])).
% 59.37/10.02  tff(f13749,plain,(
% 59.37/10.02    ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X1) => sorted_wrt(X0,ord_less_eq(X0),X1)))),
% 59.37/10.02    inference(rectify,[],[f5251])).
% 59.37/10.02  tff(f5251,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (linorder(X0) => ! [X123 : list(X0)] : (sorted_wrt(X0,ord_less(X0),X123) => sorted_wrt(X0,ord_less_eq(X0),X123)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5250_strict__sorted__imp__sorted)).
% 59.37/10.02  tff(f74789,plain,(
% 59.37/10.02    spl2737_1964),
% 59.37/10.02    inference(avatar_split_clause,[],[f41490,f74787])).
% 59.37/10.02  tff(f74787,plain,(
% 59.37/10.02    spl2737_1964 <=> ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1964])])).
% 59.37/10.02  tff(f41490,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21942])).
% 59.37/10.02  tff(f21942,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)) | ~semiring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f330])).
% 59.37/10.02  tff(f330,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_1(X0) => one_one(X0) = aa(nat,X0,semiring_1_of_nat(X0),one_one(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_329_of__nat__1)).
% 59.37/10.02  tff(f74785,plain,(
% 59.37/10.02    spl2737_1963),
% 59.37/10.02    inference(avatar_split_clause,[],[f41301,f74783])).
% 59.37/10.02  tff(f74783,plain,(
% 59.37/10.02    spl2737_1963 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aTP_Lamp_ac(X0,X0),X1) | ~mult_zero(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1963])])).
% 59.37/10.02  tff(f41301,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = aa(X0,X0,aTP_Lamp_ac(X0,X0),X1) | ~mult_zero(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21802])).
% 59.37/10.02  tff(f21802,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aTP_Lamp_ac(X0,X0),X1) | ~mult_zero(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13290])).
% 59.37/10.02  tff(f13290,plain,(
% 59.37/10.02    ! [X0 : $tType] : (mult_zero(X0) => ! [X1 : X0] : zero_zero(X0) = aa(X0,X0,aTP_Lamp_ac(X0,X0),X1))),
% 59.37/10.02    inference(rectify,[],[f8968])).
% 59.37/10.02  tff(f8968,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (mult_zero(X0) => ! [X94 : X0] : zero_zero(X0) = aa(X0,X0,aTP_Lamp_ac(X0,X0),X94))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8967_ATP_Olambda__852)).
% 59.37/10.02  tff(f74781,plain,(
% 59.37/10.02    spl2737_1962),
% 59.37/10.02    inference(avatar_split_clause,[],[f41165,f74779])).
% 59.37/10.02  tff(f74779,plain,(
% 59.37/10.02    spl2737_1962 <=> ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aTP_Lamp_zd(X0,fun(X0,X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1962])])).
% 59.37/10.02  tff(f41165,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : set(X0),X1 : X0] : (inj_on(X0,X0,aTP_Lamp_zd(X0,fun(X0,X0),X1),X2) | ~cancel_semigroup_add(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21672])).
% 59.37/10.02  tff(f21672,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aTP_Lamp_zd(X0,fun(X0,X0),X1),X2) | ~cancel_semigroup_add(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13201])).
% 59.37/10.02  tff(f13201,plain,(
% 59.37/10.02    ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X1 : X0,X2 : set(X0)] : inj_on(X0,X0,aTP_Lamp_zd(X0,fun(X0,X0),X1),X2))),
% 59.37/10.02    inference(rectify,[],[f6162])).
% 59.37/10.02  tff(f6162,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (cancel_semigroup_add(X0) => ! [X7 : X0,X30 : set(X0)] : inj_on(X0,X0,aTP_Lamp_zd(X0,fun(X0,X0),X7),X30))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6161_inj__on__add_H)).
% 59.37/10.02  tff(f74777,plain,(
% 59.37/10.02    spl2737_1961),
% 59.37/10.02    inference(avatar_split_clause,[],[f40885,f74775])).
% 59.37/10.02  tff(f74775,plain,(
% 59.37/10.02    spl2737_1961 <=> ! [X0 : $tType] : (semila1105856199041335345_order(X0,inf_inf(X0),top_top(X0),ord_less_eq(X0),ord_less(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1961])])).
% 59.37/10.02  tff(f40885,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (semila1105856199041335345_order(X0,inf_inf(X0),top_top(X0),ord_less_eq(X0),ord_less(X0)) | ~bounde4346867609351753570nf_top(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21401])).
% 59.37/10.02  tff(f21401,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semila1105856199041335345_order(X0,inf_inf(X0),top_top(X0),ord_less_eq(X0),ord_less(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5630])).
% 59.37/10.02  tff(f5630,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => semila1105856199041335345_order(X0,inf_inf(X0),top_top(X0),ord_less_eq(X0),ord_less(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5629_inf__top_Osemilattice__neutr__order__axioms)).
% 59.37/10.02  tff(f74773,plain,(
% 59.37/10.02    spl2737_1960),
% 59.37/10.02    inference(avatar_split_clause,[],[f40716,f74771])).
% 59.37/10.02  tff(f74771,plain,(
% 59.37/10.02    spl2737_1960 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),zero_zero(int)) | ~ring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1960])])).
% 59.37/10.02  tff(f40716,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),zero_zero(int)) | ~ring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21248])).
% 59.37/10.02  tff(f21248,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),zero_zero(int)) | ~ring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f327])).
% 59.37/10.02  tff(f327,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_1(X0) => zero_zero(X0) = aa(int,X0,ring_1_of_int(X0),zero_zero(int)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_of__int__0)).
% 59.37/10.02  tff(f74769,plain,(
% 59.37/10.02    spl2737_1959),
% 59.37/10.02    inference(avatar_split_clause,[],[f40715,f74767])).
% 59.37/10.02  tff(f74767,plain,(
% 59.37/10.02    spl2737_1959 <=> ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1959])])).
% 59.37/10.02  tff(f40715,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21247])).
% 59.37/10.02  tff(f21247,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)) | ~ring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f309])).
% 59.37/10.02  tff(f309,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_1(X0) => one_one(X0) = aa(int,X0,ring_1_of_int(X0),one_one(int)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_of__int__1)).
% 59.37/10.02  tff(f74765,plain,(
% 59.37/10.02    spl2737_1958 | ~spl2737_202 | ~spl2737_943),
% 59.37/10.02    inference(avatar_split_clause,[],[f69187,f68829,f65229,f74762])).
% 59.37/10.02  tff(f74762,plain,(
% 59.37/10.02    spl2737_1958 <=> sP153(code_natural)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1958])])).
% 59.37/10.02  tff(f69187,plain,(
% 59.37/10.02    sP153(code_natural) | (~spl2737_202 | ~spl2737_943)),
% 59.37/10.02    inference(resolution,[],[f68830,f65231])).
% 59.37/10.02  tff(f74760,plain,(
% 59.37/10.02    spl2737_1957),
% 59.37/10.02    inference(avatar_split_clause,[],[f40535,f74758])).
% 59.37/10.02  tff(f74758,plain,(
% 59.37/10.02    spl2737_1957 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~group_add(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1957])])).
% 59.37/10.02  tff(f40535,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~group_add(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21092])).
% 59.37/10.02  tff(f21092,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)) | ~group_add(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f302])).
% 59.37/10.02  tff(f302,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (group_add(X0) => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_add_Oinverse__neutral)).
% 59.37/10.02  tff(f74756,plain,(
% 59.37/10.02    spl2737_1956),
% 59.37/10.02    inference(avatar_split_clause,[],[f40421,f74754])).
% 59.37/10.02  tff(f74754,plain,(
% 59.37/10.02    spl2737_1956 <=> ! [X0 : $tType] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1956])])).
% 59.37/10.02  tff(f40421,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21013])).
% 59.37/10.02  tff(f21013,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f363])).
% 59.37/10.02  tff(f363,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_char_0(X0) => zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_zero__neq__neg__one)).
% 59.37/10.02  tff(f74752,plain,(
% 59.37/10.02    spl2737_1955),
% 59.37/10.02    inference(avatar_split_clause,[],[f40420,f74750])).
% 59.37/10.02  tff(f74750,plain,(
% 59.37/10.02    spl2737_1955 <=> ! [X0 : $tType] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1955])])).
% 59.37/10.02  tff(f40420,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21012])).
% 59.37/10.02  tff(f21012,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)) | ~ring_char_0(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f356])).
% 59.37/10.02  tff(f356,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_char_0(X0) => one_one(X0) != aa(X0,X0,uminus_uminus(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_355_one__neq__neg__one)).
% 59.37/10.02  tff(f74748,plain,(
% 59.37/10.02    spl2737_1954),
% 59.37/10.02    inference(avatar_split_clause,[],[f40374,f74746])).
% 59.37/10.02  tff(f74746,plain,(
% 59.37/10.02    spl2737_1954 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1954])])).
% 59.37/10.02  tff(f40374,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~idom_abs_sgn(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20977])).
% 59.37/10.02  tff(f20977,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f772])).
% 59.37/10.02  tff(f772,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (idom_abs_sgn(X0) => zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_771_abs__0)).
% 59.37/10.02  tff(f74744,plain,(
% 59.37/10.02    spl2737_1953),
% 59.37/10.02    inference(avatar_split_clause,[],[f40373,f74742])).
% 59.37/10.02  tff(f74742,plain,(
% 59.37/10.02    spl2737_1953 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1953])])).
% 59.37/10.02  tff(f40373,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~idom_abs_sgn(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20976])).
% 59.37/10.02  tff(f20976,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1789])).
% 59.37/10.02  tff(f1789,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (idom_abs_sgn(X0) => zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1788_sgn__0)).
% 59.37/10.02  tff(f74740,plain,(
% 59.37/10.02    spl2737_1952),
% 59.37/10.02    inference(avatar_split_clause,[],[f40372,f74738])).
% 59.37/10.02  tff(f74738,plain,(
% 59.37/10.02    spl2737_1952 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1952])])).
% 59.37/10.02  tff(f40372,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~idom_abs_sgn(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20975])).
% 59.37/10.02  tff(f20975,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f773])).
% 59.37/10.02  tff(f773,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (idom_abs_sgn(X0) => one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_772_abs__1)).
% 59.37/10.02  tff(f74736,plain,(
% 59.37/10.02    spl2737_1951),
% 59.37/10.02    inference(avatar_split_clause,[],[f40371,f74734])).
% 59.37/10.02  tff(f74734,plain,(
% 59.37/10.02    spl2737_1951 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1951])])).
% 59.37/10.02  tff(f40371,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~idom_abs_sgn(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20974])).
% 59.37/10.02  tff(f20974,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~idom_abs_sgn(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1790])).
% 59.37/10.02  tff(f1790,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (idom_abs_sgn(X0) => one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1789_sgn__1)).
% 59.37/10.02  tff(f74732,plain,(
% 59.37/10.02    spl2737_1950),
% 59.37/10.02    inference(avatar_split_clause,[],[f39973,f74730])).
% 59.37/10.02  tff(f74730,plain,(
% 59.37/10.02    spl2737_1950 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~linordered_idom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1950])])).
% 59.37/10.02  tff(f39973,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~linordered_idom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20768])).
% 59.37/10.02  tff(f20768,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)) | ~linordered_idom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f797])).
% 59.37/10.02  tff(f797,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (linordered_idom(X0) => one_one(X0) = aa(X0,X0,abs_abs(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_796_abs__one)).
% 59.37/10.02  tff(f74728,plain,(
% 59.37/10.02    spl2737_1949),
% 59.37/10.02    inference(avatar_split_clause,[],[f39490,f74726])).
% 59.37/10.02  tff(f74726,plain,(
% 59.37/10.02    spl2737_1949 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~bit_semiring_bits(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1949])])).
% 59.37/10.02  tff(f39490,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~bit_semiring_bits(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20447])).
% 59.37/10.02  tff(f20447,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~bit_semiring_bits(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12205])).
% 59.37/10.02  tff(f12205,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2))),
% 59.37/10.02    inference(rectify,[],[f1803])).
% 59.37/10.02  tff(f1803,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0,X49 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X7,X49),X49))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1802_bits__mod__div__trivial)).
% 59.37/10.02  tff(f74724,plain,(
% 59.37/10.02    spl2737_1948),
% 59.37/10.02    inference(avatar_split_clause,[],[f39419,f74722])).
% 59.37/10.02  tff(f74722,plain,(
% 59.37/10.02    spl2737_1948 <=> ! [X0 : $tType] : (top_top(X0) = aa(X0,X0,uminus_uminus(X0),bot_bot(X0)) | ~boolea8198339166811842893lgebra(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1948])])).
% 59.37/10.02  tff(f39419,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (top_top(X0) = aa(X0,X0,uminus_uminus(X0),bot_bot(X0)) | ~boolea8198339166811842893lgebra(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20388])).
% 59.37/10.02  tff(f20388,plain,(
% 59.37/10.02    ! [X0 : $tType] : (top_top(X0) = aa(X0,X0,uminus_uminus(X0),bot_bot(X0)) | ~boolea8198339166811842893lgebra(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5588])).
% 59.37/10.02  tff(f5588,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (boolea8198339166811842893lgebra(X0) => top_top(X0) = aa(X0,X0,uminus_uminus(X0),bot_bot(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5587_boolean__algebra_Ocompl__zero)).
% 59.37/10.02  tff(f74720,plain,(
% 59.37/10.02    spl2737_1947 | ~spl2737_183 | ~spl2737_942),
% 59.37/10.02    inference(avatar_split_clause,[],[f69186,f68825,f65134,f74717])).
% 59.37/10.02  tff(f74717,plain,(
% 59.37/10.02    spl2737_1947 <=> sP150(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1947])])).
% 59.37/10.02  tff(f65134,plain,(
% 59.37/10.02    spl2737_183 <=> linord4710134922213307826strict(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_183])])).
% 59.37/10.02  tff(f68825,plain,(
% 59.37/10.02    spl2737_942 <=> ! [X0 : $tType] : (sP150(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_942])])).
% 59.37/10.02  tff(f69186,plain,(
% 59.37/10.02    sP150(int) | (~spl2737_183 | ~spl2737_942)),
% 59.37/10.02    inference(resolution,[],[f68826,f65136])).
% 59.37/10.02  tff(f65136,plain,(
% 59.37/10.02    linord4710134922213307826strict(int) | ~spl2737_183),
% 59.37/10.02    inference(avatar_component_clause,[],[f65134])).
% 59.37/10.02  tff(f68826,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP150(X0)) ) | ~spl2737_942),
% 59.37/10.02    inference(avatar_component_clause,[],[f68825])).
% 59.37/10.02  tff(f74715,plain,(
% 59.37/10.02    spl2737_1946),
% 59.37/10.02    inference(avatar_split_clause,[],[f39418,f74713])).
% 59.37/10.02  tff(f74713,plain,(
% 59.37/10.02    spl2737_1946 <=> ! [X0 : $tType] : (bot_bot(X0) = aa(X0,X0,uminus_uminus(X0),top_top(X0)) | ~boolea8198339166811842893lgebra(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1946])])).
% 59.37/10.02  tff(f39418,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (bot_bot(X0) = aa(X0,X0,uminus_uminus(X0),top_top(X0)) | ~boolea8198339166811842893lgebra(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20387])).
% 59.37/10.02  tff(f20387,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bot_bot(X0) = aa(X0,X0,uminus_uminus(X0),top_top(X0)) | ~boolea8198339166811842893lgebra(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5589])).
% 59.37/10.02  tff(f5589,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (boolea8198339166811842893lgebra(X0) => bot_bot(X0) = aa(X0,X0,uminus_uminus(X0),top_top(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5588_boolean__algebra_Ocompl__one)).
% 59.37/10.02  tff(f74711,plain,(
% 59.37/10.02    spl2737_1945),
% 59.37/10.02    inference(avatar_split_clause,[],[f39382,f74709])).
% 59.37/10.02  tff(f74709,plain,(
% 59.37/10.02    spl2737_1945 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~ordere166539214618696060dd_abs(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1945])])).
% 59.37/10.02  tff(f39382,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~ordere166539214618696060dd_abs(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20357])).
% 59.37/10.02  tff(f20357,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)) | ~ordere166539214618696060dd_abs(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f771])).
% 59.37/10.02  tff(f771,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ordere166539214618696060dd_abs(X0) => zero_zero(X0) = aa(X0,X0,abs_abs(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_770_abs__zero)).
% 59.37/10.02  tff(f74707,plain,(
% 59.37/10.02    spl2737_1944),
% 59.37/10.02    inference(avatar_split_clause,[],[f39355,f74705])).
% 59.37/10.02  tff(f74705,plain,(
% 59.37/10.02    spl2737_1944 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1944])])).
% 59.37/10.02  tff(f39355,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20331])).
% 59.37/10.02  tff(f20331,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2) | ~euclid4440199948858584721cancel(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12102])).
% 59.37/10.02  tff(f12102,plain,(
% 59.37/10.02    ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X1 : X0,X2 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X1,X2),X2))),
% 59.37/10.02    inference(rectify,[],[f1802])).
% 59.37/10.02  tff(f1802,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (euclid4440199948858584721cancel(X0) => ! [X7 : X0,X49 : X0] : zero_zero(X0) = divide_divide(X0,modulo_modulo(X0,X7,X49),X49))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1801_mod__div__trivial)).
% 59.37/10.02  tff(f74702,plain,(
% 59.37/10.02    spl2737_1943),
% 59.37/10.02    inference(avatar_split_clause,[],[f39327,f74700])).
% 59.37/10.02  tff(f39327,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) | ~euclid5411537665997757685th_nat(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20305])).
% 59.37/10.02  tff(f20305,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7015])).
% 59.37/10.02  tff(f7015,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => one_one(nat) = aa(X0,nat,euclid6346220572633701492n_size(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7014_euclidean__size__1)).
% 59.37/10.02  tff(f74698,plain,(
% 59.37/10.02    spl2737_1942),
% 59.37/10.02    inference(avatar_split_clause,[],[f38819,f74696])).
% 59.37/10.02  tff(f74696,plain,(
% 59.37/10.02    spl2737_1942 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1942])])).
% 59.37/10.02  tff(f38819,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~division_ring(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20045])).
% 59.37/10.02  tff(f20045,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~division_ring(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f447])).
% 59.37/10.02  tff(f447,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (division_ring(X0) => zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_446_inverse__zero)).
% 59.37/10.02  tff(f74694,plain,(
% 59.37/10.02    spl2737_1941),
% 59.37/10.02    inference(avatar_split_clause,[],[f38818,f74692])).
% 59.37/10.02  tff(f74692,plain,(
% 59.37/10.02    spl2737_1941 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1941])])).
% 59.37/10.02  tff(f38818,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~division_ring(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20044])).
% 59.37/10.02  tff(f20044,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)) | ~division_ring(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f445])).
% 59.37/10.02  tff(f445,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (division_ring(X0) => one_one(X0) = aa(X0,X0,inverse_inverse(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_444_inverse__1)).
% 59.37/10.02  tff(f74690,plain,(
% 59.37/10.02    spl2737_1940),
% 59.37/10.02    inference(avatar_split_clause,[],[f38722,f74688])).
% 59.37/10.02  tff(f74688,plain,(
% 59.37/10.02    spl2737_1940 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),zero_zero(rat)) | ~field_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1940])])).
% 59.37/10.02  tff(f38722,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),zero_zero(rat)) | ~field_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19953])).
% 59.37/10.02  tff(f19953,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),zero_zero(rat)) | ~field_char_0(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f6719])).
% 59.37/10.02  tff(f6719,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (field_char_0(X0) => zero_zero(X0) = aa(rat,X0,field_char_0_of_rat(X0),zero_zero(rat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6718_of__rat__0)).
% 59.37/10.02  tff(f74686,plain,(
% 59.37/10.02    spl2737_1939),
% 59.37/10.02    inference(avatar_split_clause,[],[f38721,f74684])).
% 59.37/10.02  tff(f74684,plain,(
% 59.37/10.02    spl2737_1939 <=> ! [X0 : $tType] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)) | ~field_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1939])])).
% 59.37/10.02  tff(f38721,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)) | ~field_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19952])).
% 59.37/10.02  tff(f19952,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)) | ~field_char_0(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f6720])).
% 59.37/10.02  tff(f6720,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (field_char_0(X0) => one_one(X0) = aa(rat,X0,field_char_0_of_rat(X0),one_one(rat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6719_of__rat__1)).
% 59.37/10.02  tff(f74682,plain,(
% 59.37/10.02    spl2737_1938),
% 59.37/10.02    inference(avatar_split_clause,[],[f38676,f74680])).
% 59.37/10.02  tff(f74680,plain,(
% 59.37/10.02    spl2737_1938 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1938])])).
% 59.37/10.02  tff(f38676,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28861])).
% 59.37/10.02  tff(f74678,plain,(
% 59.37/10.02    spl2737_1937),
% 59.37/10.02    inference(avatar_split_clause,[],[f38654,f74676])).
% 59.37/10.02  tff(f74676,plain,(
% 59.37/10.02    spl2737_1937 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1937])])).
% 59.37/10.02  tff(f38654,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19902])).
% 59.37/10.02  tff(f19902,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)) | ~field(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f477])).
% 59.37/10.02  tff(f477,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (field(X0) => zero_zero(X0) = aa(X0,X0,inverse_inverse(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_476_field__class_Ofield__inverse__zero)).
% 59.37/10.02  tff(f74674,plain,(
% 59.37/10.02    spl2737_1936 | ~spl2737_181 | ~spl2737_942),
% 59.37/10.02    inference(avatar_split_clause,[],[f69185,f68825,f65124,f74671])).
% 59.37/10.02  tff(f74671,plain,(
% 59.37/10.02    spl2737_1936 <=> sP150(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1936])])).
% 59.37/10.02  tff(f65124,plain,(
% 59.37/10.02    spl2737_181 <=> linord4710134922213307826strict(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_181])])).
% 59.37/10.02  tff(f69185,plain,(
% 59.37/10.02    sP150(rat) | (~spl2737_181 | ~spl2737_942)),
% 59.37/10.02    inference(resolution,[],[f68826,f65126])).
% 59.37/10.02  tff(f65126,plain,(
% 59.37/10.02    linord4710134922213307826strict(rat) | ~spl2737_181),
% 59.37/10.02    inference(avatar_component_clause,[],[f65124])).
% 59.37/10.02  tff(f74669,plain,(
% 59.37/10.02    spl2737_1935),
% 59.37/10.02    inference(avatar_split_clause,[],[f38432,f74667])).
% 59.37/10.02  tff(f74667,plain,(
% 59.37/10.02    spl2737_1935 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(real) != real_V7770717601297561774m_norm(X0,X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1935])])).
% 59.37/10.02  tff(f38432,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(real) != real_V7770717601297561774m_norm(X0,X1) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28773])).
% 59.37/10.02  tff(f28773,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(real) = real_V7770717601297561774m_norm(X0,X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(real) != real_V7770717601297561774m_norm(X0,X1))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f19697])).
% 59.37/10.02  tff(f19697,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,X1) <=> zero_zero(X0) = X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11567])).
% 59.37/10.02  tff(f11567,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,X1) <=> zero_zero(X0) = X1))),
% 59.37/10.02    inference(rectify,[],[f2060])).
% 59.37/10.02  tff(f2060,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X14 : X0] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,X14) <=> zero_zero(X0) = X14))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2059_norm__eq__zero)).
% 59.37/10.02  tff(f74665,plain,(
% 59.37/10.02    spl2737_1934),
% 59.37/10.02    inference(avatar_split_clause,[],[f38404,f74663])).
% 59.37/10.02  tff(f74663,plain,(
% 59.37/10.02    spl2737_1934 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1934])])).
% 59.37/10.02  tff(f38404,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19680])).
% 59.37/10.02  tff(f19680,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1961])).
% 59.37/10.02  tff(f1961,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => zero_zero(X0) = aa(X0,X0,sgn_sgn(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1960_sgn__zero)).
% 59.37/10.02  tff(f74661,plain,(
% 59.37/10.02    spl2737_1933),
% 59.37/10.02    inference(avatar_split_clause,[],[f37835,f74659])).
% 59.37/10.02  tff(f74659,plain,(
% 59.37/10.02    spl2737_1933 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~linordered_field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1933])])).
% 59.37/10.02  tff(f37835,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 = X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~linordered_field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28545])).
% 59.37/10.02  tff(f74657,plain,(
% 59.37/10.02    spl2737_1932),
% 59.37/10.02    inference(avatar_split_clause,[],[f37484,f74655])).
% 59.37/10.02  tff(f74655,plain,(
% 59.37/10.02    spl2737_1932 <=> ! [X0 : $tType,X1 : int] : (archimedean_ceiling(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1932])])).
% 59.37/10.02  tff(f37484,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : int] : (archimedean_ceiling(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19178])).
% 59.37/10.02  tff(f19178,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : int] : archimedean_ceiling(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11145])).
% 59.37/10.02  tff(f11145,plain,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : int] : archimedean_ceiling(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1)),
% 59.37/10.02    inference(rectify,[],[f312])).
% 59.37/10.02  tff(f312,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X60 : int] : archimedean_ceiling(X0,aa(int,X0,ring_1_of_int(X0),X60)) = X60)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_ceiling__of__int)).
% 59.37/10.02  tff(f74653,plain,(
% 59.37/10.02    spl2737_1931),
% 59.37/10.02    inference(avatar_split_clause,[],[f37483,f74651])).
% 59.37/10.02  tff(f74651,plain,(
% 59.37/10.02    spl2737_1931 <=> ! [X0 : $tType,X1 : int] : (archimedean_round(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1931])])).
% 59.37/10.02  tff(f37483,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : int] : (archimedean_round(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19177])).
% 59.37/10.02  tff(f19177,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : int] : archimedean_round(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1 | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11144])).
% 59.37/10.02  tff(f11144,plain,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : int] : archimedean_round(X0,aa(int,X0,ring_1_of_int(X0),X1)) = X1)),
% 59.37/10.02    inference(rectify,[],[f2041])).
% 59.37/10.02  tff(f2041,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X8 : int] : archimedean_round(X0,aa(int,X0,ring_1_of_int(X0),X8)) = X8)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2040_round__of__int)).
% 59.37/10.02  tff(f74649,plain,(
% 59.37/10.02    spl2737_1930),
% 59.37/10.02    inference(avatar_split_clause,[],[f37481,f74647])).
% 59.37/10.02  tff(f74647,plain,(
% 59.37/10.02    spl2737_1930 <=> ! [X0 : $tType] : (zero_zero(int) = aa(X0,int,archim6421214686448440834_floor(X0),zero_zero(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1930])])).
% 59.37/10.02  tff(f37481,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(int) = aa(X0,int,archim6421214686448440834_floor(X0),zero_zero(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19175])).
% 59.37/10.02  tff(f19175,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(int) = aa(X0,int,archim6421214686448440834_floor(X0),zero_zero(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1811])).
% 59.37/10.02  tff(f1811,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => zero_zero(int) = aa(X0,int,archim6421214686448440834_floor(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1810_floor__zero)).
% 59.37/10.02  tff(f74645,plain,(
% 59.37/10.02    spl2737_1929),
% 59.37/10.02    inference(avatar_split_clause,[],[f37480,f74643])).
% 59.37/10.02  tff(f74643,plain,(
% 59.37/10.02    spl2737_1929 <=> ! [X0 : $tType] : (one_one(int) = aa(X0,int,archim6421214686448440834_floor(X0),one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1929])])).
% 59.37/10.02  tff(f37480,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(int) = aa(X0,int,archim6421214686448440834_floor(X0),one_one(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19174])).
% 59.37/10.02  tff(f19174,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(int) = aa(X0,int,archim6421214686448440834_floor(X0),one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1812])).
% 59.37/10.02  tff(f1812,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => one_one(int) = aa(X0,int,archim6421214686448440834_floor(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1811_floor__one)).
% 59.37/10.02  tff(f74641,plain,(
% 59.37/10.02    spl2737_1928),
% 59.37/10.02    inference(avatar_split_clause,[],[f37232,f74639])).
% 59.37/10.02  tff(f74639,plain,(
% 59.37/10.02    spl2737_1928 <=> ! [X0 : $tType] : (bounde8507323023520639062attice(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1928])])).
% 59.37/10.02  tff(f37232,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (bounde8507323023520639062attice(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18997])).
% 59.37/10.02  tff(f18997,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bounde8507323023520639062attice(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7695])).
% 59.37/10.02  tff(f7695,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_gcd(X0) => bounde8507323023520639062attice(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7694_gcd_Obounded__quasi__semilattice__axioms)).
% 59.37/10.02  tff(f74637,plain,(
% 59.37/10.02    spl2737_1927),
% 59.37/10.02    inference(avatar_split_clause,[],[f37231,f74635])).
% 59.37/10.02  tff(f74635,plain,(
% 59.37/10.02    spl2737_1927 <=> ! [X0 : $tType] : (bounde8507323023520639062attice(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1927])])).
% 59.37/10.02  tff(f37231,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (bounde8507323023520639062attice(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18996])).
% 59.37/10.02  tff(f18996,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bounde8507323023520639062attice(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7694])).
% 59.37/10.02  tff(f7694,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_gcd(X0) => bounde8507323023520639062attice(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7693_lcm_Obounded__quasi__semilattice__axioms)).
% 59.37/10.02  tff(f74633,plain,(
% 59.37/10.02    spl2737_1926),
% 59.37/10.02    inference(avatar_split_clause,[],[f37230,f74631])).
% 59.37/10.02  tff(f74631,plain,(
% 59.37/10.02    spl2737_1926 <=> ! [X0 : $tType] : (bounde6485984586167503788ce_set(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1926])])).
% 59.37/10.02  tff(f37230,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (bounde6485984586167503788ce_set(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18995])).
% 59.37/10.02  tff(f18995,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bounde6485984586167503788ce_set(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7570])).
% 59.37/10.02  tff(f7570,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_gcd(X0) => bounde6485984586167503788ce_set(X0,gcd_gcd(X0),zero_zero(X0),one_one(X0),normal6383669964737779283malize(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7569_Gcd__fin_Obounded__quasi__semilattice__set__axioms)).
% 59.37/10.02  tff(f74629,plain,(
% 59.37/10.02    spl2737_1925 | ~spl2737_182 | ~spl2737_942),
% 59.37/10.02    inference(avatar_split_clause,[],[f69184,f68825,f65129,f74626])).
% 59.37/10.02  tff(f74626,plain,(
% 59.37/10.02    spl2737_1925 <=> sP150(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1925])])).
% 59.37/10.02  tff(f65129,plain,(
% 59.37/10.02    spl2737_182 <=> linord4710134922213307826strict(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_182])])).
% 59.37/10.02  tff(f69184,plain,(
% 59.37/10.02    sP150(real) | (~spl2737_182 | ~spl2737_942)),
% 59.37/10.02    inference(resolution,[],[f68826,f65131])).
% 59.37/10.02  tff(f65131,plain,(
% 59.37/10.02    linord4710134922213307826strict(real) | ~spl2737_182),
% 59.37/10.02    inference(avatar_component_clause,[],[f65129])).
% 59.37/10.02  tff(f74624,plain,(
% 59.37/10.02    spl2737_1924),
% 59.37/10.02    inference(avatar_split_clause,[],[f37229,f74622])).
% 59.37/10.02  tff(f74622,plain,(
% 59.37/10.02    spl2737_1924 <=> ! [X0 : $tType] : (bounde6485984586167503788ce_set(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1924])])).
% 59.37/10.02  tff(f37229,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (bounde6485984586167503788ce_set(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18994])).
% 59.37/10.02  tff(f18994,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bounde6485984586167503788ce_set(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7662])).
% 59.37/10.02  tff(f7662,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_gcd(X0) => bounde6485984586167503788ce_set(X0,gcd_lcm(X0),one_one(X0),zero_zero(X0),normal6383669964737779283malize(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7661_Lcm__fin_Obounded__quasi__semilattice__set__axioms)).
% 59.37/10.02  tff(f74620,plain,(
% 59.37/10.02    spl2737_1923),
% 59.37/10.02    inference(avatar_split_clause,[],[f37228,f74618])).
% 59.37/10.02  tff(f74618,plain,(
% 59.37/10.02    spl2737_1923 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1923])])).
% 59.37/10.02  tff(f37228,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18993])).
% 59.37/10.02  tff(f18993,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7518])).
% 59.37/10.02  tff(f7518,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_gcd(X0) => zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7517_lcm_Onormalize__bottom)).
% 59.37/10.02  tff(f74616,plain,(
% 59.37/10.02    spl2737_1922),
% 59.37/10.02    inference(avatar_split_clause,[],[f37227,f74614])).
% 59.37/10.02  tff(f74614,plain,(
% 59.37/10.02    spl2737_1922 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1922])])).
% 59.37/10.02  tff(f37227,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18992])).
% 59.37/10.02  tff(f18992,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)) | ~semiring_gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7521])).
% 59.37/10.02  tff(f7521,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_gcd(X0) => one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7520_gcd_Onormalize__bottom)).
% 59.37/10.02  tff(f74612,plain,(
% 59.37/10.02    spl2737_1921),
% 59.37/10.02    inference(avatar_split_clause,[],[f36929,f74610])).
% 59.37/10.02  tff(f74610,plain,(
% 59.37/10.02    spl2737_1921 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1)) | ~real_V8999393235501362500lgebra(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1921])])).
% 59.37/10.02  tff(f36929,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (summable(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1)) | ~real_V8999393235501362500lgebra(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18791])).
% 59.37/10.02  tff(f18791,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1)) | ~real_V8999393235501362500lgebra(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10828])).
% 59.37/10.02  tff(f10828,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X1 : fun(nat,X0)] : summable(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X1)))),
% 59.37/10.02    inference(rectify,[],[f3674])).
% 59.37/10.02  tff(f3674,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V8999393235501362500lgebra(X0) => ! [X32 : fun(nat,X0)] : summable(X0,aTP_Lamp_bu(fun(nat,X0),fun(nat,X0),X32)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3673_summable__0__powser)).
% 59.37/10.02  tff(f74608,plain,(
% 59.37/10.02    spl2737_1920),
% 59.37/10.02    inference(avatar_split_clause,[],[f36916,f74606])).
% 59.37/10.02  tff(f74606,plain,(
% 59.37/10.02    spl2737_1920 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1920])])).
% 59.37/10.02  tff(f36916,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~real_V2822296259951069270ebra_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18778])).
% 59.37/10.02  tff(f18778,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1960])).
% 59.37/10.02  tff(f1960,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => one_one(X0) = aa(X0,X0,sgn_sgn(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1959_sgn__one)).
% 59.37/10.02  tff(f74604,plain,(
% 59.37/10.02    spl2737_1919),
% 59.37/10.02    inference(avatar_split_clause,[],[f36792,f74602])).
% 59.37/10.02  tff(f74602,plain,(
% 59.37/10.02    spl2737_1919 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != unit_f5069060285200089521factor(X0,X1) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1919])])).
% 59.37/10.02  tff(f36792,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | zero_zero(X0) != unit_f5069060285200089521factor(X0,X1) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28140])).
% 59.37/10.02  tff(f28140,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : ((zero_zero(X0) = unit_f5069060285200089521factor(X0,X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | zero_zero(X0) != unit_f5069060285200089521factor(X0,X1))) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f18690])).
% 59.37/10.02  tff(f18690,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,X1) <=> zero_zero(X0) = X1) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10749])).
% 59.37/10.02  tff(f10749,plain,(
% 59.37/10.02    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,X1) <=> zero_zero(X0) = X1))),
% 59.37/10.02    inference(rectify,[],[f7716])).
% 59.37/10.02  tff(f7716,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,X7) <=> zero_zero(X0) = X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7715_unit__factor__eq__0__iff)).
% 59.37/10.02  tff(f74600,plain,(
% 59.37/10.02    spl2737_1918),
% 59.37/10.02    inference(avatar_split_clause,[],[f36777,f74598])).
% 59.37/10.02  tff(f74598,plain,(
% 59.37/10.02    spl2737_1918 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1918])])).
% 59.37/10.02  tff(f36777,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18676])).
% 59.37/10.02  tff(f18676,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7517])).
% 59.37/10.02  tff(f7517,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => zero_zero(X0) = aa(X0,X0,normal6383669964737779283malize(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7516_normalize__0)).
% 59.37/10.02  tff(f74596,plain,(
% 59.37/10.02    spl2737_1917),
% 59.37/10.02    inference(avatar_split_clause,[],[f36776,f74594])).
% 59.37/10.02  tff(f74594,plain,(
% 59.37/10.02    spl2737_1917 <=> ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1917])])).
% 59.37/10.02  tff(f36776,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18675])).
% 59.37/10.02  tff(f18675,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7522])).
% 59.37/10.02  tff(f7522,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => one_one(X0) = aa(X0,X0,normal6383669964737779283malize(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7521_normalize__1)).
% 59.37/10.02  tff(f74592,plain,(
% 59.37/10.02    spl2737_1916),
% 59.37/10.02    inference(avatar_split_clause,[],[f36705,f74590])).
% 59.37/10.02  tff(f74590,plain,(
% 59.37/10.02    spl2737_1916 <=> ! [X0 : $tType,X1 : real] : (zero_zero(real) = X1 | zero_zero(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1916])])).
% 59.37/10.02  tff(f36705,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : real] : (zero_zero(real) = X1 | zero_zero(X0) != real_Vector_of_real(X0,X1) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28108])).
% 59.37/10.02  tff(f28108,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : real] : ((zero_zero(X0) = real_Vector_of_real(X0,X1) | zero_zero(real) != X1) & (zero_zero(real) = X1 | zero_zero(X0) != real_Vector_of_real(X0,X1))) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f18635])).
% 59.37/10.02  tff(f18635,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : real] : (zero_zero(X0) = real_Vector_of_real(X0,X1) <=> zero_zero(real) = X1) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10702])).
% 59.37/10.02  tff(f10702,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : real] : (zero_zero(X0) = real_Vector_of_real(X0,X1) <=> zero_zero(real) = X1))),
% 59.37/10.02    inference(rectify,[],[f2296])).
% 59.37/10.02  tff(f2296,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X14 : real] : (zero_zero(X0) = real_Vector_of_real(X0,X14) <=> zero_zero(real) = X14))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2295_of__real__eq__0__iff)).
% 59.37/10.02  tff(f74588,plain,(
% 59.37/10.02    spl2737_1915),
% 59.37/10.02    inference(avatar_split_clause,[],[f36582,f74586])).
% 59.37/10.02  tff(f74586,plain,(
% 59.37/10.02    spl2737_1915 <=> ! [X0 : $tType,X1 : X0] : (eventually(X0,aTP_Lamp_yq(X0,fun(X0,bool),X1),at_bot(X0)) | ~unboun7993243217541854897norder(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1915])])).
% 59.37/10.02  tff(f36582,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (eventually(X0,aTP_Lamp_yq(X0,fun(X0,bool),X1),at_bot(X0)) | ~unboun7993243217541854897norder(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18547])).
% 59.37/10.02  tff(f18547,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : eventually(X0,aTP_Lamp_yq(X0,fun(X0,bool),X1),at_bot(X0)) | ~unboun7993243217541854897norder(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10621])).
% 59.37/10.02  tff(f10621,plain,(
% 59.37/10.02    ! [X0 : $tType] : (unboun7993243217541854897norder(X0) => ! [X1 : X0] : eventually(X0,aTP_Lamp_yq(X0,fun(X0,bool),X1),at_bot(X0)))),
% 59.37/10.02    inference(rectify,[],[f6104])).
% 59.37/10.02  tff(f6104,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (unboun7993243217541854897norder(X0) => ! [X50 : X0] : eventually(X0,aTP_Lamp_yq(X0,fun(X0,bool),X50),at_bot(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6103_eventually__gt__at__bot)).
% 59.37/10.02  tff(f74584,plain,(
% 59.37/10.02    spl2737_1914 | ~spl2737_180 | ~spl2737_942),
% 59.37/10.02    inference(avatar_split_clause,[],[f69183,f68825,f65119,f74581])).
% 59.37/10.02  tff(f74581,plain,(
% 59.37/10.02    spl2737_1914 <=> sP150(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1914])])).
% 59.37/10.02  tff(f65119,plain,(
% 59.37/10.02    spl2737_180 <=> linord4710134922213307826strict(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_180])])).
% 59.37/10.02  tff(f69183,plain,(
% 59.37/10.02    sP150(code_integer) | (~spl2737_180 | ~spl2737_942)),
% 59.37/10.02    inference(resolution,[],[f68826,f65121])).
% 59.37/10.02  tff(f65121,plain,(
% 59.37/10.02    linord4710134922213307826strict(code_integer) | ~spl2737_180),
% 59.37/10.02    inference(avatar_component_clause,[],[f65119])).
% 59.37/10.02  tff(f74579,plain,(
% 59.37/10.02    spl2737_1913),
% 59.37/10.02    inference(avatar_split_clause,[],[f36442,f74577])).
% 59.37/10.02  tff(f74577,plain,(
% 59.37/10.02    spl2737_1913 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)) | ~ln(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1913])])).
% 59.37/10.02  tff(f36442,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)) | ~ln(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18460])).
% 59.37/10.02  tff(f18460,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)) | ~ln(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1631])).
% 59.37/10.02  tff(f1631,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ln(X0) => zero_zero(X0) = aa(X0,X0,ln_ln(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1630_ln__one)).
% 59.37/10.02  tff(f74575,plain,(
% 59.37/10.02    spl2737_1912),
% 59.37/10.02    inference(avatar_split_clause,[],[f36441,f74573])).
% 59.37/10.02  tff(f74573,plain,(
% 59.37/10.02    spl2737_1912 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)) | ~ln(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1912])])).
% 59.37/10.02  tff(f36441,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)) | ~ln(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18459])).
% 59.37/10.02  tff(f18459,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)) | ~ln(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1593])).
% 59.37/10.02  tff(f1593,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ln(X0) => zero_zero(X0) = aa(X0,X0,arcosh(X0),one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1592_arcosh__1)).
% 59.37/10.02  tff(f74571,plain,(
% 59.37/10.02    spl2737_1911),
% 59.37/10.02    inference(avatar_split_clause,[],[f36440,f74569])).
% 59.37/10.02  tff(f74569,plain,(
% 59.37/10.02    spl2737_1911 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arsinh(X0),zero_zero(X0)) | ~ln(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1911])])).
% 59.37/10.02  tff(f36440,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arsinh(X0),zero_zero(X0)) | ~ln(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18458])).
% 59.37/10.02  tff(f18458,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(X0,X0,arsinh(X0),zero_zero(X0)) | ~ln(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f1598])).
% 59.37/10.02  tff(f1598,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ln(X0) => zero_zero(X0) = aa(X0,X0,arsinh(X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1597_arsinh__0)).
% 59.37/10.02  tff(f74567,plain,(
% 59.37/10.02    spl2737_1910),
% 59.37/10.02    inference(avatar_split_clause,[],[f36330,f74565])).
% 59.37/10.02  tff(f74565,plain,(
% 59.37/10.02    spl2737_1910 <=> ! [X0 : real] : aa(real,real,tan(real),aa(real,real,arctan,X0)) = X0),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1910])])).
% 59.37/10.02  tff(f36330,plain,(
% 59.37/10.02    ( ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,arctan,X0)) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10487])).
% 59.37/10.02  tff(f10487,plain,(
% 59.37/10.02    ! [X0 : real] : (aa(real,real,tan(real),aa(real,real,arctan,X0)) = X0 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,arctan,X0)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),aa(real,real,arctan,X0))))),
% 59.37/10.02    inference(rectify,[],[f3154])).
% 59.37/10.02  tff(f3154,axiom,(
% 59.37/10.02    ! [X15 : real] : (aa(real,real,tan(real),aa(real,real,arctan,X15)) = X15 & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,arctan,X15)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),aa(real,real,uminus_uminus(real),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))),aa(real,real,arctan,X15))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3153_arctan)).
% 59.37/10.02  tff(f74563,plain,(
% 59.37/10.02    spl2737_1909),
% 59.37/10.02    inference(avatar_split_clause,[],[f35866,f74561])).
% 59.37/10.02  tff(f35866,plain,(
% 59.37/10.02    ( ! [X0 : int] : (pp(aa(set(int),bool,finite_finite(int),set_or7035219750837199246ssThan(int,zero_zero(int),X0)))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10032])).
% 59.37/10.02  tff(f10032,plain,(
% 59.37/10.02    ! [X0 : int] : pp(aa(set(int),bool,finite_finite(int),set_or7035219750837199246ssThan(int,zero_zero(int),X0)))),
% 59.37/10.02    inference(rectify,[],[f4304])).
% 59.37/10.02  tff(f4304,axiom,(
% 59.37/10.02    ! [X132 : int] : pp(aa(set(int),bool,finite_finite(int),set_or7035219750837199246ssThan(int,zero_zero(int),X132)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4303_finite__atLeastZeroLessThan__int)).
% 59.37/10.02  tff(f74559,plain,(
% 59.37/10.02    spl2737_1908),
% 59.37/10.02    inference(avatar_split_clause,[],[f35861,f74557])).
% 59.37/10.02  tff(f74557,plain,(
% 59.37/10.02    spl2737_1908 <=> ! [X0 : nat] : set_ord_atMost(nat,X0) = set_ord_lessThan(nat,aa(nat,nat,suc,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1908])])).
% 59.37/10.02  tff(f74555,plain,(
% 59.37/10.02    spl2737_1907),
% 59.37/10.02    inference(avatar_split_clause,[],[f35859,f74553])).
% 59.37/10.02  tff(f74553,plain,(
% 59.37/10.02    spl2737_1907 <=> ! [X0 : set(int)] : gcd_Lcm(int,X0) = aa(int,int,abs_abs(int),gcd_Lcm(int,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1907])])).
% 59.37/10.02  tff(f35859,plain,(
% 59.37/10.02    ( ! [X0 : set(int)] : (gcd_Lcm(int,X0) = aa(int,int,abs_abs(int),gcd_Lcm(int,X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10026])).
% 59.37/10.02  tff(f10026,plain,(
% 59.37/10.02    ! [X0 : set(int)] : gcd_Lcm(int,X0) = aa(int,int,abs_abs(int),gcd_Lcm(int,X0))),
% 59.37/10.02    inference(rectify,[],[f7485])).
% 59.37/10.02  tff(f7485,axiom,(
% 59.37/10.02    ! [X161 : set(int)] : gcd_Lcm(int,X161) = aa(int,int,abs_abs(int),gcd_Lcm(int,X161))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7484_abs__Lcm__eq)).
% 59.37/10.02  tff(f74551,plain,(
% 59.37/10.02    spl2737_1906),
% 59.37/10.02    inference(avatar_split_clause,[],[f35858,f74549])).
% 59.37/10.02  tff(f74549,plain,(
% 59.37/10.02    spl2737_1906 <=> ! [X0 : set(int)] : gcd_Lcm(int,X0) = gcd_Lcm(int,image(int,int,abs_abs(int),X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1906])])).
% 59.37/10.02  tff(f35858,plain,(
% 59.37/10.02    ( ! [X0 : set(int)] : (gcd_Lcm(int,X0) = gcd_Lcm(int,image(int,int,abs_abs(int),X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10025])).
% 59.37/10.02  tff(f10025,plain,(
% 59.37/10.02    ! [X0 : set(int)] : gcd_Lcm(int,X0) = gcd_Lcm(int,image(int,int,abs_abs(int),X0))),
% 59.37/10.02    inference(rectify,[],[f7487])).
% 59.37/10.02  tff(f7487,axiom,(
% 59.37/10.02    ! [X161 : set(int)] : gcd_Lcm(int,X161) = gcd_Lcm(int,image(int,int,abs_abs(int),X161))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7486_Lcm__abs__eq)).
% 59.37/10.02  tff(f74547,plain,(
% 59.37/10.02    spl2737_1905),
% 59.37/10.02    inference(avatar_split_clause,[],[f35857,f74545])).
% 59.37/10.02  tff(f74545,plain,(
% 59.37/10.02    spl2737_1905 <=> ! [X0 : set(int)] : gcd_Gcd(int,X0) = aa(int,int,abs_abs(int),gcd_Gcd(int,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1905])])).
% 59.37/10.02  tff(f35857,plain,(
% 59.37/10.02    ( ! [X0 : set(int)] : (gcd_Gcd(int,X0) = aa(int,int,abs_abs(int),gcd_Gcd(int,X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10024])).
% 59.37/10.02  tff(f10024,plain,(
% 59.37/10.02    ! [X0 : set(int)] : gcd_Gcd(int,X0) = aa(int,int,abs_abs(int),gcd_Gcd(int,X0))),
% 59.37/10.02    inference(rectify,[],[f4728])).
% 59.37/10.02  tff(f4728,axiom,(
% 59.37/10.02    ! [X161 : set(int)] : gcd_Gcd(int,X161) = aa(int,int,abs_abs(int),gcd_Gcd(int,X161))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4727_abs__Gcd__eq)).
% 59.37/10.02  tff(f74543,plain,(
% 59.37/10.02    spl2737_1904),
% 59.37/10.02    inference(avatar_split_clause,[],[f35856,f74541])).
% 59.37/10.02  tff(f74541,plain,(
% 59.37/10.02    spl2737_1904 <=> ! [X0 : set(int)] : gcd_Gcd(int,X0) = gcd_Gcd(int,image(int,int,abs_abs(int),X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1904])])).
% 59.37/10.02  tff(f35856,plain,(
% 59.37/10.02    ( ! [X0 : set(int)] : (gcd_Gcd(int,X0) = gcd_Gcd(int,image(int,int,abs_abs(int),X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10023])).
% 59.37/10.02  tff(f10023,plain,(
% 59.37/10.02    ! [X0 : set(int)] : gcd_Gcd(int,X0) = gcd_Gcd(int,image(int,int,abs_abs(int),X0))),
% 59.37/10.02    inference(rectify,[],[f4958])).
% 59.37/10.02  tff(f4958,axiom,(
% 59.37/10.02    ! [X161 : set(int)] : gcd_Gcd(int,X161) = gcd_Gcd(int,image(int,int,abs_abs(int),X161))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4957_Gcd__abs__eq)).
% 59.37/10.02  tff(f74539,plain,(
% 59.37/10.02    spl2737_1903 | ~spl2737_183 | ~spl2737_941),
% 59.37/10.02    inference(avatar_split_clause,[],[f69182,f68821,f65134,f74536])).
% 59.37/10.02  tff(f74536,plain,(
% 59.37/10.02    spl2737_1903 <=> sP148(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1903])])).
% 59.37/10.02  tff(f68821,plain,(
% 59.37/10.02    spl2737_941 <=> ! [X0 : $tType] : (sP148(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_941])])).
% 59.37/10.02  tff(f69182,plain,(
% 59.37/10.02    sP148(int) | (~spl2737_183 | ~spl2737_941)),
% 59.37/10.02    inference(resolution,[],[f68822,f65136])).
% 59.37/10.02  tff(f68822,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP148(X0)) ) | ~spl2737_941),
% 59.37/10.02    inference(avatar_component_clause,[],[f68821])).
% 59.37/10.02  tff(f74534,plain,(
% 59.37/10.02    spl2737_1902),
% 59.37/10.02    inference(avatar_split_clause,[],[f35855,f74532])).
% 59.37/10.02  tff(f35855,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (set_ord_greaterThan(nat,X0) = set_ord_atLeast(nat,aa(nat,nat,suc,X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10022])).
% 59.37/10.02  tff(f10022,plain,(
% 59.37/10.02    ! [X0 : nat] : set_ord_greaterThan(nat,X0) = set_ord_atLeast(nat,aa(nat,nat,suc,X0))),
% 59.37/10.02    inference(rectify,[],[f6963])).
% 59.37/10.02  tff(f6963,axiom,(
% 59.37/10.02    ! [X18 : nat] : set_ord_greaterThan(nat,X18) = set_ord_atLeast(nat,aa(nat,nat,suc,X18))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6962_atLeast__Suc__greaterThan)).
% 59.37/10.02  tff(f74528,plain,(
% 59.37/10.02    spl2737_1901 | ~spl2737_1900),
% 59.37/10.02    inference(avatar_split_clause,[],[f74524,f74521,f74526])).
% 59.37/10.02  tff(f74521,plain,(
% 59.37/10.02    spl2737_1900 <=> ! [X0 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1900])])).
% 59.37/10.02  tff(f74524,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (~pp(aa(vEBT_VEBT,bool,combc(vEBT_VEBT,nat,bool,vEBT_V8194947554948674370ptions,X0),summary))) ) | ~spl2737_1900),
% 59.37/10.02    inference(forward_demodulation,[],[f74522,f50171])).
% 59.37/10.02  tff(f74522,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),X0))) ) | ~spl2737_1900),
% 59.37/10.02    inference(avatar_component_clause,[],[f74521])).
% 59.37/10.02  tff(f74523,plain,(
% 59.37/10.02    spl2737_1900),
% 59.37/10.02    inference(avatar_split_clause,[],[f35729,f74521])).
% 59.37/10.02  tff(f35729,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18393])).
% 59.37/10.02  tff(f18393,plain,(
% 59.37/10.02    ! [X0 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f9899])).
% 59.37/10.02  tff(f9899,plain,(
% 59.37/10.02    ~? [X0 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),X0))),
% 59.37/10.02    inference(rectify,[],[f142])).
% 59.37/10.02  tff(f142,axiom,(
% 59.37/10.02    ~? [X42 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,summary),X42))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141__C3_Ohyps_C_I5_J)).
% 59.37/10.02  tff(f74519,plain,(
% 59.37/10.02    spl2737_1899),
% 59.37/10.02    inference(avatar_split_clause,[],[f35507,f74516])).
% 59.37/10.02  tff(f74516,plain,(
% 59.37/10.02    spl2737_1899 <=> filterlim(nat,real,aTP_Lamp_vr(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1899])])).
% 59.37/10.02  tff(f35507,plain,(
% 59.37/10.02    filterlim(nat,real,aTP_Lamp_vr(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 59.37/10.02    inference(cnf_transformation,[],[f5943])).
% 59.37/10.02  tff(f5943,axiom,(
% 59.37/10.02    filterlim(nat,real,aTP_Lamp_vr(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5942_lim__inverse__n_H)).
% 59.37/10.02  tff(f74514,plain,(
% 59.37/10.02    spl2737_1898),
% 59.37/10.02    inference(avatar_split_clause,[],[f35506,f74511])).
% 59.37/10.02  tff(f74511,plain,(
% 59.37/10.02    spl2737_1898 <=> filterlim(nat,real,aTP_Lamp_vt(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1898])])).
% 59.37/10.02  tff(f35506,plain,(
% 59.37/10.02    filterlim(nat,real,aTP_Lamp_vt(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 59.37/10.02    inference(cnf_transformation,[],[f5945])).
% 59.37/10.02  tff(f5945,axiom,(
% 59.37/10.02    filterlim(nat,real,aTP_Lamp_vt(nat,real),topolo7230453075368039082e_nhds(real,zero_zero(real)),at_top(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5944_LIMSEQ__inverse__real__of__nat)).
% 59.37/10.02  tff(f74509,plain,(
% 59.37/10.02    spl2737_1897),
% 59.37/10.02    inference(avatar_split_clause,[],[f35504,f74506])).
% 59.37/10.02  tff(f74506,plain,(
% 59.37/10.02    spl2737_1897 <=> bij_betw(list(nat),nat,nat_list_encode,top_top(set(list(nat))),top_top(set(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1897])])).
% 59.37/10.02  tff(f35504,plain,(
% 59.37/10.02    bij_betw(list(nat),nat,nat_list_encode,top_top(set(list(nat))),top_top(set(nat)))),
% 59.37/10.02    inference(cnf_transformation,[],[f5663])).
% 59.37/10.02  tff(f5663,axiom,(
% 59.37/10.02    bij_betw(list(nat),nat,nat_list_encode,top_top(set(list(nat))),top_top(set(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5662_bij__list__encode)).
% 59.37/10.02  tff(f74504,plain,(
% 59.37/10.02    spl2737_1896),
% 59.37/10.02    inference(avatar_split_clause,[],[f35503,f74501])).
% 59.37/10.02  tff(f74501,plain,(
% 59.37/10.02    spl2737_1896 <=> bij_betw(nat,list(nat),nat_list_decode,top_top(set(nat)),top_top(set(list(nat))))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1896])])).
% 59.37/10.02  tff(f35503,plain,(
% 59.37/10.02    bij_betw(nat,list(nat),nat_list_decode,top_top(set(nat)),top_top(set(list(nat))))),
% 59.37/10.02    inference(cnf_transformation,[],[f7133])).
% 59.37/10.02  tff(f7133,axiom,(
% 59.37/10.02    bij_betw(nat,list(nat),nat_list_decode,top_top(set(nat)),top_top(set(list(nat))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7132_bij__list__decode)).
% 59.37/10.02  tff(f74499,plain,(
% 59.37/10.02    spl2737_1895),
% 59.37/10.02    inference(avatar_split_clause,[],[f35502,f74496])).
% 59.37/10.02  tff(f74496,plain,(
% 59.37/10.02    spl2737_1895 <=> image(int,int,abs_abs(int),top_top(set(int))) = semiring_1_Nats(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1895])])).
% 59.37/10.02  tff(f74494,plain,(
% 59.37/10.02    spl2737_1894),
% 59.37/10.02    inference(avatar_split_clause,[],[f35500,f74491])).
% 59.37/10.02  tff(f74491,plain,(
% 59.37/10.02    spl2737_1894 <=> top_top(set(nat)) = image(int,nat,nat_int_encode,top_top(set(int)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1894])])).
% 59.37/10.02  tff(f35500,plain,(
% 59.37/10.02    top_top(set(nat)) = image(int,nat,nat_int_encode,top_top(set(int)))),
% 59.37/10.02    inference(cnf_transformation,[],[f5819])).
% 59.37/10.02  tff(f5819,axiom,(
% 59.37/10.02    top_top(set(nat)) = image(int,nat,nat_int_encode,top_top(set(int)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5818_surj__int__encode)).
% 59.37/10.02  tff(f74489,plain,(
% 59.37/10.02    spl2737_1893 | ~spl2737_181 | ~spl2737_941),
% 59.37/10.02    inference(avatar_split_clause,[],[f69181,f68821,f65124,f74486])).
% 59.37/10.02  tff(f74486,plain,(
% 59.37/10.02    spl2737_1893 <=> sP148(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1893])])).
% 59.37/10.02  tff(f69181,plain,(
% 59.37/10.02    sP148(rat) | (~spl2737_181 | ~spl2737_941)),
% 59.37/10.02    inference(resolution,[],[f68822,f65126])).
% 59.37/10.02  tff(f74484,plain,(
% 59.37/10.02    spl2737_1892),
% 59.37/10.02    inference(avatar_split_clause,[],[f35499,f74481])).
% 59.37/10.02  tff(f74481,plain,(
% 59.37/10.02    spl2737_1892 <=> top_top(set(int)) = image(nat,int,nat_int_decode,top_top(set(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1892])])).
% 59.37/10.02  tff(f35499,plain,(
% 59.37/10.02    top_top(set(int)) = image(nat,int,nat_int_decode,top_top(set(nat)))),
% 59.37/10.02    inference(cnf_transformation,[],[f6197])).
% 59.37/10.02  tff(f6197,axiom,(
% 59.37/10.02    top_top(set(int)) = image(nat,int,nat_int_decode,top_top(set(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6196_surj__int__decode)).
% 59.37/10.02  tff(f74479,plain,(
% 59.37/10.02    spl2737_1891),
% 59.37/10.02    inference(avatar_split_clause,[],[f35497,f74476])).
% 59.37/10.02  tff(f74476,plain,(
% 59.37/10.02    spl2737_1891 <=> zero_zero(real) = aa(fun(nat,rat),real,real2,aTP_Lamp_aaj(nat,rat))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1891])])).
% 59.37/10.02  tff(f35497,plain,(
% 59.37/10.02    zero_zero(real) = aa(fun(nat,rat),real,real2,aTP_Lamp_aaj(nat,rat))),
% 59.37/10.02    inference(cnf_transformation,[],[f6410])).
% 59.37/10.02  tff(f6410,axiom,(
% 59.37/10.02    zero_zero(real) = aa(fun(nat,rat),real,real2,aTP_Lamp_aaj(nat,rat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6409_zero__real__def)).
% 59.37/10.02  tff(f74457,plain,(
% 59.37/10.02    spl2737_1890 | ~spl2737_182 | ~spl2737_941),
% 59.37/10.02    inference(avatar_split_clause,[],[f69180,f68821,f65129,f74454])).
% 59.37/10.02  tff(f74454,plain,(
% 59.37/10.02    spl2737_1890 <=> sP148(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1890])])).
% 59.37/10.02  tff(f69180,plain,(
% 59.37/10.02    sP148(real) | (~spl2737_182 | ~spl2737_941)),
% 59.37/10.02    inference(resolution,[],[f68822,f65131])).
% 59.37/10.02  tff(f74427,plain,(
% 59.37/10.02    spl2737_1889 | ~spl2737_180 | ~spl2737_941),
% 59.37/10.02    inference(avatar_split_clause,[],[f69179,f68821,f65119,f74424])).
% 59.37/10.02  tff(f74424,plain,(
% 59.37/10.02    spl2737_1889 <=> sP148(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1889])])).
% 59.37/10.02  tff(f69179,plain,(
% 59.37/10.02    sP148(code_integer) | (~spl2737_180 | ~spl2737_941)),
% 59.37/10.02    inference(resolution,[],[f68822,f65121])).
% 59.37/10.02  tff(f74400,plain,(
% 59.37/10.02    spl2737_1888 | ~spl2737_183 | ~spl2737_940),
% 59.37/10.02    inference(avatar_split_clause,[],[f69178,f68817,f65134,f74397])).
% 59.37/10.02  tff(f74397,plain,(
% 59.37/10.02    spl2737_1888 <=> sP146(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1888])])).
% 59.37/10.02  tff(f68817,plain,(
% 59.37/10.02    spl2737_940 <=> ! [X0 : $tType] : (sP146(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_940])])).
% 59.37/10.02  tff(f69178,plain,(
% 59.37/10.02    sP146(int) | (~spl2737_183 | ~spl2737_940)),
% 59.37/10.02    inference(resolution,[],[f68818,f65136])).
% 59.37/10.02  tff(f68818,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP146(X0)) ) | ~spl2737_940),
% 59.37/10.02    inference(avatar_component_clause,[],[f68817])).
% 59.37/10.02  tff(f74360,plain,(
% 59.37/10.02    spl2737_1887 | ~spl2737_181 | ~spl2737_940),
% 59.37/10.02    inference(avatar_split_clause,[],[f69177,f68817,f65124,f74357])).
% 59.37/10.02  tff(f74357,plain,(
% 59.37/10.02    spl2737_1887 <=> sP146(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1887])])).
% 59.37/10.02  tff(f69177,plain,(
% 59.37/10.02    sP146(rat) | (~spl2737_181 | ~spl2737_940)),
% 59.37/10.02    inference(resolution,[],[f68818,f65126])).
% 59.37/10.02  tff(f74349,plain,(
% 59.37/10.02    spl2737_1886 | ~spl2737_182 | ~spl2737_940),
% 59.37/10.02    inference(avatar_split_clause,[],[f69176,f68817,f65129,f74346])).
% 59.37/10.02  tff(f74346,plain,(
% 59.37/10.02    spl2737_1886 <=> sP146(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1886])])).
% 59.37/10.02  tff(f69176,plain,(
% 59.37/10.02    sP146(real) | (~spl2737_182 | ~spl2737_940)),
% 59.37/10.02    inference(resolution,[],[f68818,f65131])).
% 59.37/10.02  tff(f74327,plain,(
% 59.37/10.02    spl2737_1885 | ~spl2737_180 | ~spl2737_940),
% 59.37/10.02    inference(avatar_split_clause,[],[f69175,f68817,f65119,f74324])).
% 59.37/10.02  tff(f74324,plain,(
% 59.37/10.02    spl2737_1885 <=> sP146(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1885])])).
% 59.37/10.02  tff(f69175,plain,(
% 59.37/10.02    sP146(code_integer) | (~spl2737_180 | ~spl2737_940)),
% 59.37/10.02    inference(resolution,[],[f68818,f65121])).
% 59.37/10.02  tff(f74310,plain,(
% 59.37/10.02    spl2737_1884 | ~spl2737_183 | ~spl2737_939),
% 59.37/10.02    inference(avatar_split_clause,[],[f69174,f68813,f65134,f74307])).
% 59.37/10.02  tff(f74307,plain,(
% 59.37/10.02    spl2737_1884 <=> sP144(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1884])])).
% 59.37/10.02  tff(f68813,plain,(
% 59.37/10.02    spl2737_939 <=> ! [X0 : $tType] : (sP144(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_939])])).
% 59.37/10.02  tff(f69174,plain,(
% 59.37/10.02    sP144(int) | (~spl2737_183 | ~spl2737_939)),
% 59.37/10.02    inference(resolution,[],[f68814,f65136])).
% 59.37/10.02  tff(f68814,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP144(X0)) ) | ~spl2737_939),
% 59.37/10.02    inference(avatar_component_clause,[],[f68813])).
% 59.37/10.02  tff(f74286,plain,(
% 59.37/10.02    spl2737_1883 | ~spl2737_181 | ~spl2737_939),
% 59.37/10.02    inference(avatar_split_clause,[],[f69173,f68813,f65124,f74283])).
% 59.37/10.02  tff(f74283,plain,(
% 59.37/10.02    spl2737_1883 <=> sP144(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1883])])).
% 59.37/10.02  tff(f69173,plain,(
% 59.37/10.02    sP144(rat) | (~spl2737_181 | ~spl2737_939)),
% 59.37/10.02    inference(resolution,[],[f68814,f65126])).
% 59.37/10.02  tff(f74213,plain,(
% 59.37/10.02    spl2737_1882 | ~spl2737_182 | ~spl2737_939),
% 59.37/10.02    inference(avatar_split_clause,[],[f69172,f68813,f65129,f74210])).
% 59.37/10.02  tff(f74210,plain,(
% 59.37/10.02    spl2737_1882 <=> sP144(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1882])])).
% 59.37/10.02  tff(f69172,plain,(
% 59.37/10.02    sP144(real) | (~spl2737_182 | ~spl2737_939)),
% 59.37/10.02    inference(resolution,[],[f68814,f65131])).
% 59.37/10.02  tff(f74171,plain,(
% 59.37/10.02    spl2737_1881 | ~spl2737_180 | ~spl2737_939),
% 59.37/10.02    inference(avatar_split_clause,[],[f69171,f68813,f65119,f74168])).
% 59.37/10.02  tff(f74168,plain,(
% 59.37/10.02    spl2737_1881 <=> sP144(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1881])])).
% 59.37/10.02  tff(f69171,plain,(
% 59.37/10.02    sP144(code_integer) | (~spl2737_180 | ~spl2737_939)),
% 59.37/10.02    inference(resolution,[],[f68814,f65121])).
% 59.37/10.02  tff(f74084,plain,(
% 59.37/10.02    spl2737_1880 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f62208,f73619,f74082])).
% 59.37/10.02  tff(f74082,plain,(
% 59.37/10.02    spl2737_1880 <=> ! [X1 : bool] : (pp(X1) | ~sP477(one_one(nat),X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1880])])).
% 59.37/10.02  tff(f62208,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | pp(X1) | ~sP477(one_one(nat),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53636,f35397])).
% 59.37/10.02  tff(f53636,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (pp(X1) | zero_zero(nat) = one_one(nat) | ~sP477(one_one(nat),X1)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48565])).
% 59.37/10.02  tff(f48565,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0 | ~sP477(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33378])).
% 59.37/10.02  tff(f33378,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((sP477(X0,X1) | ((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0)) & ((one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0 | ~sP477(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f33377])).
% 59.37/10.02  tff(f33377,plain,(
% 59.37/10.02    ! [X2 : nat,X1 : bool] : ((sP477(X2,X1) | ((one_one(nat) != X2 | (~pp(X1) & one_one(nat) = X2)) & zero_zero(nat) != X2)) & ((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2 | ~sP477(X2,X1)))),
% 59.37/10.02    inference(flattening,[],[f33376])).
% 59.37/10.02  tff(f33376,plain,(
% 59.37/10.02    ! [X2 : nat,X1 : bool] : ((sP477(X2,X1) | ((one_one(nat) != X2 | (~pp(X1) & one_one(nat) = X2)) & zero_zero(nat) != X2)) & (((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2) | ~sP477(X2,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27795])).
% 59.37/10.02  tff(f74080,plain,(
% 59.37/10.02    spl2737_1879 | ~spl2737_183 | ~spl2737_938),
% 59.37/10.02    inference(avatar_split_clause,[],[f69165,f68809,f65134,f74077])).
% 59.37/10.02  tff(f74077,plain,(
% 59.37/10.02    spl2737_1879 <=> sP142(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1879])])).
% 59.37/10.02  tff(f68809,plain,(
% 59.37/10.02    spl2737_938 <=> ! [X0 : $tType] : (sP142(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_938])])).
% 59.37/10.02  tff(f69165,plain,(
% 59.37/10.02    sP142(int) | (~spl2737_183 | ~spl2737_938)),
% 59.37/10.02    inference(resolution,[],[f68810,f65136])).
% 59.37/10.02  tff(f68810,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP142(X0)) ) | ~spl2737_938),
% 59.37/10.02    inference(avatar_component_clause,[],[f68809])).
% 59.37/10.02  tff(f74074,plain,(
% 59.37/10.02    spl2737_1878 | ~spl2737_1843 | ~spl2737_1877),
% 59.37/10.02    inference(avatar_split_clause,[],[f74070,f74066,f73619,f74072])).
% 59.37/10.02  tff(f74072,plain,(
% 59.37/10.02    spl2737_1878 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | ~sP477(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1878])])).
% 59.37/10.02  tff(f74066,plain,(
% 59.37/10.02    spl2737_1877 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP477(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1877])])).
% 59.37/10.02  tff(f74070,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | ~sP477(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1877)),
% 59.37/10.02    inference(duplicate_literal_removal,[],[f74069])).
% 59.37/10.02  tff(f74069,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | size_num(one2) = X0 | ~sP477(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1877)),
% 59.37/10.02    inference(forward_demodulation,[],[f74067,f73621])).
% 59.37/10.02  tff(f74067,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP477(X0,X1)) ) | ~spl2737_1877),
% 59.37/10.02    inference(avatar_component_clause,[],[f74066])).
% 59.37/10.02  tff(f74068,plain,(
% 59.37/10.02    spl2737_1877),
% 59.37/10.02    inference(avatar_split_clause,[],[f62207,f74066])).
% 59.37/10.02  tff(f62207,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP477(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f48566,f35397])).
% 59.37/10.02  tff(f48566,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP477(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33378])).
% 59.37/10.02  tff(f74010,plain,(
% 59.37/10.02    spl2737_1876 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f62127,f73619,f74008])).
% 59.37/10.02  tff(f74008,plain,(
% 59.37/10.02    spl2737_1876 <=> ! [X1 : bool] : (pp(X1) | ~sP465(one_one(nat),X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1876])])).
% 59.37/10.02  tff(f62127,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | pp(X1) | ~sP465(one_one(nat),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53610,f35397])).
% 59.37/10.02  tff(f53610,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (pp(X1) | zero_zero(nat) = one_one(nat) | ~sP465(one_one(nat),X1)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48425])).
% 59.37/10.02  tff(f48425,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0 | ~sP465(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33265])).
% 59.37/10.02  tff(f33265,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((sP465(X0,X1) | ((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0)) & ((one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0 | ~sP465(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f33264])).
% 59.37/10.02  tff(f33264,plain,(
% 59.37/10.02    ! [X2 : nat,X1 : bool] : ((sP465(X2,X1) | ((one_one(nat) != X2 | (~pp(X1) & one_one(nat) = X2)) & zero_zero(nat) != X2)) & ((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2 | ~sP465(X2,X1)))),
% 59.37/10.02    inference(flattening,[],[f33263])).
% 59.37/10.02  tff(f33263,plain,(
% 59.37/10.02    ! [X2 : nat,X1 : bool] : ((sP465(X2,X1) | ((one_one(nat) != X2 | (~pp(X1) & one_one(nat) = X2)) & zero_zero(nat) != X2)) & (((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2) | ~sP465(X2,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27776])).
% 59.37/10.02  tff(f27776,plain,(
% 59.37/10.02    ! [X2 : nat,X1 : bool] : (sP465(X2,X1) <=> ((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP465])])).
% 59.37/10.02  tff(f74005,plain,(
% 59.37/10.02    spl2737_1875 | ~spl2737_1843 | ~spl2737_1874),
% 59.37/10.02    inference(avatar_split_clause,[],[f74001,f73997,f73619,f74003])).
% 59.37/10.02  tff(f74003,plain,(
% 59.37/10.02    spl2737_1875 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | ~sP465(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1875])])).
% 59.37/10.02  tff(f73997,plain,(
% 59.37/10.02    spl2737_1874 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP465(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1874])])).
% 59.37/10.02  tff(f74001,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | ~sP465(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1874)),
% 59.37/10.02    inference(duplicate_literal_removal,[],[f74000])).
% 59.37/10.02  tff(f74000,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | size_num(one2) = X0 | ~sP465(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1874)),
% 59.37/10.02    inference(forward_demodulation,[],[f73998,f73621])).
% 59.37/10.02  tff(f73998,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP465(X0,X1)) ) | ~spl2737_1874),
% 59.37/10.02    inference(avatar_component_clause,[],[f73997])).
% 59.37/10.02  tff(f73999,plain,(
% 59.37/10.02    spl2737_1874),
% 59.37/10.02    inference(avatar_split_clause,[],[f62126,f73997])).
% 59.37/10.02  tff(f62126,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP465(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f48426,f35397])).
% 59.37/10.02  tff(f48426,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP465(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33265])).
% 59.37/10.02  tff(f73993,plain,(
% 59.37/10.02    spl2737_1873 | ~spl2737_181 | ~spl2737_938),
% 59.37/10.02    inference(avatar_split_clause,[],[f69164,f68809,f65124,f73990])).
% 59.37/10.02  tff(f73990,plain,(
% 59.37/10.02    spl2737_1873 <=> sP142(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1873])])).
% 59.37/10.02  tff(f69164,plain,(
% 59.37/10.02    sP142(rat) | (~spl2737_181 | ~spl2737_938)),
% 59.37/10.02    inference(resolution,[],[f68810,f65126])).
% 59.37/10.02  tff(f73938,plain,(
% 59.37/10.02    spl2737_1872 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f62047,f73619,f73936])).
% 59.37/10.02  tff(f73936,plain,(
% 59.37/10.02    spl2737_1872 <=> ! [X1 : bool] : (sP451(one_one(nat),X1) | pp(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1872])])).
% 59.37/10.02  tff(f62047,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | sP451(one_one(nat),X1) | pp(X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53585,f35397])).
% 59.37/10.02  tff(f53585,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (sP451(one_one(nat),X1) | pp(X1) | zero_zero(nat) = one_one(nat)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48261])).
% 59.37/10.02  tff(f48261,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (sP451(X0,X1) | pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33077])).
% 59.37/10.02  tff(f33077,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((sP451(X0,X1) | (one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP451(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f33076])).
% 59.37/10.02  tff(f33076,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP451(X1,X4) | (one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1) & (((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP451(X1,X4)))),
% 59.37/10.02    inference(flattening,[],[f33075])).
% 59.37/10.02  tff(f33075,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP451(X1,X4) | ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1)) & (((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP451(X1,X4)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27757])).
% 59.37/10.02  tff(f27757,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : (sP451(X1,X4) <=> ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP451])])).
% 59.37/10.02  tff(f73933,plain,(
% 59.37/10.02    spl2737_1871 | ~spl2737_1843 | ~spl2737_1870),
% 59.37/10.02    inference(avatar_split_clause,[],[f73929,f73925,f73619,f73931])).
% 59.37/10.02  tff(f73931,plain,(
% 59.37/10.02    spl2737_1871 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP451(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1871])])).
% 59.37/10.02  tff(f73925,plain,(
% 59.37/10.02    spl2737_1870 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP451(X0,X1) | one_one(nat) = X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1870])])).
% 59.37/10.02  tff(f73929,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP451(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1870)),
% 59.37/10.02    inference(duplicate_literal_removal,[],[f73928])).
% 59.37/10.02  tff(f73928,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | size_num(one2) = X0 | sP451(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1870)),
% 59.37/10.02    inference(forward_demodulation,[],[f73926,f73621])).
% 59.37/10.02  tff(f73926,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP451(X0,X1) | one_one(nat) = X0) ) | ~spl2737_1870),
% 59.37/10.02    inference(avatar_component_clause,[],[f73925])).
% 59.37/10.02  tff(f73927,plain,(
% 59.37/10.02    spl2737_1870),
% 59.37/10.02    inference(avatar_split_clause,[],[f62046,f73925])).
% 59.37/10.02  tff(f62046,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP451(X0,X1) | one_one(nat) = X0) )),
% 59.37/10.02    inference(forward_demodulation,[],[f48262,f35397])).
% 59.37/10.02  tff(f48262,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (sP451(X0,X1) | one_one(nat) = X0 | zero_zero(nat) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33077])).
% 59.37/10.02  tff(f73873,plain,(
% 59.37/10.02    spl2737_1869 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f62017,f73619,f73871])).
% 59.37/10.02  tff(f73871,plain,(
% 59.37/10.02    spl2737_1869 <=> ! [X1 : bool] : (pp(X1) | ~sP442(one_one(nat),X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1869])])).
% 59.37/10.02  tff(f62017,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | pp(X1) | ~sP442(one_one(nat),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53581,f35397])).
% 59.37/10.02  tff(f53581,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (pp(X1) | zero_zero(nat) = one_one(nat) | ~sP442(one_one(nat),X1)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48227])).
% 59.37/10.02  tff(f48227,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0 | ~sP442(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33050])).
% 59.37/10.02  tff(f33050,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((sP442(X0,X1) | ((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0)) & ((one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0 | ~sP442(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f33049])).
% 59.37/10.02  tff(f33049,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP442(X1,X4) | ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1)) & ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1 | ~sP442(X1,X4)))),
% 59.37/10.02    inference(flattening,[],[f33048])).
% 59.37/10.02  tff(f33048,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP442(X1,X4) | ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1)) & (((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1) | ~sP442(X1,X4)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27747])).
% 59.37/10.02  tff(f27747,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : (sP442(X1,X4) <=> ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP442])])).
% 59.37/10.02  tff(f73868,plain,(
% 59.37/10.02    spl2737_1868 | ~spl2737_1843 | ~spl2737_1866),
% 59.37/10.02    inference(avatar_split_clause,[],[f73859,f73855,f73619,f73866])).
% 59.37/10.02  tff(f73866,plain,(
% 59.37/10.02    spl2737_1868 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | ~sP442(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1868])])).
% 59.37/10.02  tff(f73855,plain,(
% 59.37/10.02    spl2737_1866 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP442(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1866])])).
% 59.37/10.02  tff(f73859,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | ~sP442(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1866)),
% 59.37/10.02    inference(duplicate_literal_removal,[],[f73858])).
% 59.37/10.02  tff(f73858,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | size_num(one2) = X0 | ~sP442(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1866)),
% 59.37/10.02    inference(forward_demodulation,[],[f73856,f73621])).
% 59.37/10.02  tff(f73856,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP442(X0,X1)) ) | ~spl2737_1866),
% 59.37/10.02    inference(avatar_component_clause,[],[f73855])).
% 59.37/10.02  tff(f73864,plain,(
% 59.37/10.02    spl2737_1867 | ~spl2737_182 | ~spl2737_938),
% 59.37/10.02    inference(avatar_split_clause,[],[f69163,f68809,f65129,f73861])).
% 59.37/10.02  tff(f73861,plain,(
% 59.37/10.02    spl2737_1867 <=> sP142(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1867])])).
% 59.37/10.02  tff(f69163,plain,(
% 59.37/10.02    sP142(real) | (~spl2737_182 | ~spl2737_938)),
% 59.37/10.02    inference(resolution,[],[f68810,f65131])).
% 59.37/10.02  tff(f73857,plain,(
% 59.37/10.02    spl2737_1866),
% 59.37/10.02    inference(avatar_split_clause,[],[f62016,f73855])).
% 59.37/10.02  tff(f62016,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP442(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f48228,f35397])).
% 59.37/10.02  tff(f48228,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP442(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33050])).
% 59.37/10.02  tff(f73805,plain,(
% 59.37/10.02    spl2737_1865 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f61826,f73619,f73803])).
% 59.37/10.02  tff(f73803,plain,(
% 59.37/10.02    spl2737_1865 <=> ! [X1 : bool] : (sP414(one_one(nat),X1) | pp(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1865])])).
% 59.37/10.02  tff(f61826,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | sP414(one_one(nat),X1) | pp(X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53559,f35397])).
% 59.37/10.02  tff(f53559,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (sP414(one_one(nat),X1) | pp(X1) | zero_zero(nat) = one_one(nat)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48098])).
% 59.37/10.02  tff(f48098,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (sP414(X0,X1) | pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32918])).
% 59.37/10.02  tff(f32918,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((sP414(X0,X1) | (one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0) & (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP414(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32917])).
% 59.37/10.02  tff(f32917,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP414(X1,X4) | (one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1) & (((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP414(X1,X4)))),
% 59.37/10.02    inference(flattening,[],[f32916])).
% 59.37/10.02  tff(f32916,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP414(X1,X4) | ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1)) & (((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP414(X1,X4)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27714])).
% 59.37/10.02  tff(f27714,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : (sP414(X1,X4) <=> ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP414])])).
% 59.37/10.02  tff(f73800,plain,(
% 59.37/10.02    spl2737_1864 | ~spl2737_1843 | ~spl2737_1863),
% 59.37/10.02    inference(avatar_split_clause,[],[f73796,f73792,f73619,f73798])).
% 59.37/10.02  tff(f73798,plain,(
% 59.37/10.02    spl2737_1864 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP414(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1864])])).
% 59.37/10.02  tff(f73792,plain,(
% 59.37/10.02    spl2737_1863 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP414(X0,X1) | one_one(nat) = X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1863])])).
% 59.37/10.02  tff(f73796,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP414(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1863)),
% 59.37/10.02    inference(duplicate_literal_removal,[],[f73795])).
% 59.37/10.02  tff(f73795,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | size_num(one2) = X0 | sP414(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1863)),
% 59.37/10.02    inference(forward_demodulation,[],[f73793,f73621])).
% 59.37/10.02  tff(f73793,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP414(X0,X1) | one_one(nat) = X0) ) | ~spl2737_1863),
% 59.37/10.02    inference(avatar_component_clause,[],[f73792])).
% 59.37/10.02  tff(f73794,plain,(
% 59.37/10.02    spl2737_1863),
% 59.37/10.02    inference(avatar_split_clause,[],[f61825,f73792])).
% 59.37/10.02  tff(f61825,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | sP414(X0,X1) | one_one(nat) = X0) )),
% 59.37/10.02    inference(forward_demodulation,[],[f48099,f35397])).
% 59.37/10.02  tff(f48099,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (sP414(X0,X1) | one_one(nat) = X0 | zero_zero(nat) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32918])).
% 59.37/10.02  tff(f73746,plain,(
% 59.37/10.02    spl2737_1862 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f61802,f73619,f73744])).
% 59.37/10.02  tff(f73744,plain,(
% 59.37/10.02    spl2737_1862 <=> ! [X1 : bool] : (pp(X1) | ~sP408(one_one(nat),X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1862])])).
% 59.37/10.02  tff(f61802,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | pp(X1) | ~sP408(one_one(nat),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53557,f35397])).
% 59.37/10.02  tff(f53557,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (pp(X1) | zero_zero(nat) = one_one(nat) | ~sP408(one_one(nat),X1)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48076])).
% 59.37/10.02  tff(f48076,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0 | ~sP408(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32902])).
% 59.37/10.02  tff(f32902,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((sP408(X0,X1) | ((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0)) & ((one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0 | ~sP408(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32901])).
% 59.37/10.02  tff(f32901,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP408(X1,X4) | ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1)) & ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1 | ~sP408(X1,X4)))),
% 59.37/10.02    inference(flattening,[],[f32900])).
% 59.37/10.02  tff(f32900,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : ((sP408(X1,X4) | ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1)) & (((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1) | ~sP408(X1,X4)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27707])).
% 59.37/10.02  tff(f27707,plain,(
% 59.37/10.02    ! [X1 : nat,X4 : bool] : (sP408(X1,X4) <=> ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP408])])).
% 59.37/10.02  tff(f73742,plain,(
% 59.37/10.02    spl2737_1861 | ~spl2737_180 | ~spl2737_938),
% 59.37/10.02    inference(avatar_split_clause,[],[f69162,f68809,f65119,f73739])).
% 59.37/10.02  tff(f73739,plain,(
% 59.37/10.02    spl2737_1861 <=> sP142(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1861])])).
% 59.37/10.02  tff(f69162,plain,(
% 59.37/10.02    sP142(code_integer) | (~spl2737_180 | ~spl2737_938)),
% 59.37/10.02    inference(resolution,[],[f68810,f65121])).
% 59.37/10.02  tff(f73737,plain,(
% 59.37/10.02    spl2737_1860),
% 59.37/10.02    inference(avatar_split_clause,[],[f61801,f73735])).
% 59.37/10.02  tff(f73735,plain,(
% 59.37/10.02    spl2737_1860 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP408(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1860])])).
% 59.37/10.02  tff(f61801,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP408(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f48077,f35397])).
% 59.37/10.02  tff(f48077,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP408(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32902])).
% 59.37/10.02  tff(f73733,plain,(
% 59.37/10.02    spl2737_1859),
% 59.37/10.02    inference(avatar_split_clause,[],[f60802,f73731])).
% 59.37/10.02  tff(f73731,plain,(
% 59.37/10.02    spl2737_1859 <=> ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : aa(nat,X0,rec_nat(X0,X1,X2),size_num(one2)) = X1),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1859])])).
% 59.37/10.02  tff(f60802,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),size_num(one2)) = X1) )),
% 59.37/10.02    inference(forward_demodulation,[],[f47079,f35397])).
% 59.37/10.02  tff(f47079,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : fun(nat,fun(X0,X0)),X1 : X0] : (aa(nat,X0,rec_nat(X0,X1,X2),zero_zero(nat)) = X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f16736])).
% 59.37/10.02  tff(f16736,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : X0,X2 : fun(nat,fun(X0,X0))] : aa(nat,X0,rec_nat(X0,X1,X2),zero_zero(nat)) = X1),
% 59.37/10.02    inference(rectify,[],[f4330])).
% 59.37/10.02  tff(f4330,axiom,(
% 59.37/10.02    ! [X4 : $tType,X232 : X4,X233 : fun(nat,fun(X4,X4))] : aa(nat,X4,rec_nat(X4,X232,X233),zero_zero(nat)) = X232),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4329_old_Onat_Osimps_I6_J)).
% 59.37/10.02  tff(f73729,plain,(
% 59.37/10.02    spl2737_1858),
% 59.37/10.02    inference(avatar_split_clause,[],[f60801,f73727])).
% 59.37/10.02  tff(f73727,plain,(
% 59.37/10.02    spl2737_1858 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),size_num(one2),X0,X1),X2)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1858])])).
% 59.37/10.02  tff(f60801,plain,(
% 59.37/10.02    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),size_num(one2),X0,X1),X2)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f47078,f35397])).
% 59.37/10.02  tff(f47078,plain,(
% 59.37/10.02    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X0,X1),X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f16735])).
% 59.37/10.02  tff(f16735,plain,(
% 59.37/10.02    ! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X2 : nat] : ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X0,X1),X2)),
% 59.37/10.02    inference(rectify,[],[f468])).
% 59.37/10.02  tff(f468,axiom,(
% 59.37/10.02    ! [X100 : list(vEBT_VEBT),X101 : vEBT_VEBT,X102 : nat] : ~vEBT_VEBT_membermima(vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X100,X101),X102)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_467_VEBT__internal_Omembermima_Osimps_I2_J)).
% 59.37/10.02  tff(f73725,plain,(
% 59.37/10.02    spl2737_1857),
% 59.37/10.02    inference(avatar_split_clause,[],[f60477,f73723])).
% 59.37/10.02  tff(f73723,plain,(
% 59.37/10.02    spl2737_1857 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | size_num(one2) = X1 | ~sP362(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1857])])).
% 59.37/10.02  tff(f60477,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | size_num(one2) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60476,f54053])).
% 59.37/10.02  tff(f60476,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | size_num(one2) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60475,f35397])).
% 59.37/10.02  tff(f60475,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46818,f35397])).
% 59.37/10.02  tff(f46818,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32316])).
% 59.37/10.02  tff(f32316,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : nat] : ((sP362(X0,X1) | ((aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) & (zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1))) & ((aa(nat,nat,suc,zero_zero(nat)) = X0 & zero_zero(nat) = X1) | (zero_zero(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1) | ~sP362(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32315])).
% 59.37/10.02  tff(f32315,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : nat] : ((sP362(X1,X0) | ((aa(nat,nat,suc,zero_zero(nat)) != X1 | zero_zero(nat) != X0) & (zero_zero(nat) != X1 | aa(nat,nat,suc,zero_zero(nat)) != X0))) & ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | ~sP362(X1,X0)))),
% 59.37/10.02    inference(flattening,[],[f32314])).
% 59.37/10.02  tff(f32314,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : nat] : ((sP362(X1,X0) | ((aa(nat,nat,suc,zero_zero(nat)) != X1 | zero_zero(nat) != X0) & (zero_zero(nat) != X1 | aa(nat,nat,suc,zero_zero(nat)) != X0))) & (((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)) | ~sP362(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27636])).
% 59.37/10.02  tff(f73721,plain,(
% 59.37/10.02    spl2737_1856),
% 59.37/10.02    inference(avatar_split_clause,[],[f60474,f73719])).
% 59.37/10.02  tff(f73719,plain,(
% 59.37/10.02    spl2737_1856 <=> ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | size_num(one2) = X1 | ~sP362(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1856])])).
% 59.37/10.02  tff(f60474,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | size_num(one2) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60473,f35397])).
% 59.37/10.02  tff(f60473,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X1 | zero_zero(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46819,f35397])).
% 59.37/10.02  tff(f46819,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32316])).
% 59.37/10.02  tff(f73717,plain,(
% 59.37/10.02    spl2737_1855),
% 59.37/10.02    inference(avatar_split_clause,[],[f60472,f73715])).
% 59.37/10.02  tff(f73715,plain,(
% 59.37/10.02    spl2737_1855 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | one_one(nat) = X0 | ~sP362(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1855])])).
% 59.37/10.02  tff(f60472,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | one_one(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60471,f54053])).
% 59.37/10.02  tff(f60471,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | one_one(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60470,f35397])).
% 59.37/10.02  tff(f60470,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60469,f54053])).
% 59.37/10.02  tff(f60469,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46820,f35397])).
% 59.37/10.02  tff(f46820,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32316])).
% 59.37/10.02  tff(f73713,plain,(
% 59.37/10.02    spl2737_1854),
% 59.37/10.02    inference(avatar_split_clause,[],[f60468,f73711])).
% 59.37/10.02  tff(f73711,plain,(
% 59.37/10.02    spl2737_1854 <=> ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP362(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1854])])).
% 59.37/10.02  tff(f60468,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60467,f35397])).
% 59.37/10.02  tff(f60467,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60466,f54053])).
% 59.37/10.02  tff(f60466,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X0 | zero_zero(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46821,f35397])).
% 59.37/10.02  tff(f46821,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X0 | ~sP362(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32316])).
% 59.37/10.02  tff(f73709,plain,(
% 59.37/10.02    spl2737_1853),
% 59.37/10.02    inference(avatar_split_clause,[],[f60455,f73707])).
% 59.37/10.02  tff(f73707,plain,(
% 59.37/10.02    spl2737_1853 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | size_num(one2) = X1 | ~sP361(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1853])])).
% 59.37/10.02  tff(f60455,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | size_num(one2) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60454,f54053])).
% 59.37/10.02  tff(f60454,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | size_num(one2) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60453,f35397])).
% 59.37/10.02  tff(f60453,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46810,f35397])).
% 59.37/10.02  tff(f46810,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32312])).
% 59.37/10.02  tff(f32312,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : nat] : ((sP361(X0,X1) | ((aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) & (zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1))) & ((aa(nat,nat,suc,zero_zero(nat)) = X0 & zero_zero(nat) = X1) | (zero_zero(nat) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1) | ~sP361(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32311])).
% 59.37/10.02  tff(f32311,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : nat] : ((sP361(X1,X0) | ((aa(nat,nat,suc,zero_zero(nat)) != X1 | zero_zero(nat) != X0) & (zero_zero(nat) != X1 | aa(nat,nat,suc,zero_zero(nat)) != X0))) & ((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0) | ~sP361(X1,X0)))),
% 59.37/10.02    inference(flattening,[],[f32310])).
% 59.37/10.02  tff(f32310,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : nat] : ((sP361(X1,X0) | ((aa(nat,nat,suc,zero_zero(nat)) != X1 | zero_zero(nat) != X0) & (zero_zero(nat) != X1 | aa(nat,nat,suc,zero_zero(nat)) != X0))) & (((aa(nat,nat,suc,zero_zero(nat)) = X1 & zero_zero(nat) = X0) | (zero_zero(nat) = X1 & aa(nat,nat,suc,zero_zero(nat)) = X0)) | ~sP361(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27634])).
% 59.37/10.02  tff(f73705,plain,(
% 59.37/10.02    spl2737_1852),
% 59.37/10.02    inference(avatar_split_clause,[],[f60452,f73703])).
% 59.37/10.02  tff(f73703,plain,(
% 59.37/10.02    spl2737_1852 <=> ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | size_num(one2) = X1 | ~sP361(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1852])])).
% 59.37/10.02  tff(f60452,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | size_num(one2) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60451,f35397])).
% 59.37/10.02  tff(f60451,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X1 | zero_zero(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46811,f35397])).
% 59.37/10.02  tff(f46811,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = X1 | zero_zero(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32312])).
% 59.37/10.02  tff(f73701,plain,(
% 59.37/10.02    spl2737_1851),
% 59.37/10.02    inference(avatar_split_clause,[],[f60450,f73699])).
% 59.37/10.02  tff(f73699,plain,(
% 59.37/10.02    spl2737_1851 <=> ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | one_one(nat) = X0 | ~sP361(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1851])])).
% 59.37/10.02  tff(f60450,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X1 | one_one(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60449,f54053])).
% 59.37/10.02  tff(f60449,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | one_one(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60448,f35397])).
% 59.37/10.02  tff(f60448,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60447,f54053])).
% 59.37/10.02  tff(f60447,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46812,f35397])).
% 59.37/10.02  tff(f46812,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32312])).
% 59.37/10.02  tff(f73697,plain,(
% 59.37/10.02    spl2737_1850 | ~spl2737_183 | ~spl2737_937),
% 59.37/10.02    inference(avatar_split_clause,[],[f69161,f68805,f65134,f73694])).
% 59.37/10.02  tff(f73694,plain,(
% 59.37/10.02    spl2737_1850 <=> sP140(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1850])])).
% 59.37/10.02  tff(f68805,plain,(
% 59.37/10.02    spl2737_937 <=> ! [X0 : $tType] : (sP140(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_937])])).
% 59.37/10.02  tff(f69161,plain,(
% 59.37/10.02    sP140(int) | (~spl2737_183 | ~spl2737_937)),
% 59.37/10.02    inference(resolution,[],[f68806,f65136])).
% 59.37/10.02  tff(f68806,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP140(X0)) ) | ~spl2737_937),
% 59.37/10.02    inference(avatar_component_clause,[],[f68805])).
% 59.37/10.02  tff(f73692,plain,(
% 59.37/10.02    spl2737_1849),
% 59.37/10.02    inference(avatar_split_clause,[],[f60446,f73690])).
% 59.37/10.02  tff(f73690,plain,(
% 59.37/10.02    spl2737_1849 <=> ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP361(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1849])])).
% 59.37/10.02  tff(f60446,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60445,f35397])).
% 59.37/10.02  tff(f60445,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f60444,f54053])).
% 59.37/10.02  tff(f60444,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X0 | zero_zero(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46813,f35397])).
% 59.37/10.02  tff(f46813,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X0 | zero_zero(nat) = X0 | ~sP361(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32312])).
% 59.37/10.02  tff(f73687,plain,(
% 59.37/10.02    spl2737_1848 | ~spl2737_1843 | ~spl2737_1847),
% 59.37/10.02    inference(avatar_split_clause,[],[f73683,f73679,f73619,f73685])).
% 59.37/10.02  tff(f73685,plain,(
% 59.37/10.02    spl2737_1848 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | ~sP310(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1848])])).
% 59.37/10.02  tff(f73679,plain,(
% 59.37/10.02    spl2737_1847 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP310(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1847])])).
% 59.37/10.02  tff(f73683,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | ~sP310(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1847)),
% 59.37/10.02    inference(duplicate_literal_removal,[],[f73682])).
% 59.37/10.02  tff(f73682,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | size_num(one2) = X0 | ~sP310(X0,X1)) ) | (~spl2737_1843 | ~spl2737_1847)),
% 59.37/10.02    inference(forward_demodulation,[],[f73680,f73621])).
% 59.37/10.02  tff(f73680,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP310(X0,X1)) ) | ~spl2737_1847),
% 59.37/10.02    inference(avatar_component_clause,[],[f73679])).
% 59.37/10.02  tff(f73681,plain,(
% 59.37/10.02    spl2737_1847),
% 59.37/10.02    inference(avatar_split_clause,[],[f58906,f73679])).
% 59.37/10.02  tff(f58906,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP310(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f45189,f35397])).
% 59.37/10.02  tff(f45189,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP310(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31409])).
% 59.37/10.02  tff(f73635,plain,(
% 59.37/10.02    spl2737_1846 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f58905,f73619,f73633])).
% 59.37/10.02  tff(f73633,plain,(
% 59.37/10.02    spl2737_1846 <=> ! [X1 : bool] : (pp(X1) | ~sP306(one_one(nat),X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1846])])).
% 59.37/10.02  tff(f58905,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | pp(X1) | ~sP306(one_one(nat),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53208,f35397])).
% 59.37/10.02  tff(f53208,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (pp(X1) | zero_zero(nat) = one_one(nat) | ~sP306(one_one(nat),X1)) )),
% 59.37/10.02    inference(equality_resolution,[],[f45181])).
% 59.37/10.02  tff(f45181,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0 | ~sP306(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31402])).
% 59.37/10.02  tff(f31402,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0 | ~sP306(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31401])).
% 59.37/10.02  tff(f31401,plain,(
% 59.37/10.02    ! [X1 : nat,X3 : bool] : ((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1 | ~sP306(X1,X3))),
% 59.37/10.02    inference(nnf_transformation,[],[f27552])).
% 59.37/10.02  tff(f27552,plain,(
% 59.37/10.02    ! [X1 : nat,X3 : bool] : ((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1 | ~sP306(X1,X3))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP306])])).
% 59.37/10.02  tff(f73631,plain,(
% 59.37/10.02    spl2737_1845),
% 59.37/10.02    inference(avatar_split_clause,[],[f58904,f73629])).
% 59.37/10.02  tff(f73629,plain,(
% 59.37/10.02    spl2737_1845 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP306(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1845])])).
% 59.37/10.02  tff(f58904,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP306(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f45182,f35397])).
% 59.37/10.02  tff(f45182,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP306(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31402])).
% 59.37/10.02  tff(f73627,plain,(
% 59.37/10.02    spl2737_1844),
% 59.37/10.02    inference(avatar_split_clause,[],[f58505,f73625])).
% 59.37/10.02  tff(f73625,plain,(
% 59.37/10.02    spl2737_1844 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP275(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1844])])).
% 59.37/10.02  tff(f58505,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP275(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f44920,f35397])).
% 59.37/10.02  tff(f44920,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP275(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31221])).
% 59.37/10.02  tff(f73622,plain,(
% 59.37/10.02    spl2737_1842 | spl2737_1843),
% 59.37/10.02    inference(avatar_split_clause,[],[f58492,f73619,f73616])).
% 59.37/10.02  tff(f73616,plain,(
% 59.37/10.02    spl2737_1842 <=> ! [X1 : bool] : (pp(X1) | ~sP273(one_one(nat),X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1842])])).
% 59.37/10.02  tff(f58492,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (one_one(nat) = size_num(one2) | pp(X1) | ~sP273(one_one(nat),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53180,f35397])).
% 59.37/10.02  tff(f53180,plain,(
% 59.37/10.02    ( ! [X1 : bool] : (pp(X1) | zero_zero(nat) = one_one(nat) | ~sP273(one_one(nat),X1)) )),
% 59.37/10.02    inference(equality_resolution,[],[f44911])).
% 59.37/10.02  tff(f44911,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | zero_zero(nat) = X0 | ~sP273(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31214])).
% 59.37/10.02  tff(f31214,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool] : ((one_one(nat) = X0 & (pp(X1) | one_one(nat) != X0)) | zero_zero(nat) = X0 | ~sP273(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31213])).
% 59.37/10.02  tff(f31213,plain,(
% 59.37/10.02    ! [X1 : nat,X3 : bool] : ((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1 | ~sP273(X1,X3))),
% 59.37/10.02    inference(nnf_transformation,[],[f27503])).
% 59.37/10.02  tff(f27503,plain,(
% 59.37/10.02    ! [X1 : nat,X3 : bool] : ((one_one(nat) = X1 & (pp(X3) | one_one(nat) != X1)) | zero_zero(nat) = X1 | ~sP273(X1,X3))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP273])])).
% 59.37/10.02  tff(f73614,plain,(
% 59.37/10.02    spl2737_1841 | ~spl2737_181 | ~spl2737_937),
% 59.37/10.02    inference(avatar_split_clause,[],[f69160,f68805,f65124,f73611])).
% 59.37/10.02  tff(f73611,plain,(
% 59.37/10.02    spl2737_1841 <=> sP140(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1841])])).
% 59.37/10.02  tff(f69160,plain,(
% 59.37/10.02    sP140(rat) | (~spl2737_181 | ~spl2737_937)),
% 59.37/10.02    inference(resolution,[],[f68806,f65126])).
% 59.37/10.02  tff(f73609,plain,(
% 59.37/10.02    spl2737_1840),
% 59.37/10.02    inference(avatar_split_clause,[],[f58491,f73607])).
% 59.37/10.02  tff(f73607,plain,(
% 59.37/10.02    spl2737_1840 <=> ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP273(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1840])])).
% 59.37/10.02  tff(f58491,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (size_num(one2) = X0 | one_one(nat) = X0 | ~sP273(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f44912,f35397])).
% 59.37/10.02  tff(f44912,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : bool] : (one_one(nat) = X0 | zero_zero(nat) = X0 | ~sP273(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31214])).
% 59.37/10.02  tff(f73605,plain,(
% 59.37/10.02    spl2737_1839),
% 59.37/10.02    inference(avatar_split_clause,[],[f57504,f73603])).
% 59.37/10.02  tff(f73603,plain,(
% 59.37/10.02    spl2737_1839 <=> ! [X0 : $tType,X1 : X0] : size_num(one2) = aa(X0,nat,count_list(X0,nil(X0)),X1)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1839])])).
% 59.37/10.02  tff(f57504,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (size_num(one2) = aa(X0,nat,count_list(X0,nil(X0)),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f43546,f35397])).
% 59.37/10.02  tff(f43546,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(nat) = aa(X0,nat,count_list(X0,nil(X0)),X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14729])).
% 59.37/10.02  tff(f14729,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : X0] : zero_zero(nat) = aa(X0,nat,count_list(X0,nil(X0)),X1)),
% 59.37/10.02    inference(rectify,[],[f4991])).
% 59.37/10.02  tff(f4991,axiom,(
% 59.37/10.02    ! [X0 : $tType,X15 : X0] : zero_zero(nat) = aa(X0,nat,count_list(X0,nil(X0)),X15)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4990_count__list_Osimps_I1_J)).
% 59.37/10.02  tff(f73601,plain,(
% 59.37/10.02    spl2737_1838),
% 59.37/10.02    inference(avatar_split_clause,[],[f57503,f73599])).
% 59.37/10.02  tff(f73599,plain,(
% 59.37/10.02    spl2737_1838 <=> ! [X0 : bool,X1 : bool] : size_num(one2) = aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1838])])).
% 59.37/10.02  tff(f57503,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : bool] : (size_num(one2) = aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(X0,X1))) )),
% 59.37/10.02    inference(forward_demodulation,[],[f43545,f35397])).
% 59.37/10.02  tff(f43545,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : bool] : (zero_zero(nat) = aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(X0,X1))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14728])).
% 59.37/10.02  tff(f14728,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : bool] : zero_zero(nat) = aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f2591])).
% 59.37/10.02  tff(f2591,axiom,(
% 59.37/10.02    ! [X84 : bool,X85 : bool] : zero_zero(nat) = aa(vEBT_VEBT,nat,size_size(vEBT_VEBT),vEBT_Leaf(X84,X85))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2590_VEBT_Osize_I4_J)).
% 59.37/10.02  tff(f73597,plain,(
% 59.37/10.02    spl2737_1837),
% 59.37/10.02    inference(avatar_split_clause,[],[f57502,f73595])).
% 59.37/10.02  tff(f73595,plain,(
% 59.37/10.02    spl2737_1837 <=> ! [X0 : $tType,X1 : option(X0)] : size_num(one2) != aa(option(X0),nat,size_size(option(X0)),X1)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1837])])).
% 59.37/10.02  tff(f57502,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : option(X0)] : (size_num(one2) != aa(option(X0),nat,size_size(option(X0)),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f43544,f35397])).
% 59.37/10.02  tff(f43544,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : option(X0)] : (zero_zero(nat) != aa(option(X0),nat,size_size(option(X0)),X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14727])).
% 59.37/10.02  tff(f14727,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : option(X0)] : zero_zero(nat) != aa(option(X0),nat,size_size(option(X0)),X1)),
% 59.37/10.02    inference(rectify,[],[f2655])).
% 59.37/10.02  tff(f2655,axiom,(
% 59.37/10.02    ! [X0 : $tType,X14 : option(X0)] : zero_zero(nat) != aa(option(X0),nat,size_size(option(X0)),X14)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2654_option_Osize__neq)).
% 59.37/10.02  tff(f73593,plain,(
% 59.37/10.02    spl2737_1836),
% 59.37/10.02    inference(avatar_split_clause,[],[f56236,f73591])).
% 59.37/10.02  tff(f73591,plain,(
% 59.37/10.02    spl2737_1836 <=> ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),one2) | ~semiring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1836])])).
% 59.37/10.02  tff(f56236,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),one2) | ~semiring_1(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f56235,f54031])).
% 59.37/10.02  tff(f54031,plain,(
% 59.37/10.02    one2 = aa(nat,num,num_of_nat,size_num(one2))),
% 59.37/10.02    inference(forward_demodulation,[],[f35434,f35397])).
% 59.37/10.02  tff(f35434,plain,(
% 59.37/10.02    one2 = aa(nat,num,num_of_nat,zero_zero(nat))),
% 59.37/10.02    inference(cnf_transformation,[],[f4773])).
% 59.37/10.02  tff(f4773,axiom,(
% 59.37/10.02    one2 = aa(nat,num,num_of_nat,zero_zero(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4772_num__of__nat_Osimps_I1_J)).
% 59.37/10.02  tff(f56235,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,size_num(one2))) | ~semiring_1(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53004,f35397])).
% 59.37/10.02  tff(f53004,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,zero_zero(nat))) | ~semiring_1(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f41518])).
% 59.37/10.02  tff(f41518,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : nat] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,X1)) | zero_zero(nat) != X1 | ~semiring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21965])).
% 59.37/10.02  tff(f21965,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : nat] : ((aa(nat,X0,semiring_1_of_nat(X0),X1) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,X1)) | zero_zero(nat) = X1) & (one_one(X0) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,X1)) | zero_zero(nat) != X1)) | ~semiring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13425])).
% 59.37/10.02  tff(f13425,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : nat] : ((zero_zero(nat) != X1 => aa(nat,X0,semiring_1_of_nat(X0),X1) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,X1))) & (zero_zero(nat) = X1 => one_one(X0) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,X1)))))),
% 59.37/10.02    inference(rectify,[],[f4778])).
% 59.37/10.02  tff(f4778,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_1(X0) => ! [X8 : nat] : ((zero_zero(nat) != X8 => aa(nat,X0,semiring_1_of_nat(X0),X8) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,X8))) & (zero_zero(nat) = X8 => one_one(X0) = aa(num,X0,numeral_numeral(X0),aa(nat,num,num_of_nat,X8)))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4777_numeral__num__of__nat__unfold)).
% 59.37/10.02  tff(f73589,plain,(
% 59.37/10.02    spl2737_1835),
% 59.37/10.02    inference(avatar_split_clause,[],[f55600,f73587])).
% 59.37/10.02  tff(f73587,plain,(
% 59.37/10.02    spl2737_1835 <=> ! [X0 : $tType] : (id(X0) = bit_se4730199178511100633sh_bit(X0,size_num(one2)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1835])])).
% 59.37/10.02  tff(f55600,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (id(X0) = bit_se4730199178511100633sh_bit(X0,size_num(one2)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f39850,f35397])).
% 59.37/10.02  tff(f39850,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (id(X0) = bit_se4730199178511100633sh_bit(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20684])).
% 59.37/10.02  tff(f20684,plain,(
% 59.37/10.02    ! [X0 : $tType] : (id(X0) = bit_se4730199178511100633sh_bit(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5023])).
% 59.37/10.02  tff(f5023,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => id(X0) = bit_se4730199178511100633sh_bit(X0,zero_zero(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5022_push__bit__0__id)).
% 59.37/10.02  tff(f73585,plain,(
% 59.37/10.02    spl2737_1834),
% 59.37/10.02    inference(avatar_split_clause,[],[f55599,f73583])).
% 59.37/10.02  tff(f73583,plain,(
% 59.37/10.02    spl2737_1834 <=> ! [X0 : $tType] : (id(X0) = bit_se4197421643247451524op_bit(X0,size_num(one2)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1834])])).
% 59.37/10.02  tff(f55599,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (id(X0) = bit_se4197421643247451524op_bit(X0,size_num(one2)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f39849,f35397])).
% 59.37/10.02  tff(f39849,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (id(X0) = bit_se4197421643247451524op_bit(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20683])).
% 59.37/10.02  tff(f20683,plain,(
% 59.37/10.02    ! [X0 : $tType] : (id(X0) = bit_se4197421643247451524op_bit(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5024])).
% 59.37/10.02  tff(f5024,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => id(X0) = bit_se4197421643247451524op_bit(X0,zero_zero(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5023_drop__bit__0)).
% 59.37/10.02  tff(f73581,plain,(
% 59.37/10.02    spl2737_1833),
% 59.37/10.02    inference(avatar_split_clause,[],[f55569,f73579])).
% 59.37/10.02  tff(f73579,plain,(
% 59.37/10.02    spl2737_1833 <=> ! [X0 : $tType] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,size_num(one2),one_one(X0)) | ~bit_un5681908812861735899ations(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1833])])).
% 59.37/10.02  tff(f55569,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,size_num(one2),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f52793,f35397])).
% 59.37/10.02  tff(f52793,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,zero_zero(nat),one_one(X0)) | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f39575])).
% 59.37/10.02  tff(f39575,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,one_one(X0)) | zero_zero(nat) != X1 | ~bit_un5681908812861735899ations(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f29112])).
% 59.37/10.02  tff(f73577,plain,(
% 59.37/10.02    spl2737_1832),
% 59.37/10.02    inference(avatar_split_clause,[],[f54366,f73575])).
% 59.37/10.02  tff(f54366,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (pp(aa(set(nat),bool,finite_finite(nat),order_underS(nat,bNF_Ca8665028551170535155natLeq,X0)))) )),
% 59.37/10.02    inference(forward_demodulation,[],[f36069,f36051])).
% 59.37/10.02  tff(f36069,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (pp(aa(set(nat),bool,finite_finite(nat),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0))))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10229])).
% 59.37/10.02  tff(f10229,plain,(
% 59.37/10.02    ! [X0 : nat] : pp(aa(set(nat),bool,finite_finite(nat),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X0))))),
% 59.37/10.02    inference(rectify,[],[f4067])).
% 59.37/10.02  tff(f4067,axiom,(
% 59.37/10.02    ! [X18 : nat] : pp(aa(set(nat),bool,finite_finite(nat),collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aa(nat,fun(nat,bool)),X18))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4066_finite__Collect__less__nat)).
% 59.37/10.02  tff(f73573,plain,(
% 59.37/10.02    spl2737_1831),
% 59.37/10.02    inference(avatar_split_clause,[],[f54261,f73571])).
% 59.37/10.02  tff(f54261,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (aa(int,nat,nat2,aa(nat,int,code_T6385005292777649522of_nat,X0)) = X0) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35864,f35405])).
% 59.37/10.02  tff(f35864,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (aa(int,nat,nat2,aa(nat,int,semiring_1_of_nat(int),X0)) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10030])).
% 59.37/10.02  tff(f10030,plain,(
% 59.37/10.02    ! [X0 : nat] : aa(int,nat,nat2,aa(nat,int,semiring_1_of_nat(int),X0)) = X0),
% 59.37/10.02    inference(rectify,[],[f311])).
% 59.37/10.02  tff(f311,axiom,(
% 59.37/10.02    ! [X8 : nat] : aa(int,nat,nat2,aa(nat,int,semiring_1_of_nat(int),X8)) = X8),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_nat__int)).
% 59.37/10.02  tff(f73569,plain,(
% 59.37/10.02    spl2737_1830 | ~spl2737_182 | ~spl2737_937),
% 59.37/10.02    inference(avatar_split_clause,[],[f69159,f68805,f65129,f73566])).
% 59.37/10.02  tff(f73566,plain,(
% 59.37/10.02    spl2737_1830 <=> sP140(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1830])])).
% 59.37/10.02  tff(f69159,plain,(
% 59.37/10.02    sP140(real) | (~spl2737_182 | ~spl2737_937)),
% 59.37/10.02    inference(resolution,[],[f68806,f65131])).
% 59.37/10.02  tff(f73564,plain,(
% 59.37/10.02    spl2737_1829),
% 59.37/10.02    inference(avatar_split_clause,[],[f54260,f73562])).
% 59.37/10.02  tff(f73562,plain,(
% 59.37/10.02    spl2737_1829 <=> ! [X0 : code_integer] : aa(int,code_integer,code_integer_of_int,aa(code_integer,int,code_int_of_integer,X0)) = X0),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1829])])).
% 59.37/10.02  tff(f54260,plain,(
% 59.37/10.02    ( ! [X0 : code_integer] : (aa(int,code_integer,code_integer_of_int,aa(code_integer,int,code_int_of_integer,X0)) = X0) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35863,f35402])).
% 59.37/10.02  tff(f35402,plain,(
% 59.37/10.02    code_integer_of_int = ring_1_of_int(code_integer)),
% 59.37/10.02    inference(cnf_transformation,[],[f4393])).
% 59.37/10.02  tff(f4393,axiom,(
% 59.37/10.02    code_integer_of_int = ring_1_of_int(code_integer)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4392_integer__of__int__eq__of__int)).
% 59.37/10.02  tff(f35863,plain,(
% 59.37/10.02    ( ! [X0 : code_integer] : (aa(int,code_integer,ring_1_of_int(code_integer),aa(code_integer,int,code_int_of_integer,X0)) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10029])).
% 59.37/10.02  tff(f10029,plain,(
% 59.37/10.02    ! [X0 : code_integer] : aa(int,code_integer,ring_1_of_int(code_integer),aa(code_integer,int,code_int_of_integer,X0)) = X0),
% 59.37/10.02    inference(rectify,[],[f4688])).
% 59.37/10.02  tff(f4688,axiom,(
% 59.37/10.02    ! [X18 : code_integer] : aa(int,code_integer,ring_1_of_int(code_integer),aa(code_integer,int,code_int_of_integer,X18)) = X18),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4687_of__int__integer__of)).
% 59.37/10.02  tff(f73560,plain,(
% 59.37/10.02    spl2737_1828),
% 59.37/10.02    inference(avatar_split_clause,[],[f54259,f73558])).
% 59.37/10.02  tff(f73558,plain,(
% 59.37/10.02    spl2737_1828 <=> ! [X0 : int] : aa(code_integer,int,code_int_of_integer,aa(int,code_integer,code_integer_of_int,X0)) = X0),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1828])])).
% 59.37/10.02  tff(f54259,plain,(
% 59.37/10.02    ( ! [X0 : int] : (aa(code_integer,int,code_int_of_integer,aa(int,code_integer,code_integer_of_int,X0)) = X0) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35862,f35402])).
% 59.37/10.02  tff(f35862,plain,(
% 59.37/10.02    ( ! [X0 : int] : (aa(code_integer,int,code_int_of_integer,aa(int,code_integer,ring_1_of_int(code_integer),X0)) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10028])).
% 59.37/10.02  tff(f10028,plain,(
% 59.37/10.02    ! [X0 : int] : aa(code_integer,int,code_int_of_integer,aa(int,code_integer,ring_1_of_int(code_integer),X0)) = X0),
% 59.37/10.02    inference(rectify,[],[f4689])).
% 59.37/10.02  tff(f4689,axiom,(
% 59.37/10.02    ! [X18 : int] : aa(code_integer,int,code_int_of_integer,aa(int,code_integer,ring_1_of_int(code_integer),X18)) = X18),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4688_int__of__integer__of__int)).
% 59.37/10.02  tff(f73556,plain,(
% 59.37/10.02    spl2737_1827),
% 59.37/10.02    inference(avatar_split_clause,[],[f54249,f73554])).
% 59.37/10.02  tff(f73554,plain,(
% 59.37/10.02    spl2737_1827 <=> ! [X0 : $tType] : size_size(list(X0)) = gen_length(X0,size_num(one2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1827])])).
% 59.37/10.02  tff(f54249,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (size_size(list(X0)) = gen_length(X0,size_num(one2))) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35841,f35397])).
% 59.37/10.02  tff(f35841,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (size_size(list(X0)) = gen_length(X0,zero_zero(nat))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f7141])).
% 59.37/10.02  tff(f7141,axiom,(
% 59.37/10.02    ! [X0 : $tType] : size_size(list(X0)) = gen_length(X0,zero_zero(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7140_length__code)).
% 59.37/10.02  tff(f73552,plain,(
% 59.37/10.02    spl2737_1826),
% 59.37/10.02    inference(avatar_split_clause,[],[f54065,f73549])).
% 59.37/10.02  tff(f73549,plain,(
% 59.37/10.02    spl2737_1826 <=> filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(real))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1826])])).
% 59.37/10.02  tff(f54065,plain,(
% 59.37/10.02    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,im(imaginary_unit)),at_top(real))),
% 59.37/10.02    inference(forward_demodulation,[],[f35494,f35393])).
% 59.37/10.02  tff(f35494,plain,(
% 59.37/10.02    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real))),
% 59.37/10.02    inference(cnf_transformation,[],[f6036])).
% 59.37/10.02  tff(f6036,axiom,(
% 59.37/10.02    filterlim(real,real,tanh(real),topolo7230453075368039082e_nhds(real,one_one(real)),at_top(real))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6035_tanh__real__at__top)).
% 59.37/10.02  tff(f73547,plain,(
% 59.37/10.02    spl2737_1825),
% 59.37/10.02    inference(avatar_split_clause,[],[f54061,f73544])).
% 59.37/10.02  tff(f73544,plain,(
% 59.37/10.02    spl2737_1825 <=> size_num(one2) = aa(set(nat),nat,nat_set_encode,bot_bot(set(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1825])])).
% 59.37/10.02  tff(f54061,plain,(
% 59.37/10.02    size_num(one2) = aa(set(nat),nat,nat_set_encode,bot_bot(set(nat)))),
% 59.37/10.02    inference(forward_demodulation,[],[f35491,f35397])).
% 59.37/10.02  tff(f35491,plain,(
% 59.37/10.02    zero_zero(nat) = aa(set(nat),nat,nat_set_encode,bot_bot(set(nat)))),
% 59.37/10.02    inference(cnf_transformation,[],[f4090])).
% 59.37/10.02  tff(f4090,axiom,(
% 59.37/10.02    zero_zero(nat) = aa(set(nat),nat,nat_set_encode,bot_bot(set(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4089_set__encode__empty)).
% 59.37/10.02  tff(f73542,plain,(
% 59.37/10.02    spl2737_1824),
% 59.37/10.02    inference(avatar_split_clause,[],[f54060,f73539])).
% 59.37/10.02  tff(f73539,plain,(
% 59.37/10.02    spl2737_1824 <=> nil(nat) = aa(nat,list(nat),nat_list_decode,size_num(one2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1824])])).
% 59.37/10.02  tff(f54060,plain,(
% 59.37/10.02    nil(nat) = aa(nat,list(nat),nat_list_decode,size_num(one2))),
% 59.37/10.02    inference(forward_demodulation,[],[f35490,f35397])).
% 59.37/10.02  tff(f35490,plain,(
% 59.37/10.02    nil(nat) = aa(nat,list(nat),nat_list_decode,zero_zero(nat))),
% 59.37/10.02    inference(cnf_transformation,[],[f7131])).
% 59.37/10.02  tff(f7131,axiom,(
% 59.37/10.02    nil(nat) = aa(nat,list(nat),nat_list_decode,zero_zero(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7130_list__decode_Osimps_I1_J)).
% 59.37/10.02  tff(f73537,plain,(
% 59.37/10.02    spl2737_1823),
% 59.37/10.02    inference(avatar_split_clause,[],[f53641,f73535])).
% 59.37/10.02  tff(f73535,plain,(
% 59.37/10.02    spl2737_1823 <=> ! [X0 : $tType,X2 : X0] : ~pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X2),X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1823])])).
% 59.37/10.02  tff(f53641,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0] : (~pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X2),X2))) )),
% 59.37/10.02    inference(equality_resolution,[],[f48584])).
% 59.37/10.02  tff(f48584,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ~pp(aa(X0,bool,aTP_Lamp_nw(X0,fun(X0,bool),X1),X2))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33389])).
% 59.37/10.02  tff(f73533,plain,(
% 59.37/10.02    spl2737_1822),
% 59.37/10.02    inference(avatar_split_clause,[],[f53640,f73531])).
% 59.37/10.02  tff(f53640,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0] : (pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X2),X2))) )),
% 59.37/10.02    inference(equality_resolution,[],[f48583])).
% 59.37/10.02  tff(f48583,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (pp(aa(X0,bool,aTP_Lamp_hg(X0,fun(X0,bool),X1),X2)) | X1 != X2) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33388])).
% 59.37/10.02  tff(f73529,plain,(
% 59.37/10.02    spl2737_1821),
% 59.37/10.02    inference(avatar_split_clause,[],[f53620,f73527])).
% 59.37/10.02  tff(f73527,plain,(
% 59.37/10.02    spl2737_1821 <=> ! [X2 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X2,X1)) | ~sP470(zero_zero(int),X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1821])])).
% 59.37/10.02  tff(f53620,plain,(
% 59.37/10.02    ( ! [X2 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X2,X1)) | ~sP470(zero_zero(int),X1,X2)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48501])).
% 59.37/10.02  tff(f48501,plain,(
% 59.37/10.02    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (pp(aa(int,bool,X2,X1)) | zero_zero(int) != X0 | ~sP470(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33330])).
% 59.37/10.02  tff(f73525,plain,(
% 59.37/10.02    spl2737_1820),
% 59.37/10.02    inference(avatar_split_clause,[],[f53342,f73523])).
% 59.37/10.02  tff(f73523,plain,(
% 59.37/10.02    spl2737_1820 <=> ! [X0 : $tType] : ~pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),nil(X0)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1820])])).
% 59.37/10.02  tff(f53342,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),nil(X0)))) )),
% 59.37/10.02    inference(equality_resolution,[],[f46439])).
% 59.37/10.02  tff(f46439,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 | ~pp(aa(list(X0),bool,aTP_Lamp_od(list(X0),bool),X1))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32085])).
% 59.37/10.02  tff(f73521,plain,(
% 59.37/10.02    spl2737_1819 | ~spl2737_180 | ~spl2737_937),
% 59.37/10.02    inference(avatar_split_clause,[],[f69158,f68805,f65119,f73518])).
% 59.37/10.02  tff(f73518,plain,(
% 59.37/10.02    spl2737_1819 <=> sP140(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1819])])).
% 59.37/10.02  tff(f69158,plain,(
% 59.37/10.02    sP140(code_integer) | (~spl2737_180 | ~spl2737_937)),
% 59.37/10.02    inference(resolution,[],[f68806,f65121])).
% 59.37/10.02  tff(f73516,plain,(
% 59.37/10.02    spl2737_1818),
% 59.37/10.02    inference(avatar_split_clause,[],[f53341,f73514])).
% 59.37/10.02  tff(f73514,plain,(
% 59.37/10.02    spl2737_1818 <=> ! [X0 : $tType] : ~pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),nil(X0)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1818])])).
% 59.37/10.02  tff(f53341,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),nil(X0)))) )),
% 59.37/10.02    inference(equality_resolution,[],[f46437])).
% 59.37/10.02  tff(f46437,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 | ~pp(aa(list(X0),bool,aTP_Lamp_oc(list(X0),bool),X1))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32084])).
% 59.37/10.02  tff(f73512,plain,(
% 59.37/10.02    spl2737_1817),
% 59.37/10.02    inference(avatar_split_clause,[],[f53183,f73510])).
% 59.37/10.02  tff(f73510,plain,(
% 59.37/10.02    spl2737_1817 <=> ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1579(X0),sK1580(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1817])])).
% 59.37/10.02  tff(f53183,plain,(
% 59.37/10.02    ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1579(X0),sK1580(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))) )),
% 59.37/10.02    inference(equality_resolution,[],[f44967])).
% 59.37/10.02  tff(f44967,plain,(
% 59.37/10.02    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(sK1579(X0),sK1580(X0)) = X0 | one_one(nat) != X1 | ~vEBT_invar_vebt(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31262])).
% 59.37/10.02  tff(f31262,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(sK1579(X0),sK1580(X0)) = X0 | one_one(nat) != X1 | ~vEBT_invar_vebt(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1579,sK1580])],[f24360,f31261])).
% 59.37/10.02  tff(f31261,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 => vEBT_Leaf(sK1579(X0),sK1580(X0)) = X0)),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f24360,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : nat] : (? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 | one_one(nat) != X1 | ~vEBT_invar_vebt(X0,X1))),
% 59.37/10.02    inference(flattening,[],[f24359])).
% 59.37/10.02  tff(f24359,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : nat] : ((? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 | one_one(nat) != X1) | ~vEBT_invar_vebt(X0,X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f15723])).
% 59.37/10.02  tff(f15723,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => (one_one(nat) = X1 => ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0))),
% 59.37/10.02    inference(rectify,[],[f290])).
% 59.37/10.02  tff(f290,axiom,(
% 59.37/10.02    ! [X41 : vEBT_VEBT,X8 : nat] : (vEBT_invar_vebt(X41,X8) => (one_one(nat) = X8 => ? [X58 : bool,X59 : bool] : vEBT_Leaf(X58,X59) = X41))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_deg__1__Leafy)).
% 59.37/10.02  tff(f73508,plain,(
% 59.37/10.02    spl2737_1816),
% 59.37/10.02    inference(avatar_split_clause,[],[f52990,f73506])).
% 59.37/10.02  tff(f73506,plain,(
% 59.37/10.02    spl2737_1816 <=> ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),one2) | ~semiring_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1816])])).
% 59.37/10.02  tff(f52990,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),one2) | ~semiring_char_0(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f41464])).
% 59.37/10.02  tff(f41464,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : num] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),X1) | one2 != X1 | ~semiring_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f29725])).
% 59.37/10.02  tff(f73504,plain,(
% 59.37/10.02    spl2737_1815),
% 59.37/10.02    inference(avatar_split_clause,[],[f52912,f73502])).
% 59.37/10.02  tff(f73502,plain,(
% 59.37/10.02    spl2737_1815 <=> ! [X1 : $tType,X2 : X1] : (sP192(X1,aa(X1,X1,uminus_uminus(X1),X2)) | ~neg_numeral_is_num(X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1815])])).
% 59.37/10.02  tff(f52912,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : X1] : (sP192(X1,aa(X1,X1,uminus_uminus(X1),X2)) | ~neg_numeral_is_num(X1,X2)) )),
% 59.37/10.02    inference(equality_resolution,[],[f40683])).
% 59.37/10.02  tff(f40683,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : X1,X0 : X1] : (sP192(X1,X0) | ~neg_numeral_is_num(X1,X2) | aa(X1,X1,uminus_uminus(X1),X2) != X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f29529])).
% 59.37/10.02  tff(f73500,plain,(
% 59.37/10.02    spl2737_1814),
% 59.37/10.02    inference(avatar_split_clause,[],[f52658,f73498])).
% 59.37/10.02  tff(f73498,plain,(
% 59.37/10.02    spl2737_1814 <=> ! [X0 : $tType] : (one_one(X0) = power_int(X0,zero_zero(X0),zero_zero(int)) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1814])])).
% 59.37/10.02  tff(f52658,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = power_int(X0,zero_zero(X0),zero_zero(int)) | ~division_ring(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38830])).
% 59.37/10.02  tff(f38830,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : int] : (one_one(X0) = power_int(X0,zero_zero(X0),X1) | zero_zero(int) != X1 | ~division_ring(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20056])).
% 59.37/10.02  tff(f73496,plain,(
% 59.37/10.02    spl2737_1813),
% 59.37/10.02    inference(avatar_split_clause,[],[f52630,f73494])).
% 59.37/10.02  tff(f73494,plain,(
% 59.37/10.02    spl2737_1813 <=> ! [X0 : $tType] : (summable(X0,aTP_Lamp_br(X0,fun(nat,X0),zero_zero(X0))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1813])])).
% 59.37/10.02  tff(f52630,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (summable(X0,aTP_Lamp_br(X0,fun(nat,X0),zero_zero(X0))) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38445])).
% 59.37/10.02  tff(f38445,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (summable(X0,aTP_Lamp_br(X0,fun(nat,X0),X1)) | zero_zero(X0) != X1 | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28796])).
% 59.37/10.02  tff(f73492,plain,(
% 59.37/10.02    spl2737_1812),
% 59.37/10.02    inference(avatar_split_clause,[],[f52613,f73490])).
% 59.37/10.02  tff(f73490,plain,(
% 59.37/10.02    spl2737_1812 <=> ! [X0 : $tType] : (zero_zero(X0) = divide_divide(X0,one_one(X0),zero_zero(X0)) | ~linordered_field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1812])])).
% 59.37/10.02  tff(f52613,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = divide_divide(X0,one_one(X0),zero_zero(X0)) | ~linordered_field(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f37711])).
% 59.37/10.02  tff(f37711,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,one_one(X0),X1) | zero_zero(X0) != X1 | ~linordered_field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28495])).
% 59.37/10.02  tff(f73488,plain,(
% 59.37/10.02    spl2737_1811),
% 59.37/10.02    inference(avatar_split_clause,[],[f52589,f73486])).
% 59.37/10.02  tff(f73486,plain,(
% 59.37/10.02    spl2737_1811 <=> ! [X2 : $tType,X4 : real,X0 : X2,X3 : X2] : (zero_zero(X2) = X0 | ~sP25(X2,X0,zero_zero(real),X3,X4))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1811])])).
% 59.37/10.02  tff(f52589,plain,(
% 59.37/10.02    ( ! [X2 : $tType,X3 : X2,X0 : X2,X4 : real] : (zero_zero(X2) = X0 | ~sP25(X2,X0,zero_zero(real),X3,X4)) )),
% 59.37/10.02    inference(equality_resolution,[],[f37218])).
% 59.37/10.02  tff(f37218,plain,(
% 59.37/10.02    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : real,X4 : real] : (zero_zero(X2) = X0 | zero_zero(real) != X1 | ~sP25(X2,X0,X1,X3,X4)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28327])).
% 59.37/10.02  tff(f73484,plain,(
% 59.37/10.02    spl2737_1810),
% 59.37/10.02    inference(avatar_split_clause,[],[f52583,f73482])).
% 59.37/10.02  tff(f73482,plain,(
% 59.37/10.02    spl2737_1810 <=> ! [X2 : $tType,X4 : real,X0 : X2,X3 : X2] : (zero_zero(X2) = X0 | ~sP23(X2,X0,zero_zero(real),X3,X4))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1810])])).
% 59.37/10.02  tff(f52583,plain,(
% 59.37/10.02    ( ! [X2 : $tType,X3 : X2,X0 : X2,X4 : real] : (zero_zero(X2) = X0 | ~sP23(X2,X0,zero_zero(real),X3,X4)) )),
% 59.37/10.02    inference(equality_resolution,[],[f37209])).
% 59.37/10.02  tff(f37209,plain,(
% 59.37/10.02    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : real,X4 : real] : (zero_zero(X2) = X0 | zero_zero(real) != X1 | ~sP23(X2,X0,X1,X3,X4)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28323])).
% 59.37/10.02  tff(f73480,plain,(
% 59.37/10.02    spl2737_1809),
% 59.37/10.02    inference(avatar_split_clause,[],[f50125,f73478])).
% 59.37/10.02  tff(f73478,plain,(
% 59.37/10.02    spl2737_1809 <=> ! [X4 : vEBT_VEBT,X0 : nat,X3 : nat,X2 : nat,X1 : list(vEBT_VEBT)] : (sP543(X3,X2,X1,X0) | ~sP545(X0,X1,X2,X3,X4))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1809])])).
% 59.37/10.02  tff(f50125,plain,(
% 59.37/10.02    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (sP543(X3,X2,X1,X0) | ~sP545(X0,X1,X2,X3,X4)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f34367])).
% 59.37/10.02  tff(f73476,plain,(
% 59.37/10.02    spl2737_1808 | ~spl2737_183 | ~spl2737_936),
% 59.37/10.02    inference(avatar_split_clause,[],[f69157,f68801,f65134,f73473])).
% 59.37/10.02  tff(f73473,plain,(
% 59.37/10.02    spl2737_1808 <=> sP138(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1808])])).
% 59.37/10.02  tff(f68801,plain,(
% 59.37/10.02    spl2737_936 <=> ! [X0 : $tType] : (sP138(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_936])])).
% 59.37/10.02  tff(f69157,plain,(
% 59.37/10.02    sP138(int) | (~spl2737_183 | ~spl2737_936)),
% 59.37/10.02    inference(resolution,[],[f68802,f65136])).
% 59.37/10.02  tff(f68802,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP138(X0)) ) | ~spl2737_936),
% 59.37/10.02    inference(avatar_component_clause,[],[f68801])).
% 59.37/10.02  tff(f73471,plain,(
% 59.37/10.02    spl2737_1807),
% 59.37/10.02    inference(avatar_split_clause,[],[f49850,f73469])).
% 59.37/10.02  tff(f73469,plain,(
% 59.37/10.02    spl2737_1807 <=> ! [X0 : $tType,X2 : X0,X4 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0))] : (semilattice_order(X0,X1,X3,X4) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1807])])).
% 59.37/10.02  tff(f49850,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,fun(X0,bool))] : (semilattice_order(X0,X1,X3,X4) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f26736])).
% 59.37/10.02  tff(f26736,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool))] : (semilattice_order(X0,X1,X3,X4) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4))),
% 59.37/10.02    inference(ennf_transformation,[],[f18058])).
% 59.37/10.02  tff(f18058,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool))] : (semila1105856199041335345_order(X0,X1,X2,X3,X4) => semilattice_order(X0,X1,X3,X4))),
% 59.37/10.02    inference(rectify,[],[f7895])).
% 59.37/10.02  tff(f7895,axiom,(
% 59.37/10.02    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X235 : fun(X0,fun(X0,bool)),X236 : fun(X0,fun(X0,bool))] : (semila1105856199041335345_order(X0,X32,X60,X235,X236) => semilattice_order(X0,X32,X235,X236))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7894_semilattice__neutr__order_Oaxioms_I2_J)).
% 59.37/10.02  tff(f73467,plain,(
% 59.37/10.02    spl2737_1806),
% 59.37/10.02    inference(avatar_split_clause,[],[f49435,f73465])).
% 59.37/10.02  tff(f73465,plain,(
% 59.37/10.02    spl2737_1806 <=> ! [X3 : $tType,X0 : bool,X2 : fun(X3,fun(X3,bool)),X1 : list(X3)] : (~pp(X0) | ~sorted_wrt(X3,X2,X1) | ~sP507(X3,X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1806])])).
% 59.37/10.02  tff(f49435,plain,(
% 59.37/10.02    ( ! [X3 : $tType,X2 : fun(X3,fun(X3,bool)),X0 : bool,X1 : list(X3)] : (~pp(X0) | ~sorted_wrt(X3,X2,X1) | ~sP507(X3,X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33880])).
% 59.37/10.02  tff(f33880,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : list(X3),X2 : fun(X3,fun(X3,bool)),X3 : $tType] : (((~pp(X0) | ~sorted_wrt(X3,X2,X1)) & (pp(X0) | sorted_wrt(X3,X2,X1))) | ~sP507(X3,X0,X1,X2))),
% 59.37/10.02    inference(rectify,[],[f33879])).
% 59.37/10.02  tff(f33879,plain,(
% 59.37/10.02    ! [X3 : bool,X2 : list(X0),X1 : fun(X0,fun(X0,bool)),X0 : $tType] : (((~pp(X3) | ~sorted_wrt(X0,X1,X2)) & (pp(X3) | sorted_wrt(X0,X1,X2))) | ~sP507(X0,X3,X2,X1))),
% 59.37/10.02    inference(nnf_transformation,[],[f27846])).
% 59.37/10.02  tff(f27846,plain,(
% 59.37/10.02    ! [X3 : bool,X2 : list(X0),X1 : fun(X0,fun(X0,bool)),X0 : $tType] : ((sorted_wrt(X0,X1,X2) <~> pp(X3)) | ~sP507(X0,X3,X2,X1))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP507])])).
% 59.37/10.02  tff(f73463,plain,(
% 59.37/10.02    spl2737_1805),
% 59.37/10.02    inference(avatar_split_clause,[],[f49434,f73461])).
% 59.37/10.02  tff(f73461,plain,(
% 59.37/10.02    spl2737_1805 <=> ! [X3 : $tType,X0 : bool,X2 : fun(X3,fun(X3,bool)),X1 : list(X3)] : (pp(X0) | sorted_wrt(X3,X2,X1) | ~sP507(X3,X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1805])])).
% 59.37/10.02  tff(f49434,plain,(
% 59.37/10.02    ( ! [X3 : $tType,X2 : fun(X3,fun(X3,bool)),X0 : bool,X1 : list(X3)] : (pp(X0) | sorted_wrt(X3,X2,X1) | ~sP507(X3,X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33880])).
% 59.37/10.02  tff(f73459,plain,(
% 59.37/10.02    spl2737_1804),
% 59.37/10.02    inference(avatar_split_clause,[],[f48439,f73457])).
% 59.37/10.02  tff(f73457,plain,(
% 59.37/10.02    spl2737_1804 <=> ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (sP466(X1,sK2376(X1,X0,X2),X0) | ~sP467(X1,X0,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1804])])).
% 59.37/10.02  tff(f48439,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (sP466(X1,sK2376(X1,X0,X2),X0) | ~sP467(X1,X0,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33273])).
% 59.37/10.02  tff(f33273,plain,(
% 59.37/10.02    ! [X0 : list(X1),X1 : $tType,X2 : list(X1)] : ((sP467(X1,X0,X2) | ! [X3 : fun(nat,nat)] : (~sP466(X1,X3,X0) | (aa(nat,X1,nth(X1,X0),sK2375(X1,X0,X2,X3)) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,sK2375(X1,X0,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2375(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))) | image(nat,nat,X3,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) != set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) | ~order_mono(nat,nat,X3))) & ((sP466(X1,sK2376(X1,X0,X2),X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,sK2376(X1,X0,X2),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = image(nat,nat,sK2376(X1,X0,X2),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,sK2376(X1,X0,X2))) | ~sP467(X1,X0,X2)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2375,sK2376])],[f33270,f33272,f33271])).
% 59.37/10.02  tff(f33271,plain,(
% 59.37/10.02    ! [X1 : $tType,X0 : list(X1),X2 : list(X1),X3 : fun(nat,nat)] : (? [X4 : nat] : (aa(nat,X1,nth(X1,X0),X4) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0)))) => (aa(nat,X1,nth(X1,X0),sK2375(X1,X0,X2,X3)) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,sK2375(X1,X0,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2375(X1,X0,X2,X3)),aa(list(X1),nat,size_size(list(X1)),X0)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f33272,plain,(
% 59.37/10.02    ! [X1 : $tType,X0 : list(X1),X2 : list(X1)] : (? [X5 : fun(nat,nat)] : (sP466(X1,X5,X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,X5,X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = image(nat,nat,X5,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,X5)) => (sP466(X1,sK2376(X1,X0,X2),X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,sK2376(X1,X0,X2),X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = image(nat,nat,sK2376(X1,X0,X2),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,sK2376(X1,X0,X2))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f33270,plain,(
% 59.37/10.02    ! [X0 : list(X1),X1 : $tType,X2 : list(X1)] : ((sP467(X1,X0,X2) | ! [X3 : fun(nat,nat)] : (~sP466(X1,X3,X0) | ? [X4 : nat] : (aa(nat,X1,nth(X1,X0),X4) != aa(nat,X1,nth(X1,X2),aa(nat,nat,X3,X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X1),nat,size_size(list(X1)),X0)))) | image(nat,nat,X3,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) != set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) | ~order_mono(nat,nat,X3))) & (? [X5 : fun(nat,nat)] : (sP466(X1,X5,X0) & ! [X6 : nat] : (aa(nat,X1,nth(X1,X0),X6) = aa(nat,X1,nth(X1,X2),aa(nat,nat,X5,X6)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(list(X1),nat,size_size(list(X1)),X0)))) & set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X2)) = image(nat,nat,X5,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X1),nat,size_size(list(X1)),X0))) & order_mono(nat,nat,X5)) | ~sP467(X1,X0,X2)))),
% 59.37/10.02    inference(rectify,[],[f33269])).
% 59.37/10.02  tff(f33269,plain,(
% 59.37/10.02    ! [X1 : list(X0),X0 : $tType,X2 : list(X0)] : ((sP467(X0,X1,X2) | ! [X3 : fun(nat,nat)] : (~sP466(X0,X3,X1) | ? [X5 : nat] : (aa(nat,X0,nth(X0,X1),X5) != aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) | image(nat,nat,X3,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) != set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) | ~order_mono(nat,nat,X3))) & (? [X3 : fun(nat,nat)] : (sP466(X0,X3,X1) & ! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X5) = aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) & image(nat,nat,X3,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)) | ~sP467(X0,X1,X2)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27779])).
% 59.37/10.02  tff(f27779,plain,(
% 59.37/10.02    ! [X1 : list(X0),X0 : $tType,X2 : list(X0)] : (sP467(X0,X1,X2) <=> ? [X3 : fun(nat,nat)] : (sP466(X0,X3,X1) & ! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X5) = aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) & image(nat,nat,X3,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP467])])).
% 59.37/10.02  tff(f73455,plain,(
% 59.37/10.02    spl2737_1803),
% 59.37/10.02    inference(avatar_split_clause,[],[f48436,f73453])).
% 59.37/10.02  tff(f73453,plain,(
% 59.37/10.02    spl2737_1803 <=> ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (order_mono(nat,nat,sK2376(X1,X0,X2)) | ~sP467(X1,X0,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1803])])).
% 59.37/10.02  tff(f48436,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : list(X1),X0 : list(X1)] : (order_mono(nat,nat,sK2376(X1,X0,X2)) | ~sP467(X1,X0,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33273])).
% 59.37/10.02  tff(f73451,plain,(
% 59.37/10.02    spl2737_1802),
% 59.37/10.02    inference(avatar_split_clause,[],[f48413,f73449])).
% 59.37/10.02  tff(f73449,plain,(
% 59.37/10.02    spl2737_1802 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (zero_zero(int) != sK2370(X0,X1,X2) | ~sP462(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1802])])).
% 59.37/10.02  tff(f48413,plain,(
% 59.37/10.02    ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (zero_zero(int) != sK2370(X0,X1,X2) | ~sP462(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33255])).
% 59.37/10.02  tff(f33255,plain,(
% 59.37/10.02    ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP462(X0,X1,X2) | ! [X3 : int,X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X5),X3) != X4 | zero_zero(int) = X3 | aa(int,product_prod(int,int),product_Pair(int,int,X5),zero_zero(int)) != X0 | X1 != X3 | X2 != X4)) & ((sK2371(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),times_times(int),sK2372(X0,X1,X2)),sK2370(X0,X1,X2)) & zero_zero(int) != sK2370(X0,X1,X2) & aa(int,product_prod(int,int),product_Pair(int,int,sK2372(X0,X1,X2)),zero_zero(int)) = X0 & sK2370(X0,X1,X2) = X1 & sK2371(X0,X1,X2) = X2) | ~sP462(X0,X1,X2)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2370,sK2371,sK2372])],[f33253,f33254])).
% 59.37/10.02  tff(f33254,plain,(
% 59.37/10.02    ! [X0 : product_prod(int,int),X1 : int,X2 : int] : (? [X6 : int,X7 : int,X8 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X8),X6) = X7 & zero_zero(int) != X6 & aa(int,product_prod(int,int),product_Pair(int,int,X8),zero_zero(int)) = X0 & X1 = X6 & X2 = X7) => (sK2371(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),times_times(int),sK2372(X0,X1,X2)),sK2370(X0,X1,X2)) & zero_zero(int) != sK2370(X0,X1,X2) & aa(int,product_prod(int,int),product_Pair(int,int,sK2372(X0,X1,X2)),zero_zero(int)) = X0 & sK2370(X0,X1,X2) = X1 & sK2371(X0,X1,X2) = X2))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f33253,plain,(
% 59.37/10.02    ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP462(X0,X1,X2) | ! [X3 : int,X4 : int,X5 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X5),X3) != X4 | zero_zero(int) = X3 | aa(int,product_prod(int,int),product_Pair(int,int,X5),zero_zero(int)) != X0 | X1 != X3 | X2 != X4)) & (? [X6 : int,X7 : int,X8 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X8),X6) = X7 & zero_zero(int) != X6 & aa(int,product_prod(int,int),product_Pair(int,int,X8),zero_zero(int)) = X0 & X1 = X6 & X2 = X7) | ~sP462(X0,X1,X2)))),
% 59.37/10.02    inference(rectify,[],[f33252])).
% 59.37/10.02  tff(f33252,plain,(
% 59.37/10.02    ! [X2 : product_prod(int,int),X1 : int,X0 : int] : ((sP462(X2,X1,X0) | ! [X7 : int,X8 : int,X9 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X9),X7) != X8 | zero_zero(int) = X7 | aa(int,product_prod(int,int),product_Pair(int,int,X9),zero_zero(int)) != X2 | X1 != X7 | X0 != X8)) & (? [X7 : int,X8 : int,X9 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X9),X7) = X8 & zero_zero(int) != X7 & aa(int,product_prod(int,int),product_Pair(int,int,X9),zero_zero(int)) = X2 & X1 = X7 & X0 = X8) | ~sP462(X2,X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27772])).
% 59.37/10.02  tff(f27772,plain,(
% 59.37/10.02    ! [X2 : product_prod(int,int),X1 : int,X0 : int] : (sP462(X2,X1,X0) <=> ? [X7 : int,X8 : int,X9 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X9),X7) = X8 & zero_zero(int) != X7 & aa(int,product_prod(int,int),product_Pair(int,int,X9),zero_zero(int)) = X2 & X1 = X7 & X0 = X8))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP462])])).
% 59.37/10.02  tff(f73447,plain,(
% 59.37/10.02    spl2737_1801),
% 59.37/10.02    inference(avatar_split_clause,[],[f48290,f73445])).
% 59.37/10.02  tff(f73445,plain,(
% 59.37/10.02    spl2737_1801 <=> ! [X0 : fun(nat,bool),X1 : nat] : (~pp(aa(nat,bool,X0,sK2300(X0,X1))) | ~sP460(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1801])])).
% 59.37/10.02  tff(f48290,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool),X1 : nat] : (~pp(aa(nat,bool,X0,sK2300(X0,X1))) | ~sP460(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33118])).
% 59.37/10.02  tff(f73443,plain,(
% 59.37/10.02    spl2737_1800),
% 59.37/10.02    inference(avatar_split_clause,[],[f48122,f73441])).
% 59.37/10.02  tff(f73441,plain,(
% 59.37/10.02    spl2737_1800 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2213(X2),sK2214(X2)) = X2 | ~sP425(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1800])])).
% 59.37/10.02  tff(f48122,plain,(
% 59.37/10.02    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (vEBT_Leaf(sK2213(X2),sK2214(X2)) = X2 | ~sP425(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32945])).
% 59.37/10.02  tff(f32945,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (((one_one(nat) = X0 | ~pp(X1)) & (one_one(nat) != X0 | pp(X1)) & vEBT_Leaf(sK2213(X2),sK2214(X2)) = X2) | ~sP425(X0,X1,X2))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2213,sK2214])],[f32943,f32944])).
% 59.37/10.02  tff(f32944,plain,(
% 59.37/10.02    ! [X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X2 => vEBT_Leaf(sK2213(X2),sK2214(X2)) = X2)),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32943,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (((one_one(nat) = X0 | ~pp(X1)) & (one_one(nat) != X0 | pp(X1)) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X2) | ~sP425(X0,X1,X2))),
% 59.37/10.02    inference(rectify,[],[f32942])).
% 59.37/10.02  tff(f32942,plain,(
% 59.37/10.02    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (((one_one(nat) = X1 | ~pp(X2)) & (one_one(nat) != X1 | pp(X2)) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP425(X1,X2,X0))),
% 59.37/10.02    inference(flattening,[],[f32941])).
% 59.37/10.02  tff(f32941,plain,(
% 59.37/10.02    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : ((((one_one(nat) = X1 | ~pp(X2)) & (one_one(nat) != X1 | pp(X2))) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP425(X1,X2,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27727])).
% 59.37/10.02  tff(f27727,plain,(
% 59.37/10.02    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (((pp(X2) <~> one_one(nat) != X1) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP425(X1,X2,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP425])])).
% 59.37/10.02  tff(f73439,plain,(
% 59.37/10.02    spl2737_1799),
% 59.37/10.02    inference(avatar_split_clause,[],[f47693,f73437])).
% 59.37/10.02  tff(f73437,plain,(
% 59.37/10.02    spl2737_1799 <=> ! [X0 : fun(nat,bool),X1 : nat] : (~pp(aa(nat,bool,X0,sK2099(X0,X1))) | ~sP391(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1799])])).
% 59.37/10.02  tff(f47693,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool),X1 : nat] : (~pp(aa(nat,bool,X0,sK2099(X0,X1))) | ~sP391(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32713])).
% 59.37/10.02  tff(f73435,plain,(
% 59.37/10.02    spl2737_1798),
% 59.37/10.02    inference(avatar_split_clause,[],[f47477,f73433])).
% 59.37/10.02  tff(f73433,plain,(
% 59.37/10.02    spl2737_1798 <=> ! [X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X0,sK2060(X0,X1))) | ~sP385(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1798])])).
% 59.37/10.02  tff(f47477,plain,(
% 59.37/10.02    ( ! [X0 : fun(int,bool),X1 : int] : (pp(aa(int,bool,X0,sK2060(X0,X1))) | ~sP385(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32619])).
% 59.37/10.02  tff(f73431,plain,(
% 59.37/10.02    spl2737_1797 | ~spl2737_181 | ~spl2737_936),
% 59.37/10.02    inference(avatar_split_clause,[],[f69156,f68801,f65124,f73428])).
% 59.37/10.02  tff(f73428,plain,(
% 59.37/10.02    spl2737_1797 <=> sP138(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1797])])).
% 59.37/10.02  tff(f69156,plain,(
% 59.37/10.02    sP138(rat) | (~spl2737_181 | ~spl2737_936)),
% 59.37/10.02    inference(resolution,[],[f68802,f65126])).
% 59.37/10.02  tff(f73426,plain,(
% 59.37/10.02    spl2737_1796),
% 59.37/10.02    inference(avatar_split_clause,[],[f47462,f73424])).
% 59.37/10.02  tff(f73424,plain,(
% 59.37/10.02    spl2737_1796 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extended_enat2(sK2052(X0,X1,X2)) = X1 | ~sP384(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1796])])).
% 59.37/10.02  tff(f47462,plain,(
% 59.37/10.02    ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extended_enat2(sK2052(X0,X1,X2)) = X1 | ~sP384(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32605])).
% 59.37/10.02  tff(f32605,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (((vEBT_Node(sK2048(X0,X1,X2),sK2049(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,sK2052(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2049(X0,X1,X2))),sK2050(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2051(X0,X1,X2),extended_enat2(divide_divide(nat,sK2052(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(sK2052(X0,X1,X2)) = X1) & vEBT_Node(sK2048(X0,X1,X2),sK2049(X0,X1,X2),sK2050(X0,X1,X2),sK2051(X0,X1,X2)) = X2) | ~sP384(X0,X1,X2))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2048,sK2049,sK2050,sK2051,sK2052])],[f32602,f32604,f32603])).
% 59.37/10.02  tff(f32603,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (? [X7 : nat] : (vEBT_Node(X3,X4,take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5)),vEBT_VEBT_elim_dead(X6,extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) & vEBT_Node(X3,X4,X5,X6) = X2) => (? [X7 : nat] : (vEBT_Node(sK2048(X0,X1,X2),sK2049(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2049(X0,X1,X2))),sK2050(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2051(X0,X1,X2),extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) & vEBT_Node(sK2048(X0,X1,X2),sK2049(X0,X1,X2),sK2050(X0,X1,X2),sK2051(X0,X1,X2)) = X2))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32604,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X7 : nat] : (vEBT_Node(sK2048(X0,X1,X2),sK2049(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2049(X0,X1,X2))),sK2050(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2051(X0,X1,X2),extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) => (vEBT_Node(sK2048(X0,X1,X2),sK2049(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,sK2052(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2049(X0,X1,X2))),sK2050(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2051(X0,X1,X2),extended_enat2(divide_divide(nat,sK2052(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2049(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(sK2052(X0,X1,X2)) = X1))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32602,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (? [X7 : nat] : (vEBT_Node(X3,X4,take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5)),vEBT_VEBT_elim_dead(X6,extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) & vEBT_Node(X3,X4,X5,X6) = X2) | ~sP384(X0,X1,X2))),
% 59.37/10.02    inference(rectify,[],[f32601])).
% 59.37/10.02  tff(f32601,plain,(
% 59.37/10.02    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X9 : option(product_prod(nat,nat)),X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (? [X13 : nat] : (vEBT_Node(X9,X10,take(vEBT_VEBT,divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X10)),X11)),vEBT_VEBT_elim_dead(X12,extended_enat2(divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X2 & extended_enat2(X13) = X1) & vEBT_Node(X9,X10,X11,X12) = X0) | ~sP384(X2,X1,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27669])).
% 59.37/10.02  tff(f27669,plain,(
% 59.37/10.02    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X9 : option(product_prod(nat,nat)),X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (? [X13 : nat] : (vEBT_Node(X9,X10,take(vEBT_VEBT,divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X10)),X11)),vEBT_VEBT_elim_dead(X12,extended_enat2(divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X2 & extended_enat2(X13) = X1) & vEBT_Node(X9,X10,X11,X12) = X0) | ~sP384(X2,X1,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP384])])).
% 59.37/10.02  tff(f73422,plain,(
% 59.37/10.02    spl2737_1795),
% 59.37/10.02    inference(avatar_split_clause,[],[f47451,f73420])).
% 59.37/10.02  tff(f73420,plain,(
% 59.37/10.02    spl2737_1795 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extended_enat2(sK2041(X0,X1,X2)) = X1 | ~sP382(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1795])])).
% 59.37/10.02  tff(f47451,plain,(
% 59.37/10.02    ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extended_enat2(sK2041(X0,X1,X2)) = X1 | ~sP382(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32594])).
% 59.37/10.02  tff(f32594,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (((accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),sK2039(X0,X1,X2),sK2040(X0,X1,X2))),extended_enat2(sK2041(X0,X1,X2)))) & vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,sK2041(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2038(X0,X1,X2))),sK2039(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2040(X0,X1,X2),extended_enat2(divide_divide(nat,sK2041(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(sK2041(X0,X1,X2)) = X1) & vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),sK2039(X0,X1,X2),sK2040(X0,X1,X2)) = X2) | ~sP382(X0,X1,X2))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2037,sK2038,sK2039,sK2040,sK2041])],[f32591,f32593,f32592])).
% 59.37/10.02  tff(f32592,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (? [X7 : nat] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X3,X4,X5,X6)),extended_enat2(X7))) & vEBT_Node(X3,X4,take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5)),vEBT_VEBT_elim_dead(X6,extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) & vEBT_Node(X3,X4,X5,X6) = X2) => (? [X7 : nat] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),sK2039(X0,X1,X2),sK2040(X0,X1,X2))),extended_enat2(X7))) & vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2038(X0,X1,X2))),sK2039(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2040(X0,X1,X2),extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) & vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),sK2039(X0,X1,X2),sK2040(X0,X1,X2)) = X2))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32593,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X7 : nat] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),sK2039(X0,X1,X2),sK2040(X0,X1,X2))),extended_enat2(X7))) & vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2038(X0,X1,X2))),sK2039(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2040(X0,X1,X2),extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) => (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),sK2039(X0,X1,X2),sK2040(X0,X1,X2))),extended_enat2(sK2041(X0,X1,X2)))) & vEBT_Node(sK2037(X0,X1,X2),sK2038(X0,X1,X2),take(vEBT_VEBT,divide_divide(nat,sK2041(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2038(X0,X1,X2))),sK2039(X0,X1,X2))),vEBT_VEBT_elim_dead(sK2040(X0,X1,X2),extended_enat2(divide_divide(nat,sK2041(X0,X1,X2),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,sK2038(X0,X1,X2),aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(sK2041(X0,X1,X2)) = X1))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32591,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (? [X7 : nat] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X3,X4,X5,X6)),extended_enat2(X7))) & vEBT_Node(X3,X4,take(vEBT_VEBT,divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5)),vEBT_VEBT_elim_dead(X6,extended_enat2(divide_divide(nat,X7,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X4,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X0 & extended_enat2(X7) = X1) & vEBT_Node(X3,X4,X5,X6) = X2) | ~sP382(X0,X1,X2))),
% 59.37/10.02    inference(rectify,[],[f32590])).
% 59.37/10.02  tff(f32590,plain,(
% 59.37/10.02    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X9 : option(product_prod(nat,nat)),X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (? [X13 : nat] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X9,X10,X11,X12)),extended_enat2(X13))) & vEBT_Node(X9,X10,take(vEBT_VEBT,divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X10)),X11)),vEBT_VEBT_elim_dead(X12,extended_enat2(divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X2 & extended_enat2(X13) = X1) & vEBT_Node(X9,X10,X11,X12) = X0) | ~sP382(X2,X1,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27666])).
% 59.37/10.02  tff(f27666,plain,(
% 59.37/10.02    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X9 : option(product_prod(nat,nat)),X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : (? [X13 : nat] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X9,X10,X11,X12)),extended_enat2(X13))) & vEBT_Node(X9,X10,take(vEBT_VEBT,divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X10)),X11)),vEBT_VEBT_elim_dead(X12,extended_enat2(divide_divide(nat,X13,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),divide_divide(nat,X10,aa(num,nat,numeral_numeral(nat),bit0(one2)))))))) = X2 & extended_enat2(X13) = X1) & vEBT_Node(X9,X10,X11,X12) = X0) | ~sP382(X2,X1,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP382])])).
% 59.37/10.02  tff(f73418,plain,(
% 59.37/10.02    spl2737_1794),
% 59.37/10.02    inference(avatar_split_clause,[],[f47408,f73416])).
% 59.37/10.02  tff(f73416,plain,(
% 59.37/10.02    spl2737_1794 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (monoid(X0,X1,X2) | ~monoid_axioms(X0,X1,X2) | ~semigroup(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1794])])).
% 59.37/10.02  tff(f47408,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (monoid(X0,X1,X2) | ~monoid_axioms(X0,X1,X2) | ~semigroup(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f25607])).
% 59.37/10.02  tff(f25607,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (monoid(X0,X1,X2) | ~monoid_axioms(X0,X1,X2) | ~semigroup(X0,X1))),
% 59.37/10.02    inference(flattening,[],[f25606])).
% 59.37/10.02  tff(f25606,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : ((monoid(X0,X1,X2) | ~monoid_axioms(X0,X1,X2)) | ~semigroup(X0,X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f16999])).
% 59.37/10.02  tff(f16999,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (semigroup(X0,X1) => (monoid_axioms(X0,X1,X2) => monoid(X0,X1,X2)))),
% 59.37/10.02    inference(rectify,[],[f8066])).
% 59.37/10.02  tff(f8066,axiom,(
% 59.37/10.02    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0] : (semigroup(X0,X32) => (monoid_axioms(X0,X32,X60) => monoid(X0,X32,X60)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8065_monoid_Ointro)).
% 59.37/10.02  tff(f73414,plain,(
% 59.37/10.02    spl2737_1793),
% 59.37/10.02    inference(avatar_split_clause,[],[f47050,f73412])).
% 59.37/10.02  tff(f73412,plain,(
% 59.37/10.02    spl2737_1793 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,sK1981(X0,X1))) | ~sP366(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1793])])).
% 59.37/10.02  tff(f47050,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,sK1981(X0,X1))) | ~sP366(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32471])).
% 59.37/10.02  tff(f32471,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP366(X0,X1) | ! [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & ((pp(aa(nat,bool,X0,sK1981(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1981(X0,X1)),aa(nat,nat,suc,X1)))) | ~sP366(X0,X1)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1981])],[f32469,f32470])).
% 59.37/10.02  tff(f32470,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : (? [X3 : nat] : (pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) => (pp(aa(nat,bool,X0,sK1981(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1981(X0,X1)),aa(nat,nat,suc,X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32469,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP366(X0,X1) | ! [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (? [X3 : nat] : (pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP366(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32468])).
% 59.37/10.02  tff(f32468,plain,(
% 59.37/10.02    ! [X1 : fun(nat,bool),X0 : nat] : ((sP366(X1,X0) | ! [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (? [X2 : nat] : (pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP366(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27644])).
% 59.37/10.02  tff(f27644,plain,(
% 59.37/10.02    ! [X1 : fun(nat,bool),X0 : nat] : (sP366(X1,X0) <=> ? [X2 : nat] : (pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP366])])).
% 59.37/10.02  tff(f73410,plain,(
% 59.37/10.02    spl2737_1792),
% 59.37/10.02    inference(avatar_split_clause,[],[f47043,f73408])).
% 59.37/10.02  tff(f73408,plain,(
% 59.37/10.02    spl2737_1792 <=> ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,sK1979(X0,X1))) | ~sP365(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1792])])).
% 59.37/10.02  tff(f47043,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool),X1 : nat] : (pp(aa(nat,bool,X0,sK1979(X0,X1))) | ~sP365(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32462])).
% 59.37/10.02  tff(f32462,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP365(X0,X1) | ! [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & ((pp(aa(nat,bool,X0,sK1979(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1979(X0,X1)),aa(nat,nat,suc,X1)))) | ~sP365(X0,X1)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1979])],[f32460,f32461])).
% 59.37/10.02  tff(f32461,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : (? [X3 : nat] : (pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) => (pp(aa(nat,bool,X0,sK1979(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1979(X0,X1)),aa(nat,nat,suc,X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32460,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP365(X0,X1) | ! [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (? [X3 : nat] : (pp(aa(nat,bool,X0,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP365(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32459])).
% 59.37/10.02  tff(f32459,plain,(
% 59.37/10.02    ! [X1 : fun(nat,bool),X0 : nat] : ((sP365(X1,X0) | ! [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (? [X2 : nat] : (pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP365(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27642])).
% 59.37/10.02  tff(f73406,plain,(
% 59.37/10.02    spl2737_1791),
% 59.37/10.02    inference(avatar_split_clause,[],[f47029,f73404])).
% 59.37/10.02  tff(f73404,plain,(
% 59.37/10.02    spl2737_1791 <=> ! [X0 : fun(nat,bool),X1 : nat] : (sP364(X0,X1) | ~pp(aa(nat,bool,X0,sK1973(X0,X1))))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1791])])).
% 59.37/10.02  tff(f47029,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool),X1 : nat] : (sP364(X0,X1) | ~pp(aa(nat,bool,X0,sK1973(X0,X1)))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32443])).
% 59.37/10.02  tff(f32443,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP364(X0,X1) | (~pp(aa(nat,bool,X0,sK1973(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1973(X0,X1)),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP364(X0,X1)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1973])],[f32441,f32442])).
% 59.37/10.02  tff(f32442,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1)))) => (~pp(aa(nat,bool,X0,sK1973(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1973(X0,X1)),aa(nat,nat,suc,X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32441,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP364(X0,X1) | ? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP364(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32440])).
% 59.37/10.02  tff(f32440,plain,(
% 59.37/10.02    ! [X1 : fun(nat,bool),X0 : nat] : ((sP364(X1,X0) | ? [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (! [X2 : nat] : (pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP364(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27640])).
% 59.37/10.02  tff(f27640,plain,(
% 59.37/10.02    ! [X1 : fun(nat,bool),X0 : nat] : (sP364(X1,X0) <=> ! [X2 : nat] : (pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP364])])).
% 59.37/10.02  tff(f73402,plain,(
% 59.37/10.02    spl2737_1790),
% 59.37/10.02    inference(avatar_split_clause,[],[f47022,f73400])).
% 59.37/10.02  tff(f73400,plain,(
% 59.37/10.02    spl2737_1790 <=> ! [X0 : fun(nat,bool),X1 : nat] : (sP363(X0,X1) | ~pp(aa(nat,bool,X0,sK1971(X0,X1))))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1790])])).
% 59.37/10.02  tff(f47022,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool),X1 : nat] : (sP363(X0,X1) | ~pp(aa(nat,bool,X0,sK1971(X0,X1)))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32434])).
% 59.37/10.02  tff(f32434,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP363(X0,X1) | (~pp(aa(nat,bool,X0,sK1971(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1971(X0,X1)),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP363(X0,X1)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1971])],[f32432,f32433])).
% 59.37/10.02  tff(f32433,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : (? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1)))) => (~pp(aa(nat,bool,X0,sK1971(X0,X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1971(X0,X1)),aa(nat,nat,suc,X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32432,plain,(
% 59.37/10.02    ! [X0 : fun(nat,bool),X1 : nat] : ((sP363(X0,X1) | ? [X2 : nat] : (~pp(aa(nat,bool,X0,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X1))))) & (! [X3 : nat] : (pp(aa(nat,bool,X0,X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(nat,nat,suc,X1)))) | ~sP363(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32431])).
% 59.37/10.02  tff(f32431,plain,(
% 59.37/10.02    ! [X1 : fun(nat,bool),X0 : nat] : ((sP363(X1,X0) | ? [X2 : nat] : (~pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0))))) & (! [X2 : nat] : (pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) | ~sP363(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27638])).
% 59.37/10.02  tff(f73398,plain,(
% 59.37/10.02    spl2737_1789),
% 59.37/10.02    inference(avatar_split_clause,[],[f46334,f73396])).
% 59.37/10.02  tff(f73396,plain,(
% 59.37/10.02    spl2737_1789 <=> ! [X0 : $tType,X1 : list(list(X0))] : (sP349(X0,X1) | sK1946(X0,X1) != sK1947(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1789])])).
% 59.37/10.02  tff(f46334,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(list(X0))] : (sP349(X0,X1) | sK1946(X0,X1) != sK1947(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32012])).
% 59.37/10.02  tff(f32012,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : ((sP349(X0,X1) | (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),sK1946(X0,X1))),aa(list(X0),set(X0),set2(X0),sK1947(X0,X1))) & sK1946(X0,X1) != sK1947(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1947(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1946(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X4 : list(X0),X5 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X4)),aa(list(X0),set(X0),set2(X0),X5)) | X4 = X5 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X5),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~sP349(X0,X1)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1946,sK1947])],[f32010,f32011])).
% 59.37/10.02  tff(f32011,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),sK1946(X0,X1))),aa(list(X0),set(X0),set2(X0),sK1947(X0,X1))) & sK1946(X0,X1) != sK1947(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1947(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1946(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32010,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : ((sP349(X0,X1) | ? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X4 : list(X0),X5 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X4)),aa(list(X0),set(X0),set2(X0),X5)) | X4 = X5 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X5),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~sP349(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f32009])).
% 59.37/10.02  tff(f32009,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : ((sP349(X0,X1) | ? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & (! [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) | X2 = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~sP349(X0,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27611])).
% 59.37/10.02  tff(f27611,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (sP349(X0,X1) <=> ! [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) | X2 = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP349])])).
% 59.37/10.02  tff(f73394,plain,(
% 59.37/10.02    spl2737_1788),
% 59.37/10.02    inference(avatar_split_clause,[],[f46174,f73392])).
% 59.37/10.02  tff(f73392,plain,(
% 59.37/10.02    spl2737_1788 <=> ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | ~distinct(X0,sK1876(X0,X1)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1788])])).
% 59.37/10.02  tff(f46174,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | ~distinct(X0,sK1876(X0,X1))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31872])).
% 59.37/10.02  tff(f31872,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | (~distinct(X0,sK1876(X0,X1)) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1876(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1876])],[f25501,f31871])).
% 59.37/10.02  tff(f31871,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0)] : (~distinct(X0,X2) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => (~distinct(X0,sK1876(X0,X1)) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1876(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f25501,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(list(X0),product_lists(X0,X1)) | ? [X2 : list(X0)] : (~distinct(X0,X2) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.02    inference(ennf_transformation,[],[f16433])).
% 59.37/10.02  tff(f16433,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (! [X2 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => distinct(X0,X2)) => distinct(list(X0),product_lists(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f4942])).
% 59.37/10.02  tff(f4942,axiom,(
% 59.37/10.02    ! [X0 : $tType,X238 : list(list(X0))] : (! [X20 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X20),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X238))) => distinct(X0,X20)) => distinct(list(X0),product_lists(X0,X238)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4941_distinct__product__lists)).
% 59.37/10.02  tff(f73390,plain,(
% 59.37/10.02    spl2737_1787),
% 59.37/10.02    inference(avatar_split_clause,[],[f46126,f73388])).
% 59.37/10.02  tff(f73388,plain,(
% 59.37/10.02    spl2737_1787 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK1844(X0,X1))) | ~sP327(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1787])])).
% 59.37/10.02  tff(f46126,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK1844(X0,X1))) | ~sP327(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31810])).
% 59.37/10.02  tff(f31810,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK1844(X0,X1))) & ~pp(X0) & vEBT_Leaf(fTrue,sK1844(X0,X1)) = X1) | ~sP327(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1844])],[f31808,f31809])).
% 59.37/10.02  tff(f31809,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X2)) & ~pp(X0) & vEBT_Leaf(fTrue,X2) = X1) => (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK1844(X0,X1))) & ~pp(X0) & vEBT_Leaf(fTrue,sK1844(X0,X1)) = X1))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31808,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X2)) & ~pp(X0) & vEBT_Leaf(fTrue,X2) = X1) | ~sP327(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31807])).
% 59.37/10.02  tff(f31807,plain,(
% 59.37/10.02    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X2)) & ~pp(X1) & vEBT_Leaf(fTrue,X2) = X0) | ~sP327(X1,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27585])).
% 59.37/10.02  tff(f27585,plain,(
% 59.37/10.02    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X2)) & ~pp(X1) & vEBT_Leaf(fTrue,X2) = X0) | ~sP327(X1,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP327])])).
% 59.37/10.02  tff(f73386,plain,(
% 59.37/10.02    spl2737_1786 | ~spl2737_182 | ~spl2737_936),
% 59.37/10.02    inference(avatar_split_clause,[],[f69155,f68801,f65129,f73383])).
% 59.37/10.02  tff(f73383,plain,(
% 59.37/10.02    spl2737_1786 <=> sP138(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1786])])).
% 59.37/10.02  tff(f69155,plain,(
% 59.37/10.02    sP138(real) | (~spl2737_182 | ~spl2737_936)),
% 59.37/10.02    inference(resolution,[],[f68802,f65131])).
% 59.37/10.02  tff(f73381,plain,(
% 59.37/10.02    spl2737_1785),
% 59.37/10.02    inference(avatar_split_clause,[],[f46123,f73379])).
% 59.37/10.02  tff(f73379,plain,(
% 59.37/10.02    spl2737_1785 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(sK1843(X0,X1),fTrue)) | ~sP328(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1785])])).
% 59.37/10.02  tff(f46123,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(sK1843(X0,X1),fTrue)) | ~sP328(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31806])).
% 59.37/10.02  tff(f31806,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(sK1843(X0,X1),fTrue)) & ~pp(X0) & vEBT_Leaf(sK1843(X0,X1),fTrue) = X1) | ~sP328(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1843])],[f31804,f31805])).
% 59.37/10.02  tff(f31805,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(X2,fTrue)) & ~pp(X0) & vEBT_Leaf(X2,fTrue) = X1) => (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(sK1843(X0,X1),fTrue)) & ~pp(X0) & vEBT_Leaf(sK1843(X0,X1),fTrue) = X1))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31804,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(X2,fTrue)) & ~pp(X0) & vEBT_Leaf(X2,fTrue) = X1) | ~sP328(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31803])).
% 59.37/10.02  tff(f31803,plain,(
% 59.37/10.02    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X3 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(X3,fTrue)) & ~pp(X1) & vEBT_Leaf(X3,fTrue) = X0) | ~sP328(X1,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27586])).
% 59.37/10.02  tff(f27586,plain,(
% 59.37/10.02    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X3 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(X3,fTrue)) & ~pp(X1) & vEBT_Leaf(X3,fTrue) = X0) | ~sP328(X1,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP328])])).
% 59.37/10.02  tff(f73377,plain,(
% 59.37/10.02    spl2737_1784),
% 59.37/10.02    inference(avatar_split_clause,[],[f45898,f73375])).
% 59.37/10.02  tff(f73375,plain,(
% 59.37/10.02    spl2737_1784 <=> ! [X1 : $tType,X0 : $tType,X3 : X0,X4 : fun(X0,X1),X5 : set(X0),X2 : fun(X0,X1)] : (real_V3181309239436604168linear(X0,X1,X2) | ~sP318(X0,X1,X2,X3,X4,X5))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1784])])).
% 59.37/10.02  tff(f45898,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : (real_V3181309239436604168linear(X0,X1,X2) | ~sP318(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31680])).
% 59.37/10.02  tff(f31680,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : ((sP318(X0,X1,X2,X3,X4,X5) | ! [X6 : fun(X0,X1)] : (~filterlim(X0,real,aTP_Lamp_xn(fun(X0,X1),fun(X0,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) | (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK1778(X0,X1,X2,X3,X4,X5,X6))) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,sK1778(X0,X1,X2,X3,X4,X5,X6)))),aa(X0,X1,X6,sK1778(X0,X1,X2,X3,X4,X5,X6))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK1778(X0,X1,X2,X3,X4,X5,X6))),X5)))) | ~real_V3181309239436604168linear(X0,X1,X2)) & (((filterlim(X0,real,aTP_Lamp_xn(fun(X0,X1),fun(X0,real),sK1779(X0,X1,X2,X3,X4,X5)),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,sK1779(X0,X1,X2,X3,X4,X5),X9)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)),X5)))) & real_V3181309239436604168linear(X0,X1,X2)) | ~sP318(X0,X1,X2,X3,X4,X5)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1778,sK1779])],[f31677,f31679,f31678])).
% 59.37/10.02  tff(f31678,plain,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0),X6 : fun(X0,X1)] : (? [X7 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7)) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X7))),aa(X0,X1,X6,X7)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7)),X5))) => (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK1778(X0,X1,X2,X3,X4,X5,X6))) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,sK1778(X0,X1,X2,X3,X4,X5,X6)))),aa(X0,X1,X6,sK1778(X0,X1,X2,X3,X4,X5,X6))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),sK1778(X0,X1,X2,X3,X4,X5,X6))),X5))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31679,plain,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : (? [X8 : fun(X0,X1)] : (filterlim(X0,real,aTP_Lamp_xn(fun(X0,X1),fun(X0,real),X8),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,X8,X9)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)),X5)))) => (filterlim(X0,real,aTP_Lamp_xn(fun(X0,X1),fun(X0,real),sK1779(X0,X1,X2,X3,X4,X5)),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,sK1779(X0,X1,X2,X3,X4,X5),X9)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)),X5)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31677,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : fun(X0,X1),X5 : set(X0)] : ((sP318(X0,X1,X2,X3,X4,X5) | ! [X6 : fun(X0,X1)] : (~filterlim(X0,real,aTP_Lamp_xn(fun(X0,X1),fun(X0,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) | ? [X7 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7)) != aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X7))),aa(X0,X1,X6,X7)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X7)),X5)))) | ~real_V3181309239436604168linear(X0,X1,X2)) & ((? [X8 : fun(X0,X1)] : (filterlim(X0,real,aTP_Lamp_xn(fun(X0,X1),fun(X0,real),X8),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X0,zero_zero(X0),top_top(set(X0)))) & ! [X9 : X0] : (aa(X0,X1,X4,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)) = aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),aa(X0,X1,X4,X3)),aa(X0,X1,X2,X9))),aa(X0,X1,X8,X9)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X9)),X5)))) & real_V3181309239436604168linear(X0,X1,X2)) | ~sP318(X0,X1,X2,X3,X4,X5)))),
% 59.37/10.02    inference(rectify,[],[f31676])).
% 59.37/10.02  tff(f31676,plain,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType,X5 : fun(X1,X0),X2 : X1,X4 : fun(X1,X0),X3 : set(X1)] : ((sP318(X1,X0,X5,X2,X4,X3) | ! [X6 : fun(X1,X0)] : (~filterlim(X1,real,aTP_Lamp_xn(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) | ? [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) != aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)),X3)))) | ~real_V3181309239436604168linear(X1,X0,X5)) & ((? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_xn(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)),X3)))) & real_V3181309239436604168linear(X1,X0,X5)) | ~sP318(X1,X0,X5,X2,X4,X3)))),
% 59.37/10.02    inference(flattening,[],[f31675])).
% 59.37/10.02  tff(f31675,plain,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType,X5 : fun(X1,X0),X2 : X1,X4 : fun(X1,X0),X3 : set(X1)] : ((sP318(X1,X0,X5,X2,X4,X3) | (! [X6 : fun(X1,X0)] : (~filterlim(X1,real,aTP_Lamp_xn(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) | ? [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) != aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)),X3)))) | ~real_V3181309239436604168linear(X1,X0,X5))) & ((? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_xn(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)),X3)))) & real_V3181309239436604168linear(X1,X0,X5)) | ~sP318(X1,X0,X5,X2,X4,X3)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27572])).
% 59.37/10.02  tff(f27572,plain,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType,X5 : fun(X1,X0),X2 : X1,X4 : fun(X1,X0),X3 : set(X1)] : (sP318(X1,X0,X5,X2,X4,X3) <=> (? [X6 : fun(X1,X0)] : (filterlim(X1,real,aTP_Lamp_xn(fun(X1,X0),fun(X1,real),X6),topolo7230453075368039082e_nhds(real,zero_zero(real)),topolo174197925503356063within(X1,zero_zero(X1),top_top(set(X1)))) & ! [X7 : X1] : (aa(X1,X0,X4,aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,X4,X2)),aa(X1,X0,X5,X7))),aa(X1,X0,X6,X7)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X2),X7)),X3)))) & real_V3181309239436604168linear(X1,X0,X5)))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP318])])).
% 59.37/10.02  tff(f73373,plain,(
% 59.37/10.02    spl2737_1783),
% 59.37/10.02    inference(avatar_split_clause,[],[f45083,f73371])).
% 59.37/10.02  tff(f73371,plain,(
% 59.37/10.02    spl2737_1783 <=> ! [X0 : fun(nat,bool)] : (accp(nat,nat_list_decode_rel,aa(nat,nat,suc,sK1621(X0))) | ~sP295(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1783])])).
% 59.37/10.02  tff(f45083,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool)] : (accp(nat,nat_list_decode_rel,aa(nat,nat,suc,sK1621(X0))) | ~sP295(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31323])).
% 59.37/10.02  tff(f73369,plain,(
% 59.37/10.02    spl2737_1782),
% 59.37/10.02    inference(avatar_split_clause,[],[f45075,f73367])).
% 59.37/10.02  tff(f73367,plain,(
% 59.37/10.02    spl2737_1782 <=> ! [X0 : fun(nat,bool)] : (accp(nat,nth_item_rel,aa(nat,nat,suc,sK1620(X0))) | ~sP294(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1782])])).
% 59.37/10.02  tff(f45075,plain,(
% 59.37/10.02    ( ! [X0 : fun(nat,bool)] : (accp(nat,nth_item_rel,aa(nat,nat,suc,sK1620(X0))) | ~sP294(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31319])).
% 59.37/10.02  tff(f73365,plain,(
% 59.37/10.02    spl2737_1781),
% 59.37/10.02    inference(avatar_split_clause,[],[f45070,f73363])).
% 59.37/10.02  tff(f73363,plain,(
% 59.37/10.02    spl2737_1781 <=> ! [X0 : $tType,X1 : list(list(X0))] : (sK1617(X0,X1) != sK1618(X0,X1) | ~sP293(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1781])])).
% 59.37/10.02  tff(f45070,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(list(X0))] : (sK1617(X0,X1) != sK1618(X0,X1) | ~sP293(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31313])).
% 59.37/10.02  tff(f31313,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : ((bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),sK1617(X0,X1))),aa(list(X0),set(X0),set2(X0),sK1618(X0,X1))) & sK1617(X0,X1) != sK1618(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1618(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1617(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~sP293(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1617,sK1618])],[f31311,f31312])).
% 59.37/10.02  tff(f31312,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),sK1617(X0,X1))),aa(list(X0),set(X0),set2(X0),sK1618(X0,X1))) & sK1617(X0,X1) != sK1618(X0,X1) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1618(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),sK1617(X0,X1)),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31311,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (? [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) & X2 != X3 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~sP293(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31310])).
% 59.37/10.02  tff(f31310,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(list(X0))] : (? [X3 : list(X0),X4 : list(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X3)),aa(list(X0),set(X0),set2(X0),X4)) & X3 != X4 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) | ~sP293(X0,X1))),
% 59.37/10.02    inference(nnf_transformation,[],[f27532])).
% 59.37/10.02  tff(f73361,plain,(
% 59.37/10.02    spl2737_1780),
% 59.37/10.02    inference(avatar_split_clause,[],[f44888,f73359])).
% 59.37/10.02  tff(f73359,plain,(
% 59.37/10.02    spl2737_1780 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP270(sK1520(X0,X1),sK1519(X0,X1),X0) | ~sP271(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1780])])).
% 59.37/10.02  tff(f44888,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP270(sK1520(X0,X1),sK1519(X0,X1),X0) | ~sP271(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31196])).
% 59.37/10.02  tff(f31196,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP270(sK1520(X0,X1),sK1519(X0,X1),X0) & sK1518(X0,X1) != X0 & sK1517(X0,X1) != X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1517(X0,X1)),sK1518(X0,X1))),aa(nat,nat,suc,sK1519(X0,X1)),sK1520(X0,X1),sK1521(X0,X1)) = X1) | ~sP271(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1517,sK1518,sK1519,sK1520,sK1521])],[f31193,f31195,f31194])).
% 59.37/10.02  tff(f31194,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP270(X5,X4,X0) & X0 != X3 & X0 != X2 & ? [X6 : 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),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) => (sP270(sK1520(X0,X1),sK1519(X0,X1),X0) & sK1518(X0,X1) != X0 & sK1517(X0,X1) != X0 & ? [X6 : 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),product_Pair(nat,nat,sK1517(X0,X1)),sK1518(X0,X1))),aa(nat,nat,suc,sK1519(X0,X1)),sK1520(X0,X1),X6) = X1))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31195,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X6 : 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),product_Pair(nat,nat,sK1517(X0,X1)),sK1518(X0,X1))),aa(nat,nat,suc,sK1519(X0,X1)),sK1520(X0,X1),X6) = X1 => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1517(X0,X1)),sK1518(X0,X1))),aa(nat,nat,suc,sK1519(X0,X1)),sK1520(X0,X1),sK1521(X0,X1)) = X1)),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31193,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP270(X5,X4,X0) & X0 != X3 & X0 != X2 & ? [X6 : 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),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) | ~sP271(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31192])).
% 59.37/10.02  tff(f31192,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (sP270(X13,X12,X1) & X1 != X11 & X1 != X10 & ? [X14 : 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),product_Pair(nat,nat,X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP271(X1,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27500])).
% 59.37/10.02  tff(f27500,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (sP270(X13,X12,X1) & X1 != X11 & X1 != X10 & ? [X14 : 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),product_Pair(nat,nat,X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP271(X1,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP271])])).
% 59.37/10.02  tff(f73357,plain,(
% 59.37/10.02    spl2737_1779),
% 59.37/10.02    inference(avatar_split_clause,[],[f44875,f73355])).
% 59.37/10.02  tff(f73355,plain,(
% 59.37/10.02    spl2737_1779 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP266(sK1507(X0,X1),sK1506(X0,X1),X0) | ~sP267(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1779])])).
% 59.37/10.02  tff(f44875,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP266(sK1507(X0,X1),sK1506(X0,X1),X0) | ~sP267(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31180])).
% 59.37/10.02  tff(f31180,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : ((sP266(sK1507(X0,X1),sK1506(X0,X1),X0) & sK1505(X0,X1) != X0 & sK1504(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1504(X0,X1)),sK1505(X0,X1))),aa(nat,nat,suc,sK1506(X0,X1)),sK1507(X0,X1),sK1508(X0,X1))),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1504(X0,X1)),sK1505(X0,X1))),aa(nat,nat,suc,sK1506(X0,X1)),sK1507(X0,X1),sK1508(X0,X1)) = X1) | ~sP267(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1504,sK1505,sK1506,sK1507,sK1508])],[f31178,f31179])).
% 59.37/10.02  tff(f31179,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP266(X5,X4,X0) & X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,X4),X5,X6)),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) => (sP266(sK1507(X0,X1),sK1506(X0,X1),X0) & sK1505(X0,X1) != X0 & sK1504(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1504(X0,X1)),sK1505(X0,X1))),aa(nat,nat,suc,sK1506(X0,X1)),sK1507(X0,X1),sK1508(X0,X1))),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1504(X0,X1)),sK1505(X0,X1))),aa(nat,nat,suc,sK1506(X0,X1)),sK1507(X0,X1),sK1508(X0,X1)) = X1))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31178,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP266(X5,X4,X0) & X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,X4),X5,X6)),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) | ~sP267(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f31177])).
% 59.37/10.02  tff(f31177,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT),X14 : vEBT_VEBT] : (sP266(X13,X12,X1) & X1 != X11 & X1 != X10 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X10),X11)),aa(nat,nat,suc,X12),X13,X14)),X1)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP267(X1,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27495])).
% 59.37/10.02  tff(f27495,plain,(
% 59.37/10.02    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT),X14 : vEBT_VEBT] : (sP266(X13,X12,X1) & X1 != X11 & X1 != X10 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X10),X11)),aa(nat,nat,suc,X12),X13,X14)),X1)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP267(X1,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP267])])).
% 59.37/10.02  tff(f73353,plain,(
% 59.37/10.02    spl2737_1778),
% 59.37/10.02    inference(avatar_split_clause,[],[f43379,f73351])).
% 59.37/10.02  tff(f73351,plain,(
% 59.37/10.02    spl2737_1778 <=> ! [X0 : real] : (zero_zero(real) = aa(real,real,cos(real),X0) | ~sP243(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1778])])).
% 59.37/10.02  tff(f43379,plain,(
% 59.37/10.02    ( ! [X0 : real] : (zero_zero(real) = aa(real,real,cos(real),X0) | ~sP243(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30649])).
% 59.37/10.02  tff(f30649,plain,(
% 59.37/10.02    ! [X0 : real] : ((zero_zero(real) = aa(real,real,cos(real),X0) | ~sP243(X0)) & (sP243(X0) | zero_zero(real) != aa(real,real,cos(real),X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27455])).
% 59.37/10.02  tff(f27455,plain,(
% 59.37/10.02    ! [X0 : real] : (zero_zero(real) = aa(real,real,cos(real),X0) <=> sP243(X0))),
% 59.37/10.02    inference(definition_folding,[],[f14637,f27454])).
% 59.37/10.02  tff(f27454,plain,(
% 59.37/10.02    ! [X0 : real] : (sP243(X0) <=> (? [X1 : nat] : (aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) = X0 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ? [X2 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X2)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))) = X0 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2)))))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP243])])).
% 59.37/10.02  tff(f14637,plain,(
% 59.37/10.02    ! [X0 : real] : (zero_zero(real) = aa(real,real,cos(real),X0) <=> (? [X1 : nat] : (aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) = X0 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ? [X2 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X2)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))) = X0 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2)))))),
% 59.37/10.02    inference(rectify,[],[f2991])).
% 59.37/10.02  tff(f2991,axiom,(
% 59.37/10.02    ! [X14 : real] : (zero_zero(real) = aa(real,real,cos(real),X14) <=> (? [X62 : nat] : (aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X62)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) = X14 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62))) | ? [X62 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X62)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))) = X14 & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62)))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2990_cos__zero__iff)).
% 59.37/10.02  tff(f73349,plain,(
% 59.37/10.02    spl2737_1777),
% 59.37/10.02    inference(avatar_split_clause,[],[f43378,f73347])).
% 59.37/10.02  tff(f73347,plain,(
% 59.37/10.02    spl2737_1777 <=> ! [X0 : real] : (sP243(X0) | zero_zero(real) != aa(real,real,cos(real),X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1777])])).
% 59.37/10.02  tff(f43378,plain,(
% 59.37/10.02    ( ! [X0 : real] : (sP243(X0) | zero_zero(real) != aa(real,real,cos(real),X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30649])).
% 59.37/10.02  tff(f73345,plain,(
% 59.37/10.02    spl2737_1776),
% 59.37/10.02    inference(avatar_split_clause,[],[f43301,f73343])).
% 59.37/10.02  tff(f73343,plain,(
% 59.37/10.02    spl2737_1776 <=> ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1264(X0),sK1265(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1776])])).
% 59.37/10.02  tff(f43301,plain,(
% 59.37/10.02    ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1264(X0),sK1265(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30573])).
% 59.37/10.02  tff(f30573,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : ((vEBT_invar_vebt(X0,one_one(nat)) | ! [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) != X0) & (vEBT_Leaf(sK1264(X0),sK1265(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1264,sK1265])],[f30571,f30572])).
% 59.37/10.02  tff(f30572,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0 => vEBT_Leaf(sK1264(X0),sK1265(X0)) = X0)),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f30571,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : ((vEBT_invar_vebt(X0,one_one(nat)) | ! [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) != X0) & (? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))))),
% 59.37/10.02    inference(rectify,[],[f30570])).
% 59.37/10.02  tff(f30570,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : ((vEBT_invar_vebt(X0,one_one(nat)) | ! [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) != X0) & (? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))))),
% 59.37/10.02    inference(nnf_transformation,[],[f14605])).
% 59.37/10.02  tff(f14605,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,one_one(nat)) <=> ? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0)),
% 59.37/10.02    inference(rectify,[],[f288])).
% 59.37/10.02  tff(f288,axiom,(
% 59.37/10.02    ! [X41 : vEBT_VEBT] : (vEBT_invar_vebt(X41,one_one(nat)) <=> ? [X74 : bool,X75 : bool] : vEBT_Leaf(X74,X75) = X41)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_deg1Leaf)).
% 59.37/10.02  tff(f73341,plain,(
% 59.37/10.02    spl2737_1775 | ~spl2737_180 | ~spl2737_936),
% 59.37/10.02    inference(avatar_split_clause,[],[f69154,f68801,f65119,f73338])).
% 59.37/10.02  tff(f73338,plain,(
% 59.37/10.02    spl2737_1775 <=> sP138(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1775])])).
% 59.37/10.02  tff(f69154,plain,(
% 59.37/10.02    sP138(code_integer) | (~spl2737_180 | ~spl2737_936)),
% 59.37/10.02    inference(resolution,[],[f68802,f65121])).
% 59.37/10.02  tff(f73336,plain,(
% 59.37/10.02    spl2737_1774),
% 59.37/10.02    inference(avatar_split_clause,[],[f43174,f73334])).
% 59.37/10.02  tff(f73334,plain,(
% 59.37/10.02    spl2737_1774 <=> ! [X0 : $tType] : (sums(X0,aTP_Lamp_bl(nat,X0),zero_zero(X0)) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1774])])).
% 59.37/10.02  tff(f43174,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (sums(X0,aTP_Lamp_bl(nat,X0),zero_zero(X0)) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23615])).
% 59.37/10.02  tff(f23615,plain,(
% 59.37/10.02    ! [X0 : $tType] : (sums(X0,aTP_Lamp_bl(nat,X0),zero_zero(X0)) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.02    inference(flattening,[],[f23614])).
% 59.37/10.02  tff(f23614,plain,(
% 59.37/10.02    ! [X0 : $tType] : (sums(X0,aTP_Lamp_bl(nat,X0),zero_zero(X0)) | (~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f3720])).
% 59.37/10.02  tff(f3720,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & comm_monoid_add(X0)) => sums(X0,aTP_Lamp_bl(nat,X0),zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3719_sums__zero)).
% 59.37/10.02  tff(f73332,plain,(
% 59.37/10.02    spl2737_1773),
% 59.37/10.02    inference(avatar_split_clause,[],[f43020,f73330])).
% 59.37/10.02  tff(f73330,plain,(
% 59.37/10.02    spl2737_1773 <=> ! [X0 : $tType,X1 : X0] : (power_int(X0,X1,one_one(int)) = X1 | ~monoid_mult(X0) | ~inverse(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1773])])).
% 59.37/10.02  tff(f43020,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (power_int(X0,X1,one_one(int)) = X1 | ~monoid_mult(X0) | ~inverse(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23403])).
% 59.37/10.02  tff(f23403,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : power_int(X0,X1,one_one(int)) = X1 | ~monoid_mult(X0) | ~inverse(X0))),
% 59.37/10.02    inference(flattening,[],[f23402])).
% 59.37/10.02  tff(f23402,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : power_int(X0,X1,one_one(int)) = X1 | (~monoid_mult(X0) | ~inverse(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14437])).
% 59.37/10.02  tff(f14437,plain,(
% 59.37/10.02    ! [X0 : $tType] : ((monoid_mult(X0) & inverse(X0)) => ! [X1 : X0] : power_int(X0,X1,one_one(int)) = X1)),
% 59.37/10.02    inference(rectify,[],[f2038])).
% 59.37/10.02  tff(f2038,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((monoid_mult(X0) & inverse(X0)) => ! [X15 : X0] : power_int(X0,X15,one_one(int)) = X15)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2037_power__int__1__right)).
% 59.37/10.02  tff(f73328,plain,(
% 59.37/10.02    spl2737_1772),
% 59.37/10.02    inference(avatar_split_clause,[],[f42815,f73326])).
% 59.37/10.02  tff(f73326,plain,(
% 59.37/10.02    spl2737_1772 <=> ! [X0 : $tType] : (zero_zero(X0) = sin(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1772])])).
% 59.37/10.02  tff(f42815,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = sin(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23039])).
% 59.37/10.02  tff(f23039,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = sin(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23038])).
% 59.37/10.02  tff(f23038,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = sin(X0,zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f2698])).
% 59.37/10.02  tff(f2698,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => zero_zero(X0) = sin(X0,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2697_sin__zero)).
% 59.37/10.02  tff(f73324,plain,(
% 59.37/10.02    spl2737_1771),
% 59.37/10.02    inference(avatar_split_clause,[],[f42814,f73322])).
% 59.37/10.02  tff(f73322,plain,(
% 59.37/10.02    spl2737_1771 <=> ! [X0 : $tType] : (zero_zero(X0) = sinh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1771])])).
% 59.37/10.02  tff(f42814,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = sinh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23037])).
% 59.37/10.02  tff(f23037,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = sinh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23036])).
% 59.37/10.02  tff(f23036,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = sinh(X0,zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f3362])).
% 59.37/10.02  tff(f3362,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => zero_zero(X0) = sinh(X0,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3361_sinh__0)).
% 59.37/10.02  tff(f73320,plain,(
% 59.37/10.02    spl2737_1770),
% 59.37/10.02    inference(avatar_split_clause,[],[f42813,f73318])).
% 59.37/10.02  tff(f73318,plain,(
% 59.37/10.02    spl2737_1770 <=> ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1770])])).
% 59.37/10.02  tff(f42813,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23035])).
% 59.37/10.02  tff(f23035,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23034])).
% 59.37/10.02  tff(f23034,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = exp(X0,zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f1639])).
% 59.37/10.02  tff(f1639,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => one_one(X0) = exp(X0,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1638_exp__zero)).
% 59.37/10.02  tff(f73316,plain,(
% 59.37/10.02    spl2737_1769),
% 59.37/10.02    inference(avatar_split_clause,[],[f42812,f73314])).
% 59.37/10.02  tff(f73314,plain,(
% 59.37/10.02    spl2737_1769 <=> ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1769])])).
% 59.37/10.02  tff(f42812,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23033])).
% 59.37/10.02  tff(f23033,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23032])).
% 59.37/10.02  tff(f23032,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = cosh(X0,zero_zero(X0)) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f1969])).
% 59.37/10.02  tff(f1969,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => one_one(X0) = cosh(X0,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1968_cosh__0)).
% 59.37/10.02  tff(f73312,plain,(
% 59.37/10.02    spl2737_1768),
% 59.37/10.02    inference(avatar_split_clause,[],[f42493,f73310])).
% 59.37/10.02  tff(f73310,plain,(
% 59.37/10.02    spl2737_1768 <=> ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1038(X0),sK1039(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1768])])).
% 59.37/10.02  tff(f42493,plain,(
% 59.37/10.02    ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1038(X0),sK1039(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30218])).
% 59.37/10.02  tff(f30218,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : (vEBT_Leaf(sK1038(X0),sK1039(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1038,sK1039])],[f22680,f30217])).
% 59.37/10.02  tff(f30217,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : (? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0 => vEBT_Leaf(sK1038(X0),sK1039(X0)) = X0)),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f22680,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : (? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0 | ~vEBT_invar_vebt(X0,one_one(nat)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14020])).
% 59.37/10.02  tff(f14020,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,one_one(nat)) => ? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0)),
% 59.37/10.02    inference(rectify,[],[f289])).
% 59.37/10.02  tff(f289,axiom,(
% 59.37/10.02    ! [X41 : vEBT_VEBT] : (vEBT_invar_vebt(X41,one_one(nat)) => ? [X58 : bool,X59 : bool] : vEBT_Leaf(X58,X59) = X41)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_deg__1__Leaf)).
% 59.37/10.02  tff(f73308,plain,(
% 59.37/10.02    spl2737_1767),
% 59.37/10.02    inference(avatar_split_clause,[],[f41902,f73306])).
% 59.37/10.02  tff(f73306,plain,(
% 59.37/10.02    spl2737_1767 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ot(X0,X0),X1) = X1 | ~linorder(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1767])])).
% 59.37/10.02  tff(f41902,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ot(X0,X0),X1) = X1 | ~linorder(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f22321])).
% 59.37/10.02  tff(f22321,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_ot(X0,X0),X1) = X1 | ~linorder(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13738])).
% 59.37/10.02  tff(f13738,plain,(
% 59.37/10.02    ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_ot(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8956])).
% 59.37/10.02  tff(f8956,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (linorder(X0) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_ot(X0,X0),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8955_ATP_Olambda__840)).
% 59.37/10.02  tff(f73304,plain,(
% 59.37/10.02    spl2737_1766),
% 59.37/10.02    inference(avatar_split_clause,[],[f41635,f73302])).
% 59.37/10.02  tff(f73302,plain,(
% 59.37/10.02    spl2737_1766 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_mx(X0,X0),X1) = X1 | ~comm_monoid_add(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1766])])).
% 59.37/10.02  tff(f41635,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_mx(X0,X0),X1) = X1 | ~comm_monoid_add(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f22076])).
% 59.37/10.02  tff(f22076,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_mx(X0,X0),X1) = X1 | ~comm_monoid_add(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13522])).
% 59.37/10.02  tff(f13522,plain,(
% 59.37/10.02    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_mx(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8955])).
% 59.37/10.02  tff(f8955,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (comm_monoid_add(X0) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_mx(X0,X0),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8954_ATP_Olambda__839)).
% 59.37/10.02  tff(f73300,plain,(
% 59.37/10.02    spl2737_1765),
% 59.37/10.02    inference(avatar_split_clause,[],[f41452,f73298])).
% 59.37/10.02  tff(f73298,plain,(
% 59.37/10.02    spl2737_1765 <=> ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1765])])).
% 59.37/10.02  tff(f41452,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : num] : (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21918])).
% 59.37/10.02  tff(f21918,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : num] : zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1) | ~semiring_char_0(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13386])).
% 59.37/10.02  tff(f13386,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : num] : zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f2176])).
% 59.37/10.02  tff(f2176,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X8 : num] : zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X8))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2175_zero__neq__numeral)).
% 59.37/10.02  tff(f73296,plain,(
% 59.37/10.02    spl2737_1764 | ~spl2737_183 | ~spl2737_935),
% 59.37/10.02    inference(avatar_split_clause,[],[f69153,f68797,f65134,f73293])).
% 59.37/10.02  tff(f73293,plain,(
% 59.37/10.02    spl2737_1764 <=> sP136(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1764])])).
% 59.37/10.02  tff(f68797,plain,(
% 59.37/10.02    spl2737_935 <=> ! [X0 : $tType] : (sP136(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_935])])).
% 59.37/10.02  tff(f69153,plain,(
% 59.37/10.02    sP136(int) | (~spl2737_183 | ~spl2737_935)),
% 59.37/10.02    inference(resolution,[],[f68798,f65136])).
% 59.37/10.02  tff(f68798,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP136(X0)) ) | ~spl2737_935),
% 59.37/10.02    inference(avatar_component_clause,[],[f68797])).
% 59.37/10.02  tff(f73291,plain,(
% 59.37/10.02    spl2737_1763),
% 59.37/10.02    inference(avatar_split_clause,[],[f41400,f73289])).
% 59.37/10.02  tff(f73289,plain,(
% 59.37/10.02    spl2737_1763 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ag(X0,X0),X1) = X1 | ~monoid_mult(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1763])])).
% 59.37/10.02  tff(f41400,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ag(X0,X0),X1) = X1 | ~monoid_mult(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21869])).
% 59.37/10.02  tff(f21869,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_ag(X0,X0),X1) = X1 | ~monoid_mult(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13343])).
% 59.37/10.02  tff(f13343,plain,(
% 59.37/10.02    ! [X0 : $tType] : (monoid_mult(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_ag(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8957])).
% 59.37/10.02  tff(f8957,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (monoid_mult(X0) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_ag(X0,X0),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8956_ATP_Olambda__841)).
% 59.37/10.02  tff(f73287,plain,(
% 59.37/10.02    spl2737_1762),
% 59.37/10.02    inference(avatar_split_clause,[],[f41364,f73285])).
% 59.37/10.02  tff(f73285,plain,(
% 59.37/10.02    spl2737_1762 <=> ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),one2) | ~numeral(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1762])])).
% 59.37/10.02  tff(f41364,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),one2) | ~numeral(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21840])).
% 59.37/10.02  tff(f21840,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(num,X0,numeral_numeral(X0),one2) | ~numeral(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f2434])).
% 59.37/10.02  tff(f2434,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (numeral(X0) => one_one(X0) = aa(num,X0,numeral_numeral(X0),one2))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2433_numeral__One)).
% 59.37/10.02  tff(f73283,plain,(
% 59.37/10.02    spl2737_1761),
% 59.37/10.02    inference(avatar_split_clause,[],[f41331,f73281])).
% 59.37/10.02  tff(f73281,plain,(
% 59.37/10.02    spl2737_1761 <=> ! [X0 : $tType] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fFalse) | ~zero_neq_one(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1761])])).
% 59.37/10.02  tff(f41331,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fFalse) | ~zero_neq_one(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21830])).
% 59.37/10.02  tff(f21830,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fFalse) | ~zero_neq_one(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f3178])).
% 59.37/10.02  tff(f3178,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (zero_neq_one(X0) => zero_zero(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fFalse))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3177_of__bool__eq_I1_J)).
% 59.37/10.02  tff(f73279,plain,(
% 59.37/10.02    spl2737_1760),
% 59.37/10.02    inference(avatar_split_clause,[],[f41330,f73277])).
% 59.37/10.02  tff(f73277,plain,(
% 59.37/10.02    spl2737_1760 <=> ! [X0 : $tType] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fTrue) | ~zero_neq_one(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1760])])).
% 59.37/10.02  tff(f41330,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fTrue) | ~zero_neq_one(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21829])).
% 59.37/10.02  tff(f21829,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fTrue) | ~zero_neq_one(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f3181])).
% 59.37/10.02  tff(f3181,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (zero_neq_one(X0) => one_one(X0) = aa(bool,X0,zero_neq_one_of_bool(X0),fTrue))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3180_of__bool__eq_I2_J)).
% 59.37/10.02  tff(f73275,plain,(
% 59.37/10.02    spl2737_1759),
% 59.37/10.02    inference(avatar_split_clause,[],[f41076,f73273])).
% 59.37/10.02  tff(f73273,plain,(
% 59.37/10.02    spl2737_1759 <=> ! [X0 : $tType,X1 : set(set(X0))] : (inj_on(set(X0),set(X0),uminus_uminus(set(X0)),X1) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1759])])).
% 59.37/10.02  tff(f41076,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : set(set(X0))] : (inj_on(set(X0),set(X0),uminus_uminus(set(X0)),X1) | ~topolo4958980785337419405_space(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21600])).
% 59.37/10.02  tff(f21600,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : set(set(X0))] : inj_on(set(X0),set(X0),uminus_uminus(set(X0)),X1) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13142])).
% 59.37/10.02  tff(f13142,plain,(
% 59.37/10.02    ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(set(X0))] : inj_on(set(X0),set(X0),uminus_uminus(set(X0)),X1))),
% 59.37/10.02    inference(rectify,[],[f6204])).
% 59.37/10.02  tff(f6204,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X30 : set(set(X0))] : inj_on(set(X0),set(X0),uminus_uminus(set(X0)),X30))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6203_inj__setminus)).
% 59.37/10.02  tff(f73271,plain,(
% 59.37/10.02    spl2737_1758),
% 59.37/10.02    inference(avatar_split_clause,[],[f40980,f73269])).
% 59.37/10.02  tff(f73269,plain,(
% 59.37/10.02    spl2737_1758 <=> ! [X0 : $tType,X1 : X0] : (order_strict_mono(X0,X0,aTP_Lamp_ls(X0,fun(X0,X0),X1)) | ~linordered_semidom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1758])])).
% 59.37/10.02  tff(f40980,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (order_strict_mono(X0,X0,aTP_Lamp_ls(X0,fun(X0,X0),X1)) | ~linordered_semidom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21495])).
% 59.37/10.02  tff(f21495,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : order_strict_mono(X0,X0,aTP_Lamp_ls(X0,fun(X0,X0),X1)) | ~linordered_semidom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13067])).
% 59.37/10.02  tff(f13067,plain,(
% 59.37/10.02    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X1 : X0] : order_strict_mono(X0,X0,aTP_Lamp_ls(X0,fun(X0,X0),X1)))),
% 59.37/10.02    inference(rectify,[],[f7104])).
% 59.37/10.02  tff(f7104,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (linordered_semidom(X0) => ! [X18 : X0] : order_strict_mono(X0,X0,aTP_Lamp_ls(X0,fun(X0,X0),X18)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7103_strict__mono__add)).
% 59.37/10.02  tff(f73267,plain,(
% 59.37/10.02    spl2737_1757),
% 59.37/10.02    inference(avatar_split_clause,[],[f40968,f73265])).
% 59.37/10.02  tff(f73265,plain,(
% 59.37/10.02    spl2737_1757 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_xt(X0,X0),X1) = X1 | ~topological_t2_space(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1757])])).
% 59.37/10.02  tff(f40968,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_xt(X0,X0),X1) = X1 | ~topological_t2_space(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21478])).
% 59.37/10.02  tff(f21478,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_xt(X0,X0),X1) = X1 | ~topological_t2_space(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13056])).
% 59.37/10.02  tff(f13056,plain,(
% 59.37/10.02    ! [X0 : $tType] : (topological_t2_space(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_xt(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8953])).
% 59.37/10.02  tff(f8953,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (topological_t2_space(X0) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_xt(X0,X0),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8952_ATP_Olambda__837)).
% 59.37/10.02  tff(f73263,plain,(
% 59.37/10.02    spl2737_1756),
% 59.37/10.02    inference(avatar_split_clause,[],[f40967,f73261])).
% 59.37/10.02  tff(f73261,plain,(
% 59.37/10.02    spl2737_1756 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ya(X0,X0),X1) = X1 | ~topological_t2_space(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1756])])).
% 59.37/10.02  tff(f40967,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_ya(X0,X0),X1) = X1 | ~topological_t2_space(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21477])).
% 59.37/10.02  tff(f21477,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_ya(X0,X0),X1) = X1 | ~topological_t2_space(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13055])).
% 59.37/10.02  tff(f13055,plain,(
% 59.37/10.02    ! [X0 : $tType] : (topological_t2_space(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_ya(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8950])).
% 59.37/10.02  tff(f8950,axiom,(
% 59.37/10.02    ! [X2 : $tType] : (topological_t2_space(X2) => ! [X94 : X2] : aa(X2,X2,aTP_Lamp_ya(X2,X2),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8949_ATP_Olambda__834)).
% 59.37/10.02  tff(f73259,plain,(
% 59.37/10.02    spl2737_1755),
% 59.37/10.02    inference(avatar_split_clause,[],[f40714,f73257])).
% 59.37/10.02  tff(f73257,plain,(
% 59.37/10.02    spl2737_1755 <=> ! [X0 : $tType] : (semiring_1_Nats(X0) = collect(X0,aTP_Lamp_ok(X0,bool)) | ~ring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1755])])).
% 59.37/10.02  tff(f40714,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (semiring_1_Nats(X0) = collect(X0,aTP_Lamp_ok(X0,bool)) | ~ring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21246])).
% 59.37/10.02  tff(f21246,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_1_Nats(X0) = collect(X0,aTP_Lamp_ok(X0,bool)) | ~ring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5359])).
% 59.37/10.02  tff(f5359,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_1(X0) => semiring_1_Nats(X0) = collect(X0,aTP_Lamp_ok(X0,bool)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5358_Nats__altdef1)).
% 59.37/10.02  tff(f73255,plain,(
% 59.37/10.02    spl2737_1754),
% 59.37/10.02    inference(avatar_split_clause,[],[f40713,f73253])).
% 59.37/10.02  tff(f73253,plain,(
% 59.37/10.02    spl2737_1754 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~ring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1754])])).
% 59.37/10.02  tff(f40713,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~ring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21245])).
% 59.37/10.02  tff(f21245,plain,(
% 59.37/10.02    ! [X0 : $tType] : (~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))) | ~ring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f4797])).
% 59.37/10.02  tff(f4797,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,aa(X0,X0,uminus_uminus(X0),one_one(X0))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4796_not__iszero__neg__1)).
% 59.37/10.02  tff(f73251,plain,(
% 59.37/10.02    spl2737_1753 | ~spl2737_181 | ~spl2737_935),
% 59.37/10.02    inference(avatar_split_clause,[],[f69152,f68797,f65124,f73248])).
% 59.37/10.02  tff(f73248,plain,(
% 59.37/10.02    spl2737_1753 <=> sP136(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1753])])).
% 59.37/10.02  tff(f69152,plain,(
% 59.37/10.02    sP136(rat) | (~spl2737_181 | ~spl2737_935)),
% 59.37/10.02    inference(resolution,[],[f68798,f65126])).
% 59.37/10.02  tff(f73246,plain,(
% 59.37/10.02    spl2737_1752),
% 59.37/10.02    inference(avatar_split_clause,[],[f39972,f73244])).
% 59.37/10.02  tff(f73244,plain,(
% 59.37/10.02    spl2737_1752 <=> ! [X0 : $tType] : (semiring_1_Nats(X0) = collect(X0,aTP_Lamp_op(X0,bool)) | ~linordered_idom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1752])])).
% 59.37/10.02  tff(f39972,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (semiring_1_Nats(X0) = collect(X0,aTP_Lamp_op(X0,bool)) | ~linordered_idom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20767])).
% 59.37/10.02  tff(f20767,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_1_Nats(X0) = collect(X0,aTP_Lamp_op(X0,bool)) | ~linordered_idom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5415])).
% 59.37/10.02  tff(f5415,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (linordered_idom(X0) => semiring_1_Nats(X0) = collect(X0,aTP_Lamp_op(X0,bool)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5414_Nats__altdef2)).
% 59.37/10.02  tff(f73242,plain,(
% 59.37/10.02    spl2737_1751),
% 59.37/10.02    inference(avatar_split_clause,[],[f39752,f73240])).
% 59.37/10.02  tff(f73240,plain,(
% 59.37/10.02    spl2737_1751 <=> ! [X1 : $tType,X2 : X1,X0 : X1] : (zero_zero(X1) != sK785(X1,X0,X2) | ~sP162(X1,X0,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1751])])).
% 59.37/10.02  tff(f39752,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : X1,X0 : X1] : (zero_zero(X1) != sK785(X1,X0,X2) | ~sP162(X1,X0,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f29190])).
% 59.37/10.02  tff(f73238,plain,(
% 59.37/10.02    spl2737_1750),
% 59.37/10.02    inference(avatar_split_clause,[],[f39504,f73236])).
% 59.37/10.02  tff(f73236,plain,(
% 59.37/10.02    spl2737_1750 <=> ! [X0 : $tType,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,sK766(X0,X1))) | ~sP151(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1750])])).
% 59.37/10.02  tff(f39504,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,sK766(X0,X1))) | ~sP151(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f29082])).
% 59.37/10.02  tff(f29082,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,bool)] : ((~pp(aa(X0,bool,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),sK767(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),sK766(X0,X1))))) & sK766(X0,X1) = divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),sK767(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),sK766(X0,X1))),aa(num,X0,numeral_numeral(X0),bit0(one2))) & pp(aa(X0,bool,X1,sK766(X0,X1)))) | ~sP151(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK766,sK767])],[f29080,f29081])).
% 59.37/10.02  tff(f29081,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X2 : X0,X3 : bool] : (~pp(aa(X0,bool,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X2)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X2)),aa(num,X0,numeral_numeral(X0),bit0(one2))) = X2 & pp(aa(X0,bool,X1,X2))) => (~pp(aa(X0,bool,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),sK767(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),sK766(X0,X1))))) & sK766(X0,X1) = divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),sK767(X0,X1))),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),sK766(X0,X1))),aa(num,X0,numeral_numeral(X0),bit0(one2))) & pp(aa(X0,bool,X1,sK766(X0,X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f29080,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X2 : X0,X3 : bool] : (~pp(aa(X0,bool,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X2)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X3)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X2)),aa(num,X0,numeral_numeral(X0),bit0(one2))) = X2 & pp(aa(X0,bool,X1,X2))) | ~sP151(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f29079])).
% 59.37/10.02  tff(f29079,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X4 : X0,X5 : bool] : (~pp(aa(X0,bool,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X5)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X4)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X5)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X4)),aa(num,X0,numeral_numeral(X0),bit0(one2))) = X4 & pp(aa(X0,bool,X1,X4))) | ~sP151(X0,X1))),
% 59.37/10.02    inference(nnf_transformation,[],[f27310])).
% 59.37/10.02  tff(f27310,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,bool)] : (? [X4 : X0,X5 : bool] : (~pp(aa(X0,bool,X1,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X5)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X4)))) & divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(bool,X0,zero_neq_one_of_bool(X0),X5)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X4)),aa(num,X0,numeral_numeral(X0),bit0(one2))) = X4 & pp(aa(X0,bool,X1,X4))) | ~sP151(X0,X1))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP151])])).
% 59.37/10.02  tff(f73234,plain,(
% 59.37/10.02    spl2737_1749),
% 59.37/10.02    inference(avatar_split_clause,[],[f39098,f73232])).
% 59.37/10.02  tff(f73232,plain,(
% 59.37/10.02    spl2737_1749 <=> ! [X2 : $tType,X0 : X2,X1 : X2] : (zero_zero(X2) != sK762(X2,X0,X1) | ~sP129(X2,X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1749])])).
% 59.37/10.02  tff(f39098,plain,(
% 59.37/10.02    ( ! [X2 : $tType,X0 : X2,X1 : X2] : (zero_zero(X2) != sK762(X2,X0,X1) | ~sP129(X2,X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28962])).
% 59.37/10.02  tff(f73230,plain,(
% 59.37/10.02    spl2737_1748),
% 59.37/10.02    inference(avatar_split_clause,[],[f39094,f73228])).
% 59.37/10.02  tff(f73228,plain,(
% 59.37/10.02    spl2737_1748 <=> ! [X2 : $tType,X0 : X2,X1 : X2] : (zero_zero(X2) = modulo_modulo(X2,X0,X1) | ~sP130(X2,X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1748])])).
% 59.37/10.02  tff(f39094,plain,(
% 59.37/10.02    ( ! [X2 : $tType,X0 : X2,X1 : X2] : (zero_zero(X2) = modulo_modulo(X2,X0,X1) | ~sP130(X2,X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28958])).
% 59.37/10.02  tff(f28958,plain,(
% 59.37/10.02    ! [X0 : X2,X1 : X2,X2 : $tType] : ((aa(X2,X2,aa(X2,fun(X2,X2),times_times(X2),divide_divide(X2,X0,X1)),X1) = X0 & zero_zero(X2) = modulo_modulo(X2,X0,X1) & zero_zero(X2) != X1) | ~sP130(X2,X0,X1))),
% 59.37/10.02    inference(rectify,[],[f28957])).
% 59.37/10.02  tff(f28957,plain,(
% 59.37/10.02    ! [X2 : X0,X1 : X0,X0 : $tType] : ((aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),divide_divide(X0,X2,X1)),X1) = X2 & zero_zero(X0) = modulo_modulo(X0,X2,X1) & zero_zero(X0) != X1) | ~sP130(X0,X2,X1))),
% 59.37/10.02    inference(nnf_transformation,[],[f27278])).
% 59.37/10.02  tff(f73226,plain,(
% 59.37/10.02    spl2737_1747),
% 59.37/10.02    inference(avatar_split_clause,[],[f38407,f73224])).
% 59.37/10.02  tff(f73224,plain,(
% 59.37/10.02    spl2737_1747 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_xq(X0,X0),X1) = X1 | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1747])])).
% 59.37/10.02  tff(f38407,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_xq(X0,X0),X1) = X1 | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19683])).
% 59.37/10.02  tff(f19683,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_xq(X0,X0),X1) = X1 | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11553])).
% 59.37/10.02  tff(f11553,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_xq(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8951])).
% 59.37/10.02  tff(f8951,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_xq(X0,X0),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8950_ATP_Olambda__835)).
% 59.37/10.02  tff(f73222,plain,(
% 59.37/10.02    spl2737_1746),
% 59.37/10.02    inference(avatar_split_clause,[],[f38406,f73220])).
% 59.37/10.02  tff(f73220,plain,(
% 59.37/10.02    spl2737_1746 <=> ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,zero_zero(X0),X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1746])])).
% 59.37/10.02  tff(f38406,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,zero_zero(X0),X1) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19682])).
% 59.37/10.02  tff(f19682,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,zero_zero(X0),X1) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11552])).
% 59.37/10.02  tff(f11552,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,zero_zero(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f2071])).
% 59.37/10.02  tff(f2071,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X14 : X0] : real_V7770717601297561774m_norm(X0,X14) = real_V557655796197034286t_dist(X0,zero_zero(X0),X14))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2070_dist__0__norm)).
% 59.37/10.02  tff(f73218,plain,(
% 59.37/10.02    spl2737_1745),
% 59.37/10.02    inference(avatar_split_clause,[],[f38405,f73216])).
% 59.37/10.02  tff(f73216,plain,(
% 59.37/10.02    spl2737_1745 <=> ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,X1,zero_zero(X0)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1745])])).
% 59.37/10.02  tff(f38405,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,X1,zero_zero(X0)) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19681])).
% 59.37/10.02  tff(f19681,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,X1,zero_zero(X0)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11551])).
% 59.37/10.02  tff(f11551,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : X0] : real_V7770717601297561774m_norm(X0,X1) = real_V557655796197034286t_dist(X0,X1,zero_zero(X0)))),
% 59.37/10.02    inference(rectify,[],[f2166])).
% 59.37/10.02  tff(f2166,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X14 : X0] : real_V7770717601297561774m_norm(X0,X14) = real_V557655796197034286t_dist(X0,X14,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2165_norm__conv__dist)).
% 59.37/10.02  tff(f73214,plain,(
% 59.37/10.02    spl2737_1744),
% 59.37/10.02    inference(avatar_split_clause,[],[f38316,f73212])).
% 59.37/10.02  tff(f73212,plain,(
% 59.37/10.02    spl2737_1744 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_qr(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1744])])).
% 59.37/10.02  tff(f38316,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_qr(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19591])).
% 59.37/10.02  tff(f19591,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_qr(X0,X0),X1) = X1 | ~real_V3459762299906320749_field(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11479])).
% 59.37/10.02  tff(f11479,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_qr(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8952])).
% 59.37/10.02  tff(f8952,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_qr(X0,X0),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8951_ATP_Olambda__836)).
% 59.37/10.02  tff(f73210,plain,(
% 59.37/10.02    spl2737_1743),
% 59.37/10.02    inference(avatar_split_clause,[],[f37482,f73208])).
% 59.37/10.02  tff(f73208,plain,(
% 59.37/10.02    spl2737_1743 <=> ! [X0 : $tType,X1 : X0] : (archimedean_frac(X0,X1) = archimedean_frac(X0,archimedean_frac(X0,X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1743])])).
% 59.37/10.02  tff(f37482,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (archimedean_frac(X0,X1) = archimedean_frac(X0,archimedean_frac(X0,X1)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19176])).
% 59.37/10.02  tff(f19176,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : archimedean_frac(X0,X1) = archimedean_frac(X0,archimedean_frac(X0,X1)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11143])).
% 59.37/10.02  tff(f11143,plain,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X1 : X0] : archimedean_frac(X0,X1) = archimedean_frac(X0,archimedean_frac(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f1552])).
% 59.37/10.02  tff(f1552,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => ! [X14 : X0] : archimedean_frac(X0,X14) = archimedean_frac(X0,archimedean_frac(X0,X14)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1551_frac__frac)).
% 59.37/10.02  tff(f73206,plain,(
% 59.37/10.02    spl2737_1742 | ~spl2737_182 | ~spl2737_935),
% 59.37/10.02    inference(avatar_split_clause,[],[f69151,f68797,f65129,f73203])).
% 59.37/10.02  tff(f73203,plain,(
% 59.37/10.02    spl2737_1742 <=> sP136(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1742])])).
% 59.37/10.02  tff(f69151,plain,(
% 59.37/10.02    sP136(real) | (~spl2737_182 | ~spl2737_935)),
% 59.37/10.02    inference(resolution,[],[f68798,f65131])).
% 59.37/10.02  tff(f73201,plain,(
% 59.37/10.02    spl2737_1741),
% 59.37/10.02    inference(avatar_split_clause,[],[f37137,f73199])).
% 59.37/10.02  tff(f73199,plain,(
% 59.37/10.02    spl2737_1741 <=> ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (zero_zero(real) = real_V7696804695334737415tation(X0,X1,zero_zero(X0),X2) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1741])])).
% 59.37/10.02  tff(f37137,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : set(X0)] : (zero_zero(real) = real_V7696804695334737415tation(X0,X1,zero_zero(X0),X2) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18928])).
% 59.37/10.02  tff(f18928,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : set(X0),X2 : X0] : zero_zero(real) = real_V7696804695334737415tation(X0,X1,zero_zero(X0),X2) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10944])).
% 59.37/10.02  tff(f10944,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0),X2 : X0] : zero_zero(real) = real_V7696804695334737415tation(X0,X1,zero_zero(X0),X2))),
% 59.37/10.02    inference(rectify,[],[f7339])).
% 59.37/10.02  tff(f7339,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X344 : set(X0),X63 : X0] : zero_zero(real) = real_V7696804695334737415tation(X0,X344,zero_zero(X0),X63))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7338_representation__zero)).
% 59.37/10.02  tff(f73197,plain,(
% 59.37/10.02    spl2737_1740),
% 59.37/10.02    inference(avatar_split_clause,[],[f36915,f73195])).
% 59.37/10.02  tff(f73195,plain,(
% 59.37/10.02    spl2737_1740 <=> ! [X0 : $tType] : (filterlim(nat,X0,semiring_1_of_nat(X0),at_infinity(X0),at_top(nat)) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1740])])).
% 59.37/10.02  tff(f36915,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (filterlim(nat,X0,semiring_1_of_nat(X0),at_infinity(X0),at_top(nat)) | ~real_V2822296259951069270ebra_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18777])).
% 59.37/10.02  tff(f18777,plain,(
% 59.37/10.02    ! [X0 : $tType] : (filterlim(nat,X0,semiring_1_of_nat(X0),at_infinity(X0),at_top(nat)) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f6038])).
% 59.37/10.02  tff(f6038,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => filterlim(nat,X0,semiring_1_of_nat(X0),at_infinity(X0),at_top(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6037_tendsto__of__nat)).
% 59.37/10.02  tff(f73193,plain,(
% 59.37/10.02    spl2737_1739),
% 59.37/10.02    inference(avatar_split_clause,[],[f36827,f73191])).
% 59.37/10.02  tff(f73191,plain,(
% 59.37/10.02    spl2737_1739 <=> ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_afr(X0,X0),X1) = X1 | ~semiring_Gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1739])])).
% 59.37/10.02  tff(f36827,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_afr(X0,X0),X1) = X1 | ~semiring_Gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18719])).
% 59.37/10.02  tff(f18719,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : aa(X0,X0,aTP_Lamp_afr(X0,X0),X1) = X1 | ~semiring_Gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10770])).
% 59.37/10.02  tff(f10770,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X1 : X0] : aa(X0,X0,aTP_Lamp_afr(X0,X0),X1) = X1)),
% 59.37/10.02    inference(rectify,[],[f8958])).
% 59.37/10.02  tff(f8958,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_Gcd(X0) => ! [X94 : X0] : aa(X0,X0,aTP_Lamp_afr(X0,X0),X94) = X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8957_ATP_Olambda__842)).
% 59.37/10.02  tff(f73189,plain,(
% 59.37/10.02    spl2737_1738),
% 59.37/10.02    inference(avatar_split_clause,[],[f36778,f73187])).
% 59.37/10.02  tff(f73187,plain,(
% 59.37/10.02    spl2737_1738 <=> ! [X0 : $tType,X1 : X0] : (unit_f5069060285200089521factor(X0,X1) = unit_f5069060285200089521factor(X0,unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1738])])).
% 59.37/10.02  tff(f36778,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (unit_f5069060285200089521factor(X0,X1) = unit_f5069060285200089521factor(X0,unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18677])).
% 59.37/10.02  tff(f18677,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : unit_f5069060285200089521factor(X0,X1) = unit_f5069060285200089521factor(X0,unit_f5069060285200089521factor(X0,X1)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10736])).
% 59.37/10.02  tff(f10736,plain,(
% 59.37/10.02    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X1 : X0] : unit_f5069060285200089521factor(X0,X1) = unit_f5069060285200089521factor(X0,unit_f5069060285200089521factor(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f7714])).
% 59.37/10.02  tff(f7714,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => ! [X7 : X0] : unit_f5069060285200089521factor(X0,X7) = unit_f5069060285200089521factor(X0,unit_f5069060285200089521factor(X0,X7)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7713_unit__factor__idem)).
% 59.37/10.02  tff(f73185,plain,(
% 59.37/10.02    spl2737_1737),
% 59.37/10.02    inference(avatar_split_clause,[],[f36695,f73183])).
% 59.37/10.02  tff(f73183,plain,(
% 59.37/10.02    spl2737_1737 <=> ! [X0 : $tType,X1 : real] : (real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1737])])).
% 59.37/10.02  tff(f36695,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : real] : (real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18626])).
% 59.37/10.02  tff(f18626,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : real] : real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10693])).
% 59.37/10.02  tff(f10693,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X1 : real] : real_Vector_of_real(X0,X1) = real_V8093663219630862766scaleR(X0,X1,one_one(X0)))),
% 59.37/10.02    inference(rectify,[],[f3957])).
% 59.37/10.02  tff(f3957,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => ! [X116 : real] : real_Vector_of_real(X0,X116) = real_V8093663219630862766scaleR(X0,X116,one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3956_of__real__def)).
% 59.37/10.02  tff(f73181,plain,(
% 59.37/10.02    spl2737_1736),
% 59.37/10.02    inference(avatar_split_clause,[],[f35850,f73179])).
% 59.37/10.02  tff(f73179,plain,(
% 59.37/10.02    spl2737_1736 <=> ! [X0 : real] : sums(real,aTP_Lamp_cd(real,fun(nat,real),X0),sin(real,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1736])])).
% 59.37/10.02  tff(f35850,plain,(
% 59.37/10.02    ( ! [X0 : real] : (sums(real,aTP_Lamp_cd(real,fun(nat,real),X0),sin(real,X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10019])).
% 59.37/10.02  tff(f10019,plain,(
% 59.37/10.02    ! [X0 : real] : sums(real,aTP_Lamp_cd(real,fun(nat,real),X0),sin(real,X0))),
% 59.37/10.02    inference(rectify,[],[f3711])).
% 59.37/10.02  tff(f3711,axiom,(
% 59.37/10.02    ! [X14 : real] : sums(real,aTP_Lamp_cd(real,fun(nat,real),X14),sin(real,X14))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3710_sin__paired)).
% 59.37/10.02  tff(f73177,plain,(
% 59.37/10.02    spl2737_1735),
% 59.37/10.02    inference(avatar_split_clause,[],[f35849,f73175])).
% 59.37/10.02  tff(f73175,plain,(
% 59.37/10.02    spl2737_1735 <=> ! [X0 : int] : aa(nat,int,nat_int_decode,aa(int,nat,nat_int_encode,X0)) = X0),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1735])])).
% 59.37/10.02  tff(f35849,plain,(
% 59.37/10.02    ( ! [X0 : int] : (aa(nat,int,nat_int_decode,aa(int,nat,nat_int_encode,X0)) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10018])).
% 59.37/10.02  tff(f10018,plain,(
% 59.37/10.02    ! [X0 : int] : aa(nat,int,nat_int_decode,aa(int,nat,nat_int_encode,X0)) = X0),
% 59.37/10.02    inference(rectify,[],[f6200])).
% 59.37/10.02  tff(f6200,axiom,(
% 59.37/10.02    ! [X14 : int] : aa(nat,int,nat_int_decode,aa(int,nat,nat_int_encode,X14)) = X14),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6199_int__encode__inverse)).
% 59.37/10.02  tff(f73173,plain,(
% 59.37/10.02    spl2737_1734),
% 59.37/10.02    inference(avatar_split_clause,[],[f35848,f73171])).
% 59.37/10.02  tff(f73171,plain,(
% 59.37/10.02    spl2737_1734 <=> ! [X0 : num] : aa(nat,num,num_of_nat,aa(num,nat,nat_of_num,X0)) = X0),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1734])])).
% 59.37/10.02  tff(f35848,plain,(
% 59.37/10.02    ( ! [X0 : num] : (aa(nat,num,num_of_nat,aa(num,nat,nat_of_num,X0)) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10017])).
% 59.37/10.02  tff(f10017,plain,(
% 59.37/10.02    ! [X0 : num] : aa(nat,num,num_of_nat,aa(num,nat,nat_of_num,X0)) = X0),
% 59.37/10.02    inference(rectify,[],[f7778])).
% 59.37/10.02  tff(f7778,axiom,(
% 59.37/10.02    ! [X14 : num] : aa(nat,num,num_of_nat,aa(num,nat,nat_of_num,X14)) = X14),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7777_nat__of__num__inverse)).
% 59.37/10.02  tff(f73169,plain,(
% 59.37/10.02    spl2737_1733),
% 59.37/10.02    inference(avatar_split_clause,[],[f35847,f73167])).
% 59.37/10.02  tff(f73167,plain,(
% 59.37/10.02    spl2737_1733 <=> ! [X0 : nat] : aa(int,nat,nat_int_encode,aa(nat,int,nat_int_decode,X0)) = X0),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1733])])).
% 59.37/10.02  tff(f35847,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (aa(int,nat,nat_int_encode,aa(nat,int,nat_int_decode,X0)) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10016])).
% 59.37/10.02  tff(f10016,plain,(
% 59.37/10.02    ! [X0 : nat] : aa(int,nat,nat_int_encode,aa(nat,int,nat_int_decode,X0)) = X0),
% 59.37/10.02    inference(rectify,[],[f6199])).
% 59.37/10.02  tff(f6199,axiom,(
% 59.37/10.02    ! [X8 : nat] : aa(int,nat,nat_int_encode,aa(nat,int,nat_int_decode,X8)) = X8),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6198_int__decode__inverse)).
% 59.37/10.02  tff(f73165,plain,(
% 59.37/10.02    spl2737_1732),
% 59.37/10.02    inference(avatar_split_clause,[],[f35842,f73163])).
% 59.37/10.02  tff(f73163,plain,(
% 59.37/10.02    spl2737_1732 <=> ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1732])])).
% 59.37/10.02  tff(f35842,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (bit_se2239418461657761734s_mask(nat,X0) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10011])).
% 59.37/10.02  tff(f10011,plain,(
% 59.37/10.02    ! [X0 : nat] : bit_se2239418461657761734s_mask(nat,X0) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X0))),
% 59.37/10.02    inference(rectify,[],[f3264])).
% 59.37/10.02  tff(f3264,axiom,(
% 59.37/10.02    ! [X8 : nat] : bit_se2239418461657761734s_mask(nat,X8) = aa(int,nat,nat2,bit_se2239418461657761734s_mask(int,X8))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3263_nat__mask__eq)).
% 59.37/10.02  tff(f73161,plain,(
% 59.37/10.02    spl2737_1731 | ~spl2737_180 | ~spl2737_935),
% 59.37/10.02    inference(avatar_split_clause,[],[f69150,f68797,f65119,f73158])).
% 59.37/10.02  tff(f73158,plain,(
% 59.37/10.02    spl2737_1731 <=> sP136(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1731])])).
% 59.37/10.02  tff(f69150,plain,(
% 59.37/10.02    sP136(code_integer) | (~spl2737_180 | ~spl2737_935)),
% 59.37/10.02    inference(resolution,[],[f68798,f65121])).
% 59.37/10.02  tff(f73156,plain,(
% 59.37/10.02    spl2737_1730),
% 59.37/10.02    inference(avatar_split_clause,[],[f35836,f73154])).
% 59.37/10.02  tff(f73154,plain,(
% 59.37/10.02    spl2737_1730 <=> ! [X0 : int] : one_one(int) = aa(int,int,abs_abs(int),euclid7384307370059645450egment(int,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1730])])).
% 59.37/10.02  tff(f35836,plain,(
% 59.37/10.02    ( ! [X0 : int] : (one_one(int) = aa(int,int,abs_abs(int),euclid7384307370059645450egment(int,X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10006])).
% 59.37/10.02  tff(f10006,plain,(
% 59.37/10.02    ! [X0 : int] : one_one(int) = aa(int,int,abs_abs(int),euclid7384307370059645450egment(int,X0))),
% 59.37/10.02    inference(rectify,[],[f7035])).
% 59.37/10.02  tff(f7035,axiom,(
% 59.37/10.02    ! [X18 : int] : one_one(int) = aa(int,int,abs_abs(int),euclid7384307370059645450egment(int,X18))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7034_abs__division__segment)).
% 59.37/10.02  tff(f73152,plain,(
% 59.37/10.02    spl2737_1729),
% 59.37/10.02    inference(avatar_split_clause,[],[f35493,f73149])).
% 59.37/10.02  tff(f73149,plain,(
% 59.37/10.02    spl2737_1729 <=> semilattice_order(nat,gcd_gcd(nat),dvd_dvd(nat),aTP_Lamp_abj(nat,fun(nat,bool)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1729])])).
% 59.37/10.02  tff(f35493,plain,(
% 59.37/10.02    semilattice_order(nat,gcd_gcd(nat),dvd_dvd(nat),aTP_Lamp_abj(nat,fun(nat,bool)))),
% 59.37/10.02    inference(cnf_transformation,[],[f7873])).
% 59.37/10.02  tff(f7873,axiom,(
% 59.37/10.02    semilattice_order(nat,gcd_gcd(nat),dvd_dvd(nat),aTP_Lamp_abj(nat,fun(nat,bool)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7872_gcd__nat_Osemilattice__order__axioms)).
% 59.37/10.02  tff(f73139,plain,(
% 59.37/10.02    spl2737_1728 | ~spl2737_183 | ~spl2737_934),
% 59.37/10.02    inference(avatar_split_clause,[],[f69149,f68793,f65134,f73136])).
% 59.37/10.02  tff(f73136,plain,(
% 59.37/10.02    spl2737_1728 <=> sP134(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1728])])).
% 59.37/10.02  tff(f68793,plain,(
% 59.37/10.02    spl2737_934 <=> ! [X0 : $tType] : (sP134(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_934])])).
% 59.37/10.02  tff(f69149,plain,(
% 59.37/10.02    sP134(int) | (~spl2737_183 | ~spl2737_934)),
% 59.37/10.02    inference(resolution,[],[f68794,f65136])).
% 59.37/10.02  tff(f68794,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP134(X0)) ) | ~spl2737_934),
% 59.37/10.02    inference(avatar_component_clause,[],[f68793])).
% 59.37/10.02  tff(f73103,plain,(
% 59.37/10.02    spl2737_1727 | ~spl2737_181 | ~spl2737_934),
% 59.37/10.02    inference(avatar_split_clause,[],[f69148,f68793,f65124,f73100])).
% 59.37/10.02  tff(f73100,plain,(
% 59.37/10.02    spl2737_1727 <=> sP134(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1727])])).
% 59.37/10.02  tff(f69148,plain,(
% 59.37/10.02    sP134(rat) | (~spl2737_181 | ~spl2737_934)),
% 59.37/10.02    inference(resolution,[],[f68794,f65126])).
% 59.37/10.02  tff(f73092,plain,(
% 59.37/10.02    spl2737_1726 | ~spl2737_182 | ~spl2737_934),
% 59.37/10.02    inference(avatar_split_clause,[],[f69147,f68793,f65129,f73089])).
% 59.37/10.02  tff(f73089,plain,(
% 59.37/10.02    spl2737_1726 <=> sP134(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1726])])).
% 59.37/10.02  tff(f69147,plain,(
% 59.37/10.02    sP134(real) | (~spl2737_182 | ~spl2737_934)),
% 59.37/10.02    inference(resolution,[],[f68794,f65131])).
% 59.37/10.02  tff(f73054,plain,(
% 59.37/10.02    spl2737_1725 | ~spl2737_180 | ~spl2737_934),
% 59.37/10.02    inference(avatar_split_clause,[],[f69146,f68793,f65119,f73051])).
% 59.37/10.02  tff(f73051,plain,(
% 59.37/10.02    spl2737_1725 <=> sP134(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1725])])).
% 59.37/10.02  tff(f69146,plain,(
% 59.37/10.02    sP134(code_integer) | (~spl2737_180 | ~spl2737_934)),
% 59.37/10.02    inference(resolution,[],[f68794,f65121])).
% 59.37/10.02  tff(f73043,plain,(
% 59.37/10.02    spl2737_1724 | ~spl2737_183 | ~spl2737_933),
% 59.37/10.02    inference(avatar_split_clause,[],[f69145,f68789,f65134,f73040])).
% 59.37/10.02  tff(f73040,plain,(
% 59.37/10.02    spl2737_1724 <=> sP132(int)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1724])])).
% 59.37/10.02  tff(f68789,plain,(
% 59.37/10.02    spl2737_933 <=> ! [X0 : $tType] : (sP132(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_933])])).
% 59.37/10.02  tff(f69145,plain,(
% 59.37/10.02    sP132(int) | (~spl2737_183 | ~spl2737_933)),
% 59.37/10.02    inference(resolution,[],[f68790,f65136])).
% 59.37/10.02  tff(f68790,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~linord4710134922213307826strict(X0) | sP132(X0)) ) | ~spl2737_933),
% 59.37/10.02    inference(avatar_component_clause,[],[f68789])).
% 59.37/10.02  tff(f73038,plain,(
% 59.37/10.02    spl2737_1723 | ~spl2737_181 | ~spl2737_933),
% 59.37/10.02    inference(avatar_split_clause,[],[f69144,f68789,f65124,f73035])).
% 59.37/10.02  tff(f73035,plain,(
% 59.37/10.02    spl2737_1723 <=> sP132(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1723])])).
% 59.37/10.02  tff(f69144,plain,(
% 59.37/10.02    sP132(rat) | (~spl2737_181 | ~spl2737_933)),
% 59.37/10.02    inference(resolution,[],[f68790,f65126])).
% 59.37/10.02  tff(f73009,plain,(
% 59.37/10.02    spl2737_1722 | ~spl2737_182 | ~spl2737_933),
% 59.37/10.02    inference(avatar_split_clause,[],[f69143,f68789,f65129,f73006])).
% 59.37/10.02  tff(f73006,plain,(
% 59.37/10.02    spl2737_1722 <=> sP132(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1722])])).
% 59.37/10.02  tff(f69143,plain,(
% 59.37/10.02    sP132(real) | (~spl2737_182 | ~spl2737_933)),
% 59.37/10.02    inference(resolution,[],[f68790,f65131])).
% 59.37/10.02  tff(f72998,plain,(
% 59.37/10.02    spl2737_1721 | ~spl2737_180 | ~spl2737_933),
% 59.37/10.02    inference(avatar_split_clause,[],[f69142,f68789,f65119,f72995])).
% 59.37/10.02  tff(f72995,plain,(
% 59.37/10.02    spl2737_1721 <=> sP132(code_integer)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1721])])).
% 59.37/10.02  tff(f69142,plain,(
% 59.37/10.02    sP132(code_integer) | (~spl2737_180 | ~spl2737_933)),
% 59.37/10.02    inference(resolution,[],[f68790,f65121])).
% 59.37/10.02  tff(f72983,plain,(
% 59.37/10.02    spl2737_1720 | ~spl2737_113 | ~spl2737_932),
% 59.37/10.02    inference(avatar_split_clause,[],[f69141,f68785,f64784,f72980])).
% 59.37/10.02  tff(f72980,plain,(
% 59.37/10.02    spl2737_1720 <=> sP128(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1720])])).
% 59.37/10.02  tff(f68785,plain,(
% 59.37/10.02    spl2737_932 <=> ! [X0 : $tType] : (sP128(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_932])])).
% 59.37/10.02  tff(f69141,plain,(
% 59.37/10.02    sP128(real) | (~spl2737_113 | ~spl2737_932)),
% 59.37/10.02    inference(resolution,[],[f68786,f64786])).
% 59.37/10.02  tff(f68786,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP128(X0)) ) | ~spl2737_932),
% 59.37/10.02    inference(avatar_component_clause,[],[f68785])).
% 59.37/10.02  tff(f72939,plain,(
% 59.37/10.02    spl2737_1719 | ~spl2737_112 | ~spl2737_932),
% 59.37/10.02    inference(avatar_split_clause,[],[f69140,f68785,f64779,f72936])).
% 59.37/10.02  tff(f72936,plain,(
% 59.37/10.02    spl2737_1719 <=> sP128(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1719])])).
% 59.37/10.02  tff(f64779,plain,(
% 59.37/10.02    spl2737_112 <=> division_ring(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_112])])).
% 59.37/10.02  tff(f69140,plain,(
% 59.37/10.02    sP128(rat) | (~spl2737_112 | ~spl2737_932)),
% 59.37/10.02    inference(resolution,[],[f68786,f64781])).
% 59.37/10.02  tff(f64781,plain,(
% 59.37/10.02    division_ring(rat) | ~spl2737_112),
% 59.37/10.02    inference(avatar_component_clause,[],[f64779])).
% 59.37/10.02  tff(f72881,plain,(
% 59.37/10.02    spl2737_1718 | ~spl2737_111 | ~spl2737_932),
% 59.37/10.02    inference(avatar_split_clause,[],[f69139,f68785,f64774,f72878])).
% 59.37/10.02  tff(f72878,plain,(
% 59.37/10.02    spl2737_1718 <=> sP128(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1718])])).
% 59.37/10.02  tff(f69139,plain,(
% 59.37/10.02    sP128(complex) | (~spl2737_111 | ~spl2737_932)),
% 59.37/10.02    inference(resolution,[],[f68786,f64776])).
% 59.37/10.02  tff(f72854,plain,(
% 59.37/10.02    spl2737_1717 | ~spl2737_113 | ~spl2737_931),
% 59.37/10.02    inference(avatar_split_clause,[],[f69138,f68781,f64784,f72851])).
% 59.37/10.02  tff(f72851,plain,(
% 59.37/10.02    spl2737_1717 <=> sP126(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1717])])).
% 59.37/10.02  tff(f68781,plain,(
% 59.37/10.02    spl2737_931 <=> ! [X0 : $tType] : (sP126(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_931])])).
% 59.37/10.02  tff(f69138,plain,(
% 59.37/10.02    sP126(real) | (~spl2737_113 | ~spl2737_931)),
% 59.37/10.02    inference(resolution,[],[f68782,f64786])).
% 59.37/10.02  tff(f68782,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP126(X0)) ) | ~spl2737_931),
% 59.37/10.02    inference(avatar_component_clause,[],[f68781])).
% 59.37/10.02  tff(f72846,plain,(
% 59.37/10.02    spl2737_1716 | ~spl2737_112 | ~spl2737_931),
% 59.37/10.02    inference(avatar_split_clause,[],[f69137,f68781,f64779,f72843])).
% 59.37/10.02  tff(f72843,plain,(
% 59.37/10.02    spl2737_1716 <=> sP126(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1716])])).
% 59.37/10.02  tff(f69137,plain,(
% 59.37/10.02    sP126(rat) | (~spl2737_112 | ~spl2737_931)),
% 59.37/10.02    inference(resolution,[],[f68782,f64781])).
% 59.37/10.02  tff(f72841,plain,(
% 59.37/10.02    spl2737_1715),
% 59.37/10.02    inference(avatar_split_clause,[],[f62044,f72839])).
% 59.37/10.02  tff(f72839,plain,(
% 59.37/10.02    spl2737_1715 <=> ! [X2 : bool,X0 : bool,X3 : bool] : (~sP452(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1715])])).
% 59.37/10.02  tff(f62044,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (~sP452(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53584,f35397])).
% 59.37/10.02  tff(f53584,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (pp(X2) | ~pp(X3) | ~sP452(X0,zero_zero(nat),X2,X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48256])).
% 59.37/10.02  tff(f48256,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (pp(X2) | zero_zero(nat) != X1 | ~pp(X3) | ~sP452(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33074])).
% 59.37/10.02  tff(f72837,plain,(
% 59.37/10.02    spl2737_1714),
% 59.37/10.02    inference(avatar_split_clause,[],[f62014,f72835])).
% 59.37/10.02  tff(f72835,plain,(
% 59.37/10.02    spl2737_1714 <=> ! [X2 : bool,X0 : bool,X3 : bool] : (~sP443(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1714])])).
% 59.37/10.02  tff(f62014,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (~sP443(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53577,f35397])).
% 59.37/10.02  tff(f53577,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (pp(X2) | ~pp(X3) | ~sP443(X0,zero_zero(nat),X2,X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48223])).
% 59.37/10.02  tff(f48223,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (pp(X2) | zero_zero(nat) != X1 | ~pp(X3) | ~sP443(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33047])).
% 59.37/10.02  tff(f72833,plain,(
% 59.37/10.02    spl2737_1713),
% 59.37/10.02    inference(avatar_split_clause,[],[f61823,f72831])).
% 59.37/10.02  tff(f72831,plain,(
% 59.37/10.02    spl2737_1713 <=> ! [X2 : bool,X0 : bool,X3 : bool] : (~sP415(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1713])])).
% 59.37/10.02  tff(f61823,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (~sP415(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53558,f35397])).
% 59.37/10.02  tff(f53558,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (pp(X2) | ~pp(X3) | ~sP415(X0,zero_zero(nat),X2,X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48093])).
% 59.37/10.02  tff(f48093,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (pp(X2) | zero_zero(nat) != X1 | ~pp(X3) | ~sP415(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32915])).
% 59.37/10.02  tff(f72829,plain,(
% 59.37/10.02    spl2737_1712),
% 59.37/10.02    inference(avatar_split_clause,[],[f61799,f72827])).
% 59.37/10.02  tff(f72827,plain,(
% 59.37/10.02    spl2737_1712 <=> ! [X2 : bool,X0 : bool,X3 : bool] : (~sP409(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1712])])).
% 59.37/10.02  tff(f61799,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (~sP409(X0,size_num(one2),X2,X3) | pp(X2) | ~pp(X3)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53553,f35397])).
% 59.37/10.02  tff(f53553,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool] : (pp(X2) | ~pp(X3) | ~sP409(X0,zero_zero(nat),X2,X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f48072])).
% 59.37/10.02  tff(f48072,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (pp(X2) | zero_zero(nat) != X1 | ~pp(X3) | ~sP409(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32899])).
% 59.37/10.02  tff(f72825,plain,(
% 59.37/10.02    spl2737_1711),
% 59.37/10.02    inference(avatar_split_clause,[],[f60757,f72823])).
% 59.37/10.02  tff(f72823,plain,(
% 59.37/10.02    spl2737_1711 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (~pp(aa(nat,bool,X1,size_num(one2))) | sP366(X1,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1711])])).
% 59.37/10.02  tff(f60757,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : fun(nat,bool)] : (~pp(aa(nat,bool,X1,size_num(one2))) | sP366(X1,X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f47054,f35397])).
% 59.37/10.02  tff(f47054,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : fun(nat,bool)] : (sP366(X1,X0) | ~pp(aa(nat,bool,X1,zero_zero(nat)))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32476])).
% 59.37/10.02  tff(f32476,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP366(X1,X0) | (! [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) & ~pp(aa(nat,bool,X1,zero_zero(nat))))) & ((pp(aa(nat,bool,X1,aa(nat,nat,suc,sK1982(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1982(X0,X1)),X0))) | pp(aa(nat,bool,X1,zero_zero(nat))) | ~sP366(X1,X0)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1982])],[f32474,f32475])).
% 59.37/10.02  tff(f32475,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : (? [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) => (pp(aa(nat,bool,X1,aa(nat,nat,suc,sK1982(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1982(X0,X1)),X0))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32474,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP366(X1,X0) | (! [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) & ~pp(aa(nat,bool,X1,zero_zero(nat))))) & (? [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,zero_zero(nat))) | ~sP366(X1,X0)))),
% 59.37/10.02    inference(rectify,[],[f32473])).
% 59.37/10.02  tff(f32473,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP366(X1,X0) | (! [X3 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & ~pp(aa(nat,bool,X1,zero_zero(nat))))) & (? [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,zero_zero(nat))) | ~sP366(X1,X0)))),
% 59.37/10.02    inference(flattening,[],[f32472])).
% 59.37/10.02  tff(f32472,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP366(X1,X0) | (! [X3 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & ~pp(aa(nat,bool,X1,zero_zero(nat))))) & ((? [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,zero_zero(nat)))) | ~sP366(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27645])).
% 59.37/10.02  tff(f27645,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : (sP366(X1,X0) <=> (? [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,zero_zero(nat)))))),
% 59.37/10.02    inference(definition_folding,[],[f16721,f27644])).
% 59.37/10.02  tff(f16721,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : (? [X2 : nat] : (pp(aa(nat,bool,X1,X2)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (? [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | pp(aa(nat,bool,X1,zero_zero(nat)))))),
% 59.37/10.02    inference(rectify,[],[f60])).
% 59.37/10.02  tff(f60,axiom,(
% 59.37/10.02    ! [X8 : nat,X17 : fun(nat,bool)] : (? [X29 : nat] : (pp(aa(nat,bool,X17,X29)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,suc,X8)))) <=> (? [X29 : nat] : (pp(aa(nat,bool,X17,aa(nat,nat,suc,X29))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),X8))) | pp(aa(nat,bool,X17,zero_zero(nat)))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_Ex__less__Suc2)).
% 59.37/10.02  tff(f72821,plain,(
% 59.37/10.02    spl2737_1710),
% 59.37/10.02    inference(avatar_split_clause,[],[f60744,f72819])).
% 59.37/10.02  tff(f72819,plain,(
% 59.37/10.02    spl2737_1710 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,size_num(one2))) | ~sP364(X1,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1710])])).
% 59.37/10.02  tff(f60744,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,size_num(one2))) | ~sP364(X1,X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f47030,f35397])).
% 59.37/10.02  tff(f47030,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,zero_zero(nat))) | ~sP364(X1,X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32448])).
% 59.37/10.02  tff(f32448,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP364(X1,X0) | (~pp(aa(nat,bool,X1,aa(nat,nat,suc,sK1974(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1974(X0,X1)),X0))) | ~pp(aa(nat,bool,X1,zero_zero(nat)))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,zero_zero(nat)))) | ~sP364(X1,X0)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1974])],[f32446,f32447])).
% 59.37/10.02  tff(f32447,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : (? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) => (~pp(aa(nat,bool,X1,aa(nat,nat,suc,sK1974(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1974(X0,X1)),X0))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32446,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP364(X1,X0) | ? [X2 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X2))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X0))) | ~pp(aa(nat,bool,X1,zero_zero(nat)))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,zero_zero(nat)))) | ~sP364(X1,X0)))),
% 59.37/10.02    inference(rectify,[],[f32445])).
% 59.37/10.02  tff(f32445,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP364(X1,X0) | ? [X3 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | ~pp(aa(nat,bool,X1,zero_zero(nat)))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,zero_zero(nat)))) | ~sP364(X1,X0)))),
% 59.37/10.02    inference(flattening,[],[f32444])).
% 59.37/10.02  tff(f32444,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : ((sP364(X1,X0) | (? [X3 : nat] : (~pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) | ~pp(aa(nat,bool,X1,zero_zero(nat))))) & ((! [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,zero_zero(nat)))) | ~sP364(X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27641])).
% 59.37/10.02  tff(f27641,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : (sP364(X1,X0) <=> (! [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,zero_zero(nat)))))),
% 59.37/10.02    inference(definition_folding,[],[f25534,f27640])).
% 59.37/10.02  tff(f25534,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : (! [X2 : nat] : (pp(aa(nat,bool,X1,X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0)))) <=> (! [X3 : nat] : (pp(aa(nat,bool,X1,aa(nat,nat,suc,X3))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0))) & pp(aa(nat,bool,X1,zero_zero(nat)))))),
% 59.37/10.02    inference(ennf_transformation,[],[f16717])).
% 59.37/10.02  tff(f16717,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : fun(nat,bool)] : (! [X2 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(nat,nat,suc,X0))) => pp(aa(nat,bool,X1,X2))) <=> (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X0)) => pp(aa(nat,bool,X1,aa(nat,nat,suc,X3)))) & pp(aa(nat,bool,X1,zero_zero(nat)))))),
% 59.37/10.02    inference(rectify,[],[f58])).
% 59.37/10.02  tff(f58,axiom,(
% 59.37/10.02    ! [X8 : nat,X17 : fun(nat,bool)] : (! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,suc,X8))) => pp(aa(nat,bool,X17,X29))) <=> (! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),X8)) => pp(aa(nat,bool,X17,aa(nat,nat,suc,X29)))) & pp(aa(nat,bool,X17,zero_zero(nat)))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_All__less__Suc2)).
% 59.37/10.02  tff(f72817,plain,(
% 59.37/10.02    spl2737_1709),
% 59.37/10.02    inference(avatar_split_clause,[],[f60132,f72815])).
% 59.37/10.02  tff(f72815,plain,(
% 59.37/10.02    spl2737_1709 <=> ! [X0 : real,X1 : real] : (im(imaginary_unit) = X0 | one_one(complex) != complex2(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1709])])).
% 59.37/10.02  tff(f60132,plain,(
% 59.37/10.02    ( ! [X0 : real,X1 : real] : (im(imaginary_unit) = X0 | one_one(complex) != complex2(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46338,f35393])).
% 59.37/10.02  tff(f46338,plain,(
% 59.37/10.02    ( ! [X0 : real,X1 : real] : (one_one(real) = X0 | one_one(complex) != complex2(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32015])).
% 59.37/10.02  tff(f32015,plain,(
% 59.37/10.02    ! [X0 : real,X1 : real] : ((one_one(complex) = complex2(X0,X1) | zero_zero(real) != X1 | one_one(real) != X0) & ((zero_zero(real) = X1 & one_one(real) = X0) | one_one(complex) != complex2(X0,X1)))),
% 59.37/10.02    inference(flattening,[],[f32014])).
% 59.37/10.02  tff(f32014,plain,(
% 59.37/10.02    ! [X0 : real,X1 : real] : ((one_one(complex) = complex2(X0,X1) | (zero_zero(real) != X1 | one_one(real) != X0)) & ((zero_zero(real) = X1 & one_one(real) = X0) | one_one(complex) != complex2(X0,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f16459])).
% 59.37/10.02  tff(f16459,plain,(
% 59.37/10.02    ! [X0 : real,X1 : real] : (one_one(complex) = complex2(X0,X1) <=> (zero_zero(real) = X1 & one_one(real) = X0))),
% 59.37/10.02    inference(rectify,[],[f3102])).
% 59.37/10.02  tff(f3102,axiom,(
% 59.37/10.02    ! [X7 : real,X49 : real] : (complex2(X7,X49) = one_one(complex) <=> (zero_zero(real) = X49 & one_one(real) = X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3101_Complex__eq__1)).
% 59.37/10.02  tff(f72813,plain,(
% 59.37/10.02    spl2737_1708),
% 59.37/10.02    inference(avatar_split_clause,[],[f58782,f72811])).
% 59.37/10.02  tff(f72811,plain,(
% 59.37/10.02    spl2737_1708 <=> ! [X0 : nat] : (vEBT_vebt_buildup(X0) = vEBT_vebt_buildup(size_num(one2)) | sP292(vEBT_vebt_buildup(X0),X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1708])])).
% 59.37/10.02  tff(f58782,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (vEBT_vebt_buildup(X0) = vEBT_vebt_buildup(size_num(one2)) | sP292(vEBT_vebt_buildup(X0),X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f53995,f54029])).
% 59.37/10.02  tff(f54029,plain,(
% 59.37/10.02    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(size_num(one2))),
% 59.37/10.02    inference(forward_demodulation,[],[f35432,f35397])).
% 59.37/10.02  tff(f35432,plain,(
% 59.37/10.02    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero(nat))),
% 59.37/10.02    inference(cnf_transformation,[],[f404])).
% 59.37/10.02  tff(f404,axiom,(
% 59.37/10.02    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_403_vebt__buildup_Osimps_I1_J)).
% 59.37/10.02  tff(f53995,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (sP292(vEBT_vebt_buildup(X0),X0) | vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(X0)) )),
% 59.37/10.02    inference(duplicate_literal_removal,[],[f53196])).
% 59.37/10.02  tff(f53196,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (sP292(vEBT_vebt_buildup(X0),X0) | vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(X0) | vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f45067])).
% 59.37/10.02  tff(f45067,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP292(X1,X0) | vEBT_Leaf(fFalse,fFalse) = X1 | vEBT_Leaf(fFalse,fFalse) = X1 | vEBT_vebt_buildup(X0) != X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f27531])).
% 59.37/10.02  tff(f72809,plain,(
% 59.37/10.02    spl2737_1707),
% 59.37/10.02    inference(avatar_split_clause,[],[f57491,f72807])).
% 59.37/10.02  tff(f72807,plain,(
% 59.37/10.02    spl2737_1707 <=> ! [X0 : bool,X1 : bool] : size_num(one2) = aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1707])])).
% 59.37/10.02  tff(f57491,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : bool] : (size_num(one2) = aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(X0,X1))) )),
% 59.37/10.02    inference(forward_demodulation,[],[f43537,f35397])).
% 59.37/10.02  tff(f43537,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : bool] : (zero_zero(nat) = aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(X0,X1))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14720])).
% 59.37/10.02  tff(f14720,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : bool] : zero_zero(nat) = aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f927])).
% 59.37/10.02  tff(f927,axiom,(
% 59.37/10.02    ! [X84 : bool,X85 : bool] : zero_zero(nat) = aa(vEBT_VEBT,nat,vEBT_size_VEBT,vEBT_Leaf(X84,X85))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_926_VEBT_Osize__gen_I2_J)).
% 59.37/10.02  tff(f72805,plain,(
% 59.37/10.02    spl2737_1706),
% 59.37/10.02    inference(avatar_split_clause,[],[f57490,f72803])).
% 59.37/10.02  tff(f72803,plain,(
% 59.37/10.02    spl2737_1706 <=> ! [X0 : $tType,X1 : X0] : im(imaginary_unit) = aa(X0,real,aTP_Lamp_do(X0,real),X1)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1706])])).
% 59.37/10.02  tff(f57490,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (im(imaginary_unit) = aa(X0,real,aTP_Lamp_do(X0,real),X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f43535,f35393])).
% 59.37/10.02  tff(f43535,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(real) = aa(X0,real,aTP_Lamp_do(X0,real),X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14718])).
% 59.37/10.02  tff(f14718,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : X0] : one_one(real) = aa(X0,real,aTP_Lamp_do(X0,real),X1)),
% 59.37/10.02    inference(rectify,[],[f8973])).
% 59.37/10.02  tff(f8973,axiom,(
% 59.37/10.02    ! [X0 : $tType,X94 : X0] : one_one(real) = aa(X0,real,aTP_Lamp_do(X0,real),X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8972_ATP_Olambda__857)).
% 59.37/10.02  tff(f72801,plain,(
% 59.37/10.02    spl2737_1705 | ~spl2737_111 | ~spl2737_931),
% 59.37/10.02    inference(avatar_split_clause,[],[f69136,f68781,f64774,f72798])).
% 59.37/10.02  tff(f72798,plain,(
% 59.37/10.02    spl2737_1705 <=> sP126(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1705])])).
% 59.37/10.02  tff(f69136,plain,(
% 59.37/10.02    sP126(complex) | (~spl2737_111 | ~spl2737_931)),
% 59.37/10.02    inference(resolution,[],[f68782,f64776])).
% 59.37/10.02  tff(f72796,plain,(
% 59.37/10.02    spl2737_1704),
% 59.37/10.02    inference(avatar_split_clause,[],[f57304,f72793])).
% 59.37/10.02  tff(f57304,plain,(
% 59.37/10.02    pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,one_one(nat)),size_num(one2)))),
% 59.37/10.02    inference(forward_demodulation,[],[f57303,f54053])).
% 59.37/10.02  tff(f57303,plain,(
% 59.37/10.02    pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,size_num(one2))),size_num(one2)))),
% 59.37/10.02    inference(forward_demodulation,[],[f53110,f35397])).
% 59.37/10.02  tff(f53110,plain,(
% 59.37/10.02    pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),zero_zero(nat)))),
% 59.37/10.02    inference(equality_resolution,[],[f43398])).
% 59.37/10.02  tff(f43398,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(nat,aa(nat,nat,suc,zero_zero(nat))),X0)) | zero_zero(nat) != X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30665])).
% 59.37/10.02  tff(f72791,plain,(
% 59.37/10.02    spl2737_1703),
% 59.37/10.02    inference(avatar_split_clause,[],[f57200,f72789])).
% 59.37/10.02  tff(f72789,plain,(
% 59.37/10.02    spl2737_1703 <=> ! [X0 : real] : (im(imaginary_unit) != exp(real,X0) | zero_zero(real) = X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1703])])).
% 59.37/10.02  tff(f57200,plain,(
% 59.37/10.02    ( ! [X0 : real] : (im(imaginary_unit) != exp(real,X0) | zero_zero(real) = X0) )),
% 59.37/10.02    inference(forward_demodulation,[],[f43317,f35393])).
% 59.37/10.02  tff(f43317,plain,(
% 59.37/10.02    ( ! [X0 : real] : (zero_zero(real) = X0 | one_one(real) != exp(real,X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30581])).
% 59.37/10.02  tff(f30581,plain,(
% 59.37/10.02    ! [X0 : real] : ((one_one(real) = exp(real,X0) | zero_zero(real) != X0) & (zero_zero(real) = X0 | one_one(real) != exp(real,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f14613])).
% 59.37/10.02  tff(f14613,plain,(
% 59.37/10.02    ! [X0 : real] : (one_one(real) = exp(real,X0) <=> zero_zero(real) = X0)),
% 59.37/10.02    inference(rectify,[],[f1649])).
% 59.37/10.02  tff(f1649,axiom,(
% 59.37/10.02    ! [X14 : real] : (one_one(real) = exp(real,X14) <=> zero_zero(real) = X14)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1648_exp__eq__one__iff)).
% 59.37/10.02  tff(f72787,plain,(
% 59.37/10.02    spl2737_1702),
% 59.37/10.02    inference(avatar_split_clause,[],[f56244,f72785])).
% 59.37/10.02  tff(f72785,plain,(
% 59.37/10.02    spl2737_1702 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,size_num(one2),X2) = X2 | ~semiring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1702])])).
% 59.37/10.02  tff(f56244,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,size_num(one2),X2) = X2 | ~semiring_1(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f41533,f35397])).
% 59.37/10.02  tff(f41533,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (semiri8178284476397505188at_aux(X0,X1,zero_zero(nat),X2) = X2 | ~semiring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21975])).
% 59.37/10.02  tff(f21975,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : fun(X0,X0),X2 : X0] : semiri8178284476397505188at_aux(X0,X1,zero_zero(nat),X2) = X2 | ~semiring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13433])).
% 59.37/10.02  tff(f13433,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_1(X0) => ! [X1 : fun(X0,X0),X2 : X0] : semiri8178284476397505188at_aux(X0,X1,zero_zero(nat),X2) = X2)),
% 59.37/10.02    inference(rectify,[],[f4018])).
% 59.37/10.02  tff(f4018,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_1(X0) => ! [X220 : fun(X0,X0),X23 : X0] : semiri8178284476397505188at_aux(X0,X220,zero_zero(nat),X23) = X23)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4017_of__nat__aux_Osimps_I1_J)).
% 59.37/10.02  tff(f72783,plain,(
% 59.37/10.02    spl2737_1701),
% 59.37/10.02    inference(avatar_split_clause,[],[f56156,f72781])).
% 59.37/10.02  tff(f72781,plain,(
% 59.37/10.02    spl2737_1701 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,size_num(one2)) | ~comm_semiring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1701])])).
% 59.37/10.02  tff(f56156,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,size_num(one2)) | ~comm_semiring_1(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f41413,f35397])).
% 59.37/10.02  tff(f41413,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = comm_s3205402744901411588hammer(X0,X1,zero_zero(nat)) | ~comm_semiring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21882])).
% 59.37/10.02  tff(f21882,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = comm_s3205402744901411588hammer(X0,X1,zero_zero(nat)) | ~comm_semiring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13356])).
% 59.37/10.02  tff(f13356,plain,(
% 59.37/10.02    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0] : one_one(X0) = comm_s3205402744901411588hammer(X0,X1,zero_zero(nat)))),
% 59.37/10.02    inference(rectify,[],[f1558])).
% 59.37/10.02  tff(f1558,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X7 : X0] : one_one(X0) = comm_s3205402744901411588hammer(X0,X7,zero_zero(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1557_pochhammer__0)).
% 59.37/10.02  tff(f72779,plain,(
% 59.37/10.02    spl2737_1700),
% 59.37/10.02    inference(avatar_split_clause,[],[f55603,f72777])).
% 59.37/10.02  tff(f72777,plain,(
% 59.37/10.02    spl2737_1700 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,size_num(one2),X1) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1700])])).
% 59.37/10.02  tff(f55603,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,size_num(one2),X1) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f39852,f35397])).
% 59.37/10.02  tff(f39852,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,zero_zero(nat),X1) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20686])).
% 59.37/10.02  tff(f20686,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,zero_zero(nat),X1) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12398])).
% 59.37/10.02  tff(f12398,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : X0] : zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,zero_zero(nat),X1))),
% 59.37/10.02    inference(rectify,[],[f2720])).
% 59.37/10.02  tff(f2720,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X7 : X0] : zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,zero_zero(nat),X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2719_take__bit__0)).
% 59.37/10.02  tff(f72775,plain,(
% 59.37/10.02    spl2737_1699),
% 59.37/10.02    inference(avatar_split_clause,[],[f54857,f72773])).
% 59.37/10.02  tff(f72773,plain,(
% 59.37/10.02    spl2737_1699 <=> ! [X0 : nat] : (size_num(one2) = X0 | one_one(nat) = unit_f5069060285200089521factor(nat,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1699])])).
% 59.37/10.02  tff(f54857,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (size_num(one2) = X0 | one_one(nat) = unit_f5069060285200089521factor(nat,X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f36348,f35397])).
% 59.37/10.02  tff(f36348,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (one_one(nat) = unit_f5069060285200089521factor(nat,X0) | zero_zero(nat) = X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18400])).
% 59.37/10.02  tff(f18400,plain,(
% 59.37/10.02    ! [X0 : nat] : ((one_one(nat) = unit_f5069060285200089521factor(nat,X0) | zero_zero(nat) = X0) & (zero_zero(nat) = unit_f5069060285200089521factor(nat,X0) | zero_zero(nat) != X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10494])).
% 59.37/10.02  tff(f10494,plain,(
% 59.37/10.02    ! [X0 : nat] : ((zero_zero(nat) != X0 => one_one(nat) = unit_f5069060285200089521factor(nat,X0)) & (zero_zero(nat) = X0 => zero_zero(nat) = unit_f5069060285200089521factor(nat,X0)))),
% 59.37/10.02    inference(rectify,[],[f7735])).
% 59.37/10.02  tff(f7735,axiom,(
% 59.37/10.02    ! [X8 : nat] : ((zero_zero(nat) != X8 => one_one(nat) = unit_f5069060285200089521factor(nat,X8)) & (zero_zero(nat) = X8 => zero_zero(nat) = unit_f5069060285200089521factor(nat,X8)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7734_unit__factor__nat__def)).
% 59.37/10.02  tff(f72771,plain,(
% 59.37/10.02    spl2737_1698),
% 59.37/10.02    inference(avatar_split_clause,[],[f54245,f72769])).
% 59.37/10.02  tff(f72769,plain,(
% 59.37/10.02    spl2737_1698 <=> ! [X0 : nat] : set_ord_atMost(nat,X0) = set_or1337092689740270186AtMost(nat,size_num(one2),X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1698])])).
% 59.37/10.02  tff(f54245,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (set_ord_atMost(nat,X0) = set_or1337092689740270186AtMost(nat,size_num(one2),X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35833,f35397])).
% 59.37/10.02  tff(f35833,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (set_or1337092689740270186AtMost(nat,zero_zero(nat),X0) = set_ord_atMost(nat,X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10003])).
% 59.37/10.02  tff(f10003,plain,(
% 59.37/10.02    ! [X0 : nat] : set_or1337092689740270186AtMost(nat,zero_zero(nat),X0) = set_ord_atMost(nat,X0)),
% 59.37/10.02    inference(rectify,[],[f3875])).
% 59.37/10.02  tff(f3875,axiom,(
% 59.37/10.02    ! [X8 : nat] : set_or1337092689740270186AtMost(nat,zero_zero(nat),X8) = set_ord_atMost(nat,X8)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3874_atMost__atLeast0)).
% 59.37/10.02  tff(f72767,plain,(
% 59.37/10.02    spl2737_1697),
% 59.37/10.02    inference(avatar_split_clause,[],[f54244,f72765])).
% 59.37/10.02  tff(f72765,plain,(
% 59.37/10.02    spl2737_1697 <=> ! [X0 : nat] : set_ord_lessThan(nat,X0) = set_or7035219750837199246ssThan(nat,size_num(one2),X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1697])])).
% 59.37/10.02  tff(f72763,plain,(
% 59.37/10.02    spl2737_1696),
% 59.37/10.02    inference(avatar_split_clause,[],[f54243,f72761])).
% 59.37/10.02  tff(f72761,plain,(
% 59.37/10.02    spl2737_1696 <=> ! [X0 : nat] : bot_bot(set(nat)) = set_or7035219750837199246ssThan(nat,X0,size_num(one2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1696])])).
% 59.37/10.02  tff(f54243,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (bot_bot(set(nat)) = set_or7035219750837199246ssThan(nat,X0,size_num(one2))) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35830,f35397])).
% 59.37/10.02  tff(f35830,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (bot_bot(set(nat)) = set_or7035219750837199246ssThan(nat,X0,zero_zero(nat))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f10000])).
% 59.37/10.02  tff(f10000,plain,(
% 59.37/10.02    ! [X0 : nat] : bot_bot(set(nat)) = set_or7035219750837199246ssThan(nat,X0,zero_zero(nat))),
% 59.37/10.02    inference(rectify,[],[f4234])).
% 59.37/10.02  tff(f4234,axiom,(
% 59.37/10.02    ! [X9 : nat] : bot_bot(set(nat)) = set_or7035219750837199246ssThan(nat,X9,zero_zero(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4233_atLeastLessThan0)).
% 59.37/10.02  tff(f72759,plain,(
% 59.37/10.02    spl2737_1695),
% 59.37/10.02    inference(avatar_split_clause,[],[f54242,f72757])).
% 59.37/10.02  tff(f72757,plain,(
% 59.37/10.02    spl2737_1695 <=> ! [X0 : real] : zero_zero(real) = aa(real,real,root(size_num(one2)),X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1695])])).
% 59.37/10.02  tff(f54242,plain,(
% 59.37/10.02    ( ! [X0 : real] : (zero_zero(real) = aa(real,real,root(size_num(one2)),X0)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35829,f35397])).
% 59.37/10.02  tff(f35829,plain,(
% 59.37/10.02    ( ! [X0 : real] : (zero_zero(real) = aa(real,real,root(zero_zero(nat)),X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9999])).
% 59.37/10.02  tff(f9999,plain,(
% 59.37/10.02    ! [X0 : real] : zero_zero(real) = aa(real,real,root(zero_zero(nat)),X0)),
% 59.37/10.02    inference(rectify,[],[f1646])).
% 59.37/10.02  tff(f1646,axiom,(
% 59.37/10.02    ! [X14 : real] : zero_zero(real) = aa(real,real,root(zero_zero(nat)),X14)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1645_root__0)).
% 59.37/10.02  tff(f72755,plain,(
% 59.37/10.02    spl2737_1694 | ~spl2737_113 | ~spl2737_930),
% 59.37/10.02    inference(avatar_split_clause,[],[f69135,f68777,f64784,f72752])).
% 59.37/10.02  tff(f72752,plain,(
% 59.37/10.02    spl2737_1694 <=> sP124(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1694])])).
% 59.37/10.02  tff(f68777,plain,(
% 59.37/10.02    spl2737_930 <=> ! [X0 : $tType] : (sP124(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_930])])).
% 59.37/10.02  tff(f69135,plain,(
% 59.37/10.02    sP124(real) | (~spl2737_113 | ~spl2737_930)),
% 59.37/10.02    inference(resolution,[],[f68778,f64786])).
% 59.37/10.02  tff(f68778,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP124(X0)) ) | ~spl2737_930),
% 59.37/10.02    inference(avatar_component_clause,[],[f68777])).
% 59.37/10.02  tff(f72750,plain,(
% 59.37/10.02    spl2737_1693),
% 59.37/10.02    inference(avatar_split_clause,[],[f54241,f72748])).
% 59.37/10.02  tff(f72748,plain,(
% 59.37/10.02    spl2737_1693 <=> ! [X0 : real] : zero_zero(real) = aa(real,real,log2(X0),im(imaginary_unit))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1693])])).
% 59.37/10.02  tff(f54241,plain,(
% 59.37/10.02    ( ! [X0 : real] : (zero_zero(real) = aa(real,real,log2(X0),im(imaginary_unit))) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35828,f35393])).
% 59.37/10.02  tff(f35828,plain,(
% 59.37/10.02    ( ! [X0 : real] : (zero_zero(real) = aa(real,real,log2(X0),one_one(real))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9998])).
% 59.37/10.02  tff(f9998,plain,(
% 59.37/10.02    ! [X0 : real] : zero_zero(real) = aa(real,real,log2(X0),one_one(real))),
% 59.37/10.02    inference(rectify,[],[f1648])).
% 59.37/10.02  tff(f1648,axiom,(
% 59.37/10.02    ! [X7 : real] : zero_zero(real) = aa(real,real,log2(X7),one_one(real))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1647_log__one)).
% 59.37/10.02  tff(f72746,plain,(
% 59.37/10.02    spl2737_1692),
% 59.37/10.02    inference(avatar_split_clause,[],[f54240,f72744])).
% 59.37/10.02  tff(f72744,plain,(
% 59.37/10.02    spl2737_1692 <=> ! [X0 : nat] : one_one(nat) = aa(nat,nat,binomial(X0),size_num(one2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1692])])).
% 59.37/10.02  tff(f54240,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,binomial(X0),size_num(one2))) )),
% 59.37/10.02    inference(forward_demodulation,[],[f35825,f35397])).
% 59.37/10.02  tff(f35825,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,binomial(X0),zero_zero(nat))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9995])).
% 59.37/10.02  tff(f9995,plain,(
% 59.37/10.02    ! [X0 : nat] : one_one(nat) = aa(nat,nat,binomial(X0),zero_zero(nat))),
% 59.37/10.02    inference(rectify,[],[f2625])).
% 59.37/10.02  tff(f2625,axiom,(
% 59.37/10.02    ! [X8 : nat] : one_one(nat) = aa(nat,nat,binomial(X8),zero_zero(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2624_binomial__n__0)).
% 59.37/10.02  tff(f72742,plain,(
% 59.37/10.02    spl2737_1691),
% 59.37/10.02    inference(avatar_split_clause,[],[f54058,f72739])).
% 59.37/10.02  tff(f72739,plain,(
% 59.37/10.02    spl2737_1691 <=> size_num(one2) = aa(list(nat),nat,nat_list_encode,nil(nat))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1691])])).
% 59.37/10.02  tff(f54058,plain,(
% 59.37/10.02    size_num(one2) = aa(list(nat),nat,nat_list_encode,nil(nat))),
% 59.37/10.02    inference(forward_demodulation,[],[f35485,f35397])).
% 59.37/10.02  tff(f35485,plain,(
% 59.37/10.02    zero_zero(nat) = aa(list(nat),nat,nat_list_encode,nil(nat))),
% 59.37/10.02    inference(cnf_transformation,[],[f5466])).
% 59.37/10.02  tff(f5466,axiom,(
% 59.37/10.02    zero_zero(nat) = aa(list(nat),nat,nat_list_encode,nil(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5465_list__encode_Osimps_I1_J)).
% 59.37/10.02  tff(f72737,plain,(
% 59.37/10.02    spl2737_1690),
% 59.37/10.02    inference(avatar_split_clause,[],[f53380,f72734])).
% 59.37/10.02  tff(f72734,plain,(
% 59.37/10.02    spl2737_1690 <=> sP356(one_one(int),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1690])])).
% 59.37/10.02  tff(f53380,plain,(
% 59.37/10.02    sP356(one_one(int),aa(int,int,uminus_uminus(int),one_one(int)))),
% 59.37/10.02    inference(equality_resolution,[],[f53379])).
% 59.37/10.02  tff(f53379,plain,(
% 59.37/10.02    ( ! [X1 : int] : (sP356(one_one(int),X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 59.37/10.02    inference(equality_resolution,[],[f46621])).
% 59.37/10.02  tff(f46621,plain,(
% 59.37/10.02    ( ! [X0 : int,X1 : int] : (sP356(X0,X1) | one_one(int) != X0 | aa(int,int,uminus_uminus(int),one_one(int)) != X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32202])).
% 59.37/10.02  tff(f72732,plain,(
% 59.37/10.02    spl2737_1689),
% 59.37/10.02    inference(avatar_split_clause,[],[f53378,f72729])).
% 59.37/10.02  tff(f72729,plain,(
% 59.37/10.02    spl2737_1689 <=> sP356(aa(int,int,uminus_uminus(int),one_one(int)),one_one(int))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1689])])).
% 59.37/10.02  tff(f53378,plain,(
% 59.37/10.02    sP356(aa(int,int,uminus_uminus(int),one_one(int)),one_one(int))),
% 59.37/10.02    inference(equality_resolution,[],[f53377])).
% 59.37/10.02  tff(f53377,plain,(
% 59.37/10.02    ( ! [X1 : int] : (sP356(aa(int,int,uminus_uminus(int),one_one(int)),X1) | one_one(int) != X1) )),
% 59.37/10.02    inference(equality_resolution,[],[f46622])).
% 59.37/10.02  tff(f46622,plain,(
% 59.37/10.02    ( ! [X0 : int,X1 : int] : (sP356(X0,X1) | aa(int,int,uminus_uminus(int),one_one(int)) != X0 | one_one(int) != X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32202])).
% 59.37/10.02  tff(f72727,plain,(
% 59.37/10.02    spl2737_1688),
% 59.37/10.02    inference(avatar_split_clause,[],[f53320,f72725])).
% 59.37/10.02  tff(f72725,plain,(
% 59.37/10.02    spl2737_1688 <=> ! [X0 : set(nat)] : bij_betw(nat,nat,suc,X0,image(nat,nat,suc,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1688])])).
% 59.37/10.02  tff(f53320,plain,(
% 59.37/10.02    ( ! [X0 : set(nat)] : (bij_betw(nat,nat,suc,X0,image(nat,nat,suc,X0))) )),
% 59.37/10.02    inference(equality_resolution,[],[f46359])).
% 59.37/10.02  tff(f46359,plain,(
% 59.37/10.02    ( ! [X0 : set(nat),X1 : set(nat)] : (bij_betw(nat,nat,suc,X0,X1) | image(nat,nat,suc,X0) != X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32024])).
% 59.37/10.02  tff(f72723,plain,(
% 59.37/10.02    spl2737_1687),
% 59.37/10.02    inference(avatar_split_clause,[],[f52727,f72721])).
% 59.37/10.02  tff(f72721,plain,(
% 59.37/10.02    spl2737_1687 <=> ! [X1 : $tType,X0 : X1,X3 : X1] : (zero_zero(X1) = X0 | ~sP119(X1,X0,zero_zero(X1),X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1687])])).
% 59.37/10.02  tff(f52727,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | ~sP119(X1,X0,zero_zero(X1),X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38992])).
% 59.37/10.02  tff(f38992,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | zero_zero(X1) != X2 | ~sP119(X1,X0,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28926])).
% 59.37/10.02  tff(f28926,plain,(
% 59.37/10.02    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP119(X1,X0,X2,X3) | (zero_zero(X1) != X0 & zero_zero(X1) = X2) | (aa(X1,X1,uminus_uminus(X1),X3) != aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) & zero_zero(X1) != X2)) & (((zero_zero(X1) = X0 | zero_zero(X1) != X2) & (aa(X1,X1,uminus_uminus(X1),X3) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) | zero_zero(X1) = X2)) | ~sP119(X1,X0,X2,X3)))),
% 59.37/10.02    inference(rectify,[],[f28925])).
% 59.37/10.02  tff(f28925,plain,(
% 59.37/10.02    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : ((sP119(X0,X1,X3,X2) | (zero_zero(X0) != X1 & zero_zero(X0) = X3) | (aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) & zero_zero(X0) != X3)) & (((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) | zero_zero(X0) = X3)) | ~sP119(X0,X1,X3,X2)))),
% 59.37/10.02    inference(flattening,[],[f28924])).
% 59.37/10.02  tff(f28924,plain,(
% 59.37/10.02    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : ((sP119(X0,X1,X3,X2) | ((zero_zero(X0) != X1 & zero_zero(X0) = X3) | (aa(X0,X0,uminus_uminus(X0),X2) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) & zero_zero(X0) != X3))) & (((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) | zero_zero(X0) = X3)) | ~sP119(X0,X1,X3,X2)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27262])).
% 59.37/10.02  tff(f27262,plain,(
% 59.37/10.02    ! [X1 : X0,X0 : $tType,X3 : X0,X2 : X0] : (sP119(X0,X1,X3,X2) <=> ((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) | zero_zero(X0) = X3)))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])])).
% 59.37/10.02  tff(f72719,plain,(
% 59.37/10.02    spl2737_1686),
% 59.37/10.02    inference(avatar_split_clause,[],[f52721,f72717])).
% 59.37/10.02  tff(f72717,plain,(
% 59.37/10.02    spl2737_1686 <=> ! [X1 : $tType,X0 : X1,X3 : X1] : (zero_zero(X1) = X0 | ~sP117(X1,X0,zero_zero(X1),X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1686])])).
% 59.37/10.02  tff(f52721,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | ~sP117(X1,X0,zero_zero(X1),X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38983])).
% 59.37/10.02  tff(f38983,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | zero_zero(X1) != X2 | ~sP117(X1,X0,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28922])).
% 59.37/10.02  tff(f28922,plain,(
% 59.37/10.02    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP117(X1,X0,X2,X3) | (zero_zero(X1) != X0 & zero_zero(X1) = X2) | (aa(X1,X1,uminus_uminus(X1),X3) != aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) & zero_zero(X1) != X2)) & (((zero_zero(X1) = X0 | zero_zero(X1) != X2) & (aa(X1,X1,uminus_uminus(X1),X3) = aa(X1,X1,aa(X1,fun(X1,X1),times_times(X1),X0),X2) | zero_zero(X1) = X2)) | ~sP117(X1,X0,X2,X3)))),
% 59.37/10.02    inference(rectify,[],[f28921])).
% 59.37/10.02  tff(f28921,plain,(
% 59.37/10.02    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP117(X0,X3,X2,X1) | (zero_zero(X0) != X3 & zero_zero(X0) = X2) | (aa(X0,X0,uminus_uminus(X0),X1) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) & zero_zero(X0) != X2)) & (((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) | zero_zero(X0) = X2)) | ~sP117(X0,X3,X2,X1)))),
% 59.37/10.02    inference(flattening,[],[f28920])).
% 59.37/10.02  tff(f28920,plain,(
% 59.37/10.02    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP117(X0,X3,X2,X1) | ((zero_zero(X0) != X3 & zero_zero(X0) = X2) | (aa(X0,X0,uminus_uminus(X0),X1) != aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) & zero_zero(X0) != X2))) & (((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) | zero_zero(X0) = X2)) | ~sP117(X0,X3,X2,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27259])).
% 59.37/10.02  tff(f27259,plain,(
% 59.37/10.02    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP117(X0,X3,X2,X1) <=> ((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) | zero_zero(X0) = X2)))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])])).
% 59.37/10.02  tff(f72715,plain,(
% 59.37/10.02    spl2737_1685),
% 59.37/10.02    inference(avatar_split_clause,[],[f52695,f72713])).
% 59.37/10.02  tff(f72713,plain,(
% 59.37/10.02    spl2737_1685 <=> ! [X1 : $tType,X0 : X1,X3 : X1] : (zero_zero(X1) = X0 | ~sP107(X1,X0,zero_zero(X1),X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1685])])).
% 59.37/10.02  tff(f52695,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | ~sP107(X1,X0,zero_zero(X1),X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38938])).
% 59.37/10.02  tff(f38938,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | zero_zero(X1) != X2 | ~sP107(X1,X0,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28902])).
% 59.37/10.02  tff(f72711,plain,(
% 59.37/10.02    spl2737_1684),
% 59.37/10.02    inference(avatar_split_clause,[],[f52688,f72709])).
% 59.37/10.02  tff(f72709,plain,(
% 59.37/10.02    spl2737_1684 <=> ! [X0 : $tType,X2 : X0,X3 : X0] : (sP107(X0,divide_divide(X0,X2,X3),X3,X2) | ~sP108(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1684])])).
% 59.37/10.02  tff(f52688,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sP107(X0,divide_divide(X0,X2,X3),X3,X2) | ~sP108(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38935])).
% 59.37/10.02  tff(f38935,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (sP107(X0,X1,X3,X2) | divide_divide(X0,X2,X3) != X1 | ~sP108(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28899])).
% 59.37/10.02  tff(f72707,plain,(
% 59.37/10.02    spl2737_1683 | ~spl2737_112 | ~spl2737_930),
% 59.37/10.02    inference(avatar_split_clause,[],[f69134,f68777,f64779,f72704])).
% 59.37/10.02  tff(f72704,plain,(
% 59.37/10.02    spl2737_1683 <=> sP124(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1683])])).
% 59.37/10.02  tff(f69134,plain,(
% 59.37/10.02    sP124(rat) | (~spl2737_112 | ~spl2737_930)),
% 59.37/10.02    inference(resolution,[],[f68778,f64781])).
% 59.37/10.02  tff(f72702,plain,(
% 59.37/10.02    spl2737_1682),
% 59.37/10.02    inference(avatar_split_clause,[],[f52687,f72700])).
% 59.37/10.02  tff(f72700,plain,(
% 59.37/10.02    spl2737_1682 <=> ! [X1 : $tType,X0 : X1,X3 : X1] : (zero_zero(X1) = X0 | ~sP105(X1,X0,zero_zero(X1),X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1682])])).
% 59.37/10.02  tff(f52687,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | ~sP105(X1,X0,zero_zero(X1),X3)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38929])).
% 59.37/10.02  tff(f38929,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) = X0 | zero_zero(X1) != X2 | ~sP105(X1,X0,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28898])).
% 59.37/10.02  tff(f72698,plain,(
% 59.37/10.02    spl2737_1681),
% 59.37/10.02    inference(avatar_split_clause,[],[f52680,f72696])).
% 59.37/10.02  tff(f72696,plain,(
% 59.37/10.02    spl2737_1681 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (sP105(X0,divide_divide(X0,X1,X2),X2,X1) | ~sP106(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1681])])).
% 59.37/10.02  tff(f52680,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP105(X0,divide_divide(X0,X1,X2),X2,X1) | ~sP106(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38926])).
% 59.37/10.02  tff(f38926,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (sP105(X0,X3,X2,X1) | divide_divide(X0,X1,X2) != X3 | ~sP106(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28895])).
% 59.37/10.02  tff(f72694,plain,(
% 59.37/10.02    spl2737_1680),
% 59.37/10.02    inference(avatar_split_clause,[],[f52662,f72692])).
% 59.37/10.02  tff(f72692,plain,(
% 59.37/10.02    spl2737_1680 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != power_int(X0,X1,zero_zero(int)) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1680])])).
% 59.37/10.02  tff(f52662,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != power_int(X0,X1,zero_zero(int)) | ~division_ring(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38879])).
% 59.37/10.02  tff(f38879,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : int,X1 : X0] : (zero_zero(X0) != power_int(X0,X1,X2) | zero_zero(int) != X2 | ~division_ring(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20103])).
% 59.37/10.02  tff(f72690,plain,(
% 59.37/10.02    spl2737_1679),
% 59.37/10.02    inference(avatar_split_clause,[],[f52642,f72688])).
% 59.37/10.02  tff(f72688,plain,(
% 59.37/10.02    spl2737_1679 <=> ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X2) | ~field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1679])])).
% 59.37/10.02  tff(f52642,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X2) | ~field(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38682])).
% 59.37/10.02  tff(f38682,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | zero_zero(X0) != X1 | ~field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28865])).
% 59.37/10.02  tff(f72686,plain,(
% 59.37/10.02    spl2737_1678),
% 59.37/10.02    inference(avatar_split_clause,[],[f52641,f72684])).
% 59.37/10.02  tff(f72684,plain,(
% 59.37/10.02    spl2737_1678 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1678])])).
% 59.37/10.02  tff(f52641,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~field(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38683])).
% 59.37/10.02  tff(f38683,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,X2) | zero_zero(X0) != X2 | ~field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28865])).
% 59.37/10.02  tff(f72682,plain,(
% 59.37/10.02    spl2737_1677),
% 59.37/10.02    inference(avatar_split_clause,[],[f52638,f72680])).
% 59.37/10.02  tff(f72680,plain,(
% 59.37/10.02    spl2737_1677 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1677])])).
% 59.37/10.02  tff(f52638,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~field(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f38675])).
% 59.37/10.02  tff(f38675,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) != X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28861])).
% 59.37/10.02  tff(f72678,plain,(
% 59.37/10.02    spl2737_1676),
% 59.37/10.02    inference(avatar_split_clause,[],[f52616,f72676])).
% 59.37/10.02  tff(f72676,plain,(
% 59.37/10.02    spl2737_1676 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~linordered_field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1676])])).
% 59.37/10.02  tff(f52616,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) != divide_divide(X0,X1,zero_zero(X0)) | ~linordered_field(X0)) )),
% 59.37/10.02    inference(equality_resolution,[],[f37834])).
% 59.37/10.02  tff(f37834,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (zero_zero(X0) != X2 | one_one(X0) != divide_divide(X0,X1,X2) | ~linordered_field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f28545])).
% 59.37/10.02  tff(f72674,plain,(
% 59.37/10.02    spl2737_1675),
% 59.37/10.02    inference(avatar_split_clause,[],[f52527,f72671])).
% 59.37/10.02  tff(f72671,plain,(
% 59.37/10.02    spl2737_1675 <=> zero_zero(int) = aa(int,int,sgn_sgn(int),zero_zero(int))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1675])])).
% 59.37/10.02  tff(f72669,plain,(
% 59.37/10.02    spl2737_1674),
% 59.37/10.02    inference(avatar_split_clause,[],[f52526,f72666])).
% 59.37/10.02  tff(f72666,plain,(
% 59.37/10.02    spl2737_1674 <=> zero_zero(real) = aa(real,real,sgn_sgn(real),zero_zero(real))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1674])])).
% 59.37/10.02  tff(f52526,plain,(
% 59.37/10.02    zero_zero(real) = aa(real,real,sgn_sgn(real),zero_zero(real))),
% 59.37/10.02    inference(equality_resolution,[],[f36341])).
% 59.37/10.02  tff(f36341,plain,(
% 59.37/10.02    ( ! [X0 : real] : (zero_zero(real) = aa(real,real,sgn_sgn(real),X0) | zero_zero(real) != X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18398])).
% 59.37/10.02  tff(f18398,plain,(
% 59.37/10.02    ! [X0 : real] : ((((aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,sgn_sgn(real),X0) | pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0))) & (one_one(real) = aa(real,real,sgn_sgn(real),X0) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0)))) | zero_zero(real) = X0) & (zero_zero(real) = aa(real,real,sgn_sgn(real),X0) | zero_zero(real) != X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10492])).
% 59.37/10.02  tff(f10492,plain,(
% 59.37/10.02    ! [X0 : real] : ((zero_zero(real) != X0 => ((~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0)) => aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,sgn_sgn(real),X0)) & (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0)) => one_one(real) = aa(real,real,sgn_sgn(real),X0)))) & (zero_zero(real) = X0 => zero_zero(real) = aa(real,real,sgn_sgn(real),X0)))),
% 59.37/10.02    inference(rectify,[],[f1918])).
% 59.37/10.02  tff(f1918,axiom,(
% 59.37/10.02    ! [X7 : real] : ((zero_zero(real) != X7 => ((~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X7)) => aa(real,real,uminus_uminus(real),one_one(real)) = aa(real,real,sgn_sgn(real),X7)) & (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X7)) => one_one(real) = aa(real,real,sgn_sgn(real),X7)))) & (zero_zero(real) = X7 => zero_zero(real) = aa(real,real,sgn_sgn(real),X7)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1917_sgn__real__def)).
% 59.37/10.02  tff(f72664,plain,(
% 59.37/10.02    spl2737_1673),
% 59.37/10.02    inference(avatar_split_clause,[],[f52525,f72661])).
% 59.37/10.02  tff(f72661,plain,(
% 59.37/10.02    spl2737_1673 <=> zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),zero_zero(rat))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1673])])).
% 59.37/10.02  tff(f52525,plain,(
% 59.37/10.02    zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),zero_zero(rat))),
% 59.37/10.02    inference(equality_resolution,[],[f36338])).
% 59.37/10.02  tff(f36338,plain,(
% 59.37/10.02    ( ! [X0 : rat] : (zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),X0) | zero_zero(rat) != X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18397])).
% 59.37/10.02  tff(f18397,plain,(
% 59.37/10.02    ! [X0 : rat] : ((((aa(rat,rat,uminus_uminus(rat),one_one(rat)) = aa(rat,rat,sgn_sgn(rat),X0) | pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X0))) & (one_one(rat) = aa(rat,rat,sgn_sgn(rat),X0) | ~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X0)))) | zero_zero(rat) = X0) & (zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),X0) | zero_zero(rat) != X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10491])).
% 59.37/10.02  tff(f10491,plain,(
% 59.37/10.02    ! [X0 : rat] : ((zero_zero(rat) != X0 => ((~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X0)) => aa(rat,rat,uminus_uminus(rat),one_one(rat)) = aa(rat,rat,sgn_sgn(rat),X0)) & (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X0)) => one_one(rat) = aa(rat,rat,sgn_sgn(rat),X0)))) & (zero_zero(rat) = X0 => zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),X0)))),
% 59.37/10.02    inference(rectify,[],[f4488])).
% 59.37/10.02  tff(f4488,axiom,(
% 59.37/10.02    ! [X7 : rat] : ((zero_zero(rat) != X7 => ((~pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X7)) => aa(rat,rat,sgn_sgn(rat),X7) = aa(rat,rat,uminus_uminus(rat),one_one(rat))) & (pp(aa(rat,bool,aa(rat,fun(rat,bool),ord_less(rat),zero_zero(rat)),X7)) => aa(rat,rat,sgn_sgn(rat),X7) = one_one(rat)))) & (zero_zero(rat) = X7 => zero_zero(rat) = aa(rat,rat,sgn_sgn(rat),X7)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4487_sgn__rat__def)).
% 59.37/10.02  tff(f72659,plain,(
% 59.37/10.02    spl2737_1672 | ~spl2737_111 | ~spl2737_930),
% 59.37/10.02    inference(avatar_split_clause,[],[f69133,f68777,f64774,f72656])).
% 59.37/10.02  tff(f72656,plain,(
% 59.37/10.02    spl2737_1672 <=> sP124(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1672])])).
% 59.37/10.02  tff(f69133,plain,(
% 59.37/10.02    sP124(complex) | (~spl2737_111 | ~spl2737_930)),
% 59.37/10.02    inference(resolution,[],[f68778,f64776])).
% 59.37/10.02  tff(f72654,plain,(
% 59.37/10.02    spl2737_1671),
% 59.37/10.02    inference(avatar_split_clause,[],[f52523,f72651])).
% 59.37/10.02  tff(f72651,plain,(
% 59.37/10.02    spl2737_1671 <=> zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),zero_zero(code_integer))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1671])])).
% 59.37/10.02  tff(f52523,plain,(
% 59.37/10.02    zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),zero_zero(code_integer))),
% 59.37/10.02    inference(equality_resolution,[],[f36333])).
% 59.37/10.02  tff(f36333,plain,(
% 59.37/10.02    ( ! [X0 : code_integer] : (zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),X0) | zero_zero(code_integer) != X0) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18395])).
% 59.37/10.02  tff(f18395,plain,(
% 59.37/10.02    ! [X0 : code_integer] : ((((one_one(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),X0) | pp(aa(code_integer,bool,aa(code_integer,fun(code_integer,bool),ord_less(code_integer),X0),zero_zero(code_integer)))) & (aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = aa(code_integer,code_integer,sgn_sgn(code_integer),X0) | ~pp(aa(code_integer,bool,aa(code_integer,fun(code_integer,bool),ord_less(code_integer),X0),zero_zero(code_integer))))) | zero_zero(code_integer) = X0) & (zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),X0) | zero_zero(code_integer) != X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10489])).
% 59.37/10.02  tff(f10489,plain,(
% 59.37/10.02    ! [X0 : code_integer] : ((zero_zero(code_integer) != X0 => ((~pp(aa(code_integer,bool,aa(code_integer,fun(code_integer,bool),ord_less(code_integer),X0),zero_zero(code_integer))) => one_one(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),X0)) & (pp(aa(code_integer,bool,aa(code_integer,fun(code_integer,bool),ord_less(code_integer),X0),zero_zero(code_integer))) => aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer)) = aa(code_integer,code_integer,sgn_sgn(code_integer),X0)))) & (zero_zero(code_integer) = X0 => zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),X0)))),
% 59.37/10.02    inference(rectify,[],[f4351])).
% 59.37/10.02  tff(f4351,axiom,(
% 59.37/10.02    ! [X18 : code_integer] : ((zero_zero(code_integer) != X18 => ((~pp(aa(code_integer,bool,aa(code_integer,fun(code_integer,bool),ord_less(code_integer),X18),zero_zero(code_integer))) => aa(code_integer,code_integer,sgn_sgn(code_integer),X18) = one_one(code_integer)) & (pp(aa(code_integer,bool,aa(code_integer,fun(code_integer,bool),ord_less(code_integer),X18),zero_zero(code_integer))) => aa(code_integer,code_integer,sgn_sgn(code_integer),X18) = aa(code_integer,code_integer,uminus_uminus(code_integer),one_one(code_integer))))) & (zero_zero(code_integer) = X18 => zero_zero(code_integer) = aa(code_integer,code_integer,sgn_sgn(code_integer),X18)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4350_sgn__integer__code)).
% 59.37/10.02  tff(f72649,plain,(
% 59.37/10.02    spl2737_1670),
% 59.37/10.02    inference(avatar_split_clause,[],[f50578,f72647])).
% 59.37/10.02  tff(f72647,plain,(
% 59.37/10.02    spl2737_1670 <=> ! [X0 : nat] : bot_bot(set(nat)) = collect(nat,vEBT_vebt_member(vEBT_vebt_buildup(X0)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1670])])).
% 59.37/10.02  tff(f50578,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (bot_bot(set(nat)) = collect(nat,vEBT_vebt_member(vEBT_vebt_buildup(X0)))) )),
% 59.37/10.02    inference(definition_unfolding,[],[f35803,f35802])).
% 59.37/10.02  tff(f35802,plain,(
% 59.37/10.02    ( ! [X0 : vEBT_VEBT] : (vEBT_VEBT_set_vebt(X0) = collect(nat,vEBT_vebt_member(X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9972])).
% 59.37/10.02  tff(f9972,plain,(
% 59.37/10.02    ! [X0 : vEBT_VEBT] : vEBT_VEBT_set_vebt(X0) = collect(nat,vEBT_vebt_member(X0))),
% 59.37/10.02    inference(rectify,[],[f3503])).
% 59.37/10.02  tff(f3503,axiom,(
% 59.37/10.02    ! [X41 : vEBT_VEBT] : vEBT_VEBT_set_vebt(X41) = collect(nat,vEBT_vebt_member(X41))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3502_set__vebt_H__def)).
% 59.37/10.02  tff(f35803,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (bot_bot(set(nat)) = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9973])).
% 59.37/10.02  tff(f9973,plain,(
% 59.37/10.02    ! [X0 : nat] : bot_bot(set(nat)) = vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X0))),
% 59.37/10.02    inference(rectify,[],[f3242])).
% 59.37/10.02  tff(f3242,axiom,(
% 59.37/10.02    ! [X8 : nat] : vEBT_VEBT_set_vebt(vEBT_vebt_buildup(X8)) = bot_bot(set(nat))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3241_buildup__gives__empty)).
% 59.37/10.02  tff(f72645,plain,(
% 59.37/10.02    spl2737_1669),
% 59.37/10.02    inference(avatar_split_clause,[],[f50123,f72643])).
% 59.37/10.02  tff(f72643,plain,(
% 59.37/10.02    spl2737_1669 <=> ! [X2 : nat,X4 : vEBT_VEBT,X0 : nat,X3 : nat,X1 : list(vEBT_VEBT)] : (sP544(X4,X1,X0) | ~sP545(X0,X1,X2,X3,X4))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1669])])).
% 59.37/10.02  tff(f50123,plain,(
% 59.37/10.02    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (sP544(X4,X1,X0) | ~sP545(X0,X1,X2,X3,X4)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f34367])).
% 59.37/10.02  tff(f72641,plain,(
% 59.37/10.02    spl2737_1668),
% 59.37/10.02    inference(avatar_split_clause,[],[f49852,f72639])).
% 59.37/10.02  tff(f72639,plain,(
% 59.37/10.02    spl2737_1668 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat] : (X1 = X4 | ~vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1668])])).
% 59.37/10.02  tff(f49852,plain,(
% 59.37/10.02    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : nat] : (X1 = X4 | ~vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f26738])).
% 59.37/10.02  tff(f26738,plain,(
% 59.37/10.02    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (X1 = X4 | ~vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4))),
% 59.37/10.02    inference(ennf_transformation,[],[f18060])).
% 59.37/10.02  tff(f18060,plain,(
% 59.37/10.02    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : nat] : (vEBT_invar_vebt(vEBT_Node(X0,X1,X2,X3),X4) => X1 = X4)),
% 59.37/10.02    inference(rectify,[],[f286])).
% 59.37/10.02  tff(f286,axiom,(
% 59.37/10.02    ! [X70 : option(product_prod(nat,nat)),X71 : nat,X72 : list(vEBT_VEBT),X73 : vEBT_VEBT,X8 : nat] : (vEBT_invar_vebt(vEBT_Node(X70,X71,X72,X73),X8) => X8 = X71)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_deg__deg__n)).
% 59.37/10.02  tff(f72637,plain,(
% 59.37/10.02    spl2737_1667),
% 59.37/10.02    inference(avatar_split_clause,[],[f49849,f72635])).
% 59.37/10.02  tff(f72635,plain,(
% 59.37/10.02    spl2737_1667 <=> ! [X0 : $tType,X4 : fun(X0,fun(X0,bool)),X3 : fun(X0,fun(X0,bool)),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (semilattice_neutr(X0,X1,X2) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1667])])).
% 59.37/10.02  tff(f49849,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,fun(X0,bool)),X1 : fun(X0,fun(X0,X0)),X4 : fun(X0,fun(X0,bool))] : (semilattice_neutr(X0,X1,X2) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f26735])).
% 59.37/10.02  tff(f26735,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool))] : (semilattice_neutr(X0,X1,X2) | ~semila1105856199041335345_order(X0,X1,X2,X3,X4))),
% 59.37/10.02    inference(ennf_transformation,[],[f18057])).
% 59.37/10.02  tff(f18057,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,fun(X0,bool)),X4 : fun(X0,fun(X0,bool))] : (semila1105856199041335345_order(X0,X1,X2,X3,X4) => semilattice_neutr(X0,X1,X2))),
% 59.37/10.02    inference(rectify,[],[f7344])).
% 59.37/10.02  tff(f7344,axiom,(
% 59.37/10.02    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X235 : fun(X0,fun(X0,bool)),X236 : fun(X0,fun(X0,bool))] : (semila1105856199041335345_order(X0,X32,X60,X235,X236) => semilattice_neutr(X0,X32,X60))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7343_semilattice__neutr__order_Oaxioms_I1_J)).
% 59.37/10.02  tff(f72633,plain,(
% 59.37/10.02    spl2737_1666),
% 59.37/10.02    inference(avatar_split_clause,[],[f49201,f72631])).
% 59.37/10.02  tff(f72631,plain,(
% 59.37/10.02    spl2737_1666 <=> ! [X0 : $tType,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (group_axioms(X0,X1,X2,X3) | ~group(X0,X1,X2,X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1666])])).
% 59.37/10.02  tff(f49201,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0))] : (group_axioms(X0,X1,X2,X3) | ~group(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f26403])).
% 59.37/10.02  tff(f26403,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (group_axioms(X0,X1,X2,X3) | ~group(X0,X1,X2,X3))),
% 59.37/10.02    inference(ennf_transformation,[],[f17762])).
% 59.37/10.02  tff(f17762,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (group(X0,X1,X2,X3) => group_axioms(X0,X1,X2,X3))),
% 59.37/10.02    inference(rectify,[],[f8044])).
% 59.37/10.02  tff(f8044,axiom,(
% 59.37/10.02    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X346 : fun(X0,X0)] : (group(X0,X32,X60,X346) => group_axioms(X0,X32,X60,X346))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8043_group_Oaxioms_I2_J)).
% 59.37/10.02  tff(f72629,plain,(
% 59.37/10.02    spl2737_1665),
% 59.37/10.02    inference(avatar_split_clause,[],[f48448,f72627])).
% 59.37/10.02  tff(f72627,plain,(
% 59.37/10.02    spl2737_1665 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (remdups_adj(X0,X1) = X2 | ~sP467(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1665])])).
% 59.37/10.02  tff(f48448,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (remdups_adj(X0,X1) = X2 | ~sP467(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33279])).
% 59.37/10.02  tff(f33279,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((remdups_adj(X0,X1) = X2 | ~sP467(X0,X1,X2)) & (sP467(X0,X1,X2) | remdups_adj(X0,X1) != X2))),
% 59.37/10.02    inference(nnf_transformation,[],[f27780])).
% 59.37/10.02  tff(f27780,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> sP467(X0,X1,X2))),
% 59.37/10.02    inference(definition_folding,[],[f26281,f27779,f27778])).
% 59.37/10.02  tff(f27778,plain,(
% 59.37/10.02    ! [X3 : fun(nat,nat),X1 : list(X0),X0 : $tType] : (sP466(X0,X3,X1) <=> ! [X4 : nat] : ((aa(nat,X0,nth(X0,X1),X4) = aa(nat,X0,nth(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))) <=> aa(nat,nat,X3,X4) = aa(nat,nat,X3,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP466])])).
% 59.37/10.02  tff(f26281,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> ? [X3 : fun(nat,nat)] : (! [X4 : nat] : ((aa(nat,X0,nth(X0,X1),X4) = aa(nat,X0,nth(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))) <=> aa(nat,nat,X3,X4) = aa(nat,nat,X3,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))),aa(list(X0),nat,size_size(list(X0)),X1)))) & ! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X5) = aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) & image(nat,nat,X3,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)))),
% 59.37/10.02    inference(ennf_transformation,[],[f17440])).
% 59.37/10.02  tff(f17440,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> ? [X3 : fun(nat,nat)] : (! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))),aa(list(X0),nat,size_size(list(X0)),X1))) => (aa(nat,X0,nth(X0,X1),X4) = aa(nat,X0,nth(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))) <=> aa(nat,nat,X3,X4) = aa(nat,nat,X3,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X4),one_one(nat))))) & ! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1))) => aa(nat,X0,nth(X0,X1),X5) = aa(nat,X0,nth(X0,X2),aa(nat,nat,X3,X5))) & image(nat,nat,X3,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X1))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X2)) & order_mono(nat,nat,X3)))),
% 59.37/10.02    inference(rectify,[],[f5574])).
% 59.37/10.02  tff(f5574,axiom,(
% 59.37/10.02    ! [X0 : $tType,X123 : list(X0),X167 : list(X0)] : (remdups_adj(X0,X123) = X167 <=> ? [X237 : fun(nat,nat)] : (! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X29),one_one(nat))),aa(list(X0),nat,size_size(list(X0)),X123))) => (aa(nat,X0,nth(X0,X123),X29) = aa(nat,X0,nth(X0,X123),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X29),one_one(nat))) <=> aa(nat,nat,X237,X29) = aa(nat,nat,X237,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X29),one_one(nat))))) & ! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(list(X0),nat,size_size(list(X0)),X123))) => aa(nat,X0,nth(X0,X123),X29) = aa(nat,X0,nth(X0,X167),aa(nat,nat,X237,X29))) & image(nat,nat,X237,set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X123))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X167)) & order_mono(nat,nat,X237)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5573_remdups__adj__altdef)).
% 59.37/10.02  tff(f72625,plain,(
% 59.37/10.02    spl2737_1664),
% 59.37/10.02    inference(avatar_split_clause,[],[f48433,f72623])).
% 59.37/10.02  tff(f72623,plain,(
% 59.37/10.02    spl2737_1664 <=> ! [X2 : nat,X0 : bool,X1 : bool] : (vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) | ~sP465(X2,X1) | ~pp(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1664])])).
% 59.37/10.02  tff(f48433,plain,(
% 59.37/10.02    ( ! [X2 : nat,X0 : bool,X1 : bool] : (vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) | ~sP465(X2,X1) | ~pp(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33267])).
% 59.37/10.02  tff(f33267,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : bool,X2 : nat] : ((vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) | ~sP465(X2,X1) | (~pp(X0) & zero_zero(nat) = X2)) & ((sP465(X2,X1) & (pp(X0) | zero_zero(nat) != X2)) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)))),
% 59.37/10.02    inference(flattening,[],[f33266])).
% 59.37/10.02  tff(f33266,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : bool,X2 : nat] : ((vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) | (~sP465(X2,X1) | (~pp(X0) & zero_zero(nat) = X2))) & ((sP465(X2,X1) & (pp(X0) | zero_zero(nat) != X2)) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27777])).
% 59.37/10.02  tff(f27777,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : bool,X2 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) <=> (sP465(X2,X1) & (pp(X0) | zero_zero(nat) != X2)))),
% 59.37/10.02    inference(definition_folding,[],[f26280,f27776])).
% 59.37/10.02  tff(f26280,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : bool,X2 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) <=> (((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2) & (pp(X0) | zero_zero(nat) != X2)))),
% 59.37/10.02    inference(ennf_transformation,[],[f17438])).
% 59.37/10.02  tff(f17438,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : bool,X2 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) <=> ((zero_zero(nat) != X2 => (one_one(nat) = X2 & (one_one(nat) = X2 => pp(X1)))) & (zero_zero(nat) = X2 => pp(X0))))),
% 59.37/10.02    inference(rectify,[],[f374])).
% 59.37/10.02  tff(f374,axiom,(
% 59.37/10.02    ! [X7 : bool,X49 : bool,X14 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X7,X49),X14) <=> ((zero_zero(nat) != X14 => (one_one(nat) = X14 & (one_one(nat) = X14 => pp(X49)))) & (zero_zero(nat) = X14 => pp(X7))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_373_VEBT__internal_Onaive__member_Osimps_I1_J)).
% 59.37/10.02  tff(f72621,plain,(
% 59.37/10.02    spl2737_1663),
% 59.37/10.02    inference(avatar_split_clause,[],[f48411,f72619])).
% 59.37/10.02  tff(f72619,plain,(
% 59.37/10.02    spl2737_1663 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2370(X0,X1,X2) = X1 | ~sP462(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1663])])).
% 59.37/10.02  tff(f48411,plain,(
% 59.37/10.02    ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2370(X0,X1,X2) = X1 | ~sP462(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33255])).
% 59.37/10.02  tff(f72617,plain,(
% 59.37/10.02    spl2737_1662),
% 59.37/10.02    inference(avatar_split_clause,[],[f48410,f72615])).
% 59.37/10.02  tff(f72615,plain,(
% 59.37/10.02    spl2737_1662 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2371(X0,X1,X2) = X2 | ~sP462(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1662])])).
% 59.37/10.02  tff(f48410,plain,(
% 59.37/10.02    ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2371(X0,X1,X2) = X2 | ~sP462(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33255])).
% 59.37/10.02  tff(f72613,plain,(
% 59.37/10.02    spl2737_1661 | ~spl2737_113 | ~spl2737_929),
% 59.37/10.02    inference(avatar_split_clause,[],[f69132,f68773,f64784,f72610])).
% 59.37/10.02  tff(f72610,plain,(
% 59.37/10.02    spl2737_1661 <=> sP122(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1661])])).
% 59.37/10.02  tff(f68773,plain,(
% 59.37/10.02    spl2737_929 <=> ! [X0 : $tType] : (sP122(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_929])])).
% 59.37/10.02  tff(f69132,plain,(
% 59.37/10.02    sP122(real) | (~spl2737_113 | ~spl2737_929)),
% 59.37/10.02    inference(resolution,[],[f68774,f64786])).
% 59.37/10.02  tff(f68774,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP122(X0)) ) | ~spl2737_929),
% 59.37/10.02    inference(avatar_component_clause,[],[f68773])).
% 59.37/10.02  tff(f72608,plain,(
% 59.37/10.02    spl2737_1660),
% 59.37/10.02    inference(avatar_split_clause,[],[f48404,f72606])).
% 59.37/10.02  tff(f72606,plain,(
% 59.37/10.02    spl2737_1660 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2367(X0,X1,X2) = X1 | ~sP463(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1660])])).
% 59.37/10.02  tff(f48404,plain,(
% 59.37/10.02    ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2367(X0,X1,X2) = X1 | ~sP463(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33251])).
% 59.37/10.02  tff(f33251,plain,(
% 59.37/10.02    ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP463(X0,X1,X2) | ! [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) != X5 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) | aa(int,int,sgn_sgn(int),X4) != aa(int,int,sgn_sgn(int),X3) | aa(int,product_prod(int,int),product_Pair(int,int,X6),X3) != X0 | X1 != X4 | X2 != X5)) & ((sK2368(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),sK2369(X0,X1,X2)),sK2367(X0,X1,X2))),sK2366(X0,X1,X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),sK2366(X0,X1,X2))),aa(int,int,abs_abs(int),sK2367(X0,X1,X2)))) & aa(int,int,sgn_sgn(int),sK2366(X0,X1,X2)) = aa(int,int,sgn_sgn(int),sK2367(X0,X1,X2)) & aa(int,product_prod(int,int),product_Pair(int,int,sK2369(X0,X1,X2)),sK2366(X0,X1,X2)) = X0 & sK2367(X0,X1,X2) = X1 & sK2368(X0,X1,X2) = X2) | ~sP463(X0,X1,X2)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2366,sK2367,sK2368,sK2369])],[f33249,f33250])).
% 59.37/10.02  tff(f33250,plain,(
% 59.37/10.02    ! [X0 : product_prod(int,int),X1 : int,X2 : int] : (? [X7 : int,X8 : int,X9 : int,X10 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X10),X8)),X7) = X9 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X7)),aa(int,int,abs_abs(int),X8))) & aa(int,int,sgn_sgn(int),X7) = aa(int,int,sgn_sgn(int),X8) & aa(int,product_prod(int,int),product_Pair(int,int,X10),X7) = X0 & X1 = X8 & X2 = X9) => (sK2368(X0,X1,X2) = aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),sK2369(X0,X1,X2)),sK2367(X0,X1,X2))),sK2366(X0,X1,X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),sK2366(X0,X1,X2))),aa(int,int,abs_abs(int),sK2367(X0,X1,X2)))) & aa(int,int,sgn_sgn(int),sK2366(X0,X1,X2)) = aa(int,int,sgn_sgn(int),sK2367(X0,X1,X2)) & aa(int,product_prod(int,int),product_Pair(int,int,sK2369(X0,X1,X2)),sK2366(X0,X1,X2)) = X0 & sK2367(X0,X1,X2) = X1 & sK2368(X0,X1,X2) = X2))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f33249,plain,(
% 59.37/10.02    ! [X0 : product_prod(int,int),X1 : int,X2 : int] : ((sP463(X0,X1,X2) | ! [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) != X5 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) | aa(int,int,sgn_sgn(int),X4) != aa(int,int,sgn_sgn(int),X3) | aa(int,product_prod(int,int),product_Pair(int,int,X6),X3) != X0 | X1 != X4 | X2 != X5)) & (? [X7 : int,X8 : int,X9 : int,X10 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X10),X8)),X7) = X9 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X7)),aa(int,int,abs_abs(int),X8))) & aa(int,int,sgn_sgn(int),X7) = aa(int,int,sgn_sgn(int),X8) & aa(int,product_prod(int,int),product_Pair(int,int,X10),X7) = X0 & X1 = X8 & X2 = X9) | ~sP463(X0,X1,X2)))),
% 59.37/10.02    inference(rectify,[],[f33248])).
% 59.37/10.02  tff(f33248,plain,(
% 59.37/10.02    ! [X2 : product_prod(int,int),X1 : int,X0 : int] : ((sP463(X2,X1,X0) | ! [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) != X5 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) | aa(int,int,sgn_sgn(int),X4) != aa(int,int,sgn_sgn(int),X3) | aa(int,product_prod(int,int),product_Pair(int,int,X6),X3) != X2 | X1 != X4 | X0 != X5)) & (? [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) = X5 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) & aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X3) & aa(int,product_prod(int,int),product_Pair(int,int,X6),X3) = X2 & X1 = X4 & X0 = X5) | ~sP463(X2,X1,X0)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27773])).
% 59.37/10.02  tff(f27773,plain,(
% 59.37/10.02    ! [X2 : product_prod(int,int),X1 : int,X0 : int] : (sP463(X2,X1,X0) <=> ? [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) = X5 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) & aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X3) & aa(int,product_prod(int,int),product_Pair(int,int,X6),X3) = X2 & X1 = X4 & X0 = X5))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP463])])).
% 59.37/10.02  tff(f72604,plain,(
% 59.37/10.02    spl2737_1659),
% 59.37/10.02    inference(avatar_split_clause,[],[f48403,f72602])).
% 59.37/10.02  tff(f72602,plain,(
% 59.37/10.02    spl2737_1659 <=> ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2368(X0,X1,X2) = X2 | ~sP463(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1659])])).
% 59.37/10.02  tff(f48403,plain,(
% 59.37/10.02    ( ! [X2 : int,X0 : product_prod(int,int),X1 : int] : (sK2368(X0,X1,X2) = X2 | ~sP463(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33251])).
% 59.37/10.02  tff(f72600,plain,(
% 59.37/10.02    spl2737_1658),
% 59.37/10.02    inference(avatar_split_clause,[],[f48257,f72598])).
% 59.37/10.02  tff(f72598,plain,(
% 59.37/10.02    spl2737_1658 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (~sP451(X1,X0) | ~pp(X3) | ~sP452(X0,X1,X2,X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1658])])).
% 59.37/10.02  tff(f48257,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (~sP451(X1,X0) | ~pp(X3) | ~sP452(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33074])).
% 59.37/10.02  tff(f72596,plain,(
% 59.37/10.02    spl2737_1657),
% 59.37/10.02    inference(avatar_split_clause,[],[f48224,f72594])).
% 59.37/10.02  tff(f72594,plain,(
% 59.37/10.02    spl2737_1657 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (sP442(X1,X0) | ~pp(X3) | ~sP443(X0,X1,X2,X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1657])])).
% 59.37/10.02  tff(f48224,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (sP442(X1,X0) | ~pp(X3) | ~sP443(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f33047])).
% 59.37/10.02  tff(f72592,plain,(
% 59.37/10.02    spl2737_1656),
% 59.37/10.02    inference(avatar_split_clause,[],[f48172,f72590])).
% 59.37/10.02  tff(f72590,plain,(
% 59.37/10.02    spl2737_1656 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(sK2238(X1),sK2239(X1)) = X1 | ~sP440(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1656])])).
% 59.37/10.02  tff(f48172,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(sK2238(X1),sK2239(X1)) = X1 | ~sP440(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32996])).
% 59.37/10.02  tff(f32996,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Leaf(sK2238(X1),sK2239(X1)) = X1) | ~sP440(X0,X1))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2238,sK2239])],[f32994,f32995])).
% 59.37/10.02  tff(f32995,plain,(
% 59.37/10.02    ! [X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X1 => vEBT_Leaf(sK2238(X1),sK2239(X1)) = X1)),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f32994,plain,(
% 59.37/10.02    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X1) | ~sP440(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f32993])).
% 59.37/10.02  tff(f32993,plain,(
% 59.37/10.02    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP440(X2,X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27744])).
% 59.37/10.02  tff(f27744,plain,(
% 59.37/10.02    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP440(X2,X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP440])])).
% 59.37/10.02  tff(f72588,plain,(
% 59.37/10.02    spl2737_1655),
% 59.37/10.02    inference(avatar_split_clause,[],[f48124,f72586])).
% 59.37/10.02  tff(f72586,plain,(
% 59.37/10.02    spl2737_1655 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (one_one(nat) = X0 | ~pp(X1) | ~sP425(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1655])])).
% 59.37/10.02  tff(f48124,plain,(
% 59.37/10.02    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (one_one(nat) = X0 | ~pp(X1) | ~sP425(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32945])).
% 59.37/10.02  tff(f72584,plain,(
% 59.37/10.02    spl2737_1654),
% 59.37/10.02    inference(avatar_split_clause,[],[f48108,f72582])).
% 59.37/10.02  tff(f72582,plain,(
% 59.37/10.02    spl2737_1654 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (one_one(nat) = X0 | ~pp(X1) | ~sP421(X0,X1,X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1654])])).
% 59.37/10.02  tff(f48108,plain,(
% 59.37/10.02    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (one_one(nat) = X0 | ~pp(X1) | ~sP421(X0,X1,X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32932])).
% 59.37/10.02  tff(f72580,plain,(
% 59.37/10.02    spl2737_1653),
% 59.37/10.02    inference(avatar_split_clause,[],[f48094,f72578])).
% 59.37/10.02  tff(f72578,plain,(
% 59.37/10.02    spl2737_1653 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (~sP414(X1,X0) | ~pp(X3) | ~sP415(X0,X1,X2,X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1653])])).
% 59.37/10.02  tff(f48094,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (~sP414(X1,X0) | ~pp(X3) | ~sP415(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32915])).
% 59.37/10.02  tff(f72576,plain,(
% 59.37/10.02    spl2737_1652),
% 59.37/10.02    inference(avatar_split_clause,[],[f48073,f72574])).
% 59.37/10.02  tff(f72574,plain,(
% 59.37/10.02    spl2737_1652 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : nat] : (sP408(X1,X0) | ~pp(X3) | ~sP409(X0,X1,X2,X3))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1652])])).
% 59.37/10.02  tff(f48073,plain,(
% 59.37/10.02    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : nat] : (sP408(X1,X0) | ~pp(X3) | ~sP409(X0,X1,X2,X3)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32899])).
% 59.37/10.02  tff(f72572,plain,(
% 59.37/10.02    spl2737_1651),
% 59.37/10.02    inference(avatar_split_clause,[],[f47990,f72570])).
% 59.37/10.02  tff(f72570,plain,(
% 59.37/10.02    spl2737_1651 <=> ! [X1 : $tType,X0 : $tType,X2 : $tType] : (sP401(X0,X2,X1) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1) | ~real_V822414075346904944vector(X2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1651])])).
% 59.37/10.02  tff(f47990,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : (sP401(X0,X2,X1) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1) | ~real_V822414075346904944vector(X2)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f27698])).
% 59.37/10.02  tff(f27698,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType,X2 : $tType] : (sP401(X0,X2,X1) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1) | ~real_V822414075346904944vector(X2))),
% 59.37/10.02    inference(definition_folding,[],[f26138,f27697,f27696])).
% 59.37/10.02  tff(f27696,plain,(
% 59.37/10.02    ! [X1 : $tType,X2 : $tType,X3 : fun(X2,fun(X1,X0)),X0 : $tType] : (sP400(X1,X2,X0,X3) <=> (? [X4 : real] : ! [X5 : X2,X6 : X1] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,aa(X1,X0,aa(X2,fun(X1,X0),X3,X5),X6))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,aa(real,fun(real,real),times_times(real),real_V7770717601297561774m_norm(X2,X5)),real_V7770717601297561774m_norm(X1,X6))),X4))) & ! [X7 : X2,X8 : real,X9 : X1] : real_V8093663219630862766scaleR(X0,X8,aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),X9)) = aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),real_V8093663219630862766scaleR(X1,X8,X9)) & ! [X10 : real,X11 : X2,X12 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,real_V8093663219630862766scaleR(X2,X10,X11)),X12) = real_V8093663219630862766scaleR(X0,X10,aa(X1,X0,aa(X2,fun(X1,X0),X3,X11),X12)) & ! [X13 : X2,X14 : X1,X15 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X14),X15)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X14)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X15)) & ! [X16 : X2,X17 : X2,X18 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),X16),X17)),X18) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X16),X18)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X17),X18))))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP400])])).
% 59.37/10.02  tff(f26138,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType,X2 : $tType] : (! [X3 : fun(X2,fun(X1,X0))] : (real_V2442710119149674383linear(X2,X1,X0,X3) <=> (? [X4 : real] : ! [X5 : X2,X6 : X1] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,aa(X1,X0,aa(X2,fun(X1,X0),X3,X5),X6))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,aa(real,fun(real,real),times_times(real),real_V7770717601297561774m_norm(X2,X5)),real_V7770717601297561774m_norm(X1,X6))),X4))) & ! [X7 : X2,X8 : real,X9 : X1] : real_V8093663219630862766scaleR(X0,X8,aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),X9)) = aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),real_V8093663219630862766scaleR(X1,X8,X9)) & ! [X10 : real,X11 : X2,X12 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,real_V8093663219630862766scaleR(X2,X10,X11)),X12) = real_V8093663219630862766scaleR(X0,X10,aa(X1,X0,aa(X2,fun(X1,X0),X3,X11),X12)) & ! [X13 : X2,X14 : X1,X15 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X14),X15)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X14)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X15)) & ! [X16 : X2,X17 : X2,X18 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),X16),X17)),X18) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X16),X18)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X17),X18)))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1) | ~real_V822414075346904944vector(X2))),
% 59.37/10.02    inference(flattening,[],[f26137])).
% 59.37/10.02  tff(f26137,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType,X2 : $tType] : (! [X3 : fun(X2,fun(X1,X0))] : (real_V2442710119149674383linear(X2,X1,X0,X3) <=> (? [X4 : real] : ! [X5 : X2,X6 : X1] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,aa(X1,X0,aa(X2,fun(X1,X0),X3,X5),X6))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,aa(real,fun(real,real),times_times(real),real_V7770717601297561774m_norm(X2,X5)),real_V7770717601297561774m_norm(X1,X6))),X4))) & ! [X7 : X2,X8 : real,X9 : X1] : real_V8093663219630862766scaleR(X0,X8,aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),X9)) = aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),real_V8093663219630862766scaleR(X1,X8,X9)) & ! [X10 : real,X11 : X2,X12 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,real_V8093663219630862766scaleR(X2,X10,X11)),X12) = real_V8093663219630862766scaleR(X0,X10,aa(X1,X0,aa(X2,fun(X1,X0),X3,X11),X12)) & ! [X13 : X2,X14 : X1,X15 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X14),X15)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X14)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X15)) & ! [X16 : X2,X17 : X2,X18 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),X16),X17)),X18) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X16),X18)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X17),X18)))) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1) | ~real_V822414075346904944vector(X2)))),
% 59.37/10.02    inference(ennf_transformation,[],[f17346])).
% 59.37/10.02  tff(f17346,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType,X2 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1) & real_V822414075346904944vector(X2)) => ! [X3 : fun(X2,fun(X1,X0))] : (real_V2442710119149674383linear(X2,X1,X0,X3) <=> (? [X4 : real] : ! [X5 : X2,X6 : X1] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X0,aa(X1,X0,aa(X2,fun(X1,X0),X3,X5),X6))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,aa(real,fun(real,real),times_times(real),real_V7770717601297561774m_norm(X2,X5)),real_V7770717601297561774m_norm(X1,X6))),X4))) & ! [X7 : X2,X8 : real,X9 : X1] : real_V8093663219630862766scaleR(X0,X8,aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),X9)) = aa(X1,X0,aa(X2,fun(X1,X0),X3,X7),real_V8093663219630862766scaleR(X1,X8,X9)) & ! [X10 : real,X11 : X2,X12 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,real_V8093663219630862766scaleR(X2,X10,X11)),X12) = real_V8093663219630862766scaleR(X0,X10,aa(X1,X0,aa(X2,fun(X1,X0),X3,X11),X12)) & ! [X13 : X2,X14 : X1,X15 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X14),X15)) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X14)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X13),X15)) & ! [X16 : X2,X17 : X2,X18 : X1] : aa(X1,X0,aa(X2,fun(X1,X0),X3,aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),X16),X17)),X18) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X1,X0,aa(X2,fun(X1,X0),X3,X16),X18)),aa(X1,X0,aa(X2,fun(X1,X0),X3,X17),X18)))))),
% 59.37/10.02    inference(rectify,[],[f7086])).
% 59.37/10.02  tff(f7086,axiom,(
% 59.37/10.02    ! [X2 : $tType,X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X2) & real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => ! [X323 : fun(X0,fun(X1,X2))] : (real_V2442710119149674383linear(X0,X1,X2,X323) <=> (? [X158 : real] : ! [X74 : X0,X75 : X1] : pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),real_V7770717601297561774m_norm(X2,aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),X75))),aa(real,real,aa(real,fun(real,real),times_times(real),aa(real,real,aa(real,fun(real,real),times_times(real),real_V7770717601297561774m_norm(X0,X74)),real_V7770717601297561774m_norm(X1,X75))),X158))) & ! [X74 : X0,X205 : real,X75 : X1] : real_V8093663219630862766scaleR(X2,X205,aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),X75)) = aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),real_V8093663219630862766scaleR(X1,X205,X75)) & ! [X205 : real,X74 : X0,X75 : X1] : aa(X1,X2,aa(X0,fun(X1,X2),X323,real_V8093663219630862766scaleR(X0,X205,X74)),X75) = real_V8093663219630862766scaleR(X2,X205,aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),X75)) & ! [X74 : X0,X75 : X1,X325 : X1] : aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),aa(X1,X1,aa(X1,fun(X1,X1),plus_plus(X1),X75),X325)) = aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),X75)),aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),X325)) & ! [X74 : X0,X324 : X0,X75 : X1] : aa(X1,X2,aa(X0,fun(X1,X2),X323,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X74),X324)),X75) = aa(X2,X2,aa(X2,fun(X2,X2),plus_plus(X2),aa(X1,X2,aa(X0,fun(X1,X2),X323,X74),X75)),aa(X1,X2,aa(X0,fun(X1,X2),X323,X324),X75)))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7085_bounded__bilinear__def)).
% 59.37/10.02  tff(f72568,plain,(
% 59.37/10.02    spl2737_1650 | ~spl2737_112 | ~spl2737_929),
% 59.37/10.02    inference(avatar_split_clause,[],[f69131,f68773,f64779,f72565])).
% 59.37/10.02  tff(f72565,plain,(
% 59.37/10.02    spl2737_1650 <=> sP122(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1650])])).
% 59.37/10.02  tff(f69131,plain,(
% 59.37/10.02    sP122(rat) | (~spl2737_112 | ~spl2737_929)),
% 59.37/10.02    inference(resolution,[],[f68774,f64781])).
% 59.37/10.02  tff(f72563,plain,(
% 59.37/10.02    spl2737_1649),
% 59.37/10.02    inference(avatar_split_clause,[],[f47307,f72561])).
% 59.37/10.02  tff(f72561,plain,(
% 59.37/10.02    spl2737_1649 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,X2)) | ~pp(fAll(X0,X1)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1649])])).
% 59.37/10.02  tff(f47307,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (pp(aa(X0,bool,X1,X2)) | ~pp(fAll(X0,X1))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f16951])).
% 59.37/10.02  tff(f16951,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,bool),X2 : X0] : (pp(aa(X0,bool,X1,X2)) | ~pp(fAll(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f9875])).
% 59.37/10.02  tff(f9875,axiom,(
% 59.37/10.02    ! [X0 : $tType,X17 : fun(X0,bool),X14 : X0] : (pp(aa(X0,bool,X17,X14)) | ~pp(fAll(X0,X17)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fAll_1_1_U)).
% 59.37/10.02  tff(f72559,plain,(
% 59.37/10.02    spl2737_1648),
% 59.37/10.02    inference(avatar_split_clause,[],[f46404,f72557])).
% 59.37/10.02  tff(f72557,plain,(
% 59.37/10.02    spl2737_1648 <=> ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 | ~sP354(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1648])])).
% 59.37/10.02  tff(f46404,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 | ~sP354(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32053])).
% 59.37/10.02  tff(f32053,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : int] : ((aa(int,nat,nat2,X1) = X0 | ~sP354(X0,X1)) & (sP354(X0,X1) | aa(int,nat,nat2,X1) != X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27621])).
% 59.37/10.02  tff(f27621,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 <=> sP354(X0,X1))),
% 59.37/10.02    inference(definition_folding,[],[f25524,f27620])).
% 59.37/10.02  tff(f25524,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 <=> ((zero_zero(nat) = X0 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) & (aa(nat,int,semiring_1_of_nat(int),X0) = X1 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))))),
% 59.37/10.02    inference(ennf_transformation,[],[f16475])).
% 59.37/10.02  tff(f16475,plain,(
% 59.37/10.02    ! [X0 : nat,X1 : int] : (aa(int,nat,nat2,X1) = X0 <=> ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) => zero_zero(nat) = X0) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) => aa(nat,int,semiring_1_of_nat(int),X0) = X1)))),
% 59.37/10.02    inference(rectify,[],[f744])).
% 59.37/10.02  tff(f744,axiom,(
% 59.37/10.02    ! [X9 : nat,X61 : int] : (aa(int,nat,nat2,X61) = X9 <=> ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X61)) => zero_zero(nat) = X9) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X61)) => aa(nat,int,semiring_1_of_nat(int),X9) = X61)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_743_nat__eq__iff2)).
% 59.37/10.02  tff(f72555,plain,(
% 59.37/10.02    spl2737_1647),
% 59.37/10.02    inference(avatar_split_clause,[],[f46396,f72553])).
% 59.37/10.02  tff(f72553,plain,(
% 59.37/10.02    spl2737_1647 <=> ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 | ~sP353(X1,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1647])])).
% 59.37/10.02  tff(f46396,plain,(
% 59.37/10.02    ( ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 | ~sP353(X1,X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32050])).
% 59.37/10.02  tff(f32050,plain,(
% 59.37/10.02    ! [X0 : int,X1 : nat] : ((aa(int,nat,nat2,X0) = X1 | ~sP353(X1,X0)) & (sP353(X1,X0) | aa(int,nat,nat2,X0) != X1))),
% 59.37/10.02    inference(nnf_transformation,[],[f27619])).
% 59.37/10.02  tff(f27619,plain,(
% 59.37/10.02    ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 <=> sP353(X1,X0))),
% 59.37/10.02    inference(definition_folding,[],[f25523,f27618])).
% 59.37/10.02  tff(f25523,plain,(
% 59.37/10.02    ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 <=> ((zero_zero(nat) = X1 | pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & (aa(nat,int,semiring_1_of_nat(int),X1) = X0 | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)))))),
% 59.37/10.02    inference(ennf_transformation,[],[f16474])).
% 59.37/10.02  tff(f16474,plain,(
% 59.37/10.02    ! [X0 : int,X1 : nat] : (aa(int,nat,nat2,X0) = X1 <=> ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) => zero_zero(nat) = X1) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) => aa(nat,int,semiring_1_of_nat(int),X1) = X0)))),
% 59.37/10.02    inference(rectify,[],[f743])).
% 59.37/10.02  tff(f743,axiom,(
% 59.37/10.02    ! [X61 : int,X9 : nat] : (aa(int,nat,nat2,X61) = X9 <=> ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X61)) => zero_zero(nat) = X9) & (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X61)) => aa(nat,int,semiring_1_of_nat(int),X9) = X61)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_742_nat__eq__iff)).
% 59.37/10.02  tff(f72551,plain,(
% 59.37/10.02    spl2737_1646),
% 59.37/10.02    inference(avatar_split_clause,[],[f46376,f72549])).
% 59.37/10.02  tff(f72549,plain,(
% 59.37/10.02    spl2737_1646 <=> ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) | ~sP352(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1646])])).
% 59.37/10.02  tff(f46376,plain,(
% 59.37/10.02    ( ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) | ~sP352(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32034])).
% 59.37/10.02  tff(f32034,plain,(
% 59.37/10.02    ! [X0 : int,X1 : int] : ((zero_zero(int) = divide_divide(int,X0,X1) | ~sP352(X0,X1)) & (sP352(X0,X1) | zero_zero(int) != divide_divide(int,X0,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27617])).
% 59.37/10.02  tff(f27617,plain,(
% 59.37/10.02    ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) <=> sP352(X0,X1))),
% 59.37/10.02    inference(definition_folding,[],[f16469,f27616])).
% 59.37/10.02  tff(f27616,plain,(
% 59.37/10.02    ! [X0 : int,X1 : int] : (sP352(X0,X1) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP352])])).
% 59.37/10.02  tff(f16469,plain,(
% 59.37/10.02    ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X0,X1) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 59.37/10.02    inference(rectify,[],[f1255])).
% 59.37/10.02  tff(f1255,axiom,(
% 59.37/10.02    ! [X23 : int,X18 : int] : (zero_zero(int) = divide_divide(int,X23,X18) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),X23)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X23),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X23),X18)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X23))) | zero_zero(int) = X18))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1254_zdiv__eq__0__iff)).
% 59.37/10.02  tff(f72547,plain,(
% 59.37/10.02    spl2737_1645),
% 59.37/10.02    inference(avatar_split_clause,[],[f46375,f72545])).
% 59.37/10.02  tff(f72545,plain,(
% 59.37/10.02    spl2737_1645 <=> ! [X0 : int,X1 : int] : (sP352(X0,X1) | zero_zero(int) != divide_divide(int,X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1645])])).
% 59.37/10.02  tff(f46375,plain,(
% 59.37/10.02    ( ! [X0 : int,X1 : int] : (sP352(X0,X1) | zero_zero(int) != divide_divide(int,X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32034])).
% 59.37/10.02  tff(f72543,plain,(
% 59.37/10.02    spl2737_1644),
% 59.37/10.02    inference(avatar_split_clause,[],[f46339,f72541])).
% 59.37/10.02  tff(f72541,plain,(
% 59.37/10.02    spl2737_1644 <=> ! [X0 : real,X1 : real] : (zero_zero(real) = X1 | one_one(complex) != complex2(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1644])])).
% 59.37/10.02  tff(f46339,plain,(
% 59.37/10.02    ( ! [X0 : real,X1 : real] : (zero_zero(real) = X1 | one_one(complex) != complex2(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f32015])).
% 59.37/10.02  tff(f72539,plain,(
% 59.37/10.02    spl2737_1643),
% 59.37/10.02    inference(avatar_split_clause,[],[f46264,f72537])).
% 59.37/10.02  tff(f72537,plain,(
% 59.37/10.02    spl2737_1643 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1928(X0,X1),sK1927(X0,X1)) | ~sP344(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1643])])).
% 59.37/10.02  tff(f46264,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1928(X0,X1),sK1927(X0,X1)) | ~sP344(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31947])).
% 59.37/10.02  tff(f72535,plain,(
% 59.37/10.02    spl2737_1642),
% 59.37/10.02    inference(avatar_split_clause,[],[f46241,f72533])).
% 59.37/10.02  tff(f72533,plain,(
% 59.37/10.02    spl2737_1642 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1912(X0,X1),sK1911(X0,X1)) | ~sP346(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1642])])).
% 59.37/10.02  tff(f46241,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1912(X0,X1),sK1911(X0,X1)) | ~sP346(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31931])).
% 59.37/10.02  tff(f72531,plain,(
% 59.37/10.02    spl2737_1641),
% 59.37/10.02    inference(avatar_split_clause,[],[f46216,f72529])).
% 59.37/10.02  tff(f72529,plain,(
% 59.37/10.02    spl2737_1641 <=> ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | sK1896(X0,X1) != sK1897(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1641])])).
% 59.37/10.02  tff(f46216,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | sK1896(X0,X1) != sK1897(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31912])).
% 59.37/10.02  tff(f31912,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,X1) | ((aa(nat,X0,nth(X0,X1),sK1896(X0,X1)) = aa(nat,X0,nth(X0,X1),sK1897(X0,X1)) & sK1896(X0,X1) != sK1897(X0,X1) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1897(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1896(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1))))) & (! [X4 : nat] : (! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X4) != aa(nat,X0,nth(X0,X1),X5) | X4 = X5 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~distinct(X0,X1)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1896,sK1897])],[f31909,f31911,f31910])).
% 59.37/10.02  tff(f31910,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : (? [X2 : nat] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) = aa(nat,X0,nth(X0,X1),X3) & X2 != X3 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) => (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X3) = aa(nat,X0,nth(X0,X1),sK1896(X0,X1)) & sK1896(X0,X1) != X3 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1896(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31911,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X3) = aa(nat,X0,nth(X0,X1),sK1896(X0,X1)) & sK1896(X0,X1) != X3 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) => (aa(nat,X0,nth(X0,X1),sK1896(X0,X1)) = aa(nat,X0,nth(X0,X1),sK1897(X0,X1)) & sK1896(X0,X1) != sK1897(X0,X1) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1897(X0,X1)),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f31909,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,X1) | ? [X2 : nat] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) = aa(nat,X0,nth(X0,X1),X3) & X2 != X3 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))))) & (! [X4 : nat] : (! [X5 : nat] : (aa(nat,X0,nth(X0,X1),X4) != aa(nat,X0,nth(X0,X1),X5) | X4 = X5 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~distinct(X0,X1)))),
% 59.37/10.02    inference(rectify,[],[f31908])).
% 59.37/10.02  tff(f31908,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,X1) | ? [X2 : nat] : (? [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) = aa(nat,X0,nth(X0,X1),X3) & X2 != X3 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))))) & (! [X2 : nat] : (! [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3) | X2 = X3 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~distinct(X0,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f25516])).
% 59.37/10.02  tff(f25516,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) <=> ! [X2 : nat] : (! [X3 : nat] : (aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3) | X2 = X3 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 59.37/10.02    inference(flattening,[],[f25515])).
% 59.37/10.02  tff(f25515,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) <=> ! [X2 : nat] : (! [X3 : nat] : ((aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3) | X2 = X3) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1)))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1)))))),
% 59.37/10.02    inference(ennf_transformation,[],[f16451])).
% 59.37/10.02  tff(f16451,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) <=> ! [X2 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),aa(list(X0),nat,size_size(list(X0)),X1))) => ! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X1))) => (X2 != X3 => aa(nat,X0,nth(X0,X1),X2) != aa(nat,X0,nth(X0,X1),X3)))))),
% 59.37/10.02    inference(rectify,[],[f4058])).
% 59.37/10.02  tff(f4058,axiom,(
% 59.37/10.02    ! [X0 : $tType,X123 : list(X0)] : (distinct(X0,X123) <=> ! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(list(X0),nat,size_size(list(X0)),X123))) => ! [X35 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X35),aa(list(X0),nat,size_size(list(X0)),X123))) => (X29 != X35 => aa(nat,X0,nth(X0,X123),X29) != aa(nat,X0,nth(X0,X123),X35)))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4057_distinct__conv__nth)).
% 59.37/10.02  tff(f72527,plain,(
% 59.37/10.02    spl2737_1640),
% 59.37/10.02    inference(avatar_split_clause,[],[f46124,f72525])).
% 59.37/10.02  tff(f72525,plain,(
% 59.37/10.02    spl2737_1640 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK1844(X0,X1)) = X1 | ~sP327(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1640])])).
% 59.37/10.02  tff(f46124,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK1844(X0,X1)) = X1 | ~sP327(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31810])).
% 59.37/10.02  tff(f72523,plain,(
% 59.37/10.02    spl2737_1639 | ~spl2737_111 | ~spl2737_929),
% 59.37/10.02    inference(avatar_split_clause,[],[f69130,f68773,f64774,f72520])).
% 59.37/10.02  tff(f72520,plain,(
% 59.37/10.02    spl2737_1639 <=> sP122(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1639])])).
% 59.37/10.02  tff(f69130,plain,(
% 59.37/10.02    sP122(complex) | (~spl2737_111 | ~spl2737_929)),
% 59.37/10.02    inference(resolution,[],[f68774,f64776])).
% 59.37/10.02  tff(f72518,plain,(
% 59.37/10.02    spl2737_1638),
% 59.37/10.02    inference(avatar_split_clause,[],[f46121,f72516])).
% 59.37/10.02  tff(f72516,plain,(
% 59.37/10.02    spl2737_1638 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1843(X0,X1),fTrue) = X1 | ~sP328(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1638])])).
% 59.37/10.02  tff(f46121,plain,(
% 59.37/10.02    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1843(X0,X1),fTrue) = X1 | ~sP328(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31806])).
% 59.37/10.02  tff(f72514,plain,(
% 59.37/10.02    spl2737_1637),
% 59.37/10.02    inference(avatar_split_clause,[],[f45840,f72512])).
% 59.37/10.02  tff(f72512,plain,(
% 59.37/10.02    spl2737_1637 <=> ! [X1 : $tType,X0 : $tType] : (real_V3181309239436604168linear(X1,X0,aTP_Lamp_rl(X1,X0)) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1637])])).
% 59.37/10.02  tff(f45840,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType] : (real_V3181309239436604168linear(X1,X0,aTP_Lamp_rl(X1,X0)) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f25161])).
% 59.37/10.02  tff(f25161,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (real_V3181309239436604168linear(X1,X0,aTP_Lamp_rl(X1,X0)) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.02    inference(flattening,[],[f25160])).
% 59.37/10.02  tff(f25160,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (real_V3181309239436604168linear(X1,X0,aTP_Lamp_rl(X1,X0)) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 59.37/10.02    inference(ennf_transformation,[],[f16252])).
% 59.37/10.02  tff(f16252,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => real_V3181309239436604168linear(X1,X0,aTP_Lamp_rl(X1,X0)))),
% 59.37/10.02    inference(rectify,[],[f5995])).
% 59.37/10.02  tff(f5995,axiom,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => real_V3181309239436604168linear(X0,X1,aTP_Lamp_rl(X0,X1)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5994_bounded__linear__zero)).
% 59.37/10.02  tff(f72510,plain,(
% 59.37/10.02    spl2737_1636),
% 59.37/10.02    inference(avatar_split_clause,[],[f45750,f72508])).
% 59.37/10.02  tff(f72508,plain,(
% 59.37/10.02    spl2737_1636 <=> ! [X1 : $tType,X0 : $tType] : (real_Vector_linear(X1,X0,aTP_Lamp_aey(X1,X0)) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1636])])).
% 59.37/10.02  tff(f45750,plain,(
% 59.37/10.02    ( ! [X1 : $tType,X0 : $tType] : (real_Vector_linear(X1,X0,aTP_Lamp_aey(X1,X0)) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f25017])).
% 59.37/10.02  tff(f25017,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (real_Vector_linear(X1,X0,aTP_Lamp_aey(X1,X0)) | ~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1))),
% 59.37/10.02    inference(flattening,[],[f25016])).
% 59.37/10.02  tff(f25016,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : (real_Vector_linear(X1,X0,aTP_Lamp_aey(X1,X0)) | (~real_V4867850818363320053vector(X0) | ~real_V4867850818363320053vector(X1)))),
% 59.37/10.02    inference(ennf_transformation,[],[f16180])).
% 59.37/10.02  tff(f16180,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : $tType] : ((real_V4867850818363320053vector(X0) & real_V4867850818363320053vector(X1)) => real_Vector_linear(X1,X0,aTP_Lamp_aey(X1,X0)))),
% 59.37/10.02    inference(rectify,[],[f7332])).
% 59.37/10.02  tff(f7332,axiom,(
% 59.37/10.02    ! [X1 : $tType,X0 : $tType] : ((real_V4867850818363320053vector(X1) & real_V4867850818363320053vector(X0)) => real_Vector_linear(X0,X1,aTP_Lamp_aey(X0,X1)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7331_module__hom__zero)).
% 59.37/10.02  tff(f72506,plain,(
% 59.37/10.02    spl2737_1635),
% 59.37/10.02    inference(avatar_split_clause,[],[f45006,f72504])).
% 59.37/10.02  tff(f72504,plain,(
% 59.37/10.02    spl2737_1635 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1601(X0,X1) = sK1603(X0,X1) | ~sP286(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1635])])).
% 59.37/10.02  tff(f45006,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1601(X0,X1) = sK1603(X0,X1) | ~sP286(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31278])).
% 59.37/10.02  tff(f72502,plain,(
% 59.37/10.02    spl2737_1634),
% 59.37/10.02    inference(avatar_split_clause,[],[f45004,f72500])).
% 59.37/10.02  tff(f72500,plain,(
% 59.37/10.02    spl2737_1634 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1602(X0,X1),sK1603(X0,X1)) | ~sP286(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1634])])).
% 59.37/10.02  tff(f45004,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1602(X0,X1),sK1603(X0,X1)) | ~sP286(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31278])).
% 59.37/10.02  tff(f72498,plain,(
% 59.37/10.02    spl2737_1633),
% 59.37/10.02    inference(avatar_split_clause,[],[f44995,f72496])).
% 59.37/10.02  tff(f72496,plain,(
% 59.37/10.02    spl2737_1633 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1597(X0,X1),sK1598(X0,X1)) | ~sP287(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1633])])).
% 59.37/10.02  tff(f44995,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1597(X0,X1),sK1598(X0,X1)) | ~sP287(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31274])).
% 59.37/10.02  tff(f72494,plain,(
% 59.37/10.02    spl2737_1632),
% 59.37/10.02    inference(avatar_split_clause,[],[f44985,f72492])).
% 59.37/10.02  tff(f72492,plain,(
% 59.37/10.02    spl2737_1632 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1589(X0,X1) = sK1591(X0,X1) | ~sP288(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1632])])).
% 59.37/10.02  tff(f44985,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1589(X0,X1) = sK1591(X0,X1) | ~sP288(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31270])).
% 59.37/10.02  tff(f72490,plain,(
% 59.37/10.02    spl2737_1631),
% 59.37/10.02    inference(avatar_split_clause,[],[f44983,f72488])).
% 59.37/10.02  tff(f72488,plain,(
% 59.37/10.02    spl2737_1631 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1590(X0,X1),sK1591(X0,X1)) | ~sP288(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1631])])).
% 59.37/10.02  tff(f44983,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1590(X0,X1),sK1591(X0,X1)) | ~sP288(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31270])).
% 59.37/10.02  tff(f72486,plain,(
% 59.37/10.02    spl2737_1630),
% 59.37/10.02    inference(avatar_split_clause,[],[f44971,f72484])).
% 59.37/10.02  tff(f72484,plain,(
% 59.37/10.02    spl2737_1630 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1583(X0,X1),sK1584(X0,X1)) | ~sP289(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1630])])).
% 59.37/10.02  tff(f44971,plain,(
% 59.37/10.02    ( ! [X0 : nat,X1 : vEBT_VEBT] : (vEBT_invar_vebt(sK1583(X0,X1),sK1584(X0,X1)) | ~sP289(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31266])).
% 59.37/10.02  tff(f72482,plain,(
% 59.37/10.02    spl2737_1629),
% 59.37/10.02    inference(avatar_split_clause,[],[f44942,f72480])).
% 59.37/10.02  tff(f72480,plain,(
% 59.37/10.02    spl2737_1629 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP277(X1,X0) | one_one(nat) = X1 | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1629])])).
% 59.37/10.02  tff(f44942,plain,(
% 59.37/10.02    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP277(X1,X0) | one_one(nat) = X1 | ~vEBT_VEBT_valid(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31237])).
% 59.37/10.02  tff(f72478,plain,(
% 59.37/10.02    spl2737_1628),
% 59.37/10.02    inference(avatar_split_clause,[],[f44899,f72476])).
% 59.37/10.02  tff(f72476,plain,(
% 59.37/10.02    spl2737_1628 <=> ! [X0 : $tType,X1 : fun(X0,X0)] : (inj_on(X0,X0,X1,top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1628])])).
% 59.37/10.02  tff(f44899,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : fun(X0,X0)] : (inj_on(X0,X0,X1,top_top(set(X0))) | ~hilbert_bijection(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f24333])).
% 59.37/10.02  tff(f24333,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,X0)] : (inj_on(X0,X0,X1,top_top(set(X0))) | ~hilbert_bijection(X0,X1))),
% 59.37/10.02    inference(ennf_transformation,[],[f15703])).
% 59.37/10.02  tff(f15703,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : fun(X0,X0)] : (hilbert_bijection(X0,X1) => inj_on(X0,X0,X1,top_top(set(X0))))),
% 59.37/10.02    inference(rectify,[],[f7463])).
% 59.37/10.02  tff(f7463,axiom,(
% 59.37/10.02    ! [X0 : $tType,X32 : fun(X0,X0)] : (hilbert_bijection(X0,X32) => inj_on(X0,X0,X32,top_top(set(X0))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7462_bijection_Oinj)).
% 59.37/10.02  tff(f72474,plain,(
% 59.37/10.02    spl2737_1627),
% 59.37/10.02    inference(avatar_split_clause,[],[f43541,f72472])).
% 59.37/10.02  tff(f72472,plain,(
% 59.37/10.02    spl2737_1627 <=> ! [X0 : $tType,X1 : X0] : fChoice(X0,aTP_Lamp_hg(X0,fun(X0,bool),X1)) = X1),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1627])])).
% 59.37/10.02  tff(f43541,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (fChoice(X0,aTP_Lamp_hg(X0,fun(X0,bool),X1)) = X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14724])).
% 59.37/10.02  tff(f14724,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : X0] : fChoice(X0,aTP_Lamp_hg(X0,fun(X0,bool),X1)) = X1),
% 59.37/10.02    inference(rectify,[],[f4025])).
% 59.37/10.02  tff(f4025,axiom,(
% 59.37/10.02    ! [X0 : $tType,X14 : X0] : fChoice(X0,aTP_Lamp_hg(X0,fun(X0,bool),X14)) = X14),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4024_some__eq__trivial)).
% 59.37/10.02  tff(f72470,plain,(
% 59.37/10.02    spl2737_1626),
% 59.37/10.02    inference(avatar_split_clause,[],[f43536,f72468])).
% 59.37/10.02  tff(f72468,plain,(
% 59.37/10.02    spl2737_1626 <=> ! [X0 : $tType,X1 : X0] : one_one(nat) = aa(X0,nat,aTP_Lamp_dm(X0,nat),X1)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1626])])).
% 59.37/10.02  tff(f43536,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(nat) = aa(X0,nat,aTP_Lamp_dm(X0,nat),X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f14719])).
% 59.37/10.02  tff(f14719,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : X0] : one_one(nat) = aa(X0,nat,aTP_Lamp_dm(X0,nat),X1)),
% 59.37/10.02    inference(rectify,[],[f8974])).
% 59.37/10.02  tff(f8974,axiom,(
% 59.37/10.02    ! [X0 : $tType,X94 : X0] : one_one(nat) = aa(X0,nat,aTP_Lamp_dm(X0,nat),X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8973_ATP_Olambda__858)).
% 59.37/10.02  tff(f72466,plain,(
% 59.37/10.02    spl2737_1625),
% 59.37/10.02    inference(avatar_split_clause,[],[f43262,f72464])).
% 59.37/10.02  tff(f72464,plain,(
% 59.37/10.02    spl2737_1625 <=> ! [X0 : rat] : (zero_zero(rat) = X0 | algebr8660921524188924756oprime(int,sK1166(X0),sK1167(X0)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1625])])).
% 59.37/10.02  tff(f43262,plain,(
% 59.37/10.02    ( ! [X0 : rat] : (zero_zero(rat) = X0 | algebr8660921524188924756oprime(int,sK1166(X0),sK1167(X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30501])).
% 59.37/10.02  tff(f30501,plain,(
% 59.37/10.02    ! [X0 : rat] : (zero_zero(rat) = X0 | (algebr8660921524188924756oprime(int,sK1166(X0),sK1167(X0)) & zero_zero(int) != sK1166(X0) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1167(X0))) & aa(int,rat,aa(int,fun(int,rat),fract,sK1166(X0)),sK1167(X0)) = X0))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1166,sK1167])],[f23709,f30500])).
% 59.37/10.02  tff(f30500,plain,(
% 59.37/10.02    ! [X0 : rat] : (? [X1 : int,X2 : int] : (algebr8660921524188924756oprime(int,X1,X2) & zero_zero(int) != X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) & aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0) => (algebr8660921524188924756oprime(int,sK1166(X0),sK1167(X0)) & zero_zero(int) != sK1166(X0) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),sK1167(X0))) & aa(int,rat,aa(int,fun(int,rat),fract,sK1166(X0)),sK1167(X0)) = X0))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f23709,plain,(
% 59.37/10.02    ! [X0 : rat] : (zero_zero(rat) = X0 | ? [X1 : int,X2 : int] : (algebr8660921524188924756oprime(int,X1,X2) & zero_zero(int) != X1 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) & aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0))),
% 59.37/10.02    inference(flattening,[],[f23708])).
% 59.37/10.02  tff(f23708,plain,(
% 59.37/10.02    ! [X0 : rat] : (zero_zero(rat) = X0 | ? [X1 : int,X2 : int] : (((algebr8660921524188924756oprime(int,X1,X2) & zero_zero(int) != X1) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))) & aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f14588])).
% 59.37/10.02  tff(f14588,plain,(
% 59.37/10.02    ! [X0 : rat] : (! [X1 : int,X2 : int] : (aa(int,rat,aa(int,fun(int,rat),fract,X1),X2) = X0 => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)) => (zero_zero(int) != X1 => ~algebr8660921524188924756oprime(int,X1,X2)))) => zero_zero(rat) = X0)),
% 59.37/10.02    inference(rectify,[],[f6847])).
% 59.37/10.02  tff(f6847,axiom,(
% 59.37/10.02    ! [X134 : rat] : (! [X58 : int,X59 : int] : (aa(int,rat,aa(int,fun(int,rat),fract,X58),X59) = X134 => (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),zero_zero(int)),X59)) => (zero_zero(int) != X58 => ~algebr8660921524188924756oprime(int,X58,X59)))) => zero_zero(rat) = X134)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6846_Rat__cases__nonzero)).
% 59.37/10.02  tff(f72462,plain,(
% 59.37/10.02    spl2737_1624),
% 59.37/10.02    inference(avatar_split_clause,[],[f43161,f72460])).
% 59.37/10.02  tff(f72460,plain,(
% 59.37/10.02    spl2737_1624 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != semiring_char_0_fact(X0,X1) | ~semiri3467727345109120633visors(X0) | ~semiring_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1624])])).
% 59.37/10.02  tff(f43161,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) != semiring_char_0_fact(X0,X1) | ~semiri3467727345109120633visors(X0) | ~semiring_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23595])).
% 59.37/10.02  tff(f23595,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) != semiring_char_0_fact(X0,X1) | ~semiri3467727345109120633visors(X0) | ~semiring_char_0(X0))),
% 59.37/10.02    inference(flattening,[],[f23594])).
% 59.37/10.02  tff(f23594,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) != semiring_char_0_fact(X0,X1) | (~semiri3467727345109120633visors(X0) | ~semiring_char_0(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14532])).
% 59.37/10.02  tff(f14532,plain,(
% 59.37/10.02    ! [X0 : $tType] : ((semiri3467727345109120633visors(X0) & semiring_char_0(X0)) => ! [X1 : nat] : zero_zero(X0) != semiring_char_0_fact(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f1689])).
% 59.37/10.02  tff(f1689,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((semiri3467727345109120633visors(X0) & semiring_char_0(X0)) => ! [X8 : nat] : zero_zero(X0) != semiring_char_0_fact(X0,X8))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1688_fact__nonzero)).
% 59.37/10.02  tff(f72458,plain,(
% 59.37/10.02    spl2737_1623),
% 59.37/10.02    inference(avatar_split_clause,[],[f42819,f72456])).
% 59.37/10.02  tff(f72456,plain,(
% 59.37/10.02    spl2737_1623 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != exp(X0,X1) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1623])])).
% 59.37/10.02  tff(f42819,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != exp(X0,X1) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f23047])).
% 59.37/10.02  tff(f23047,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) != exp(X0,X1) | ~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0))),
% 59.37/10.02    inference(flattening,[],[f23046])).
% 59.37/10.02  tff(f23046,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) != exp(X0,X1) | (~real_V2822296259951069270ebra_1(X0) | ~real_Vector_banach(X0)))),
% 59.37/10.02    inference(ennf_transformation,[],[f14264])).
% 59.37/10.02  tff(f14264,plain,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X1 : X0] : zero_zero(X0) != exp(X0,X1))),
% 59.37/10.02    inference(rectify,[],[f1688])).
% 59.37/10.02  tff(f1688,axiom,(
% 59.37/10.02    ! [X0 : $tType] : ((real_V2822296259951069270ebra_1(X0) & real_Vector_banach(X0)) => ! [X14 : X0] : zero_zero(X0) != exp(X0,X14))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1687_exp__not__eq__zero)).
% 59.37/10.02  tff(f72454,plain,(
% 59.37/10.02    spl2737_1622),
% 59.37/10.02    inference(avatar_split_clause,[],[f42376,f72452])).
% 59.37/10.02  tff(f72452,plain,(
% 59.37/10.02    spl2737_1622 <=> ! [X3 : $tType,X0 : list(X3),X2 : fun(list(X3),fun(list(X3),bool)),X1 : list(X3)] : (sP231(X3,X0,X1,X2) | ~sP229(X3,X2,X1,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1622])])).
% 59.37/10.02  tff(f42376,plain,(
% 59.37/10.02    ( ! [X3 : $tType,X2 : fun(list(X3),fun(list(X3),bool)),X0 : list(X3),X1 : list(X3)] : (sP231(X3,X0,X1,X2) | ~sP229(X3,X2,X1,X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30129])).
% 59.37/10.02  tff(f30129,plain,(
% 59.37/10.02    ! [X0 : list(X3),X1 : list(X3),X2 : fun(list(X3),fun(list(X3),bool)),X3 : $tType] : ((sP231(X3,X0,X1,X2) | (~sP229(X3,X2,X1,X0) & ~sP230(X3,X1,X0) & ! [X4 : X3,X5 : list(X3)] : (cons(X3,X4,X5) != X1 | nil(X3) != X0))) & (sP229(X3,X2,X1,X0) | sP230(X3,X1,X0) | (cons(X3,sK1002(X3,X0,X1),sK1003(X3,X0,X1)) = X1 & nil(X3) = X0) | ~sP231(X3,X0,X1,X2)))),
% 59.37/10.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1002,sK1003])],[f30127,f30128])).
% 59.37/10.02  tff(f30128,plain,(
% 59.37/10.02    ! [X3 : $tType,X0 : list(X3),X1 : list(X3)] : (? [X6 : X3,X7 : list(X3)] : (cons(X3,X6,X7) = X1 & nil(X3) = X0) => (cons(X3,sK1002(X3,X0,X1),sK1003(X3,X0,X1)) = X1 & nil(X3) = X0))),
% 59.37/10.02    introduced(choice_axiom,[])).
% 59.37/10.02  tff(f30127,plain,(
% 59.37/10.02    ! [X0 : list(X3),X1 : list(X3),X2 : fun(list(X3),fun(list(X3),bool)),X3 : $tType] : ((sP231(X3,X0,X1,X2) | (~sP229(X3,X2,X1,X0) & ~sP230(X3,X1,X0) & ! [X4 : X3,X5 : list(X3)] : (cons(X3,X4,X5) != X1 | nil(X3) != X0))) & (sP229(X3,X2,X1,X0) | sP230(X3,X1,X0) | ? [X6 : X3,X7 : list(X3)] : (cons(X3,X6,X7) = X1 & nil(X3) = X0) | ~sP231(X3,X0,X1,X2)))),
% 59.37/10.02    inference(rectify,[],[f30126])).
% 59.37/10.02  tff(f30126,plain,(
% 59.37/10.02    ! [X2 : list(X0),X3 : list(X0),X1 : fun(list(X0),fun(list(X0),bool)),X0 : $tType] : ((sP231(X0,X2,X3,X1) | (~sP229(X0,X1,X3,X2) & ~sP230(X0,X3,X2) & ! [X12 : X0,X13 : list(X0)] : (cons(X0,X12,X13) != X3 | nil(X0) != X2))) & (sP229(X0,X1,X3,X2) | sP230(X0,X3,X2) | ? [X12 : X0,X13 : list(X0)] : (cons(X0,X12,X13) = X3 & nil(X0) = X2) | ~sP231(X0,X2,X3,X1)))),
% 59.37/10.02    inference(flattening,[],[f30125])).
% 59.37/10.02  tff(f30125,plain,(
% 59.37/10.02    ! [X2 : list(X0),X3 : list(X0),X1 : fun(list(X0),fun(list(X0),bool)),X0 : $tType] : ((sP231(X0,X2,X3,X1) | (~sP229(X0,X1,X3,X2) & ~sP230(X0,X3,X2) & ! [X12 : X0,X13 : list(X0)] : (cons(X0,X12,X13) != X3 | nil(X0) != X2))) & ((sP229(X0,X1,X3,X2) | sP230(X0,X3,X2) | ? [X12 : X0,X13 : list(X0)] : (cons(X0,X12,X13) = X3 & nil(X0) = X2)) | ~sP231(X0,X2,X3,X1)))),
% 59.37/10.02    inference(nnf_transformation,[],[f27433])).
% 59.37/10.02  tff(f27433,plain,(
% 59.37/10.02    ! [X2 : list(X0),X3 : list(X0),X1 : fun(list(X0),fun(list(X0),bool)),X0 : $tType] : (sP231(X0,X2,X3,X1) <=> (sP229(X0,X1,X3,X2) | sP230(X0,X3,X2) | ? [X12 : X0,X13 : list(X0)] : (cons(X0,X12,X13) = X3 & nil(X0) = X2)))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP231])])).
% 59.37/10.02  tff(f72450,plain,(
% 59.37/10.02    spl2737_1621),
% 59.37/10.02    inference(avatar_split_clause,[],[f42315,f72448])).
% 59.37/10.02  tff(f72448,plain,(
% 59.37/10.02    spl2737_1621 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (ord_lexordp_eq(X0,X1,X2) | ~sP223(X0,X1,X2) | ~sP224(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1621])])).
% 59.37/10.02  tff(f42315,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (ord_lexordp_eq(X0,X1,X2) | ~sP223(X0,X1,X2) | ~sP224(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30083])).
% 59.37/10.02  tff(f30083,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : ((ord_lexordp_eq(X0,X1,X2) | ~sP223(X0,X1,X2)) & (sP223(X0,X1,X2) | ~ord_lexordp_eq(X0,X1,X2))) | ~sP224(X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f27424])).
% 59.37/10.02  tff(f27424,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (ord_lexordp_eq(X0,X1,X2) <=> sP223(X0,X1,X2)) | ~sP224(X0))),
% 59.37/10.02    introduced(predicate_definition_introduction,[new_symbols(naming,[sP224])])).
% 59.37/10.02  tff(f72446,plain,(
% 59.37/10.02    spl2737_1620),
% 59.37/10.02    inference(avatar_split_clause,[],[f42314,f72444])).
% 59.37/10.02  tff(f72444,plain,(
% 59.37/10.02    spl2737_1620 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP223(X0,X1,X2) | ~ord_lexordp_eq(X0,X1,X2) | ~sP224(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1620])])).
% 59.37/10.02  tff(f42314,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP223(X0,X1,X2) | ~ord_lexordp_eq(X0,X1,X2) | ~sP224(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f30083])).
% 59.37/10.02  tff(f72442,plain,(
% 59.37/10.02    spl2737_1619),
% 59.37/10.02    inference(avatar_split_clause,[],[f41936,f72440])).
% 59.37/10.02  tff(f72440,plain,(
% 59.37/10.02    spl2737_1619 <=> ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1619])])).
% 59.37/10.02  tff(f41936,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,X1) | ~sorted_wrt(X0,ord_less(X0),X1) | ~linorder(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f29818])).
% 59.37/10.02  tff(f72438,plain,(
% 59.37/10.02    spl2737_1618 | ~spl2737_113 | ~spl2737_928),
% 59.37/10.02    inference(avatar_split_clause,[],[f69124,f68769,f64784,f72435])).
% 59.37/10.02  tff(f72435,plain,(
% 59.37/10.02    spl2737_1618 <=> sP120(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1618])])).
% 59.37/10.02  tff(f68769,plain,(
% 59.37/10.02    spl2737_928 <=> ! [X0 : $tType] : (sP120(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_928])])).
% 59.37/10.02  tff(f69124,plain,(
% 59.37/10.02    sP120(real) | (~spl2737_113 | ~spl2737_928)),
% 59.37/10.02    inference(resolution,[],[f68770,f64786])).
% 59.37/10.02  tff(f68770,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP120(X0)) ) | ~spl2737_928),
% 59.37/10.02    inference(avatar_component_clause,[],[f68769])).
% 59.37/10.02  tff(f72433,plain,(
% 59.37/10.02    spl2737_1617),
% 59.37/10.02    inference(avatar_split_clause,[],[f41898,f72431])).
% 59.37/10.02  tff(f72431,plain,(
% 59.37/10.02    spl2737_1617 <=> ! [X0 : $tType] : (semilattice_order(X0,ord_min(X0),ord_less_eq(X0),ord_less(X0)) | ~linorder(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1617])])).
% 59.37/10.02  tff(f41898,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (semilattice_order(X0,ord_min(X0),ord_less_eq(X0),ord_less(X0)) | ~linorder(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f22317])).
% 59.37/10.02  tff(f22317,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semilattice_order(X0,ord_min(X0),ord_less_eq(X0),ord_less(X0)) | ~linorder(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7897])).
% 59.37/10.02  tff(f7897,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (linorder(X0) => semilattice_order(X0,ord_min(X0),ord_less_eq(X0),ord_less(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7896_min_Osemilattice__order__axioms)).
% 59.37/10.02  tff(f72429,plain,(
% 59.37/10.02    spl2737_1616),
% 59.37/10.02    inference(avatar_split_clause,[],[f41762,f72427])).
% 59.37/10.02  tff(f72427,plain,(
% 59.37/10.02    spl2737_1616 <=> ! [X0 : $tType] : (semilattice_order(X0,inf_inf(X0),ord_less_eq(X0),ord_less(X0)) | ~semilattice_inf(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1616])])).
% 59.37/10.02  tff(f41762,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (semilattice_order(X0,inf_inf(X0),ord_less_eq(X0),ord_less(X0)) | ~semilattice_inf(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f22202])).
% 59.37/10.02  tff(f22202,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semilattice_order(X0,inf_inf(X0),ord_less_eq(X0),ord_less(X0)) | ~semilattice_inf(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7896])).
% 59.37/10.02  tff(f7896,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semilattice_inf(X0) => semilattice_order(X0,inf_inf(X0),ord_less_eq(X0),ord_less(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7895_inf_Osemilattice__order__axioms)).
% 59.37/10.02  tff(f72425,plain,(
% 59.37/10.02    spl2737_1615),
% 59.37/10.02    inference(avatar_split_clause,[],[f41193,f72423])).
% 59.37/10.02  tff(f72423,plain,(
% 59.37/10.02    spl2737_1615 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~semidom_divide(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1615])])).
% 59.37/10.02  tff(f41193,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~semidom_divide(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21700])).
% 59.37/10.02  tff(f21700,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~semidom_divide(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13223])).
% 59.37/10.02  tff(f13223,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f938])).
% 59.37/10.02  tff(f938,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_divide(X0) => ! [X7 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_937_div__0)).
% 59.37/10.02  tff(f72421,plain,(
% 59.37/10.02    spl2737_1614),
% 59.37/10.02    inference(avatar_split_clause,[],[f41192,f72419])).
% 59.37/10.02  tff(f72419,plain,(
% 59.37/10.02    spl2737_1614 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~semidom_divide(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1614])])).
% 59.37/10.02  tff(f41192,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~semidom_divide(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21699])).
% 59.37/10.02  tff(f21699,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~semidom_divide(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f13222])).
% 59.37/10.02  tff(f13222,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)))),
% 59.37/10.02    inference(rectify,[],[f937])).
% 59.37/10.02  tff(f937,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_divide(X0) => ! [X7 : X0] : zero_zero(X0) = divide_divide(X0,X7,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_936_div__by__0)).
% 59.37/10.02  tff(f72417,plain,(
% 59.37/10.02    spl2737_1613),
% 59.37/10.02    inference(avatar_split_clause,[],[f40712,f72415])).
% 59.37/10.02  tff(f72415,plain,(
% 59.37/10.02    spl2737_1613 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)) | ~ring_1(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1613])])).
% 59.37/10.02  tff(f40712,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)) | ~ring_1(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21244])).
% 59.37/10.02  tff(f21244,plain,(
% 59.37/10.02    ! [X0 : $tType] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)) | ~ring_1(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f4796])).
% 59.37/10.02  tff(f4796,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),one2)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4795_not__iszero__Numeral1)).
% 59.37/10.02  tff(f72413,plain,(
% 59.37/10.02    spl2737_1612),
% 59.37/10.02    inference(avatar_split_clause,[],[f40642,f72411])).
% 59.37/10.02  tff(f72411,plain,(
% 59.37/10.02    spl2737_1612 <=> ! [X0 : $tType,X1 : num] : (neg_numeral_is_num(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1612])])).
% 59.37/10.02  tff(f40642,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : num] : (neg_numeral_is_num(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21185])).
% 59.37/10.02  tff(f21185,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : num] : neg_numeral_is_num(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~neg_numeral(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12827])).
% 59.37/10.02  tff(f12827,plain,(
% 59.37/10.02    ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : num] : neg_numeral_is_num(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 59.37/10.02    inference(rectify,[],[f7768])).
% 59.37/10.02  tff(f7768,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (neg_numeral(X0) => ! [X18 : num] : neg_numeral_is_num(X0,aa(num,X0,numeral_numeral(X0),X18)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7767_is__num__numeral)).
% 59.37/10.02  tff(f72409,plain,(
% 59.37/10.02    spl2737_1611),
% 59.37/10.02    inference(avatar_split_clause,[],[f40534,f72407])).
% 59.37/10.02  tff(f72407,plain,(
% 59.37/10.02    spl2737_1611 <=> ! [X0 : $tType] : (group(X0,plus_plus(X0),zero_zero(X0),uminus_uminus(X0)) | ~group_add(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1611])])).
% 59.37/10.02  tff(f40534,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (group(X0,plus_plus(X0),zero_zero(X0),uminus_uminus(X0)) | ~group_add(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21091])).
% 59.37/10.02  tff(f21091,plain,(
% 59.37/10.02    ! [X0 : $tType] : (group(X0,plus_plus(X0),zero_zero(X0),uminus_uminus(X0)) | ~group_add(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7370])).
% 59.37/10.02  tff(f7370,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (group_add(X0) => group(X0,plus_plus(X0),zero_zero(X0),uminus_uminus(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7369_add_Ogroup__axioms)).
% 59.37/10.02  tff(f72405,plain,(
% 59.37/10.02    spl2737_1610),
% 59.37/10.02    inference(avatar_split_clause,[],[f40422,f72403])).
% 59.37/10.02  tff(f72403,plain,(
% 59.37/10.02    spl2737_1610 <=> ! [X0 : $tType,X1 : num] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1610])])).
% 59.37/10.02  tff(f40422,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : num] : (~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f21014])).
% 59.37/10.02  tff(f21014,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : num] : ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)) | ~ring_char_0(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12682])).
% 59.37/10.02  tff(f12682,plain,(
% 59.37/10.02    ! [X0 : $tType] : (ring_char_0(X0) => ! [X1 : num] : ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X1)))),
% 59.37/10.02    inference(rectify,[],[f4789])).
% 59.37/10.02  tff(f4789,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ring_char_0(X0) => ! [X61 : num] : ~ring_1_iszero(X0,aa(num,X0,numeral_numeral(X0),X61)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4788_not__iszero__numeral)).
% 59.37/10.02  tff(f72401,plain,(
% 59.37/10.02    spl2737_1609),
% 59.37/10.02    inference(avatar_split_clause,[],[f39853,f72399])).
% 59.37/10.02  tff(f72399,plain,(
% 59.37/10.02    spl2737_1609 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1609])])).
% 59.37/10.02  tff(f39853,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20687])).
% 59.37/10.02  tff(f20687,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12399])).
% 59.37/10.02  tff(f12399,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X1 : nat] : zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X1,zero_zero(X0)))),
% 59.37/10.02    inference(rectify,[],[f2696])).
% 59.37/10.02  tff(f2696,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => ! [X8 : nat] : zero_zero(X0) = bit_se2584673776208193580ke_bit(X0,X8,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2695_take__bit__of__0)).
% 59.37/10.02  tff(f72397,plain,(
% 59.37/10.02    spl2737_1608),
% 59.37/10.02    inference(avatar_split_clause,[],[f39764,f72395])).
% 59.37/10.02  tff(f72395,plain,(
% 59.37/10.02    spl2737_1608 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X2,X1) | ~algebraic_semidom(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1608])])).
% 59.37/10.02  tff(f39764,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X2,X1) | ~algebraic_semidom(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f29193])).
% 59.37/10.02  tff(f29193,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((algebr8660921524188924756oprime(X0,X1,X2) | ~algebr8660921524188924756oprime(X0,X2,X1)) & (algebr8660921524188924756oprime(X0,X2,X1) | ~algebr8660921524188924756oprime(X0,X1,X2))) | ~algebraic_semidom(X0))),
% 59.37/10.02    inference(nnf_transformation,[],[f20620])).
% 59.37/10.02  tff(f20620,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) <=> algebr8660921524188924756oprime(X0,X2,X1)) | ~algebraic_semidom(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12357])).
% 59.37/10.02  tff(f12357,plain,(
% 59.37/10.02    ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0,X2 : X0] : (algebr8660921524188924756oprime(X0,X1,X2) <=> algebr8660921524188924756oprime(X0,X2,X1)))),
% 59.37/10.02    inference(rectify,[],[f6834])).
% 59.37/10.02  tff(f6834,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X49 : X0,X7 : X0] : (algebr8660921524188924756oprime(X0,X49,X7) <=> algebr8660921524188924756oprime(X0,X7,X49)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6833_coprime__commute)).
% 59.37/10.02  tff(f72393,plain,(
% 59.37/10.02    spl2737_1607 | ~spl2737_112 | ~spl2737_928),
% 59.37/10.02    inference(avatar_split_clause,[],[f69123,f68769,f64779,f72390])).
% 59.37/10.02  tff(f72390,plain,(
% 59.37/10.02    spl2737_1607 <=> sP120(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1607])])).
% 59.37/10.02  tff(f69123,plain,(
% 59.37/10.02    sP120(rat) | (~spl2737_112 | ~spl2737_928)),
% 59.37/10.02    inference(resolution,[],[f68770,f64781])).
% 59.37/10.02  tff(f72388,plain,(
% 59.37/10.02    spl2737_1606),
% 59.37/10.02    inference(avatar_split_clause,[],[f39477,f72386])).
% 59.37/10.02  tff(f72386,plain,(
% 59.37/10.02    spl2737_1606 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1606])])).
% 59.37/10.02  tff(f39477,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20439])).
% 59.37/10.02  tff(f20439,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12197])).
% 59.37/10.02  tff(f12197,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f1401])).
% 59.37/10.02  tff(f1401,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0] : zero_zero(X0) = divide_divide(X0,zero_zero(X0),X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1400_bits__div__0)).
% 59.37/10.02  tff(f72384,plain,(
% 59.37/10.02    spl2737_1605),
% 59.37/10.02    inference(avatar_split_clause,[],[f39476,f72382])).
% 59.37/10.02  tff(f72382,plain,(
% 59.37/10.02    spl2737_1605 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~bit_semiring_bits(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1605])])).
% 59.37/10.02  tff(f39476,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~bit_semiring_bits(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20438])).
% 59.37/10.02  tff(f20438,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~bit_semiring_bits(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12196])).
% 59.37/10.02  tff(f12196,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)))),
% 59.37/10.02    inference(rectify,[],[f1402])).
% 59.37/10.02  tff(f1402,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0] : zero_zero(X0) = divide_divide(X0,X7,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1401_bits__div__by__0)).
% 59.37/10.02  tff(f72380,plain,(
% 59.37/10.02    spl2737_1604),
% 59.37/10.02    inference(avatar_split_clause,[],[f39475,f72378])).
% 59.37/10.02  tff(f72378,plain,(
% 59.37/10.02    spl2737_1604 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1604])])).
% 59.37/10.02  tff(f39475,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20437])).
% 59.37/10.02  tff(f20437,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~bit_semiring_bits(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12195])).
% 59.37/10.02  tff(f12195,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f1784])).
% 59.37/10.02  tff(f1784,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1783_bits__mod__0)).
% 59.37/10.02  tff(f72376,plain,(
% 59.37/10.02    spl2737_1603),
% 59.37/10.02    inference(avatar_split_clause,[],[f39474,f72374])).
% 59.37/10.02  tff(f72374,plain,(
% 59.37/10.02    spl2737_1603 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~bit_semiring_bits(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1603])])).
% 59.37/10.02  tff(f39474,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~bit_semiring_bits(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20436])).
% 59.37/10.02  tff(f20436,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~bit_semiring_bits(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f12194])).
% 59.37/10.02  tff(f12194,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)))),
% 59.37/10.02    inference(rectify,[],[f1801])).
% 59.37/10.02  tff(f1801,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0] : zero_zero(X0) = modulo_modulo(X0,X7,one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1800_bits__mod__by__1)).
% 59.37/10.02  tff(f72372,plain,(
% 59.37/10.02    spl2737_1602),
% 59.37/10.02    inference(avatar_split_clause,[],[f39112,f72370])).
% 59.37/10.02  tff(f72370,plain,(
% 59.37/10.02    spl2737_1602 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~semidom_modulo(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1602])])).
% 59.37/10.02  tff(f39112,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~semidom_modulo(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20209])).
% 59.37/10.02  tff(f20209,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1) | ~semidom_modulo(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11999])).
% 59.37/10.02  tff(f11999,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f1781])).
% 59.37/10.02  tff(f1781,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X7 : X0] : zero_zero(X0) = modulo_modulo(X0,zero_zero(X0),X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1780_mod__0)).
% 59.37/10.02  tff(f72368,plain,(
% 59.37/10.02    spl2737_1601),
% 59.37/10.02    inference(avatar_split_clause,[],[f39111,f72366])).
% 59.37/10.02  tff(f72366,plain,(
% 59.37/10.02    spl2737_1601 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~semidom_modulo(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1601])])).
% 59.37/10.02  tff(f39111,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~semidom_modulo(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20208])).
% 59.37/10.02  tff(f20208,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)) | ~semidom_modulo(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11998])).
% 59.37/10.02  tff(f11998,plain,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,one_one(X0)))),
% 59.37/10.02    inference(rectify,[],[f1800])).
% 59.37/10.02  tff(f1800,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X7 : X0] : zero_zero(X0) = modulo_modulo(X0,X7,one_one(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1799_mod__by__1)).
% 59.37/10.02  tff(f72364,plain,(
% 59.37/10.02    spl2737_1600),
% 59.37/10.02    inference(avatar_split_clause,[],[f38822,f72362])).
% 59.37/10.02  tff(f72362,plain,(
% 59.37/10.02    spl2737_1600 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1600])])).
% 59.37/10.02  tff(f38822,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~division_ring(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20048])).
% 59.37/10.02  tff(f20048,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)) | ~division_ring(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11859])).
% 59.37/10.02  tff(f11859,plain,(
% 59.37/10.02    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0] : zero_zero(X0) = divide_divide(X0,X1,zero_zero(X0)))),
% 59.37/10.02    inference(rectify,[],[f939])).
% 59.37/10.02  tff(f939,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0] : zero_zero(X0) = divide_divide(X0,X7,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_938_division__ring__divide__zero)).
% 59.37/10.02  tff(f72360,plain,(
% 59.37/10.02    spl2737_1599),
% 59.37/10.02    inference(avatar_split_clause,[],[f38821,f72358])).
% 59.37/10.02  tff(f72358,plain,(
% 59.37/10.02    spl2737_1599 <=> ! [X0 : $tType,X1 : int] : (one_one(X0) = power_int(X0,one_one(X0),X1) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1599])])).
% 59.37/10.02  tff(f38821,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : int] : (one_one(X0) = power_int(X0,one_one(X0),X1) | ~division_ring(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f20047])).
% 59.37/10.02  tff(f20047,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : int] : one_one(X0) = power_int(X0,one_one(X0),X1) | ~division_ring(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11858])).
% 59.37/10.02  tff(f11858,plain,(
% 59.37/10.02    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : int] : one_one(X0) = power_int(X0,one_one(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f2033])).
% 59.37/10.02  tff(f2033,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (division_ring(X0) => ! [X8 : int] : one_one(X0) = power_int(X0,one_one(X0),X8))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2032_power__int__1__left)).
% 59.37/10.02  tff(f72356,plain,(
% 59.37/10.02    spl2737_1598),
% 59.37/10.02    inference(avatar_split_clause,[],[f38315,f72354])).
% 59.37/10.02  tff(f72354,plain,(
% 59.37/10.02    spl2737_1598 <=> ! [X0 : $tType,X1 : filter(X0)] : (has_field_derivative(X0,aTP_Lamp_qr(X0,X0),one_one(X0),X1) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1598])])).
% 59.37/10.02  tff(f38315,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : filter(X0)] : (has_field_derivative(X0,aTP_Lamp_qr(X0,X0),one_one(X0),X1) | ~real_V3459762299906320749_field(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f19590])).
% 59.37/10.02  tff(f19590,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_qr(X0,X0),one_one(X0),X1) | ~real_V3459762299906320749_field(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f11478])).
% 59.37/10.02  tff(f11478,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X1 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_qr(X0,X0),one_one(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f5777])).
% 59.37/10.02  tff(f5777,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V3459762299906320749_field(X0) => ! [X121 : filter(X0)] : has_field_derivative(X0,aTP_Lamp_qr(X0,X0),one_one(X0),X121))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5776_DERIV__ident)).
% 59.37/10.02  tff(f72352,plain,(
% 59.37/10.02    spl2737_1597),
% 59.37/10.02    inference(avatar_split_clause,[],[f37056,f72350])).
% 59.37/10.02  tff(f72350,plain,(
% 59.37/10.02    spl2737_1597 <=> ! [X0 : $tType,X1 : real] : (zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,zero_zero(X0)) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1597])])).
% 59.37/10.02  tff(f37056,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : real] : (zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,zero_zero(X0)) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18903])).
% 59.37/10.02  tff(f18903,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : real] : zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,zero_zero(X0)) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10924])).
% 59.37/10.02  tff(f10924,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : real] : zero_zero(X0) = real_V8093663219630862766scaleR(X0,X1,zero_zero(X0)))),
% 59.37/10.02    inference(rectify,[],[f3939])).
% 59.37/10.02  tff(f3939,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X7 : real] : zero_zero(X0) = real_V8093663219630862766scaleR(X0,X7,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3938_scaleR__zero__right)).
% 59.37/10.02  tff(f72348,plain,(
% 59.37/10.02    spl2737_1596 | ~spl2737_111 | ~spl2737_928),
% 59.37/10.02    inference(avatar_split_clause,[],[f69122,f68769,f64774,f72345])).
% 59.37/10.02  tff(f72345,plain,(
% 59.37/10.02    spl2737_1596 <=> sP120(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1596])])).
% 59.37/10.02  tff(f69122,plain,(
% 59.37/10.02    sP120(complex) | (~spl2737_111 | ~spl2737_928)),
% 59.37/10.02    inference(resolution,[],[f68770,f64776])).
% 59.37/10.02  tff(f72343,plain,(
% 59.37/10.02    spl2737_1595),
% 59.37/10.02    inference(avatar_split_clause,[],[f37055,f72341])).
% 59.37/10.02  tff(f72341,plain,(
% 59.37/10.02    spl2737_1595 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = real_V8093663219630862766scaleR(X0,zero_zero(real),X1) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1595])])).
% 59.37/10.02  tff(f37055,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = real_V8093663219630862766scaleR(X0,zero_zero(real),X1) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18902])).
% 59.37/10.02  tff(f18902,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = real_V8093663219630862766scaleR(X0,zero_zero(real),X1) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10923])).
% 59.37/10.02  tff(f10923,plain,(
% 59.37/10.02    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0] : zero_zero(X0) = real_V8093663219630862766scaleR(X0,zero_zero(real),X1))),
% 59.37/10.02    inference(rectify,[],[f3944])).
% 59.37/10.02  tff(f3944,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X14 : X0] : zero_zero(X0) = real_V8093663219630862766scaleR(X0,zero_zero(real),X14))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3943_scaleR__zero__left)).
% 59.37/10.02  tff(f72339,plain,(
% 59.37/10.02    spl2737_1594),
% 59.37/10.02    inference(avatar_split_clause,[],[f36963,f72337])).
% 59.37/10.02  tff(f72337,plain,(
% 59.37/10.02    spl2737_1594 <=> ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = bit_ri4674362597316999326ke_bit(X0,X1,zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1594])])).
% 59.37/10.02  tff(f36963,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : nat] : (zero_zero(X0) = bit_ri4674362597316999326ke_bit(X0,X1,zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18825])).
% 59.37/10.02  tff(f18825,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : nat] : zero_zero(X0) = bit_ri4674362597316999326ke_bit(X0,X1,zero_zero(X0)) | ~bit_ri3973907225187159222ations(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10851])).
% 59.37/10.02  tff(f10851,plain,(
% 59.37/10.02    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X1 : nat] : zero_zero(X0) = bit_ri4674362597316999326ke_bit(X0,X1,zero_zero(X0)))),
% 59.37/10.02    inference(rectify,[],[f2544])).
% 59.37/10.02  tff(f2544,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (bit_ri3973907225187159222ations(X0) => ! [X8 : nat] : zero_zero(X0) = bit_ri4674362597316999326ke_bit(X0,X8,zero_zero(X0)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2543_signed__take__bit__of__0)).
% 59.37/10.02  tff(f72335,plain,(
% 59.37/10.02    spl2737_1593),
% 59.37/10.02    inference(avatar_split_clause,[],[f36826,f72333])).
% 59.37/10.02  tff(f72333,plain,(
% 59.37/10.02    spl2737_1593 <=> ! [X0 : $tType] : (zero_zero(X0) = gcd_Lcm(X0,top_top(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1593])])).
% 59.37/10.02  tff(f36826,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = gcd_Lcm(X0,top_top(set(X0))) | ~semiring_Gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18718])).
% 59.37/10.02  tff(f18718,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = gcd_Lcm(X0,top_top(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7489])).
% 59.37/10.02  tff(f7489,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_Gcd(X0) => zero_zero(X0) = gcd_Lcm(X0,top_top(set(X0))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7488_Lcm__UNIV)).
% 59.37/10.02  tff(f72331,plain,(
% 59.37/10.02    spl2737_1592),
% 59.37/10.02    inference(avatar_split_clause,[],[f36825,f72329])).
% 59.37/10.02  tff(f72329,plain,(
% 59.37/10.02    spl2737_1592 <=> ! [X0 : $tType] : (zero_zero(X0) = gcd_Gcd(X0,bot_bot(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1592])])).
% 59.37/10.02  tff(f36825,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (zero_zero(X0) = gcd_Gcd(X0,bot_bot(set(X0))) | ~semiring_Gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18717])).
% 59.37/10.02  tff(f18717,plain,(
% 59.37/10.02    ! [X0 : $tType] : (zero_zero(X0) = gcd_Gcd(X0,bot_bot(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f4702])).
% 59.37/10.02  tff(f4702,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_Gcd(X0) => zero_zero(X0) = gcd_Gcd(X0,bot_bot(set(X0))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4701_Gcd__empty)).
% 59.37/10.02  tff(f72327,plain,(
% 59.37/10.02    spl2737_1591),
% 59.37/10.02    inference(avatar_split_clause,[],[f36824,f72325])).
% 59.37/10.02  tff(f72325,plain,(
% 59.37/10.02    spl2737_1591 <=> ! [X0 : $tType] : (one_one(X0) = gcd_Lcm(X0,bot_bot(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1591])])).
% 59.37/10.02  tff(f36824,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = gcd_Lcm(X0,bot_bot(set(X0))) | ~semiring_Gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18716])).
% 59.37/10.02  tff(f18716,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = gcd_Lcm(X0,bot_bot(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f7490])).
% 59.37/10.02  tff(f7490,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_Gcd(X0) => one_one(X0) = gcd_Lcm(X0,bot_bot(set(X0))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7489_Lcm__empty)).
% 59.37/10.02  tff(f72323,plain,(
% 59.37/10.02    spl2737_1590),
% 59.37/10.02    inference(avatar_split_clause,[],[f36823,f72321])).
% 59.37/10.02  tff(f72321,plain,(
% 59.37/10.02    spl2737_1590 <=> ! [X0 : $tType] : (one_one(X0) = gcd_Gcd(X0,top_top(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1590])])).
% 59.37/10.02  tff(f36823,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (one_one(X0) = gcd_Gcd(X0,top_top(set(X0))) | ~semiring_Gcd(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18715])).
% 59.37/10.02  tff(f18715,plain,(
% 59.37/10.02    ! [X0 : $tType] : (one_one(X0) = gcd_Gcd(X0,top_top(set(X0))) | ~semiring_Gcd(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f5592])).
% 59.37/10.02  tff(f5592,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (semiring_Gcd(X0) => one_one(X0) = gcd_Gcd(X0,top_top(set(X0))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5591_Gcd__UNIV)).
% 59.37/10.02  tff(f72319,plain,(
% 59.37/10.02    spl2737_1589),
% 59.37/10.02    inference(avatar_split_clause,[],[f36444,f72317])).
% 59.37/10.02  tff(f72317,plain,(
% 59.37/10.02    spl2737_1589 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = powr(X0,zero_zero(X0),X1) | ~ln(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1589])])).
% 59.37/10.02  tff(f36444,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = powr(X0,zero_zero(X0),X1) | ~ln(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18462])).
% 59.37/10.02  tff(f18462,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = powr(X0,zero_zero(X0),X1) | ~ln(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10552])).
% 59.37/10.02  tff(f10552,plain,(
% 59.37/10.02    ! [X0 : $tType] : (ln(X0) => ! [X1 : X0] : zero_zero(X0) = powr(X0,zero_zero(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f1601])).
% 59.37/10.02  tff(f1601,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ln(X0) => ! [X60 : X0] : zero_zero(X0) = powr(X0,zero_zero(X0),X60))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1600_powr__0)).
% 59.37/10.02  tff(f72315,plain,(
% 59.37/10.02    spl2737_1588),
% 59.37/10.02    inference(avatar_split_clause,[],[f36443,f72313])).
% 59.37/10.02  tff(f72313,plain,(
% 59.37/10.02    spl2737_1588 <=> ! [X0 : $tType,X1 : X0] : (one_one(X0) = powr(X0,one_one(X0),X1) | ~ln(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1588])])).
% 59.37/10.02  tff(f36443,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X1 : X0] : (one_one(X0) = powr(X0,one_one(X0),X1) | ~ln(X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f18461])).
% 59.37/10.02  tff(f18461,plain,(
% 59.37/10.02    ! [X0 : $tType] : (! [X1 : X0] : one_one(X0) = powr(X0,one_one(X0),X1) | ~ln(X0))),
% 59.37/10.02    inference(ennf_transformation,[],[f10551])).
% 59.37/10.02  tff(f10551,plain,(
% 59.37/10.02    ! [X0 : $tType] : (ln(X0) => ! [X1 : X0] : one_one(X0) = powr(X0,one_one(X0),X1))),
% 59.37/10.02    inference(rectify,[],[f1603])).
% 59.37/10.02  tff(f1603,axiom,(
% 59.37/10.02    ! [X0 : $tType] : (ln(X0) => ! [X7 : X0] : one_one(X0) = powr(X0,one_one(X0),X7))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1602_powr__one__eq__one)).
% 59.37/10.02  tff(f72311,plain,(
% 59.37/10.02    spl2737_1587),
% 59.37/10.02    inference(avatar_split_clause,[],[f35827,f72309])).
% 59.37/10.02  tff(f72309,plain,(
% 59.37/10.02    spl2737_1587 <=> ! [X0 : int] : zero_zero(real) = im(aa(int,complex,ring_1_of_int(complex),X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1587])])).
% 59.37/10.02  tff(f35827,plain,(
% 59.37/10.02    ( ! [X0 : int] : (zero_zero(real) = im(aa(int,complex,ring_1_of_int(complex),X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9997])).
% 59.37/10.02  tff(f9997,plain,(
% 59.37/10.02    ! [X0 : int] : zero_zero(real) = im(aa(int,complex,ring_1_of_int(complex),X0))),
% 59.37/10.02    inference(rectify,[],[f4729])).
% 59.37/10.02  tff(f4729,axiom,(
% 59.37/10.02    ! [X60 : int] : zero_zero(real) = im(aa(int,complex,ring_1_of_int(complex),X60))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4728_complex__Im__of__int)).
% 59.37/10.02  tff(f72307,plain,(
% 59.37/10.02    spl2737_1586),
% 59.37/10.02    inference(avatar_split_clause,[],[f35826,f72305])).
% 59.37/10.02  tff(f72305,plain,(
% 59.37/10.02    spl2737_1586 <=> ! [X0 : nat] : zero_zero(rat) = aa(nat,rat,aTP_Lamp_aaj(nat,rat),X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1586])])).
% 59.37/10.02  tff(f35826,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (zero_zero(rat) = aa(nat,rat,aTP_Lamp_aaj(nat,rat),X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9996])).
% 59.37/10.02  tff(f9996,plain,(
% 59.37/10.02    ! [X0 : nat] : zero_zero(rat) = aa(nat,rat,aTP_Lamp_aaj(nat,rat),X0)),
% 59.37/10.02    inference(rectify,[],[f8961])).
% 59.37/10.02  tff(f8961,axiom,(
% 59.37/10.02    ! [X94 : nat] : zero_zero(rat) = aa(nat,rat,aTP_Lamp_aaj(nat,rat),X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8960_ATP_Olambda__845)).
% 59.37/10.02  tff(f72303,plain,(
% 59.37/10.02    spl2737_1585 | ~spl2737_113 | ~spl2737_927),
% 59.37/10.02    inference(avatar_split_clause,[],[f69121,f68765,f64784,f72300])).
% 59.37/10.02  tff(f72300,plain,(
% 59.37/10.02    spl2737_1585 <=> sP118(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1585])])).
% 59.37/10.02  tff(f68765,plain,(
% 59.37/10.02    spl2737_927 <=> ! [X0 : $tType] : (sP118(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_927])])).
% 59.37/10.02  tff(f69121,plain,(
% 59.37/10.02    sP118(real) | (~spl2737_113 | ~spl2737_927)),
% 59.37/10.02    inference(resolution,[],[f68766,f64786])).
% 59.37/10.02  tff(f68766,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP118(X0)) ) | ~spl2737_927),
% 59.37/10.02    inference(avatar_component_clause,[],[f68765])).
% 59.37/10.02  tff(f72298,plain,(
% 59.37/10.02    spl2737_1584),
% 59.37/10.02    inference(avatar_split_clause,[],[f35824,f72296])).
% 59.37/10.02  tff(f72296,plain,(
% 59.37/10.02    spl2737_1584 <=> ! [X0 : nat] : one_one(nat) = unit_f5069060285200089521factor(nat,aa(nat,nat,suc,X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1584])])).
% 59.37/10.02  tff(f35824,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (one_one(nat) = unit_f5069060285200089521factor(nat,aa(nat,nat,suc,X0))) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9994])).
% 59.37/10.02  tff(f9994,plain,(
% 59.37/10.02    ! [X0 : nat] : one_one(nat) = unit_f5069060285200089521factor(nat,aa(nat,nat,suc,X0))),
% 59.37/10.02    inference(rectify,[],[f7715])).
% 59.37/10.02  tff(f7715,axiom,(
% 59.37/10.02    ! [X8 : nat] : one_one(nat) = unit_f5069060285200089521factor(nat,aa(nat,nat,suc,X8))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7714_unit__factor__simps_I2_J)).
% 59.37/10.02  tff(f72294,plain,(
% 59.37/10.02    spl2737_1583),
% 59.37/10.02    inference(avatar_split_clause,[],[f35823,f72292])).
% 59.37/10.02  tff(f72292,plain,(
% 59.37/10.02    spl2737_1583 <=> ! [X0 : nat] : one_one(rat) = aa(nat,rat,aTP_Lamp_aak(nat,rat),X0)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1583])])).
% 59.37/10.02  tff(f35823,plain,(
% 59.37/10.02    ( ! [X0 : nat] : (one_one(rat) = aa(nat,rat,aTP_Lamp_aak(nat,rat),X0)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f9993])).
% 59.37/10.02  tff(f9993,plain,(
% 59.37/10.02    ! [X0 : nat] : one_one(rat) = aa(nat,rat,aTP_Lamp_aak(nat,rat),X0)),
% 59.37/10.02    inference(rectify,[],[f8971])).
% 59.37/10.02  tff(f8971,axiom,(
% 59.37/10.02    ! [X94 : nat] : one_one(rat) = aa(nat,rat,aTP_Lamp_aak(nat,rat),X94)),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8970_ATP_Olambda__855)).
% 59.37/10.02  tff(f72290,plain,(
% 59.37/10.02    spl2737_1582),
% 59.37/10.02    inference(avatar_split_clause,[],[f35489,f72287])).
% 59.37/10.02  tff(f72287,plain,(
% 59.37/10.02    spl2737_1582 <=> bij_betw(nat,int,nat_int_decode,top_top(set(nat)),top_top(set(int)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1582])])).
% 59.37/10.02  tff(f35489,plain,(
% 59.37/10.02    bij_betw(nat,int,nat_int_decode,top_top(set(nat)),top_top(set(int)))),
% 59.37/10.02    inference(cnf_transformation,[],[f6219])).
% 59.37/10.02  tff(f6219,axiom,(
% 59.37/10.02    bij_betw(nat,int,nat_int_decode,top_top(set(nat)),top_top(set(int)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6218_bij__int__decode)).
% 59.37/10.02  tff(f72285,plain,(
% 59.37/10.02    spl2737_1581),
% 59.37/10.02    inference(avatar_split_clause,[],[f35488,f72282])).
% 59.37/10.02  tff(f72282,plain,(
% 59.37/10.02    spl2737_1581 <=> bij_betw(int,nat,nat_int_encode,top_top(set(int)),top_top(set(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1581])])).
% 59.37/10.02  tff(f35488,plain,(
% 59.37/10.02    bij_betw(int,nat,nat_int_encode,top_top(set(int)),top_top(set(nat)))),
% 59.37/10.02    inference(cnf_transformation,[],[f5908])).
% 59.37/10.02  tff(f5908,axiom,(
% 59.37/10.02    bij_betw(int,nat,nat_int_encode,top_top(set(int)),top_top(set(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5907_bij__int__encode)).
% 59.37/10.02  tff(f72280,plain,(
% 59.37/10.02    spl2737_1580),
% 59.37/10.02    inference(avatar_split_clause,[],[f35487,f72277])).
% 59.37/10.02  tff(f72277,plain,(
% 59.37/10.02    spl2737_1580 <=> inj_on(set(nat),nat,nat_set_encode,collect(set(nat),finite_finite(nat)))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1580])])).
% 59.37/10.02  tff(f35487,plain,(
% 59.37/10.02    inj_on(set(nat),nat,nat_set_encode,collect(set(nat),finite_finite(nat)))),
% 59.37/10.02    inference(cnf_transformation,[],[f6211])).
% 59.37/10.02  tff(f6211,axiom,(
% 59.37/10.02    inj_on(set(nat),nat,nat_set_encode,collect(set(nat),finite_finite(nat)))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6210_inj__on__set__encode)).
% 59.37/10.02  tff(f72275,plain,(
% 59.37/10.02    spl2737_1579),
% 59.37/10.02    inference(avatar_split_clause,[],[f35483,f72272])).
% 59.37/10.02  tff(f72272,plain,(
% 59.37/10.02    spl2737_1579 <=> zero_zero(int) = aa(int,int,uminus_uminus(int),zero_zero(int))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1579])])).
% 59.37/10.02  tff(f35483,plain,(
% 59.37/10.02    zero_zero(int) = aa(int,int,uminus_uminus(int),zero_zero(int))),
% 59.37/10.02    inference(cnf_transformation,[],[f386])).
% 59.37/10.02  tff(f386,axiom,(
% 59.37/10.02    zero_zero(int) = aa(int,int,uminus_uminus(int),zero_zero(int))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_385_uminus__int__code_I1_J)).
% 59.37/10.02  tff(f72270,plain,(
% 59.37/10.02    spl2737_1578),
% 59.37/10.02    inference(avatar_split_clause,[],[f35482,f72267])).
% 59.37/10.02  tff(f72267,plain,(
% 59.37/10.02    spl2737_1578 <=> zero_zero(code_integer) = aa(code_integer,code_integer,uminus_uminus(code_integer),zero_zero(code_integer))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1578])])).
% 59.37/10.02  tff(f35482,plain,(
% 59.37/10.02    zero_zero(code_integer) = aa(code_integer,code_integer,uminus_uminus(code_integer),zero_zero(code_integer))),
% 59.37/10.02    inference(cnf_transformation,[],[f4403])).
% 59.37/10.02  tff(f4403,axiom,(
% 59.37/10.02    zero_zero(code_integer) = aa(code_integer,code_integer,uminus_uminus(code_integer),zero_zero(code_integer))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4402_uminus__integer__code_I1_J)).
% 59.37/10.02  tff(f72265,plain,(
% 59.37/10.02    ~spl2737_1577),
% 59.37/10.02    inference(avatar_split_clause,[],[f35480,f72262])).
% 59.37/10.02  tff(f72262,plain,(
% 59.37/10.02    spl2737_1577 <=> pp(aa(set(int),bool,finite_finite(int),top_top(set(int))))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1577])])).
% 59.37/10.02  tff(f35480,plain,(
% 59.37/10.02    ~pp(aa(set(int),bool,finite_finite(int),top_top(set(int))))),
% 59.37/10.02    inference(cnf_transformation,[],[f5650])).
% 59.37/10.02  tff(f5650,axiom,(
% 59.37/10.02    ~pp(aa(set(int),bool,finite_finite(int),top_top(set(int))))),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5649_infinite__UNIV__int)).
% 59.37/10.02  tff(f72260,plain,(
% 59.37/10.02    spl2737_1576 | ~spl2737_112 | ~spl2737_927),
% 59.37/10.02    inference(avatar_split_clause,[],[f69120,f68765,f64779,f72257])).
% 59.37/10.02  tff(f72257,plain,(
% 59.37/10.02    spl2737_1576 <=> sP118(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1576])])).
% 59.37/10.02  tff(f69120,plain,(
% 59.37/10.02    sP118(rat) | (~spl2737_112 | ~spl2737_927)),
% 59.37/10.02    inference(resolution,[],[f68766,f64781])).
% 59.37/10.02  tff(f72225,plain,(
% 59.37/10.02    spl2737_1575 | ~spl2737_111 | ~spl2737_927),
% 59.37/10.02    inference(avatar_split_clause,[],[f69119,f68765,f64774,f72222])).
% 59.37/10.02  tff(f72222,plain,(
% 59.37/10.02    spl2737_1575 <=> sP118(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1575])])).
% 59.37/10.02  tff(f69119,plain,(
% 59.37/10.02    sP118(complex) | (~spl2737_111 | ~spl2737_927)),
% 59.37/10.02    inference(resolution,[],[f68766,f64776])).
% 59.37/10.02  tff(f72202,plain,(
% 59.37/10.02    spl2737_1574 | ~spl2737_113 | ~spl2737_926),
% 59.37/10.02    inference(avatar_split_clause,[],[f69118,f68761,f64784,f72199])).
% 59.37/10.02  tff(f72199,plain,(
% 59.37/10.02    spl2737_1574 <=> sP116(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1574])])).
% 59.37/10.02  tff(f68761,plain,(
% 59.37/10.02    spl2737_926 <=> ! [X0 : $tType] : (sP116(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_926])])).
% 59.37/10.02  tff(f69118,plain,(
% 59.37/10.02    sP116(real) | (~spl2737_113 | ~spl2737_926)),
% 59.37/10.02    inference(resolution,[],[f68762,f64786])).
% 59.37/10.02  tff(f68762,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP116(X0)) ) | ~spl2737_926),
% 59.37/10.02    inference(avatar_component_clause,[],[f68761])).
% 59.37/10.02  tff(f72195,plain,(
% 59.37/10.02    spl2737_1573 | ~spl2737_1037 | ~spl2737_1530),
% 59.37/10.02    inference(avatar_split_clause,[],[f71844,f71840,f69533,f72192])).
% 59.37/10.02  tff(f72192,plain,(
% 59.37/10.02    spl2737_1573 <=> size_num(one2) = aa(code_integer,nat,code_Target_Nat,zero_zero(code_integer))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1573])])).
% 59.37/10.02  tff(f69533,plain,(
% 59.37/10.02    spl2737_1037 <=> code_nat_of_integer = code_Target_Nat),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1037])])).
% 59.37/10.02  tff(f71840,plain,(
% 59.37/10.02    spl2737_1530 <=> size_num(one2) = aa(code_integer,nat,code_nat_of_integer,zero_zero(code_integer))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1530])])).
% 59.37/10.02  tff(f71844,plain,(
% 59.37/10.02    size_num(one2) = aa(code_integer,nat,code_Target_Nat,zero_zero(code_integer)) | (~spl2737_1037 | ~spl2737_1530)),
% 59.37/10.02    inference(forward_demodulation,[],[f71842,f69535])).
% 59.37/10.02  tff(f69535,plain,(
% 59.37/10.02    code_nat_of_integer = code_Target_Nat | ~spl2737_1037),
% 59.37/10.02    inference(avatar_component_clause,[],[f69533])).
% 59.37/10.02  tff(f71842,plain,(
% 59.37/10.02    size_num(one2) = aa(code_integer,nat,code_nat_of_integer,zero_zero(code_integer)) | ~spl2737_1530),
% 59.37/10.02    inference(avatar_component_clause,[],[f71840])).
% 59.37/10.02  tff(f72190,plain,(
% 59.37/10.02    spl2737_1572 | ~spl2737_1037 | ~spl2737_1525),
% 59.37/10.02    inference(avatar_split_clause,[],[f71818,f71814,f69533,f72187])).
% 59.37/10.02  tff(f72187,plain,(
% 59.37/10.02    spl2737_1572 <=> one_one(nat) = aa(code_integer,nat,code_Target_Nat,code_integer_of_num(one2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1572])])).
% 59.37/10.02  tff(f71814,plain,(
% 59.37/10.02    spl2737_1525 <=> one_one(nat) = aa(code_integer,nat,code_nat_of_integer,code_integer_of_num(one2))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1525])])).
% 59.37/10.02  tff(f71818,plain,(
% 59.37/10.02    one_one(nat) = aa(code_integer,nat,code_Target_Nat,code_integer_of_num(one2)) | (~spl2737_1037 | ~spl2737_1525)),
% 59.37/10.02    inference(forward_demodulation,[],[f71816,f69535])).
% 59.37/10.02  tff(f71816,plain,(
% 59.37/10.02    one_one(nat) = aa(code_integer,nat,code_nat_of_integer,code_integer_of_num(one2)) | ~spl2737_1525),
% 59.37/10.02    inference(avatar_component_clause,[],[f71814])).
% 59.37/10.02  tff(f72185,plain,(
% 59.37/10.02    spl2737_1571 | ~spl2737_112 | ~spl2737_926),
% 59.37/10.02    inference(avatar_split_clause,[],[f69117,f68761,f64779,f72182])).
% 59.37/10.02  tff(f72182,plain,(
% 59.37/10.02    spl2737_1571 <=> sP116(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1571])])).
% 59.37/10.02  tff(f69117,plain,(
% 59.37/10.02    sP116(rat) | (~spl2737_112 | ~spl2737_926)),
% 59.37/10.02    inference(resolution,[],[f68762,f64781])).
% 59.37/10.02  tff(f72180,plain,(
% 59.37/10.02    spl2737_1570 | ~spl2737_111 | ~spl2737_926),
% 59.37/10.02    inference(avatar_split_clause,[],[f69116,f68761,f64774,f72177])).
% 59.37/10.02  tff(f72177,plain,(
% 59.37/10.02    spl2737_1570 <=> sP116(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1570])])).
% 59.37/10.02  tff(f69116,plain,(
% 59.37/10.02    sP116(complex) | (~spl2737_111 | ~spl2737_926)),
% 59.37/10.02    inference(resolution,[],[f68762,f64776])).
% 59.37/10.02  tff(f72171,plain,(
% 59.37/10.02    spl2737_1569 | ~spl2737_113 | ~spl2737_925),
% 59.37/10.02    inference(avatar_split_clause,[],[f69115,f68757,f64784,f72168])).
% 59.37/10.02  tff(f72168,plain,(
% 59.37/10.02    spl2737_1569 <=> sP114(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1569])])).
% 59.37/10.02  tff(f68757,plain,(
% 59.37/10.02    spl2737_925 <=> ! [X0 : $tType] : (sP114(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_925])])).
% 59.37/10.02  tff(f69115,plain,(
% 59.37/10.02    sP114(real) | (~spl2737_113 | ~spl2737_925)),
% 59.37/10.02    inference(resolution,[],[f68758,f64786])).
% 59.37/10.02  tff(f68758,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP114(X0)) ) | ~spl2737_925),
% 59.37/10.02    inference(avatar_component_clause,[],[f68757])).
% 59.37/10.02  tff(f72163,plain,(
% 59.37/10.02    spl2737_1568 | ~spl2737_112 | ~spl2737_925),
% 59.37/10.02    inference(avatar_split_clause,[],[f69114,f68757,f64779,f72160])).
% 59.37/10.02  tff(f72160,plain,(
% 59.37/10.02    spl2737_1568 <=> sP114(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1568])])).
% 59.37/10.02  tff(f69114,plain,(
% 59.37/10.02    sP114(rat) | (~spl2737_112 | ~spl2737_925)),
% 59.37/10.02    inference(resolution,[],[f68758,f64781])).
% 59.37/10.02  tff(f72146,plain,(
% 59.37/10.02    spl2737_1567 | ~spl2737_111 | ~spl2737_925),
% 59.37/10.02    inference(avatar_split_clause,[],[f69113,f68757,f64774,f72143])).
% 59.37/10.02  tff(f72143,plain,(
% 59.37/10.02    spl2737_1567 <=> sP114(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1567])])).
% 59.37/10.02  tff(f69113,plain,(
% 59.37/10.02    sP114(complex) | (~spl2737_111 | ~spl2737_925)),
% 59.37/10.02    inference(resolution,[],[f68758,f64776])).
% 59.37/10.02  tff(f72129,plain,(
% 59.37/10.02    spl2737_1566 | ~spl2737_113 | ~spl2737_924),
% 59.37/10.02    inference(avatar_split_clause,[],[f69112,f68753,f64784,f72126])).
% 59.37/10.02  tff(f72126,plain,(
% 59.37/10.02    spl2737_1566 <=> sP112(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1566])])).
% 59.37/10.02  tff(f68753,plain,(
% 59.37/10.02    spl2737_924 <=> ! [X0 : $tType] : (sP112(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_924])])).
% 59.37/10.02  tff(f69112,plain,(
% 59.37/10.02    sP112(real) | (~spl2737_113 | ~spl2737_924)),
% 59.37/10.02    inference(resolution,[],[f68754,f64786])).
% 59.37/10.02  tff(f68754,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP112(X0)) ) | ~spl2737_924),
% 59.37/10.02    inference(avatar_component_clause,[],[f68753])).
% 59.37/10.02  tff(f72118,plain,(
% 59.37/10.02    spl2737_1565 | ~spl2737_112 | ~spl2737_924),
% 59.37/10.02    inference(avatar_split_clause,[],[f69111,f68753,f64779,f72115])).
% 59.37/10.02  tff(f72115,plain,(
% 59.37/10.02    spl2737_1565 <=> sP112(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1565])])).
% 59.37/10.02  tff(f69111,plain,(
% 59.37/10.02    sP112(rat) | (~spl2737_112 | ~spl2737_924)),
% 59.37/10.02    inference(resolution,[],[f68754,f64781])).
% 59.37/10.02  tff(f72060,plain,(
% 59.37/10.02    spl2737_1564 | ~spl2737_111 | ~spl2737_924),
% 59.37/10.02    inference(avatar_split_clause,[],[f69110,f68753,f64774,f72057])).
% 59.37/10.02  tff(f72057,plain,(
% 59.37/10.02    spl2737_1564 <=> sP112(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1564])])).
% 59.37/10.02  tff(f69110,plain,(
% 59.37/10.02    sP112(complex) | (~spl2737_111 | ~spl2737_924)),
% 59.37/10.02    inference(resolution,[],[f68754,f64776])).
% 59.37/10.02  tff(f72021,plain,(
% 59.37/10.02    spl2737_1563 | ~spl2737_113 | ~spl2737_923),
% 59.37/10.02    inference(avatar_split_clause,[],[f69109,f68749,f64784,f72018])).
% 59.37/10.02  tff(f72018,plain,(
% 59.37/10.02    spl2737_1563 <=> sP110(real)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1563])])).
% 59.37/10.02  tff(f68749,plain,(
% 59.37/10.02    spl2737_923 <=> ! [X0 : $tType] : (sP110(X0) | ~division_ring(X0))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_923])])).
% 59.37/10.02  tff(f69109,plain,(
% 59.37/10.02    sP110(real) | (~spl2737_113 | ~spl2737_923)),
% 59.37/10.02    inference(resolution,[],[f68750,f64786])).
% 59.37/10.02  tff(f68750,plain,(
% 59.37/10.02    ( ! [X0 : $tType] : (~division_ring(X0) | sP110(X0)) ) | ~spl2737_923),
% 59.37/10.02    inference(avatar_component_clause,[],[f68749])).
% 59.37/10.02  tff(f72009,plain,(
% 59.37/10.02    spl2737_1562 | ~spl2737_112 | ~spl2737_923),
% 59.37/10.02    inference(avatar_split_clause,[],[f69108,f68749,f64779,f72006])).
% 59.37/10.02  tff(f72006,plain,(
% 59.37/10.02    spl2737_1562 <=> sP110(rat)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1562])])).
% 59.37/10.02  tff(f69108,plain,(
% 59.37/10.02    sP110(rat) | (~spl2737_112 | ~spl2737_923)),
% 59.37/10.02    inference(resolution,[],[f68750,f64781])).
% 59.37/10.02  tff(f71991,plain,(
% 59.37/10.02    spl2737_1561 | ~spl2737_111 | ~spl2737_923),
% 59.37/10.02    inference(avatar_split_clause,[],[f69107,f68749,f64774,f71988])).
% 59.37/10.02  tff(f71988,plain,(
% 59.37/10.02    spl2737_1561 <=> sP110(complex)),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1561])])).
% 59.37/10.02  tff(f69107,plain,(
% 59.37/10.02    sP110(complex) | (~spl2737_111 | ~spl2737_923)),
% 59.37/10.02    inference(resolution,[],[f68750,f64776])).
% 59.37/10.02  tff(f71978,plain,(
% 59.37/10.02    spl2737_1560),
% 59.37/10.02    inference(avatar_split_clause,[],[f62476,f71976])).
% 59.37/10.02  tff(f71976,plain,(
% 59.37/10.02    spl2737_1560 <=> ! [X0 : $tType,X2 : fun(X0,fun(X0,X0)),X1 : X0,X3 : X0] : power2(X0,X1,X2,X3,size_num(one2)) = X1),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1560])])).
% 59.37/10.02  tff(f62476,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : fun(X0,fun(X0,X0)),X3 : X0,X1 : X0] : (power2(X0,X1,X2,X3,size_num(one2)) = X1) )),
% 59.37/10.02    inference(forward_demodulation,[],[f48982,f35397])).
% 59.37/10.02  tff(f48982,plain,(
% 59.37/10.02    ( ! [X0 : $tType,X2 : fun(X0,fun(X0,X0)),X3 : X0,X1 : X0] : (power2(X0,X1,X2,X3,zero_zero(nat)) = X1) )),
% 59.37/10.02    inference(cnf_transformation,[],[f17598])).
% 59.37/10.02  tff(f17598,plain,(
% 59.37/10.02    ! [X0 : $tType,X1 : X0,X2 : fun(X0,fun(X0,X0)),X3 : X0] : power2(X0,X1,X2,X3,zero_zero(nat)) = X1),
% 59.37/10.02    inference(rectify,[],[f1871])).
% 59.37/10.02  tff(f1871,axiom,(
% 59.37/10.02    ! [X0 : $tType,X146 : X0,X147 : fun(X0,fun(X0,X0)),X7 : X0] : power2(X0,X146,X147,X7,zero_zero(nat)) = X146),
% 59.37/10.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1870_power_Opower_Opower__0)).
% 59.37/10.02  tff(f71974,plain,(
% 59.37/10.02    spl2737_1559),
% 59.37/10.02    inference(avatar_split_clause,[],[f60130,f71972])).
% 59.37/10.02  tff(f71972,plain,(
% 59.37/10.02    spl2737_1559 <=> ! [X0 : real,X1 : real] : (im(imaginary_unit) = X1 | imaginary_unit != complex2(X0,X1))),
% 59.37/10.02    introduced(avatar_definition,[new_symbols(naming,[spl2737_1559])])).
% 59.37/10.02  tff(f60130,plain,(
% 59.37/10.02    ( ! [X0 : real,X1 : real] : (im(imaginary_unit) = X1 | imaginary_unit != complex2(X0,X1)) )),
% 59.37/10.02    inference(forward_demodulation,[],[f46316,f35393])).
% 59.37/10.02  tff(f46316,plain,(
% 59.37/10.02    ( ! [X0 : real,X1 : real] : (one_one(real) = X1 | imaginary_unit != complex2(X0,X1)) )),
% 59.37/10.02    inference(cnf_transformation,[],[f31994])).
% 59.37/10.02  tff(f31994,plain,(
% 59.37/10.02    ! [X0 : real,X1 : real] : ((imaginary_unit = complex2(X0,X1) | one_one(real) != X1 | zero_zero(real) != X0) & ((one_one(real) = X1 & zero_zero(real) = X0) | imaginary_unit != complex2(X0,X1)))),
% 59.37/10.03    inference(flattening,[],[f31993])).
% 59.37/10.03  tff(f31993,plain,(
% 59.37/10.03    ! [X0 : real,X1 : real] : ((imaginary_unit = complex2(X0,X1) | (one_one(real) != X1 | zero_zero(real) != X0)) & ((one_one(real) = X1 & zero_zero(real) = X0) | imaginary_unit != complex2(X0,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f16454])).
% 59.37/10.03  tff(f16454,plain,(
% 59.37/10.03    ! [X0 : real,X1 : real] : (imaginary_unit = complex2(X0,X1) <=> (one_one(real) = X1 & zero_zero(real) = X0))),
% 59.37/10.03    inference(rectify,[],[f3318])).
% 59.37/10.03  tff(f3318,axiom,(
% 59.37/10.03    ! [X14 : real,X15 : real] : (imaginary_unit = complex2(X14,X15) <=> (one_one(real) = X15 & zero_zero(real) = X14))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3317_Complex__eq__i)).
% 59.37/10.03  tff(f71970,plain,(
% 59.37/10.03    spl2737_1557 | spl2737_1558),
% 59.37/10.03    inference(avatar_split_clause,[],[f59874,f71967,f71964])).
% 59.37/10.03  tff(f71964,plain,(
% 59.37/10.03    spl2737_1557 <=> ! [X0 : bool,X1 : vEBT_VEBT] : ~sP326(X0,X1)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1557])])).
% 59.37/10.03  tff(f71967,plain,(
% 59.37/10.03    spl2737_1558 <=> accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_vebt_buildup(size_num(one2)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1558])])).
% 59.37/10.03  tff(f59874,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_vebt_buildup(size_num(one2))) | ~sP326(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f46129,f54029])).
% 59.37/10.03  tff(f46129,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fFalse,fFalse)) | ~sP326(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31812])).
% 59.37/10.03  tff(f31812,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fFalse,fFalse)) & pp(X0) & vEBT_Leaf(fFalse,fFalse) = X1) | ~sP326(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31811])).
% 59.37/10.03  tff(f31811,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fFalse,fFalse)) & pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP326(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27584])).
% 59.37/10.03  tff(f27584,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fFalse,fFalse)) & pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP326(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP326])])).
% 59.37/10.03  tff(f71962,plain,(
% 59.37/10.03    spl2737_1556),
% 59.37/10.03    inference(avatar_split_clause,[],[f58909,f71960])).
% 59.37/10.03  tff(f71960,plain,(
% 59.37/10.03    spl2737_1556 <=> ! [X1 : vEBT_VEBT] : (~sP310(size_num(one2),X1) | pp(sK1676(size_num(one2),X1)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1556])])).
% 59.37/10.03  tff(f58909,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (~sP310(size_num(one2),X1) | pp(sK1676(size_num(one2),X1))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f58908,f35397])).
% 59.37/10.03  tff(f58908,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1676(size_num(one2),X1)) | ~sP310(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53210,f35397])).
% 59.37/10.03  tff(f53210,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1676(zero_zero(nat),X1)) | ~sP310(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f45187])).
% 59.37/10.03  tff(f45187,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (pp(sK1676(X0,X1)) | zero_zero(nat) != X0 | ~sP310(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31409])).
% 59.37/10.03  tff(f71958,plain,(
% 59.37/10.03    spl2737_1555 | ~spl2737_113 | ~spl2737_922),
% 59.37/10.03    inference(avatar_split_clause,[],[f69106,f68745,f64784,f71955])).
% 59.37/10.03  tff(f71955,plain,(
% 59.37/10.03    spl2737_1555 <=> sP108(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1555])])).
% 59.37/10.03  tff(f68745,plain,(
% 59.37/10.03    spl2737_922 <=> ! [X0 : $tType] : (sP108(X0) | ~division_ring(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_922])])).
% 59.37/10.03  tff(f69106,plain,(
% 59.37/10.03    sP108(real) | (~spl2737_113 | ~spl2737_922)),
% 59.37/10.03    inference(resolution,[],[f68746,f64786])).
% 59.37/10.03  tff(f68746,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~division_ring(X0) | sP108(X0)) ) | ~spl2737_922),
% 59.37/10.03    inference(avatar_component_clause,[],[f68745])).
% 59.37/10.03  tff(f71953,plain,(
% 59.37/10.03    spl2737_1554),
% 59.37/10.03    inference(avatar_split_clause,[],[f58888,f71951])).
% 59.37/10.03  tff(f71951,plain,(
% 59.37/10.03    spl2737_1554 <=> ! [X1 : vEBT_VEBT] : (~sP308(size_num(one2),X1) | pp(sK1669(size_num(one2),X1)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1554])])).
% 59.37/10.03  tff(f58888,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (~sP308(size_num(one2),X1) | pp(sK1669(size_num(one2),X1))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f58887,f35397])).
% 59.37/10.03  tff(f58887,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1669(size_num(one2),X1)) | ~sP308(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53207,f35397])).
% 59.37/10.03  tff(f53207,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1669(zero_zero(nat),X1)) | ~sP308(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f45175])).
% 59.37/10.03  tff(f45175,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (pp(sK1669(X0,X1)) | zero_zero(nat) != X0 | ~sP308(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31398])).
% 59.37/10.03  tff(f71949,plain,(
% 59.37/10.03    spl2737_1553),
% 59.37/10.03    inference(avatar_split_clause,[],[f58508,f71947])).
% 59.37/10.03  tff(f71947,plain,(
% 59.37/10.03    spl2737_1553 <=> ! [X1 : vEBT_VEBT] : (~sP275(size_num(one2),X1) | pp(sK1537(size_num(one2),X1)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1553])])).
% 59.37/10.03  tff(f58508,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (~sP275(size_num(one2),X1) | pp(sK1537(size_num(one2),X1))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f58507,f35397])).
% 59.37/10.03  tff(f58507,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1537(size_num(one2),X1)) | ~sP275(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53182,f35397])).
% 59.37/10.03  tff(f53182,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1537(zero_zero(nat),X1)) | ~sP275(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f44918])).
% 59.37/10.03  tff(f44918,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (pp(sK1537(X0,X1)) | zero_zero(nat) != X0 | ~sP275(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31221])).
% 59.37/10.03  tff(f71945,plain,(
% 59.37/10.03    spl2737_1552),
% 59.37/10.03    inference(avatar_split_clause,[],[f58490,f71943])).
% 59.37/10.03  tff(f71943,plain,(
% 59.37/10.03    spl2737_1552 <=> ! [X1 : vEBT_VEBT] : (~sP274(size_num(one2),X1) | pp(sK1531(size_num(one2),X1)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1552])])).
% 59.37/10.03  tff(f58490,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (~sP274(size_num(one2),X1) | pp(sK1531(size_num(one2),X1))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f58489,f35397])).
% 59.37/10.03  tff(f58489,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1531(size_num(one2),X1)) | ~sP274(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53179,f35397])).
% 59.37/10.03  tff(f53179,plain,(
% 59.37/10.03    ( ! [X1 : vEBT_VEBT] : (pp(sK1531(zero_zero(nat),X1)) | ~sP274(zero_zero(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f44909])).
% 59.37/10.03  tff(f44909,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (pp(sK1531(X0,X1)) | zero_zero(nat) != X0 | ~sP274(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31212])).
% 59.37/10.03  tff(f71941,plain,(
% 59.37/10.03    spl2737_1551),
% 59.37/10.03    inference(avatar_split_clause,[],[f57487,f71939])).
% 59.37/10.03  tff(f71939,plain,(
% 59.37/10.03    spl2737_1551 <=> ! [X0 : $tType,X1 : list(X0)] : nil(X0) = take(X0,size_num(one2),X1)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1551])])).
% 59.37/10.03  tff(f57487,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = take(X0,size_num(one2),X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f43531,f35397])).
% 59.37/10.03  tff(f43531,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = take(X0,zero_zero(nat),X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14714])).
% 59.37/10.03  tff(f14714,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0)] : nil(X0) = take(X0,zero_zero(nat),X1)),
% 59.37/10.03    inference(rectify,[],[f5052])).
% 59.37/10.03  tff(f5052,axiom,(
% 59.37/10.03    ! [X0 : $tType,X123 : list(X0)] : nil(X0) = take(X0,zero_zero(nat),X123)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5051_take__0)).
% 59.37/10.03  tff(f71936,plain,(
% 59.37/10.03    spl2737_1550),
% 59.37/10.03    inference(avatar_split_clause,[],[f57186,f71933])).
% 59.37/10.03  tff(f71933,plain,(
% 59.37/10.03    spl2737_1550 <=> pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),size_num(one2)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1550])])).
% 59.37/10.03  tff(f57186,plain,(
% 59.37/10.03    pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),size_num(one2)))),
% 59.37/10.03    inference(forward_demodulation,[],[f53085,f35397])).
% 59.37/10.03  tff(f53085,plain,(
% 59.37/10.03    pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),zero_zero(nat)))),
% 59.37/10.03    inference(equality_resolution,[],[f43299])).
% 59.37/10.03  tff(f43299,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (pp(case_nat(bool,fTrue,aTP_Lamp_kb(nat,bool),X0)) | zero_zero(nat) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30569])).
% 59.37/10.03  tff(f71930,plain,(
% 59.37/10.03    ~spl2737_1549),
% 59.37/10.03    inference(avatar_split_clause,[],[f57178,f71927])).
% 59.37/10.03  tff(f71927,plain,(
% 59.37/10.03    spl2737_1549 <=> pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),size_num(one2)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1549])])).
% 59.37/10.03  tff(f57178,plain,(
% 59.37/10.03    ~pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),size_num(one2)))),
% 59.37/10.03    inference(forward_demodulation,[],[f53080,f35397])).
% 59.37/10.03  tff(f53080,plain,(
% 59.37/10.03    ~pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),zero_zero(nat)))),
% 59.37/10.03    inference(equality_resolution,[],[f43291])).
% 59.37/10.03  tff(f43291,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (zero_zero(nat) != X0 | ~pp(case_nat(bool,fFalse,aTP_Lamp_kc(nat,bool),X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30564])).
% 59.37/10.03  tff(f71925,plain,(
% 59.37/10.03    spl2737_1548),
% 59.37/10.03    inference(avatar_split_clause,[],[f56185,f71923])).
% 59.37/10.03  tff(f71923,plain,(
% 59.37/10.03    spl2737_1548 <=> ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,size_num(one2)) | ~semiring_char_0(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1548])])).
% 59.37/10.03  tff(f56185,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,size_num(one2)) | ~semiring_char_0(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f41448,f35397])).
% 59.37/10.03  tff(f41448,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,zero_zero(nat)) | ~semiring_char_0(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21914])).
% 59.37/10.03  tff(f21914,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,zero_zero(nat)) | ~semiring_char_0(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f1643])).
% 59.37/10.03  tff(f1643,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semiring_char_0(X0) => one_one(X0) = semiring_char_0_fact(X0,zero_zero(nat)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1642_fact__0)).
% 59.37/10.03  tff(f71921,plain,(
% 59.37/10.03    spl2737_1547),
% 59.37/10.03    inference(avatar_split_clause,[],[f56184,f71919])).
% 59.37/10.03  tff(f71919,plain,(
% 59.37/10.03    spl2737_1547 <=> ! [X0 : $tType] : (size_num(one2) = semiri4206861660011772517g_char(X0,type2(X0)) | ~semiring_char_0(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1547])])).
% 59.37/10.03  tff(f56184,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (size_num(one2) = semiri4206861660011772517g_char(X0,type2(X0)) | ~semiring_char_0(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f41446,f35397])).
% 59.37/10.03  tff(f41446,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(nat) = semiri4206861660011772517g_char(X0,type2(X0)) | ~semiring_char_0(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21912])).
% 59.37/10.03  tff(f21912,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(nat) = semiri4206861660011772517g_char(X0,type2(X0)) | ~semiring_char_0(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f6868])).
% 59.37/10.03  tff(f6868,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semiring_char_0(X0) => zero_zero(nat) = semiri4206861660011772517g_char(X0,type2(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6867_CHAR__eq__0)).
% 59.37/10.03  tff(f71917,plain,(
% 59.37/10.03    spl2737_1546),
% 59.37/10.03    inference(avatar_split_clause,[],[f55602,f71915])).
% 59.37/10.03  tff(f71915,plain,(
% 59.37/10.03    spl2737_1546 <=> ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,one_one(nat)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1546])])).
% 59.37/10.03  tff(f55602,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,one_one(nat)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f55601,f54053])).
% 59.37/10.03  tff(f55601,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,size_num(one2))) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f39851,f35397])).
% 59.37/10.03  tff(f39851,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,zero_zero(nat))) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20685])).
% 59.37/10.03  tff(f20685,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,zero_zero(nat))) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f3258])).
% 59.37/10.03  tff(f3258,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => one_one(X0) = bit_se2239418461657761734s_mask(X0,aa(nat,nat,suc,zero_zero(nat))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3257_mask__Suc__0)).
% 59.37/10.03  tff(f71913,plain,(
% 59.37/10.03    spl2737_1545),
% 59.37/10.03    inference(avatar_split_clause,[],[f55598,f71911])).
% 59.37/10.03  tff(f71911,plain,(
% 59.37/10.03    spl2737_1545 <=> ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,size_num(one2)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1545])])).
% 59.37/10.03  tff(f55598,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,size_num(one2)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f39848,f35397])).
% 59.37/10.03  tff(f39848,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20682])).
% 59.37/10.03  tff(f20682,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(X0) = bit_se2239418461657761734s_mask(X0,zero_zero(nat)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f3249])).
% 59.37/10.03  tff(f3249,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => zero_zero(X0) = bit_se2239418461657761734s_mask(X0,zero_zero(nat)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3248_mask__0)).
% 59.37/10.03  tff(f71909,plain,(
% 59.37/10.03    spl2737_1544 | ~spl2737_112 | ~spl2737_922),
% 59.37/10.03    inference(avatar_split_clause,[],[f69105,f68745,f64779,f71906])).
% 59.37/10.03  tff(f71906,plain,(
% 59.37/10.03    spl2737_1544 <=> sP108(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1544])])).
% 59.37/10.03  tff(f69105,plain,(
% 59.37/10.03    sP108(rat) | (~spl2737_112 | ~spl2737_922)),
% 59.37/10.03    inference(resolution,[],[f68746,f64781])).
% 59.37/10.03  tff(f71904,plain,(
% 59.37/10.03    spl2737_1543),
% 59.37/10.03    inference(avatar_split_clause,[],[f55053,f71902])).
% 59.37/10.03  tff(f71902,plain,(
% 59.37/10.03    spl2737_1543 <=> ! [X0 : $tType,X1 : X0] : (real_V8093663219630862766scaleR(X0,im(imaginary_unit),X1) = X1 | ~real_V4867850818363320053vector(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1543])])).
% 59.37/10.03  tff(f55053,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (real_V8093663219630862766scaleR(X0,im(imaginary_unit),X1) = X1 | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f37054,f35393])).
% 59.37/10.03  tff(f37054,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (real_V8093663219630862766scaleR(X0,one_one(real),X1) = X1 | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18901])).
% 59.37/10.03  tff(f18901,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : real_V8093663219630862766scaleR(X0,one_one(real),X1) = X1 | ~real_V4867850818363320053vector(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f10922])).
% 59.37/10.03  tff(f10922,plain,(
% 59.37/10.03    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0] : real_V8093663219630862766scaleR(X0,one_one(real),X1) = X1)),
% 59.37/10.03    inference(rectify,[],[f3942])).
% 59.37/10.03  tff(f3942,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X14 : X0] : real_V8093663219630862766scaleR(X0,one_one(real),X14) = X14)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3941_scaleR__one)).
% 59.37/10.03  tff(f71900,plain,(
% 59.37/10.03    spl2737_1542),
% 59.37/10.03    inference(avatar_split_clause,[],[f54999,f71898])).
% 59.37/10.03  tff(f71898,plain,(
% 59.37/10.03    spl2737_1542 <=> ! [X0 : $tType] : (real_V7770717601297561774m_norm(X0,one_one(X0)) = im(imaginary_unit) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1542])])).
% 59.37/10.03  tff(f54999,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (real_V7770717601297561774m_norm(X0,one_one(X0)) = im(imaginary_unit) | ~real_V2822296259951069270ebra_1(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f36914,f35393])).
% 59.37/10.03  tff(f36914,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(real) = real_V7770717601297561774m_norm(X0,one_one(X0)) | ~real_V2822296259951069270ebra_1(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18776])).
% 59.37/10.03  tff(f18776,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(real) = real_V7770717601297561774m_norm(X0,one_one(X0)) | ~real_V2822296259951069270ebra_1(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f2062])).
% 59.37/10.03  tff(f2062,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (real_V2822296259951069270ebra_1(X0) => one_one(real) = real_V7770717601297561774m_norm(X0,one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2061_norm__one)).
% 59.37/10.03  tff(f71896,plain,(
% 59.37/10.03    spl2737_1541),
% 59.37/10.03    inference(avatar_split_clause,[],[f54989,f71894])).
% 59.37/10.03  tff(f71894,plain,(
% 59.37/10.03    spl2737_1541 <=> ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,im(imaginary_unit)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1541])])).
% 59.37/10.03  tff(f54989,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,im(imaginary_unit)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f36691,f35393])).
% 59.37/10.03  tff(f36691,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,one_one(real)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18622])).
% 59.37/10.03  tff(f18622,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = real_Vector_of_real(X0,one_one(real)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f2298])).
% 59.37/10.03  tff(f2298,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => one_one(X0) = real_Vector_of_real(X0,one_one(real)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2297_of__real__1)).
% 59.37/10.03  tff(f71892,plain,(
% 59.37/10.03    spl2737_1540),
% 59.37/10.03    inference(avatar_split_clause,[],[f54265,f71890])).
% 59.37/10.03  tff(f71890,plain,(
% 59.37/10.03    spl2737_1540 <=> ! [X0 : real] : aa(real,real,root(one_one(nat)),X0) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1540])])).
% 59.37/10.03  tff(f54265,plain,(
% 59.37/10.03    ( ! [X0 : real] : (aa(real,real,root(one_one(nat)),X0) = X0) )),
% 59.37/10.03    inference(forward_demodulation,[],[f54264,f54053])).
% 59.37/10.03  tff(f54264,plain,(
% 59.37/10.03    ( ! [X0 : real] : (aa(real,real,root(aa(nat,nat,suc,size_num(one2))),X0) = X0) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35878,f35397])).
% 59.37/10.03  tff(f35878,plain,(
% 59.37/10.03    ( ! [X0 : real] : (aa(real,real,root(aa(nat,nat,suc,zero_zero(nat))),X0) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f10043])).
% 59.37/10.03  tff(f10043,plain,(
% 59.37/10.03    ! [X0 : real] : aa(real,real,root(aa(nat,nat,suc,zero_zero(nat))),X0) = X0),
% 59.37/10.03    inference(rectify,[],[f1644])).
% 59.37/10.03  tff(f1644,axiom,(
% 59.37/10.03    ! [X14 : real] : aa(real,real,root(aa(nat,nat,suc,zero_zero(nat))),X14) = X14),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1643_real__root__Suc__0)).
% 59.37/10.03  tff(f71888,plain,(
% 59.37/10.03    spl2737_1539),
% 59.37/10.03    inference(avatar_split_clause,[],[f54223,f71886])).
% 59.37/10.03  tff(f71886,plain,(
% 59.37/10.03    spl2737_1539 <=> ! [X0 : real] : im(imaginary_unit) = real_V7770717601297561774m_norm(complex,rcis(im(imaginary_unit),X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1539])])).
% 59.37/10.03  tff(f54223,plain,(
% 59.37/10.03    ( ! [X0 : real] : (im(imaginary_unit) = real_V7770717601297561774m_norm(complex,rcis(im(imaginary_unit),X0))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f50576,f35393])).
% 59.37/10.03  tff(f50576,plain,(
% 59.37/10.03    ( ! [X0 : real] : (one_one(real) = real_V7770717601297561774m_norm(complex,rcis(one_one(real),X0))) )),
% 59.37/10.03    inference(definition_unfolding,[],[f35786,f35787])).
% 59.37/10.03  tff(f35786,plain,(
% 59.37/10.03    ( ! [X0 : real] : (one_one(real) = real_V7770717601297561774m_norm(complex,cis(X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9956])).
% 59.37/10.03  tff(f9956,plain,(
% 59.37/10.03    ! [X0 : real] : one_one(real) = real_V7770717601297561774m_norm(complex,cis(X0))),
% 59.37/10.03    inference(rectify,[],[f3251])).
% 59.37/10.03  tff(f3251,axiom,(
% 59.37/10.03    ! [X7 : real] : one_one(real) = real_V7770717601297561774m_norm(complex,cis(X7))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3250_norm__cis)).
% 59.37/10.03  tff(f71884,plain,(
% 59.37/10.03    spl2737_1538),
% 59.37/10.03    inference(avatar_split_clause,[],[f54057,f71881])).
% 59.37/10.03  tff(f71881,plain,(
% 59.37/10.03    spl2737_1538 <=> zero_zero(int) = aa(nat,int,code_T6385005292777649522of_nat,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1538])])).
% 59.37/10.03  tff(f71879,plain,(
% 59.37/10.03    spl2737_1537),
% 59.37/10.03    inference(avatar_split_clause,[],[f54055,f71876])).
% 59.37/10.03  tff(f71876,plain,(
% 59.37/10.03    spl2737_1537 <=> one_one(int) = aa(nat,int,code_T6385005292777649522of_nat,one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1537])])).
% 59.37/10.03  tff(f54055,plain,(
% 59.37/10.03    one_one(int) = aa(nat,int,code_T6385005292777649522of_nat,one_one(nat))),
% 59.37/10.03    inference(forward_demodulation,[],[f35481,f35405])).
% 59.37/10.03  tff(f35481,plain,(
% 59.37/10.03    one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f461])).
% 59.37/10.03  tff(f461,axiom,(
% 59.37/10.03    one_one(int) = aa(nat,int,semiring_1_of_nat(int),one_one(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_460_int__ops_I2_J)).
% 59.37/10.03  tff(f71874,plain,(
% 59.37/10.03    spl2737_1536),
% 59.37/10.03    inference(avatar_split_clause,[],[f54053,f71871])).
% 59.37/10.03  tff(f71869,plain,(
% 59.37/10.03    spl2737_1535),
% 59.37/10.03    inference(avatar_split_clause,[],[f54052,f71866])).
% 59.37/10.03  tff(f71866,plain,(
% 59.37/10.03    spl2737_1535 <=> top_top(set(nat)) = set_ord_atLeast(nat,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1535])])).
% 59.37/10.03  tff(f54052,plain,(
% 59.37/10.03    top_top(set(nat)) = set_ord_atLeast(nat,size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35473,f35397])).
% 59.37/10.03  tff(f35473,plain,(
% 59.37/10.03    top_top(set(nat)) = set_ord_atLeast(nat,zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f6962])).
% 59.37/10.03  tff(f6962,axiom,(
% 59.37/10.03    top_top(set(nat)) = set_ord_atLeast(nat,zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6961_atLeast__0)).
% 59.37/10.03  tff(f71864,plain,(
% 59.37/10.03    spl2737_1534),
% 59.37/10.03    inference(avatar_split_clause,[],[f54051,f71861])).
% 59.37/10.03  tff(f71861,plain,(
% 59.37/10.03    spl2737_1534 <=> bot_bot(set(nat)) = set_ord_lessThan(nat,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1534])])).
% 59.37/10.03  tff(f54051,plain,(
% 59.37/10.03    bot_bot(set(nat)) = set_ord_lessThan(nat,size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35472,f35397])).
% 59.37/10.03  tff(f35472,plain,(
% 59.37/10.03    bot_bot(set(nat)) = set_ord_lessThan(nat,zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f3822])).
% 59.37/10.03  tff(f3822,axiom,(
% 59.37/10.03    bot_bot(set(nat)) = set_ord_lessThan(nat,zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3821_lessThan__0)).
% 59.37/10.03  tff(f71859,plain,(
% 59.37/10.03    spl2737_1533 | ~spl2737_111 | ~spl2737_922),
% 59.37/10.03    inference(avatar_split_clause,[],[f69104,f68745,f64774,f71856])).
% 59.37/10.03  tff(f71856,plain,(
% 59.37/10.03    spl2737_1533 <=> sP108(complex)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1533])])).
% 59.37/10.03  tff(f69104,plain,(
% 59.37/10.03    sP108(complex) | (~spl2737_111 | ~spl2737_922)),
% 59.37/10.03    inference(resolution,[],[f68746,f64776])).
% 59.37/10.03  tff(f71854,plain,(
% 59.37/10.03    spl2737_1532),
% 59.37/10.03    inference(avatar_split_clause,[],[f54050,f71851])).
% 59.37/10.03  tff(f71851,plain,(
% 59.37/10.03    spl2737_1532 <=> aa(int,nat,nat2,zero_zero(int)) = size_num(one2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1532])])).
% 59.37/10.03  tff(f54050,plain,(
% 59.37/10.03    aa(int,nat,nat2,zero_zero(int)) = size_num(one2)),
% 59.37/10.03    inference(forward_demodulation,[],[f35471,f35397])).
% 59.37/10.03  tff(f35471,plain,(
% 59.37/10.03    zero_zero(nat) = aa(int,nat,nat2,zero_zero(int))),
% 59.37/10.03    inference(cnf_transformation,[],[f395])).
% 59.37/10.03  tff(f395,axiom,(
% 59.37/10.03    zero_zero(nat) = aa(int,nat,nat2,zero_zero(int))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_394_nat__zero__as__int)).
% 59.37/10.03  tff(f71849,plain,(
% 59.37/10.03    spl2737_1531),
% 59.37/10.03    inference(avatar_split_clause,[],[f54049,f71846])).
% 59.37/10.03  tff(f71846,plain,(
% 59.37/10.03    spl2737_1531 <=> aa(num,nat,size_size(num),one2) = size_num(one2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1531])])).
% 59.37/10.03  tff(f54049,plain,(
% 59.37/10.03    aa(num,nat,size_size(num),one2) = size_num(one2)),
% 59.37/10.03    inference(forward_demodulation,[],[f35470,f35397])).
% 59.37/10.03  tff(f35470,plain,(
% 59.37/10.03    zero_zero(nat) = aa(num,nat,size_size(num),one2)),
% 59.37/10.03    inference(cnf_transformation,[],[f2590])).
% 59.37/10.03  tff(f2590,axiom,(
% 59.37/10.03    zero_zero(nat) = aa(num,nat,size_size(num),one2)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2589_num_Osize_I4_J)).
% 59.37/10.03  tff(f71843,plain,(
% 59.37/10.03    spl2737_1530),
% 59.37/10.03    inference(avatar_split_clause,[],[f54048,f71840])).
% 59.37/10.03  tff(f54048,plain,(
% 59.37/10.03    size_num(one2) = aa(code_integer,nat,code_nat_of_integer,zero_zero(code_integer))),
% 59.37/10.03    inference(forward_demodulation,[],[f35469,f35397])).
% 59.37/10.03  tff(f35469,plain,(
% 59.37/10.03    zero_zero(nat) = aa(code_integer,nat,code_nat_of_integer,zero_zero(code_integer))),
% 59.37/10.03    inference(cnf_transformation,[],[f4644])).
% 59.37/10.03  tff(f4644,axiom,(
% 59.37/10.03    zero_zero(nat) = aa(code_integer,nat,code_nat_of_integer,zero_zero(code_integer))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4643_nat__of__integer__code__post_I1_J)).
% 59.37/10.03  tff(f71838,plain,(
% 59.37/10.03    spl2737_1529),
% 59.37/10.03    inference(avatar_split_clause,[],[f54047,f71835])).
% 59.37/10.03  tff(f71835,plain,(
% 59.37/10.03    spl2737_1529 <=> size_num(one2) = aa(code_natural,nat,code_nat_of_natural,zero_zero(code_natural))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1529])])).
% 59.37/10.03  tff(f54047,plain,(
% 59.37/10.03    size_num(one2) = aa(code_natural,nat,code_nat_of_natural,zero_zero(code_natural))),
% 59.37/10.03    inference(forward_demodulation,[],[f35468,f35397])).
% 59.37/10.03  tff(f35468,plain,(
% 59.37/10.03    zero_zero(nat) = aa(code_natural,nat,code_nat_of_natural,zero_zero(code_natural))),
% 59.37/10.03    inference(cnf_transformation,[],[f7912])).
% 59.37/10.03  tff(f7912,axiom,(
% 59.37/10.03    zero_zero(nat) = aa(code_natural,nat,code_nat_of_natural,zero_zero(code_natural))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7911_zero__natural_Orep__eq)).
% 59.37/10.03  tff(f71833,plain,(
% 59.37/10.03    spl2737_1528),
% 59.37/10.03    inference(avatar_split_clause,[],[f54046,f71830])).
% 59.37/10.03  tff(f71830,plain,(
% 59.37/10.03    spl2737_1528 <=> zero_zero(real) = aa(real,real,arccos,im(imaginary_unit))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1528])])).
% 59.37/10.03  tff(f54046,plain,(
% 59.37/10.03    zero_zero(real) = aa(real,real,arccos,im(imaginary_unit))),
% 59.37/10.03    inference(forward_demodulation,[],[f35466,f35393])).
% 59.37/10.03  tff(f35466,plain,(
% 59.37/10.03    zero_zero(real) = aa(real,real,arccos,one_one(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f3074])).
% 59.37/10.03  tff(f3074,axiom,(
% 59.37/10.03    zero_zero(real) = aa(real,real,arccos,one_one(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3073_arccos__1)).
% 59.37/10.03  tff(f71828,plain,(
% 59.37/10.03    spl2737_1527),
% 59.37/10.03    inference(avatar_split_clause,[],[f54045,f71825])).
% 59.37/10.03  tff(f71825,plain,(
% 59.37/10.03    spl2737_1527 <=> zero_zero(code_integer) = aa(nat,code_integer,code_integer_of_nat,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1527])])).
% 59.37/10.03  tff(f54045,plain,(
% 59.37/10.03    zero_zero(code_integer) = aa(nat,code_integer,code_integer_of_nat,size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35464,f35397])).
% 59.37/10.03  tff(f35464,plain,(
% 59.37/10.03    zero_zero(code_integer) = aa(nat,code_integer,code_integer_of_nat,zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7165])).
% 59.37/10.03  tff(f7165,axiom,(
% 59.37/10.03    zero_zero(code_integer) = aa(nat,code_integer,code_integer_of_nat,zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7164_integer__of__nat__0)).
% 59.37/10.03  tff(f71823,plain,(
% 59.37/10.03    spl2737_1526),
% 59.37/10.03    inference(avatar_split_clause,[],[f54044,f71820])).
% 59.37/10.03  tff(f71820,plain,(
% 59.37/10.03    spl2737_1526 <=> zero_zero(code_natural) = aa(nat,code_natural,code_natural_of_nat,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1526])])).
% 59.37/10.03  tff(f54044,plain,(
% 59.37/10.03    zero_zero(code_natural) = aa(nat,code_natural,code_natural_of_nat,size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35462,f35397])).
% 59.37/10.03  tff(f35462,plain,(
% 59.37/10.03    zero_zero(code_natural) = aa(nat,code_natural,code_natural_of_nat,zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7938])).
% 59.37/10.03  tff(f7938,axiom,(
% 59.37/10.03    zero_zero(code_natural) = aa(nat,code_natural,code_natural_of_nat,zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7937_zero__natural__def)).
% 59.37/10.03  tff(f71817,plain,(
% 59.37/10.03    spl2737_1525),
% 59.37/10.03    inference(avatar_split_clause,[],[f54042,f71814])).
% 59.37/10.03  tff(f54042,plain,(
% 59.37/10.03    one_one(nat) = aa(code_integer,nat,code_nat_of_integer,code_integer_of_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35459,f35392])).
% 59.37/10.03  tff(f35459,plain,(
% 59.37/10.03    one_one(nat) = aa(code_integer,nat,code_nat_of_integer,one_one(code_integer))),
% 59.37/10.03    inference(cnf_transformation,[],[f4648])).
% 59.37/10.03  tff(f4648,axiom,(
% 59.37/10.03    one_one(nat) = aa(code_integer,nat,code_nat_of_integer,one_one(code_integer))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4647_nat__of__integer__code__post_I2_J)).
% 59.37/10.03  tff(f71812,plain,(
% 59.37/10.03    spl2737_1524),
% 59.37/10.03    inference(avatar_split_clause,[],[f54041,f71809])).
% 59.37/10.03  tff(f71809,plain,(
% 59.37/10.03    spl2737_1524 <=> one_one(int) = aa(code_integer,int,code_int_of_integer,code_integer_of_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1524])])).
% 59.37/10.03  tff(f54041,plain,(
% 59.37/10.03    one_one(int) = aa(code_integer,int,code_int_of_integer,code_integer_of_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35457,f35392])).
% 59.37/10.03  tff(f35457,plain,(
% 59.37/10.03    one_one(int) = aa(code_integer,int,code_int_of_integer,one_one(code_integer))),
% 59.37/10.03    inference(cnf_transformation,[],[f4693])).
% 59.37/10.03  tff(f4693,axiom,(
% 59.37/10.03    one_one(int) = aa(code_integer,int,code_int_of_integer,one_one(code_integer))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4692_one__integer_Orep__eq)).
% 59.37/10.03  tff(f71807,plain,(
% 59.37/10.03    spl2737_1523),
% 59.37/10.03    inference(avatar_split_clause,[],[f54040,f71804])).
% 59.37/10.03  tff(f71804,plain,(
% 59.37/10.03    spl2737_1523 <=> im(imaginary_unit) = aa(nat,real,cos_coeff,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1523])])).
% 59.37/10.03  tff(f54040,plain,(
% 59.37/10.03    im(imaginary_unit) = aa(nat,real,cos_coeff,size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f54039,f35393])).
% 59.37/10.03  tff(f54039,plain,(
% 59.37/10.03    one_one(real) = aa(nat,real,cos_coeff,size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35456,f35397])).
% 59.37/10.03  tff(f35456,plain,(
% 59.37/10.03    one_one(real) = aa(nat,real,cos_coeff,zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f3076])).
% 59.37/10.03  tff(f3076,axiom,(
% 59.37/10.03    one_one(real) = aa(nat,real,cos_coeff,zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3075_cos__coeff__0)).
% 59.37/10.03  tff(f71802,plain,(
% 59.37/10.03    spl2737_1522 | ~spl2737_113 | ~spl2737_921),
% 59.37/10.03    inference(avatar_split_clause,[],[f69103,f68741,f64784,f71799])).
% 59.37/10.03  tff(f71799,plain,(
% 59.37/10.03    spl2737_1522 <=> sP106(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1522])])).
% 59.37/10.03  tff(f68741,plain,(
% 59.37/10.03    spl2737_921 <=> ! [X0 : $tType] : (sP106(X0) | ~division_ring(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_921])])).
% 59.37/10.03  tff(f69103,plain,(
% 59.37/10.03    sP106(real) | (~spl2737_113 | ~spl2737_921)),
% 59.37/10.03    inference(resolution,[],[f68742,f64786])).
% 59.37/10.03  tff(f68742,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~division_ring(X0) | sP106(X0)) ) | ~spl2737_921),
% 59.37/10.03    inference(avatar_component_clause,[],[f68741])).
% 59.37/10.03  tff(f71797,plain,(
% 59.37/10.03    spl2737_1521),
% 59.37/10.03    inference(avatar_split_clause,[],[f54038,f71794])).
% 59.37/10.03  tff(f71794,plain,(
% 59.37/10.03    spl2737_1521 <=> im(imaginary_unit) = aa(real,real,sqrt,im(imaginary_unit))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1521])])).
% 59.37/10.03  tff(f54038,plain,(
% 59.37/10.03    im(imaginary_unit) = aa(real,real,sqrt,im(imaginary_unit))),
% 59.37/10.03    inference(forward_demodulation,[],[f35455,f35393])).
% 59.37/10.03  tff(f35455,plain,(
% 59.37/10.03    one_one(real) = aa(real,real,sqrt,one_one(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f3184])).
% 59.37/10.03  tff(f3184,axiom,(
% 59.37/10.03    one_one(real) = aa(real,real,sqrt,one_one(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3183_real__sqrt__one)).
% 59.37/10.03  tff(f71792,plain,(
% 59.37/10.03    spl2737_1520),
% 59.37/10.03    inference(avatar_split_clause,[],[f54037,f71789])).
% 59.37/10.03  tff(f71789,plain,(
% 59.37/10.03    spl2737_1520 <=> im(imaginary_unit) = aa(rat,real,ratreal,one_one(rat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1520])])).
% 59.37/10.03  tff(f54037,plain,(
% 59.37/10.03    im(imaginary_unit) = aa(rat,real,ratreal,one_one(rat))),
% 59.37/10.03    inference(forward_demodulation,[],[f35454,f35393])).
% 59.37/10.03  tff(f35454,plain,(
% 59.37/10.03    one_one(real) = aa(rat,real,ratreal,one_one(rat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7805])).
% 59.37/10.03  tff(f7805,axiom,(
% 59.37/10.03    one_one(real) = aa(rat,real,ratreal,one_one(rat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7804_one__real__code)).
% 59.37/10.03  tff(f71787,plain,(
% 59.37/10.03    spl2737_1519),
% 59.37/10.03    inference(avatar_split_clause,[],[f54036,f71784])).
% 59.37/10.03  tff(f71784,plain,(
% 59.37/10.03    spl2737_1519 <=> code_integer_of_num(one2) = aa(nat,code_integer,code_integer_of_nat,one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1519])])).
% 59.37/10.03  tff(f54036,plain,(
% 59.37/10.03    code_integer_of_num(one2) = aa(nat,code_integer,code_integer_of_nat,one_one(nat))),
% 59.37/10.03    inference(forward_demodulation,[],[f35453,f35392])).
% 59.37/10.03  tff(f35453,plain,(
% 59.37/10.03    one_one(code_integer) = aa(nat,code_integer,code_integer_of_nat,one_one(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7168])).
% 59.37/10.03  tff(f7168,axiom,(
% 59.37/10.03    one_one(code_integer) = aa(nat,code_integer,code_integer_of_nat,one_one(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7167_integer__of__nat__1)).
% 59.37/10.03  tff(f71782,plain,(
% 59.37/10.03    spl2737_1518),
% 59.37/10.03    inference(avatar_split_clause,[],[f54035,f71779])).
% 59.37/10.03  tff(f71779,plain,(
% 59.37/10.03    spl2737_1518 <=> aa(int,code_integer,code_integer_of_int,one_one(int)) = code_integer_of_num(one2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1518])])).
% 59.37/10.03  tff(f54035,plain,(
% 59.37/10.03    aa(int,code_integer,code_integer_of_int,one_one(int)) = code_integer_of_num(one2)),
% 59.37/10.03    inference(forward_demodulation,[],[f35452,f35392])).
% 59.37/10.03  tff(f35452,plain,(
% 59.37/10.03    one_one(code_integer) = aa(int,code_integer,code_integer_of_int,one_one(int))),
% 59.37/10.03    inference(cnf_transformation,[],[f4408])).
% 59.37/10.03  tff(f4408,axiom,(
% 59.37/10.03    one_one(code_integer) = aa(int,code_integer,code_integer_of_int,one_one(int))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4407_one__integer__def)).
% 59.37/10.03  tff(f71777,plain,(
% 59.37/10.03    spl2737_1517),
% 59.37/10.03    inference(avatar_split_clause,[],[f54034,f71774])).
% 59.37/10.03  tff(f71774,plain,(
% 59.37/10.03    spl2737_1517 <=> nat_prod_decode = nat_prod_decode_aux(size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1517])])).
% 59.37/10.03  tff(f54034,plain,(
% 59.37/10.03    nat_prod_decode = nat_prod_decode_aux(size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35443,f35397])).
% 59.37/10.03  tff(f35443,plain,(
% 59.37/10.03    nat_prod_decode = nat_prod_decode_aux(zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7118])).
% 59.37/10.03  tff(f7118,axiom,(
% 59.37/10.03    nat_prod_decode = nat_prod_decode_aux(zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7117_prod__decode__def)).
% 59.37/10.03  tff(f71772,plain,(
% 59.37/10.03    spl2737_1516),
% 59.37/10.03    inference(avatar_split_clause,[],[f53721,f71770])).
% 59.37/10.03  tff(f71770,plain,(
% 59.37/10.03    spl2737_1516 <=> ! [X2 : bool,X1 : int,X3 : bool] : (sP493(X3,X1,X2,X1) | pp(X3) | pp(X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1516])])).
% 59.37/10.03  tff(f53721,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X1 : int] : (sP493(X3,X1,X2,X1) | pp(X3) | pp(X2)) )),
% 59.37/10.03    inference(equality_resolution,[],[f49148])).
% 59.37/10.03  tff(f49148,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : int,X1 : int] : (sP493(X3,X1,X2,X0) | pp(X3) | pp(X2) | X0 != X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33712])).
% 59.37/10.03  tff(f33712,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (sP493(X3,X1,X2,X0) | ((~pp(X3) | ~pp(X2)) & (pp(X3) | pp(X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(flattening,[],[f33711])).
% 59.37/10.03  tff(f33711,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (sP493(X3,X1,X2,X0) | (((~pp(X3) | ~pp(X2)) & (pp(X3) | pp(X2))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(nnf_transformation,[],[f27826])).
% 59.37/10.03  tff(f27826,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (sP493(X3,X1,X2,X0) | ((pp(X2) <~> pp(X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(definition_folding,[],[f26348,f27825])).
% 59.37/10.03  tff(f27825,plain,(
% 59.37/10.03    ! [X3 : bool,X1 : int,X2 : bool,X0 : int] : (((pp(X2) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> (pp(X3) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP493(X3,X1,X2,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP493])])).
% 59.37/10.03  tff(f26348,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (((pp(X2) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> (pp(X3) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ((pp(X2) <~> pp(X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(flattening,[],[f26347])).
% 59.37/10.03  tff(f26347,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : ((((pp(X2) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> (pp(X3) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ((pp(X2) <~> pp(X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | X0 != X1)),
% 59.37/10.03    inference(ennf_transformation,[],[f17729])).
% 59.37/10.03  tff(f17729,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (X0 = X1 => ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) => (pp(X2) <=> pp(X3))) => ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) => pp(X2)) <=> (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) => pp(X3)))))),
% 59.37/10.03    inference(rectify,[],[f761])).
% 59.37/10.03  tff(f761,axiom,(
% 59.37/10.03    ! [X14 : int,X117 : int,X17 : bool,X118 : bool] : (X14 = X117 => ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X117)) => (pp(X17) <=> pp(X118))) => ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X14)) => pp(X17)) <=> (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X117)) => pp(X118)))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_760_imp__le__cong)).
% 59.37/10.03  tff(f71768,plain,(
% 59.37/10.03    spl2737_1515),
% 59.37/10.03    inference(avatar_split_clause,[],[f53720,f71766])).
% 59.37/10.03  tff(f71766,plain,(
% 59.37/10.03    spl2737_1515 <=> ! [X2 : bool,X1 : int,X3 : bool] : (sP493(X3,X1,X2,X1) | ~pp(X3) | ~pp(X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1515])])).
% 59.37/10.03  tff(f53720,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X1 : int] : (sP493(X3,X1,X2,X1) | ~pp(X3) | ~pp(X2)) )),
% 59.37/10.03    inference(equality_resolution,[],[f49149])).
% 59.37/10.03  tff(f49149,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : int,X1 : int] : (sP493(X3,X1,X2,X0) | ~pp(X3) | ~pp(X2) | X0 != X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33712])).
% 59.37/10.03  tff(f71764,plain,(
% 59.37/10.03    spl2737_1514),
% 59.37/10.03    inference(avatar_split_clause,[],[f53718,f71762])).
% 59.37/10.03  tff(f71762,plain,(
% 59.37/10.03    spl2737_1514 <=> ! [X2 : bool,X1 : int,X3 : bool] : (sP492(X3,X1,X2,X1) | pp(X3) | pp(X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1514])])).
% 59.37/10.03  tff(f53718,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X1 : int] : (sP492(X3,X1,X2,X1) | pp(X3) | pp(X2)) )),
% 59.37/10.03    inference(equality_resolution,[],[f49141])).
% 59.37/10.03  tff(f49141,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : int,X1 : int] : (sP492(X3,X1,X2,X0) | pp(X3) | pp(X2) | X0 != X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33707])).
% 59.37/10.03  tff(f33707,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (sP492(X3,X1,X2,X0) | ((~pp(X3) | ~pp(X2)) & (pp(X3) | pp(X2)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(flattening,[],[f33706])).
% 59.37/10.03  tff(f33706,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (sP492(X3,X1,X2,X0) | (((~pp(X3) | ~pp(X2)) & (pp(X3) | pp(X2))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(nnf_transformation,[],[f27824])).
% 59.37/10.03  tff(f27824,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (sP492(X3,X1,X2,X0) | ((pp(X2) <~> pp(X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(definition_folding,[],[f26346,f27823])).
% 59.37/10.03  tff(f27823,plain,(
% 59.37/10.03    ! [X3 : bool,X1 : int,X2 : bool,X0 : int] : (((pp(X2) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> (pp(X3) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ~sP492(X3,X1,X2,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP492])])).
% 59.37/10.03  tff(f26346,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (((pp(X2) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> (pp(X3) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ((pp(X2) <~> pp(X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | X0 != X1)),
% 59.37/10.03    inference(flattening,[],[f26345])).
% 59.37/10.03  tff(f26345,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : ((((pp(X2) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> (pp(X3) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | ((pp(X2) <~> pp(X3)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))) | X0 != X1)),
% 59.37/10.03    inference(ennf_transformation,[],[f17728])).
% 59.37/10.03  tff(f17728,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : bool,X3 : bool] : (X0 = X1 => ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) => (pp(X2) <=> pp(X3))) => ((pp(X2) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) <=> (pp(X3) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))))))),
% 59.37/10.03    inference(rectify,[],[f760])).
% 59.37/10.03  tff(f760,axiom,(
% 59.37/10.03    ! [X14 : int,X117 : int,X17 : bool,X118 : bool] : (X14 = X117 => ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X117)) => (pp(X17) <=> pp(X118))) => ((pp(X17) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X14))) <=> (pp(X118) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X117))))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_759_conj__le__cong)).
% 59.37/10.03  tff(f71760,plain,(
% 59.37/10.03    spl2737_1513),
% 59.37/10.03    inference(avatar_split_clause,[],[f53717,f71758])).
% 59.37/10.03  tff(f71758,plain,(
% 59.37/10.03    spl2737_1513 <=> ! [X2 : bool,X1 : int,X3 : bool] : (sP492(X3,X1,X2,X1) | ~pp(X3) | ~pp(X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1513])])).
% 59.37/10.03  tff(f53717,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X1 : int] : (sP492(X3,X1,X2,X1) | ~pp(X3) | ~pp(X2)) )),
% 59.37/10.03    inference(equality_resolution,[],[f49142])).
% 59.37/10.03  tff(f49142,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : int,X1 : int] : (sP492(X3,X1,X2,X0) | ~pp(X3) | ~pp(X2) | X0 != X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33707])).
% 59.37/10.03  tff(f71756,plain,(
% 59.37/10.03    spl2737_1512),
% 59.37/10.03    inference(avatar_split_clause,[],[f53614,f71754])).
% 59.37/10.03  tff(f71754,plain,(
% 59.37/10.03    spl2737_1512 <=> ! [X0 : $tType,X1 : nat] : nil(X0) = take(X0,X1,nil(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1512])])).
% 59.37/10.03  tff(f53614,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : nat] : (nil(X0) = take(X0,X1,nil(X0))) )),
% 59.37/10.03    inference(equality_resolution,[],[f48491])).
% 59.37/10.03  tff(f48491,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : list(X0),X1 : nat] : (nil(X0) = take(X0,X1,X2) | nil(X0) != X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33319])).
% 59.37/10.03  tff(f71752,plain,(
% 59.37/10.03    spl2737_1511 | ~spl2737_112 | ~spl2737_921),
% 59.37/10.03    inference(avatar_split_clause,[],[f69102,f68741,f64779,f71749])).
% 59.37/10.03  tff(f71749,plain,(
% 59.37/10.03    spl2737_1511 <=> sP106(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1511])])).
% 59.37/10.03  tff(f69102,plain,(
% 59.37/10.03    sP106(rat) | (~spl2737_112 | ~spl2737_921)),
% 59.37/10.03    inference(resolution,[],[f68742,f64781])).
% 59.37/10.03  tff(f71747,plain,(
% 59.37/10.03    spl2737_1510),
% 59.37/10.03    inference(avatar_split_clause,[],[f53583,f71745])).
% 59.37/10.03  tff(f71745,plain,(
% 59.37/10.03    spl2737_1510 <=> ! [X3 : nat,X4 : list(vEBT_VEBT),X5 : bool,X2 : nat,X1 : nat] : (pp(X5) | ~sP454(X2,X1,X2,X3,X4,X5))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1510])])).
% 59.37/10.03  tff(f53583,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | ~sP454(X2,X1,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48242])).
% 59.37/10.03  tff(f48242,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (X0 != X2 | pp(X5) | ~sP454(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33068])).
% 59.37/10.03  tff(f71743,plain,(
% 59.37/10.03    spl2737_1509),
% 59.37/10.03    inference(avatar_split_clause,[],[f53582,f71741])).
% 59.37/10.03  tff(f71741,plain,(
% 59.37/10.03    spl2737_1509 <=> ! [X3 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : bool,X2 : nat] : (pp(X5) | ~sP454(X0,X2,X2,X3,X4,X5))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1509])])).
% 59.37/10.03  tff(f53582,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | ~sP454(X0,X2,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48243])).
% 59.37/10.03  tff(f48243,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (X1 != X2 | pp(X5) | ~sP454(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33068])).
% 59.37/10.03  tff(f71739,plain,(
% 59.37/10.03    spl2737_1508),
% 59.37/10.03    inference(avatar_split_clause,[],[f53576,f71737])).
% 59.37/10.03  tff(f71737,plain,(
% 59.37/10.03    spl2737_1508 <=> ! [X3 : nat,X4 : list(vEBT_VEBT),X5 : bool,X2 : nat,X1 : nat] : (pp(X5) | ~sP445(X2,X1,X2,X3,X4,X5))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1508])])).
% 59.37/10.03  tff(f53576,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | ~sP445(X2,X1,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48212])).
% 59.37/10.03  tff(f48212,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | X0 != X2 | ~sP445(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33041])).
% 59.37/10.03  tff(f71735,plain,(
% 59.37/10.03    spl2737_1507),
% 59.37/10.03    inference(avatar_split_clause,[],[f53575,f71733])).
% 59.37/10.03  tff(f71733,plain,(
% 59.37/10.03    spl2737_1507 <=> ! [X3 : nat,X4 : list(vEBT_VEBT),X0 : nat,X5 : bool,X2 : nat] : (pp(X5) | ~sP445(X0,X2,X2,X3,X4,X5))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1507])])).
% 59.37/10.03  tff(f53575,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | ~sP445(X0,X2,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48213])).
% 59.37/10.03  tff(f48213,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : nat,X1 : nat,X4 : list(vEBT_VEBT),X5 : bool] : (pp(X5) | X1 != X2 | ~sP445(X0,X1,X2,X3,X4,X5)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33041])).
% 59.37/10.03  tff(f71731,plain,(
% 59.37/10.03    spl2737_1506),
% 59.37/10.03    inference(avatar_split_clause,[],[f53100,f71728])).
% 59.37/10.03  tff(f53100,plain,(
% 59.37/10.03    pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),zero_zero(rat))))),
% 59.37/10.03    inference(equality_resolution,[],[f43355])).
% 59.37/10.03  tff(f43355,plain,(
% 59.37/10.03    ( ! [X0 : rat] : (pp(vanishes(aTP_Lamp_mt(rat,fun(nat,rat),X0))) | zero_zero(rat) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30619])).
% 59.37/10.03  tff(f71726,plain,(
% 59.37/10.03    spl2737_1505),
% 59.37/10.03    inference(avatar_split_clause,[],[f52557,f71724])).
% 59.37/10.03  tff(f71724,plain,(
% 59.37/10.03    spl2737_1505 <=> ! [X0 : $tType] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1505])])).
% 59.37/10.03  tff(f52557,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.03    inference(equality_resolution,[],[f36793])).
% 59.37/10.03  tff(f36793,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,X1) | zero_zero(X0) != X1 | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28140])).
% 59.37/10.03  tff(f71722,plain,(
% 59.37/10.03    spl2737_1504),
% 59.37/10.03    inference(avatar_split_clause,[],[f50169,f71720])).
% 59.37/10.03  tff(f71720,plain,(
% 59.37/10.03    spl2737_1504 <=> ! [X3 : vEBT_VEBT,X4 : bool,X0 : option(product_prod(nat,nat)),X5 : bool,X2 : list(vEBT_VEBT),X1 : nat] : vEBT_Node(X0,X1,X2,X3) != vEBT_Leaf(X4,X5)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1504])])).
% 59.37/10.03  tff(f50169,plain,(
% 59.37/10.03    ( ! [X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : nat,X4 : bool,X5 : bool] : (vEBT_Node(X0,X1,X2,X3) != vEBT_Leaf(X4,X5)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18176])).
% 59.37/10.03  tff(f18176,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : nat,X2 : list(vEBT_VEBT),X3 : vEBT_VEBT,X4 : bool,X5 : bool] : vEBT_Node(X0,X1,X2,X3) != vEBT_Leaf(X4,X5)),
% 59.37/10.03    inference(rectify,[],[f358])).
% 59.37/10.03  tff(f358,axiom,(
% 59.37/10.03    ! [X76 : option(product_prod(nat,nat)),X77 : nat,X78 : list(vEBT_VEBT),X79 : vEBT_VEBT,X84 : bool,X85 : bool] : vEBT_Node(X76,X77,X78,X79) != vEBT_Leaf(X84,X85)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_357_VEBT_Odistinct_I1_J)).
% 59.37/10.03  tff(f71718,plain,(
% 59.37/10.03    spl2737_1503),
% 59.37/10.03    inference(avatar_split_clause,[],[f50011,f71716])).
% 59.37/10.03  tff(f71716,plain,(
% 59.37/10.03    spl2737_1503 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : nat,X2 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (X3 = X4 | ~sP538(X0,X1,X2,X3,X4))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1503])])).
% 59.37/10.03  tff(f50011,plain,(
% 59.37/10.03    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X4 : nat] : (X3 = X4 | ~sP538(X0,X1,X2,X3,X4)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34288])).
% 59.37/10.03  tff(f34288,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP538(X0,X1,X2,X3,X4) | ~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | (~vEBT_VEBT_valid(sK2661(X2,X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2661(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X3 != X4) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X3 = X4) | ~sP538(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2661])],[f34286,f34287])).
% 59.37/10.03  tff(f34287,plain,(
% 59.37/10.03    ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (~vEBT_VEBT_valid(sK2661(X2,X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2661(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f34286,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP538(X0,X1,X2,X3,X4) | ~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X3 != X4) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X3 = X4) | ~sP538(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(rectify,[],[f34285])).
% 59.37/10.03  tff(f34285,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat,X4 : nat] : ((sP538(X0,X3,X2,X1,X4) | ~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X1),X2),X3)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X1 != X4) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X1),X2),X3)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X1 = X4) | ~sP538(X0,X3,X2,X1,X4)))),
% 59.37/10.03    inference(flattening,[],[f34284])).
% 59.37/10.03  tff(f34284,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X3 : vEBT_VEBT,X2 : list(vEBT_VEBT),X1 : nat,X4 : nat] : ((sP538(X0,X3,X2,X1,X4) | (~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X1),X2),X3)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X1 != X4)) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X3))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X1),X2),X3)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X3,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X1),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X1 = X4) | ~sP538(X0,X3,X2,X1,X4)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27899])).
% 59.37/10.03  tff(f71714,plain,(
% 59.37/10.03    spl2737_1502),
% 59.37/10.03    inference(avatar_split_clause,[],[f49561,f71712])).
% 59.37/10.03  tff(f71712,plain,(
% 59.37/10.03    spl2737_1502 <=> ! [X1 : $tType,X0 : fun(X1,fun(X1,bool)),X3 : list(X1),X2 : list(X1)] : (sorted_wrt(X1,X0,X2) | ~sP524(X1,X0,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1502])])).
% 59.37/10.03  tff(f49561,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : fun(X1,fun(X1,bool))] : (sorted_wrt(X1,X0,X2) | ~sP524(X1,X0,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34023])).
% 59.37/10.03  tff(f34023,plain,(
% 59.37/10.03    ! [X0 : fun(X1,fun(X1,bool)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : ((sP524(X1,X0,X2,X3) | ((~pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,sK2582(X1,X0,X2,X3)),sK2583(X1,X0,X2,X3))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2583(X1,X0,X2,X3)),aa(list(X1),set(X1),set2(X1),X2)))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2582(X1,X0,X2,X3)),aa(list(X1),set(X1),set2(X1),X3)))) | ~sorted_wrt(X1,X0,X2) | ~sorted_wrt(X1,X0,X3)) & ((! [X6 : X1] : (! [X7 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,X6),X7)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X7),aa(list(X1),set(X1),set2(X1),X2)))) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),aa(list(X1),set(X1),set2(X1),X3)))) & sorted_wrt(X1,X0,X2) & sorted_wrt(X1,X0,X3)) | ~sP524(X1,X0,X2,X3)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2582,sK2583])],[f34020,f34022,f34021])).
% 59.37/10.03  tff(f34021,plain,(
% 59.37/10.03    ! [X1 : $tType,X0 : fun(X1,fun(X1,bool)),X2 : list(X1),X3 : list(X1)] : (? [X4 : X1] : (? [X5 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,X4),X5)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),aa(list(X1),set(X1),set2(X1),X2)))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),aa(list(X1),set(X1),set2(X1),X3)))) => (? [X5 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,sK2582(X1,X0,X2,X3)),X5)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),aa(list(X1),set(X1),set2(X1),X2)))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2582(X1,X0,X2,X3)),aa(list(X1),set(X1),set2(X1),X3)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f34022,plain,(
% 59.37/10.03    ! [X1 : $tType,X0 : fun(X1,fun(X1,bool)),X2 : list(X1),X3 : list(X1)] : (? [X5 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,sK2582(X1,X0,X2,X3)),X5)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),aa(list(X1),set(X1),set2(X1),X2)))) => (~pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,sK2582(X1,X0,X2,X3)),sK2583(X1,X0,X2,X3))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),sK2583(X1,X0,X2,X3)),aa(list(X1),set(X1),set2(X1),X2)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f34020,plain,(
% 59.37/10.03    ! [X0 : fun(X1,fun(X1,bool)),X1 : $tType,X2 : list(X1),X3 : list(X1)] : ((sP524(X1,X0,X2,X3) | ? [X4 : X1] : (? [X5 : X1] : (~pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,X4),X5)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),aa(list(X1),set(X1),set2(X1),X2)))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),aa(list(X1),set(X1),set2(X1),X3)))) | ~sorted_wrt(X1,X0,X2) | ~sorted_wrt(X1,X0,X3)) & ((! [X6 : X1] : (! [X7 : X1] : (pp(aa(X1,bool,aa(X1,fun(X1,bool),X0,X6),X7)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X7),aa(list(X1),set(X1),set2(X1),X2)))) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X6),aa(list(X1),set(X1),set2(X1),X3)))) & sorted_wrt(X1,X0,X2) & sorted_wrt(X1,X0,X3)) | ~sP524(X1,X0,X2,X3)))),
% 59.37/10.03    inference(rectify,[],[f34019])).
% 59.37/10.03  tff(f34019,plain,(
% 59.37/10.03    ! [X1 : fun(X0,fun(X0,bool)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : ((sP524(X0,X1,X3,X2) | ? [X4 : X0] : (? [X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X5)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X3)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~sorted_wrt(X0,X1,X3) | ~sorted_wrt(X0,X1,X2)) & ((! [X4 : X0] : (! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X3)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)) | ~sP524(X0,X1,X3,X2)))),
% 59.37/10.03    inference(flattening,[],[f34018])).
% 59.37/10.03  tff(f34018,plain,(
% 59.37/10.03    ! [X1 : fun(X0,fun(X0,bool)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : ((sP524(X0,X1,X3,X2) | (? [X4 : X0] : (? [X5 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X5)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X3)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~sorted_wrt(X0,X1,X3) | ~sorted_wrt(X0,X1,X2))) & ((! [X4 : X0] : (! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),X1,X4),X5)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X3)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) & sorted_wrt(X0,X1,X3) & sorted_wrt(X0,X1,X2)) | ~sP524(X0,X1,X3,X2)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27872])).
% 59.37/10.03  tff(f71710,plain,(
% 59.37/10.03    spl2737_1501),
% 59.37/10.03    inference(avatar_split_clause,[],[f49560,f71708])).
% 59.37/10.03  tff(f71708,plain,(
% 59.37/10.03    spl2737_1501 <=> ! [X1 : $tType,X0 : fun(X1,fun(X1,bool)),X3 : list(X1),X2 : list(X1)] : (sorted_wrt(X1,X0,X3) | ~sP524(X1,X0,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1501])])).
% 59.37/10.03  tff(f49560,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : list(X1),X3 : list(X1),X0 : fun(X1,fun(X1,bool))] : (sorted_wrt(X1,X0,X3) | ~sP524(X1,X0,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34023])).
% 59.37/10.03  tff(f71706,plain,(
% 59.37/10.03    spl2737_1500 | ~spl2737_111 | ~spl2737_921),
% 59.37/10.03    inference(avatar_split_clause,[],[f69101,f68741,f64774,f71703])).
% 59.37/10.03  tff(f71703,plain,(
% 59.37/10.03    spl2737_1500 <=> sP106(complex)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1500])])).
% 59.37/10.03  tff(f69101,plain,(
% 59.37/10.03    sP106(complex) | (~spl2737_111 | ~spl2737_921)),
% 59.37/10.03    inference(resolution,[],[f68742,f64776])).
% 59.37/10.03  tff(f71701,plain,(
% 59.37/10.03    spl2737_1499),
% 59.37/10.03    inference(avatar_split_clause,[],[f49553,f71699])).
% 59.37/10.03  tff(f71699,plain,(
% 59.37/10.03    spl2737_1499 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (pp(X1) | ~pp(X0) | ~sP523(X0,X1,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1499])])).
% 59.37/10.03  tff(f49553,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (pp(X1) | ~pp(X0) | ~sP523(X0,X1,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34016])).
% 59.37/10.03  tff(f71697,plain,(
% 59.37/10.03    spl2737_1498),
% 59.37/10.03    inference(avatar_split_clause,[],[f49552,f71695])).
% 59.37/10.03  tff(f71695,plain,(
% 59.37/10.03    spl2737_1498 <=> ! [X0 : bool,X3 : bool,X2 : bool,X1 : bool] : (pp(X0) | ~pp(X1) | ~sP523(X0,X1,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1498])])).
% 59.37/10.03  tff(f49552,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (pp(X0) | ~pp(X1) | ~sP523(X0,X1,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34016])).
% 59.37/10.03  tff(f71693,plain,(
% 59.37/10.03    spl2737_1497),
% 59.37/10.03    inference(avatar_split_clause,[],[f49551,f71691])).
% 59.37/10.03  tff(f71691,plain,(
% 59.37/10.03    spl2737_1497 <=> ! [X2 : bool,X0 : bool,X1 : bool,X3 : bool] : (pp(X3) | ~pp(X2) | ~sP523(X0,X1,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1497])])).
% 59.37/10.03  tff(f49551,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (pp(X3) | ~pp(X2) | ~sP523(X0,X1,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34016])).
% 59.37/10.03  tff(f71689,plain,(
% 59.37/10.03    spl2737_1496),
% 59.37/10.03    inference(avatar_split_clause,[],[f49550,f71687])).
% 59.37/10.03  tff(f71687,plain,(
% 59.37/10.03    spl2737_1496 <=> ! [X2 : bool,X0 : bool,X1 : bool,X3 : bool] : (pp(X2) | ~pp(X3) | ~sP523(X0,X1,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1496])])).
% 59.37/10.03  tff(f49550,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : bool,X1 : bool] : (pp(X2) | ~pp(X3) | ~sP523(X0,X1,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34016])).
% 59.37/10.03  tff(f71685,plain,(
% 59.37/10.03    spl2737_1495),
% 59.37/10.03    inference(avatar_split_clause,[],[f48450,f71683])).
% 59.37/10.03  tff(f71683,plain,(
% 59.37/10.03    spl2737_1495 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,append(X0,X1,X2)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1495])])).
% 59.37/10.03  tff(f48450,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,append(X0,X1,X2))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33281])).
% 59.37/10.03  tff(f33281,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((distinct(X0,append(X0,X1,X2)) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) | ~distinct(X0,X2) | ~distinct(X0,X1)) & ((bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) & distinct(X0,X2) & distinct(X0,X1)) | ~distinct(X0,append(X0,X1,X2))))),
% 59.37/10.03    inference(flattening,[],[f33280])).
% 59.37/10.03  tff(f33280,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((distinct(X0,append(X0,X1,X2)) | (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) | ~distinct(X0,X2) | ~distinct(X0,X1))) & ((bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) & distinct(X0,X2) & distinct(X0,X1)) | ~distinct(X0,append(X0,X1,X2))))),
% 59.37/10.03    inference(nnf_transformation,[],[f17441])).
% 59.37/10.03  tff(f17441,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (distinct(X0,append(X0,X1,X2)) <=> (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X1)),aa(list(X0),set(X0),set2(X0),X2)) & distinct(X0,X2) & distinct(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f5432])).
% 59.37/10.03  tff(f5432,axiom,(
% 59.37/10.03    ! [X0 : $tType,X123 : list(X0),X167 : list(X0)] : (distinct(X0,append(X0,X123,X167)) <=> (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X123)),aa(list(X0),set(X0),set2(X0),X167)) & distinct(X0,X167) & distinct(X0,X123)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5431_distinct__append)).
% 59.37/10.03  tff(f71681,plain,(
% 59.37/10.03    spl2737_1494),
% 59.37/10.03    inference(avatar_split_clause,[],[f48449,f71679])).
% 59.37/10.03  tff(f71679,plain,(
% 59.37/10.03    spl2737_1494 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X1) | ~distinct(X0,append(X0,X1,X2)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1494])])).
% 59.37/10.03  tff(f48449,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X1) | ~distinct(X0,append(X0,X1,X2))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33281])).
% 59.37/10.03  tff(f71677,plain,(
% 59.37/10.03    spl2737_1493),
% 59.37/10.03    inference(avatar_split_clause,[],[f48434,f71675])).
% 59.37/10.03  tff(f71675,plain,(
% 59.37/10.03    spl2737_1493 <=> ! [X2 : nat,X0 : bool,X1 : bool] : (one_one(nat) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1493])])).
% 59.37/10.03  tff(f48434,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : bool,X1 : bool] : (one_one(nat) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33268])).
% 59.37/10.03  tff(f33268,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : bool,X2 : nat] : ((vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2) | one_one(nat) != X2) & (one_one(nat) = X2 | ~vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2)))),
% 59.37/10.03    inference(nnf_transformation,[],[f17439])).
% 59.37/10.03  tff(f17439,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : bool,X2 : nat] : (vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2) <=> one_one(nat) = X2)),
% 59.37/10.03    inference(rectify,[],[f366])).
% 59.37/10.03  tff(f366,axiom,(
% 59.37/10.03    ! [X94 : bool,X95 : bool,X53 : nat] : (vEBT_VEBT_valid(vEBT_Leaf(X94,X95),X53) <=> one_one(nat) = X53)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_365_VEBT__internal_Ovalid_H_Osimps_I1_J)).
% 59.37/10.03  tff(f71673,plain,(
% 59.37/10.03    spl2737_1492),
% 59.37/10.03    inference(avatar_split_clause,[],[f48175,f71671])).
% 59.37/10.03  tff(f71671,plain,(
% 59.37/10.03    spl2737_1492 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (~pp(X0) | ~vEBT_VEBT_membermima(X2,X1) | ~sP439(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1492])])).
% 59.37/10.03  tff(f48175,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (~pp(X0) | ~vEBT_VEBT_membermima(X2,X1) | ~sP439(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32998])).
% 59.37/10.03  tff(f32998,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : (((~pp(X0) | ~vEBT_VEBT_membermima(X2,X1)) & (pp(X0) | vEBT_VEBT_membermima(X2,X1))) | ~sP439(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f32997])).
% 59.37/10.03  tff(f32997,plain,(
% 59.37/10.03    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : (((~pp(X2) | ~vEBT_VEBT_membermima(X0,X1)) & (pp(X2) | vEBT_VEBT_membermima(X0,X1))) | ~sP439(X2,X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27743])).
% 59.37/10.03  tff(f27743,plain,(
% 59.37/10.03    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : ((vEBT_VEBT_membermima(X0,X1) <~> pp(X2)) | ~sP439(X2,X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP439])])).
% 59.37/10.03  tff(f71669,plain,(
% 59.37/10.03    spl2737_1491),
% 59.37/10.03    inference(avatar_split_clause,[],[f48174,f71667])).
% 59.37/10.03  tff(f71667,plain,(
% 59.37/10.03    spl2737_1491 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (pp(X0) | vEBT_VEBT_membermima(X2,X1) | ~sP439(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1491])])).
% 59.37/10.03  tff(f48174,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (pp(X0) | vEBT_VEBT_membermima(X2,X1) | ~sP439(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32998])).
% 59.37/10.03  tff(f71665,plain,(
% 59.37/10.03    spl2737_1490),
% 59.37/10.03    inference(avatar_split_clause,[],[f48129,f71663])).
% 59.37/10.03  tff(f71663,plain,(
% 59.37/10.03    spl2737_1490 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : nat,X2 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (sP423(X0,X1,X2,X3,X4) | X3 = X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1490])])).
% 59.37/10.03  tff(f48129,plain,(
% 59.37/10.03    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X4 : nat] : (sP423(X0,X1,X2,X3,X4) | X3 = X4) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32952])).
% 59.37/10.03  tff(f32952,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP423(X0,X1,X2,X3,X4) | (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X3 = X4)) & (~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | (~vEBT_VEBT_valid(sK2215(X2,X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2215(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X3 != X4 | ~sP423(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2215])],[f32950,f32951])).
% 59.37/10.03  tff(f32951,plain,(
% 59.37/10.03    ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (~vEBT_VEBT_valid(sK2215(X2,X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2215(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f32950,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP423(X0,X1,X2,X3,X4) | (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X5 : vEBT_VEBT] : (vEBT_VEBT_valid(X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X3 = X4)) & (~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X6 : vEBT_VEBT] : (~vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X3 != X4 | ~sP423(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(rectify,[],[f32949])).
% 59.37/10.03  tff(f32949,plain,(
% 59.37/10.03    ! [X5 : option(product_prod(nat,nat)),X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : ((sP423(X5,X8,X7,X6,X1) | (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & X1 = X6)) & (~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) | X1 != X6 | ~sP423(X5,X8,X7,X6,X1)))),
% 59.37/10.03    inference(flattening,[],[f32948])).
% 59.37/10.03  tff(f32948,plain,(
% 59.37/10.03    ! [X5 : option(product_prod(nat,nat)),X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : ((sP423(X5,X8,X7,X6,X1) | (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & X1 = X6)) & ((~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) | X1 != X6) | ~sP423(X5,X8,X7,X6,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27725])).
% 59.37/10.03  tff(f27725,plain,(
% 59.37/10.03    ! [X5 : option(product_prod(nat,nat)),X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : (sP423(X5,X8,X7,X6,X1) <=> (~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) | X1 != X6))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP423])])).
% 59.37/10.03  tff(f71661,plain,(
% 59.37/10.03    spl2737_1489 | ~spl2737_89 | ~spl2737_920),
% 59.37/10.03    inference(avatar_split_clause,[],[f69100,f68737,f64664,f71658])).
% 59.37/10.03  tff(f71658,plain,(
% 59.37/10.03    spl2737_1489 <=> sP104(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1489])])).
% 59.37/10.03  tff(f64664,plain,(
% 59.37/10.03    spl2737_89 <=> real_V822414075346904944vector(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_89])])).
% 59.37/10.03  tff(f68737,plain,(
% 59.37/10.03    spl2737_920 <=> ! [X0 : $tType] : (sP104(X0) | ~real_V822414075346904944vector(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_920])])).
% 59.37/10.03  tff(f69100,plain,(
% 59.37/10.03    sP104(real) | (~spl2737_89 | ~spl2737_920)),
% 59.37/10.03    inference(resolution,[],[f68738,f64666])).
% 59.37/10.03  tff(f64666,plain,(
% 59.37/10.03    real_V822414075346904944vector(real) | ~spl2737_89),
% 59.37/10.03    inference(avatar_component_clause,[],[f64664])).
% 59.37/10.03  tff(f68738,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~real_V822414075346904944vector(X0) | sP104(X0)) ) | ~spl2737_920),
% 59.37/10.03    inference(avatar_component_clause,[],[f68737])).
% 59.37/10.03  tff(f71656,plain,(
% 59.37/10.03    spl2737_1488),
% 59.37/10.03    inference(avatar_split_clause,[],[f48113,f71654])).
% 59.37/10.03  tff(f71654,plain,(
% 59.37/10.03    spl2737_1488 <=> ! [X4 : nat,X0 : option(product_prod(nat,nat)),X3 : nat,X2 : list(vEBT_VEBT),X1 : vEBT_VEBT] : (X3 = X4 | ~sP419(X0,X1,X2,X3,X4))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1488])])).
% 59.37/10.03  tff(f48113,plain,(
% 59.37/10.03    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X4 : nat] : (X3 = X4 | ~sP419(X0,X1,X2,X3,X4)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32939])).
% 59.37/10.03  tff(f32939,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP419(X0,X1,X2,X3,X4) | ~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | (~vEBT_VEBT_valid(sK2212(X2,X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2212(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X3 != X4) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X3 = X4) | ~sP419(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2212])],[f32937,f32938])).
% 59.37/10.03  tff(f32938,plain,(
% 59.37/10.03    ! [X2 : list(vEBT_VEBT),X3 : nat] : (? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) => (~vEBT_VEBT_valid(sK2212(X2,X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2212(X2,X3)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f32937,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat,X4 : nat] : ((sP419(X0,X1,X2,X3,X4) | ~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X5 : vEBT_VEBT] : (~vEBT_VEBT_valid(X5,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X5),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X3 != X4) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X1))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X3),X2),X1)),X0)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X1,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X6),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & X3 = X4) | ~sP419(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(rectify,[],[f32936])).
% 59.37/10.03  tff(f32936,plain,(
% 59.37/10.03    ! [X5 : option(product_prod(nat,nat)),X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : ((sP419(X5,X8,X7,X6,X1) | ~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) | X1 != X6) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & X1 = X6) | ~sP419(X5,X8,X7,X6,X1)))),
% 59.37/10.03    inference(flattening,[],[f32935])).
% 59.37/10.03  tff(f32935,plain,(
% 59.37/10.03    ! [X5 : option(product_prod(nat,nat)),X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : ((sP419(X5,X8,X7,X6,X1) | (~pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) | aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) != aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ? [X9 : vEBT_VEBT] : (~vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) | X1 != X6)) & ((pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & X1 = X6) | ~sP419(X5,X8,X7,X6,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27720])).
% 59.37/10.03  tff(f27720,plain,(
% 59.37/10.03    ! [X5 : option(product_prod(nat,nat)),X8 : vEBT_VEBT,X7 : list(vEBT_VEBT),X6 : nat,X1 : nat] : (sP419(X5,X8,X7,X6,X1) <=> (pp(case_option(bool,product_prod(nat,nat),fconj(aa(bool,bool,fNot,aa(fun(nat,bool),bool,fEx(nat),aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X8))),fAll(vEBT_VEBT,combs(vEBT_VEBT,bool,bool,combb(bool,fun(bool,bool),vEBT_VEBT,fimplies,combc(vEBT_VEBT,set(vEBT_VEBT),bool,member(vEBT_VEBT),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),product_case_prod(nat,nat,bool,aa(vEBT_VEBT,fun(nat,fun(nat,bool)),aa(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool))),aTP_Lamp_nh(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X6),X7),X8)),X5)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X7) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & vEBT_VEBT_valid(X8,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X6),divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2))))) & ! [X9 : vEBT_VEBT] : (vEBT_VEBT_valid(X9,divide_divide(nat,X6,aa(num,nat,numeral_numeral(nat),bit0(one2)))) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X7)))) & X1 = X6))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP419])])).
% 59.37/10.03  tff(f71652,plain,(
% 59.37/10.03    spl2737_1487),
% 59.37/10.03    inference(avatar_split_clause,[],[f48086,f71650])).
% 59.37/10.03  tff(f71650,plain,(
% 59.37/10.03    spl2737_1487 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (~pp(X0) | ~vEBT_V5719532721284313246member(X2,X1) | ~sP417(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1487])])).
% 59.37/10.03  tff(f48086,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (~pp(X0) | ~vEBT_V5719532721284313246member(X2,X1) | ~sP417(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32909])).
% 59.37/10.03  tff(f32909,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : nat,X2 : vEBT_VEBT] : (((~pp(X0) | ~vEBT_V5719532721284313246member(X2,X1)) & (pp(X0) | vEBT_V5719532721284313246member(X2,X1))) | ~sP417(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f32908])).
% 59.37/10.03  tff(f32908,plain,(
% 59.37/10.03    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : (((~pp(X2) | ~vEBT_V5719532721284313246member(X0,X1)) & (pp(X2) | vEBT_V5719532721284313246member(X0,X1))) | ~sP417(X2,X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27717])).
% 59.37/10.03  tff(f27717,plain,(
% 59.37/10.03    ! [X2 : bool,X1 : nat,X0 : vEBT_VEBT] : ((vEBT_V5719532721284313246member(X0,X1) <~> pp(X2)) | ~sP417(X2,X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP417])])).
% 59.37/10.03  tff(f71648,plain,(
% 59.37/10.03    spl2737_1486),
% 59.37/10.03    inference(avatar_split_clause,[],[f48085,f71646])).
% 59.37/10.03  tff(f71646,plain,(
% 59.37/10.03    spl2737_1486 <=> ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (pp(X0) | vEBT_V5719532721284313246member(X2,X1) | ~sP417(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1486])])).
% 59.37/10.03  tff(f48085,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : bool,X1 : nat] : (pp(X0) | vEBT_V5719532721284313246member(X2,X1) | ~sP417(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32909])).
% 59.37/10.03  tff(f71644,plain,(
% 59.37/10.03    spl2737_1485),
% 59.37/10.03    inference(avatar_split_clause,[],[f47077,f71642])).
% 59.37/10.03  tff(f71642,plain,(
% 59.37/10.03    spl2737_1485 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1485])])).
% 59.37/10.03  tff(f47077,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : list(vEBT_VEBT)] : (vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f16734])).
% 59.37/10.03  tff(f16734,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : list(vEBT_VEBT),X2 : vEBT_VEBT] : vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f465])).
% 59.37/10.03  tff(f465,axiom,(
% 59.37/10.03    ! [X99 : nat,X100 : list(vEBT_VEBT),X101 : vEBT_VEBT] : vEBT_VEBT_minNull(vEBT_Node(none(product_prod(nat,nat)),X99,X100,X101))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_464_VEBT__internal_OminNull_Osimps_I4_J)).
% 59.37/10.03  tff(f71640,plain,(
% 59.37/10.03    spl2737_1484),
% 59.37/10.03    inference(avatar_split_clause,[],[f47076,f71638])).
% 59.37/10.03  tff(f71638,plain,(
% 59.37/10.03    spl2737_1484 <=> ! [X2 : extended_enat,X0 : bool,X1 : bool] : vEBT_Leaf(X0,X1) = vEBT_VEBT_elim_dead(vEBT_Leaf(X0,X1),X2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1484])])).
% 59.37/10.03  tff(f47076,plain,(
% 59.37/10.03    ( ! [X2 : extended_enat,X0 : bool,X1 : bool] : (vEBT_Leaf(X0,X1) = vEBT_VEBT_elim_dead(vEBT_Leaf(X0,X1),X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f16733])).
% 59.37/10.03  tff(f16733,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : bool,X2 : extended_enat] : vEBT_Leaf(X0,X1) = vEBT_VEBT_elim_dead(vEBT_Leaf(X0,X1),X2)),
% 59.37/10.03    inference(rectify,[],[f7202])).
% 59.37/10.03  tff(f7202,axiom,(
% 59.37/10.03    ! [X7 : bool,X49 : bool,X94 : extended_enat] : vEBT_Leaf(X7,X49) = vEBT_VEBT_elim_dead(vEBT_Leaf(X7,X49),X94)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7201_VEBT__internal_Oelim__dead_Osimps_I1_J)).
% 59.37/10.03  tff(f71636,plain,(
% 59.37/10.03    spl2737_1483),
% 59.37/10.03    inference(avatar_split_clause,[],[f47047,f71634])).
% 59.37/10.03  tff(f71634,plain,(
% 59.37/10.03    spl2737_1483 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (sP365(X1,X0) | ~pp(aa(nat,bool,X1,X0)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1483])])).
% 59.37/10.03  tff(f47047,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : fun(nat,bool)] : (sP365(X1,X0) | ~pp(aa(nat,bool,X1,X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32467])).
% 59.37/10.03  tff(f71632,plain,(
% 59.37/10.03    spl2737_1482),
% 59.37/10.03    inference(avatar_split_clause,[],[f47023,f71630])).
% 59.37/10.03  tff(f71630,plain,(
% 59.37/10.03    spl2737_1482 <=> ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | ~sP363(X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1482])])).
% 59.37/10.03  tff(f47023,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : fun(nat,bool)] : (pp(aa(nat,bool,X1,X0)) | ~sP363(X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32439])).
% 59.37/10.03  tff(f71628,plain,(
% 59.37/10.03    spl2737_1481),
% 59.37/10.03    inference(avatar_split_clause,[],[f46357,f71626])).
% 59.37/10.03  tff(f71626,plain,(
% 59.37/10.03    spl2737_1481 <=> ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 | ~sP351(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1481])])).
% 59.37/10.03  tff(f46357,plain,(
% 59.37/10.03    ( ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 | ~sP351(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32023])).
% 59.37/10.03  tff(f32023,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : ((modulo_modulo(int,X0,X1) = X0 | ~sP351(X0,X1)) & (sP351(X0,X1) | modulo_modulo(int,X0,X1) != X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27615])).
% 59.37/10.03  tff(f27615,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 <=> sP351(X0,X1))),
% 59.37/10.03    inference(definition_folding,[],[f16463,f27614])).
% 59.37/10.03  tff(f27614,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : (sP351(X0,X1) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP351])])).
% 59.37/10.03  tff(f16463,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : (modulo_modulo(int,X0,X1) = X0 <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1))),
% 59.37/10.03    inference(rectify,[],[f1906])).
% 59.37/10.03  tff(f1906,axiom,(
% 59.37/10.03    ! [X23 : int,X18 : int] : (modulo_modulo(int,X23,X18) = X23 <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X18),X23)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X23),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X23),X18)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X23))) | zero_zero(int) = X18))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1905_zmod__trivial__iff)).
% 59.37/10.03  tff(f71624,plain,(
% 59.37/10.03    spl2737_1480),
% 59.37/10.03    inference(avatar_split_clause,[],[f46356,f71622])).
% 59.37/10.03  tff(f71622,plain,(
% 59.37/10.03    spl2737_1480 <=> ! [X0 : int,X1 : int] : (sP351(X0,X1) | modulo_modulo(int,X0,X1) != X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1480])])).
% 59.37/10.03  tff(f46356,plain,(
% 59.37/10.03    ( ! [X0 : int,X1 : int] : (sP351(X0,X1) | modulo_modulo(int,X0,X1) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32023])).
% 59.37/10.03  tff(f71620,plain,(
% 59.37/10.03    spl2737_1479),
% 59.37/10.03    inference(avatar_split_clause,[],[f46315,f71618])).
% 59.37/10.03  tff(f71618,plain,(
% 59.37/10.03    spl2737_1479 <=> ! [X0 : real,X1 : real] : (zero_zero(real) = X0 | imaginary_unit != complex2(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1479])])).
% 59.37/10.03  tff(f46315,plain,(
% 59.37/10.03    ( ! [X0 : real,X1 : real] : (zero_zero(real) = X0 | imaginary_unit != complex2(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31994])).
% 59.37/10.03  tff(f71616,plain,(
% 59.37/10.03    spl2737_1478 | ~spl2737_88 | ~spl2737_920),
% 59.37/10.03    inference(avatar_split_clause,[],[f69099,f68737,f64659,f71613])).
% 59.37/10.03  tff(f71613,plain,(
% 59.37/10.03    spl2737_1478 <=> sP104(complex)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1478])])).
% 59.37/10.03  tff(f64659,plain,(
% 59.37/10.03    spl2737_88 <=> real_V822414075346904944vector(complex)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_88])])).
% 59.37/10.03  tff(f69099,plain,(
% 59.37/10.03    sP104(complex) | (~spl2737_88 | ~spl2737_920)),
% 59.37/10.03    inference(resolution,[],[f68738,f64661])).
% 59.37/10.03  tff(f64661,plain,(
% 59.37/10.03    real_V822414075346904944vector(complex) | ~spl2737_88),
% 59.37/10.03    inference(avatar_component_clause,[],[f64659])).
% 59.37/10.03  tff(f71611,plain,(
% 59.37/10.03    spl2737_1477),
% 59.37/10.03    inference(avatar_split_clause,[],[f46184,f71609])).
% 59.37/10.03  tff(f71609,plain,(
% 59.37/10.03    spl2737_1477 <=> ! [X0 : fun(real,bool)] : (~pp(aa(real,bool,X0,sK1883(X0))) | ~sP335(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1477])])).
% 59.37/10.03  tff(f46184,plain,(
% 59.37/10.03    ( ! [X0 : fun(real,bool)] : (~pp(aa(real,bool,X0,sK1883(X0))) | ~sP335(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31884])).
% 59.37/10.03  tff(f71607,plain,(
% 59.37/10.03    spl2737_1476),
% 59.37/10.03    inference(avatar_split_clause,[],[f46183,f71605])).
% 59.37/10.03  tff(f71605,plain,(
% 59.37/10.03    spl2737_1476 <=> ! [X0 : fun(real,bool)] : (pp(aa(real,bool,X0,sK1882(X0))) | ~sP335(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1476])])).
% 59.37/10.03  tff(f46183,plain,(
% 59.37/10.03    ( ! [X0 : fun(real,bool)] : (pp(aa(real,bool,X0,sK1882(X0))) | ~sP335(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31884])).
% 59.37/10.03  tff(f71603,plain,(
% 59.37/10.03    spl2737_1475),
% 59.37/10.03    inference(avatar_split_clause,[],[f46153,f71601])).
% 59.37/10.03  tff(f71601,plain,(
% 59.37/10.03    spl2737_1475 <=> ! [X0 : fun(real,bool),X1 : real] : (pp(aa(real,bool,X0,X1)) | cauchy(sK1866(X0)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1475])])).
% 59.37/10.03  tff(f46153,plain,(
% 59.37/10.03    ( ! [X0 : fun(real,bool),X1 : real] : (pp(aa(real,bool,X0,X1)) | cauchy(sK1866(X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31852])).
% 59.37/10.03  tff(f31852,plain,(
% 59.37/10.03    ! [X0 : fun(real,bool),X1 : real] : (pp(aa(real,bool,X0,X1)) | (~pp(aa(real,bool,X0,aa(fun(nat,rat),real,real2,sK1866(X0)))) & cauchy(sK1866(X0))))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1866])],[f25491,f31851])).
% 59.37/10.03  tff(f31851,plain,(
% 59.37/10.03    ! [X0 : fun(real,bool)] : (? [X2 : fun(nat,rat)] : (~pp(aa(real,bool,X0,aa(fun(nat,rat),real,real2,X2))) & cauchy(X2)) => (~pp(aa(real,bool,X0,aa(fun(nat,rat),real,real2,sK1866(X0)))) & cauchy(sK1866(X0))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f25491,plain,(
% 59.37/10.03    ! [X0 : fun(real,bool),X1 : real] : (pp(aa(real,bool,X0,X1)) | ? [X2 : fun(nat,rat)] : (~pp(aa(real,bool,X0,aa(fun(nat,rat),real,real2,X2))) & cauchy(X2)))),
% 59.37/10.03    inference(ennf_transformation,[],[f16423])).
% 59.37/10.03  tff(f16423,plain,(
% 59.37/10.03    ! [X0 : fun(real,bool),X1 : real] : (! [X2 : fun(nat,rat)] : (cauchy(X2) => pp(aa(real,bool,X0,aa(fun(nat,rat),real,real2,X2)))) => pp(aa(real,bool,X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f6409])).
% 59.37/10.03  tff(f6409,axiom,(
% 59.37/10.03    ! [X17 : fun(real,bool),X14 : real] : (! [X297 : fun(nat,rat)] : (cauchy(X297) => pp(aa(real,bool,X17,aa(fun(nat,rat),real,real2,X297)))) => pp(aa(real,bool,X17,X14)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6408_Real__induct)).
% 59.37/10.03  tff(f71599,plain,(
% 59.37/10.03    spl2737_1474),
% 59.37/10.03    inference(avatar_split_clause,[],[f46134,f71597])).
% 59.37/10.03  tff(f71597,plain,(
% 59.37/10.03    spl2737_1474 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK1846(X1)) = X1 | ~sP333(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1474])])).
% 59.37/10.03  tff(f46134,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK1846(X1)) = X1 | ~sP333(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31821])).
% 59.37/10.03  tff(f31821,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Leaf(fTrue,sK1846(X1)) = X1) | ~sP333(X0,X1))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1846])],[f31819,f31820])).
% 59.37/10.03  tff(f31820,plain,(
% 59.37/10.03    ! [X1 : vEBT_VEBT] : (? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X1 => vEBT_Leaf(fTrue,sK1846(X1)) = X1)),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31819,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X1) | ~sP333(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31818])).
% 59.37/10.03  tff(f31818,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X0) | ~sP333(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27592])).
% 59.37/10.03  tff(f27592,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X0) | ~sP333(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP333])])).
% 59.37/10.03  tff(f71595,plain,(
% 59.37/10.03    spl2737_1473),
% 59.37/10.03    inference(avatar_split_clause,[],[f46132,f71593])).
% 59.37/10.03  tff(f71593,plain,(
% 59.37/10.03    spl2737_1473 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1845(X1),fTrue) = X1 | ~sP334(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1473])])).
% 59.37/10.03  tff(f46132,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(sK1845(X1),fTrue) = X1 | ~sP334(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31817])).
% 59.37/10.03  tff(f31817,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Leaf(sK1845(X1),fTrue) = X1) | ~sP334(X0,X1))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1845])],[f31815,f31816])).
% 59.37/10.03  tff(f31816,plain,(
% 59.37/10.03    ! [X1 : vEBT_VEBT] : (? [X2 : bool] : vEBT_Leaf(X2,fTrue) = X1 => vEBT_Leaf(sK1845(X1),fTrue) = X1)),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31815,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : bool] : vEBT_Leaf(X2,fTrue) = X1) | ~sP334(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31814])).
% 59.37/10.03  tff(f31814,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X3 : bool] : vEBT_Leaf(X3,fTrue) = X0) | ~sP334(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27593])).
% 59.37/10.03  tff(f27593,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X3 : bool] : vEBT_Leaf(X3,fTrue) = X0) | ~sP334(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP334])])).
% 59.37/10.03  tff(f71591,plain,(
% 59.37/10.03    spl2737_1471 | spl2737_1472),
% 59.37/10.03    inference(avatar_split_clause,[],[f45201,f71588,f71585])).
% 59.37/10.03  tff(f71585,plain,(
% 59.37/10.03    spl2737_1471 <=> ! [X0 : nat,X1 : list(nat)] : ~sP311(X0,X1)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1471])])).
% 59.37/10.03  tff(f71588,plain,(
% 59.37/10.03    spl2737_1472 <=> accp(list(nat),nat_list_encode_rel,nil(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1472])])).
% 59.37/10.03  tff(f45201,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : list(nat)] : (accp(list(nat),nat_list_encode_rel,nil(nat)) | ~sP311(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31419])).
% 59.37/10.03  tff(f31419,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : list(nat)] : ((accp(list(nat),nat_list_encode_rel,nil(nat)) & zero_zero(nat) = X0 & nil(nat) = X1) | ~sP311(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31418])).
% 59.37/10.03  tff(f31418,plain,(
% 59.37/10.03    ! [X1 : nat,X0 : list(nat)] : ((accp(list(nat),nat_list_encode_rel,nil(nat)) & zero_zero(nat) = X1 & nil(nat) = X0) | ~sP311(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27559])).
% 59.37/10.03  tff(f27559,plain,(
% 59.37/10.03    ! [X1 : nat,X0 : list(nat)] : ((accp(list(nat),nat_list_encode_rel,nil(nat)) & zero_zero(nat) = X1 & nil(nat) = X0) | ~sP311(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP311])])).
% 59.37/10.03  tff(f71583,plain,(
% 59.37/10.03    spl2737_1470),
% 59.37/10.03    inference(avatar_split_clause,[],[f45165,f71581])).
% 59.37/10.03  tff(f71581,plain,(
% 59.37/10.03    spl2737_1470 <=> ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,X0,sK1666(X0))) | ~sP305(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1470])])).
% 59.37/10.03  tff(f45165,plain,(
% 59.37/10.03    ( ! [X0 : fun(nat,bool)] : (pp(aa(nat,bool,X0,sK1666(X0))) | ~sP305(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31389])).
% 59.37/10.03  tff(f71579,plain,(
% 59.37/10.03    spl2737_1469),
% 59.37/10.03    inference(avatar_split_clause,[],[f45155,f71577])).
% 59.37/10.03  tff(f71577,plain,(
% 59.37/10.03    spl2737_1469 <=> ! [X0 : fun(int,bool)] : (pp(aa(int,bool,X0,sK1662(X0))) | ~sP304(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1469])])).
% 59.37/10.03  tff(f45155,plain,(
% 59.37/10.03    ( ! [X0 : fun(int,bool)] : (pp(aa(int,bool,X0,sK1662(X0))) | ~sP304(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31378])).
% 59.37/10.03  tff(f31378,plain,(
% 59.37/10.03    ! [X0 : fun(int,bool)] : ((~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),times_times(int),sK1662(X0)),aa(num,int,numeral_numeral(int),bit0(one2))))) & zero_zero(int) != sK1662(X0) & pp(aa(int,bool,X0,sK1662(X0)))) | ~sP304(X0))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1662])],[f31376,f31377])).
% 59.37/10.03  tff(f31377,plain,(
% 59.37/10.03    ! [X0 : fun(int,bool)] : (? [X1 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(num,int,numeral_numeral(int),bit0(one2))))) & zero_zero(int) != X1 & pp(aa(int,bool,X0,X1))) => (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),times_times(int),sK1662(X0)),aa(num,int,numeral_numeral(int),bit0(one2))))) & zero_zero(int) != sK1662(X0) & pp(aa(int,bool,X0,sK1662(X0)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31376,plain,(
% 59.37/10.03    ! [X0 : fun(int,bool)] : (? [X1 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X1),aa(num,int,numeral_numeral(int),bit0(one2))))) & zero_zero(int) != X1 & pp(aa(int,bool,X0,X1))) | ~sP304(X0))),
% 59.37/10.03    inference(rectify,[],[f31375])).
% 59.37/10.03  tff(f31375,plain,(
% 59.37/10.03    ! [X0 : fun(int,bool)] : (? [X2 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X2),aa(num,int,numeral_numeral(int),bit0(one2))))) & zero_zero(int) != X2 & pp(aa(int,bool,X0,X2))) | ~sP304(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27548])).
% 59.37/10.03  tff(f27548,plain,(
% 59.37/10.03    ! [X0 : fun(int,bool)] : (? [X2 : int] : (~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),times_times(int),X2),aa(num,int,numeral_numeral(int),bit0(one2))))) & zero_zero(int) != X2 & pp(aa(int,bool,X0,X2))) | ~sP304(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP304])])).
% 59.37/10.03  tff(f71575,plain,(
% 59.37/10.03    spl2737_1468 | ~spl2737_85 | ~spl2737_919),
% 59.37/10.03    inference(avatar_split_clause,[],[f69098,f68733,f64644,f71572])).
% 59.37/10.03  tff(f71572,plain,(
% 59.37/10.03    spl2737_1468 <=> sP102(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1468])])).
% 59.37/10.03  tff(f64644,plain,(
% 59.37/10.03    spl2737_85 <=> linordered_field(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_85])])).
% 59.37/10.03  tff(f68733,plain,(
% 59.37/10.03    spl2737_919 <=> ! [X0 : $tType] : (sP102(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_919])])).
% 59.37/10.03  tff(f69098,plain,(
% 59.37/10.03    sP102(real) | (~spl2737_85 | ~spl2737_919)),
% 59.37/10.03    inference(resolution,[],[f68734,f64646])).
% 59.37/10.03  tff(f64646,plain,(
% 59.37/10.03    linordered_field(real) | ~spl2737_85),
% 59.37/10.03    inference(avatar_component_clause,[],[f64644])).
% 59.37/10.03  tff(f68734,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP102(X0)) ) | ~spl2737_919),
% 59.37/10.03    inference(avatar_component_clause,[],[f68733])).
% 59.37/10.03  tff(f71570,plain,(
% 59.37/10.03    spl2737_1467),
% 59.37/10.03    inference(avatar_split_clause,[],[f44381,f71568])).
% 59.37/10.03  tff(f71568,plain,(
% 59.37/10.03    spl2737_1467 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (~pp(aa(nat,bool,vEBT_vebt_member(X0),X1)) | ~vEBT_VEBT_minNull(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1467])])).
% 59.37/10.03  tff(f44381,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (~pp(aa(nat,bool,vEBT_vebt_member(X0),X1)) | ~vEBT_VEBT_minNull(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23957])).
% 59.37/10.03  tff(f23957,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (~pp(aa(nat,bool,vEBT_vebt_member(X0),X1)) | ~vEBT_VEBT_minNull(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f15418])).
% 59.37/10.03  tff(f15418,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_minNull(X0) => ~pp(aa(nat,bool,vEBT_vebt_member(X0),X1)))),
% 59.37/10.03    inference(rectify,[],[f269])).
% 59.37/10.03  tff(f269,axiom,(
% 59.37/10.03    ! [X41 : vEBT_VEBT,X14 : nat] : (vEBT_VEBT_minNull(X41) => ~pp(aa(nat,bool,vEBT_vebt_member(X41),X14)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_min__Null__member)).
% 59.37/10.03  tff(f71566,plain,(
% 59.37/10.03    spl2737_1466),
% 59.37/10.03    inference(avatar_split_clause,[],[f44269,f71564])).
% 59.37/10.03  tff(f71564,plain,(
% 59.37/10.03    spl2737_1466 <=> ! [X1 : $tType,X0 : $tType,X2 : filter(X1)] : (zfun(X1,X0,aTP_Lamp_agj(X1,X0),X2) | ~real_V822414075346904944vector(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1466])])).
% 59.37/10.03  tff(f44269,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType,X2 : filter(X1)] : (zfun(X1,X0,aTP_Lamp_agj(X1,X0),X2) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23866])).
% 59.37/10.03  tff(f23866,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (! [X2 : filter(X1)] : zfun(X1,X0,aTP_Lamp_agj(X1,X0),X2) | ~real_V822414075346904944vector(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f15348])).
% 59.37/10.03  tff(f15348,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (real_V822414075346904944vector(X0) => ! [X2 : filter(X1)] : zfun(X1,X0,aTP_Lamp_agj(X1,X0),X2))),
% 59.37/10.03    inference(rectify,[],[f7915])).
% 59.37/10.03  tff(f7915,axiom,(
% 59.37/10.03    ! [X1 : $tType,X0 : $tType] : (real_V822414075346904944vector(X1) => ! [X121 : filter(X0)] : zfun(X0,X1,aTP_Lamp_agj(X0,X1),X121))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7914_Zfun__zero)).
% 59.37/10.03  tff(f71562,plain,(
% 59.37/10.03    spl2737_1465),
% 59.37/10.03    inference(avatar_split_clause,[],[f43534,f71560])).
% 59.37/10.03  tff(f71560,plain,(
% 59.37/10.03    spl2737_1465 <=> ! [X0 : $tType,X1 : X0] : aa(X0,X0,aTP_Lamp_afk(X0,X0),X1) = X1),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1465])])).
% 59.37/10.03  tff(f43534,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (aa(X0,X0,aTP_Lamp_afk(X0,X0),X1) = X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14717])).
% 59.37/10.03  tff(f14717,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : aa(X0,X0,aTP_Lamp_afk(X0,X0),X1) = X1),
% 59.37/10.03    inference(rectify,[],[f8959])).
% 59.37/10.03  tff(f8959,axiom,(
% 59.37/10.03    ! [X0 : $tType,X94 : X0] : aa(X0,X0,aTP_Lamp_afk(X0,X0),X94) = X94),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8958_ATP_Olambda__843)).
% 59.37/10.03  tff(f71558,plain,(
% 59.37/10.03    spl2737_1464),
% 59.37/10.03    inference(avatar_split_clause,[],[f43512,f71556])).
% 59.37/10.03  tff(f71556,plain,(
% 59.37/10.03    spl2737_1464 <=> ! [X0 : real] : aa(real,real,tan(real),sK1315(X0)) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1464])])).
% 59.37/10.03  tff(f43512,plain,(
% 59.37/10.03    ( ! [X0 : real] : (aa(real,real,tan(real),sK1315(X0)) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30749])).
% 59.37/10.03  tff(f71554,plain,(
% 59.37/10.03    spl2737_1463),
% 59.37/10.03    inference(avatar_split_clause,[],[f43509,f71552])).
% 59.37/10.03  tff(f71552,plain,(
% 59.37/10.03    spl2737_1463 <=> ! [X0 : real] : aa(real,real,tan(real),sK1314(X0)) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1463])])).
% 59.37/10.03  tff(f43509,plain,(
% 59.37/10.03    ( ! [X0 : real] : (aa(real,real,tan(real),sK1314(X0)) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30747])).
% 59.37/10.03  tff(f71550,plain,(
% 59.37/10.03    spl2737_1462),
% 59.37/10.03    inference(avatar_split_clause,[],[f43311,f71548])).
% 59.37/10.03  tff(f71548,plain,(
% 59.37/10.03    spl2737_1462 <=> ! [X0 : nat] : (one_one(nat) = X0 | one_one(extended_enat) != extended_enat2(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1462])])).
% 59.37/10.03  tff(f43311,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (one_one(nat) = X0 | one_one(extended_enat) != extended_enat2(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30578])).
% 59.37/10.03  tff(f30578,plain,(
% 59.37/10.03    ! [X0 : nat] : ((one_one(extended_enat) = extended_enat2(X0) | one_one(nat) != X0) & (one_one(nat) = X0 | one_one(extended_enat) != extended_enat2(X0)))),
% 59.37/10.03    inference(nnf_transformation,[],[f14610])).
% 59.37/10.03  tff(f14610,plain,(
% 59.37/10.03    ! [X0 : nat] : (one_one(extended_enat) = extended_enat2(X0) <=> one_one(nat) = X0)),
% 59.37/10.03    inference(rectify,[],[f7200])).
% 59.37/10.03  tff(f7200,axiom,(
% 59.37/10.03    ! [X14 : nat] : (extended_enat2(X14) = one_one(extended_enat) <=> one_one(nat) = X14)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7199_enat__1__iff_I1_J)).
% 59.37/10.03  tff(f71546,plain,(
% 59.37/10.03    spl2737_1461),
% 59.37/10.03    inference(avatar_split_clause,[],[f43307,f71544])).
% 59.37/10.03  tff(f71544,plain,(
% 59.37/10.03    spl2737_1461 <=> ! [X0 : nat] : (zero_zero(nat) = X0 | zero_zero(extended_enat) != extended_enat2(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1461])])).
% 59.37/10.03  tff(f43307,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (zero_zero(nat) = X0 | zero_zero(extended_enat) != extended_enat2(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30576])).
% 59.37/10.03  tff(f30576,plain,(
% 59.37/10.03    ! [X0 : nat] : ((zero_zero(extended_enat) = extended_enat2(X0) | zero_zero(nat) != X0) & (zero_zero(nat) = X0 | zero_zero(extended_enat) != extended_enat2(X0)))),
% 59.37/10.03    inference(nnf_transformation,[],[f14608])).
% 59.37/10.03  tff(f14608,plain,(
% 59.37/10.03    ! [X0 : nat] : (zero_zero(extended_enat) = extended_enat2(X0) <=> zero_zero(nat) = X0)),
% 59.37/10.03    inference(rectify,[],[f7198])).
% 59.37/10.03  tff(f7198,axiom,(
% 59.37/10.03    ! [X14 : nat] : (zero_zero(extended_enat) = extended_enat2(X14) <=> zero_zero(nat) = X14)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7197_enat__0__iff_I2_J)).
% 59.37/10.03  tff(f71542,plain,(
% 59.37/10.03    spl2737_1460),
% 59.37/10.03    inference(avatar_split_clause,[],[f43261,f71540])).
% 59.37/10.03  tff(f71540,plain,(
% 59.37/10.03    spl2737_1460 <=> ! [X0 : rat] : (zero_zero(rat) = X0 | zero_zero(int) != sK1166(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1460])])).
% 59.37/10.03  tff(f43261,plain,(
% 59.37/10.03    ( ! [X0 : rat] : (zero_zero(rat) = X0 | zero_zero(int) != sK1166(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30501])).
% 59.37/10.03  tff(f71538,plain,(
% 59.37/10.03    spl2737_1459),
% 59.37/10.03    inference(avatar_split_clause,[],[f43173,f71536])).
% 59.37/10.03  tff(f71536,plain,(
% 59.37/10.03    spl2737_1459 <=> ! [X0 : $tType] : (summable(X0,aTP_Lamp_bl(nat,X0)) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1459])])).
% 59.37/10.03  tff(f43173,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (summable(X0,aTP_Lamp_bl(nat,X0)) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23613])).
% 59.37/10.03  tff(f23613,plain,(
% 59.37/10.03    ! [X0 : $tType] : (summable(X0,aTP_Lamp_bl(nat,X0)) | ~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0))),
% 59.37/10.03    inference(flattening,[],[f23612])).
% 59.37/10.03  tff(f23612,plain,(
% 59.37/10.03    ! [X0 : $tType] : (summable(X0,aTP_Lamp_bl(nat,X0)) | (~topolo4958980785337419405_space(X0) | ~comm_monoid_add(X0)))),
% 59.37/10.03    inference(ennf_transformation,[],[f3634])).
% 59.37/10.03  tff(f3634,axiom,(
% 59.37/10.03    ! [X0 : $tType] : ((topolo4958980785337419405_space(X0) & comm_monoid_add(X0)) => summable(X0,aTP_Lamp_bl(nat,X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3633_summable__zero)).
% 59.37/10.03  tff(f71534,plain,(
% 59.37/10.03    spl2737_1458),
% 59.37/10.03    inference(avatar_split_clause,[],[f42375,f71532])).
% 59.37/10.03  tff(f71532,plain,(
% 59.37/10.03    spl2737_1458 <=> ! [X3 : $tType,X0 : list(X3),X2 : fun(list(X3),fun(list(X3),bool)),X1 : list(X3)] : (sP231(X3,X0,X1,X2) | ~sP230(X3,X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1458])])).
% 59.37/10.03  tff(f42375,plain,(
% 59.37/10.03    ( ! [X3 : $tType,X2 : fun(list(X3),fun(list(X3),bool)),X0 : list(X3),X1 : list(X3)] : (sP231(X3,X0,X1,X2) | ~sP230(X3,X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30129])).
% 59.37/10.03  tff(f71530,plain,(
% 59.37/10.03    spl2737_1457 | ~spl2737_84 | ~spl2737_919),
% 59.37/10.03    inference(avatar_split_clause,[],[f69097,f68733,f64639,f71527])).
% 59.37/10.03  tff(f71527,plain,(
% 59.37/10.03    spl2737_1457 <=> sP102(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1457])])).
% 59.37/10.03  tff(f64639,plain,(
% 59.37/10.03    spl2737_84 <=> linordered_field(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_84])])).
% 59.37/10.03  tff(f69097,plain,(
% 59.37/10.03    sP102(rat) | (~spl2737_84 | ~spl2737_919)),
% 59.37/10.03    inference(resolution,[],[f68734,f64641])).
% 59.37/10.03  tff(f64641,plain,(
% 59.37/10.03    linordered_field(rat) | ~spl2737_84),
% 59.37/10.03    inference(avatar_component_clause,[],[f64639])).
% 59.37/10.03  tff(f71525,plain,(
% 59.37/10.03    spl2737_1456),
% 59.37/10.03    inference(avatar_split_clause,[],[f42228,f71523])).
% 59.37/10.03  tff(f71523,plain,(
% 59.37/10.03    spl2737_1456 <=> ! [X0 : $tType] : (transp(X0,aTP_Lamp_adb(X0,fun(X0,bool))) | ~preorder(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1456])])).
% 59.37/10.03  tff(f42228,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (transp(X0,aTP_Lamp_adb(X0,fun(X0,bool))) | ~preorder(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f22529])).
% 59.37/10.03  tff(f22529,plain,(
% 59.37/10.03    ! [X0 : $tType] : (transp(X0,aTP_Lamp_adb(X0,fun(X0,bool))) | ~preorder(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7067])).
% 59.37/10.03  tff(f7067,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (preorder(X0) => transp(X0,aTP_Lamp_adb(X0,fun(X0,bool))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7066_transp__gr)).
% 59.37/10.03  tff(f71521,plain,(
% 59.37/10.03    spl2737_1455),
% 59.37/10.03    inference(avatar_split_clause,[],[f42045,f71519])).
% 59.37/10.03  tff(f71519,plain,(
% 59.37/10.03    spl2737_1455 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sP202(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1455])])).
% 59.37/10.03  tff(f42045,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X1) | ~sP202(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29900])).
% 59.37/10.03  tff(f29900,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((sP202(X0,X1,X2) | ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),sK925(X0,X1,X2)),sK926(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK926(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X1)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK925(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less_eq(X0),X2)) & ((! [X5 : X0] : (! [X6 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X5),X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X1)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2)))) & sorted_wrt(X0,ord_less_eq(X0),X1) & sorted_wrt(X0,ord_less_eq(X0),X2)) | ~sP202(X0,X1,X2)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK925,sK926])],[f29897,f29899,f29898])).
% 59.37/10.03  tff(f29898,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (? [X3 : X0] : (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) => (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),sK925(X0,X1,X2)),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK925(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f29899,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),sK925(X0,X1,X2)),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1)))) => (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),sK925(X0,X1,X2)),sK926(X0,X1,X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK926(X0,X1,X2)),aa(list(X0),set(X0),set2(X0),X1)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f29897,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((sP202(X0,X1,X2) | ? [X3 : X0] : (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X1)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | ~sorted_wrt(X0,ord_less_eq(X0),X1) | ~sorted_wrt(X0,ord_less_eq(X0),X2)) & ((! [X5 : X0] : (! [X6 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X5),X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X1)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),aa(list(X0),set(X0),set2(X0),X2)))) & sorted_wrt(X0,ord_less_eq(X0),X1) & sorted_wrt(X0,ord_less_eq(X0),X2)) | ~sP202(X0,X1,X2)))),
% 59.37/10.03    inference(rectify,[],[f29896])).
% 59.37/10.03  tff(f29896,plain,(
% 59.37/10.03    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : ((sP202(X0,X2,X1) | ? [X3 : X0] : (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~sorted_wrt(X0,ord_less_eq(X0),X2) | ~sorted_wrt(X0,ord_less_eq(X0),X1)) & ((! [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) & sorted_wrt(X0,ord_less_eq(X0),X2) & sorted_wrt(X0,ord_less_eq(X0),X1)) | ~sP202(X0,X2,X1)))),
% 59.37/10.03    inference(flattening,[],[f29895])).
% 59.37/10.03  tff(f29895,plain,(
% 59.37/10.03    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : ((sP202(X0,X2,X1) | (? [X3 : X0] : (? [X4 : X0] : (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) | ~sorted_wrt(X0,ord_less_eq(X0),X2) | ~sorted_wrt(X0,ord_less_eq(X0),X1))) & ((! [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) & sorted_wrt(X0,ord_less_eq(X0),X2) & sorted_wrt(X0,ord_less_eq(X0),X1)) | ~sP202(X0,X2,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27392])).
% 59.37/10.03  tff(f27392,plain,(
% 59.37/10.03    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP202(X0,X2,X1) <=> (! [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) & sorted_wrt(X0,ord_less_eq(X0),X2) & sorted_wrt(X0,ord_less_eq(X0),X1)))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP202])])).
% 59.37/10.03  tff(f71517,plain,(
% 59.37/10.03    spl2737_1454),
% 59.37/10.03    inference(avatar_split_clause,[],[f42044,f71515])).
% 59.37/10.03  tff(f71515,plain,(
% 59.37/10.03    spl2737_1454 <=> ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X2) | ~sP202(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1454])])).
% 59.37/10.03  tff(f42044,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),X2) | ~sP202(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29900])).
% 59.37/10.03  tff(f71513,plain,(
% 59.37/10.03    spl2737_1453),
% 59.37/10.03    inference(avatar_split_clause,[],[f41901,f71511])).
% 59.37/10.03  tff(f71511,plain,(
% 59.37/10.03    spl2737_1453 <=> ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1453])])).
% 59.37/10.03  tff(f41901,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f22320])).
% 59.37/10.03  tff(f22320,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)) | ~linorder(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f13737])).
% 59.37/10.03  tff(f13737,plain,(
% 59.37/10.03    ! [X0 : $tType] : (linorder(X0) => ! [X1 : set(X0)] : sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f5254])).
% 59.37/10.03  tff(f5254,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (linorder(X0) => ! [X30 : set(X0)] : sorted_wrt(X0,ord_less(X0),linord4507533701916653071of_set(X0,X30)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5253_sorted__list__of__set_Ostrict__sorted__key__list__of__set)).
% 59.37/10.03  tff(f71509,plain,(
% 59.37/10.03    spl2737_1452),
% 59.37/10.03    inference(avatar_split_clause,[],[f41447,f71507])).
% 59.37/10.03  tff(f71507,plain,(
% 59.37/10.03    spl2737_1452 <=> ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,one_one(nat)) | ~semiring_char_0(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1452])])).
% 59.37/10.03  tff(f41447,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,one_one(nat)) | ~semiring_char_0(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21913])).
% 59.37/10.03  tff(f21913,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = semiring_char_0_fact(X0,one_one(nat)) | ~semiring_char_0(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f1645])).
% 59.37/10.03  tff(f1645,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semiring_char_0(X0) => one_one(X0) = semiring_char_0_fact(X0,one_one(nat)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1644_fact__1)).
% 59.37/10.03  tff(f71505,plain,(
% 59.37/10.03    spl2737_1451),
% 59.37/10.03    inference(avatar_split_clause,[],[f41412,f71503])).
% 59.37/10.03  tff(f71503,plain,(
% 59.37/10.03    spl2737_1451 <=> ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,one_one(nat)) = X1 | ~comm_semiring_1(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1451])])).
% 59.37/10.03  tff(f41412,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (comm_s3205402744901411588hammer(X0,X1,one_one(nat)) = X1 | ~comm_semiring_1(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21881])).
% 59.37/10.03  tff(f21881,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : comm_s3205402744901411588hammer(X0,X1,one_one(nat)) = X1 | ~comm_semiring_1(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f13355])).
% 59.37/10.03  tff(f13355,plain,(
% 59.37/10.03    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X1 : X0] : comm_s3205402744901411588hammer(X0,X1,one_one(nat)) = X1)),
% 59.37/10.03    inference(rectify,[],[f1553])).
% 59.37/10.03  tff(f1553,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (comm_semiring_1(X0) => ! [X7 : X0] : comm_s3205402744901411588hammer(X0,X7,one_one(nat)) = X7)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1552_pochhammer__1)).
% 59.37/10.03  tff(f71501,plain,(
% 59.37/10.03    spl2737_1450),
% 59.37/10.03    inference(avatar_split_clause,[],[f41191,f71499])).
% 59.37/10.03  tff(f71499,plain,(
% 59.37/10.03    spl2737_1450 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~semidom_divide(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1450])])).
% 59.37/10.03  tff(f41191,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~semidom_divide(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21698])).
% 59.37/10.03  tff(f21698,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1 | ~semidom_divide(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f13221])).
% 59.37/10.03  tff(f13221,plain,(
% 59.37/10.03    ! [X0 : $tType] : (semidom_divide(X0) => ! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1)),
% 59.37/10.03    inference(rectify,[],[f948])).
% 59.37/10.03  tff(f948,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semidom_divide(X0) => ! [X7 : X0] : divide_divide(X0,X7,one_one(X0)) = X7)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_947_div__by__1)).
% 59.37/10.03  tff(f71497,plain,(
% 59.37/10.03    spl2737_1449),
% 59.37/10.03    inference(avatar_split_clause,[],[f40759,f71495])).
% 59.37/10.03  tff(f71495,plain,(
% 59.37/10.03    spl2737_1449 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~ring_1_iszero(X0,X1) | ~ring_1(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1449])])).
% 59.37/10.03  tff(f40759,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = X1 | ~ring_1_iszero(X0,X1) | ~ring_1(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29536])).
% 59.37/10.03  tff(f29536,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : ((ring_1_iszero(X0,X1) | zero_zero(X0) != X1) & (zero_zero(X0) = X1 | ~ring_1_iszero(X0,X1))) | ~ring_1(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f21287])).
% 59.37/10.03  tff(f21287,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : (ring_1_iszero(X0,X1) <=> zero_zero(X0) = X1) | ~ring_1(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f12910])).
% 59.37/10.03  tff(f12910,plain,(
% 59.37/10.03    ! [X0 : $tType] : (ring_1(X0) => ! [X1 : X0] : (ring_1_iszero(X0,X1) <=> zero_zero(X0) = X1))),
% 59.37/10.03    inference(rectify,[],[f4792])).
% 59.37/10.03  tff(f4792,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (ring_1(X0) => ! [X60 : X0] : (ring_1_iszero(X0,X60) <=> zero_zero(X0) = X60))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4791_iszero__def)).
% 59.37/10.03  tff(f71493,plain,(
% 59.37/10.03    spl2737_1448),
% 59.37/10.03    inference(avatar_split_clause,[],[f40627,f71491])).
% 59.37/10.03  tff(f71491,plain,(
% 59.37/10.03    spl2737_1448 <=> ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1448])])).
% 59.37/10.03  tff(f40627,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)) | ~neg_numeral(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21170])).
% 59.37/10.03  tff(f21170,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f2545])).
% 59.37/10.03  tff(f2545,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (neg_numeral(X0) => zero_zero(X0) = neg_numeral_dbl(X0,zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2544_dbl__simps_I2_J)).
% 59.37/10.03  tff(f71489,plain,(
% 59.37/10.03    spl2737_1447),
% 59.37/10.03    inference(avatar_split_clause,[],[f40626,f71487])).
% 59.37/10.03  tff(f71487,plain,(
% 59.37/10.03    spl2737_1447 <=> ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_sub(X0,one2,one2) | ~neg_numeral(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1447])])).
% 59.37/10.03  tff(f40626,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_sub(X0,one2,one2) | ~neg_numeral(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21169])).
% 59.37/10.03  tff(f21169,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(X0) = neg_numeral_sub(X0,one2,one2) | ~neg_numeral(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f4573])).
% 59.37/10.03  tff(f4573,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (neg_numeral(X0) => zero_zero(X0) = neg_numeral_sub(X0,one2,one2))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4572_sub__num__simps_I1_J)).
% 59.37/10.03  tff(f71485,plain,(
% 59.37/10.03    spl2737_1446),
% 59.37/10.03    inference(avatar_split_clause,[],[f40625,f71483])).
% 59.37/10.03  tff(f71483,plain,(
% 59.37/10.03    spl2737_1446 <=> ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1446])])).
% 59.37/10.03  tff(f40625,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)) | ~neg_numeral(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21168])).
% 59.37/10.03  tff(f21168,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)) | ~neg_numeral(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f536])).
% 59.37/10.03  tff(f536,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (neg_numeral(X0) => one_one(X0) = neg_numeral_dbl_inc(X0,zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_535_dbl__inc__simps_I2_J)).
% 59.37/10.03  tff(f71481,plain,(
% 59.37/10.03    spl2737_1445),
% 59.37/10.03    inference(avatar_split_clause,[],[f40624,f71479])).
% 59.37/10.03  tff(f71479,plain,(
% 59.37/10.03    spl2737_1445 <=> ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)) | ~neg_numeral(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1445])])).
% 59.37/10.03  tff(f40624,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)) | ~neg_numeral(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21167])).
% 59.37/10.03  tff(f21167,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)) | ~neg_numeral(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f516])).
% 59.37/10.03  tff(f516,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (neg_numeral(X0) => one_one(X0) = neg_numeral_dbl_dec(X0,one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_515_dbl__dec__simps_I3_J)).
% 59.37/10.03  tff(f71477,plain,(
% 59.37/10.03    spl2737_1444),
% 59.37/10.03    inference(avatar_split_clause,[],[f39473,f71475])).
% 59.37/10.03  tff(f71475,plain,(
% 59.37/10.03    spl2737_1444 <=> ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~bit_semiring_bits(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1444])])).
% 59.37/10.03  tff(f39473,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (divide_divide(X0,X1,one_one(X0)) = X1 | ~bit_semiring_bits(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20435])).
% 59.37/10.03  tff(f20435,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1 | ~bit_semiring_bits(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f12193])).
% 59.37/10.03  tff(f12193,plain,(
% 59.37/10.03    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0] : divide_divide(X0,X1,one_one(X0)) = X1)),
% 59.37/10.03    inference(rectify,[],[f1400])).
% 59.37/10.03  tff(f1400,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0] : divide_divide(X0,X7,one_one(X0)) = X7)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1399_bits__div__by__1)).
% 59.37/10.03  tff(f71473,plain,(
% 59.37/10.03    spl2737_1443),
% 59.37/10.03    inference(avatar_split_clause,[],[f39326,f71471])).
% 59.37/10.03  tff(f71471,plain,(
% 59.37/10.03    spl2737_1443 <=> ! [X0 : $tType] : (one_one(X0) = euclid7384307370059645450egment(X0,one_one(X0)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1443])])).
% 59.37/10.03  tff(f39326,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = euclid7384307370059645450egment(X0,one_one(X0)) | ~euclid5411537665997757685th_nat(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20304])).
% 59.37/10.03  tff(f20304,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = euclid7384307370059645450egment(X0,one_one(X0)) | ~euclid5411537665997757685th_nat(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7036])).
% 59.37/10.03  tff(f7036,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (euclid5411537665997757685th_nat(X0) => one_one(X0) = euclid7384307370059645450egment(X0,one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7035_division__segment__1)).
% 59.37/10.03  tff(f71469,plain,(
% 59.37/10.03    spl2737_1442),
% 59.37/10.03    inference(avatar_split_clause,[],[f39110,f71467])).
% 59.37/10.03  tff(f71467,plain,(
% 59.37/10.03    spl2737_1442 <=> ! [X0 : $tType,X1 : X0] : (modulo_modulo(X0,X1,zero_zero(X0)) = X1 | ~semidom_modulo(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1442])])).
% 59.37/10.03  tff(f39110,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (modulo_modulo(X0,X1,zero_zero(X0)) = X1 | ~semidom_modulo(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20207])).
% 59.37/10.03  tff(f20207,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : modulo_modulo(X0,X1,zero_zero(X0)) = X1 | ~semidom_modulo(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f11997])).
% 59.37/10.03  tff(f11997,plain,(
% 59.37/10.03    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : modulo_modulo(X0,X1,zero_zero(X0)) = X1)),
% 59.37/10.03    inference(rectify,[],[f1782])).
% 59.37/10.03  tff(f1782,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X7 : X0] : modulo_modulo(X0,X7,zero_zero(X0)) = X7)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1781_mod__by__0)).
% 59.37/10.03  tff(f71465,plain,(
% 59.37/10.03    spl2737_1441),
% 59.37/10.03    inference(avatar_split_clause,[],[f39109,f71463])).
% 59.37/10.03  tff(f71463,plain,(
% 59.37/10.03    spl2737_1441 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,X1) | ~semidom_modulo(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1441])])).
% 59.37/10.03  tff(f39109,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) = modulo_modulo(X0,X1,X1) | ~semidom_modulo(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20206])).
% 59.37/10.03  tff(f20206,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,X1) | ~semidom_modulo(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f11996])).
% 59.37/10.03  tff(f11996,plain,(
% 59.37/10.03    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X1 : X0] : zero_zero(X0) = modulo_modulo(X0,X1,X1))),
% 59.37/10.03    inference(rectify,[],[f1783])).
% 59.37/10.03  tff(f1783,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semidom_modulo(X0) => ! [X7 : X0] : zero_zero(X0) = modulo_modulo(X0,X7,X7))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1782_mod__self)).
% 59.37/10.03  tff(f71461,plain,(
% 59.37/10.03    spl2737_1440),
% 59.37/10.03    inference(avatar_split_clause,[],[f38403,f71459])).
% 59.37/10.03  tff(f71459,plain,(
% 59.37/10.03    spl2737_1440 <=> ! [X0 : $tType] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,zero_zero(X0)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1440])])).
% 59.37/10.03  tff(f38403,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,zero_zero(X0)) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f19679])).
% 59.37/10.03  tff(f19679,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(real) = real_V7770717601297561774m_norm(X0,zero_zero(X0)) | ~real_V822414075346904944vector(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f2059])).
% 59.37/10.03  tff(f2059,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => zero_zero(real) = real_V7770717601297561774m_norm(X0,zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2058_norm__zero)).
% 59.37/10.03  tff(f71457,plain,(
% 59.37/10.03    spl2737_1439),
% 59.37/10.03    inference(avatar_split_clause,[],[f37479,f71455])).
% 59.37/10.03  tff(f71455,plain,(
% 59.37/10.03    spl2737_1439 <=> ! [X0 : $tType] : (zero_zero(int) = archimedean_ceiling(X0,zero_zero(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1439])])).
% 59.37/10.03  tff(f37479,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(int) = archimedean_ceiling(X0,zero_zero(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f19173])).
% 59.37/10.03  tff(f19173,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(int) = archimedean_ceiling(X0,zero_zero(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f336])).
% 59.37/10.03  tff(f336,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => zero_zero(int) = archimedean_ceiling(X0,zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_ceiling__zero)).
% 59.37/10.03  tff(f71453,plain,(
% 59.37/10.03    spl2737_1438),
% 59.37/10.03    inference(avatar_split_clause,[],[f37478,f71451])).
% 59.37/10.03  tff(f71451,plain,(
% 59.37/10.03    spl2737_1438 <=> ! [X0 : $tType] : (zero_zero(int) = archimedean_round(X0,zero_zero(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1438])])).
% 59.37/10.03  tff(f37478,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(int) = archimedean_round(X0,zero_zero(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f19172])).
% 59.37/10.03  tff(f19172,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(int) = archimedean_round(X0,zero_zero(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f2081])).
% 59.37/10.03  tff(f2081,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => zero_zero(int) = archimedean_round(X0,zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2080_round__0)).
% 59.37/10.03  tff(f71449,plain,(
% 59.37/10.03    spl2737_1437),
% 59.37/10.03    inference(avatar_split_clause,[],[f37477,f71447])).
% 59.37/10.03  tff(f71447,plain,(
% 59.37/10.03    spl2737_1437 <=> ! [X0 : $tType] : (one_one(int) = archimedean_ceiling(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1437])])).
% 59.37/10.03  tff(f37477,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(int) = archimedean_ceiling(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f19171])).
% 59.37/10.03  tff(f19171,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(int) = archimedean_ceiling(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f310])).
% 59.37/10.03  tff(f310,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => one_one(int) = archimedean_ceiling(X0,one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_ceiling__one)).
% 59.37/10.03  tff(f71445,plain,(
% 59.37/10.03    spl2737_1436 | ~spl2737_85 | ~spl2737_918),
% 59.37/10.03    inference(avatar_split_clause,[],[f69091,f68729,f64644,f71442])).
% 59.37/10.03  tff(f71442,plain,(
% 59.37/10.03    spl2737_1436 <=> sP99(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1436])])).
% 59.37/10.03  tff(f68729,plain,(
% 59.37/10.03    spl2737_918 <=> ! [X0 : $tType] : (sP99(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_918])])).
% 59.37/10.03  tff(f69091,plain,(
% 59.37/10.03    sP99(real) | (~spl2737_85 | ~spl2737_918)),
% 59.37/10.03    inference(resolution,[],[f68730,f64646])).
% 59.37/10.03  tff(f68730,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP99(X0)) ) | ~spl2737_918),
% 59.37/10.03    inference(avatar_component_clause,[],[f68729])).
% 59.37/10.03  tff(f71440,plain,(
% 59.37/10.03    spl2737_1435),
% 59.37/10.03    inference(avatar_split_clause,[],[f37476,f71438])).
% 59.37/10.03  tff(f71438,plain,(
% 59.37/10.03    spl2737_1435 <=> ! [X0 : $tType] : (one_one(int) = archimedean_round(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1435])])).
% 59.37/10.03  tff(f37476,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(int) = archimedean_round(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f19170])).
% 59.37/10.03  tff(f19170,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(int) = archimedean_round(X0,one_one(X0)) | ~archim2362893244070406136eiling(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f2082])).
% 59.37/10.03  tff(f2082,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (archim2362893244070406136eiling(X0) => one_one(int) = archimedean_round(X0,one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2081_round__1)).
% 59.37/10.03  tff(f71436,plain,(
% 59.37/10.03    spl2737_1434),
% 59.37/10.03    inference(avatar_split_clause,[],[f36775,f71434])).
% 59.37/10.03  tff(f71434,plain,(
% 59.37/10.03    spl2737_1434 <=> ! [X0 : $tType] : (one_one(X0) = unit_f5069060285200089521factor(X0,one_one(X0)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1434])])).
% 59.37/10.03  tff(f36775,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (one_one(X0) = unit_f5069060285200089521factor(X0,one_one(X0)) | ~normal8620421768224518004emidom(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18674])).
% 59.37/10.03  tff(f18674,plain,(
% 59.37/10.03    ! [X0 : $tType] : (one_one(X0) = unit_f5069060285200089521factor(X0,one_one(X0)) | ~normal8620421768224518004emidom(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7718])).
% 59.37/10.03  tff(f7718,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (normal8620421768224518004emidom(X0) => one_one(X0) = unit_f5069060285200089521factor(X0,one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7717_unit__factor__1)).
% 59.37/10.03  tff(f71432,plain,(
% 59.37/10.03    spl2737_1433),
% 59.37/10.03    inference(avatar_split_clause,[],[f36692,f71430])).
% 59.37/10.03  tff(f71430,plain,(
% 59.37/10.03    spl2737_1433 <=> ! [X0 : $tType] : (zero_zero(X0) = real_Vector_of_real(X0,zero_zero(real)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1433])])).
% 59.37/10.03  tff(f36692,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) = real_Vector_of_real(X0,zero_zero(real)) | ~real_V2191834092415804123ebra_1(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18623])).
% 59.37/10.03  tff(f18623,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(X0) = real_Vector_of_real(X0,zero_zero(real)) | ~real_V2191834092415804123ebra_1(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f2297])).
% 59.37/10.03  tff(f2297,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (real_V2191834092415804123ebra_1(X0) => zero_zero(X0) = real_Vector_of_real(X0,zero_zero(real)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2296_of__real__0)).
% 59.37/10.03  tff(f71428,plain,(
% 59.37/10.03    spl2737_1432),
% 59.37/10.03    inference(avatar_split_clause,[],[f36542,f71426])).
% 59.37/10.03  tff(f71426,plain,(
% 59.37/10.03    spl2737_1432 <=> ! [X0 : $tType] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | ~semido2269285787275462019factor(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1432])])).
% 59.37/10.03  tff(f36542,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | ~semido2269285787275462019factor(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18526])).
% 59.37/10.03  tff(f18526,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)) | ~semido2269285787275462019factor(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7717])).
% 59.37/10.03  tff(f7717,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semido2269285787275462019factor(X0) => zero_zero(X0) = unit_f5069060285200089521factor(X0,zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7716_unit__factor__0)).
% 59.37/10.03  tff(f71424,plain,(
% 59.37/10.03    spl2737_1431),
% 59.37/10.03    inference(avatar_split_clause,[],[f36399,f71422])).
% 59.37/10.03  tff(f71422,plain,(
% 59.37/10.03    spl2737_1431 <=> ! [X0 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK567(X0))) | ~sP0(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1431])])).
% 59.37/10.03  tff(f36399,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK567(X0))) | ~sP0(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f27950])).
% 59.37/10.03  tff(f27950,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK567(X0))) & vEBT_Leaf(fTrue,sK567(X0)) = X0) | ~sP0(X0))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK567])],[f27948,f27949])).
% 59.37/10.03  tff(f27949,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT] : (? [X1 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X1)) & vEBT_Leaf(fTrue,X1) = X0) => (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK567(X0))) & vEBT_Leaf(fTrue,sK567(X0)) = X0))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f27948,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT] : (? [X1 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X1)) & vEBT_Leaf(fTrue,X1) = X0) | ~sP0(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27091])).
% 59.37/10.03  tff(f27091,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT] : (? [X1 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X1)) & vEBT_Leaf(fTrue,X1) = X0) | ~sP0(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
% 59.37/10.03  tff(f71420,plain,(
% 59.37/10.03    spl2737_1430),
% 59.37/10.03    inference(avatar_split_clause,[],[f35818,f71418])).
% 59.37/10.03  tff(f71418,plain,(
% 59.37/10.03    spl2737_1430 <=> ! [X0 : nat] : aa(nat,nat,aTP_Lamp_az(nat,nat),X0) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1430])])).
% 59.37/10.03  tff(f35818,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (aa(nat,nat,aTP_Lamp_az(nat,nat),X0) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9988])).
% 59.37/10.03  tff(f9988,plain,(
% 59.37/10.03    ! [X0 : nat] : aa(nat,nat,aTP_Lamp_az(nat,nat),X0) = X0),
% 59.37/10.03    inference(rectify,[],[f8948])).
% 59.37/10.03  tff(f8948,axiom,(
% 59.37/10.03    ! [X94 : nat] : aa(nat,nat,aTP_Lamp_az(nat,nat),X94) = X94),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8947_ATP_Olambda__832)).
% 59.37/10.03  tff(f71416,plain,(
% 59.37/10.03    spl2737_1429),
% 59.37/10.03    inference(avatar_split_clause,[],[f35817,f71414])).
% 59.37/10.03  tff(f71414,plain,(
% 59.37/10.03    spl2737_1429 <=> ! [X0 : nat] : aa(nat,nat,binomial(X0),one_one(nat)) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1429])])).
% 59.37/10.03  tff(f35817,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (aa(nat,nat,binomial(X0),one_one(nat)) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9987])).
% 59.37/10.03  tff(f9987,plain,(
% 59.37/10.03    ! [X0 : nat] : aa(nat,nat,binomial(X0),one_one(nat)) = X0),
% 59.37/10.03    inference(rectify,[],[f2641])).
% 59.37/10.03  tff(f2641,axiom,(
% 59.37/10.03    ! [X8 : nat] : aa(nat,nat,binomial(X8),one_one(nat)) = X8),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2640_choose__one)).
% 59.37/10.03  tff(f71412,plain,(
% 59.37/10.03    spl2737_1428),
% 59.37/10.03    inference(avatar_split_clause,[],[f35816,f71410])).
% 59.37/10.03  tff(f71410,plain,(
% 59.37/10.03    spl2737_1428 <=> ! [X0 : int] : aa(int,int,aTP_Lamp_bj(int,int),X0) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1428])])).
% 59.37/10.03  tff(f35816,plain,(
% 59.37/10.03    ( ! [X0 : int] : (aa(int,int,aTP_Lamp_bj(int,int),X0) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9986])).
% 59.37/10.03  tff(f9986,plain,(
% 59.37/10.03    ! [X0 : int] : aa(int,int,aTP_Lamp_bj(int,int),X0) = X0),
% 59.37/10.03    inference(rectify,[],[f8949])).
% 59.37/10.03  tff(f8949,axiom,(
% 59.37/10.03    ! [X94 : int] : aa(int,int,aTP_Lamp_bj(int,int),X94) = X94),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8948_ATP_Olambda__833)).
% 59.37/10.03  tff(f71408,plain,(
% 59.37/10.03    spl2737_1427),
% 59.37/10.03    inference(avatar_split_clause,[],[f35815,f71406])).
% 59.37/10.03  tff(f71406,plain,(
% 59.37/10.03    spl2737_1427 <=> ! [X0 : real] : aa(real,real,aTP_Lamp_aei(real,real),X0) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1427])])).
% 59.37/10.03  tff(f35815,plain,(
% 59.37/10.03    ( ! [X0 : real] : (aa(real,real,aTP_Lamp_aei(real,real),X0) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9985])).
% 59.37/10.03  tff(f9985,plain,(
% 59.37/10.03    ! [X0 : real] : aa(real,real,aTP_Lamp_aei(real,real),X0) = X0),
% 59.37/10.03    inference(rectify,[],[f8947])).
% 59.37/10.03  tff(f8947,axiom,(
% 59.37/10.03    ! [X94 : real] : aa(real,real,aTP_Lamp_aei(real,real),X94) = X94),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8946_ATP_Olambda__831)).
% 59.37/10.03  tff(f71404,plain,(
% 59.37/10.03    spl2737_1426),
% 59.37/10.03    inference(avatar_split_clause,[],[f35814,f71402])).
% 59.37/10.03  tff(f71402,plain,(
% 59.37/10.03    spl2737_1426 <=> ! [X0 : complex] : aa(complex,complex,aTP_Lamp_dp(complex,complex),X0) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1426])])).
% 59.37/10.03  tff(f35814,plain,(
% 59.37/10.03    ( ! [X0 : complex] : (aa(complex,complex,aTP_Lamp_dp(complex,complex),X0) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9984])).
% 59.37/10.03  tff(f9984,plain,(
% 59.37/10.03    ! [X0 : complex] : aa(complex,complex,aTP_Lamp_dp(complex,complex),X0) = X0),
% 59.37/10.03    inference(rectify,[],[f8946])).
% 59.37/10.03  tff(f8946,axiom,(
% 59.37/10.03    ! [X94 : complex] : aa(complex,complex,aTP_Lamp_dp(complex,complex),X94) = X94),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8945_ATP_Olambda__830)).
% 59.37/10.03  tff(f71400,plain,(
% 59.37/10.03    spl2737_1425 | ~spl2737_84 | ~spl2737_918),
% 59.37/10.03    inference(avatar_split_clause,[],[f69090,f68729,f64639,f71397])).
% 59.37/10.03  tff(f71397,plain,(
% 59.37/10.03    spl2737_1425 <=> sP99(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1425])])).
% 59.37/10.03  tff(f69090,plain,(
% 59.37/10.03    sP99(rat) | (~spl2737_84 | ~spl2737_918)),
% 59.37/10.03    inference(resolution,[],[f68730,f64641])).
% 59.37/10.03  tff(f71395,plain,(
% 59.37/10.03    spl2737_1424),
% 59.37/10.03    inference(avatar_split_clause,[],[f35810,f71393])).
% 59.37/10.03  tff(f71393,plain,(
% 59.37/10.03    spl2737_1424 <=> ! [X0 : nat] : one_one(nat) = aa(nat,nat,binomial(X0),X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1424])])).
% 59.37/10.03  tff(f35810,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (one_one(nat) = aa(nat,nat,binomial(X0),X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9980])).
% 59.37/10.03  tff(f9980,plain,(
% 59.37/10.03    ! [X0 : nat] : one_one(nat) = aa(nat,nat,binomial(X0),X0)),
% 59.37/10.03    inference(rectify,[],[f2618])).
% 59.37/10.03  tff(f2618,axiom,(
% 59.37/10.03    ! [X8 : nat] : one_one(nat) = aa(nat,nat,binomial(X8),X8)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2617_binomial__n__n)).
% 59.37/10.03  tff(f71391,plain,(
% 59.37/10.03    spl2737_1423),
% 59.37/10.03    inference(avatar_split_clause,[],[f35478,f71388])).
% 59.37/10.03  tff(f71388,plain,(
% 59.37/10.03    spl2737_1423 <=> filterlim(int,real,ring_1_of_int(real),at_top(real),at_top(int))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1423])])).
% 59.37/10.03  tff(f35478,plain,(
% 59.37/10.03    filterlim(int,real,ring_1_of_int(real),at_top(real),at_top(int))),
% 59.37/10.03    inference(cnf_transformation,[],[f6033])).
% 59.37/10.03  tff(f6033,axiom,(
% 59.37/10.03    filterlim(int,real,ring_1_of_int(real),at_top(real),at_top(int))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6032_filterlim__real__of__int__at__top)).
% 59.37/10.03  tff(f71386,plain,(
% 59.37/10.03    spl2737_1422),
% 59.37/10.03    inference(avatar_split_clause,[],[f35477,f71383])).
% 59.37/10.03  tff(f71383,plain,(
% 59.37/10.03    spl2737_1422 <=> filterlim(real,real,uminus_uminus(real),at_top(real),at_bot(real))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1422])])).
% 59.37/10.03  tff(f35477,plain,(
% 59.37/10.03    filterlim(real,real,uminus_uminus(real),at_top(real),at_bot(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f6110])).
% 59.37/10.03  tff(f6110,axiom,(
% 59.37/10.03    filterlim(real,real,uminus_uminus(real),at_top(real),at_bot(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6109_filterlim__uminus__at__top__at__bot)).
% 59.37/10.03  tff(f71381,plain,(
% 59.37/10.03    spl2737_1421),
% 59.37/10.03    inference(avatar_split_clause,[],[f35476,f71378])).
% 59.37/10.03  tff(f71378,plain,(
% 59.37/10.03    spl2737_1421 <=> filterlim(real,real,uminus_uminus(real),at_bot(real),at_top(real))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1421])])).
% 59.37/10.03  tff(f35476,plain,(
% 59.37/10.03    filterlim(real,real,uminus_uminus(real),at_bot(real),at_top(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f6109])).
% 59.37/10.03  tff(f6109,axiom,(
% 59.37/10.03    filterlim(real,real,uminus_uminus(real),at_bot(real),at_top(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6108_filterlim__uminus__at__bot__at__top)).
% 59.37/10.03  tff(f71376,plain,(
% 59.37/10.03    spl2737_1420),
% 59.37/10.03    inference(avatar_split_clause,[],[f35467,f71373])).
% 59.37/10.03  tff(f71373,plain,(
% 59.37/10.03    spl2737_1420 <=> zero_zero(int) = aa(code_integer,int,code_int_of_integer,zero_zero(code_integer))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1420])])).
% 59.37/10.03  tff(f35467,plain,(
% 59.37/10.03    zero_zero(int) = aa(code_integer,int,code_int_of_integer,zero_zero(code_integer))),
% 59.37/10.03    inference(cnf_transformation,[],[f4690])).
% 59.37/10.03  tff(f4690,axiom,(
% 59.37/10.03    zero_zero(int) = aa(code_integer,int,code_int_of_integer,zero_zero(code_integer))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4689_zero__integer_Orep__eq)).
% 59.37/10.03  tff(f71371,plain,(
% 59.37/10.03    spl2737_1419),
% 59.37/10.03    inference(avatar_split_clause,[],[f35465,f71368])).
% 59.37/10.03  tff(f71368,plain,(
% 59.37/10.03    spl2737_1419 <=> zero_zero(real) = aa(rat,real,ratreal,zero_zero(rat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1419])])).
% 59.37/10.03  tff(f35465,plain,(
% 59.37/10.03    zero_zero(real) = aa(rat,real,ratreal,zero_zero(rat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7802])).
% 59.37/10.03  tff(f7802,axiom,(
% 59.37/10.03    zero_zero(real) = aa(rat,real,ratreal,zero_zero(rat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7801_zero__real__code)).
% 59.37/10.03  tff(f71366,plain,(
% 59.37/10.03    spl2737_1418),
% 59.37/10.03    inference(avatar_split_clause,[],[f35463,f71363])).
% 59.37/10.03  tff(f71363,plain,(
% 59.37/10.03    spl2737_1418 <=> zero_zero(code_integer) = aa(int,code_integer,code_integer_of_int,zero_zero(int))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1418])])).
% 59.37/10.03  tff(f35463,plain,(
% 59.37/10.03    zero_zero(code_integer) = aa(int,code_integer,code_integer_of_int,zero_zero(int))),
% 59.37/10.03    inference(cnf_transformation,[],[f4405])).
% 59.37/10.03  tff(f4405,axiom,(
% 59.37/10.03    zero_zero(code_integer) = aa(int,code_integer,code_integer_of_int,zero_zero(int))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4404_zero__integer__def)).
% 59.37/10.03  tff(f71361,plain,(
% 59.37/10.03    spl2737_1417),
% 59.37/10.03    inference(avatar_split_clause,[],[f35461,f71358])).
% 59.37/10.03  tff(f71358,plain,(
% 59.37/10.03    spl2737_1417 <=> one_one(nat) = aa(int,nat,nat2,one_one(int))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1417])])).
% 59.37/10.03  tff(f35461,plain,(
% 59.37/10.03    one_one(nat) = aa(int,nat,nat2,one_one(int))),
% 59.37/10.03    inference(cnf_transformation,[],[f462])).
% 59.37/10.03  tff(f462,axiom,(
% 59.37/10.03    one_one(nat) = aa(int,nat,nat2,one_one(int))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_461_nat__one__as__int)).
% 59.37/10.03  tff(f71356,plain,(
% 59.37/10.03    spl2737_1416),
% 59.37/10.03    inference(avatar_split_clause,[],[f35458,f71353])).
% 59.37/10.03  tff(f71353,plain,(
% 59.37/10.03    spl2737_1416 <=> one_one(nat) = aa(code_natural,nat,code_nat_of_natural,one_one(code_natural))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1416])])).
% 59.37/10.03  tff(f35458,plain,(
% 59.37/10.03    one_one(nat) = aa(code_natural,nat,code_nat_of_natural,one_one(code_natural))),
% 59.37/10.03    inference(cnf_transformation,[],[f7911])).
% 59.37/10.03  tff(f7911,axiom,(
% 59.37/10.03    one_one(nat) = aa(code_natural,nat,code_nat_of_natural,one_one(code_natural))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7910_one__natural_Orep__eq)).
% 59.37/10.03  tff(f71351,plain,(
% 59.37/10.03    spl2737_1415),
% 59.37/10.03    inference(avatar_split_clause,[],[f35451,f71348])).
% 59.37/10.03  tff(f71348,plain,(
% 59.37/10.03    spl2737_1415 <=> one_one(code_natural) = aa(nat,code_natural,code_natural_of_nat,one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1415])])).
% 59.37/10.03  tff(f35451,plain,(
% 59.37/10.03    one_one(code_natural) = aa(nat,code_natural,code_natural_of_nat,one_one(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7942])).
% 59.37/10.03  tff(f7942,axiom,(
% 59.37/10.03    one_one(code_natural) = aa(nat,code_natural,code_natural_of_nat,one_one(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7941_one__natural__def)).
% 59.37/10.03  tff(f71346,plain,(
% 59.37/10.03    spl2737_1414 | ~spl2737_85 | ~spl2737_917),
% 59.37/10.03    inference(avatar_split_clause,[],[f69089,f68725,f64644,f71343])).
% 59.37/10.03  tff(f71343,plain,(
% 59.37/10.03    spl2737_1414 <=> sP96(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1414])])).
% 59.37/10.03  tff(f68725,plain,(
% 59.37/10.03    spl2737_917 <=> ! [X0 : $tType] : (sP96(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_917])])).
% 59.37/10.03  tff(f69089,plain,(
% 59.37/10.03    sP96(real) | (~spl2737_85 | ~spl2737_917)),
% 59.37/10.03    inference(resolution,[],[f68726,f64646])).
% 59.37/10.03  tff(f68726,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP96(X0)) ) | ~spl2737_917),
% 59.37/10.03    inference(avatar_component_clause,[],[f68725])).
% 59.37/10.03  tff(f71341,plain,(
% 59.37/10.03    spl2737_1413),
% 59.37/10.03    inference(avatar_split_clause,[],[f35450,f71338])).
% 59.37/10.03  tff(f71338,plain,(
% 59.37/10.03    spl2737_1413 <=> ord_max(nat) = sup_sup(nat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1413])])).
% 59.37/10.03  tff(f35450,plain,(
% 59.37/10.03    ord_max(nat) = sup_sup(nat)),
% 59.37/10.03    inference(cnf_transformation,[],[f6373])).
% 59.37/10.03  tff(f6373,axiom,(
% 59.37/10.03    ord_max(nat) = sup_sup(nat)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6372_sup__nat__def)).
% 59.37/10.03  tff(f71336,plain,(
% 59.37/10.03    spl2737_1412),
% 59.37/10.03    inference(avatar_split_clause,[],[f35449,f71333])).
% 59.37/10.03  tff(f71333,plain,(
% 59.37/10.03    spl2737_1412 <=> ord_max(int) = sup_sup(int)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1412])])).
% 59.37/10.03  tff(f35449,plain,(
% 59.37/10.03    ord_max(int) = sup_sup(int)),
% 59.37/10.03    inference(cnf_transformation,[],[f6374])).
% 59.37/10.03  tff(f6374,axiom,(
% 59.37/10.03    ord_max(int) = sup_sup(int)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6373_sup__int__def)).
% 59.37/10.03  tff(f71331,plain,(
% 59.37/10.03    spl2737_1411),
% 59.37/10.03    inference(avatar_split_clause,[],[f35448,f71328])).
% 59.37/10.03  tff(f71328,plain,(
% 59.37/10.03    spl2737_1411 <=> ord_min(nat) = inf_inf(nat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1411])])).
% 59.37/10.03  tff(f35448,plain,(
% 59.37/10.03    ord_min(nat) = inf_inf(nat)),
% 59.37/10.03    inference(cnf_transformation,[],[f5127])).
% 59.37/10.03  tff(f5127,axiom,(
% 59.37/10.03    ord_min(nat) = inf_inf(nat)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5126_inf__nat__def)).
% 59.37/10.03  tff(f71326,plain,(
% 59.37/10.03    spl2737_1410),
% 59.37/10.03    inference(avatar_split_clause,[],[f35447,f71323])).
% 59.37/10.03  tff(f71323,plain,(
% 59.37/10.03    spl2737_1410 <=> ord_min(int) = inf_inf(int)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1410])])).
% 59.37/10.03  tff(f35447,plain,(
% 59.37/10.03    ord_min(int) = inf_inf(int)),
% 59.37/10.03    inference(cnf_transformation,[],[f5151])).
% 59.37/10.03  tff(f5151,axiom,(
% 59.37/10.03    ord_min(int) = inf_inf(int)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5150_inf__int__def)).
% 59.37/10.03  tff(f71321,plain,(
% 59.37/10.03    spl2737_1409),
% 59.37/10.03    inference(avatar_split_clause,[],[f35446,f71318])).
% 59.37/10.03  tff(f71318,plain,(
% 59.37/10.03    spl2737_1409 <=> field_char_0_Rats(real) = collect(real,aTP_Lamp_og(real,bool))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1409])])).
% 59.37/10.03  tff(f35446,plain,(
% 59.37/10.03    field_char_0_Rats(real) = collect(real,aTP_Lamp_og(real,bool))),
% 59.37/10.03    inference(cnf_transformation,[],[f5331])).
% 59.37/10.03  tff(f5331,axiom,(
% 59.37/10.03    field_char_0_Rats(real) = collect(real,aTP_Lamp_og(real,bool))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5330_Rats__eq__int__div__nat)).
% 59.37/10.03  tff(f71316,plain,(
% 59.37/10.03    spl2737_1408),
% 59.37/10.03    inference(avatar_split_clause,[],[f35445,f71313])).
% 59.37/10.03  tff(f71313,plain,(
% 59.37/10.03    spl2737_1408 <=> field_char_0_Rats(real) = collect(real,aTP_Lamp_oh(real,bool))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1408])])).
% 59.37/10.03  tff(f35445,plain,(
% 59.37/10.03    field_char_0_Rats(real) = collect(real,aTP_Lamp_oh(real,bool))),
% 59.37/10.03    inference(cnf_transformation,[],[f5354])).
% 59.37/10.03  tff(f5354,axiom,(
% 59.37/10.03    field_char_0_Rats(real) = collect(real,aTP_Lamp_oh(real,bool))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5353_Rats__eq__int__div__int)).
% 59.37/10.03  tff(f71308,plain,(
% 59.37/10.03    spl2737_1407 | ~spl2737_84 | ~spl2737_917),
% 59.37/10.03    inference(avatar_split_clause,[],[f69088,f68725,f64639,f71305])).
% 59.37/10.03  tff(f71305,plain,(
% 59.37/10.03    spl2737_1407 <=> sP96(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1407])])).
% 59.37/10.03  tff(f69088,plain,(
% 59.37/10.03    sP96(rat) | (~spl2737_84 | ~spl2737_917)),
% 59.37/10.03    inference(resolution,[],[f68726,f64641])).
% 59.37/10.03  tff(f71301,plain,(
% 59.37/10.03    spl2737_1406 | ~spl2737_85 | ~spl2737_916),
% 59.37/10.03    inference(avatar_split_clause,[],[f69087,f68721,f64644,f71298])).
% 59.37/10.03  tff(f71298,plain,(
% 59.37/10.03    spl2737_1406 <=> sP93(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1406])])).
% 59.37/10.03  tff(f68721,plain,(
% 59.37/10.03    spl2737_916 <=> ! [X0 : $tType] : (sP93(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_916])])).
% 59.37/10.03  tff(f69087,plain,(
% 59.37/10.03    sP93(real) | (~spl2737_85 | ~spl2737_916)),
% 59.37/10.03    inference(resolution,[],[f68722,f64646])).
% 59.37/10.03  tff(f68722,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP93(X0)) ) | ~spl2737_916),
% 59.37/10.03    inference(avatar_component_clause,[],[f68721])).
% 59.37/10.03  tff(f71292,plain,(
% 59.37/10.03    spl2737_1405 | ~spl2737_84 | ~spl2737_916),
% 59.37/10.03    inference(avatar_split_clause,[],[f69086,f68721,f64639,f71289])).
% 59.37/10.03  tff(f71289,plain,(
% 59.37/10.03    spl2737_1405 <=> sP93(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1405])])).
% 59.37/10.03  tff(f69086,plain,(
% 59.37/10.03    sP93(rat) | (~spl2737_84 | ~spl2737_916)),
% 59.37/10.03    inference(resolution,[],[f68722,f64641])).
% 59.37/10.03  tff(f71283,plain,(
% 59.37/10.03    spl2737_1404 | ~spl2737_85 | ~spl2737_915),
% 59.37/10.03    inference(avatar_split_clause,[],[f69085,f68717,f64644,f71280])).
% 59.37/10.03  tff(f71280,plain,(
% 59.37/10.03    spl2737_1404 <=> sP90(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1404])])).
% 59.37/10.03  tff(f68717,plain,(
% 59.37/10.03    spl2737_915 <=> ! [X0 : $tType] : (sP90(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_915])])).
% 59.37/10.03  tff(f69085,plain,(
% 59.37/10.03    sP90(real) | (~spl2737_85 | ~spl2737_915)),
% 59.37/10.03    inference(resolution,[],[f68718,f64646])).
% 59.37/10.03  tff(f68718,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP90(X0)) ) | ~spl2737_915),
% 59.37/10.03    inference(avatar_component_clause,[],[f68717])).
% 59.37/10.03  tff(f71264,plain,(
% 59.37/10.03    spl2737_1403 | ~spl2737_84 | ~spl2737_915),
% 59.37/10.03    inference(avatar_split_clause,[],[f69084,f68717,f64639,f71261])).
% 59.37/10.03  tff(f71261,plain,(
% 59.37/10.03    spl2737_1403 <=> sP90(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1403])])).
% 59.37/10.03  tff(f69084,plain,(
% 59.37/10.03    sP90(rat) | (~spl2737_84 | ~spl2737_915)),
% 59.37/10.03    inference(resolution,[],[f68718,f64641])).
% 59.37/10.03  tff(f71257,plain,(
% 59.37/10.03    spl2737_1402 | ~spl2737_85 | ~spl2737_914),
% 59.37/10.03    inference(avatar_split_clause,[],[f69083,f68713,f64644,f71254])).
% 59.37/10.03  tff(f71254,plain,(
% 59.37/10.03    spl2737_1402 <=> sP87(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1402])])).
% 59.37/10.03  tff(f68713,plain,(
% 59.37/10.03    spl2737_914 <=> ! [X0 : $tType] : (sP87(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_914])])).
% 59.37/10.03  tff(f69083,plain,(
% 59.37/10.03    sP87(real) | (~spl2737_85 | ~spl2737_914)),
% 59.37/10.03    inference(resolution,[],[f68714,f64646])).
% 59.37/10.03  tff(f68714,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP87(X0)) ) | ~spl2737_914),
% 59.37/10.03    inference(avatar_component_clause,[],[f68713])).
% 59.37/10.03  tff(f71251,plain,(
% 59.37/10.03    spl2737_1401 | ~spl2737_84 | ~spl2737_914),
% 59.37/10.03    inference(avatar_split_clause,[],[f69082,f68713,f64639,f71248])).
% 59.37/10.03  tff(f71248,plain,(
% 59.37/10.03    spl2737_1401 <=> sP87(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1401])])).
% 59.37/10.03  tff(f69082,plain,(
% 59.37/10.03    sP87(rat) | (~spl2737_84 | ~spl2737_914)),
% 59.37/10.03    inference(resolution,[],[f68714,f64641])).
% 59.37/10.03  tff(f71238,plain,(
% 59.37/10.03    spl2737_1400 | ~spl2737_85 | ~spl2737_913),
% 59.37/10.03    inference(avatar_split_clause,[],[f69081,f68709,f64644,f71235])).
% 59.37/10.03  tff(f71235,plain,(
% 59.37/10.03    spl2737_1400 <=> sP84(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1400])])).
% 59.37/10.03  tff(f68709,plain,(
% 59.37/10.03    spl2737_913 <=> ! [X0 : $tType] : (sP84(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_913])])).
% 59.37/10.03  tff(f69081,plain,(
% 59.37/10.03    sP84(real) | (~spl2737_85 | ~spl2737_913)),
% 59.37/10.03    inference(resolution,[],[f68710,f64646])).
% 59.37/10.03  tff(f68710,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP84(X0)) ) | ~spl2737_913),
% 59.37/10.03    inference(avatar_component_clause,[],[f68709])).
% 59.37/10.03  tff(f71227,plain,(
% 59.37/10.03    spl2737_1399 | ~spl2737_84 | ~spl2737_913),
% 59.37/10.03    inference(avatar_split_clause,[],[f69080,f68709,f64639,f71224])).
% 59.37/10.03  tff(f71224,plain,(
% 59.37/10.03    spl2737_1399 <=> sP84(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1399])])).
% 59.37/10.03  tff(f69080,plain,(
% 59.37/10.03    sP84(rat) | (~spl2737_84 | ~spl2737_913)),
% 59.37/10.03    inference(resolution,[],[f68710,f64641])).
% 59.37/10.03  tff(f71193,plain,(
% 59.37/10.03    spl2737_1398 | ~spl2737_85 | ~spl2737_912),
% 59.37/10.03    inference(avatar_split_clause,[],[f69079,f68705,f64644,f71190])).
% 59.37/10.03  tff(f71190,plain,(
% 59.37/10.03    spl2737_1398 <=> sP81(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1398])])).
% 59.37/10.03  tff(f68705,plain,(
% 59.37/10.03    spl2737_912 <=> ! [X0 : $tType] : (sP81(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_912])])).
% 59.37/10.03  tff(f69079,plain,(
% 59.37/10.03    sP81(real) | (~spl2737_85 | ~spl2737_912)),
% 59.37/10.03    inference(resolution,[],[f68706,f64646])).
% 59.37/10.03  tff(f68706,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP81(X0)) ) | ~spl2737_912),
% 59.37/10.03    inference(avatar_component_clause,[],[f68705])).
% 59.37/10.03  tff(f71171,plain,(
% 59.37/10.03    spl2737_1397 | ~spl2737_84 | ~spl2737_912),
% 59.37/10.03    inference(avatar_split_clause,[],[f69078,f68705,f64639,f71168])).
% 59.37/10.03  tff(f71168,plain,(
% 59.37/10.03    spl2737_1397 <=> sP81(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1397])])).
% 59.37/10.03  tff(f69078,plain,(
% 59.37/10.03    sP81(rat) | (~spl2737_84 | ~spl2737_912)),
% 59.37/10.03    inference(resolution,[],[f68706,f64641])).
% 59.37/10.03  tff(f71151,plain,(
% 59.37/10.03    spl2737_1396 | ~spl2737_85 | ~spl2737_911),
% 59.37/10.03    inference(avatar_split_clause,[],[f69077,f68701,f64644,f71148])).
% 59.37/10.03  tff(f71148,plain,(
% 59.37/10.03    spl2737_1396 <=> sP78(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1396])])).
% 59.37/10.03  tff(f68701,plain,(
% 59.37/10.03    spl2737_911 <=> ! [X0 : $tType] : (sP78(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_911])])).
% 59.37/10.03  tff(f69077,plain,(
% 59.37/10.03    sP78(real) | (~spl2737_85 | ~spl2737_911)),
% 59.37/10.03    inference(resolution,[],[f68702,f64646])).
% 59.37/10.03  tff(f68702,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP78(X0)) ) | ~spl2737_911),
% 59.37/10.03    inference(avatar_component_clause,[],[f68701])).
% 59.37/10.03  tff(f71143,plain,(
% 59.37/10.03    spl2737_1395 | ~spl2737_84 | ~spl2737_911),
% 59.37/10.03    inference(avatar_split_clause,[],[f69076,f68701,f64639,f71140])).
% 59.37/10.03  tff(f71140,plain,(
% 59.37/10.03    spl2737_1395 <=> sP78(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1395])])).
% 59.37/10.03  tff(f69076,plain,(
% 59.37/10.03    sP78(rat) | (~spl2737_84 | ~spl2737_911)),
% 59.37/10.03    inference(resolution,[],[f68702,f64641])).
% 59.37/10.03  tff(f71133,plain,(
% 59.37/10.03    spl2737_1394 | ~spl2737_85 | ~spl2737_910),
% 59.37/10.03    inference(avatar_split_clause,[],[f69075,f68697,f64644,f71130])).
% 59.37/10.03  tff(f71130,plain,(
% 59.37/10.03    spl2737_1394 <=> sP75(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1394])])).
% 59.37/10.03  tff(f68697,plain,(
% 59.37/10.03    spl2737_910 <=> ! [X0 : $tType] : (sP75(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_910])])).
% 59.37/10.03  tff(f69075,plain,(
% 59.37/10.03    sP75(real) | (~spl2737_85 | ~spl2737_910)),
% 59.37/10.03    inference(resolution,[],[f68698,f64646])).
% 59.37/10.03  tff(f68698,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP75(X0)) ) | ~spl2737_910),
% 59.37/10.03    inference(avatar_component_clause,[],[f68697])).
% 59.37/10.03  tff(f71128,plain,(
% 59.37/10.03    spl2737_1393),
% 59.37/10.03    inference(avatar_split_clause,[],[f62475,f71126])).
% 59.37/10.03  tff(f71126,plain,(
% 59.37/10.03    spl2737_1393 <=> ! [X2 : vEBT_VEBT,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X3 : nat] : ~vEBT_V5719532721284313246member(vEBT_Node(X0,size_num(one2),X1,X2),X3)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1393])])).
% 59.37/10.03  tff(f62475,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (~vEBT_V5719532721284313246member(vEBT_Node(X0,size_num(one2),X1,X2),X3)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f48981,f35397])).
% 59.37/10.03  tff(f48981,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X3 : nat,X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT)] : (~vEBT_V5719532721284313246member(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f17597])).
% 59.37/10.03  tff(f17597,plain,(
% 59.37/10.03    ! [X0 : option(product_prod(nat,nat)),X1 : list(vEBT_VEBT),X2 : vEBT_VEBT,X3 : nat] : ~vEBT_V5719532721284313246member(vEBT_Node(X0,zero_zero(nat),X1,X2),X3)),
% 59.37/10.03    inference(rectify,[],[f414])).
% 59.37/10.03  tff(f414,axiom,(
% 59.37/10.03    ! [X94 : option(product_prod(nat,nat)),X95 : list(vEBT_VEBT),X99 : vEBT_VEBT,X100 : nat] : ~vEBT_V5719532721284313246member(vEBT_Node(X94,zero_zero(nat),X95,X99),X100)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_413_VEBT__internal_Onaive__member_Osimps_I2_J)).
% 59.37/10.03  tff(f71124,plain,(
% 59.37/10.03    spl2737_1392),
% 59.37/10.03    inference(avatar_split_clause,[],[f62129,f71122])).
% 59.37/10.03  tff(f71122,plain,(
% 59.37/10.03    spl2737_1392 <=> ! [X0 : bool,X1 : bool] : (~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),size_num(one2)) | pp(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1392])])).
% 59.37/10.03  tff(f62129,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : bool] : (~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),size_num(one2)) | pp(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53611,f35397])).
% 59.37/10.03  tff(f53611,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : bool] : (pp(X0) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),zero_zero(nat))) )),
% 59.37/10.03    inference(equality_resolution,[],[f48430])).
% 59.37/10.03  tff(f48430,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : bool,X1 : bool] : (pp(X0) | zero_zero(nat) != X2 | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33267])).
% 59.37/10.03  tff(f71120,plain,(
% 59.37/10.03    spl2737_1391),
% 59.37/10.03    inference(avatar_split_clause,[],[f61035,f71118])).
% 59.37/10.03  tff(f71118,plain,(
% 59.37/10.03    spl2737_1391 <=> ! [X0 : $tType] : nil(X0) = remdups_adj(X0,nil(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1391])])).
% 59.37/10.03  tff(f61035,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (nil(X0) = remdups_adj(X0,nil(X0))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f61034,f57486])).
% 59.37/10.03  tff(f57486,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (nil(X0) = aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1)),nil(nat))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f57485,f54231])).
% 59.37/10.03  tff(f54231,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (nil(nat) = upt(X0,size_num(one2))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35801,f35397])).
% 59.37/10.03  tff(f35801,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (nil(nat) = upt(X0,zero_zero(nat))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9971])).
% 59.37/10.03  tff(f9971,plain,(
% 59.37/10.03    ! [X0 : nat] : nil(nat) = upt(X0,zero_zero(nat))),
% 59.37/10.03    inference(rectify,[],[f5249])).
% 59.37/10.03  tff(f5249,axiom,(
% 59.37/10.03    ! [X23 : nat] : nil(nat) = upt(X23,zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5248_upt__0)).
% 59.37/10.03  tff(f57485,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (nil(X0) = aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1)),upt(size_num(one2),size_num(one2)))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f51477,f35397])).
% 59.37/10.03  tff(f51477,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (nil(X0) = aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1)),upt(zero_zero(nat),zero_zero(nat)))) )),
% 59.37/10.03    inference(definition_unfolding,[],[f43530,f47110])).
% 59.37/10.03  tff(f47110,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : nat,X1 : X0] : (aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1)),upt(zero_zero(nat),X2)) = replicate(X0,X2,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f16767])).
% 59.37/10.03  tff(f16767,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0,X2 : nat] : aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X1)),upt(zero_zero(nat),X2)) = replicate(X0,X2,X1)),
% 59.37/10.03    inference(rectify,[],[f5261])).
% 59.37/10.03  tff(f5261,axiom,(
% 59.37/10.03    ! [X0 : $tType,X14 : X0,X23 : nat] : aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X14)),upt(zero_zero(nat),X23)) = replicate(X0,X23,X14)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5260_map__replicate__trivial)).
% 59.37/10.03  tff(f43530,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (nil(X0) = replicate(X0,zero_zero(nat),X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14713])).
% 59.37/10.03  tff(f14713,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : nil(X0) = replicate(X0,zero_zero(nat),X1)),
% 59.37/10.03    inference(rectify,[],[f4988])).
% 59.37/10.03  tff(f4988,axiom,(
% 59.37/10.03    ! [X0 : $tType,X14 : X0] : nil(X0) = replicate(X0,zero_zero(nat),X14)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4987_replicate__0)).
% 59.37/10.03  tff(f61034,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0] : (nil(X0) = remdups_adj(X0,aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X2)),nil(nat)))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f61033,f54231])).
% 59.37/10.03  tff(f61033,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0] : (nil(X0) = remdups_adj(X0,aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X2)),upt(size_num(one2),size_num(one2))))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53461,f35397])).
% 59.37/10.03  tff(f53461,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0] : (nil(X0) = remdups_adj(X0,aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X2)),upt(zero_zero(nat),zero_zero(nat))))) )),
% 59.37/10.03    inference(equality_resolution,[],[f52027])).
% 59.37/10.03  tff(f52027,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (nil(X0) = remdups_adj(X0,aa(list(nat),list(X0),map(nat,X0,aTP_Lamp_nm(X0,fun(nat,X0),X2)),upt(zero_zero(nat),X1))) | zero_zero(nat) != X1) )),
% 59.37/10.03    inference(definition_unfolding,[],[f47283,f47110])).
% 59.37/10.03  tff(f47283,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : nat] : (nil(X0) = remdups_adj(X0,replicate(X0,X1,X2)) | zero_zero(nat) != X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f25536])).
% 59.37/10.03  tff(f25536,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : nat,X2 : X0] : ((cons(X0,X2,nil(X0)) = remdups_adj(X0,replicate(X0,X1,X2)) | zero_zero(nat) = X1) & (nil(X0) = remdups_adj(X0,replicate(X0,X1,X2)) | zero_zero(nat) != X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f16939])).
% 59.37/10.03  tff(f16939,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : nat,X2 : X0] : ((zero_zero(nat) != X1 => cons(X0,X2,nil(X0)) = remdups_adj(X0,replicate(X0,X1,X2))) & (zero_zero(nat) = X1 => nil(X0) = remdups_adj(X0,replicate(X0,X1,X2))))),
% 59.37/10.03    inference(rectify,[],[f5571])).
% 59.37/10.03  tff(f5571,axiom,(
% 59.37/10.03    ! [X0 : $tType,X8 : nat,X14 : X0] : ((zero_zero(nat) != X8 => cons(X0,X14,nil(X0)) = remdups_adj(X0,replicate(X0,X8,X14))) & (zero_zero(nat) = X8 => nil(X0) = remdups_adj(X0,replicate(X0,X8,X14))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5570_remdups__adj__replicate)).
% 59.37/10.03  tff(f71116,plain,(
% 59.37/10.03    spl2737_1390),
% 59.37/10.03    inference(avatar_split_clause,[],[f60823,f71114])).
% 59.37/10.03  tff(f71114,plain,(
% 59.37/10.03    spl2737_1390 <=> ! [X0 : $tType,X2 : X0] : aa(X0,X0,id(X0),X2) = X2),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1390])])).
% 59.37/10.03  tff(f60823,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0] : (aa(X0,X0,id(X0),X2) = X2) )),
% 59.37/10.03    inference(forward_demodulation,[],[f60822,f57603])).
% 59.37/10.03  tff(f57603,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(X0,X0)] : (id(X0) = aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),size_num(one2)),X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f43726,f35397])).
% 59.37/10.03  tff(f43726,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(X0,X0)] : (id(X0) = aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),zero_zero(nat)),X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14909])).
% 59.37/10.03  tff(f14909,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,X0)] : id(X0) = aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),zero_zero(nat)),X1)),
% 59.37/10.03    inference(rectify,[],[f5027])).
% 59.37/10.03  tff(f5027,axiom,(
% 59.37/10.03    ! [X0 : $tType,X32 : fun(X0,X0)] : aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),zero_zero(nat)),X32) = id(X0)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5026_funpow__simps__right_I1_J)).
% 59.37/10.03  tff(f60822,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (aa(X0,X0,aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),size_num(one2)),X1),X2) = X2) )),
% 59.37/10.03    inference(forward_demodulation,[],[f47127,f35397])).
% 59.37/10.03  tff(f47127,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,X0)] : (aa(X0,X0,aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),zero_zero(nat)),X1),X2) = X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f16784])).
% 59.37/10.03  tff(f16784,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,X0),X2 : X0] : aa(X0,X0,aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),zero_zero(nat)),X1),X2) = X2),
% 59.37/10.03    inference(rectify,[],[f4623])).
% 59.37/10.03  tff(f4623,axiom,(
% 59.37/10.03    ! [X0 : $tType,X32 : fun(X0,X0),X14 : X0] : aa(X0,X0,aa(fun(X0,X0),fun(X0,X0),aa(nat,fun(fun(X0,X0),fun(X0,X0)),compow(fun(X0,X0)),zero_zero(nat)),X32),X14) = X14),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4622_funpow__0)).
% 59.37/10.03  tff(f71112,plain,(
% 59.37/10.03    spl2737_1389),
% 59.37/10.03    inference(avatar_split_clause,[],[f60800,f71110])).
% 59.37/10.03  tff(f71110,plain,(
% 59.37/10.03    spl2737_1389 <=> ! [X0 : $tType,X2 : fun(nat,X0),X1 : X0] : case_nat(X0,X1,X2,size_num(one2)) = X1),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1389])])).
% 59.37/10.03  tff(f60800,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : X0] : (case_nat(X0,X1,X2,size_num(one2)) = X1) )),
% 59.37/10.03    inference(forward_demodulation,[],[f47075,f35397])).
% 59.37/10.03  tff(f47075,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : X0] : (case_nat(X0,X1,X2,zero_zero(nat)) = X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f16732])).
% 59.37/10.03  tff(f16732,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0,X2 : fun(nat,X0)] : case_nat(X0,X1,X2,zero_zero(nat)) = X1),
% 59.37/10.03    inference(rectify,[],[f4358])).
% 59.37/10.03  tff(f4358,axiom,(
% 59.37/10.03    ! [X0 : $tType,X232 : X0,X233 : fun(nat,X0)] : case_nat(X0,X232,X233,zero_zero(nat)) = X232),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4357_old_Onat_Osimps_I4_J)).
% 59.37/10.03  tff(f71108,plain,(
% 59.37/10.03    spl2737_1388),
% 59.37/10.03    inference(avatar_split_clause,[],[f59876,f71106])).
% 59.37/10.03  tff(f71106,plain,(
% 59.37/10.03    spl2737_1388 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP332(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1388])])).
% 59.37/10.03  tff(f59876,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP332(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f46136,f54029])).
% 59.37/10.03  tff(f46136,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fFalse,fFalse) = X1 | ~sP332(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31823])).
% 59.37/10.03  tff(f31823,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : vEBT_VEBT] : ((pp(X0) & vEBT_Leaf(fFalse,fFalse) = X1) | ~sP332(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31822])).
% 59.37/10.03  tff(f31822,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP332(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27591])).
% 59.37/10.03  tff(f27591,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP332(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP332])])).
% 59.37/10.03  tff(f71104,plain,(
% 59.37/10.03    spl2737_1387),
% 59.37/10.03    inference(avatar_split_clause,[],[f59875,f71102])).
% 59.37/10.03  tff(f71102,plain,(
% 59.37/10.03    spl2737_1387 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP326(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1387])])).
% 59.37/10.03  tff(f59875,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP326(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f46127,f54029])).
% 59.37/10.03  tff(f46127,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fFalse,fFalse) = X1 | ~sP326(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31812])).
% 59.37/10.03  tff(f71100,plain,(
% 59.37/10.03    spl2737_1386 | ~spl2737_84 | ~spl2737_910),
% 59.37/10.03    inference(avatar_split_clause,[],[f69074,f68697,f64639,f71097])).
% 59.37/10.03  tff(f71097,plain,(
% 59.37/10.03    spl2737_1386 <=> sP75(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1386])])).
% 59.37/10.03  tff(f69074,plain,(
% 59.37/10.03    sP75(rat) | (~spl2737_84 | ~spl2737_910)),
% 59.37/10.03    inference(resolution,[],[f68698,f64641])).
% 59.37/10.03  tff(f71095,plain,(
% 59.37/10.03    spl2737_1384 | spl2737_1385),
% 59.37/10.03    inference(avatar_split_clause,[],[f58970,f71092,f71089])).
% 59.37/10.03  tff(f71089,plain,(
% 59.37/10.03    spl2737_1384 <=> ! [X0 : list(nat),X1 : nat] : ~sP312(X0,X1)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1384])])).
% 59.37/10.03  tff(f58970,plain,(
% 59.37/10.03    ( ! [X0 : list(nat),X1 : nat] : (accp(nat,nat_list_decode_rel,size_num(one2)) | ~sP312(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f45235,f35397])).
% 59.37/10.03  tff(f45235,plain,(
% 59.37/10.03    ( ! [X0 : list(nat),X1 : nat] : (accp(nat,nat_list_decode_rel,zero_zero(nat)) | ~sP312(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31447])).
% 59.37/10.03  tff(f31447,plain,(
% 59.37/10.03    ! [X0 : list(nat),X1 : nat] : ((accp(nat,nat_list_decode_rel,zero_zero(nat)) & nil(nat) = X0 & zero_zero(nat) = X1) | ~sP312(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31446])).
% 59.37/10.03  tff(f31446,plain,(
% 59.37/10.03    ! [X1 : list(nat),X0 : nat] : ((accp(nat,nat_list_decode_rel,zero_zero(nat)) & nil(nat) = X1 & zero_zero(nat) = X0) | ~sP312(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27561])).
% 59.37/10.03  tff(f27561,plain,(
% 59.37/10.03    ! [X1 : list(nat),X0 : nat] : ((accp(nat,nat_list_decode_rel,zero_zero(nat)) & nil(nat) = X1 & zero_zero(nat) = X0) | ~sP312(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP312])])).
% 59.37/10.03  tff(f71087,plain,(
% 59.37/10.03    spl2737_1383),
% 59.37/10.03    inference(avatar_split_clause,[],[f58739,f71085])).
% 59.37/10.03  tff(f71085,plain,(
% 59.37/10.03    spl2737_1383 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(size_num(one2)) = X0 | ~sP291(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1383])])).
% 59.37/10.03  tff(f58739,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(size_num(one2)) = X0 | ~sP291(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f45052,f54029])).
% 59.37/10.03  tff(f45052,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(fFalse,fFalse) = X0 | ~sP291(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31301])).
% 59.37/10.03  tff(f31301,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X0 & zero_zero(nat) = X1) | ~sP291(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31300])).
% 59.37/10.03  tff(f31300,plain,(
% 59.37/10.03    ! [X1 : vEBT_VEBT,X0 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0) | ~sP291(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27528])).
% 59.37/10.03  tff(f71083,plain,(
% 59.37/10.03    spl2737_1381 | spl2737_1382),
% 59.37/10.03    inference(avatar_split_clause,[],[f58738,f71080,f71077])).
% 59.37/10.03  tff(f71077,plain,(
% 59.37/10.03    spl2737_1381 <=> ! [X0 : vEBT_VEBT,X1 : nat] : ~sP291(X0,X1)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1381])])).
% 59.37/10.03  tff(f71080,plain,(
% 59.37/10.03    spl2737_1382 <=> accp(nat,vEBT_v4011308405150292612up_rel,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1382])])).
% 59.37/10.03  tff(f58738,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,size_num(one2)) | ~sP291(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f45053,f35397])).
% 59.37/10.03  tff(f45053,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) | ~sP291(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31301])).
% 59.37/10.03  tff(f71075,plain,(
% 59.37/10.03    spl2737_1380),
% 59.37/10.03    inference(avatar_split_clause,[],[f58214,f71073])).
% 59.37/10.03  tff(f71073,plain,(
% 59.37/10.03    spl2737_1380 <=> ! [X1 : nat] : size_num(one2) = divide_divide(nat,X1,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1380])])).
% 59.37/10.03  tff(f58214,plain,(
% 59.37/10.03    ( ! [X1 : nat] : (size_num(one2) = divide_divide(nat,X1,size_num(one2))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53133,f35397])).
% 59.37/10.03  tff(f53133,plain,(
% 59.37/10.03    ( ! [X1 : nat] : (zero_zero(nat) = divide_divide(nat,X1,zero_zero(nat))) )),
% 59.37/10.03    inference(equality_resolution,[],[f44071])).
% 59.37/10.03  tff(f44071,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = divide_divide(nat,X1,X0) | zero_zero(nat) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23751])).
% 59.37/10.03  tff(f23751,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : nat] : ((divide_divide(nat,X1,X0) = lattic643756798349783984er_Max(nat,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aae(nat,fun(nat,fun(nat,bool)),X0),X1))) | zero_zero(nat) = X0) & (zero_zero(nat) = divide_divide(nat,X1,X0) | zero_zero(nat) != X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f15240])).
% 59.37/10.03  tff(f15240,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : nat] : ((zero_zero(nat) != X0 => divide_divide(nat,X1,X0) = lattic643756798349783984er_Max(nat,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aae(nat,fun(nat,fun(nat,bool)),X0),X1)))) & (zero_zero(nat) = X0 => zero_zero(nat) = divide_divide(nat,X1,X0)))),
% 59.37/10.03    inference(rectify,[],[f6379])).
% 59.37/10.03  tff(f6379,axiom,(
% 59.37/10.03    ! [X8 : nat,X9 : nat] : ((zero_zero(nat) != X8 => divide_divide(nat,X9,X8) = lattic643756798349783984er_Max(nat,collect(nat,aa(nat,fun(nat,bool),aTP_Lamp_aae(nat,fun(nat,fun(nat,bool)),X8),X9)))) & (zero_zero(nat) = X8 => zero_zero(nat) = divide_divide(nat,X9,X8)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6378_divide__nat__def)).
% 59.37/10.03  tff(f71071,plain,(
% 59.37/10.03    spl2737_1379),
% 59.37/10.03    inference(avatar_split_clause,[],[f57506,f71069])).
% 59.37/10.03  tff(f71069,plain,(
% 59.37/10.03    spl2737_1379 <=> ! [X0 : $tType,X1 : fun(X0,nat)] : one_one(nat) = size_option(X0,X1,none(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1379])])).
% 59.37/10.03  tff(f57506,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(X0,nat)] : (one_one(nat) = size_option(X0,X1,none(X0))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f57505,f54053])).
% 59.37/10.03  tff(f57505,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(X0,nat)] : (size_option(X0,X1,none(X0)) = aa(nat,nat,suc,size_num(one2))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f43547,f35397])).
% 59.37/10.03  tff(f43547,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(X0,nat)] : (aa(nat,nat,suc,zero_zero(nat)) = size_option(X0,X1,none(X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14730])).
% 59.37/10.03  tff(f14730,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,nat)] : aa(nat,nat,suc,zero_zero(nat)) = size_option(X0,X1,none(X0))),
% 59.37/10.03    inference(rectify,[],[f3438])).
% 59.37/10.03  tff(f3438,axiom,(
% 59.37/10.03    ! [X0 : $tType,X14 : fun(X0,nat)] : aa(nat,nat,suc,zero_zero(nat)) = size_option(X0,X14,none(X0))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3437_option_Osize__gen_I1_J)).
% 59.37/10.03  tff(f71067,plain,(
% 59.37/10.03    spl2737_1378),
% 59.37/10.03    inference(avatar_split_clause,[],[f57483,f71065])).
% 59.37/10.03  tff(f71065,plain,(
% 59.37/10.03    spl2737_1378 <=> ! [X0 : $tType,X1 : list(X0)] : drop(X0,size_num(one2),X1) = X1),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1378])])).
% 59.37/10.03  tff(f57483,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(X0)] : (drop(X0,size_num(one2),X1) = X1) )),
% 59.37/10.03    inference(forward_demodulation,[],[f43528,f35397])).
% 59.37/10.03  tff(f43528,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(X0)] : (drop(X0,zero_zero(nat),X1) = X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14711])).
% 59.37/10.03  tff(f14711,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0)] : drop(X0,zero_zero(nat),X1) = X1),
% 59.37/10.03    inference(rectify,[],[f5493])).
% 59.37/10.03  tff(f5493,axiom,(
% 59.37/10.03    ! [X0 : $tType,X123 : list(X0)] : drop(X0,zero_zero(nat),X123) = X123),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5492_drop__0)).
% 59.37/10.03  tff(f71063,plain,(
% 59.37/10.03    spl2737_1377),
% 59.37/10.03    inference(avatar_split_clause,[],[f55455,f71061])).
% 59.37/10.03  tff(f71061,plain,(
% 59.37/10.03    spl2737_1377 <=> ! [X0 : $tType,X1 : itself(X0)] : (pp(bit_se6407376104438227557le_bit(X0,X1,size_num(one2))) | ~bit_semiring_bits(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1377])])).
% 59.37/10.03  tff(f55455,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : itself(X0)] : (pp(bit_se6407376104438227557le_bit(X0,X1,size_num(one2))) | ~bit_semiring_bits(X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f39472,f35397])).
% 59.37/10.03  tff(f39472,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : itself(X0)] : (pp(bit_se6407376104438227557le_bit(X0,X1,zero_zero(nat))) | ~bit_semiring_bits(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20434])).
% 59.37/10.03  tff(f20434,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : itself(X0)] : pp(bit_se6407376104438227557le_bit(X0,X1,zero_zero(nat))) | ~bit_semiring_bits(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f12192])).
% 59.37/10.03  tff(f12192,plain,(
% 59.37/10.03    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : itself(X0)] : pp(bit_se6407376104438227557le_bit(X0,X1,zero_zero(nat))))),
% 59.37/10.03    inference(rectify,[],[f6862])).
% 59.37/10.03  tff(f6862,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X313 : itself(X0)] : pp(bit_se6407376104438227557le_bit(X0,X313,zero_zero(nat))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6861_possible__bit__0)).
% 59.37/10.03  tff(f71059,plain,(
% 59.37/10.03    spl2737_1376),
% 59.37/10.03    inference(avatar_split_clause,[],[f54255,f71057])).
% 59.37/10.03  tff(f71057,plain,(
% 59.37/10.03    spl2737_1376 <=> ! [X0 : nat] : size_num(one2) = modulo_modulo(nat,X0,one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1376])])).
% 59.37/10.03  tff(f54255,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (size_num(one2) = modulo_modulo(nat,X0,one_one(nat))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f54254,f54053])).
% 59.37/10.03  tff(f54254,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (size_num(one2) = modulo_modulo(nat,X0,aa(nat,nat,suc,size_num(one2)))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35851,f35397])).
% 59.37/10.03  tff(f35851,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (zero_zero(nat) = modulo_modulo(nat,X0,aa(nat,nat,suc,zero_zero(nat)))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f10020])).
% 59.37/10.03  tff(f10020,plain,(
% 59.37/10.03    ! [X0 : nat] : zero_zero(nat) = modulo_modulo(nat,X0,aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.03    inference(rectify,[],[f1970])).
% 59.37/10.03  tff(f1970,axiom,(
% 59.37/10.03    ! [X9 : nat] : zero_zero(nat) = modulo_modulo(nat,X9,aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1969_mod__by__Suc__0)).
% 59.37/10.03  tff(f71055,plain,(
% 59.37/10.03    spl2737_1375 | ~spl2737_85 | ~spl2737_909),
% 59.37/10.03    inference(avatar_split_clause,[],[f69073,f68693,f64644,f71052])).
% 59.37/10.03  tff(f71052,plain,(
% 59.37/10.03    spl2737_1375 <=> sP72(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1375])])).
% 59.37/10.03  tff(f68693,plain,(
% 59.37/10.03    spl2737_909 <=> ! [X0 : $tType] : (sP72(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_909])])).
% 59.37/10.03  tff(f69073,plain,(
% 59.37/10.03    sP72(real) | (~spl2737_85 | ~spl2737_909)),
% 59.37/10.03    inference(resolution,[],[f68694,f64646])).
% 59.37/10.03  tff(f68694,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP72(X0)) ) | ~spl2737_909),
% 59.37/10.03    inference(avatar_component_clause,[],[f68693])).
% 59.37/10.03  tff(f71050,plain,(
% 59.37/10.03    spl2737_1374),
% 59.37/10.03    inference(avatar_split_clause,[],[f54234,f71048])).
% 59.37/10.03  tff(f71048,plain,(
% 59.37/10.03    spl2737_1374 <=> ! [X0 : filter(real)] : has_ve8173657378732805170vative(real,aTP_Lamp_aei(real,real),im(imaginary_unit),X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1374])])).
% 59.37/10.03  tff(f54234,plain,(
% 59.37/10.03    ( ! [X0 : filter(real)] : (has_ve8173657378732805170vative(real,aTP_Lamp_aei(real,real),im(imaginary_unit),X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35809,f35393])).
% 59.37/10.03  tff(f35809,plain,(
% 59.37/10.03    ( ! [X0 : filter(real)] : (has_ve8173657378732805170vative(real,aTP_Lamp_aei(real,real),one_one(real),X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9979])).
% 59.37/10.03  tff(f9979,plain,(
% 59.37/10.03    ! [X0 : filter(real)] : has_ve8173657378732805170vative(real,aTP_Lamp_aei(real,real),one_one(real),X0)),
% 59.37/10.03    inference(rectify,[],[f7252])).
% 59.37/10.03  tff(f7252,axiom,(
% 59.37/10.03    ! [X332 : filter(real)] : has_ve8173657378732805170vative(real,aTP_Lamp_aei(real,real),one_one(real),X332)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7251_has__vector__derivative__id)).
% 59.37/10.03  tff(f71046,plain,(
% 59.37/10.03    spl2737_1373),
% 59.37/10.03    inference(avatar_split_clause,[],[f54232,f71044])).
% 59.37/10.03  tff(f71044,plain,(
% 59.37/10.03    spl2737_1373 <=> ! [X0 : num] : none(num) = bit_take_bit_num(size_num(one2),X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1373])])).
% 59.37/10.03  tff(f54232,plain,(
% 59.37/10.03    ( ! [X0 : num] : (none(num) = bit_take_bit_num(size_num(one2),X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35805,f35397])).
% 59.37/10.03  tff(f35805,plain,(
% 59.37/10.03    ( ! [X0 : num] : (none(num) = bit_take_bit_num(zero_zero(nat),X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9975])).
% 59.37/10.03  tff(f9975,plain,(
% 59.37/10.03    ! [X0 : num] : none(num) = bit_take_bit_num(zero_zero(nat),X0)),
% 59.37/10.03    inference(rectify,[],[f5020])).
% 59.37/10.03  tff(f5020,axiom,(
% 59.37/10.03    ! [X9 : num] : bit_take_bit_num(zero_zero(nat),X9) = none(num)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5019_take__bit__num__simps_I1_J)).
% 59.37/10.03  tff(f71042,plain,(
% 59.37/10.03    spl2737_1372),
% 59.37/10.03    inference(avatar_split_clause,[],[f54231,f71040])).
% 59.37/10.03  tff(f71040,plain,(
% 59.37/10.03    spl2737_1372 <=> ! [X0 : nat] : nil(nat) = upt(X0,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1372])])).
% 59.37/10.03  tff(f71038,plain,(
% 59.37/10.03    spl2737_1371),
% 59.37/10.03    inference(avatar_split_clause,[],[f54225,f71036])).
% 59.37/10.03  tff(f71036,plain,(
% 59.37/10.03    spl2737_1371 <=> ! [X0 : nat] : size_num(one2) != aa(nat,nat,suc,X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1371])])).
% 59.37/10.03  tff(f54225,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (size_num(one2) != aa(nat,nat,suc,X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35795,f35397])).
% 59.37/10.03  tff(f35795,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (zero_zero(nat) != aa(nat,nat,suc,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9965])).
% 59.37/10.03  tff(f9965,plain,(
% 59.37/10.03    ! [X0 : nat] : zero_zero(nat) != aa(nat,nat,suc,X0)),
% 59.37/10.03    inference(rectify,[],[f24])).
% 59.37/10.03  tff(f24,axiom,(
% 59.37/10.03    ! [X9 : nat] : zero_zero(nat) != aa(nat,nat,suc,X9)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_Suc__neq__Zero)).
% 59.37/10.03  tff(f71034,plain,(
% 59.37/10.03    spl2737_1370),
% 59.37/10.03    inference(avatar_split_clause,[],[f54224,f71032])).
% 59.37/10.03  tff(f71032,plain,(
% 59.37/10.03    spl2737_1370 <=> ! [X0 : num] : size_num(one2) != aa(num,nat,nat_of_num,X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1370])])).
% 59.37/10.03  tff(f54224,plain,(
% 59.37/10.03    ( ! [X0 : num] : (size_num(one2) != aa(num,nat,nat_of_num,X0)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35794,f35397])).
% 59.37/10.03  tff(f35794,plain,(
% 59.37/10.03    ( ! [X0 : num] : (zero_zero(nat) != aa(num,nat,nat_of_num,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9964])).
% 59.37/10.03  tff(f9964,plain,(
% 59.37/10.03    ! [X0 : num] : zero_zero(nat) != aa(num,nat,nat_of_num,X0)),
% 59.37/10.03    inference(rectify,[],[f7783])).
% 59.37/10.03  tff(f7783,axiom,(
% 59.37/10.03    ! [X14 : num] : zero_zero(nat) != aa(num,nat,nat_of_num,X14)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7782_nat__of__num__neq__0)).
% 59.37/10.03  tff(f71030,plain,(
% 59.37/10.03    spl2737_1369),
% 59.37/10.03    inference(avatar_split_clause,[],[f54054,f71027])).
% 59.37/10.03  tff(f71027,plain,(
% 59.37/10.03    spl2737_1369 <=> filterlim(nat,int,code_T6385005292777649522of_nat,at_top(int),at_top(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1369])])).
% 59.37/10.03  tff(f54054,plain,(
% 59.37/10.03    filterlim(nat,int,code_T6385005292777649522of_nat,at_top(int),at_top(nat))),
% 59.37/10.03    inference(forward_demodulation,[],[f35479,f35405])).
% 59.37/10.03  tff(f35479,plain,(
% 59.37/10.03    filterlim(nat,int,semiring_1_of_nat(int),at_top(int),at_top(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f6034])).
% 59.37/10.03  tff(f6034,axiom,(
% 59.37/10.03    filterlim(nat,int,semiring_1_of_nat(int),at_top(int),at_top(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6033_filterlim__int__sequentially)).
% 59.37/10.03  tff(f71025,plain,(
% 59.37/10.03    spl2737_1368),
% 59.37/10.03    inference(avatar_split_clause,[],[f54032,f71022])).
% 59.37/10.03  tff(f71022,plain,(
% 59.37/10.03    spl2737_1368 <=> one_one(complex) = complex2(im(imaginary_unit),zero_zero(real))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1368])])).
% 59.37/10.03  tff(f54032,plain,(
% 59.37/10.03    one_one(complex) = complex2(im(imaginary_unit),zero_zero(real))),
% 59.37/10.03    inference(forward_demodulation,[],[f35435,f35393])).
% 59.37/10.03  tff(f35435,plain,(
% 59.37/10.03    one_one(complex) = complex2(one_one(real),zero_zero(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f3101])).
% 59.37/10.03  tff(f3101,axiom,(
% 59.37/10.03    one_one(complex) = complex2(one_one(real),zero_zero(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3100_one__complex_Ocode)).
% 59.37/10.03  tff(f71020,plain,(
% 59.37/10.03    spl2737_1367),
% 59.37/10.03    inference(avatar_split_clause,[],[f54031,f71017])).
% 59.37/10.03  tff(f71017,plain,(
% 59.37/10.03    spl2737_1367 <=> one2 = aa(nat,num,num_of_nat,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1367])])).
% 59.37/10.03  tff(f71015,plain,(
% 59.37/10.03    spl2737_1366),
% 59.37/10.03    inference(avatar_split_clause,[],[f54013,f71012])).
% 59.37/10.03  tff(f71012,plain,(
% 59.37/10.03    spl2737_1366 <=> one_one(complex) = rcis(im(imaginary_unit),zero_zero(real))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1366])])).
% 59.37/10.03  tff(f54013,plain,(
% 59.37/10.03    one_one(complex) = rcis(im(imaginary_unit),zero_zero(real))),
% 59.37/10.03    inference(forward_demodulation,[],[f50516,f35393])).
% 59.37/10.03  tff(f50516,plain,(
% 59.37/10.03    one_one(complex) = rcis(one_one(real),zero_zero(real))),
% 59.37/10.03    inference(definition_unfolding,[],[f35410,f35787])).
% 59.37/10.03  tff(f35410,plain,(
% 59.37/10.03    one_one(complex) = cis(zero_zero(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f3252])).
% 59.37/10.03  tff(f3252,axiom,(
% 59.37/10.03    one_one(complex) = cis(zero_zero(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3251_cis__zero)).
% 59.37/10.03  tff(f71010,plain,(
% 59.37/10.03    spl2737_1365),
% 59.37/10.03    inference(avatar_split_clause,[],[f53177,f71008])).
% 59.37/10.03  tff(f71008,plain,(
% 59.37/10.03    spl2737_1365 <=> ! [X0 : vEBT_VEBT] : (sP265(one_one(nat),X0) | vEBT_VEBT_valid(X0,one_one(nat)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1365])])).
% 59.37/10.03  tff(f53177,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT] : (sP265(one_one(nat),X0) | vEBT_VEBT_valid(X0,one_one(nat))) )),
% 59.37/10.03    inference(equality_resolution,[],[f44862])).
% 59.37/10.03  tff(f44862,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP265(X1,X0) | one_one(nat) != X1 | vEBT_VEBT_valid(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31168])).
% 59.37/10.03  tff(f71006,plain,(
% 59.37/10.03    spl2737_1364 | ~spl2737_84 | ~spl2737_909),
% 59.37/10.03    inference(avatar_split_clause,[],[f69072,f68693,f64639,f71003])).
% 59.37/10.03  tff(f71003,plain,(
% 59.37/10.03    spl2737_1364 <=> sP72(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1364])])).
% 59.37/10.03  tff(f69072,plain,(
% 59.37/10.03    sP72(rat) | (~spl2737_84 | ~spl2737_909)),
% 59.37/10.03    inference(resolution,[],[f68694,f64641])).
% 59.37/10.03  tff(f71001,plain,(
% 59.37/10.03    spl2737_1363),
% 59.37/10.03    inference(avatar_split_clause,[],[f53132,f70999])).
% 59.37/10.03  tff(f70999,plain,(
% 59.37/10.03    spl2737_1363 <=> ! [X1 : int] : zero_zero(int) = divide_divide(int,X1,zero_zero(int))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1363])])).
% 59.37/10.03  tff(f53132,plain,(
% 59.37/10.03    ( ! [X1 : int] : (zero_zero(int) = divide_divide(int,X1,zero_zero(int))) )),
% 59.37/10.03    inference(equality_resolution,[],[f44068])).
% 59.37/10.03  tff(f44068,plain,(
% 59.37/10.03    ( ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X1,X0) | zero_zero(int) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23750])).
% 59.37/10.03  tff(f23750,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : ((((divide_divide(int,X1,X0) = 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,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)))),aa(bool,nat,zero_neq_one_of_bool(nat),aa(bool,bool,fNot,aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1)))))) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) & (divide_divide(int,X1,X0) = aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)))) | aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1))) | zero_zero(int) = X0) & (zero_zero(int) = divide_divide(int,X1,X0) | zero_zero(int) != X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f15239])).
% 59.37/10.03  tff(f15239,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : ((zero_zero(int) != X0 => ((aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1) => divide_divide(int,X1,X0) = 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,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)))),aa(bool,nat,zero_neq_one_of_bool(nat),aa(bool,bool,fNot,aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1))))))) & (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => divide_divide(int,X1,X0) = aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0))))))) & (zero_zero(int) = X0 => zero_zero(int) = divide_divide(int,X1,X0)))),
% 59.37/10.03    inference(rectify,[],[f3240])).
% 59.37/10.03  tff(f3240,axiom,(
% 59.37/10.03    ! [X51 : int,X18 : int] : ((zero_zero(int) != X51 => ((aa(int,int,sgn_sgn(int),X51) != aa(int,int,sgn_sgn(int),X18) => divide_divide(int,X18,X51) = 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,aa(int,nat,nat2,aa(int,int,abs_abs(int),X18)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X51)))),aa(bool,nat,zero_neq_one_of_bool(nat),aa(bool,bool,fNot,aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X51),X18))))))) & (aa(int,int,sgn_sgn(int),X51) = aa(int,int,sgn_sgn(int),X18) => divide_divide(int,X18,X51) = aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X18)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X51))))))) & (zero_zero(int) = X51 => zero_zero(int) = divide_divide(int,X18,X51)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3239_divide__int__def)).
% 59.37/10.03  tff(f70997,plain,(
% 59.37/10.03    spl2737_1362),
% 59.37/10.03    inference(avatar_split_clause,[],[f52587,f70995])).
% 59.37/10.03  tff(f70995,plain,(
% 59.37/10.03    spl2737_1362 <=> ! [X2 : $tType,X4 : real,X3 : X2] : sP25(X2,zero_zero(X2),zero_zero(real),X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1362])])).
% 59.37/10.03  tff(f52587,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X3 : X2,X4 : real] : (sP25(X2,zero_zero(X2),zero_zero(real),X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f52586])).
% 59.37/10.03  tff(f52586,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X3 : X2,X0 : X2,X4 : real] : (sP25(X2,X0,zero_zero(real),X3,X4) | zero_zero(X2) != X0) )),
% 59.37/10.03    inference(equality_resolution,[],[f37221])).
% 59.37/10.03  tff(f37221,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : real,X4 : real] : (sP25(X2,X0,X1,X3,X4) | zero_zero(real) != X1 | zero_zero(X2) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28327])).
% 59.37/10.03  tff(f70993,plain,(
% 59.37/10.03    spl2737_1361),
% 59.37/10.03    inference(avatar_split_clause,[],[f52581,f70991])).
% 59.37/10.03  tff(f70991,plain,(
% 59.37/10.03    spl2737_1361 <=> ! [X2 : $tType,X4 : real,X3 : X2] : sP23(X2,zero_zero(X2),zero_zero(real),X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1361])])).
% 59.37/10.03  tff(f52581,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X3 : X2,X4 : real] : (sP23(X2,zero_zero(X2),zero_zero(real),X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f52580])).
% 59.37/10.03  tff(f52580,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X3 : X2,X0 : X2,X4 : real] : (sP23(X2,X0,zero_zero(real),X3,X4) | zero_zero(X2) != X0) )),
% 59.37/10.03    inference(equality_resolution,[],[f37212])).
% 59.37/10.03  tff(f37212,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : real,X4 : real] : (sP23(X2,X0,X1,X3,X4) | zero_zero(real) != X1 | zero_zero(X2) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28323])).
% 59.37/10.03  tff(f70989,plain,(
% 59.37/10.03    spl2737_1360),
% 59.37/10.03    inference(avatar_split_clause,[],[f49200,f70987])).
% 59.37/10.03  tff(f70987,plain,(
% 59.37/10.03    spl2737_1360 <=> ! [X0 : $tType,X3 : fun(X0,X0),X2 : X0,X1 : fun(X0,fun(X0,X0))] : (semigroup(X0,X1) | ~group(X0,X1,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1360])])).
% 59.37/10.03  tff(f49200,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,X0),X1 : fun(X0,fun(X0,X0))] : (semigroup(X0,X1) | ~group(X0,X1,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f26402])).
% 59.37/10.03  tff(f26402,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (semigroup(X0,X1) | ~group(X0,X1,X2,X3))),
% 59.37/10.03    inference(ennf_transformation,[],[f17761])).
% 59.37/10.03  tff(f17761,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0,X3 : fun(X0,X0)] : (group(X0,X1,X2,X3) => semigroup(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f8051])).
% 59.37/10.03  tff(f8051,axiom,(
% 59.37/10.03    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0,X346 : fun(X0,X0)] : (group(X0,X32,X60,X346) => semigroup(X0,X32))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8050_group_Oaxioms_I1_J)).
% 59.37/10.03  tff(f70985,plain,(
% 59.37/10.03    spl2737_1359),
% 59.37/10.03    inference(avatar_split_clause,[],[f48979,f70983])).
% 59.37/10.03  tff(f70983,plain,(
% 59.37/10.03    spl2737_1359 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP490(X0,X2,X1) | ~sP491(X0,X2,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1359])])).
% 59.37/10.03  tff(f48979,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP490(X0,X2,X1) | ~sP491(X0,X2,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33695])).
% 59.37/10.03  tff(f33695,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((sP490(X0,X2,X1) | ~sP491(X0,X2,X1)) & (sP491(X0,X2,X1) | ~sP490(X0,X2,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27822])).
% 59.37/10.03  tff(f27822,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (sP490(X0,X2,X1) <=> sP491(X0,X2,X1))),
% 59.37/10.03    inference(definition_folding,[],[f26325,f27821,f27820])).
% 59.37/10.03  tff(f26325,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (~pp(aa(X0,bool,X2,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X6)))) & pp(aa(X0,bool,X2,X5)) & append(X0,X4,cons(X0,X5,X6)) = X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f17595])).
% 59.37/10.03  tff(f17595,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) <=> ? [X4 : list(X0),X5 : X0,X6 : list(X0)] : (! [X7 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X7),aa(list(X0),set(X0),set2(X0),X6))) => ~pp(aa(X0,bool,X2,X7))) & pp(aa(X0,bool,X2,X5)) & append(X0,X4,cons(X0,X5,X6)) = X1))),
% 59.37/10.03    inference(rectify,[],[f5450])).
% 59.37/10.03  tff(f5450,axiom,(
% 59.37/10.03    ! [X0 : $tType,X123 : list(X0),X17 : fun(X0,bool)] : (? [X115 : X0] : (pp(aa(X0,bool,X17,X115)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123)))) <=> ? [X241 : list(X0),X115 : X0,X242 : list(X0)] : (! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),aa(list(X0),set(X0),set2(X0),X242))) => ~pp(aa(X0,bool,X17,X138))) & pp(aa(X0,bool,X17,X115)) & append(X0,X241,cons(X0,X115,X242)) = X123))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5449_split__list__last__prop__iff)).
% 59.37/10.03  tff(f70981,plain,(
% 59.37/10.03    spl2737_1358),
% 59.37/10.03    inference(avatar_split_clause,[],[f48978,f70979])).
% 59.37/10.03  tff(f70979,plain,(
% 59.37/10.03    spl2737_1358 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP491(X0,X2,X1) | ~sP490(X0,X2,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1358])])).
% 59.37/10.03  tff(f48978,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP491(X0,X2,X1) | ~sP490(X0,X2,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33695])).
% 59.37/10.03  tff(f70977,plain,(
% 59.37/10.03    spl2737_1357),
% 59.37/10.03    inference(avatar_split_clause,[],[f48969,f70975])).
% 59.37/10.03  tff(f70975,plain,(
% 59.37/10.03    spl2737_1357 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP488(X0,X2,X1) | ~sP489(X0,X2,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1357])])).
% 59.37/10.03  tff(f48969,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP488(X0,X2,X1) | ~sP489(X0,X2,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33685])).
% 59.37/10.03  tff(f33685,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((sP488(X0,X2,X1) | ~sP489(X0,X2,X1)) & (sP489(X0,X2,X1) | ~sP488(X0,X2,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27819])).
% 59.37/10.03  tff(f27819,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (sP488(X0,X2,X1) <=> sP489(X0,X2,X1))),
% 59.37/10.03    inference(definition_folding,[],[f26324,f27818,f27817])).
% 59.37/10.03  tff(f26324,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (~pp(aa(X0,bool,X2,X6)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X4)))) & pp(aa(X0,bool,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,cons(X0,X5,X7)) = X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f17594])).
% 59.37/10.03  tff(f17594,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (? [X3 : X0] : (pp(aa(X0,bool,X2,X3)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) <=> ? [X4 : list(X0),X5 : X0] : (! [X6 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X4))) => ~pp(aa(X0,bool,X2,X6))) & pp(aa(X0,bool,X2,X5)) & ? [X7 : list(X0)] : append(X0,X4,cons(X0,X5,X7)) = X1))),
% 59.37/10.03    inference(rectify,[],[f5451])).
% 59.37/10.03  tff(f5451,axiom,(
% 59.37/10.03    ! [X0 : $tType,X123 : list(X0),X17 : fun(X0,bool)] : (? [X115 : X0] : (pp(aa(X0,bool,X17,X115)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123)))) <=> ? [X241 : list(X0),X115 : X0] : (! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),aa(list(X0),set(X0),set2(X0),X241))) => ~pp(aa(X0,bool,X17,X138))) & pp(aa(X0,bool,X17,X115)) & ? [X242 : list(X0)] : append(X0,X241,cons(X0,X115,X242)) = X123))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5450_split__list__first__prop__iff)).
% 59.37/10.03  tff(f70973,plain,(
% 59.37/10.03    spl2737_1356),
% 59.37/10.03    inference(avatar_split_clause,[],[f48968,f70971])).
% 59.37/10.03  tff(f70971,plain,(
% 59.37/10.03    spl2737_1356 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP489(X0,X2,X1) | ~sP488(X0,X2,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1356])])).
% 59.37/10.03  tff(f48968,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP489(X0,X2,X1) | ~sP488(X0,X2,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33685])).
% 59.37/10.03  tff(f70969,plain,(
% 59.37/10.03    spl2737_1355),
% 59.37/10.03    inference(avatar_split_clause,[],[f48522,f70967])).
% 59.37/10.03  tff(f70967,plain,(
% 59.37/10.03    spl2737_1355 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP472(X2,X1,X0) | ~sP473(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1355])])).
% 59.37/10.03  tff(f48522,plain,(
% 59.37/10.03    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP472(X2,X1,X0) | ~sP473(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33344])).
% 59.37/10.03  tff(f70965,plain,(
% 59.37/10.03    spl2737_1354),
% 59.37/10.03    inference(avatar_split_clause,[],[f48521,f70963])).
% 59.37/10.03  tff(f70963,plain,(
% 59.37/10.03    spl2737_1354 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP471(X2,X1,X0) | ~sP473(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1354])])).
% 59.37/10.03  tff(f48521,plain,(
% 59.37/10.03    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP471(X2,X1,X0) | ~sP473(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33344])).
% 59.37/10.03  tff(f70961,plain,(
% 59.37/10.03    spl2737_1353),
% 59.37/10.03    inference(avatar_split_clause,[],[f48503,f70959])).
% 59.37/10.03  tff(f70959,plain,(
% 59.37/10.03    spl2737_1353 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP469(X2,X1,X0) | ~sP470(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1353])])).
% 59.37/10.03  tff(f48503,plain,(
% 59.37/10.03    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP469(X2,X1,X0) | ~sP470(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33330])).
% 59.37/10.03  tff(f70957,plain,(
% 59.37/10.03    spl2737_1352),
% 59.37/10.03    inference(avatar_split_clause,[],[f48502,f70955])).
% 59.37/10.03  tff(f70955,plain,(
% 59.37/10.03    spl2737_1352 <=> ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP468(X2,X1,X0) | ~sP470(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1352])])).
% 59.37/10.03  tff(f48502,plain,(
% 59.37/10.03    ( ! [X2 : fun(int,bool),X0 : int,X1 : int] : (sP468(X2,X1,X0) | ~sP470(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33330])).
% 59.37/10.03  tff(f70953,plain,(
% 59.37/10.03    spl2737_1351),
% 59.37/10.03    inference(avatar_split_clause,[],[f48431,f70951])).
% 59.37/10.03  tff(f70951,plain,(
% 59.37/10.03    spl2737_1351 <=> ! [X2 : nat,X0 : bool,X1 : bool] : (sP465(X2,X1) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1351])])).
% 59.37/10.03  tff(f48431,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : bool,X1 : bool] : (sP465(X2,X1) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33267])).
% 59.37/10.03  tff(f70949,plain,(
% 59.37/10.03    spl2737_1350),
% 59.37/10.03    inference(avatar_split_clause,[],[f48417,f70947])).
% 59.37/10.03  tff(f70947,plain,(
% 59.37/10.03    spl2737_1350 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (eucl_rel_int(X0,X1,X2) | ~sP464(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1350])])).
% 59.37/10.03  tff(f48417,plain,(
% 59.37/10.03    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (eucl_rel_int(X0,X1,X2) | ~sP464(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33256])).
% 59.37/10.03  tff(f33256,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((eucl_rel_int(X0,X1,X2) | ~sP464(X0,X1,X2)) & (sP464(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27775])).
% 59.37/10.03  tff(f27775,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) <=> sP464(X0,X1,X2))),
% 59.37/10.03    inference(definition_folding,[],[f17435,f27774,f27773,f27772])).
% 59.37/10.03  tff(f17435,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) <=> (? [X3 : int,X4 : int,X5 : int,X6 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X6),X4)),X3) = X5 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X3)),aa(int,int,abs_abs(int),X4))) & aa(int,int,sgn_sgn(int),X4) = aa(int,int,sgn_sgn(int),X3) & aa(int,product_prod(int,int),product_Pair(int,int,X6),X3) = X2 & X1 = X4 & X0 = X5) | ? [X7 : int,X8 : int,X9 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X9),X7) = X8 & zero_zero(int) != X7 & aa(int,product_prod(int,int),product_Pair(int,int,X9),zero_zero(int)) = X2 & X1 = X7 & X0 = X8) | ? [X10 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)))),
% 59.37/10.03    inference(rectify,[],[f3343])).
% 59.37/10.03  tff(f3343,axiom,(
% 59.37/10.03    ! [X179 : int,X180 : int,X203 : product_prod(int,int)] : (eucl_rel_int(X179,X180,X203) <=> (? [X205 : int,X204 : int,X56 : int,X142 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X142),X204)),X205) = X56 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X205)),aa(int,int,abs_abs(int),X204))) & aa(int,int,sgn_sgn(int),X205) = aa(int,int,sgn_sgn(int),X204) & aa(int,product_prod(int,int),product_Pair(int,int,X142),X205) = X203 & X180 = X204 & X56 = X179) | ? [X204 : int,X56 : int,X142 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X142),X204) = X56 & zero_zero(int) != X204 & aa(int,product_prod(int,int),product_Pair(int,int,X142),zero_zero(int)) = X203 & X180 = X204 & X56 = X179) | ? [X56 : int] : (aa(int,product_prod(int,int),product_Pair(int,int,zero_zero(int)),X56) = X203 & zero_zero(int) = X180 & X56 = X179)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3342_eucl__rel__int_Osimps)).
% 59.37/10.03  tff(f70945,plain,(
% 59.37/10.03    spl2737_1349),
% 59.37/10.03    inference(avatar_split_clause,[],[f48416,f70943])).
% 59.37/10.03  tff(f70943,plain,(
% 59.37/10.03    spl2737_1349 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP464(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1349])])).
% 59.37/10.03  tff(f48416,plain,(
% 59.37/10.03    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP464(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33256])).
% 59.37/10.03  tff(f70941,plain,(
% 59.37/10.03    spl2737_1348),
% 59.37/10.03    inference(avatar_split_clause,[],[f48402,f70939])).
% 59.37/10.03  tff(f70939,plain,(
% 59.37/10.03    spl2737_1348 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP464(X0,X1,X2) | ~sP463(X2,X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1348])])).
% 59.37/10.03  tff(f48402,plain,(
% 59.37/10.03    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP464(X0,X1,X2) | ~sP463(X2,X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33247])).
% 59.37/10.03  tff(f70937,plain,(
% 59.37/10.03    spl2737_1347),
% 59.37/10.03    inference(avatar_split_clause,[],[f48401,f70935])).
% 59.37/10.03  tff(f70935,plain,(
% 59.37/10.03    spl2737_1347 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP464(X0,X1,X2) | ~sP462(X2,X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1347])])).
% 59.37/10.03  tff(f48401,plain,(
% 59.37/10.03    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP464(X0,X1,X2) | ~sP462(X2,X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33247])).
% 59.37/10.03  tff(f70933,plain,(
% 59.37/10.03    spl2737_1346),
% 59.37/10.03    inference(avatar_split_clause,[],[f47465,f70931])).
% 59.37/10.03  tff(f70931,plain,(
% 59.37/10.03    spl2737_1346 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP383(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1346])])).
% 59.37/10.03  tff(f47465,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP383(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32609])).
% 59.37/10.03  tff(f32609,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : ((vEBT_Node(sK2053(X0,X1,X2),sK2054(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2054(X0,X1,X2))),sK2055(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2056(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2053(X0,X1,X2),sK2054(X0,X1,X2),sK2055(X0,X1,X2),sK2056(X0,X1,X2)) = X2) | ~sP383(X0,X1,X2))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2053,sK2054,sK2055,sK2056])],[f32607,f32608])).
% 59.37/10.03  tff(f32608,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (vEBT_Node(X3,X4,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5),vEBT_VEBT_elim_dead(X6,extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X3,X4,X5,X6) = X2) => (vEBT_Node(sK2053(X0,X1,X2),sK2054(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2054(X0,X1,X2))),sK2055(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2056(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2053(X0,X1,X2),sK2054(X0,X1,X2),sK2055(X0,X1,X2),sK2056(X0,X1,X2)) = X2))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f32607,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (vEBT_Node(X3,X4,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5),vEBT_VEBT_elim_dead(X6,extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X3,X4,X5,X6) = X2) | ~sP383(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f32606])).
% 59.37/10.03  tff(f32606,plain,(
% 59.37/10.03    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : (vEBT_Node(X5,X6,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X6)),X7),vEBT_VEBT_elim_dead(X8,extend4730790105801354508finity(extended_enat))) = X2 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X5,X6,X7,X8) = X0) | ~sP383(X2,X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27668])).
% 59.37/10.03  tff(f27668,plain,(
% 59.37/10.03    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : (vEBT_Node(X5,X6,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X6)),X7),vEBT_VEBT_elim_dead(X8,extend4730790105801354508finity(extended_enat))) = X2 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X5,X6,X7,X8) = X0) | ~sP383(X2,X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP383])])).
% 59.37/10.03  tff(f70929,plain,(
% 59.37/10.03    spl2737_1345),
% 59.37/10.03    inference(avatar_split_clause,[],[f47455,f70927])).
% 59.37/10.03  tff(f70927,plain,(
% 59.37/10.03    spl2737_1345 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP381(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1345])])).
% 59.37/10.03  tff(f47455,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP381(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32598])).
% 59.37/10.03  tff(f32598,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(sK2042(X0,X1,X2),sK2043(X0,X1,X2),sK2044(X0,X1,X2),sK2045(X0,X1,X2))),extend4730790105801354508finity(extended_enat))) & vEBT_Node(sK2042(X0,X1,X2),sK2043(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2043(X0,X1,X2))),sK2044(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2045(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2042(X0,X1,X2),sK2043(X0,X1,X2),sK2044(X0,X1,X2),sK2045(X0,X1,X2)) = X2) | ~sP381(X0,X1,X2))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2042,sK2043,sK2044,sK2045])],[f32596,f32597])).
% 59.37/10.03  tff(f32597,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X3,X4,X5,X6)),extend4730790105801354508finity(extended_enat))) & vEBT_Node(X3,X4,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5),vEBT_VEBT_elim_dead(X6,extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X3,X4,X5,X6) = X2) => (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(sK2042(X0,X1,X2),sK2043(X0,X1,X2),sK2044(X0,X1,X2),sK2045(X0,X1,X2))),extend4730790105801354508finity(extended_enat))) & vEBT_Node(sK2042(X0,X1,X2),sK2043(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2043(X0,X1,X2))),sK2044(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2045(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2042(X0,X1,X2),sK2043(X0,X1,X2),sK2044(X0,X1,X2),sK2045(X0,X1,X2)) = X2))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f32596,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X3,X4,X5,X6)),extend4730790105801354508finity(extended_enat))) & vEBT_Node(X3,X4,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X4)),X5),vEBT_VEBT_elim_dead(X6,extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X3,X4,X5,X6) = X2) | ~sP381(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f32595])).
% 59.37/10.03  tff(f32595,plain,(
% 59.37/10.03    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X5,X6,X7,X8)),extend4730790105801354508finity(extended_enat))) & vEBT_Node(X5,X6,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X6)),X7),vEBT_VEBT_elim_dead(X8,extend4730790105801354508finity(extended_enat))) = X2 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X5,X6,X7,X8) = X0) | ~sP381(X2,X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27665])).
% 59.37/10.03  tff(f27665,plain,(
% 59.37/10.03    ! [X2 : vEBT_VEBT,X1 : extended_enat,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : nat,X7 : list(vEBT_VEBT),X8 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,extended_enat),vEBT_V312737461966249ad_rel,aa(extended_enat,product_prod(vEBT_VEBT,extended_enat),product_Pair(vEBT_VEBT,extended_enat,vEBT_Node(X5,X6,X7,X8)),extend4730790105801354508finity(extended_enat))) & vEBT_Node(X5,X6,aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_adw(nat,fun(vEBT_VEBT,vEBT_VEBT),X6)),X7),vEBT_VEBT_elim_dead(X8,extend4730790105801354508finity(extended_enat))) = X2 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(X5,X6,X7,X8) = X0) | ~sP381(X2,X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP381])])).
% 59.37/10.03  tff(f70925,plain,(
% 59.37/10.03    spl2737_1344),
% 59.37/10.03    inference(avatar_split_clause,[],[f47434,f70923])).
% 59.37/10.03  tff(f70923,plain,(
% 59.37/10.03    spl2737_1344 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (monoid_axioms(X0,X1,X2) | ~monoid(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1344])])).
% 59.37/10.03  tff(f47434,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (monoid_axioms(X0,X1,X2) | ~monoid(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f25627])).
% 59.37/10.03  tff(f25627,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (monoid_axioms(X0,X1,X2) | ~monoid(X0,X1,X2))),
% 59.37/10.03    inference(ennf_transformation,[],[f17014])).
% 59.37/10.03  tff(f17014,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (monoid(X0,X1,X2) => monoid_axioms(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f8068])).
% 59.37/10.03  tff(f8068,axiom,(
% 59.37/10.03    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0] : (monoid(X0,X32,X60) => monoid_axioms(X0,X32,X60))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8067_monoid_Oaxioms_I2_J)).
% 59.37/10.03  tff(f70921,plain,(
% 59.37/10.03    spl2737_1343 | ~spl2737_85 | ~spl2737_908),
% 59.37/10.03    inference(avatar_split_clause,[],[f69066,f68689,f64644,f70918])).
% 59.37/10.03  tff(f70918,plain,(
% 59.37/10.03    spl2737_1343 <=> sP69(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1343])])).
% 59.37/10.03  tff(f68689,plain,(
% 59.37/10.03    spl2737_908 <=> ! [X0 : $tType] : (sP69(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_908])])).
% 59.37/10.03  tff(f69066,plain,(
% 59.37/10.03    sP69(real) | (~spl2737_85 | ~spl2737_908)),
% 59.37/10.03    inference(resolution,[],[f68690,f64646])).
% 59.37/10.03  tff(f68690,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP69(X0)) ) | ~spl2737_908),
% 59.37/10.03    inference(avatar_component_clause,[],[f68689])).
% 59.37/10.03  tff(f70916,plain,(
% 59.37/10.03    spl2737_1342),
% 59.37/10.03    inference(avatar_split_clause,[],[f47432,f70914])).
% 59.37/10.03  tff(f70914,plain,(
% 59.37/10.03    spl2737_1342 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (comm_monoid(X0,X1,X2) | ~semilattice_neutr(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1342])])).
% 59.37/10.03  tff(f47432,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (comm_monoid(X0,X1,X2) | ~semilattice_neutr(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f25625])).
% 59.37/10.03  tff(f25625,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (comm_monoid(X0,X1,X2) | ~semilattice_neutr(X0,X1,X2))),
% 59.37/10.03    inference(ennf_transformation,[],[f17012])).
% 59.37/10.03  tff(f17012,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (semilattice_neutr(X0,X1,X2) => comm_monoid(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f7761])).
% 59.37/10.03  tff(f7761,axiom,(
% 59.37/10.03    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0] : (semilattice_neutr(X0,X32,X60) => comm_monoid(X0,X32,X60))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7760_semilattice__neutr_Oaxioms_I2_J)).
% 59.37/10.03  tff(f70912,plain,(
% 59.37/10.03    spl2737_1341),
% 59.37/10.03    inference(avatar_split_clause,[],[f46337,f70910])).
% 59.37/10.03  tff(f70910,plain,(
% 59.37/10.03    spl2737_1341 <=> ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ~sP350(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1341])])).
% 59.37/10.03  tff(f46337,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ~sP350(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32013])).
% 59.37/10.03  tff(f32013,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(list(X0))] : ((distinct(X0,concat(X0,X1)) | ~sP350(X0,X1)) & (sP350(X0,X1) | ~distinct(X0,concat(X0,X1))))),
% 59.37/10.03    inference(nnf_transformation,[],[f27613])).
% 59.37/10.03  tff(f27613,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) <=> sP350(X0,X1))),
% 59.37/10.03    inference(definition_folding,[],[f25520,f27612,f27611])).
% 59.37/10.03  tff(f25520,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) <=> (! [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) | X2 = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))))),
% 59.37/10.03    inference(flattening,[],[f25519])).
% 59.37/10.03  tff(f25519,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) <=> (! [X2 : list(X0),X3 : list(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3)) | (X2 = X3 | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))))) & ! [X4 : list(X0)] : (distinct(X0,X4) | ~pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))))),
% 59.37/10.03    inference(ennf_transformation,[],[f16458])).
% 59.37/10.03  tff(f16458,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) <=> (! [X2 : list(X0),X3 : list(X0)] : ((X2 != X3 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X3),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X2),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1)))) => bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X2)),aa(list(X0),set(X0),set2(X0),X3))) & ! [X4 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X4),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X1))) => distinct(X0,X4)) & distinct(list(X0),removeAll(list(X0),nil(X0),X1))))),
% 59.37/10.03    inference(rectify,[],[f4954])).
% 59.37/10.03  tff(f4954,axiom,(
% 59.37/10.03    ! [X0 : $tType,X123 : list(list(X0))] : (distinct(X0,concat(X0,X123)) <=> (! [X241 : list(X0),X242 : list(X0)] : ((X241 != X242 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X242),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X123))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X241),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X123)))) => bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(list(X0),set(X0),set2(X0),X241)),aa(list(X0),set(X0),set2(X0),X242))) & ! [X241 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X241),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X123))) => distinct(X0,X241)) & distinct(list(X0),removeAll(list(X0),nil(X0),X123))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4953_distinct__concat__iff)).
% 59.37/10.03  tff(f70908,plain,(
% 59.37/10.03    spl2737_1340),
% 59.37/10.03    inference(avatar_split_clause,[],[f46336,f70906])).
% 59.37/10.03  tff(f70906,plain,(
% 59.37/10.03    spl2737_1340 <=> ! [X0 : $tType,X1 : list(list(X0))] : (sP350(X0,X1) | ~distinct(X0,concat(X0,X1)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1340])])).
% 59.37/10.03  tff(f46336,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(list(X0))] : (sP350(X0,X1) | ~distinct(X0,concat(X0,X1))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32013])).
% 59.37/10.03  tff(f70904,plain,(
% 59.37/10.03    spl2737_1339),
% 59.37/10.03    inference(avatar_split_clause,[],[f46199,f70902])).
% 59.37/10.03  tff(f70902,plain,(
% 59.37/10.03    spl2737_1339 <=> ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK1893(X0,X1)) | distinct(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1339])])).
% 59.37/10.03  tff(f46199,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK1893(X0,X1)) | distinct(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31901])).
% 59.37/10.03  tff(f31901,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X3,X4)) != X1 | ~distinct(X0,X2) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & ((append(X0,sK1893(X0,X1),cons(X0,sK1894(X0,X1),sK1895(X0,X1))) = X1 & distinct(X0,sK1893(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK1894(X0,X1)),aa(list(X0),set(X0),set2(X0),sK1893(X0,X1))))) | distinct(X0,X1)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1893,sK1894,sK1895])],[f31899,f31900])).
% 59.37/10.03  tff(f31900,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0)] : (? [X5 : list(X0),X6 : X0,X7 : list(X0)] : (append(X0,X5,cons(X0,X6,X7)) = X1 & distinct(X0,X5) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X5)))) => (append(X0,sK1893(X0,X1),cons(X0,sK1894(X0,X1),sK1895(X0,X1))) = X1 & distinct(X0,sK1893(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK1894(X0,X1)),aa(list(X0),set(X0),set2(X0),sK1893(X0,X1))))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31899,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X3,X4)) != X1 | ~distinct(X0,X2) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (? [X5 : list(X0),X6 : X0,X7 : list(X0)] : (append(X0,X5,cons(X0,X6,X7)) = X1 & distinct(X0,X5) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X6),aa(list(X0),set(X0),set2(X0),X5)))) | distinct(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f31898])).
% 59.37/10.03  tff(f31898,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X3,X4)) != X1 | ~distinct(X0,X2) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2))))) & (? [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X3,X4)) = X1 & distinct(X0,X2) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))) | distinct(X0,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f16444])).
% 59.37/10.03  tff(f16444,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,X1) <=> ? [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X3,X4)) = X1 & distinct(X0,X2) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X2)))))),
% 59.37/10.03    inference(rectify,[],[f5456])).
% 59.37/10.03  tff(f5456,axiom,(
% 59.37/10.03    ! [X0 : $tType,X256 : list(X0)] : (~distinct(X0,X256) <=> ? [X168 : list(X0),X145 : X0,X241 : list(X0)] : (append(X0,X168,cons(X0,X145,X241)) = X256 & distinct(X0,X168) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X145),aa(list(X0),set(X0),set2(X0),X168)))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5455_not__distinct__conv__prefix)).
% 59.37/10.03  tff(f70900,plain,(
% 59.37/10.03    spl2737_1338),
% 59.37/10.03    inference(avatar_split_clause,[],[f46017,f70898])).
% 59.37/10.03  tff(f70898,plain,(
% 59.37/10.03    spl2737_1338 <=> ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1338])])).
% 59.37/10.03  tff(f46017,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f25373])).
% 59.37/10.03  tff(f25373,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0))),
% 59.37/10.03    inference(flattening,[],[f25372])).
% 59.37/10.03  tff(f25372,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | (~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0)))),
% 59.37/10.03    inference(ennf_transformation,[],[f16362])).
% 59.37/10.03  tff(f16362,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : ((topolo4958980785337419405_space(X1) & topolo4958980785337419405_space(X0)) => topolo4958980785337419405_space(product_prod(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9673])).
% 59.37/10.03  tff(f9673,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : ((topolo4958980785337419405_space(X359) & topolo4958980785337419405_space(X271)) => topolo4958980785337419405_space(product_prod(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Topological__Spaces_Otopological__space_520)).
% 59.37/10.03  tff(f70896,plain,(
% 59.37/10.03    spl2737_1337),
% 59.37/10.03    inference(avatar_split_clause,[],[f45995,f70894])).
% 59.37/10.03  tff(f70894,plain,(
% 59.37/10.03    spl2737_1337 <=> ! [X1 : $tType,X0 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1337])])).
% 59.37/10.03  tff(f45995,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f25339])).
% 59.37/10.03  tff(f25339,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0))),
% 59.37/10.03    inference(flattening,[],[f25338])).
% 59.37/10.03  tff(f25338,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (topological_t2_space(product_prod(X0,X1)) | (~topological_t2_space(X1) | ~topological_t2_space(X0)))),
% 59.37/10.03    inference(ennf_transformation,[],[f16345])).
% 59.37/10.03  tff(f16345,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : ((topological_t2_space(X1) & topological_t2_space(X0)) => topological_t2_space(product_prod(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9674])).
% 59.37/10.03  tff(f9674,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : ((topological_t2_space(X359) & topological_t2_space(X271)) => topological_t2_space(product_prod(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Topological__Spaces_Ot2__space_521)).
% 59.37/10.03  tff(f70892,plain,(
% 59.37/10.03    spl2737_1336),
% 59.37/10.03    inference(avatar_split_clause,[],[f45234,f70890])).
% 59.37/10.03  tff(f70890,plain,(
% 59.37/10.03    spl2737_1336 <=> ! [X0 : list(nat),X1 : nat] : (nil(nat) = X0 | ~sP312(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1336])])).
% 59.37/10.03  tff(f45234,plain,(
% 59.37/10.03    ( ! [X0 : list(nat),X1 : nat] : (nil(nat) = X0 | ~sP312(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31447])).
% 59.37/10.03  tff(f70888,plain,(
% 59.37/10.03    spl2737_1335),
% 59.37/10.03    inference(avatar_split_clause,[],[f45199,f70886])).
% 59.37/10.03  tff(f70886,plain,(
% 59.37/10.03    spl2737_1335 <=> ! [X0 : nat,X1 : list(nat)] : (nil(nat) = X1 | ~sP311(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1335])])).
% 59.37/10.03  tff(f45199,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : list(nat)] : (nil(nat) = X1 | ~sP311(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31419])).
% 59.37/10.03  tff(f70884,plain,(
% 59.37/10.03    spl2737_1334),
% 59.37/10.03    inference(avatar_split_clause,[],[f45176,f70882])).
% 59.37/10.03  tff(f70882,plain,(
% 59.37/10.03    spl2737_1334 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP306(X0,sK1670(X0,X1)) | ~sP308(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1334])])).
% 59.37/10.03  tff(f45176,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP306(X0,sK1670(X0,X1)) | ~sP308(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31398])).
% 59.37/10.03  tff(f70880,plain,(
% 59.37/10.03    spl2737_1333),
% 59.37/10.03    inference(avatar_split_clause,[],[f45140,f70878])).
% 59.37/10.03  tff(f70878,plain,(
% 59.37/10.03    spl2737_1333 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1645(X0,X1) != X0 | ~sP303(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1333])])).
% 59.37/10.03  tff(f45140,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1645(X0,X1) != X0 | ~sP303(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31360])).
% 59.37/10.03  tff(f70876,plain,(
% 59.37/10.03    spl2737_1332 | ~spl2737_84 | ~spl2737_908),
% 59.37/10.03    inference(avatar_split_clause,[],[f69065,f68689,f64639,f70873])).
% 59.37/10.03  tff(f70873,plain,(
% 59.37/10.03    spl2737_1332 <=> sP69(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1332])])).
% 59.37/10.03  tff(f69065,plain,(
% 59.37/10.03    sP69(rat) | (~spl2737_84 | ~spl2737_908)),
% 59.37/10.03    inference(resolution,[],[f68690,f64641])).
% 59.37/10.03  tff(f70871,plain,(
% 59.37/10.03    spl2737_1331),
% 59.37/10.03    inference(avatar_split_clause,[],[f45139,f70869])).
% 59.37/10.03  tff(f70869,plain,(
% 59.37/10.03    spl2737_1331 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1644(X0,X1) != X0 | ~sP303(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1331])])).
% 59.37/10.03  tff(f45139,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1644(X0,X1) != X0 | ~sP303(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31360])).
% 59.37/10.03  tff(f70867,plain,(
% 59.37/10.03    spl2737_1330),
% 59.37/10.03    inference(avatar_split_clause,[],[f45125,f70865])).
% 59.37/10.03  tff(f70865,plain,(
% 59.37/10.03    spl2737_1330 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1634(X0,X1) != X0 | ~sP298(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1330])])).
% 59.37/10.03  tff(f45125,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1634(X0,X1) != X0 | ~sP298(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31347])).
% 59.37/10.03  tff(f70863,plain,(
% 59.37/10.03    spl2737_1329),
% 59.37/10.03    inference(avatar_split_clause,[],[f45124,f70861])).
% 59.37/10.03  tff(f70861,plain,(
% 59.37/10.03    spl2737_1329 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1633(X0,X1) != X0 | ~sP298(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1329])])).
% 59.37/10.03  tff(f45124,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1633(X0,X1) != X0 | ~sP298(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31347])).
% 59.37/10.03  tff(f70859,plain,(
% 59.37/10.03    spl2737_1328),
% 59.37/10.03    inference(avatar_split_clause,[],[f45002,f70857])).
% 59.37/10.03  tff(f70857,plain,(
% 59.37/10.03    spl2737_1328 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1604(X0,X1) = X0 | ~sP286(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1328])])).
% 59.37/10.03  tff(f45002,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1604(X0,X1) = X0 | ~sP286(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31278])).
% 59.37/10.03  tff(f70855,plain,(
% 59.37/10.03    spl2737_1327),
% 59.37/10.03    inference(avatar_split_clause,[],[f44993,f70853])).
% 59.37/10.03  tff(f70853,plain,(
% 59.37/10.03    spl2737_1327 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1599(X0,X1) = X0 | ~sP287(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1327])])).
% 59.37/10.03  tff(f44993,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1599(X0,X1) = X0 | ~sP287(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31274])).
% 59.37/10.03  tff(f70851,plain,(
% 59.37/10.03    spl2737_1326),
% 59.37/10.03    inference(avatar_split_clause,[],[f44981,f70849])).
% 59.37/10.03  tff(f70849,plain,(
% 59.37/10.03    spl2737_1326 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1592(X0,X1) = X0 | ~sP288(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1326])])).
% 59.37/10.03  tff(f44981,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1592(X0,X1) = X0 | ~sP288(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31270])).
% 59.37/10.03  tff(f70847,plain,(
% 59.37/10.03    spl2737_1325),
% 59.37/10.03    inference(avatar_split_clause,[],[f44969,f70845])).
% 59.37/10.03  tff(f70845,plain,(
% 59.37/10.03    spl2737_1325 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1585(X0,X1) = X0 | ~sP289(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1325])])).
% 59.37/10.03  tff(f44969,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1585(X0,X1) = X0 | ~sP289(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31266])).
% 59.37/10.03  tff(f70843,plain,(
% 59.37/10.03    spl2737_1324),
% 59.37/10.03    inference(avatar_split_clause,[],[f44936,f70841])).
% 59.37/10.03  tff(f70841,plain,(
% 59.37/10.03    spl2737_1324 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1550(X0,X1) = X0 | ~sP277(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1324])])).
% 59.37/10.03  tff(f44936,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1550(X0,X1) = X0 | ~sP277(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31235])).
% 59.37/10.03  tff(f70839,plain,(
% 59.37/10.03    spl2737_1323),
% 59.37/10.03    inference(avatar_split_clause,[],[f44927,f70837])).
% 59.37/10.03  tff(f70837,plain,(
% 59.37/10.03    spl2737_1323 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1544(X0,X1) = X0 | ~sP276(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1323])])).
% 59.37/10.03  tff(f44927,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1544(X0,X1) = X0 | ~sP276(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31229])).
% 59.37/10.03  tff(f70835,plain,(
% 59.37/10.03    spl2737_1322),
% 59.37/10.03    inference(avatar_split_clause,[],[f44910,f70833])).
% 59.37/10.03  tff(f70833,plain,(
% 59.37/10.03    spl2737_1322 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP273(X0,sK1532(X0,X1)) | ~sP274(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1322])])).
% 59.37/10.03  tff(f44910,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP273(X0,sK1532(X0,X1)) | ~sP274(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31212])).
% 59.37/10.03  tff(f70831,plain,(
% 59.37/10.03    spl2737_1321 | ~spl2737_85 | ~spl2737_907),
% 59.37/10.03    inference(avatar_split_clause,[],[f69064,f68685,f64644,f70828])).
% 59.37/10.03  tff(f70828,plain,(
% 59.37/10.03    spl2737_1321 <=> sP66(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1321])])).
% 59.37/10.03  tff(f68685,plain,(
% 59.37/10.03    spl2737_907 <=> ! [X0 : $tType] : (sP66(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_907])])).
% 59.37/10.03  tff(f69064,plain,(
% 59.37/10.03    sP66(real) | (~spl2737_85 | ~spl2737_907)),
% 59.37/10.03    inference(resolution,[],[f68686,f64646])).
% 59.37/10.03  tff(f68686,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP66(X0)) ) | ~spl2737_907),
% 59.37/10.03    inference(avatar_component_clause,[],[f68685])).
% 59.37/10.03  tff(f70826,plain,(
% 59.37/10.03    spl2737_1320),
% 59.37/10.03    inference(avatar_split_clause,[],[f44887,f70824])).
% 59.37/10.03  tff(f70824,plain,(
% 59.37/10.03    spl2737_1320 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1518(X0,X1) != X0 | ~sP271(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1320])])).
% 59.37/10.03  tff(f44887,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1518(X0,X1) != X0 | ~sP271(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31196])).
% 59.37/10.03  tff(f70822,plain,(
% 59.37/10.03    spl2737_1319),
% 59.37/10.03    inference(avatar_split_clause,[],[f44886,f70820])).
% 59.37/10.03  tff(f70820,plain,(
% 59.37/10.03    spl2737_1319 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1517(X0,X1) != X0 | ~sP271(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1319])])).
% 59.37/10.03  tff(f44886,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1517(X0,X1) != X0 | ~sP271(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31196])).
% 59.37/10.03  tff(f70818,plain,(
% 59.37/10.03    spl2737_1318),
% 59.37/10.03    inference(avatar_split_clause,[],[f44884,f70816])).
% 59.37/10.03  tff(f70816,plain,(
% 59.37/10.03    spl2737_1318 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1514(X0,X1) != X0 | ~sP272(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1318])])).
% 59.37/10.03  tff(f44884,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1514(X0,X1) != X0 | ~sP272(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31191])).
% 59.37/10.03  tff(f31191,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : vEBT_VEBT] : ((sK1514(X0,X1) != X0 & sK1513(X0,X1) != X0 & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1513(X0,X1)),sK1514(X0,X1))),zero_zero(nat),sK1515(X0,X1),sK1516(X0,X1)) = X1) | ~sP272(X0,X1))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1513,sK1514,sK1515,sK1516])],[f31188,f31190,f31189])).
% 59.37/10.03  tff(f31189,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat] : (X0 != X3 & X0 != X2 & ? [X4 : list(vEBT_VEBT),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),product_Pair(nat,nat,X2),X3)),zero_zero(nat),X4,X5) = X1) => (sK1514(X0,X1) != X0 & sK1513(X0,X1) != X0 & ? [X5 : vEBT_VEBT,X4 : list(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),product_Pair(nat,nat,sK1513(X0,X1)),sK1514(X0,X1))),zero_zero(nat),X4,X5) = X1))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31190,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X5 : vEBT_VEBT,X4 : list(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),product_Pair(nat,nat,sK1513(X0,X1)),sK1514(X0,X1))),zero_zero(nat),X4,X5) = X1 => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1513(X0,X1)),sK1514(X0,X1))),zero_zero(nat),sK1515(X0,X1),sK1516(X0,X1)) = X1)),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31188,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat] : (X0 != X3 & X0 != X2 & ? [X4 : list(vEBT_VEBT),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),product_Pair(nat,nat,X2),X3)),zero_zero(nat),X4,X5) = X1) | ~sP272(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31187])).
% 59.37/10.03  tff(f31187,plain,(
% 59.37/10.03    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X6 : nat,X7 : nat] : (X1 != X7 & X1 != X6 & ? [X8 : list(vEBT_VEBT),X9 : 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),product_Pair(nat,nat,X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP272(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27501])).
% 59.37/10.03  tff(f27501,plain,(
% 59.37/10.03    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X6 : nat,X7 : nat] : (X1 != X7 & X1 != X6 & ? [X8 : list(vEBT_VEBT),X9 : 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),product_Pair(nat,nat,X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP272(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP272])])).
% 59.37/10.03  tff(f70814,plain,(
% 59.37/10.03    spl2737_1317),
% 59.37/10.03    inference(avatar_split_clause,[],[f44883,f70812])).
% 59.37/10.03  tff(f70812,plain,(
% 59.37/10.03    spl2737_1317 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1513(X0,X1) != X0 | ~sP272(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1317])])).
% 59.37/10.03  tff(f44883,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1513(X0,X1) != X0 | ~sP272(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31191])).
% 59.37/10.03  tff(f70810,plain,(
% 59.37/10.03    spl2737_1316),
% 59.37/10.03    inference(avatar_split_clause,[],[f44874,f70808])).
% 59.37/10.03  tff(f70808,plain,(
% 59.37/10.03    spl2737_1316 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1505(X0,X1) != X0 | ~sP267(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1316])])).
% 59.37/10.03  tff(f44874,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1505(X0,X1) != X0 | ~sP267(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31180])).
% 59.37/10.03  tff(f70806,plain,(
% 59.37/10.03    spl2737_1315),
% 59.37/10.03    inference(avatar_split_clause,[],[f44873,f70804])).
% 59.37/10.03  tff(f70804,plain,(
% 59.37/10.03    spl2737_1315 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1504(X0,X1) != X0 | ~sP267(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1315])])).
% 59.37/10.03  tff(f44873,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1504(X0,X1) != X0 | ~sP267(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31180])).
% 59.37/10.03  tff(f70802,plain,(
% 59.37/10.03    spl2737_1314),
% 59.37/10.03    inference(avatar_split_clause,[],[f44870,f70800])).
% 59.37/10.03  tff(f70800,plain,(
% 59.37/10.03    spl2737_1314 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1501(X0,X1) != X0 | ~sP268(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1314])])).
% 59.37/10.03  tff(f44870,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1501(X0,X1) != X0 | ~sP268(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31176])).
% 59.37/10.03  tff(f31176,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : vEBT_VEBT] : ((sK1501(X0,X1) != X0 & sK1500(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1500(X0,X1)),sK1501(X0,X1))),zero_zero(nat),sK1502(X0,X1),sK1503(X0,X1))),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1500(X0,X1)),sK1501(X0,X1))),zero_zero(nat),sK1502(X0,X1),sK1503(X0,X1)) = X1) | ~sP268(X0,X1))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1500,sK1501,sK1502,sK1503])],[f31174,f31175])).
% 59.37/10.03  tff(f31175,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),zero_zero(nat),X4,X5)),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),zero_zero(nat),X4,X5) = X1) => (sK1501(X0,X1) != X0 & sK1500(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1500(X0,X1)),sK1501(X0,X1))),zero_zero(nat),sK1502(X0,X1),sK1503(X0,X1))),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,sK1500(X0,X1)),sK1501(X0,X1))),zero_zero(nat),sK1502(X0,X1),sK1503(X0,X1)) = X1))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31174,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),zero_zero(nat),X4,X5)),X0)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X2),X3)),zero_zero(nat),X4,X5) = X1) | ~sP268(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31173])).
% 59.37/10.03  tff(f31173,plain,(
% 59.37/10.03    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (X1 != X7 & X1 != X6 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X6),X7)),zero_zero(nat),X8,X9)),X1)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP268(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27496])).
% 59.37/10.03  tff(f27496,plain,(
% 59.37/10.03    ! [X1 : nat,X0 : vEBT_VEBT] : (? [X6 : nat,X7 : nat,X8 : list(vEBT_VEBT),X9 : vEBT_VEBT] : (X1 != X7 & X1 != X6 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X6),X7)),zero_zero(nat),X8,X9)),X1)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP268(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP268])])).
% 59.37/10.03  tff(f70798,plain,(
% 59.37/10.03    spl2737_1313),
% 59.37/10.03    inference(avatar_split_clause,[],[f44869,f70796])).
% 59.37/10.03  tff(f70796,plain,(
% 59.37/10.03    spl2737_1313 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1500(X0,X1) != X0 | ~sP268(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1313])])).
% 59.37/10.03  tff(f44869,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1500(X0,X1) != X0 | ~sP268(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31176])).
% 59.37/10.03  tff(f70794,plain,(
% 59.37/10.03    spl2737_1312),
% 59.37/10.03    inference(avatar_split_clause,[],[f44173,f70792])).
% 59.37/10.03  tff(f70792,plain,(
% 59.37/10.03    spl2737_1312 <=> ! [X0 : bool,X1 : bool] : (pp(X1) | pp(X0) | ~pp(fdisj(X0,X1)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1312])])).
% 59.37/10.03  tff(f44173,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : bool] : (pp(X1) | pp(X0) | ~pp(fdisj(X0,X1))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f15284])).
% 59.37/10.03  tff(f15284,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : bool] : (pp(X1) | pp(X0) | ~pp(fdisj(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9885])).
% 59.37/10.03  tff(f9885,axiom,(
% 59.37/10.03    ! [X17 : bool,X31 : bool] : (pp(X31) | pp(X17) | ~pp(fdisj(X17,X31)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_3_1_U)).
% 59.37/10.03  tff(f70790,plain,(
% 59.37/10.03    spl2737_1311),
% 59.37/10.03    inference(avatar_split_clause,[],[f44168,f70788])).
% 59.37/10.03  tff(f70788,plain,(
% 59.37/10.03    spl2737_1311 <=> ! [X0 : bool,X1 : bool] : (pp(fconj(X0,X1)) | ~pp(X1) | ~pp(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1311])])).
% 59.37/10.03  tff(f44168,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : bool] : (pp(fconj(X0,X1)) | ~pp(X1) | ~pp(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f15279])).
% 59.37/10.03  tff(f15279,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : bool] : (pp(fconj(X0,X1)) | ~pp(X1) | ~pp(X0))),
% 59.37/10.03    inference(rectify,[],[f9884])).
% 59.37/10.03  tff(f9884,axiom,(
% 59.37/10.03    ! [X17 : bool,X31 : bool] : (pp(fconj(X17,X31)) | ~pp(X31) | ~pp(X17))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_1_1_U)).
% 59.37/10.03  tff(f70786,plain,(
% 59.37/10.03    spl2737_1310 | ~spl2737_84 | ~spl2737_907),
% 59.37/10.03    inference(avatar_split_clause,[],[f69063,f68685,f64639,f70783])).
% 59.37/10.03  tff(f70783,plain,(
% 59.37/10.03    spl2737_1310 <=> sP66(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1310])])).
% 59.37/10.03  tff(f69063,plain,(
% 59.37/10.03    sP66(rat) | (~spl2737_84 | ~spl2737_907)),
% 59.37/10.03    inference(resolution,[],[f68686,f64641])).
% 59.37/10.03  tff(f70781,plain,(
% 59.37/10.03    spl2737_1309),
% 59.37/10.03    inference(avatar_split_clause,[],[f43505,f70779])).
% 59.37/10.03  tff(f70779,plain,(
% 59.37/10.03    spl2737_1309 <=> ! [X0 : real] : sin(real,X0) = sin(real,sK1313(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1309])])).
% 59.37/10.03  tff(f43505,plain,(
% 59.37/10.03    ( ! [X0 : real] : (sin(real,X0) = sin(real,sK1313(X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30745])).
% 59.37/10.03  tff(f70777,plain,(
% 59.37/10.03    spl2737_1308),
% 59.37/10.03    inference(avatar_split_clause,[],[f43363,f70775])).
% 59.37/10.03  tff(f43363,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (pp(aa(nat,bool,aTP_Lamp_kc(nat,bool),X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14633])).
% 59.37/10.03  tff(f14633,plain,(
% 59.37/10.03    ! [X0 : nat] : pp(aa(nat,bool,aTP_Lamp_kc(nat,bool),X0))),
% 59.37/10.03    inference(true_and_false_elimination,[],[f14632])).
% 59.37/10.03  tff(f14632,plain,(
% 59.37/10.03    ! [X0 : nat] : (pp(aa(nat,bool,aTP_Lamp_kc(nat,bool),X0)) <=> $true)),
% 59.37/10.03    inference(rectify,[],[f8976])).
% 59.37/10.03  tff(f8976,axiom,(
% 59.37/10.03    ! [X94 : nat] : (pp(aa(nat,bool,aTP_Lamp_kc(nat,bool),X94)) <=> $true)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8975_ATP_Olambda__860)).
% 59.37/10.03  tff(f70773,plain,(
% 59.37/10.03    spl2737_1307),
% 59.37/10.03    inference(avatar_split_clause,[],[f43362,f70771])).
% 59.37/10.03  tff(f70771,plain,(
% 59.37/10.03    spl2737_1307 <=> ! [X0 : nat] : ~pp(aa(nat,bool,aTP_Lamp_kb(nat,bool),X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1307])])).
% 59.37/10.03  tff(f43362,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (~pp(aa(nat,bool,aTP_Lamp_kb(nat,bool),X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14631])).
% 59.37/10.03  tff(f14631,plain,(
% 59.37/10.03    ! [X0 : nat] : ~pp(aa(nat,bool,aTP_Lamp_kb(nat,bool),X0))),
% 59.37/10.03    inference(flattening,[],[f14630])).
% 59.37/10.03  tff(f14630,plain,(
% 59.37/10.03    ! [X0 : nat] : ~pp(aa(nat,bool,aTP_Lamp_kb(nat,bool),X0))),
% 59.37/10.03    inference(true_and_false_elimination,[],[f14629])).
% 59.37/10.03  tff(f14629,plain,(
% 59.37/10.03    ! [X0 : nat] : (pp(aa(nat,bool,aTP_Lamp_kb(nat,bool),X0)) <=> $false)),
% 59.37/10.03    inference(rectify,[],[f8975])).
% 59.37/10.03  tff(f8975,axiom,(
% 59.37/10.03    ! [X94 : nat] : (pp(aa(nat,bool,aTP_Lamp_kb(nat,bool),X94)) <=> $false)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8974_ATP_Olambda__859)).
% 59.37/10.03  tff(f70769,plain,(
% 59.37/10.03    spl2737_1306),
% 59.37/10.03    inference(avatar_split_clause,[],[f43326,f70767])).
% 59.37/10.03  tff(f70767,plain,(
% 59.37/10.03    spl2737_1306 <=> ! [X0 : real] : (zero_zero(real) = sin(real,X0) | ~sP242(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1306])])).
% 59.37/10.03  tff(f43326,plain,(
% 59.37/10.03    ( ! [X0 : real] : (zero_zero(real) = sin(real,X0) | ~sP242(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30588])).
% 59.37/10.03  tff(f30588,plain,(
% 59.37/10.03    ! [X0 : real] : ((zero_zero(real) = sin(real,X0) | ~sP242(X0)) & (sP242(X0) | zero_zero(real) != sin(real,X0)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27453])).
% 59.37/10.03  tff(f27453,plain,(
% 59.37/10.03    ! [X0 : real] : (zero_zero(real) = sin(real,X0) <=> sP242(X0))),
% 59.37/10.03    inference(definition_folding,[],[f14614,f27452])).
% 59.37/10.03  tff(f27452,plain,(
% 59.37/10.03    ! [X0 : real] : (sP242(X0) <=> (? [X1 : nat] : (aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) = X0 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ? [X2 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X2)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))) = X0 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2)))))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP242])])).
% 59.37/10.03  tff(f14614,plain,(
% 59.37/10.03    ! [X0 : real] : (zero_zero(real) = sin(real,X0) <=> (? [X1 : nat] : (aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X1)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) = X0 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) | ? [X2 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X2)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))) = X0 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2)))))),
% 59.37/10.03    inference(rectify,[],[f2990])).
% 59.37/10.03  tff(f2990,axiom,(
% 59.37/10.03    ! [X14 : real] : (zero_zero(real) = sin(real,X14) <=> (? [X62 : nat] : (aa(real,real,uminus_uminus(real),aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X62)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2))))) = X14 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62))) | ? [X62 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X62)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),bit0(one2)))) = X14 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62)))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2989_sin__zero__iff)).
% 59.37/10.03  tff(f70765,plain,(
% 59.37/10.03    spl2737_1305),
% 59.37/10.03    inference(avatar_split_clause,[],[f43325,f70763])).
% 59.37/10.03  tff(f70763,plain,(
% 59.37/10.03    spl2737_1305 <=> ! [X0 : real] : (sP242(X0) | zero_zero(real) != sin(real,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1305])])).
% 59.37/10.03  tff(f43325,plain,(
% 59.37/10.03    ( ! [X0 : real] : (sP242(X0) | zero_zero(real) != sin(real,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30588])).
% 59.37/10.03  tff(f70761,plain,(
% 59.37/10.03    spl2737_1304),
% 59.37/10.03    inference(avatar_split_clause,[],[f42340,f70759])).
% 59.37/10.03  tff(f70759,plain,(
% 59.37/10.03    spl2737_1304 <=> ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP227(X2,X0,X1) | ~sP225(X2,X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1304])])).
% 59.37/10.03  tff(f42340,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP227(X2,X0,X1) | ~sP225(X2,X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30103])).
% 59.37/10.03  tff(f70757,plain,(
% 59.37/10.03    spl2737_1303),
% 59.37/10.03    inference(avatar_split_clause,[],[f42339,f70755])).
% 59.37/10.03  tff(f70755,plain,(
% 59.37/10.03    spl2737_1303 <=> ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP227(X2,X0,X1) | ~sP226(X2,X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1303])])).
% 59.37/10.03  tff(f42339,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP227(X2,X0,X1) | ~sP226(X2,X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30103])).
% 59.37/10.03  tff(f70753,plain,(
% 59.37/10.03    spl2737_1302),
% 59.37/10.03    inference(avatar_split_clause,[],[f42320,f70751])).
% 59.37/10.03  tff(f70751,plain,(
% 59.37/10.03    spl2737_1302 <=> ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP223(X2,X0,X1) | ~sP221(X2,X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1302])])).
% 59.37/10.03  tff(f42320,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP223(X2,X0,X1) | ~sP221(X2,X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30088])).
% 59.37/10.03  tff(f70749,plain,(
% 59.37/10.03    spl2737_1301),
% 59.37/10.03    inference(avatar_split_clause,[],[f42319,f70747])).
% 59.37/10.03  tff(f70747,plain,(
% 59.37/10.03    spl2737_1301 <=> ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP223(X2,X0,X1) | ~sP222(X2,X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1301])])).
% 59.37/10.03  tff(f42319,plain,(
% 59.37/10.03    ( ! [X2 : $tType,X0 : list(X2),X1 : list(X2)] : (sP223(X2,X0,X1) | ~sP222(X2,X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30088])).
% 59.37/10.03  tff(f70745,plain,(
% 59.37/10.03    spl2737_1300),
% 59.37/10.03    inference(avatar_split_clause,[],[f41897,f70743])).
% 59.37/10.03  tff(f70743,plain,(
% 59.37/10.03    spl2737_1300 <=> ! [X0 : $tType] : (sorted_wrt(X0,ord_less(X0),nil(X0)) | ~linorder(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1300])])).
% 59.37/10.03  tff(f41897,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (sorted_wrt(X0,ord_less(X0),nil(X0)) | ~linorder(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f22316])).
% 59.37/10.03  tff(f22316,plain,(
% 59.37/10.03    ! [X0 : $tType] : (sorted_wrt(X0,ord_less(X0),nil(X0)) | ~linorder(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f5250])).
% 59.37/10.03  tff(f5250,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (linorder(X0) => sorted_wrt(X0,ord_less(X0),nil(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5249_strict__sorted__simps_I1_J)).
% 59.37/10.03  tff(f70741,plain,(
% 59.37/10.03    spl2737_1299 | ~spl2737_85 | ~spl2737_906),
% 59.37/10.03    inference(avatar_split_clause,[],[f69062,f68681,f64644,f70738])).
% 59.37/10.03  tff(f70738,plain,(
% 59.37/10.03    spl2737_1299 <=> sP64(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1299])])).
% 59.37/10.03  tff(f68681,plain,(
% 59.37/10.03    spl2737_906 <=> ! [X0 : $tType] : (sP64(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_906])])).
% 59.37/10.03  tff(f69062,plain,(
% 59.37/10.03    sP64(real) | (~spl2737_85 | ~spl2737_906)),
% 59.37/10.03    inference(resolution,[],[f68682,f64646])).
% 59.37/10.03  tff(f68682,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP64(X0)) ) | ~spl2737_906),
% 59.37/10.03    inference(avatar_component_clause,[],[f68681])).
% 59.37/10.03  tff(f70736,plain,(
% 59.37/10.03    spl2737_1298),
% 59.37/10.03    inference(avatar_split_clause,[],[f41729,f70734])).
% 59.37/10.03  tff(f70734,plain,(
% 59.37/10.03    spl2737_1298 <=> ! [X0 : $tType] : (monoid(X0,plus_plus(X0),zero_zero(X0)) | ~monoid_add(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1298])])).
% 59.37/10.03  tff(f41729,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (monoid(X0,plus_plus(X0),zero_zero(X0)) | ~monoid_add(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f22169])).
% 59.37/10.03  tff(f22169,plain,(
% 59.37/10.03    ! [X0 : $tType] : (monoid(X0,plus_plus(X0),zero_zero(X0)) | ~monoid_add(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7399])).
% 59.37/10.03  tff(f7399,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (monoid_add(X0) => monoid(X0,plus_plus(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7398_add_Omonoid__axioms)).
% 59.37/10.03  tff(f70732,plain,(
% 59.37/10.03    spl2737_1297),
% 59.37/10.03    inference(avatar_split_clause,[],[f41634,f70730])).
% 59.37/10.03  tff(f70730,plain,(
% 59.37/10.03    spl2737_1297 <=> ! [X0 : $tType] : (comm_monoid(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1297])])).
% 59.37/10.03  tff(f41634,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (comm_monoid(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f22075])).
% 59.37/10.03  tff(f22075,plain,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7757])).
% 59.37/10.03  tff(f7757,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid_add(X0) => comm_monoid(X0,plus_plus(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7756_add_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70728,plain,(
% 59.37/10.03    spl2737_1296),
% 59.37/10.03    inference(avatar_split_clause,[],[f41633,f70726])).
% 59.37/10.03  tff(f70726,plain,(
% 59.37/10.03    spl2737_1296 <=> ! [X0 : $tType] : (groups778175481326437816id_set(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1296])])).
% 59.37/10.03  tff(f41633,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (groups778175481326437816id_set(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f22074])).
% 59.37/10.03  tff(f22074,plain,(
% 59.37/10.03    ! [X0 : $tType] : (groups778175481326437816id_set(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7847])).
% 59.37/10.03  tff(f7847,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid_add(X0) => groups778175481326437816id_set(X0,plus_plus(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7846_sum_Ocomm__monoid__set__axioms)).
% 59.37/10.03  tff(f70724,plain,(
% 59.37/10.03    spl2737_1295),
% 59.37/10.03    inference(avatar_split_clause,[],[f41632,f70722])).
% 59.37/10.03  tff(f70722,plain,(
% 59.37/10.03    spl2737_1295 <=> ! [X0 : $tType] : (groups4802862169904069756st_set(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1295])])).
% 59.37/10.03  tff(f41632,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (groups4802862169904069756st_set(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f22073])).
% 59.37/10.03  tff(f22073,plain,(
% 59.37/10.03    ! [X0 : $tType] : (groups4802862169904069756st_set(X0,plus_plus(X0),zero_zero(X0)) | ~comm_monoid_add(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7815])).
% 59.37/10.03  tff(f7815,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid_add(X0) => groups4802862169904069756st_set(X0,plus_plus(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7814_sum_Ocomm__monoid__list__set__axioms)).
% 59.37/10.03  tff(f70720,plain,(
% 59.37/10.03    spl2737_1294),
% 59.37/10.03    inference(avatar_split_clause,[],[f41547,f70718])).
% 59.37/10.03  tff(f70718,plain,(
% 59.37/10.03    spl2737_1294 <=> ! [X0 : $tType] : (comm_monoid(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1294])])).
% 59.37/10.03  tff(f41547,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (comm_monoid(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21992])).
% 59.37/10.03  tff(f21992,plain,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7754])).
% 59.37/10.03  tff(f7754,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid_mult(X0) => comm_monoid(X0,times_times(X0),one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7753_mult_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70716,plain,(
% 59.37/10.03    spl2737_1293),
% 59.37/10.03    inference(avatar_split_clause,[],[f41546,f70714])).
% 59.37/10.03  tff(f70714,plain,(
% 59.37/10.03    spl2737_1293 <=> ! [X0 : $tType] : (groups778175481326437816id_set(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1293])])).
% 59.37/10.03  tff(f41546,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (groups778175481326437816id_set(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21991])).
% 59.37/10.03  tff(f21991,plain,(
% 59.37/10.03    ! [X0 : $tType] : (groups778175481326437816id_set(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7846])).
% 59.37/10.03  tff(f7846,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid_mult(X0) => groups778175481326437816id_set(X0,times_times(X0),one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7845_prod_Ocomm__monoid__set__axioms)).
% 59.37/10.03  tff(f70712,plain,(
% 59.37/10.03    spl2737_1292),
% 59.37/10.03    inference(avatar_split_clause,[],[f41545,f70710])).
% 59.37/10.03  tff(f70710,plain,(
% 59.37/10.03    spl2737_1292 <=> ! [X0 : $tType] : (groups4802862169904069756st_set(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1292])])).
% 59.37/10.03  tff(f41545,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (groups4802862169904069756st_set(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21990])).
% 59.37/10.03  tff(f21990,plain,(
% 59.37/10.03    ! [X0 : $tType] : (groups4802862169904069756st_set(X0,times_times(X0),one_one(X0)) | ~comm_monoid_mult(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7814])).
% 59.37/10.03  tff(f7814,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid_mult(X0) => groups4802862169904069756st_set(X0,times_times(X0),one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7813_prod_Ocomm__monoid__list__set__axioms)).
% 59.37/10.03  tff(f70708,plain,(
% 59.37/10.03    spl2737_1291),
% 59.37/10.03    inference(avatar_split_clause,[],[f41451,f70706])).
% 59.37/10.03  tff(f70706,plain,(
% 59.37/10.03    spl2737_1291 <=> ! [X0 : $tType,X1 : set(nat)] : (inj_on(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1291])])).
% 59.37/10.03  tff(f41451,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(nat)] : (inj_on(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21917])).
% 59.37/10.03  tff(f21917,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(nat)] : inj_on(nat,X0,semiring_1_of_nat(X0),X1) | ~semiring_char_0(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f13385])).
% 59.37/10.03  tff(f13385,plain,(
% 59.37/10.03    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X1 : set(nat)] : inj_on(nat,X0,semiring_1_of_nat(X0),X1))),
% 59.37/10.03    inference(rectify,[],[f6202])).
% 59.37/10.03  tff(f6202,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (semiring_char_0(X0) => ! [X143 : set(nat)] : inj_on(nat,X0,semiring_1_of_nat(X0),X143))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6201_inj__on__of__nat)).
% 59.37/10.03  tff(f70704,plain,(
% 59.37/10.03    spl2737_1290),
% 59.37/10.03    inference(avatar_split_clause,[],[f41396,f70702])).
% 59.37/10.03  tff(f70702,plain,(
% 59.37/10.03    spl2737_1290 <=> ! [X0 : $tType] : (monoid(X0,times_times(X0),one_one(X0)) | ~monoid_mult(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1290])])).
% 59.37/10.03  tff(f41396,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (monoid(X0,times_times(X0),one_one(X0)) | ~monoid_mult(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21865])).
% 59.37/10.03  tff(f21865,plain,(
% 59.37/10.03    ! [X0 : $tType] : (monoid(X0,times_times(X0),one_one(X0)) | ~monoid_mult(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7398])).
% 59.37/10.03  tff(f7398,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (monoid_mult(X0) => monoid(X0,times_times(X0),one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7397_mult_Omonoid__axioms)).
% 59.37/10.03  tff(f70700,plain,(
% 59.37/10.03    spl2737_1289),
% 59.37/10.03    inference(avatar_split_clause,[],[f40920,f70698])).
% 59.37/10.03  tff(f70698,plain,(
% 59.37/10.03    spl2737_1289 <=> ! [X0 : $tType] : (monoid(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1289])])).
% 59.37/10.03  tff(f40920,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (monoid(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21424])).
% 59.37/10.03  tff(f21424,plain,(
% 59.37/10.03    ! [X0 : $tType] : (monoid(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7402])).
% 59.37/10.03  tff(f7402,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => monoid(X0,sup_sup(X0),bot_bot(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7401_sup__bot_Omonoid__axioms)).
% 59.37/10.03  tff(f70696,plain,(
% 59.37/10.03    spl2737_1288 | ~spl2737_84 | ~spl2737_906),
% 59.37/10.03    inference(avatar_split_clause,[],[f69061,f68681,f64639,f70693])).
% 59.37/10.03  tff(f70693,plain,(
% 59.37/10.03    spl2737_1288 <=> sP64(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1288])])).
% 59.37/10.03  tff(f69061,plain,(
% 59.37/10.03    sP64(rat) | (~spl2737_84 | ~spl2737_906)),
% 59.37/10.03    inference(resolution,[],[f68682,f64641])).
% 59.37/10.03  tff(f70691,plain,(
% 59.37/10.03    spl2737_1287),
% 59.37/10.03    inference(avatar_split_clause,[],[f40919,f70689])).
% 59.37/10.03  tff(f70689,plain,(
% 59.37/10.03    spl2737_1287 <=> ! [X0 : $tType] : (comm_monoid(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1287])])).
% 59.37/10.03  tff(f40919,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (comm_monoid(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21423])).
% 59.37/10.03  tff(f21423,plain,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7753])).
% 59.37/10.03  tff(f7753,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => comm_monoid(X0,sup_sup(X0),bot_bot(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7752_sup__bot_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70687,plain,(
% 59.37/10.03    spl2737_1286),
% 59.37/10.03    inference(avatar_split_clause,[],[f40918,f70685])).
% 59.37/10.03  tff(f70685,plain,(
% 59.37/10.03    spl2737_1286 <=> ! [X0 : $tType] : (semilattice_neutr(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1286])])).
% 59.37/10.03  tff(f40918,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (semilattice_neutr(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21422])).
% 59.37/10.03  tff(f21422,plain,(
% 59.37/10.03    ! [X0 : $tType] : (semilattice_neutr(X0,sup_sup(X0),bot_bot(X0)) | ~bounde4967611905675639751up_bot(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7348])).
% 59.37/10.03  tff(f7348,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bounde4967611905675639751up_bot(X0) => semilattice_neutr(X0,sup_sup(X0),bot_bot(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7347_sup__bot_Osemilattice__neutr__axioms)).
% 59.37/10.03  tff(f70683,plain,(
% 59.37/10.03    spl2737_1285),
% 59.37/10.03    inference(avatar_split_clause,[],[f40884,f70681])).
% 59.37/10.03  tff(f70681,plain,(
% 59.37/10.03    spl2737_1285 <=> ! [X0 : $tType] : (monoid(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1285])])).
% 59.37/10.03  tff(f40884,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (monoid(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21400])).
% 59.37/10.03  tff(f21400,plain,(
% 59.37/10.03    ! [X0 : $tType] : (monoid(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7397])).
% 59.37/10.03  tff(f7397,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => monoid(X0,inf_inf(X0),top_top(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7396_inf__top_Omonoid__axioms)).
% 59.37/10.03  tff(f70679,plain,(
% 59.37/10.03    spl2737_1284),
% 59.37/10.03    inference(avatar_split_clause,[],[f40883,f70677])).
% 59.37/10.03  tff(f70677,plain,(
% 59.37/10.03    spl2737_1284 <=> ! [X0 : $tType] : (comm_monoid(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1284])])).
% 59.37/10.03  tff(f40883,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (comm_monoid(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21399])).
% 59.37/10.03  tff(f21399,plain,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7762])).
% 59.37/10.03  tff(f7762,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => comm_monoid(X0,inf_inf(X0),top_top(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7761_inf__top_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70675,plain,(
% 59.37/10.03    spl2737_1283),
% 59.37/10.03    inference(avatar_split_clause,[],[f40882,f70673])).
% 59.37/10.03  tff(f70673,plain,(
% 59.37/10.03    spl2737_1283 <=> ! [X0 : $tType] : (semilattice_neutr(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1283])])).
% 59.37/10.03  tff(f40882,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (semilattice_neutr(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21398])).
% 59.37/10.03  tff(f21398,plain,(
% 59.37/10.03    ! [X0 : $tType] : (semilattice_neutr(X0,inf_inf(X0),top_top(X0)) | ~bounde4346867609351753570nf_top(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7347])).
% 59.37/10.03  tff(f7347,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bounde4346867609351753570nf_top(X0) => semilattice_neutr(X0,inf_inf(X0),top_top(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7346_inf__top_Osemilattice__neutr__axioms)).
% 59.37/10.03  tff(f70671,plain,(
% 59.37/10.03    spl2737_1282),
% 59.37/10.03    inference(avatar_split_clause,[],[f40687,f70669])).
% 59.37/10.03  tff(f70669,plain,(
% 59.37/10.03    spl2737_1282 <=> ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK827(X0,X1)) | ~sP191(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1282])])).
% 59.37/10.03  tff(f40687,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK827(X0,X1)) | ~sP191(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29533])).
% 59.37/10.03  tff(f29533,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : ((sP191(X0,X1) | ! [X2 : X0,X3 : X0] : (~neg_numeral_is_num(X0,X3) | ~neg_numeral_is_num(X0,X2) | aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) != X1)) & ((neg_numeral_is_num(X0,sK827(X0,X1)) & neg_numeral_is_num(X0,sK826(X0,X1)) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK826(X0,X1)),sK827(X0,X1)) = X1) | ~sP191(X0,X1)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK826,sK827])],[f29531,f29532])).
% 59.37/10.03  tff(f29532,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : (? [X4 : X0,X5 : X0] : (neg_numeral_is_num(X0,X5) & neg_numeral_is_num(X0,X4) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5) = X1) => (neg_numeral_is_num(X0,sK827(X0,X1)) & neg_numeral_is_num(X0,sK826(X0,X1)) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK826(X0,X1)),sK827(X0,X1)) = X1))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f29531,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : ((sP191(X0,X1) | ! [X2 : X0,X3 : X0] : (~neg_numeral_is_num(X0,X3) | ~neg_numeral_is_num(X0,X2) | aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) != X1)) & (? [X4 : X0,X5 : X0] : (neg_numeral_is_num(X0,X5) & neg_numeral_is_num(X0,X4) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5) = X1) | ~sP191(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f29530])).
% 59.37/10.03  tff(f29530,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : ((sP191(X0,X1) | ! [X2 : X0,X3 : X0] : (~neg_numeral_is_num(X0,X3) | ~neg_numeral_is_num(X0,X2) | aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) != X1)) & (? [X2 : X0,X3 : X0] : (neg_numeral_is_num(X0,X3) & neg_numeral_is_num(X0,X2) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) = X1) | ~sP191(X0,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27375])).
% 59.37/10.03  tff(f27375,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : (sP191(X0,X1) <=> ? [X2 : X0,X3 : X0] : (neg_numeral_is_num(X0,X3) & neg_numeral_is_num(X0,X2) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) = X1))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP191])])).
% 59.37/10.03  tff(f70667,plain,(
% 59.37/10.03    spl2737_1281),
% 59.37/10.03    inference(avatar_split_clause,[],[f40686,f70665])).
% 59.37/10.03  tff(f70665,plain,(
% 59.37/10.03    spl2737_1281 <=> ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK826(X0,X1)) | ~sP191(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1281])])).
% 59.37/10.03  tff(f40686,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK826(X0,X1)) | ~sP191(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29533])).
% 59.37/10.03  tff(f70663,plain,(
% 59.37/10.03    spl2737_1280),
% 59.37/10.03    inference(avatar_split_clause,[],[f40679,f70661])).
% 59.37/10.03  tff(f70661,plain,(
% 59.37/10.03    spl2737_1280 <=> ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,X1) | ~sP192(X0,X1) | ~sP193(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1280])])).
% 59.37/10.03  tff(f40679,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,X1) | ~sP192(X0,X1) | ~sP193(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29524])).
% 59.37/10.03  tff(f29524,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : ((neg_numeral_is_num(X0,X1) | ~sP192(X0,X1)) & (sP192(X0,X1) | ~neg_numeral_is_num(X0,X1))) | ~sP193(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27377])).
% 59.37/10.03  tff(f27377,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : (neg_numeral_is_num(X0,X1) <=> sP192(X0,X1)) | ~sP193(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP193])])).
% 59.37/10.03  tff(f70659,plain,(
% 59.37/10.03    spl2737_1279),
% 59.37/10.03    inference(avatar_split_clause,[],[f40678,f70657])).
% 59.37/10.03  tff(f70657,plain,(
% 59.37/10.03    spl2737_1279 <=> ! [X0 : $tType,X1 : X0] : (sP192(X0,X1) | ~neg_numeral_is_num(X0,X1) | ~sP193(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1279])])).
% 59.37/10.03  tff(f40678,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (sP192(X0,X1) | ~neg_numeral_is_num(X0,X1) | ~sP193(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29524])).
% 59.37/10.03  tff(f70655,plain,(
% 59.37/10.03    spl2737_1278),
% 59.37/10.03    inference(avatar_split_clause,[],[f40675,f70653])).
% 59.37/10.03  tff(f70653,plain,(
% 59.37/10.03    spl2737_1278 <=> ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK823(X0,X1)) | ~sP190(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1278])])).
% 59.37/10.03  tff(f40675,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK823(X0,X1)) | ~sP190(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29521])).
% 59.37/10.03  tff(f29521,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : ((neg_numeral_is_num(X0,sK823(X0,X1)) & neg_numeral_is_num(X0,sK822(X0,X1)) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK822(X0,X1)),sK823(X0,X1)) = X1) | ~sP190(X0,X1))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK822,sK823])],[f29519,f29520])).
% 59.37/10.03  tff(f29520,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : (? [X2 : X0,X3 : X0] : (neg_numeral_is_num(X0,X3) & neg_numeral_is_num(X0,X2) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) = X1) => (neg_numeral_is_num(X0,sK823(X0,X1)) & neg_numeral_is_num(X0,sK822(X0,X1)) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),sK822(X0,X1)),sK823(X0,X1)) = X1))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f29519,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : (? [X2 : X0,X3 : X0] : (neg_numeral_is_num(X0,X3) & neg_numeral_is_num(X0,X2) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) = X1) | ~sP190(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f29518])).
% 59.37/10.03  tff(f29518,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0] : (? [X3 : X0,X4 : X0] : (neg_numeral_is_num(X0,X4) & neg_numeral_is_num(X0,X3) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X4) = X1) | ~sP190(X0,X1))),
% 59.37/10.03    inference(nnf_transformation,[],[f27373])).
% 59.37/10.03  tff(f70651,plain,(
% 59.37/10.03    spl2737_1277 | ~spl2737_85 | ~spl2737_905),
% 59.37/10.03    inference(avatar_split_clause,[],[f69060,f68677,f64644,f70648])).
% 59.37/10.03  tff(f70648,plain,(
% 59.37/10.03    spl2737_1277 <=> sP62(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1277])])).
% 59.37/10.03  tff(f68677,plain,(
% 59.37/10.03    spl2737_905 <=> ! [X0 : $tType] : (sP62(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_905])])).
% 59.37/10.03  tff(f69060,plain,(
% 59.37/10.03    sP62(real) | (~spl2737_85 | ~spl2737_905)),
% 59.37/10.03    inference(resolution,[],[f68678,f64646])).
% 59.37/10.03  tff(f68678,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP62(X0)) ) | ~spl2737_905),
% 59.37/10.03    inference(avatar_component_clause,[],[f68677])).
% 59.37/10.03  tff(f70646,plain,(
% 59.37/10.03    spl2737_1276),
% 59.37/10.03    inference(avatar_split_clause,[],[f40674,f70644])).
% 59.37/10.03  tff(f70644,plain,(
% 59.37/10.03    spl2737_1276 <=> ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK822(X0,X1)) | ~sP190(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1276])])).
% 59.37/10.03  tff(f40674,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (neg_numeral_is_num(X0,sK822(X0,X1)) | ~sP190(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f29521])).
% 59.37/10.03  tff(f70642,plain,(
% 59.37/10.03    spl2737_1275),
% 59.37/10.03    inference(avatar_split_clause,[],[f39847,f70640])).
% 59.37/10.03  tff(f70640,plain,(
% 59.37/10.03    spl2737_1275 <=> ! [X0 : $tType] : (monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1275])])).
% 59.37/10.03  tff(f39847,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20681])).
% 59.37/10.03  tff(f20681,plain,(
% 59.37/10.03    ! [X0 : $tType] : (monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7404])).
% 59.37/10.03  tff(f7404,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7403_or_Omonoid__axioms)).
% 59.37/10.03  tff(f70638,plain,(
% 59.37/10.03    spl2737_1274),
% 59.37/10.03    inference(avatar_split_clause,[],[f39846,f70636])).
% 59.37/10.03  tff(f70636,plain,(
% 59.37/10.03    spl2737_1274 <=> ! [X0 : $tType] : (monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1274])])).
% 59.37/10.03  tff(f39846,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20680])).
% 59.37/10.03  tff(f20680,plain,(
% 59.37/10.03    ! [X0 : $tType] : (monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7405])).
% 59.37/10.03  tff(f7405,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7404_xor_Omonoid__axioms)).
% 59.37/10.03  tff(f70634,plain,(
% 59.37/10.03    spl2737_1273),
% 59.37/10.03    inference(avatar_split_clause,[],[f39845,f70632])).
% 59.37/10.03  tff(f70632,plain,(
% 59.37/10.03    spl2737_1273 <=> ! [X0 : $tType] : (comm_monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1273])])).
% 59.37/10.03  tff(f39845,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (comm_monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20679])).
% 59.37/10.03  tff(f20679,plain,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7758])).
% 59.37/10.03  tff(f7758,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => comm_monoid(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7757_or_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70630,plain,(
% 59.37/10.03    spl2737_1272),
% 59.37/10.03    inference(avatar_split_clause,[],[f39844,f70628])).
% 59.37/10.03  tff(f70628,plain,(
% 59.37/10.03    spl2737_1272 <=> ! [X0 : $tType] : (comm_monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1272])])).
% 59.37/10.03  tff(f39844,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (comm_monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20678])).
% 59.37/10.03  tff(f20678,plain,(
% 59.37/10.03    ! [X0 : $tType] : (comm_monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7759])).
% 59.37/10.03  tff(f7759,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => comm_monoid(X0,bit_se5824344971392196577ns_xor(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7758_xor_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70626,plain,(
% 59.37/10.03    spl2737_1271),
% 59.37/10.03    inference(avatar_split_clause,[],[f39843,f70624])).
% 59.37/10.03  tff(f70624,plain,(
% 59.37/10.03    spl2737_1271 <=> ! [X0 : $tType] : (semilattice_neutr(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1271])])).
% 59.37/10.03  tff(f39843,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (semilattice_neutr(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20677])).
% 59.37/10.03  tff(f20677,plain,(
% 59.37/10.03    ! [X0 : $tType] : (semilattice_neutr(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)) | ~bit_se359711467146920520ations(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7352])).
% 59.37/10.03  tff(f7352,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (bit_se359711467146920520ations(X0) => semilattice_neutr(X0,bit_se1065995026697491101ons_or(X0),zero_zero(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7351_or_Osemilattice__neutr__axioms)).
% 59.37/10.03  tff(f70622,plain,(
% 59.37/10.03    spl2737_1270),
% 59.37/10.03    inference(avatar_split_clause,[],[f39649,f70620])).
% 59.37/10.03  tff(f70620,plain,(
% 59.37/10.03    spl2737_1270 <=> ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,X0,uminus_uminus(X0),X1) | ~ordered_ab_group_add(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1270])])).
% 59.37/10.03  tff(f39649,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,X0,uminus_uminus(X0),X1) | ~ordered_ab_group_add(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20537])).
% 59.37/10.03  tff(f20537,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : inj_on(X0,X0,uminus_uminus(X0),X1) | ~ordered_ab_group_add(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f12285])).
% 59.37/10.03  tff(f12285,plain,(
% 59.37/10.03    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X1 : set(X0)] : inj_on(X0,X0,uminus_uminus(X0),X1))),
% 59.37/10.03    inference(rectify,[],[f6151])).
% 59.37/10.03  tff(f6151,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (ordered_ab_group_add(X0) => ! [X30 : set(X0)] : inj_on(X0,X0,uminus_uminus(X0),X30))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6150_inj__uminus)).
% 59.37/10.03  tff(f70618,plain,(
% 59.37/10.03    spl2737_1269),
% 59.37/10.03    inference(avatar_split_clause,[],[f39086,f70616])).
% 59.37/10.03  tff(f70616,plain,(
% 59.37/10.03    spl2737_1269 <=> ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != euclid7384307370059645450egment(X0,X1) | ~euclid3128863361964157862miring(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1269])])).
% 59.37/10.03  tff(f39086,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (zero_zero(X0) != euclid7384307370059645450egment(X0,X1) | ~euclid3128863361964157862miring(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20189])).
% 59.37/10.03  tff(f20189,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : zero_zero(X0) != euclid7384307370059645450egment(X0,X1) | ~euclid3128863361964157862miring(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f11985])).
% 59.37/10.03  tff(f11985,plain,(
% 59.37/10.03    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X1 : X0] : zero_zero(X0) != euclid7384307370059645450egment(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f7042])).
% 59.37/10.03  tff(f7042,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (euclid3128863361964157862miring(X0) => ! [X7 : X0] : zero_zero(X0) != euclid7384307370059645450egment(X0,X7))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7041_division__segment__not__0)).
% 59.37/10.03  tff(f70614,plain,(
% 59.37/10.03    spl2737_1268),
% 59.37/10.03    inference(avatar_split_clause,[],[f38425,f70612])).
% 59.37/10.03  tff(f70612,plain,(
% 59.37/10.03    spl2737_1268 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP103(X0,X1) | ~sP104(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1268])])).
% 59.37/10.03  tff(f38425,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP103(X0,X1) | ~sP104(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28765])).
% 59.37/10.03  tff(f28765,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP103(X0,X1)) & (sP103(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP104(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27239])).
% 59.37/10.03  tff(f27239,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP103(X0,X1)) | ~sP104(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])])).
% 59.37/10.03  tff(f70610,plain,(
% 59.37/10.03    spl2737_1267),
% 59.37/10.03    inference(avatar_split_clause,[],[f38424,f70608])).
% 59.37/10.03  tff(f70608,plain,(
% 59.37/10.03    spl2737_1267 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP103(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP104(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1267])])).
% 59.37/10.03  tff(f38424,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP103(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP104(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28765])).
% 59.37/10.03  tff(f70606,plain,(
% 59.37/10.03    spl2737_1266 | ~spl2737_84 | ~spl2737_905),
% 59.37/10.03    inference(avatar_split_clause,[],[f69059,f68677,f64639,f70603])).
% 59.37/10.03  tff(f70603,plain,(
% 59.37/10.03    spl2737_1266 <=> sP62(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1266])])).
% 59.37/10.03  tff(f69059,plain,(
% 59.37/10.03    sP62(rat) | (~spl2737_84 | ~spl2737_905)),
% 59.37/10.03    inference(resolution,[],[f68678,f64641])).
% 59.37/10.03  tff(f70601,plain,(
% 59.37/10.03    spl2737_1265),
% 59.37/10.03    inference(avatar_split_clause,[],[f37128,f70599])).
% 59.37/10.03  tff(f70599,plain,(
% 59.37/10.03    spl2737_1265 <=> ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP21(X0,X1) | ~sP22(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1265])])).
% 59.37/10.03  tff(f37128,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP21(X0,X1) | ~sP22(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28279])).
% 59.37/10.03  tff(f28279,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : ((real_V358717886546972837endent(X0,X1) | ~sP21(X0,X1)) & (sP21(X0,X1) | ~real_V358717886546972837endent(X0,X1))) | ~sP22(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27124])).
% 59.37/10.03  tff(f27124,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> sP21(X0,X1)) | ~sP22(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])])).
% 59.37/10.03  tff(f70597,plain,(
% 59.37/10.03    spl2737_1264),
% 59.37/10.03    inference(avatar_split_clause,[],[f37127,f70595])).
% 59.37/10.03  tff(f70595,plain,(
% 59.37/10.03    spl2737_1264 <=> ! [X0 : $tType,X1 : set(X0)] : (sP21(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP22(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1264])])).
% 59.37/10.03  tff(f37127,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (sP21(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP22(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28279])).
% 59.37/10.03  tff(f70593,plain,(
% 59.37/10.03    spl2737_1263),
% 59.37/10.03    inference(avatar_split_clause,[],[f37119,f70591])).
% 59.37/10.03  tff(f70591,plain,(
% 59.37/10.03    spl2737_1263 <=> ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP19(X0,X1) | ~sP20(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1263])])).
% 59.37/10.03  tff(f37119,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP19(X0,X1) | ~sP20(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28272])).
% 59.37/10.03  tff(f28272,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : ((real_V358717886546972837endent(X0,X1) | ~sP19(X0,X1)) & (sP19(X0,X1) | ~real_V358717886546972837endent(X0,X1))) | ~sP20(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27121])).
% 59.37/10.03  tff(f27121,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> sP19(X0,X1)) | ~sP20(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])])).
% 59.37/10.03  tff(f70589,plain,(
% 59.37/10.03    spl2737_1262),
% 59.37/10.03    inference(avatar_split_clause,[],[f37118,f70587])).
% 59.37/10.03  tff(f70587,plain,(
% 59.37/10.03    spl2737_1262 <=> ! [X0 : $tType,X1 : set(X0)] : (sP19(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP20(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1262])])).
% 59.37/10.03  tff(f37118,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (sP19(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP20(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28272])).
% 59.37/10.03  tff(f70585,plain,(
% 59.37/10.03    spl2737_1261),
% 59.37/10.03    inference(avatar_split_clause,[],[f37107,f70583])).
% 59.37/10.03  tff(f70583,plain,(
% 59.37/10.03    spl2737_1261 <=> ! [X0 : $tType,X1 : set(X0)] : (real_Vector_subspace(X0,X1) | ~sP17(X0,X1) | ~sP18(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1261])])).
% 59.37/10.03  tff(f37107,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (real_Vector_subspace(X0,X1) | ~sP17(X0,X1) | ~sP18(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28261])).
% 59.37/10.03  tff(f28261,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : ((real_Vector_subspace(X0,X1) | ~sP17(X0,X1)) & (sP17(X0,X1) | ~real_Vector_subspace(X0,X1))) | ~sP18(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27118])).
% 59.37/10.03  tff(f27118,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : (real_Vector_subspace(X0,X1) <=> sP17(X0,X1)) | ~sP18(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])])).
% 59.37/10.03  tff(f70581,plain,(
% 59.37/10.03    spl2737_1260),
% 59.37/10.03    inference(avatar_split_clause,[],[f37106,f70579])).
% 59.37/10.03  tff(f70579,plain,(
% 59.37/10.03    spl2737_1260 <=> ! [X0 : $tType,X1 : set(X0)] : (sP17(X0,X1) | ~real_Vector_subspace(X0,X1) | ~sP18(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1260])])).
% 59.37/10.03  tff(f37106,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (sP17(X0,X1) | ~real_Vector_subspace(X0,X1) | ~sP18(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28261])).
% 59.37/10.03  tff(f70577,plain,(
% 59.37/10.03    spl2737_1259),
% 59.37/10.03    inference(avatar_split_clause,[],[f37098,f70575])).
% 59.37/10.03  tff(f70575,plain,(
% 59.37/10.03    spl2737_1259 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP14(X0,X1) | ~sP15(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1259])])).
% 59.37/10.03  tff(f37098,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP14(X0,X1) | ~sP15(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28256])).
% 59.37/10.03  tff(f28256,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : ((~real_V358717886546972837endent(X0,X1) | ~sP14(X0,X1)) & (sP14(X0,X1) | real_V358717886546972837endent(X0,X1))) | ~sP15(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27114])).
% 59.37/10.03  tff(f27114,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> sP14(X0,X1)) | ~sP15(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])])).
% 59.37/10.03  tff(f70573,plain,(
% 59.37/10.03    spl2737_1258),
% 59.37/10.03    inference(avatar_split_clause,[],[f37097,f70571])).
% 59.37/10.03  tff(f70571,plain,(
% 59.37/10.03    spl2737_1258 <=> ! [X0 : $tType,X1 : set(X0)] : (sP14(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP15(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1258])])).
% 59.37/10.03  tff(f37097,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (sP14(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP15(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28256])).
% 59.37/10.03  tff(f70569,plain,(
% 59.37/10.03    spl2737_1257),
% 59.37/10.03    inference(avatar_split_clause,[],[f37089,f70567])).
% 59.37/10.03  tff(f70567,plain,(
% 59.37/10.03    spl2737_1257 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP12(X0,X1) | ~sP13(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1257])])).
% 59.37/10.03  tff(f37089,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP12(X0,X1) | ~sP13(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28249])).
% 59.37/10.03  tff(f28249,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : ((~real_V358717886546972837endent(X0,X1) | ~sP12(X0,X1)) & (sP12(X0,X1) | real_V358717886546972837endent(X0,X1))) | ~sP13(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27111])).
% 59.37/10.03  tff(f27111,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> sP12(X0,X1)) | ~sP13(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])])).
% 59.37/10.03  tff(f70565,plain,(
% 59.37/10.03    spl2737_1256),
% 59.37/10.03    inference(avatar_split_clause,[],[f37088,f70563])).
% 59.37/10.03  tff(f70563,plain,(
% 59.37/10.03    spl2737_1256 <=> ! [X0 : $tType,X1 : set(X0)] : (sP12(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP13(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1256])])).
% 59.37/10.03  tff(f37088,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (sP12(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP13(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28249])).
% 59.37/10.03  tff(f70561,plain,(
% 59.37/10.03    spl2737_1255 | ~spl2737_85 | ~spl2737_904),
% 59.37/10.03    inference(avatar_split_clause,[],[f69058,f68673,f64644,f70558])).
% 59.37/10.03  tff(f70558,plain,(
% 59.37/10.03    spl2737_1255 <=> sP59(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1255])])).
% 59.37/10.03  tff(f68673,plain,(
% 59.37/10.03    spl2737_904 <=> ! [X0 : $tType] : (sP59(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_904])])).
% 59.37/10.03  tff(f69058,plain,(
% 59.37/10.03    sP59(real) | (~spl2737_85 | ~spl2737_904)),
% 59.37/10.03    inference(resolution,[],[f68674,f64646])).
% 59.37/10.03  tff(f68674,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP59(X0)) ) | ~spl2737_904),
% 59.37/10.03    inference(avatar_component_clause,[],[f68673])).
% 59.37/10.03  tff(f70556,plain,(
% 59.37/10.03    spl2737_1254),
% 59.37/10.03    inference(avatar_split_clause,[],[f37081,f70554])).
% 59.37/10.03  tff(f70554,plain,(
% 59.37/10.03    spl2737_1254 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP10(X0,X1) | ~sP11(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1254])])).
% 59.37/10.03  tff(f37081,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP10(X0,X1) | ~sP11(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28243])).
% 59.37/10.03  tff(f28243,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : ((~real_V358717886546972837endent(X0,X1) | ~sP10(X0,X1)) & (sP10(X0,X1) | real_V358717886546972837endent(X0,X1))) | ~sP11(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27108])).
% 59.37/10.03  tff(f27108,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> sP10(X0,X1)) | ~sP11(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])])).
% 59.37/10.03  tff(f70552,plain,(
% 59.37/10.03    spl2737_1253),
% 59.37/10.03    inference(avatar_split_clause,[],[f37080,f70550])).
% 59.37/10.03  tff(f70550,plain,(
% 59.37/10.03    spl2737_1253 <=> ! [X0 : $tType,X1 : set(X0)] : (sP10(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP11(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1253])])).
% 59.37/10.03  tff(f37080,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : set(X0)] : (sP10(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP11(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28243])).
% 59.37/10.03  tff(f70548,plain,(
% 59.37/10.03    spl2737_1252),
% 59.37/10.03    inference(avatar_split_clause,[],[f36556,f70546])).
% 59.37/10.03  tff(f70546,plain,(
% 59.37/10.03    spl2737_1252 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP5(X0,X1) | ~sP6(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1252])])).
% 59.37/10.03  tff(f36556,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP5(X0,X1) | ~sP6(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28008])).
% 59.37/10.03  tff(f28008,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP5(X0,X1)) & (sP5(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP6(X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27100])).
% 59.37/10.03  tff(f27100,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP5(X0,X1)) | ~sP6(X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])).
% 59.37/10.03  tff(f70544,plain,(
% 59.37/10.03    spl2737_1251),
% 59.37/10.03    inference(avatar_split_clause,[],[f36555,f70542])).
% 59.37/10.03  tff(f70542,plain,(
% 59.37/10.03    spl2737_1251 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP5(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP6(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1251])])).
% 59.37/10.03  tff(f36555,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP5(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP6(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28008])).
% 59.37/10.03  tff(f70540,plain,(
% 59.37/10.03    spl2737_1250),
% 59.37/10.03    inference(avatar_split_clause,[],[f36398,f70538])).
% 59.37/10.03  tff(f70538,plain,(
% 59.37/10.03    spl2737_1250 <=> ! [X0 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK567(X0)) = X0 | ~sP0(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1250])])).
% 59.37/10.03  tff(f36398,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK567(X0)) = X0 | ~sP0(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f27950])).
% 59.37/10.03  tff(f70536,plain,(
% 59.37/10.03    spl2737_1249),
% 59.37/10.03    inference(avatar_split_clause,[],[f36396,f70534])).
% 59.37/10.03  tff(f70534,plain,(
% 59.37/10.03    spl2737_1249 <=> ! [X0 : bool] : (~pp(X0) | ~pp(aa(bool,bool,fNot,X0)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1249])])).
% 59.37/10.03  tff(f36396,plain,(
% 59.37/10.03    ( ! [X0 : bool] : (~pp(X0) | ~pp(aa(bool,bool,fNot,X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f10518])).
% 59.37/10.03  tff(f10518,plain,(
% 59.37/10.03    ! [X0 : bool] : (~pp(X0) | ~pp(aa(bool,bool,fNot,X0)))),
% 59.37/10.03    inference(rectify,[],[f9877])).
% 59.37/10.03  tff(f9877,axiom,(
% 59.37/10.03    ! [X17 : bool] : (~pp(X17) | ~pp(aa(bool,bool,fNot,X17)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_1_1_U)).
% 59.37/10.03  tff(f70532,plain,(
% 59.37/10.03    spl2737_1248),
% 59.37/10.03    inference(avatar_split_clause,[],[f36394,f70530])).
% 59.37/10.03  tff(f70530,plain,(
% 59.37/10.03    spl2737_1248 <=> ! [X0 : bool] : (pp(aa(bool,bool,fNot,X0)) | pp(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1248])])).
% 59.37/10.03  tff(f36394,plain,(
% 59.37/10.03    ( ! [X0 : bool] : (pp(aa(bool,bool,fNot,X0)) | pp(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f10516])).
% 59.37/10.03  tff(f10516,plain,(
% 59.37/10.03    ! [X0 : bool] : (pp(aa(bool,bool,fNot,X0)) | pp(X0))),
% 59.37/10.03    inference(rectify,[],[f9876])).
% 59.37/10.03  tff(f9876,axiom,(
% 59.37/10.03    ! [X17 : bool] : (pp(aa(bool,bool,fNot,X17)) | pp(X17))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fNot_2_1_U)).
% 59.37/10.03  tff(f70528,plain,(
% 59.37/10.03    spl2737_1247),
% 59.37/10.03    inference(avatar_split_clause,[],[f35808,f70526])).
% 59.37/10.03  tff(f70526,plain,(
% 59.37/10.03    spl2737_1247 <=> ! [X0 : nat] : algebr8660921524188924756oprime(nat,aa(nat,nat,suc,X0),X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1247])])).
% 59.37/10.03  tff(f35808,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,aa(nat,nat,suc,X0),X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9978])).
% 59.37/10.03  tff(f9978,plain,(
% 59.37/10.03    ! [X0 : nat] : algebr8660921524188924756oprime(nat,aa(nat,nat,suc,X0),X0)),
% 59.37/10.03    inference(rectify,[],[f6857])).
% 59.37/10.03  tff(f6857,axiom,(
% 59.37/10.03    ! [X8 : nat] : algebr8660921524188924756oprime(nat,aa(nat,nat,suc,X8),X8)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6856_coprime__Suc__left__nat)).
% 59.37/10.03  tff(f70524,plain,(
% 59.37/10.03    spl2737_1246),
% 59.37/10.03    inference(avatar_split_clause,[],[f35807,f70522])).
% 59.37/10.03  tff(f70522,plain,(
% 59.37/10.03    spl2737_1246 <=> ! [X0 : nat] : algebr8660921524188924756oprime(nat,X0,aa(nat,nat,suc,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1246])])).
% 59.37/10.03  tff(f35807,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,X0,aa(nat,nat,suc,X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9977])).
% 59.37/10.03  tff(f9977,plain,(
% 59.37/10.03    ! [X0 : nat] : algebr8660921524188924756oprime(nat,X0,aa(nat,nat,suc,X0))),
% 59.37/10.03    inference(rectify,[],[f6858])).
% 59.37/10.03  tff(f6858,axiom,(
% 59.37/10.03    ! [X8 : nat] : algebr8660921524188924756oprime(nat,X8,aa(nat,nat,suc,X8))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6857_coprime__Suc__right__nat)).
% 59.37/10.03  tff(f70520,plain,(
% 59.37/10.03    spl2737_1245),
% 59.37/10.03    inference(avatar_split_clause,[],[f35441,f70517])).
% 59.37/10.03  tff(f70517,plain,(
% 59.37/10.03    spl2737_1245 <=> filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1245])])).
% 59.37/10.03  tff(f35441,plain,(
% 59.37/10.03    filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f6023])).
% 59.37/10.03  tff(f6023,axiom,(
% 59.37/10.03    filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6022_filterlim__Suc)).
% 59.37/10.03  tff(f70515,plain,(
% 59.37/10.03    spl2737_1244 | ~spl2737_84 | ~spl2737_904),
% 59.37/10.03    inference(avatar_split_clause,[],[f69057,f68673,f64639,f70512])).
% 59.37/10.03  tff(f70512,plain,(
% 59.37/10.03    spl2737_1244 <=> sP59(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1244])])).
% 59.37/10.03  tff(f69057,plain,(
% 59.37/10.03    sP59(rat) | (~spl2737_84 | ~spl2737_904)),
% 59.37/10.03    inference(resolution,[],[f68674,f64641])).
% 59.37/10.03  tff(f70510,plain,(
% 59.37/10.03    spl2737_1243),
% 59.37/10.03    inference(avatar_split_clause,[],[f35440,f70507])).
% 59.37/10.03  tff(f70507,plain,(
% 59.37/10.03    spl2737_1243 <=> filterlim(int,nat,nat2,at_top(nat),at_top(int))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1243])])).
% 59.37/10.03  tff(f35440,plain,(
% 59.37/10.03    filterlim(int,nat,nat2,at_top(nat),at_top(int))),
% 59.37/10.03    inference(cnf_transformation,[],[f6035])).
% 59.37/10.03  tff(f6035,axiom,(
% 59.37/10.03    filterlim(int,nat,nat2,at_top(nat),at_top(int))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6034_filterlim__nat__sequentially)).
% 59.37/10.03  tff(f70505,plain,(
% 59.37/10.03    spl2737_1242),
% 59.37/10.03    inference(avatar_split_clause,[],[f35438,f70502])).
% 59.37/10.03  tff(f70502,plain,(
% 59.37/10.03    spl2737_1242 <=> one_one(nat) = aa(num,nat,nat_of_num,one2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1242])])).
% 59.37/10.03  tff(f35438,plain,(
% 59.37/10.03    one_one(nat) = aa(num,nat,nat_of_num,one2)),
% 59.37/10.03    inference(cnf_transformation,[],[f7785])).
% 59.37/10.03  tff(f7785,axiom,(
% 59.37/10.03    one_one(nat) = aa(num,nat,nat_of_num,one2)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7784_nat__of__num__code_I1_J)).
% 59.37/10.03  tff(f70500,plain,(
% 59.37/10.03    spl2737_1241),
% 59.37/10.03    inference(avatar_split_clause,[],[f35437,f70497])).
% 59.37/10.03  tff(f70497,plain,(
% 59.37/10.03    spl2737_1241 <=> one_one(nat) = gcd_Lcm(nat,bot_bot(set(nat)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1241])])).
% 59.37/10.03  tff(f35437,plain,(
% 59.37/10.03    one_one(nat) = gcd_Lcm(nat,bot_bot(set(nat)))),
% 59.37/10.03    inference(cnf_transformation,[],[f7509])).
% 59.37/10.03  tff(f7509,axiom,(
% 59.37/10.03    one_one(nat) = gcd_Lcm(nat,bot_bot(set(nat)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7508_Lcm__nat__empty)).
% 59.37/10.03  tff(f70495,plain,(
% 59.37/10.03    spl2737_1240),
% 59.37/10.03    inference(avatar_split_clause,[],[f35436,f70492])).
% 59.37/10.03  tff(f70492,plain,(
% 59.37/10.03    spl2737_1240 <=> one_one(int) = aa(num,int,pos,one2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1240])])).
% 59.37/10.03  tff(f35436,plain,(
% 59.37/10.03    one_one(int) = aa(num,int,pos,one2)),
% 59.37/10.03    inference(cnf_transformation,[],[f8022])).
% 59.37/10.03  tff(f8022,axiom,(
% 59.37/10.03    one_one(int) = aa(num,int,pos,one2)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8021_one__int__code)).
% 59.37/10.03  tff(f70488,plain,(
% 59.37/10.03    spl2737_1239 | ~spl2737_85 | ~spl2737_903),
% 59.37/10.03    inference(avatar_split_clause,[],[f69056,f68669,f64644,f70485])).
% 59.37/10.03  tff(f70485,plain,(
% 59.37/10.03    spl2737_1239 <=> sP56(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1239])])).
% 59.37/10.03  tff(f68669,plain,(
% 59.37/10.03    spl2737_903 <=> ! [X0 : $tType] : (sP56(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_903])])).
% 59.37/10.03  tff(f69056,plain,(
% 59.37/10.03    sP56(real) | (~spl2737_85 | ~spl2737_903)),
% 59.37/10.03    inference(resolution,[],[f68670,f64646])).
% 59.37/10.03  tff(f68670,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP56(X0)) ) | ~spl2737_903),
% 59.37/10.03    inference(avatar_component_clause,[],[f68669])).
% 59.37/10.03  tff(f70479,plain,(
% 59.37/10.03    spl2737_1238 | ~spl2737_84 | ~spl2737_903),
% 59.37/10.03    inference(avatar_split_clause,[],[f69055,f68669,f64639,f70476])).
% 59.37/10.03  tff(f70476,plain,(
% 59.37/10.03    spl2737_1238 <=> sP56(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1238])])).
% 59.37/10.03  tff(f69055,plain,(
% 59.37/10.03    sP56(rat) | (~spl2737_84 | ~spl2737_903)),
% 59.37/10.03    inference(resolution,[],[f68670,f64641])).
% 59.37/10.03  tff(f70462,plain,(
% 59.37/10.03    spl2737_1237 | ~spl2737_85 | ~spl2737_902),
% 59.37/10.03    inference(avatar_split_clause,[],[f69054,f68665,f64644,f70459])).
% 59.37/10.03  tff(f70459,plain,(
% 59.37/10.03    spl2737_1237 <=> sP53(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1237])])).
% 59.37/10.03  tff(f68665,plain,(
% 59.37/10.03    spl2737_902 <=> ! [X0 : $tType] : (sP53(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_902])])).
% 59.37/10.03  tff(f69054,plain,(
% 59.37/10.03    sP53(real) | (~spl2737_85 | ~spl2737_902)),
% 59.37/10.03    inference(resolution,[],[f68666,f64646])).
% 59.37/10.03  tff(f68666,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP53(X0)) ) | ~spl2737_902),
% 59.37/10.03    inference(avatar_component_clause,[],[f68665])).
% 59.37/10.03  tff(f70456,plain,(
% 59.37/10.03    spl2737_1236 | ~spl2737_84 | ~spl2737_902),
% 59.37/10.03    inference(avatar_split_clause,[],[f69053,f68665,f64639,f70453])).
% 59.37/10.03  tff(f70453,plain,(
% 59.37/10.03    spl2737_1236 <=> sP53(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1236])])).
% 59.37/10.03  tff(f69053,plain,(
% 59.37/10.03    sP53(rat) | (~spl2737_84 | ~spl2737_902)),
% 59.37/10.03    inference(resolution,[],[f68666,f64641])).
% 59.37/10.03  tff(f70442,plain,(
% 59.37/10.03    spl2737_1235 | ~spl2737_85 | ~spl2737_901),
% 59.37/10.03    inference(avatar_split_clause,[],[f69052,f68661,f64644,f70439])).
% 59.37/10.03  tff(f70439,plain,(
% 59.37/10.03    spl2737_1235 <=> sP50(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1235])])).
% 59.37/10.03  tff(f68661,plain,(
% 59.37/10.03    spl2737_901 <=> ! [X0 : $tType] : (sP50(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_901])])).
% 59.37/10.03  tff(f69052,plain,(
% 59.37/10.03    sP50(real) | (~spl2737_85 | ~spl2737_901)),
% 59.37/10.03    inference(resolution,[],[f68662,f64646])).
% 59.37/10.03  tff(f68662,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP50(X0)) ) | ~spl2737_901),
% 59.37/10.03    inference(avatar_component_clause,[],[f68661])).
% 59.37/10.03  tff(f70436,plain,(
% 59.37/10.03    spl2737_1234),
% 59.37/10.03    inference(avatar_split_clause,[],[f58971,f70434])).
% 59.37/10.03  tff(f70434,plain,(
% 59.37/10.03    spl2737_1234 <=> ! [X0 : list(nat),X1 : nat] : (size_num(one2) = X1 | ~sP312(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1234])])).
% 59.37/10.03  tff(f58971,plain,(
% 59.37/10.03    ( ! [X0 : list(nat),X1 : nat] : (size_num(one2) = X1 | ~sP312(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f45233,f35397])).
% 59.37/10.03  tff(f45233,plain,(
% 59.37/10.03    ( ! [X0 : list(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP312(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31447])).
% 59.37/10.03  tff(f70432,plain,(
% 59.37/10.03    spl2737_1233),
% 59.37/10.03    inference(avatar_split_clause,[],[f58927,f70430])).
% 59.37/10.03  tff(f70430,plain,(
% 59.37/10.03    spl2737_1233 <=> ! [X0 : nat,X1 : list(nat)] : (size_num(one2) = X0 | ~sP311(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1233])])).
% 59.37/10.03  tff(f58927,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : list(nat)] : (size_num(one2) = X0 | ~sP311(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f45200,f35397])).
% 59.37/10.03  tff(f45200,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : list(nat)] : (zero_zero(nat) = X0 | ~sP311(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31419])).
% 59.37/10.03  tff(f70428,plain,(
% 59.37/10.03    spl2737_1232),
% 59.37/10.03    inference(avatar_split_clause,[],[f58740,f70426])).
% 59.37/10.03  tff(f70426,plain,(
% 59.37/10.03    spl2737_1232 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP291(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1232])])).
% 59.37/10.03  tff(f58740,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP291(X0,X1)) )),
% 59.37/10.03    inference(forward_demodulation,[],[f45051,f35397])).
% 59.37/10.03  tff(f45051,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP291(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31301])).
% 59.37/10.03  tff(f70424,plain,(
% 59.37/10.03    spl2737_1231),
% 59.37/10.03    inference(avatar_split_clause,[],[f57199,f70421])).
% 59.37/10.03  tff(f70421,plain,(
% 59.37/10.03    spl2737_1231 <=> im(imaginary_unit) = exp(real,zero_zero(real))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1231])])).
% 59.37/10.03  tff(f57199,plain,(
% 59.37/10.03    im(imaginary_unit) = exp(real,zero_zero(real))),
% 59.37/10.03    inference(forward_demodulation,[],[f53093,f35393])).
% 59.37/10.03  tff(f53093,plain,(
% 59.37/10.03    one_one(real) = exp(real,zero_zero(real))),
% 59.37/10.03    inference(equality_resolution,[],[f43318])).
% 59.37/10.03  tff(f43318,plain,(
% 59.37/10.03    ( ! [X0 : real] : (one_one(real) = exp(real,X0) | zero_zero(real) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30581])).
% 59.37/10.03  tff(f70419,plain,(
% 59.37/10.03    spl2737_1230),
% 59.37/10.03    inference(avatar_split_clause,[],[f54253,f70417])).
% 59.37/10.03  tff(f70417,plain,(
% 59.37/10.03    spl2737_1230 <=> ! [X0 : nat] : divide_divide(nat,X0,one_one(nat)) = X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1230])])).
% 59.37/10.03  tff(f54253,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (divide_divide(nat,X0,one_one(nat)) = X0) )),
% 59.37/10.03    inference(forward_demodulation,[],[f54252,f54053])).
% 59.37/10.03  tff(f54252,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(nat,nat,suc,size_num(one2))) = X0) )),
% 59.37/10.03    inference(forward_demodulation,[],[f35846,f35397])).
% 59.37/10.03  tff(f35846,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (divide_divide(nat,X0,aa(nat,nat,suc,zero_zero(nat))) = X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f10015])).
% 59.37/10.03  tff(f10015,plain,(
% 59.37/10.03    ! [X0 : nat] : divide_divide(nat,X0,aa(nat,nat,suc,zero_zero(nat))) = X0),
% 59.37/10.03    inference(rectify,[],[f1309])).
% 59.37/10.03  tff(f1309,axiom,(
% 59.37/10.03    ! [X9 : nat] : divide_divide(nat,X9,aa(nat,nat,suc,zero_zero(nat))) = X9),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1308_div__by__Suc__0)).
% 59.37/10.03  tff(f70415,plain,(
% 59.37/10.03    spl2737_1229),
% 59.37/10.03    inference(avatar_split_clause,[],[f54064,f70412])).
% 59.37/10.03  tff(f70412,plain,(
% 59.37/10.03    spl2737_1229 <=> vEBT_vebt_buildup(size_num(one2)) = vEBT_vebt_buildup(one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1229])])).
% 59.37/10.03  tff(f54064,plain,(
% 59.37/10.03    vEBT_vebt_buildup(size_num(one2)) = vEBT_vebt_buildup(one_one(nat))),
% 59.37/10.03    inference(forward_demodulation,[],[f54063,f54029])).
% 59.37/10.03  tff(f54063,plain,(
% 59.37/10.03    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(one_one(nat))),
% 59.37/10.03    inference(forward_demodulation,[],[f54062,f54053])).
% 59.37/10.03  tff(f54062,plain,(
% 59.37/10.03    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,size_num(one2)))),
% 59.37/10.03    inference(forward_demodulation,[],[f35492,f35397])).
% 59.37/10.03  tff(f35492,plain,(
% 59.37/10.03    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.03    inference(cnf_transformation,[],[f424])).
% 59.37/10.03  tff(f424,axiom,(
% 59.37/10.03    vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_423_vebt__buildup_Osimps_I2_J)).
% 59.37/10.03  tff(f70410,plain,(
% 59.37/10.03    spl2737_1228 | ~spl2737_84 | ~spl2737_901),
% 59.37/10.03    inference(avatar_split_clause,[],[f69051,f68661,f64639,f70407])).
% 59.37/10.03  tff(f70407,plain,(
% 59.37/10.03    spl2737_1228 <=> sP50(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1228])])).
% 59.37/10.03  tff(f69051,plain,(
% 59.37/10.03    sP50(rat) | (~spl2737_84 | ~spl2737_901)),
% 59.37/10.03    inference(resolution,[],[f68662,f64641])).
% 59.37/10.03  tff(f70405,plain,(
% 59.37/10.03    spl2737_1227),
% 59.37/10.03    inference(avatar_split_clause,[],[f54030,f70402])).
% 59.37/10.03  tff(f70402,plain,(
% 59.37/10.03    spl2737_1227 <=> sums(real,aTP_Lamp_da(nat,real),im(imaginary_unit))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1227])])).
% 59.37/10.03  tff(f54030,plain,(
% 59.37/10.03    sums(real,aTP_Lamp_da(nat,real),im(imaginary_unit))),
% 59.37/10.03    inference(forward_demodulation,[],[f35433,f35393])).
% 59.37/10.03  tff(f35433,plain,(
% 59.37/10.03    sums(real,aTP_Lamp_da(nat,real),one_one(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f3776])).
% 59.37/10.03  tff(f3776,axiom,(
% 59.37/10.03    sums(real,aTP_Lamp_da(nat,real),one_one(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3775_power__half__series)).
% 59.37/10.03  tff(f70400,plain,(
% 59.37/10.03    spl2737_1226),
% 59.37/10.03    inference(avatar_split_clause,[],[f54029,f70397])).
% 59.37/10.03  tff(f70397,plain,(
% 59.37/10.03    spl2737_1226 <=> vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1226])])).
% 59.37/10.03  tff(f70395,plain,(
% 59.37/10.03    spl2737_1225),
% 59.37/10.03    inference(avatar_split_clause,[],[f54028,f70392])).
% 59.37/10.03  tff(f70392,plain,(
% 59.37/10.03    spl2737_1225 <=> size_num(one2) = unit_f5069060285200089521factor(nat,size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1225])])).
% 59.37/10.03  tff(f54028,plain,(
% 59.37/10.03    size_num(one2) = unit_f5069060285200089521factor(nat,size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35431,f35397])).
% 59.37/10.03  tff(f35431,plain,(
% 59.37/10.03    zero_zero(nat) = unit_f5069060285200089521factor(nat,zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7713])).
% 59.37/10.03  tff(f7713,axiom,(
% 59.37/10.03    zero_zero(nat) = unit_f5069060285200089521factor(nat,zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7712_unit__factor__simps_I1_J)).
% 59.37/10.03  tff(f70390,plain,(
% 59.37/10.03    spl2737_1224),
% 59.37/10.03    inference(avatar_split_clause,[],[f54027,f70387])).
% 59.37/10.03  tff(f70387,plain,(
% 59.37/10.03    spl2737_1224 <=> imaginary_unit = complex2(zero_zero(real),im(imaginary_unit))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1224])])).
% 59.37/10.03  tff(f54027,plain,(
% 59.37/10.03    imaginary_unit = complex2(zero_zero(real),im(imaginary_unit))),
% 59.37/10.03    inference(forward_demodulation,[],[f35429,f35393])).
% 59.37/10.03  tff(f35429,plain,(
% 59.37/10.03    imaginary_unit = complex2(zero_zero(real),one_one(real))),
% 59.37/10.03    inference(cnf_transformation,[],[f3317])).
% 59.37/10.03  tff(f3317,axiom,(
% 59.37/10.03    imaginary_unit = complex2(zero_zero(real),one_one(real))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3316_imaginary__unit_Ocode)).
% 59.37/10.03  tff(f70385,plain,(
% 59.37/10.03    spl2737_1223),
% 59.37/10.03    inference(avatar_split_clause,[],[f53572,f70383])).
% 59.37/10.03  tff(f70383,plain,(
% 59.37/10.03    spl2737_1223 <=> ! [X2 : nat,X0 : nat,X3 : bool] : (pp(X3) | ~sP426(X0,X2,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1223])])).
% 59.37/10.03  tff(f53572,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : bool,X0 : nat] : (pp(X3) | ~sP426(X0,X2,X2,X3)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48166])).
% 59.37/10.03  tff(f48166,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : bool,X0 : nat,X1 : nat] : (pp(X3) | X1 != X2 | ~sP426(X0,X1,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32987])).
% 59.37/10.03  tff(f70381,plain,(
% 59.37/10.03    spl2737_1222),
% 59.37/10.03    inference(avatar_split_clause,[],[f53571,f70379])).
% 59.37/10.03  tff(f70379,plain,(
% 59.37/10.03    spl2737_1222 <=> ! [X2 : nat,X1 : nat,X3 : bool] : (pp(X3) | ~sP426(X1,X1,X2,X3))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1222])])).
% 59.37/10.03  tff(f53571,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : bool,X1 : nat] : (pp(X3) | ~sP426(X1,X1,X2,X3)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48167])).
% 59.37/10.03  tff(f48167,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : bool,X0 : nat,X1 : nat] : (pp(X3) | X0 != X1 | ~sP426(X0,X1,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32987])).
% 59.37/10.03  tff(f70377,plain,(
% 59.37/10.03    spl2737_1221),
% 59.37/10.03    inference(avatar_split_clause,[],[f53566,f70375])).
% 59.37/10.03  tff(f70375,plain,(
% 59.37/10.03    spl2737_1221 <=> ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP425(one_one(nat),X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1221])])).
% 59.37/10.03  tff(f53566,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP425(one_one(nat),X1,X2)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48123])).
% 59.37/10.03  tff(f48123,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (one_one(nat) != X0 | pp(X1) | ~sP425(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32945])).
% 59.37/10.03  tff(f70373,plain,(
% 59.37/10.03    spl2737_1220),
% 59.37/10.03    inference(avatar_split_clause,[],[f53563,f70371])).
% 59.37/10.03  tff(f70371,plain,(
% 59.37/10.03    spl2737_1220 <=> ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP421(one_one(nat),X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1220])])).
% 59.37/10.03  tff(f53563,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP421(one_one(nat),X1,X2)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48109])).
% 59.37/10.03  tff(f48109,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | ~sP421(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32932])).
% 59.37/10.03  tff(f70369,plain,(
% 59.37/10.03    spl2737_1219),
% 59.37/10.03    inference(avatar_split_clause,[],[f53334,f70367])).
% 59.37/10.03  tff(f70367,plain,(
% 59.37/10.03    spl2737_1219 <=> ! [X1 : int] : sP354(aa(int,nat,nat2,X1),X1)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1219])])).
% 59.37/10.03  tff(f53334,plain,(
% 59.37/10.03    ( ! [X1 : int] : (sP354(aa(int,nat,nat2,X1),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f46403])).
% 59.37/10.03  tff(f46403,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : int] : (sP354(X0,X1) | aa(int,nat,nat2,X1) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32053])).
% 59.37/10.03  tff(f70365,plain,(
% 59.37/10.03    spl2737_1218),
% 59.37/10.03    inference(avatar_split_clause,[],[f53329,f70363])).
% 59.37/10.03  tff(f70363,plain,(
% 59.37/10.03    spl2737_1218 <=> ! [X0 : int] : sP353(aa(int,nat,nat2,X0),X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1218])])).
% 59.37/10.03  tff(f53329,plain,(
% 59.37/10.03    ( ! [X0 : int] : (sP353(aa(int,nat,nat2,X0),X0)) )),
% 59.37/10.03    inference(equality_resolution,[],[f46395])).
% 59.37/10.03  tff(f46395,plain,(
% 59.37/10.03    ( ! [X0 : int,X1 : nat] : (sP353(X1,X0) | aa(int,nat,nat2,X0) != X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32050])).
% 59.37/10.03  tff(f70361,plain,(
% 59.37/10.03    spl2737_1217 | ~spl2737_85 | ~spl2737_900),
% 59.37/10.03    inference(avatar_split_clause,[],[f69050,f68657,f64644,f70358])).
% 59.37/10.03  tff(f70358,plain,(
% 59.37/10.03    spl2737_1217 <=> sP48(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1217])])).
% 59.37/10.03  tff(f68657,plain,(
% 59.37/10.03    spl2737_900 <=> ! [X0 : $tType] : (sP48(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_900])])).
% 59.37/10.03  tff(f69050,plain,(
% 59.37/10.03    sP48(real) | (~spl2737_85 | ~spl2737_900)),
% 59.37/10.03    inference(resolution,[],[f68658,f64646])).
% 59.37/10.03  tff(f68658,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP48(X0)) ) | ~spl2737_900),
% 59.37/10.03    inference(avatar_component_clause,[],[f68657])).
% 59.37/10.03  tff(f70356,plain,(
% 59.37/10.03    spl2737_1216),
% 59.37/10.03    inference(avatar_split_clause,[],[f53131,f70354])).
% 59.37/10.03  tff(f70354,plain,(
% 59.37/10.03    spl2737_1216 <=> ! [X1 : int] : modulo_modulo(int,X1,zero_zero(int)) = X1),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1216])])).
% 59.37/10.03  tff(f53131,plain,(
% 59.37/10.03    ( ! [X1 : int] : (modulo_modulo(int,X1,zero_zero(int)) = X1) )),
% 59.37/10.03    inference(equality_resolution,[],[f44065])).
% 59.37/10.03  tff(f44065,plain,(
% 59.37/10.03    ( ! [X0 : int,X1 : int] : (modulo_modulo(int,X1,X0) = X1 | zero_zero(int) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23749])).
% 59.37/10.03  tff(f23749,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : ((((modulo_modulo(int,X1,X0) = 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(bool,int,zero_neq_one_of_bool(int),aa(bool,bool,fNot,aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)))))) | aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1)) & (modulo_modulo(int,X1,X0) = 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),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0))))) | aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1))) | zero_zero(int) = X0) & (modulo_modulo(int,X1,X0) = X1 | zero_zero(int) != X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f15238])).
% 59.37/10.03  tff(f15238,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : ((zero_zero(int) != X0 => ((aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1) => modulo_modulo(int,X1,X0) = 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(bool,int,zero_neq_one_of_bool(int),aa(bool,bool,fNot,aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X0),X1))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0))))))) & (aa(int,int,sgn_sgn(int),X0) = aa(int,int,sgn_sgn(int),X1) => modulo_modulo(int,X1,X0) = 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),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X1)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X0)))))))) & (zero_zero(int) = X0 => modulo_modulo(int,X1,X0) = X1))),
% 59.37/10.03    inference(rectify,[],[f3238])).
% 59.37/10.03  tff(f3238,axiom,(
% 59.37/10.03    ! [X51 : int,X18 : int] : ((zero_zero(int) != X51 => ((aa(int,int,sgn_sgn(int),X51) != aa(int,int,sgn_sgn(int),X18) => modulo_modulo(int,X18,X51) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X51)),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),X51)),aa(bool,int,zero_neq_one_of_bool(int),aa(bool,bool,fNot,aa(int,bool,aa(int,fun(int,bool),dvd_dvd(int),X51),X18))))),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X18)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X51))))))) & (aa(int,int,sgn_sgn(int),X51) = aa(int,int,sgn_sgn(int),X18) => modulo_modulo(int,X18,X51) = aa(int,int,aa(int,fun(int,int),times_times(int),aa(int,int,sgn_sgn(int),X51)),aa(nat,int,semiring_1_of_nat(int),modulo_modulo(nat,aa(int,nat,nat2,aa(int,int,abs_abs(int),X18)),aa(int,nat,nat2,aa(int,int,abs_abs(int),X51)))))))) & (zero_zero(int) = X51 => modulo_modulo(int,X18,X51) = X18))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3237_modulo__int__def)).
% 59.37/10.03  tff(f70352,plain,(
% 59.37/10.03    spl2737_1215),
% 59.37/10.03    inference(avatar_split_clause,[],[f53130,f70350])).
% 59.37/10.03  tff(f70350,plain,(
% 59.37/10.03    spl2737_1215 <=> ! [X1 : int] : zero_zero(int) = adjust_mod(X1,zero_zero(int))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1215])])).
% 59.37/10.03  tff(f53130,plain,(
% 59.37/10.03    ( ! [X1 : int] : (zero_zero(int) = adjust_mod(X1,zero_zero(int))) )),
% 59.37/10.03    inference(equality_resolution,[],[f44063])).
% 59.37/10.03  tff(f44063,plain,(
% 59.37/10.03    ( ! [X0 : int,X1 : int] : (zero_zero(int) = adjust_mod(X1,X0) | zero_zero(int) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23748])).
% 59.37/10.03  tff(f23748,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : ((aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = adjust_mod(X1,X0) | zero_zero(int) = X0) & (zero_zero(int) = adjust_mod(X1,X0) | zero_zero(int) != X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f15237])).
% 59.37/10.03  tff(f15237,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : ((zero_zero(int) != X0 => aa(int,int,aa(int,fun(int,int),minus_minus(int),X1),X0) = adjust_mod(X1,X0)) & (zero_zero(int) = X0 => zero_zero(int) = adjust_mod(X1,X0)))),
% 59.37/10.03    inference(rectify,[],[f6575])).
% 59.37/10.03  tff(f6575,axiom,(
% 59.37/10.03    ! [X116 : int,X51 : int] : ((zero_zero(int) != X116 => adjust_mod(X51,X116) = aa(int,int,aa(int,fun(int,int),minus_minus(int),X51),X116)) & (zero_zero(int) = X116 => zero_zero(int) = adjust_mod(X51,X116)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6574_Divides_Oadjust__mod__def)).
% 59.37/10.03  tff(f70348,plain,(
% 59.37/10.03    spl2737_1214),
% 59.37/10.03    inference(avatar_split_clause,[],[f52725,f70346])).
% 59.37/10.03  tff(f70346,plain,(
% 59.37/10.03    spl2737_1214 <=> ! [X1 : $tType,X3 : X1] : sP119(X1,zero_zero(X1),zero_zero(X1),X3)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1214])])).
% 59.37/10.03  tff(f52725,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X3 : X1] : (sP119(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 59.37/10.03    inference(equality_resolution,[],[f52724])).
% 59.37/10.03  tff(f52724,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (sP119(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(equality_resolution,[],[f38995])).
% 59.37/10.03  tff(f38995,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (sP119(X1,X0,X2,X3) | zero_zero(X1) != X0 | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28926])).
% 59.37/10.03  tff(f70344,plain,(
% 59.37/10.03    spl2737_1213),
% 59.37/10.03    inference(avatar_split_clause,[],[f52719,f70342])).
% 59.37/10.03  tff(f70342,plain,(
% 59.37/10.03    spl2737_1213 <=> ! [X1 : $tType,X3 : X1] : sP117(X1,zero_zero(X1),zero_zero(X1),X3)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1213])])).
% 59.37/10.03  tff(f52719,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X3 : X1] : (sP117(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 59.37/10.03    inference(equality_resolution,[],[f52718])).
% 59.37/10.03  tff(f52718,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (sP117(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(equality_resolution,[],[f38986])).
% 59.37/10.03  tff(f38986,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (sP117(X1,X0,X2,X3) | zero_zero(X1) != X0 | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28922])).
% 59.37/10.03  tff(f70340,plain,(
% 59.37/10.03    spl2737_1212),
% 59.37/10.03    inference(avatar_split_clause,[],[f52692,f70338])).
% 59.37/10.03  tff(f70338,plain,(
% 59.37/10.03    spl2737_1212 <=> ! [X1 : $tType,X3 : X1] : sP107(X1,zero_zero(X1),zero_zero(X1),X3)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1212])])).
% 59.37/10.03  tff(f52692,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X3 : X1] : (sP107(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 59.37/10.03    inference(equality_resolution,[],[f52691])).
% 59.37/10.03  tff(f52691,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (sP107(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(equality_resolution,[],[f38941])).
% 59.37/10.03  tff(f38941,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (sP107(X1,X0,X2,X3) | zero_zero(X1) != X0 | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28902])).
% 59.37/10.03  tff(f70336,plain,(
% 59.37/10.03    spl2737_1211),
% 59.37/10.03    inference(avatar_split_clause,[],[f52684,f70334])).
% 59.37/10.03  tff(f70334,plain,(
% 59.37/10.03    spl2737_1211 <=> ! [X1 : $tType,X3 : X1] : sP105(X1,zero_zero(X1),zero_zero(X1),X3)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1211])])).
% 59.37/10.03  tff(f52684,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X3 : X1] : (sP105(X1,zero_zero(X1),zero_zero(X1),X3)) )),
% 59.37/10.03    inference(equality_resolution,[],[f52683])).
% 59.37/10.03  tff(f52683,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (sP105(X1,zero_zero(X1),X2,X3) | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(equality_resolution,[],[f38932])).
% 59.37/10.03  tff(f38932,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (sP105(X1,X0,X2,X3) | zero_zero(X1) != X0 | zero_zero(X1) != X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28898])).
% 59.37/10.03  tff(f70332,plain,(
% 59.37/10.03    spl2737_1210),
% 59.37/10.03    inference(avatar_split_clause,[],[f50450,f70330])).
% 59.37/10.03  tff(f70330,plain,(
% 59.37/10.03    spl2737_1210 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP564(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1210])])).
% 59.37/10.03  tff(f50450,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP564(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34514])).
% 59.37/10.03  tff(f70328,plain,(
% 59.37/10.03    spl2737_1209),
% 59.37/10.03    inference(avatar_split_clause,[],[f50435,f70326])).
% 59.37/10.03  tff(f70326,plain,(
% 59.37/10.03    spl2737_1209 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP560(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1209])])).
% 59.37/10.03  tff(f50435,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP560(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34493])).
% 59.37/10.03  tff(f70324,plain,(
% 59.37/10.03    spl2737_1208),
% 59.37/10.03    inference(avatar_split_clause,[],[f47433,f70322])).
% 59.37/10.03  tff(f70322,plain,(
% 59.37/10.03    spl2737_1208 <=> ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (semigroup(X0,X1) | ~monoid(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1208])])).
% 59.37/10.03  tff(f47433,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,fun(X0,X0))] : (semigroup(X0,X1) | ~monoid(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f25626])).
% 59.37/10.03  tff(f25626,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (semigroup(X0,X1) | ~monoid(X0,X1,X2))),
% 59.37/10.03    inference(ennf_transformation,[],[f17013])).
% 59.37/10.03  tff(f17013,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : fun(X0,fun(X0,X0)),X2 : X0] : (monoid(X0,X1,X2) => semigroup(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f8063])).
% 59.37/10.03  tff(f8063,axiom,(
% 59.37/10.03    ! [X0 : $tType,X32 : fun(X0,fun(X0,X0)),X60 : X0] : (monoid(X0,X32,X60) => semigroup(X0,X32))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8062_monoid_Oaxioms_I1_J)).
% 59.37/10.03  tff(f70320,plain,(
% 59.37/10.03    spl2737_1207),
% 59.37/10.03    inference(avatar_split_clause,[],[f47074,f70318])).
% 59.37/10.03  tff(f70318,plain,(
% 59.37/10.03    spl2737_1207 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : if(X0,fTrue,X1,X2) = X1),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1207])])).
% 59.37/10.03  tff(f47074,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (if(X0,fTrue,X1,X2) = X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f16731])).
% 59.37/10.03  tff(f16731,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0,X2 : X0] : if(X0,fTrue,X1,X2) = X1),
% 59.37/10.03    inference(rectify,[],[f9873])).
% 59.37/10.03  tff(f9873,axiom,(
% 59.37/10.03    ! [X0 : $tType,X14 : X0,X15 : X0] : if(X0,fTrue,X14,X15) = X14),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_T)).
% 59.37/10.03  tff(f70316,plain,(
% 59.37/10.03    spl2737_1206 | ~spl2737_84 | ~spl2737_900),
% 59.37/10.03    inference(avatar_split_clause,[],[f69049,f68657,f64639,f70313])).
% 59.37/10.03  tff(f70313,plain,(
% 59.37/10.03    spl2737_1206 <=> sP48(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1206])])).
% 59.37/10.03  tff(f69049,plain,(
% 59.37/10.03    sP48(rat) | (~spl2737_84 | ~spl2737_900)),
% 59.37/10.03    inference(resolution,[],[f68658,f64641])).
% 59.37/10.03  tff(f70311,plain,(
% 59.37/10.03    spl2737_1205),
% 59.37/10.03    inference(avatar_split_clause,[],[f47073,f70309])).
% 59.37/10.03  tff(f70309,plain,(
% 59.37/10.03    spl2737_1205 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : if(X0,fFalse,X1,X2) = X2),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1205])])).
% 59.37/10.03  tff(f47073,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : X0,X1 : X0] : (if(X0,fFalse,X1,X2) = X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f16730])).
% 59.37/10.03  tff(f16730,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : X0,X2 : X0] : if(X0,fFalse,X1,X2) = X2),
% 59.37/10.03    inference(rectify,[],[f9872])).
% 59.37/10.03  tff(f9872,axiom,(
% 59.37/10.03    ! [X0 : $tType,X14 : X0,X15 : X0] : if(X0,fFalse,X14,X15) = X15),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_T)).
% 59.37/10.03  tff(f70307,plain,(
% 59.37/10.03    spl2737_1204),
% 59.37/10.03    inference(avatar_split_clause,[],[f46294,f70305])).
% 59.37/10.03  tff(f70305,plain,(
% 59.37/10.03    spl2737_1204 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP339(X0,X1,X2) | X1 = X2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1204])])).
% 59.37/10.03  tff(f46294,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP339(X0,X1,X2) | X1 = X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31975])).
% 59.37/10.03  tff(f70303,plain,(
% 59.37/10.03    spl2737_1203),
% 59.37/10.03    inference(avatar_split_clause,[],[f46274,f70301])).
% 59.37/10.03  tff(f70301,plain,(
% 59.37/10.03    spl2737_1203 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP343(X0,X1,X2) | X1 = X2)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1203])])).
% 59.37/10.03  tff(f46274,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP343(X0,X1,X2) | X1 = X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31953])).
% 59.37/10.03  tff(f70299,plain,(
% 59.37/10.03    spl2737_1202),
% 59.37/10.03    inference(avatar_split_clause,[],[f46139,f70297])).
% 59.37/10.03  tff(f70297,plain,(
% 59.37/10.03    spl2737_1202 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~vEBT_VEBT_minNull(X1) | ~sP331(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1202])])).
% 59.37/10.03  tff(f46139,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~vEBT_VEBT_minNull(X1) | ~sP331(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31825])).
% 59.37/10.03  tff(f31825,plain,(
% 59.37/10.03    ! [X0 : bool,X1 : vEBT_VEBT] : (((~pp(X0) | ~vEBT_VEBT_minNull(X1)) & (pp(X0) | vEBT_VEBT_minNull(X1))) | ~sP331(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31824])).
% 59.37/10.03  tff(f31824,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : (((~pp(X1) | ~vEBT_VEBT_minNull(X0)) & (pp(X1) | vEBT_VEBT_minNull(X0))) | ~sP331(X1,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27590])).
% 59.37/10.03  tff(f27590,plain,(
% 59.37/10.03    ! [X1 : bool,X0 : vEBT_VEBT] : ((vEBT_VEBT_minNull(X0) <~> pp(X1)) | ~sP331(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP331])])).
% 59.37/10.03  tff(f70295,plain,(
% 59.37/10.03    spl2737_1201),
% 59.37/10.03    inference(avatar_split_clause,[],[f46138,f70293])).
% 59.37/10.03  tff(f70293,plain,(
% 59.37/10.03    spl2737_1201 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | vEBT_VEBT_minNull(X1) | ~sP331(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1201])])).
% 59.37/10.03  tff(f46138,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | vEBT_VEBT_minNull(X1) | ~sP331(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31825])).
% 59.37/10.03  tff(f70291,plain,(
% 59.37/10.03    spl2737_1200),
% 59.37/10.03    inference(avatar_split_clause,[],[f46077,f70289])).
% 59.37/10.03  tff(f70289,plain,(
% 59.37/10.03    spl2737_1200 <=> ! [X1 : $tType,X0 : $tType] : (sP325(X1,X0) | ~ord(X0) | ~ord(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1200])])).
% 59.37/10.03  tff(f46077,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (sP325(X1,X0) | ~ord(X0) | ~ord(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f27583])).
% 59.37/10.03  tff(f27583,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (sP325(X1,X0) | ~ord(X0) | ~ord(X1))),
% 59.37/10.03    inference(definition_folding,[],[f25437,f27582,f27581])).
% 59.37/10.03  tff(f27581,plain,(
% 59.37/10.03    ! [X2 : fun(X1,X0),X0 : $tType,X1 : $tType,X3 : set(X1)] : (sP324(X0,X1,X2,X3) <=> ! [X4 : X1,X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X4),X5)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X3)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X3))))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP324])])).
% 59.37/10.03  tff(f25437,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> ! [X4 : X1,X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X4),X5)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X3)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X3)))) | ~ord(X0) | ~ord(X1))),
% 59.37/10.03    inference(flattening,[],[f25436])).
% 59.37/10.03  tff(f25436,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> ! [X4 : X1,X5 : X1] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))) | (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X4),X5)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X3)) | ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X3))))) | (~ord(X0) | ~ord(X1)))),
% 59.37/10.03    inference(ennf_transformation,[],[f16394])).
% 59.37/10.03  tff(f16394,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : ((ord(X0) & ord(X1)) => ! [X2 : fun(X1,X0),X3 : set(X1)] : (strict_mono_on(X1,X0,X2,X3) <=> ! [X4 : X1,X5 : X1] : ((pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X4),X5)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X5),X3)) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X4),X3))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X1,X0,X2,X4)),aa(X1,X0,X2,X5))))))),
% 59.37/10.03    inference(rectify,[],[f4548])).
% 59.37/10.03  tff(f4548,axiom,(
% 59.37/10.03    ! [X1 : $tType,X0 : $tType] : ((ord(X1) & ord(X0)) => ! [X32 : fun(X0,X1),X30 : set(X0)] : (strict_mono_on(X0,X1,X32,X30) <=> ! [X205 : X0,X234 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X205),X234)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X234),X30)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X205),X30))) => pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),aa(X0,X1,X32,X205)),aa(X0,X1,X32,X234))))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4547_strict__mono__on__def)).
% 59.37/10.03  tff(f70287,plain,(
% 59.37/10.03    spl2737_1199),
% 59.37/10.03    inference(avatar_split_clause,[],[f45886,f70285])).
% 59.37/10.03  tff(f70285,plain,(
% 59.37/10.03    spl2737_1199 <=> ! [X1 : $tType,X0 : $tType] : (sP317(X1,X0) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1199])])).
% 59.37/10.03  tff(f45886,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (sP317(X1,X0) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f27571])).
% 59.37/10.03  tff(f27571,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (sP317(X1,X0) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.03    inference(definition_folding,[],[f25209,f27570,f27569])).
% 59.37/10.03  tff(f27569,plain,(
% 59.37/10.03    ! [X3 : X0,X2 : fun(X1,X0),X0 : $tType,X1 : $tType,X4 : X1] : (sP316(X0,X1,X3,X2,X4) <=> ! [X5 : real] : (? [X6 : real] : (! [X7 : X1] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) | X4 = X7) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X5))))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP316])])).
% 59.37/10.03  tff(f27570,plain,(
% 59.37/10.03    ! [X1 : $tType,X0 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> sP316(X0,X1,X3,X2,X4)) | ~sP317(X1,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP317])])).
% 59.37/10.03  tff(f25209,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> ! [X5 : real] : (? [X6 : real] : (! [X7 : X1] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) | X4 = X7) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X5)))) | ~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1))),
% 59.37/10.03    inference(flattening,[],[f25208])).
% 59.37/10.03  tff(f25208,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> ! [X5 : real] : (? [X6 : real] : (! [X7 : X1] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5)) | (~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) | X4 = X7)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X5)))) | (~real_V822414075346904944vector(X0) | ~real_V822414075346904944vector(X1)))),
% 59.37/10.03    inference(ennf_transformation,[],[f16276])).
% 59.37/10.03  tff(f16276,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : ((real_V822414075346904944vector(X0) & real_V822414075346904944vector(X1)) => ! [X2 : fun(X1,X0),X3 : X0,X4 : X1] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),topolo174197925503356063within(X1,X4,top_top(set(X1)))) <=> ! [X5 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X5)) => ? [X6 : real] : (! [X7 : X1] : ((pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),X7),X4))),X6)) & X4 != X7) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(X1,X0,X2,X7)),X3))),X5))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X6))))))),
% 59.37/10.03    inference(rectify,[],[f5876])).
% 59.37/10.03  tff(f5876,axiom,(
% 59.37/10.03    ! [X1 : $tType,X0 : $tType] : ((real_V822414075346904944vector(X1) & real_V822414075346904944vector(X0)) => ! [X32 : fun(X0,X1),X279 : X1,X7 : X0] : (filterlim(X0,X1,X32,topolo7230453075368039082e_nhds(X1,X279),topolo174197925503356063within(X0,X7,top_top(set(X0)))) <=> ! [X205 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X205)) => ? [X234 : real] : (! [X115 : X0] : ((pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X115),X7))),X234)) & X7 != X115) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X1,aa(X1,X1,aa(X1,fun(X1,X1),minus_minus(X1),aa(X0,X1,X32,X115)),X279))),X205))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X234))))))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5875_LIM__eq)).
% 59.37/10.03  tff(f70283,plain,(
% 59.37/10.03    spl2737_1198),
% 59.37/10.03    inference(avatar_split_clause,[],[f45156,f70281])).
% 59.37/10.03  tff(f70281,plain,(
% 59.37/10.03    spl2737_1198 <=> ! [X0 : fun(int,bool)] : (zero_zero(int) != sK1662(X0) | ~sP304(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1198])])).
% 59.37/10.03  tff(f45156,plain,(
% 59.37/10.03    ( ! [X0 : fun(int,bool)] : (zero_zero(int) != sK1662(X0) | ~sP304(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31378])).
% 59.37/10.03  tff(f70279,plain,(
% 59.37/10.03    spl2737_1197),
% 59.37/10.03    inference(avatar_split_clause,[],[f43525,f70277])).
% 59.37/10.03  tff(f70277,plain,(
% 59.37/10.03    spl2737_1197 <=> ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less(nat),upt(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1197])])).
% 59.37/10.03  tff(f43525,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : nat] : (sorted_wrt(nat,ord_less(nat),upt(X0,X1))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14708])).
% 59.37/10.03  tff(f14708,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less(nat),upt(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f5252])).
% 59.37/10.03  tff(f5252,axiom,(
% 59.37/10.03    ! [X9 : nat,X8 : nat] : sorted_wrt(nat,ord_less(nat),upt(X9,X8))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5251_sorted__wrt__upt)).
% 59.37/10.03  tff(f70275,plain,(
% 59.37/10.03    spl2737_1196),
% 59.37/10.03    inference(avatar_split_clause,[],[f43524,f70273])).
% 59.37/10.03  tff(f70273,plain,(
% 59.37/10.03    spl2737_1196 <=> ! [X0 : int,X1 : int] : sorted_wrt(int,ord_less(int),upto(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1196])])).
% 59.37/10.03  tff(f43524,plain,(
% 59.37/10.03    ( ! [X0 : int,X1 : int] : (sorted_wrt(int,ord_less(int),upto(X0,X1))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f14707])).
% 59.37/10.03  tff(f14707,plain,(
% 59.37/10.03    ! [X0 : int,X1 : int] : sorted_wrt(int,ord_less(int),upto(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f5523])).
% 59.37/10.03  tff(f5523,axiom,(
% 59.37/10.03    ! [X23 : int,X24 : int] : sorted_wrt(int,ord_less(int),upto(X23,X24))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5522_sorted__wrt__upto)).
% 59.37/10.03  tff(f70271,plain,(
% 59.37/10.03    spl2737_1195 | ~spl2737_85 | ~spl2737_899),
% 59.37/10.03    inference(avatar_split_clause,[],[f69048,f68653,f64644,f70268])).
% 59.37/10.03  tff(f70268,plain,(
% 59.37/10.03    spl2737_1195 <=> sP46(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1195])])).
% 59.37/10.03  tff(f68653,plain,(
% 59.37/10.03    spl2737_899 <=> ! [X0 : $tType] : (sP46(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_899])])).
% 59.37/10.03  tff(f69048,plain,(
% 59.37/10.03    sP46(real) | (~spl2737_85 | ~spl2737_899)),
% 59.37/10.03    inference(resolution,[],[f68654,f64646])).
% 59.37/10.03  tff(f68654,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP46(X0)) ) | ~spl2737_899),
% 59.37/10.03    inference(avatar_component_clause,[],[f68653])).
% 59.37/10.03  tff(f70266,plain,(
% 59.37/10.03    spl2737_1194),
% 59.37/10.03    inference(avatar_split_clause,[],[f41329,f70264])).
% 59.37/10.03  tff(f70264,plain,(
% 59.37/10.03    spl2737_1194 <=> ! [X0 : $tType] : (zero_zero(X0) != one_one(X0) | ~zero_neq_one(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1194])])).
% 59.37/10.03  tff(f41329,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (zero_zero(X0) != one_one(X0) | ~zero_neq_one(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f21828])).
% 59.37/10.03  tff(f21828,plain,(
% 59.37/10.03    ! [X0 : $tType] : (zero_zero(X0) != one_one(X0) | ~zero_neq_one(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f387])).
% 59.37/10.03  tff(f387,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (zero_neq_one(X0) => zero_zero(X0) != one_one(X0))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_386_zero__neq__one)).
% 59.37/10.03  tff(f70262,plain,(
% 59.37/10.03    spl2737_1193),
% 59.37/10.03    inference(avatar_split_clause,[],[f39720,f70260])).
% 59.37/10.03  tff(f70260,plain,(
% 59.37/10.03    spl2737_1193 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,one_one(X0),X1) | ~algebraic_semidom(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1193])])).
% 59.37/10.03  tff(f39720,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,one_one(X0),X1) | ~algebraic_semidom(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20587])).
% 59.37/10.03  tff(f20587,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : algebr8660921524188924756oprime(X0,one_one(X0),X1) | ~algebraic_semidom(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f12332])).
% 59.37/10.03  tff(f12332,plain,(
% 59.37/10.03    ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0] : algebr8660921524188924756oprime(X0,one_one(X0),X1))),
% 59.37/10.03    inference(rectify,[],[f6836])).
% 59.37/10.03  tff(f6836,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X7 : X0] : algebr8660921524188924756oprime(X0,one_one(X0),X7))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6835_coprime__1__left)).
% 59.37/10.03  tff(f70258,plain,(
% 59.37/10.03    spl2737_1192),
% 59.37/10.03    inference(avatar_split_clause,[],[f39719,f70256])).
% 59.37/10.03  tff(f70256,plain,(
% 59.37/10.03    spl2737_1192 <=> ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1192])])).
% 59.37/10.03  tff(f39719,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : X0] : (algebr8660921524188924756oprime(X0,X1,one_one(X0)) | ~algebraic_semidom(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f20586])).
% 59.37/10.03  tff(f20586,plain,(
% 59.37/10.03    ! [X0 : $tType] : (! [X1 : X0] : algebr8660921524188924756oprime(X0,X1,one_one(X0)) | ~algebraic_semidom(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f12331])).
% 59.37/10.03  tff(f12331,plain,(
% 59.37/10.03    ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X1 : X0] : algebr8660921524188924756oprime(X0,X1,one_one(X0)))),
% 59.37/10.03    inference(rectify,[],[f6837])).
% 59.37/10.03  tff(f6837,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (algebraic_semidom(X0) => ! [X7 : X0] : algebr8660921524188924756oprime(X0,X7,one_one(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6836_coprime__1__right)).
% 59.37/10.03  tff(f70254,plain,(
% 59.37/10.03    spl2737_1191),
% 59.37/10.03    inference(avatar_split_clause,[],[f37051,f70252])).
% 59.37/10.03  tff(f70252,plain,(
% 59.37/10.03    spl2737_1191 <=> ! [X0 : $tType] : (real_Vector_linear(X0,X0,uminus_uminus(X0)) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1191])])).
% 59.37/10.03  tff(f37051,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (real_Vector_linear(X0,X0,uminus_uminus(X0)) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18898])).
% 59.37/10.03  tff(f18898,plain,(
% 59.37/10.03    ! [X0 : $tType] : (real_Vector_linear(X0,X0,uminus_uminus(X0)) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.03    inference(ennf_transformation,[],[f7336])).
% 59.37/10.03  tff(f7336,axiom,(
% 59.37/10.03    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => real_Vector_linear(X0,X0,uminus_uminus(X0)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7335_module__hom__uminus)).
% 59.37/10.03  tff(f70250,plain,(
% 59.37/10.03    spl2737_1190),
% 59.37/10.03    inference(avatar_split_clause,[],[f35793,f70248])).
% 59.37/10.03  tff(f70248,plain,(
% 59.37/10.03    spl2737_1190 <=> ! [X0 : set(product_prod(nat,nat))] : inj_on(product_prod(nat,nat),nat,nat_prod_encode,X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1190])])).
% 59.37/10.03  tff(f35793,plain,(
% 59.37/10.03    ( ! [X0 : set(product_prod(nat,nat))] : (inj_on(product_prod(nat,nat),nat,nat_prod_encode,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9963])).
% 59.37/10.03  tff(f9963,plain,(
% 59.37/10.03    ! [X0 : set(product_prod(nat,nat))] : inj_on(product_prod(nat,nat),nat,nat_prod_encode,X0)),
% 59.37/10.03    inference(rectify,[],[f6203])).
% 59.37/10.03  tff(f6203,axiom,(
% 59.37/10.03    ! [X30 : set(product_prod(nat,nat))] : inj_on(product_prod(nat,nat),nat,nat_prod_encode,X30)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6202_inj__prod__encode)).
% 59.37/10.03  tff(f70246,plain,(
% 59.37/10.03    spl2737_1189),
% 59.37/10.03    inference(avatar_split_clause,[],[f35792,f70244])).
% 59.37/10.03  tff(f70244,plain,(
% 59.37/10.03    spl2737_1189 <=> ! [X0 : set(sum_sum(nat,nat))] : inj_on(sum_sum(nat,nat),nat,nat_sum_encode,X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1189])])).
% 59.37/10.03  tff(f35792,plain,(
% 59.37/10.03    ( ! [X0 : set(sum_sum(nat,nat))] : (inj_on(sum_sum(nat,nat),nat,nat_sum_encode,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9962])).
% 59.37/10.03  tff(f9962,plain,(
% 59.37/10.03    ! [X0 : set(sum_sum(nat,nat))] : inj_on(sum_sum(nat,nat),nat,nat_sum_encode,X0)),
% 59.37/10.03    inference(rectify,[],[f8073])).
% 59.37/10.03  tff(f8073,axiom,(
% 59.37/10.03    ! [X30 : set(sum_sum(nat,nat))] : inj_on(sum_sum(nat,nat),nat,nat_sum_encode,X30)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8072_inj__sum__encode)).
% 59.37/10.03  tff(f70242,plain,(
% 59.37/10.03    spl2737_1188),
% 59.37/10.03    inference(avatar_split_clause,[],[f35791,f70240])).
% 59.37/10.03  tff(f70240,plain,(
% 59.37/10.03    spl2737_1188 <=> ! [X0 : set(nat)] : inj_on(nat,product_prod(nat,nat),nat_prod_decode,X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1188])])).
% 59.37/10.03  tff(f35791,plain,(
% 59.37/10.03    ( ! [X0 : set(nat)] : (inj_on(nat,product_prod(nat,nat),nat_prod_decode,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9961])).
% 59.37/10.03  tff(f9961,plain,(
% 59.37/10.03    ! [X0 : set(nat)] : inj_on(nat,product_prod(nat,nat),nat_prod_decode,X0)),
% 59.37/10.03    inference(rectify,[],[f7117])).
% 59.37/10.03  tff(f7117,axiom,(
% 59.37/10.03    ! [X30 : set(nat)] : inj_on(nat,product_prod(nat,nat),nat_prod_decode,X30)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7116_inj__prod__decode)).
% 59.37/10.03  tff(f70238,plain,(
% 59.37/10.03    spl2737_1187),
% 59.37/10.03    inference(avatar_split_clause,[],[f35790,f70236])).
% 59.37/10.03  tff(f70236,plain,(
% 59.37/10.03    spl2737_1187 <=> ! [X0 : set(nat)] : inj_on(nat,sum_sum(nat,nat),nat_sum_decode,X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1187])])).
% 59.37/10.03  tff(f35790,plain,(
% 59.37/10.03    ( ! [X0 : set(nat)] : (inj_on(nat,sum_sum(nat,nat),nat_sum_decode,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9960])).
% 59.37/10.03  tff(f9960,plain,(
% 59.37/10.03    ! [X0 : set(nat)] : inj_on(nat,sum_sum(nat,nat),nat_sum_decode,X0)),
% 59.37/10.03    inference(rectify,[],[f8094])).
% 59.37/10.03  tff(f8094,axiom,(
% 59.37/10.03    ! [X30 : set(nat)] : inj_on(nat,sum_sum(nat,nat),nat_sum_decode,X30)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8093_inj__sum__decode)).
% 59.37/10.03  tff(f70234,plain,(
% 59.37/10.03    spl2737_1186),
% 59.37/10.03    inference(avatar_split_clause,[],[f35789,f70232])).
% 59.37/10.03  tff(f70232,plain,(
% 59.37/10.03    spl2737_1186 <=> ! [X0 : rat] : cauchy(aTP_Lamp_mt(rat,fun(nat,rat),X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1186])])).
% 59.37/10.03  tff(f35789,plain,(
% 59.37/10.03    ( ! [X0 : rat] : (cauchy(aTP_Lamp_mt(rat,fun(nat,rat),X0))) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9959])).
% 59.37/10.03  tff(f9959,plain,(
% 59.37/10.03    ! [X0 : rat] : cauchy(aTP_Lamp_mt(rat,fun(nat,rat),X0))),
% 59.37/10.03    inference(rectify,[],[f6399])).
% 59.37/10.03  tff(f6399,axiom,(
% 59.37/10.03    ! [X14 : rat] : cauchy(aTP_Lamp_mt(rat,fun(nat,rat),X14))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6398_cauchy__const)).
% 59.37/10.03  tff(f70230,plain,(
% 59.37/10.03    spl2737_1185),
% 59.37/10.03    inference(avatar_split_clause,[],[f35785,f70228])).
% 59.37/10.03  tff(f70228,plain,(
% 59.37/10.03    spl2737_1185 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) != X0),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1185])])).
% 59.37/10.03  tff(f35785,plain,(
% 59.37/10.03    ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9955])).
% 59.37/10.03  tff(f9955,plain,(
% 59.37/10.03    ! [X0 : nat] : aa(nat,nat,suc,X0) != X0),
% 59.37/10.03    inference(rectify,[],[f20])).
% 59.37/10.03  tff(f20,axiom,(
% 59.37/10.03    ! [X8 : nat] : aa(nat,nat,suc,X8) != X8),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_n__not__Suc__n)).
% 59.37/10.03  tff(f70226,plain,(
% 59.37/10.03    spl2737_1184 | ~spl2737_84 | ~spl2737_899),
% 59.37/10.03    inference(avatar_split_clause,[],[f69047,f68653,f64639,f70223])).
% 59.37/10.03  tff(f70223,plain,(
% 59.37/10.03    spl2737_1184 <=> sP46(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1184])])).
% 59.37/10.03  tff(f69047,plain,(
% 59.37/10.03    sP46(rat) | (~spl2737_84 | ~spl2737_899)),
% 59.37/10.03    inference(resolution,[],[f68654,f64641])).
% 59.37/10.03  tff(f70221,plain,(
% 59.37/10.03    spl2737_1183),
% 59.37/10.03    inference(avatar_split_clause,[],[f35784,f70219])).
% 59.37/10.03  tff(f70219,plain,(
% 59.37/10.03    spl2737_1183 <=> ! [X0 : num] : one2 != aa(num,num,bit1,X0)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1183])])).
% 59.37/10.03  tff(f35784,plain,(
% 59.37/10.03    ( ! [X0 : num] : (one2 != aa(num,num,bit1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f9954])).
% 59.37/10.03  tff(f9954,plain,(
% 59.37/10.03    ! [X0 : num] : one2 != aa(num,num,bit1,X0)),
% 59.37/10.03    inference(rectify,[],[f2567])).
% 59.37/10.03  tff(f2567,axiom,(
% 59.37/10.03    ! [X165 : num] : one2 != aa(num,num,bit1,X165)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2566_verit__eq__simplify_I12_J)).
% 59.37/10.03  tff(f70217,plain,(
% 59.37/10.03    spl2737_1182),
% 59.37/10.03    inference(avatar_split_clause,[],[f35430,f70214])).
% 59.37/10.03  tff(f70214,plain,(
% 59.37/10.03    spl2737_1182 <=> semiring_1_of_nat(nat) = id(nat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1182])])).
% 59.37/10.03  tff(f35430,plain,(
% 59.37/10.03    semiring_1_of_nat(nat) = id(nat)),
% 59.37/10.03    inference(cnf_transformation,[],[f5018])).
% 59.37/10.03  tff(f5018,axiom,(
% 59.37/10.03    semiring_1_of_nat(nat) = id(nat)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5017_of__nat__eq__id)).
% 59.37/10.03  tff(f70212,plain,(
% 59.37/10.03    spl2737_1181),
% 59.37/10.03    inference(avatar_split_clause,[],[f35428,f70209])).
% 59.37/10.03  tff(f70209,plain,(
% 59.37/10.03    spl2737_1181 <=> m = aa(nat,nat,suc,na)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1181])])).
% 59.37/10.03  tff(f35428,plain,(
% 59.37/10.03    m = aa(nat,nat,suc,na)),
% 59.37/10.03    inference(cnf_transformation,[],[f5])).
% 59.37/10.03  tff(f5,axiom,(
% 59.37/10.03    m = aa(nat,nat,suc,na)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__C3_Ohyps_C_I3_J)).
% 59.37/10.03  tff(f70207,plain,(
% 59.37/10.03    ~spl2737_1180),
% 59.37/10.03    inference(avatar_split_clause,[],[f35427,f70204])).
% 59.37/10.03  tff(f70204,plain,(
% 59.37/10.03    spl2737_1180 <=> pp(aa(real,bool,positive2,zero_zero(real)))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1180])])).
% 59.37/10.03  tff(f35427,plain,(
% 59.37/10.03    ~pp(aa(real,bool,positive2,zero_zero(real)))),
% 59.37/10.03    inference(cnf_transformation,[],[f6423])).
% 59.37/10.03  tff(f6423,axiom,(
% 59.37/10.03    ~pp(aa(real,bool,positive2,zero_zero(real)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6422_Real_Opositive__zero)).
% 59.37/10.03  tff(f70201,plain,(
% 59.37/10.03    spl2737_1179 | ~spl2737_85 | ~spl2737_898),
% 59.37/10.03    inference(avatar_split_clause,[],[f69041,f68649,f64644,f70198])).
% 59.37/10.03  tff(f70198,plain,(
% 59.37/10.03    spl2737_1179 <=> sP44(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1179])])).
% 59.37/10.03  tff(f68649,plain,(
% 59.37/10.03    spl2737_898 <=> ! [X0 : $tType] : (sP44(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_898])])).
% 59.37/10.03  tff(f69041,plain,(
% 59.37/10.03    sP44(real) | (~spl2737_85 | ~spl2737_898)),
% 59.37/10.03    inference(resolution,[],[f68650,f64646])).
% 59.37/10.03  tff(f68650,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP44(X0)) ) | ~spl2737_898),
% 59.37/10.03    inference(avatar_component_clause,[],[f68649])).
% 59.37/10.03  tff(f70195,plain,(
% 59.37/10.03    spl2737_1178 | ~spl2737_84 | ~spl2737_898),
% 59.37/10.03    inference(avatar_split_clause,[],[f69040,f68649,f64639,f70192])).
% 59.37/10.03  tff(f70192,plain,(
% 59.37/10.03    spl2737_1178 <=> sP44(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1178])])).
% 59.37/10.03  tff(f69040,plain,(
% 59.37/10.03    sP44(rat) | (~spl2737_84 | ~spl2737_898)),
% 59.37/10.03    inference(resolution,[],[f68650,f64641])).
% 59.37/10.03  tff(f70186,plain,(
% 59.37/10.03    spl2737_1177 | ~spl2737_85 | ~spl2737_897),
% 59.37/10.03    inference(avatar_split_clause,[],[f69039,f68645,f64644,f70183])).
% 59.37/10.03  tff(f70183,plain,(
% 59.37/10.03    spl2737_1177 <=> sP42(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1177])])).
% 59.37/10.03  tff(f68645,plain,(
% 59.37/10.03    spl2737_897 <=> ! [X0 : $tType] : (sP42(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_897])])).
% 59.37/10.03  tff(f69039,plain,(
% 59.37/10.03    sP42(real) | (~spl2737_85 | ~spl2737_897)),
% 59.37/10.03    inference(resolution,[],[f68646,f64646])).
% 59.37/10.03  tff(f68646,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP42(X0)) ) | ~spl2737_897),
% 59.37/10.03    inference(avatar_component_clause,[],[f68645])).
% 59.37/10.03  tff(f70180,plain,(
% 59.37/10.03    spl2737_1176 | ~spl2737_84 | ~spl2737_897),
% 59.37/10.03    inference(avatar_split_clause,[],[f69038,f68645,f64639,f70177])).
% 59.37/10.03  tff(f70177,plain,(
% 59.37/10.03    spl2737_1176 <=> sP42(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1176])])).
% 59.37/10.03  tff(f69038,plain,(
% 59.37/10.03    sP42(rat) | (~spl2737_84 | ~spl2737_897)),
% 59.37/10.03    inference(resolution,[],[f68646,f64641])).
% 59.37/10.03  tff(f70170,plain,(
% 59.37/10.03    spl2737_1175 | ~spl2737_85 | ~spl2737_896),
% 59.37/10.03    inference(avatar_split_clause,[],[f69037,f68641,f64644,f70167])).
% 59.37/10.03  tff(f70167,plain,(
% 59.37/10.03    spl2737_1175 <=> sP40(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1175])])).
% 59.37/10.03  tff(f68641,plain,(
% 59.37/10.03    spl2737_896 <=> ! [X0 : $tType] : (sP40(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_896])])).
% 59.37/10.03  tff(f69037,plain,(
% 59.37/10.03    sP40(real) | (~spl2737_85 | ~spl2737_896)),
% 59.37/10.03    inference(resolution,[],[f68642,f64646])).
% 59.37/10.03  tff(f68642,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP40(X0)) ) | ~spl2737_896),
% 59.37/10.03    inference(avatar_component_clause,[],[f68641])).
% 59.37/10.03  tff(f70165,plain,(
% 59.37/10.03    spl2737_1174 | ~spl2737_84 | ~spl2737_896),
% 59.37/10.03    inference(avatar_split_clause,[],[f69036,f68641,f64639,f70162])).
% 59.37/10.03  tff(f70162,plain,(
% 59.37/10.03    spl2737_1174 <=> sP40(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1174])])).
% 59.37/10.03  tff(f69036,plain,(
% 59.37/10.03    sP40(rat) | (~spl2737_84 | ~spl2737_896)),
% 59.37/10.03    inference(resolution,[],[f68642,f64641])).
% 59.37/10.03  tff(f70156,plain,(
% 59.37/10.03    spl2737_1173 | ~spl2737_85 | ~spl2737_895),
% 59.37/10.03    inference(avatar_split_clause,[],[f69035,f68637,f64644,f70153])).
% 59.37/10.03  tff(f70153,plain,(
% 59.37/10.03    spl2737_1173 <=> sP38(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1173])])).
% 59.37/10.03  tff(f68637,plain,(
% 59.37/10.03    spl2737_895 <=> ! [X0 : $tType] : (sP38(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_895])])).
% 59.37/10.03  tff(f69035,plain,(
% 59.37/10.03    sP38(real) | (~spl2737_85 | ~spl2737_895)),
% 59.37/10.03    inference(resolution,[],[f68638,f64646])).
% 59.37/10.03  tff(f68638,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP38(X0)) ) | ~spl2737_895),
% 59.37/10.03    inference(avatar_component_clause,[],[f68637])).
% 59.37/10.03  tff(f70143,plain,(
% 59.37/10.03    spl2737_1172 | ~spl2737_84 | ~spl2737_895),
% 59.37/10.03    inference(avatar_split_clause,[],[f69034,f68637,f64639,f70140])).
% 59.37/10.03  tff(f70140,plain,(
% 59.37/10.03    spl2737_1172 <=> sP38(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1172])])).
% 59.37/10.03  tff(f69034,plain,(
% 59.37/10.03    sP38(rat) | (~spl2737_84 | ~spl2737_895)),
% 59.37/10.03    inference(resolution,[],[f68638,f64641])).
% 59.37/10.03  tff(f70120,plain,(
% 59.37/10.03    spl2737_1171 | ~spl2737_85 | ~spl2737_894),
% 59.37/10.03    inference(avatar_split_clause,[],[f69033,f68633,f64644,f70117])).
% 59.37/10.03  tff(f70117,plain,(
% 59.37/10.03    spl2737_1171 <=> sP36(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1171])])).
% 59.37/10.03  tff(f68633,plain,(
% 59.37/10.03    spl2737_894 <=> ! [X0 : $tType] : (sP36(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_894])])).
% 59.37/10.03  tff(f69033,plain,(
% 59.37/10.03    sP36(real) | (~spl2737_85 | ~spl2737_894)),
% 59.37/10.03    inference(resolution,[],[f68634,f64646])).
% 59.37/10.03  tff(f68634,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP36(X0)) ) | ~spl2737_894),
% 59.37/10.03    inference(avatar_component_clause,[],[f68633])).
% 59.37/10.03  tff(f70115,plain,(
% 59.37/10.03    spl2737_1170),
% 59.37/10.03    inference(avatar_split_clause,[],[f59887,f70113])).
% 59.37/10.03  tff(f70113,plain,(
% 59.37/10.03    spl2737_1170 <=> ! [X2 : bool,X3 : bool] : sP348(vEBT_Leaf(X2,X3),one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1170])])).
% 59.37/10.03  tff(f59887,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool] : (sP348(vEBT_Leaf(X2,X3),one_one(nat))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f59886,f54053])).
% 59.37/10.03  tff(f59886,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool] : (sP348(vEBT_Leaf(X2,X3),aa(nat,nat,suc,size_num(one2)))) )),
% 59.37/10.03    inference(forward_demodulation,[],[f53275,f35397])).
% 59.37/10.03  tff(f53275,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool] : (sP348(vEBT_Leaf(X2,X3),aa(nat,nat,suc,zero_zero(nat)))) )),
% 59.37/10.03    inference(equality_resolution,[],[f53274])).
% 59.37/10.03  tff(f53274,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : vEBT_VEBT] : (sP348(X0,aa(nat,nat,suc,zero_zero(nat))) | vEBT_Leaf(X2,X3) != X0) )),
% 59.37/10.03    inference(equality_resolution,[],[f46222])).
% 59.37/10.03  tff(f46222,plain,(
% 59.37/10.03    ( ! [X2 : bool,X3 : bool,X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X1 | vEBT_Leaf(X2,X3) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31921])).
% 59.37/10.03  tff(f31921,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : ((sP348(X0,X1) | (~sP347(X1,X0) & ~sP346(X1,X0) & ~sP345(X1,X0) & ~sP344(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) != X0))) & (sP347(X1,X0) | sP346(X1,X0) | sP345(X1,X0) | sP344(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK1901(X0),sK1902(X0)) = X0) | ~sP348(X0,X1)))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1901,sK1902])],[f31919,f31920])).
% 59.37/10.03  tff(f31920,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT] : (? [X4 : bool,X5 : bool] : vEBT_Leaf(X4,X5) = X0 => vEBT_Leaf(sK1901(X0),sK1902(X0)) = X0)),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f31919,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : ((sP348(X0,X1) | (~sP347(X1,X0) & ~sP346(X1,X0) & ~sP345(X1,X0) & ~sP344(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) != X0))) & (sP347(X1,X0) | sP346(X1,X0) | sP345(X1,X0) | sP344(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool,X5 : bool] : vEBT_Leaf(X4,X5) = X0) | ~sP348(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f31918])).
% 59.37/10.03  tff(f31918,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : ((sP348(X0,X1) | (~sP347(X1,X0) & ~sP346(X1,X0) & ~sP345(X1,X0) & ~sP344(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) != X0))) & (sP347(X1,X0) | sP346(X1,X0) | sP345(X1,X0) | sP344(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0) | ~sP348(X0,X1)))),
% 59.37/10.03    inference(flattening,[],[f31917])).
% 59.37/10.03  tff(f31917,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : ((sP348(X0,X1) | (~sP347(X1,X0) & ~sP346(X1,X0) & ~sP345(X1,X0) & ~sP344(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) != X0))) & ((sP347(X1,X0) | sP346(X1,X0) | sP345(X1,X0) | sP344(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0)) | ~sP348(X0,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27609])).
% 59.37/10.03  tff(f27609,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) <=> (sP347(X1,X0) | sP346(X1,X0) | sP345(X1,X0) | sP344(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0)))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP348])])).
% 59.37/10.03  tff(f70111,plain,(
% 59.37/10.03    spl2737_1169 | ~spl2737_84 | ~spl2737_894),
% 59.37/10.03    inference(avatar_split_clause,[],[f69032,f68633,f64639,f70108])).
% 59.37/10.03  tff(f70108,plain,(
% 59.37/10.03    spl2737_1169 <=> sP36(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1169])])).
% 59.37/10.03  tff(f69032,plain,(
% 59.37/10.03    sP36(rat) | (~spl2737_84 | ~spl2737_894)),
% 59.37/10.03    inference(resolution,[],[f68634,f64641])).
% 59.37/10.03  tff(f70106,plain,(
% 59.37/10.03    spl2737_1168),
% 59.37/10.03    inference(avatar_split_clause,[],[f54026,f70103])).
% 59.37/10.03  tff(f70103,plain,(
% 59.37/10.03    spl2737_1168 <=> monoid(nat,gcd_gcd(nat),size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1168])])).
% 59.37/10.03  tff(f54026,plain,(
% 59.37/10.03    monoid(nat,gcd_gcd(nat),size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35426,f35397])).
% 59.37/10.03  tff(f35426,plain,(
% 59.37/10.03    monoid(nat,gcd_gcd(nat),zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7403])).
% 59.37/10.03  tff(f7403,axiom,(
% 59.37/10.03    monoid(nat,gcd_gcd(nat),zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7402_gcd__nat_Omonoid__axioms)).
% 59.37/10.03  tff(f70101,plain,(
% 59.37/10.03    spl2737_1167),
% 59.37/10.03    inference(avatar_split_clause,[],[f54025,f70098])).
% 59.37/10.03  tff(f70098,plain,(
% 59.37/10.03    spl2737_1167 <=> monoid(nat,ord_max(nat),size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1167])])).
% 59.37/10.03  tff(f54025,plain,(
% 59.37/10.03    monoid(nat,ord_max(nat),size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35425,f35397])).
% 59.37/10.03  tff(f35425,plain,(
% 59.37/10.03    monoid(nat,ord_max(nat),zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7406])).
% 59.37/10.03  tff(f7406,axiom,(
% 59.37/10.03    monoid(nat,ord_max(nat),zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7405_max__nat_Omonoid__axioms)).
% 59.37/10.03  tff(f70096,plain,(
% 59.37/10.03    spl2737_1166),
% 59.37/10.03    inference(avatar_split_clause,[],[f54024,f70093])).
% 59.37/10.03  tff(f70093,plain,(
% 59.37/10.03    spl2737_1166 <=> comm_monoid(nat,gcd_gcd(nat),size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1166])])).
% 59.37/10.03  tff(f54024,plain,(
% 59.37/10.03    comm_monoid(nat,gcd_gcd(nat),size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35424,f35397])).
% 59.37/10.03  tff(f35424,plain,(
% 59.37/10.03    comm_monoid(nat,gcd_gcd(nat),zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7756])).
% 59.37/10.03  tff(f7756,axiom,(
% 59.37/10.03    comm_monoid(nat,gcd_gcd(nat),zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7755_gcd__nat_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70091,plain,(
% 59.37/10.03    spl2737_1165),
% 59.37/10.03    inference(avatar_split_clause,[],[f54023,f70088])).
% 59.37/10.03  tff(f70088,plain,(
% 59.37/10.03    spl2737_1165 <=> comm_monoid(nat,ord_max(nat),size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1165])])).
% 59.37/10.03  tff(f54023,plain,(
% 59.37/10.03    comm_monoid(nat,ord_max(nat),size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35423,f35397])).
% 59.37/10.03  tff(f35423,plain,(
% 59.37/10.03    comm_monoid(nat,ord_max(nat),zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7760])).
% 59.37/10.03  tff(f7760,axiom,(
% 59.37/10.03    comm_monoid(nat,ord_max(nat),zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7759_max__nat_Ocomm__monoid__axioms)).
% 59.37/10.03  tff(f70086,plain,(
% 59.37/10.03    spl2737_1164),
% 59.37/10.03    inference(avatar_split_clause,[],[f54022,f70083])).
% 59.37/10.03  tff(f70083,plain,(
% 59.37/10.03    spl2737_1164 <=> semilattice_neutr(nat,gcd_gcd(nat),size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1164])])).
% 59.37/10.03  tff(f54022,plain,(
% 59.37/10.03    semilattice_neutr(nat,gcd_gcd(nat),size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35422,f35397])).
% 59.37/10.03  tff(f35422,plain,(
% 59.37/10.03    semilattice_neutr(nat,gcd_gcd(nat),zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7349])).
% 59.37/10.03  tff(f7349,axiom,(
% 59.37/10.03    semilattice_neutr(nat,gcd_gcd(nat),zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7348_gcd__nat_Osemilattice__neutr__axioms)).
% 59.37/10.03  tff(f70081,plain,(
% 59.37/10.03    spl2737_1163),
% 59.37/10.03    inference(avatar_split_clause,[],[f54021,f70078])).
% 59.37/10.03  tff(f70078,plain,(
% 59.37/10.03    spl2737_1163 <=> semilattice_neutr(nat,ord_max(nat),size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1163])])).
% 59.37/10.03  tff(f54021,plain,(
% 59.37/10.03    semilattice_neutr(nat,ord_max(nat),size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35421,f35397])).
% 59.37/10.03  tff(f35421,plain,(
% 59.37/10.03    semilattice_neutr(nat,ord_max(nat),zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f7353])).
% 59.37/10.03  tff(f7353,axiom,(
% 59.37/10.03    semilattice_neutr(nat,ord_max(nat),zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7352_max__nat_Osemilattice__neutr__axioms)).
% 59.37/10.03  tff(f70076,plain,(
% 59.37/10.03    spl2737_1162),
% 59.37/10.03    inference(avatar_split_clause,[],[f54020,f70073])).
% 59.37/10.03  tff(f70073,plain,(
% 59.37/10.03    spl2737_1162 <=> zero_zero(extended_enat) = extended_enat2(size_num(one2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1162])])).
% 59.37/10.03  tff(f70071,plain,(
% 59.37/10.03    spl2737_1161),
% 59.37/10.03    inference(avatar_split_clause,[],[f54016,f70068])).
% 59.37/10.03  tff(f54016,plain,(
% 59.37/10.03    zero_zero(real) = sin_coeff(size_num(one2))),
% 59.37/10.03    inference(forward_demodulation,[],[f35415,f35397])).
% 59.37/10.03  tff(f35415,plain,(
% 59.37/10.03    zero_zero(real) = sin_coeff(zero_zero(nat))),
% 59.37/10.03    inference(cnf_transformation,[],[f3075])).
% 59.37/10.03  tff(f3075,axiom,(
% 59.37/10.03    zero_zero(real) = sin_coeff(zero_zero(nat))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3074_sin__coeff__0)).
% 59.37/10.03  tff(f70066,plain,(
% 59.37/10.03    spl2737_1160),
% 59.37/10.03    inference(avatar_split_clause,[],[f54015,f70063])).
% 59.37/10.03  tff(f70063,plain,(
% 59.37/10.03    spl2737_1160 <=> real_V7770717601297561774m_norm(complex,imaginary_unit) = im(imaginary_unit)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1160])])).
% 59.37/10.03  tff(f54015,plain,(
% 59.37/10.03    real_V7770717601297561774m_norm(complex,imaginary_unit) = im(imaginary_unit)),
% 59.37/10.03    inference(forward_demodulation,[],[f35412,f35393])).
% 59.37/10.03  tff(f35412,plain,(
% 59.37/10.03    one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit)),
% 59.37/10.03    inference(cnf_transformation,[],[f3300])).
% 59.37/10.03  tff(f3300,axiom,(
% 59.37/10.03    one_one(real) = real_V7770717601297561774m_norm(complex,imaginary_unit)),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3299_norm__ii)).
% 59.37/10.03  tff(f70061,plain,(
% 59.37/10.03    spl2737_1159),
% 59.37/10.03    inference(avatar_split_clause,[],[f54014,f70058])).
% 59.37/10.03  tff(f54014,plain,(
% 59.37/10.03    im(imaginary_unit) = re(one_one(complex))),
% 59.37/10.03    inference(forward_demodulation,[],[f35411,f35393])).
% 59.37/10.03  tff(f35411,plain,(
% 59.37/10.03    one_one(real) = re(one_one(complex))),
% 59.37/10.03    inference(cnf_transformation,[],[f4739])).
% 59.37/10.03  tff(f4739,axiom,(
% 59.37/10.03    one_one(real) = re(one_one(complex))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4738_one__complex_Osimps_I1_J)).
% 59.37/10.03  tff(f70056,plain,(
% 59.37/10.03    spl2737_1158 | ~spl2737_85 | ~spl2737_893),
% 59.37/10.03    inference(avatar_split_clause,[],[f69031,f68629,f64644,f70053])).
% 59.37/10.03  tff(f70053,plain,(
% 59.37/10.03    spl2737_1158 <=> sP34(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1158])])).
% 59.37/10.03  tff(f68629,plain,(
% 59.37/10.03    spl2737_893 <=> ! [X0 : $tType] : (sP34(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_893])])).
% 59.37/10.03  tff(f69031,plain,(
% 59.37/10.03    sP34(real) | (~spl2737_85 | ~spl2737_893)),
% 59.37/10.03    inference(resolution,[],[f68630,f64646])).
% 59.37/10.03  tff(f68630,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP34(X0)) ) | ~spl2737_893),
% 59.37/10.03    inference(avatar_component_clause,[],[f68629])).
% 59.37/10.03  tff(f70051,plain,(
% 59.37/10.03    spl2737_1157),
% 59.37/10.03    inference(avatar_split_clause,[],[f53957,f70049])).
% 59.37/10.03  tff(f70049,plain,(
% 59.37/10.03    spl2737_1157 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP562(X0,X1,X3,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1157])])).
% 59.37/10.03  tff(f53957,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP562(X0,X1,X3,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f50456])).
% 59.37/10.03  tff(f50456,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP562(X0,X1,X2,X3,X4)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34524])).
% 59.37/10.03  tff(f34524,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((((sP561(X3,X2,X1,sK2724(X0,X1,X2,X3,X4),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK2724(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2724(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2724(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))) & X2 != X3) | ~sP562(X0,X1,X2,X3,X4))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2724])],[f34522,f34523])).
% 59.37/10.03  tff(f34523,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : (? [X5 : nat] : ((sP561(X3,X2,X1,X5,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))) => ((sP561(X3,X2,X1,sK2724(X0,X1,X2,X3,X4),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK2724(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2724(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2724(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f34522,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((? [X5 : nat] : ((sP561(X3,X2,X1,X5,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))) & X2 != X3) | ~sP562(X0,X1,X2,X3,X4))),
% 59.37/10.03    inference(rectify,[],[f34521])).
% 59.37/10.03  tff(f34521,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP561(X6,X5,X1,X12,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) & X5 != X6) | ~sP562(X0,X1,X5,X6,X3))),
% 59.37/10.03    inference(nnf_transformation,[],[f27940])).
% 59.37/10.03  tff(f27940,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP561(X6,X5,X1,X12,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) & X5 != X6) | ~sP562(X0,X1,X5,X6,X3))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP562])])).
% 59.37/10.03  tff(f70047,plain,(
% 59.37/10.03    spl2737_1156),
% 59.37/10.03    inference(avatar_split_clause,[],[f53952,f70045])).
% 59.37/10.03  tff(f70045,plain,(
% 59.37/10.03    spl2737_1156 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP558(X0,X1,X3,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1156])])).
% 59.37/10.03  tff(f53952,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP558(X0,X1,X3,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f50441])).
% 59.37/10.03  tff(f50441,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP558(X0,X1,X2,X3,X4)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34503])).
% 59.37/10.03  tff(f34503,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((((sP557(X3,X2,X1,sK2717(X0,X1,X2,X3,X4),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK2717(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2717(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2717(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))) & X2 != X3) | ~sP558(X0,X1,X2,X3,X4))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2717])],[f34501,f34502])).
% 59.37/10.03  tff(f34502,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : (? [X5 : nat] : ((sP557(X3,X2,X1,X5,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))) => ((sP557(X3,X2,X1,sK2717(X0,X1,X2,X3,X4),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK2717(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2717(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2717(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f34501,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((? [X5 : nat] : ((sP557(X3,X2,X1,X5,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X5)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X4)))) & X2 != X3) | ~sP558(X0,X1,X2,X3,X4))),
% 59.37/10.03    inference(rectify,[],[f34500])).
% 59.37/10.03  tff(f34500,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP557(X6,X5,X1,X12,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) & X5 != X6) | ~sP558(X0,X1,X5,X6,X3))),
% 59.37/10.03    inference(nnf_transformation,[],[f27935])).
% 59.37/10.03  tff(f27935,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP557(X6,X5,X1,X12,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X12)),vEBT_VEBT_low(X6,X1))) & vEBT_VEBT_high(X6,X1) = X12)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X12),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) & X5 != X6) | ~sP558(X0,X1,X5,X6,X3))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP558])])).
% 59.37/10.03  tff(f70043,plain,(
% 59.37/10.03    spl2737_1155),
% 59.37/10.03    inference(avatar_split_clause,[],[f53930,f70041])).
% 59.37/10.03  tff(f70041,plain,(
% 59.37/10.03    spl2737_1155 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP551(X0,X1,X4,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1155])])).
% 59.37/10.03  tff(f53930,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP551(X0,X1,X4,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f50336])).
% 59.37/10.03  tff(f50336,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP551(X0,X1,X2,X3,X4) | X2 != X4) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34451])).
% 59.37/10.03  tff(f34451,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((sP551(X0,X1,X2,X3,X4) | ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) & X2 != X3 & X2 != X4)) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) | X2 = X3 | X2 = X4 | ~sP551(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(rectify,[],[f34450])).
% 59.37/10.03  tff(f34450,plain,(
% 59.37/10.03    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : ((sP551(X3,X2,X5,X1,X0) | ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & X1 != X5 & X0 != X5)) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | X1 = X5 | X0 = X5 | ~sP551(X3,X2,X5,X1,X0)))),
% 59.37/10.03    inference(flattening,[],[f34449])).
% 59.37/10.03  tff(f34449,plain,(
% 59.37/10.03    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : ((sP551(X3,X2,X5,X1,X0) | ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) & X1 != X5 & X0 != X5)) & (((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | X1 = X5 | X0 = X5) | ~sP551(X3,X2,X5,X1,X0)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27923])).
% 59.37/10.03  tff(f27923,plain,(
% 59.37/10.03    ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : (sP551(X3,X2,X5,X1,X0) <=> ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | X1 = X5 | X0 = X5))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP551])])).
% 59.37/10.03  tff(f70039,plain,(
% 59.37/10.03    spl2737_1154),
% 59.37/10.03    inference(avatar_split_clause,[],[f53929,f70037])).
% 59.37/10.03  tff(f70037,plain,(
% 59.37/10.03    spl2737_1154 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP551(X0,X1,X3,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1154])])).
% 59.37/10.03  tff(f53929,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP551(X0,X1,X3,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f50337])).
% 59.37/10.03  tff(f50337,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP551(X0,X1,X2,X3,X4) | X2 != X3) )),
% 59.37/10.03    inference(cnf_transformation,[],[f34451])).
% 59.37/10.03  tff(f70035,plain,(
% 59.37/10.03    spl2737_1153),
% 59.37/10.03    inference(avatar_split_clause,[],[f53633,f70033])).
% 59.37/10.03  tff(f70033,plain,(
% 59.37/10.03    spl2737_1153 <=> ! [X1 : bool] : (sP477(one_one(nat),X1) | ~pp(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1153])])).
% 59.37/10.03  tff(f53633,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (sP477(one_one(nat),X1) | ~pp(X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48569])).
% 59.37/10.03  tff(f48569,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (sP477(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33378])).
% 59.37/10.03  tff(f70031,plain,(
% 59.37/10.03    spl2737_1152),
% 59.37/10.03    inference(avatar_split_clause,[],[f53613,f70029])).
% 59.37/10.03  tff(f70029,plain,(
% 59.37/10.03    spl2737_1152 <=> ! [X0 : $tType,X1 : list(X0)] : sP467(X0,X1,remdups_adj(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1152])])).
% 59.37/10.03  tff(f53613,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X1 : list(X0)] : (sP467(X0,X1,remdups_adj(X0,X1))) )),
% 59.37/10.03    inference(equality_resolution,[],[f48447])).
% 59.37/10.03  tff(f48447,plain,(
% 59.37/10.03    ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP467(X0,X1,X2) | remdups_adj(X0,X1) != X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33279])).
% 59.37/10.03  tff(f70027,plain,(
% 59.37/10.03    spl2737_1151),
% 59.37/10.03    inference(avatar_split_clause,[],[f53612,f70025])).
% 59.37/10.03  tff(f70025,plain,(
% 59.37/10.03    spl2737_1151 <=> ! [X0 : bool,X1 : bool] : vEBT_VEBT_valid(vEBT_Leaf(X0,X1),one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1151])])).
% 59.37/10.03  tff(f53612,plain,(
% 59.37/10.03    ( ! [X0 : bool,X1 : bool] : (vEBT_VEBT_valid(vEBT_Leaf(X0,X1),one_one(nat))) )),
% 59.37/10.03    inference(equality_resolution,[],[f48435])).
% 59.37/10.03  tff(f48435,plain,(
% 59.37/10.03    ( ! [X2 : nat,X0 : bool,X1 : bool] : (vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2) | one_one(nat) != X2) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33268])).
% 59.37/10.03  tff(f70023,plain,(
% 59.37/10.03    spl2737_1150),
% 59.37/10.03    inference(avatar_split_clause,[],[f53607,f70021])).
% 59.37/10.03  tff(f70021,plain,(
% 59.37/10.03    spl2737_1150 <=> ! [X1 : bool] : (sP465(one_one(nat),X1) | ~pp(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1150])])).
% 59.37/10.03  tff(f53607,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (sP465(one_one(nat),X1) | ~pp(X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48429])).
% 59.37/10.03  tff(f48429,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (sP465(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33265])).
% 59.37/10.03  tff(f70019,plain,(
% 59.37/10.03    spl2737_1149),
% 59.37/10.03    inference(avatar_split_clause,[],[f53586,f70017])).
% 59.37/10.03  tff(f70017,plain,(
% 59.37/10.03    spl2737_1149 <=> ! [X1 : bool] : (~pp(X1) | ~sP451(one_one(nat),X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1149])])).
% 59.37/10.03  tff(f53586,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (~pp(X1) | ~sP451(one_one(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48260])).
% 59.37/10.03  tff(f48260,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP451(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33077])).
% 59.37/10.03  tff(f70015,plain,(
% 59.37/10.03    spl2737_1148),
% 59.37/10.03    inference(avatar_split_clause,[],[f53578,f70013])).
% 59.37/10.03  tff(f70013,plain,(
% 59.37/10.03    spl2737_1148 <=> ! [X1 : bool] : (sP442(one_one(nat),X1) | ~pp(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1148])])).
% 59.37/10.03  tff(f53578,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (sP442(one_one(nat),X1) | ~pp(X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48231])).
% 59.37/10.03  tff(f48231,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (sP442(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33050])).
% 59.37/10.03  tff(f70011,plain,(
% 59.37/10.03    spl2737_1147 | ~spl2737_84 | ~spl2737_893),
% 59.37/10.03    inference(avatar_split_clause,[],[f69030,f68629,f64639,f70008])).
% 59.37/10.03  tff(f70008,plain,(
% 59.37/10.03    spl2737_1147 <=> sP34(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1147])])).
% 59.37/10.03  tff(f69030,plain,(
% 59.37/10.03    sP34(rat) | (~spl2737_84 | ~spl2737_893)),
% 59.37/10.03    inference(resolution,[],[f68630,f64641])).
% 59.37/10.03  tff(f70006,plain,(
% 59.37/10.03    spl2737_1146),
% 59.37/10.03    inference(avatar_split_clause,[],[f53574,f70004])).
% 59.37/10.03  tff(f70004,plain,(
% 59.37/10.03    spl2737_1146 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP435(X0,X1,X4,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1146])])).
% 59.37/10.03  tff(f53574,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP435(X0,X1,X4,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48186])).
% 59.37/10.03  tff(f48186,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X4 | ~sP435(X0,X1,X2,X3,X4)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33012])).
% 59.37/10.03  tff(f33012,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((sP435(X0,X1,X2,X3,X4) | (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) | X2 = X3 | X2 = X4) & (((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) & X2 != X3 & X2 != X4) | ~sP435(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(rectify,[],[f33011])).
% 59.37/10.03  tff(f33011,plain,(
% 59.37/10.03    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP435(X14,X13,X1,X12,X11) | (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11) & (((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11) | ~sP435(X14,X13,X1,X12,X11)))),
% 59.37/10.03    inference(flattening,[],[f33010])).
% 59.37/10.03  tff(f33010,plain,(
% 59.37/10.03    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP435(X14,X13,X1,X12,X11) | ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11)) & (((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11) | ~sP435(X14,X13,X1,X12,X11)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27739])).
% 59.37/10.03  tff(f27739,plain,(
% 59.37/10.03    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : (sP435(X14,X13,X1,X12,X11) <=> ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP435])])).
% 59.37/10.03  tff(f70002,plain,(
% 59.37/10.03    spl2737_1145),
% 59.37/10.03    inference(avatar_split_clause,[],[f53573,f70000])).
% 59.37/10.03  tff(f70000,plain,(
% 59.37/10.03    spl2737_1145 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP435(X0,X1,X3,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1145])])).
% 59.37/10.03  tff(f53573,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP435(X0,X1,X3,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48187])).
% 59.37/10.03  tff(f48187,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP435(X0,X1,X2,X3,X4)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33012])).
% 59.37/10.03  tff(f69998,plain,(
% 59.37/10.03    spl2737_1144),
% 59.37/10.03    inference(avatar_split_clause,[],[f53570,f69996])).
% 59.37/10.03  tff(f69996,plain,(
% 59.37/10.03    spl2737_1144 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP427(X0,X1,X4,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1144])])).
% 59.37/10.03  tff(f53570,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP427(X0,X1,X4,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48161])).
% 59.37/10.03  tff(f48161,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP427(X0,X1,X2,X3,X4) | X2 != X4) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32984])).
% 59.37/10.03  tff(f32984,plain,(
% 59.37/10.03    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((sP427(X0,X1,X2,X3,X4) | ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) & X2 != X3 & X2 != X4)) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) | X2 = X3 | X2 = X4 | ~sP427(X0,X1,X2,X3,X4)))),
% 59.37/10.03    inference(rectify,[],[f32983])).
% 59.37/10.03  tff(f32983,plain,(
% 59.37/10.03    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP427(X14,X13,X1,X12,X11) | ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11)) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11 | ~sP427(X14,X13,X1,X12,X11)))),
% 59.37/10.03    inference(flattening,[],[f32982])).
% 59.37/10.03  tff(f32982,plain,(
% 59.37/10.03    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP427(X14,X13,X1,X12,X11) | ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) | (~vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11)) & (((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11) | ~sP427(X14,X13,X1,X12,X11)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27730])).
% 59.37/10.03  tff(f27730,plain,(
% 59.37/10.03    ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : (sP427(X14,X13,X1,X12,X11) <=> ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))) & (vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),vEBT_VEBT_high(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),bit0(one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP427])])).
% 59.37/10.03  tff(f69994,plain,(
% 59.37/10.03    spl2737_1143),
% 59.37/10.03    inference(avatar_split_clause,[],[f53569,f69992])).
% 59.37/10.03  tff(f69992,plain,(
% 59.37/10.03    spl2737_1143 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP427(X0,X1,X3,X3,X4)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1143])])).
% 59.37/10.03  tff(f53569,plain,(
% 59.37/10.03    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP427(X0,X1,X3,X3,X4)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48162])).
% 59.37/10.03  tff(f48162,plain,(
% 59.37/10.03    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP427(X0,X1,X2,X3,X4) | X2 != X3) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32984])).
% 59.37/10.03  tff(f69990,plain,(
% 59.37/10.03    spl2737_1142),
% 59.37/10.03    inference(avatar_split_clause,[],[f53560,f69988])).
% 59.37/10.03  tff(f69988,plain,(
% 59.37/10.03    spl2737_1142 <=> ! [X1 : bool] : (~pp(X1) | ~sP414(one_one(nat),X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1142])])).
% 59.37/10.03  tff(f53560,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (~pp(X1) | ~sP414(one_one(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48097])).
% 59.37/10.03  tff(f48097,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP414(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32918])).
% 59.37/10.03  tff(f69986,plain,(
% 59.37/10.03    spl2737_1141),
% 59.37/10.03    inference(avatar_split_clause,[],[f53554,f69984])).
% 59.37/10.03  tff(f69984,plain,(
% 59.37/10.03    spl2737_1141 <=> ! [X1 : bool] : (sP408(one_one(nat),X1) | ~pp(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1141])])).
% 59.37/10.03  tff(f53554,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (sP408(one_one(nat),X1) | ~pp(X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f48080])).
% 59.37/10.03  tff(f48080,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (sP408(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32902])).
% 59.37/10.03  tff(f69982,plain,(
% 59.37/10.03    spl2737_1140),
% 59.37/10.03    inference(avatar_split_clause,[],[f53203,f69980])).
% 59.37/10.03  tff(f69980,plain,(
% 59.37/10.03    spl2737_1140 <=> ! [X1 : bool] : (~pp(X1) | ~sP301(one_one(nat),X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1140])])).
% 59.37/10.03  tff(f53203,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (~pp(X1) | ~sP301(one_one(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f45148])).
% 59.37/10.03  tff(f45148,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP301(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31364])).
% 59.37/10.03  tff(f31364,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP301(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31363])).
% 59.37/10.03  tff(f31363,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP301(X1,X3))),
% 59.37/10.03    inference(nnf_transformation,[],[f27544])).
% 59.37/10.03  tff(f27544,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP301(X1,X3))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP301])])).
% 59.37/10.03  tff(f69978,plain,(
% 59.37/10.03    spl2737_1139),
% 59.37/10.03    inference(avatar_split_clause,[],[f53200,f69976])).
% 59.37/10.03  tff(f69976,plain,(
% 59.37/10.03    spl2737_1139 <=> ! [X1 : bool] : (~pp(X1) | ~sP296(one_one(nat),X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1139])])).
% 59.37/10.03  tff(f53200,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (~pp(X1) | ~sP296(one_one(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f45133])).
% 59.37/10.03  tff(f45133,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP296(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31351])).
% 59.37/10.03  tff(f31351,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP296(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31350])).
% 59.37/10.03  tff(f31350,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP296(X1,X3))),
% 59.37/10.03    inference(nnf_transformation,[],[f27538])).
% 59.37/10.03  tff(f27538,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP296(X1,X3))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP296])])).
% 59.37/10.03  tff(f69974,plain,(
% 59.37/10.03    spl2737_1138),
% 59.37/10.03    inference(avatar_split_clause,[],[f53173,f69972])).
% 59.37/10.03  tff(f69972,plain,(
% 59.37/10.03    spl2737_1138 <=> ! [X1 : bool] : (~pp(X1) | ~sP262(one_one(nat),X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1138])])).
% 59.37/10.03  tff(f53173,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (~pp(X1) | ~sP262(one_one(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f44847])).
% 59.37/10.03  tff(f44847,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP262(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31149])).
% 59.37/10.03  tff(f31149,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP262(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31148])).
% 59.37/10.03  tff(f31148,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP262(X1,X3))),
% 59.37/10.03    inference(nnf_transformation,[],[f27487])).
% 59.37/10.03  tff(f27487,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP262(X1,X3))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP262])])).
% 59.37/10.03  tff(f69970,plain,(
% 59.37/10.03    spl2737_1137),
% 59.37/10.03    inference(avatar_split_clause,[],[f53170,f69968])).
% 59.37/10.03  tff(f69968,plain,(
% 59.37/10.03    spl2737_1137 <=> ! [X1 : bool] : (~pp(X1) | ~sP259(one_one(nat),X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1137])])).
% 59.37/10.03  tff(f53170,plain,(
% 59.37/10.03    ( ! [X1 : bool] : (~pp(X1) | ~sP259(one_one(nat),X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f44839])).
% 59.37/10.03  tff(f44839,plain,(
% 59.37/10.03    ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP259(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31140])).
% 59.37/10.03  tff(f31140,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP259(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f31139])).
% 59.37/10.03  tff(f31139,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP259(X1,X3))),
% 59.37/10.03    inference(nnf_transformation,[],[f27483])).
% 59.37/10.03  tff(f27483,plain,(
% 59.37/10.03    ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP259(X1,X3))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP259])])).
% 59.37/10.03  tff(f69966,plain,(
% 59.37/10.03    spl2737_1136 | ~spl2737_85 | ~spl2737_892),
% 59.37/10.03    inference(avatar_split_clause,[],[f69029,f68625,f64644,f69963])).
% 59.37/10.03  tff(f69963,plain,(
% 59.37/10.03    spl2737_1136 <=> sP32(real)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1136])])).
% 59.37/10.03  tff(f68625,plain,(
% 59.37/10.03    spl2737_892 <=> ! [X0 : $tType] : (sP32(X0) | ~linordered_field(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_892])])).
% 59.37/10.03  tff(f69029,plain,(
% 59.37/10.03    sP32(real) | (~spl2737_85 | ~spl2737_892)),
% 59.37/10.03    inference(resolution,[],[f68626,f64646])).
% 59.37/10.03  tff(f68626,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~linordered_field(X0) | sP32(X0)) ) | ~spl2737_892),
% 59.37/10.03    inference(avatar_component_clause,[],[f68625])).
% 59.37/10.03  tff(f69961,plain,(
% 59.37/10.03    spl2737_1135),
% 59.37/10.03    inference(avatar_split_clause,[],[f53125,f69959])).
% 59.37/10.03  tff(f69959,plain,(
% 59.37/10.03    spl2737_1135 <=> ! [X1 : code_natural] : one_one(code_natural) = inc_shift(X1,X1)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1135])])).
% 59.37/10.03  tff(f53125,plain,(
% 59.37/10.03    ( ! [X1 : code_natural] : (one_one(code_natural) = inc_shift(X1,X1)) )),
% 59.37/10.03    inference(equality_resolution,[],[f44053])).
% 59.37/10.03  tff(f44053,plain,(
% 59.37/10.03    ( ! [X0 : code_natural,X1 : code_natural] : (one_one(code_natural) = inc_shift(X0,X1) | X0 != X1) )),
% 59.37/10.03    inference(cnf_transformation,[],[f23745])).
% 59.37/10.03  tff(f23745,plain,(
% 59.37/10.03    ! [X0 : code_natural,X1 : code_natural] : ((inc_shift(X0,X1) = aa(code_natural,code_natural,aa(code_natural,fun(code_natural,code_natural),plus_plus(code_natural),X1),one_one(code_natural)) | X0 = X1) & (one_one(code_natural) = inc_shift(X0,X1) | X0 != X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15234])).
% 59.37/10.03  tff(f15234,plain,(
% 59.37/10.03    ! [X0 : code_natural,X1 : code_natural] : ((X0 != X1 => inc_shift(X0,X1) = aa(code_natural,code_natural,aa(code_natural,fun(code_natural,code_natural),plus_plus(code_natural),X1),one_one(code_natural))) & (X0 = X1 => one_one(code_natural) = inc_shift(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f7926])).
% 59.37/10.03  tff(f7926,axiom,(
% 59.37/10.03    ! [X133 : code_natural,X18 : code_natural] : ((X18 != X133 => inc_shift(X133,X18) = aa(code_natural,code_natural,aa(code_natural,fun(code_natural,code_natural),plus_plus(code_natural),X18),one_one(code_natural))) & (X18 = X133 => one_one(code_natural) = inc_shift(X133,X18)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7925_inc__shift__def)).
% 59.37/10.03  tff(f69957,plain,(
% 59.37/10.03    spl2737_1134),
% 59.37/10.03    inference(avatar_split_clause,[],[f53086,f69955])).
% 59.37/10.03  tff(f69955,plain,(
% 59.37/10.03    spl2737_1134 <=> ! [X2 : bool,X1 : bool] : vEBT_invar_vebt(vEBT_Leaf(X1,X2),one_one(nat))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1134])])).
% 59.37/10.03  tff(f53086,plain,(
% 59.37/10.03    ( ! [X2 : bool,X1 : bool] : (vEBT_invar_vebt(vEBT_Leaf(X1,X2),one_one(nat))) )),
% 59.37/10.03    inference(equality_resolution,[],[f43302])).
% 59.37/10.03  tff(f43302,plain,(
% 59.37/10.03    ( ! [X2 : bool,X0 : vEBT_VEBT,X1 : bool] : (vEBT_invar_vebt(X0,one_one(nat)) | vEBT_Leaf(X1,X2) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f30573])).
% 59.37/10.03  tff(f69953,plain,(
% 59.37/10.03    spl2737_1133),
% 59.37/10.03    inference(avatar_split_clause,[],[f52624,f69951])).
% 59.37/10.03  tff(f69951,plain,(
% 59.37/10.03    spl2737_1133 <=> ! [X1 : $tType,X2 : X1,X3 : X1] : ~sP65(X1,zero_zero(X1),X2,X3)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1133])])).
% 59.37/10.03  tff(f52624,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1] : (~sP65(X1,zero_zero(X1),X2,X3)) )),
% 59.37/10.03    inference(equality_resolution,[],[f38088])).
% 59.37/10.03  tff(f38088,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X2 : X1,X3 : X1,X0 : X1] : (zero_zero(X1) != X0 | ~sP65(X1,X0,X2,X3)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f28645])).
% 59.37/10.03  tff(f28645,plain,(
% 59.37/10.03    ! [X0 : X1,X1 : $tType,X2 : X1,X3 : X1] : ((sP65(X1,X0,X2,X3) | zero_zero(X1) = X0 | (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),zero_zero(X1)))) | (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X3)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0)))) & ((zero_zero(X1) != X0 & (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X3),X2)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),zero_zero(X1)))) & (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X3)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0)))) | ~sP65(X1,X0,X2,X3)))),
% 59.37/10.03    inference(rectify,[],[f28644])).
% 59.37/10.03  tff(f28644,plain,(
% 59.37/10.03    ! [X2 : X0,X0 : $tType,X1 : X0,X3 : X0] : ((sP65(X0,X2,X1,X3) | zero_zero(X0) = X2 | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))) & ((zero_zero(X0) != X2 & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))) | ~sP65(X0,X2,X1,X3)))),
% 59.37/10.03    inference(flattening,[],[f28643])).
% 59.37/10.03  tff(f28643,plain,(
% 59.37/10.03    ! [X2 : X0,X0 : $tType,X1 : X0,X3 : X0] : ((sP65(X0,X2,X1,X3) | (zero_zero(X0) = X2 | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) & ((zero_zero(X0) != X2 & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))) | ~sP65(X0,X2,X1,X3)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27187])).
% 59.37/10.03  tff(f27187,plain,(
% 59.37/10.03    ! [X2 : X0,X0 : $tType,X1 : X0,X3 : X0] : (sP65(X0,X2,X1,X3) <=> (zero_zero(X0) != X2 & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])])).
% 59.37/10.03  tff(f69949,plain,(
% 59.37/10.03    spl2737_1132),
% 59.37/10.03    inference(avatar_split_clause,[],[f52522,f69946])).
% 59.37/10.03  tff(f69946,plain,(
% 59.37/10.03    spl2737_1132 <=> zero_zero(real) = arg(zero_zero(complex))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1132])])).
% 59.37/10.03  tff(f52522,plain,(
% 59.37/10.03    zero_zero(real) = arg(zero_zero(complex))),
% 59.37/10.03    inference(equality_resolution,[],[f36331])).
% 59.37/10.03  tff(f36331,plain,(
% 59.37/10.03    ( ! [X0 : complex] : (zero_zero(real) = arg(X0) | zero_zero(complex) != X0) )),
% 59.37/10.03    inference(cnf_transformation,[],[f18394])).
% 59.37/10.03  tff(f69944,plain,(
% 59.37/10.03    spl2737_1131),
% 59.37/10.03    inference(avatar_split_clause,[],[f48206,f69942])).
% 59.37/10.03  tff(f69942,plain,(
% 59.37/10.03    spl2737_1131 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP447(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1131])])).
% 59.37/10.03  tff(f48206,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP447(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33034])).
% 59.37/10.03  tff(f33034,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),sK2263(X0,X1,X2),sK2264(X0,X1,X2),sK2265(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),sK2263(X0,X1,X2),sK2264(X0,X1,X2),sK2265(X0,X1,X2)) = X2) | ~sP447(X0,X1,X2))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2263,sK2264,sK2265])],[f33032,f33033])).
% 59.37/10.03  tff(f33033,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),sK2263(X0,X1,X2),sK2264(X0,X1,X2),sK2265(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),sK2263(X0,X1,X2),sK2264(X0,X1,X2),sK2265(X0,X1,X2)) = X2))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f33032,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5)),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),X3,X4,X5) = X2) | ~sP447(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f33031])).
% 59.37/10.03  tff(f33031,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1)) & ~pp(X2) & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP447(X1,X2,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27752])).
% 59.37/10.03  tff(f27752,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X5 : nat,X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7)),X1)) & ~pp(X2) & vEBT_Node(none(product_prod(nat,nat)),X5,X6,X7) = X0) | ~sP447(X1,X2,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP447])])).
% 59.37/10.03  tff(f69940,plain,(
% 59.37/10.03    spl2737_1130),
% 59.37/10.03    inference(avatar_split_clause,[],[f48203,f69938])).
% 59.37/10.03  tff(f69938,plain,(
% 59.37/10.03    spl2737_1130 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP448(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1130])])).
% 59.37/10.03  tff(f48203,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP448(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33030])).
% 59.37/10.03  tff(f33030,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2260(X0,X1,X2)),zero_zero(nat),sK2261(X0,X1,X2),sK2262(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2260(X0,X1,X2)),zero_zero(nat),sK2261(X0,X1,X2),sK2262(X0,X1,X2)) = X2) | ~sP448(X0,X1,X2))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2260,sK2261,sK2262])],[f33028,f33029])).
% 59.37/10.03  tff(f33029,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2260(X0,X1,X2)),zero_zero(nat),sK2261(X0,X1,X2),sK2262(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2260(X0,X1,X2)),zero_zero(nat),sK2261(X0,X1,X2),sK2262(X0,X1,X2)) = X2))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f33028,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5)),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),zero_zero(nat),X4,X5) = X2) | ~sP448(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f33027])).
% 59.37/10.03  tff(f33027,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10)),X1)) & ~pp(X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10) = X0) | ~sP448(X1,X2,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27753])).
% 59.37/10.03  tff(f27753,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10)),X1)) & ~pp(X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10) = X0) | ~sP448(X1,X2,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP448])])).
% 59.37/10.03  tff(f69936,plain,(
% 59.37/10.03    spl2737_1129),
% 59.37/10.03    inference(avatar_split_clause,[],[f48200,f69934])).
% 59.37/10.03  tff(f69934,plain,(
% 59.37/10.03    spl2737_1129 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP449(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1129])])).
% 59.37/10.03  tff(f48200,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP449(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f33026])).
% 59.37/10.03  tff(f33026,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2257(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2258(X0,X1,X2),sK2259(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2257(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2258(X0,X1,X2),sK2259(X0,X1,X2)) = X2) | ~sP449(X0,X1,X2))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2257,sK2258,sK2259])],[f33024,f33025])).
% 59.37/10.03  tff(f33025,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2257(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2258(X0,X1,X2),sK2259(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2257(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2258(X0,X1,X2),sK2259(X0,X1,X2)) = X2))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f33024,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : product_prod(nat,nat),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5)),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X3),aa(nat,nat,suc,zero_zero(nat)),X4,X5) = X2) | ~sP449(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f33023])).
% 59.37/10.03  tff(f33023,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13)),X1)) & ~pp(X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13) = X0) | ~sP449(X1,X2,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27754])).
% 59.37/10.03  tff(f27754,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X11 : product_prod(nat,nat),X12 : list(vEBT_VEBT),X13 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13)),X1)) & ~pp(X2) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X11),aa(nat,nat,suc,zero_zero(nat)),X12,X13) = X0) | ~sP449(X1,X2,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP449])])).
% 59.37/10.03  tff(f69932,plain,(
% 59.37/10.03    spl2737_1128),
% 59.37/10.03    inference(avatar_split_clause,[],[f48151,f69930])).
% 59.37/10.03  tff(f69930,plain,(
% 59.37/10.03    spl2737_1128 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP430(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1128])])).
% 59.37/10.03  tff(f48151,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP430(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32976])).
% 59.37/10.03  tff(f69928,plain,(
% 59.37/10.03    spl2737_1127),
% 59.37/10.03    inference(avatar_split_clause,[],[f48148,f69926])).
% 59.37/10.03  tff(f69926,plain,(
% 59.37/10.03    spl2737_1127 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP431(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1127])])).
% 59.37/10.03  tff(f48148,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP431(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32972])).
% 59.37/10.03  tff(f32972,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2232(X0,X1,X2),sK2233(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2232(X0,X1,X2),sK2233(X0,X1,X2)) = X2) | ~sP431(X0,X1,X2))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2232,sK2233])],[f32970,f32971])).
% 59.37/10.03  tff(f32971,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4)),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2232(X0,X1,X2),sK2233(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2232(X0,X1,X2),sK2233(X0,X1,X2)) = X2))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f32970,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4)),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X3,X4) = X2) | ~sP431(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f32969])).
% 59.37/10.03  tff(f32969,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6)),X1)) & ~pp(X2) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6) = X0) | ~sP431(X1,X2,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27734])).
% 59.37/10.03  tff(f27734,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6)),X1)) & ~pp(X2) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),X5,X6) = X0) | ~sP431(X1,X2,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP431])])).
% 59.37/10.03  tff(f69924,plain,(
% 59.37/10.03    spl2737_1126),
% 59.37/10.03    inference(avatar_split_clause,[],[f48063,f69922])).
% 59.37/10.03  tff(f69922,plain,(
% 59.37/10.03    spl2737_1126 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP412(X0,X1,X2))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1126])])).
% 59.37/10.03  tff(f48063,plain,(
% 59.37/10.03    ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP412(X0,X1,X2)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32889])).
% 59.37/10.03  tff(f32889,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK2192(X0,X1,X2),zero_zero(nat),sK2193(X0,X1,X2),sK2194(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(sK2192(X0,X1,X2),zero_zero(nat),sK2193(X0,X1,X2),sK2194(X0,X1,X2)) = X2) | ~sP412(X0,X1,X2))),
% 59.37/10.03    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2192,sK2193,sK2194])],[f32887,f32888])).
% 59.37/10.03  tff(f32888,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X3,zero_zero(nat),X4,X5)),X0)) & ~pp(X1) & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(sK2192(X0,X1,X2),zero_zero(nat),sK2193(X0,X1,X2),sK2194(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(sK2192(X0,X1,X2),zero_zero(nat),sK2193(X0,X1,X2),sK2194(X0,X1,X2)) = X2))),
% 59.37/10.03    introduced(choice_axiom,[])).
% 59.37/10.03  tff(f32887,plain,(
% 59.37/10.03    ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (? [X3 : option(product_prod(nat,nat)),X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X3,zero_zero(nat),X4,X5)),X0)) & ~pp(X1) & vEBT_Node(X3,zero_zero(nat),X4,X5) = X2) | ~sP412(X0,X1,X2))),
% 59.37/10.03    inference(rectify,[],[f32886])).
% 59.37/10.03  tff(f32886,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X5,zero_zero(nat),X6,X7)),X1)) & ~pp(X2) & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP412(X1,X2,X0))),
% 59.37/10.03    inference(nnf_transformation,[],[f27711])).
% 59.37/10.03  tff(f27711,plain,(
% 59.37/10.03    ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (? [X5 : option(product_prod(nat,nat)),X6 : list(vEBT_VEBT),X7 : vEBT_VEBT] : (accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),product_Pair(vEBT_VEBT,nat,vEBT_Node(X5,zero_zero(nat),X6,X7)),X1)) & ~pp(X2) & vEBT_Node(X5,zero_zero(nat),X6,X7) = X0) | ~sP412(X1,X2,X0))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP412])])).
% 59.37/10.03  tff(f69920,plain,(
% 59.37/10.03    spl2737_1125 | ~spl2737_84 | ~spl2737_892),
% 59.37/10.03    inference(avatar_split_clause,[],[f69028,f68625,f64639,f69917])).
% 59.37/10.03  tff(f69917,plain,(
% 59.37/10.03    spl2737_1125 <=> sP32(rat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1125])])).
% 59.37/10.03  tff(f69028,plain,(
% 59.37/10.03    sP32(rat) | (~spl2737_84 | ~spl2737_892)),
% 59.37/10.03    inference(resolution,[],[f68626,f64641])).
% 59.37/10.03  tff(f69915,plain,(
% 59.37/10.03    spl2737_1124),
% 59.37/10.03    inference(avatar_split_clause,[],[f46328,f69913])).
% 59.37/10.03  tff(f69913,plain,(
% 59.37/10.03    spl2737_1124 <=> ! [X1 : $tType,X0 : list(list(X1))] : (sP349(X1,X0) | ~sP350(X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1124])])).
% 59.37/10.03  tff(f46328,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : list(list(X1))] : (sP349(X1,X0) | ~sP350(X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f32008])).
% 59.37/10.03  tff(f69911,plain,(
% 59.37/10.03    spl2737_1123),
% 59.37/10.03    inference(avatar_split_clause,[],[f46314,f69909])).
% 59.37/10.03  tff(f69909,plain,(
% 59.37/10.03    spl2737_1123 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~sP348(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1123])])).
% 59.37/10.03  tff(f46314,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~sP348(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31992])).
% 59.37/10.03  tff(f31992,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : ((vEBT_invar_vebt(X0,X1) | ~sP348(X0,X1)) & (sP348(X0,X1) | ~vEBT_invar_vebt(X0,X1)))),
% 59.37/10.03    inference(nnf_transformation,[],[f27610])).
% 59.37/10.03  tff(f27610,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> sP348(X0,X1))),
% 59.37/10.03    inference(definition_folding,[],[f25518,f27609,f27608,f27607,f27606,f27605,f27604,f27603,f27602,f27601,f27600,f27599,f27598,f27597])).
% 59.37/10.03  tff(f27597,plain,(
% 59.37/10.03    ! [X18 : nat,X17 : nat,X15 : nat,X19 : nat,X14 : list(vEBT_VEBT)] : (sP336(X18,X17,X15,X19,X14) <=> ! [X20 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X20),X18)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X17),X20))) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) | vEBT_VEBT_high(X20,X15) != X19))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP336])])).
% 59.37/10.03  tff(f27598,plain,(
% 59.37/10.03    ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : (sP337(X14,X15,X17,X18) <=> (! [X19 : nat] : ((sP336(X18,X17,X15,X19,X14) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) | X17 = X18))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP337])])).
% 59.37/10.03  tff(f27599,plain,(
% 59.37/10.03    ! [X16 : vEBT_VEBT,X14 : list(vEBT_VEBT),X15 : nat] : (sP338(X16,X14,X15) <=> ! [X23 : nat] : ((? [X24 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X16),X23))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP338])])).
% 59.37/10.03  tff(f27601,plain,(
% 59.37/10.03    ! [X6 : nat,X5 : nat,X3 : nat,X7 : nat,X2 : list(vEBT_VEBT)] : (sP340(X6,X5,X3,X7,X2) <=> ! [X8 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X8),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X8))) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) | vEBT_VEBT_high(X8,X3) != X7))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP340])])).
% 59.37/10.03  tff(f27602,plain,(
% 59.37/10.03    ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : (sP341(X2,X3,X5,X6) <=> (! [X7 : nat] : ((sP340(X6,X5,X3,X7,X2) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) | X5 = X6))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP341])])).
% 59.37/10.03  tff(f27603,plain,(
% 59.37/10.03    ! [X4 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat] : (sP342(X4,X2,X3) <=> ! [X11 : nat] : ((? [X12 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X11))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))))),
% 59.37/10.03    introduced(predicate_definition_introduction,[new_symbols(naming,[sP342])])).
% 59.37/10.03  tff(f25518,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : ((! [X7 : nat] : ((! [X8 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X8),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X8))) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) | vEBT_VEBT_high(X8,X3) != X7) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) | X5 = X6) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X5 != X6) & ! [X11 : nat] : ((? [X12 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X11))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X1,X2,X4) = X0) | ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : ((! [X19 : nat] : ((! [X20 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X20),X18)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X17),X20))) | ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) | vEBT_VEBT_high(X20,X15) != X19) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) | X17 = X18) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X17),X18)) & (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) | X17 != X18) & ! [X23 : nat] : ((? [X24 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X16),X23))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X25),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X17),X18)),X1,X14,X16) = X0) | ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X29),X30)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & ! [X31 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X36),X37)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X36),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & ! [X38 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X35),X38)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (vEBT_invar_vebt(X39,X34) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X39),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0)))),
% 59.37/10.03    inference(flattening,[],[f25517])).
% 59.37/10.03  tff(f25517,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : ((! [X7 : nat] : ((! [X8 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X8),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X8))) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) | vEBT_VEBT_high(X8,X3) != X7)) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) | X5 = X6) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) & (! [X9 : vEBT_VEBT] : (! [X10 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) | X5 != X6) & ! [X11 : nat] : ((? [X12 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X11))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (vEBT_invar_vebt(X13,X3) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X1,X2,X4) = X0) | ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : ((! [X19 : nat] : ((! [X20 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X20),X18)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X17),X20))) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) | vEBT_VEBT_high(X20,X15) != X19)) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) | X17 = X18) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X17),X18)) & (! [X21 : vEBT_VEBT] : (! [X22 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) | X17 != X18) & ! [X23 : nat] : ((? [X24 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X16),X23))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (vEBT_invar_vebt(X25,X15) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X25),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14)))) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X17),X18)),X1,X14,X16) = X0) | ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (! [X30 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X29),X30)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & ! [X31 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (vEBT_invar_vebt(X32,X27) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (! [X37 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X36),X37)) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X36),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & ! [X38 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X35),X38)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (vEBT_invar_vebt(X39,X34) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X39),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33)))) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0)))),
% 59.37/10.03    inference(ennf_transformation,[],[f16453])).
% 59.37/10.03  tff(f16453,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : ((X5 != X6 => ! [X7 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)))) => (! [X8 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X8,X3))) & vEBT_VEBT_high(X8,X3) = X7) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X8),X6)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),X8)))) & (vEBT_VEBT_high(X6,X3) = X7 => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X6),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) & (X5 = X6 => ! [X9 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X9),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => ~? [X10 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X9),X10)))) & ! [X11 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X11),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)))) => (? [X12 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X11)),X12)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X4),X11)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X3),aa(nat,nat,suc,X3)) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3)) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X2) & vEBT_invar_vebt(X4,aa(nat,nat,suc,X3)) & ! [X13 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X13),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X2))) => vEBT_invar_vebt(X13,X3)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X5),X6)),X1,X2,X4) = X0) | ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : ((X17 != X18 => ! [X19 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15))) => (! [X20 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X20,X15))) & vEBT_VEBT_high(X20,X15) = X19) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X20),X18)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X17),X20)))) & (vEBT_VEBT_high(X18,X15) = X19 => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X18),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X17),X18)) & (X17 = X18 => ! [X21 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X21),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) => ~? [X22 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X21),X22)))) & ! [X23 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X23),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15))) => (? [X24 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X23)),X24)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X16),X23)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X15),X15) = X1 & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14) & vEBT_invar_vebt(X16,X15) & ! [X25 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X25),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X14))) => vEBT_invar_vebt(X25,X15)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X17),X18)),X1,X14,X16) = X0) | ? [X26 : list(vEBT_VEBT),X27 : nat,X28 : vEBT_VEBT] : (! [X29 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X29),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) => ~? [X30 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X29),X30))) & ~? [X31 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X28),X31)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X27),aa(nat,nat,suc,X27)) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X26) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X27)) & vEBT_invar_vebt(X28,aa(nat,nat,suc,X27)) & ! [X32 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X32),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X26))) => vEBT_invar_vebt(X32,X27)) & vEBT_Node(none(product_prod(nat,nat)),X1,X26,X28) = X0) | ? [X33 : list(vEBT_VEBT),X34 : nat,X35 : vEBT_VEBT] : (! [X36 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X36),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) => ~? [X37 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X36),X37))) & ~? [X38 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X35),X38)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X34),X34) = X1 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X33) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X34) & vEBT_invar_vebt(X35,X34) & ! [X39 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X39),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X33))) => vEBT_invar_vebt(X39,X34)) & vEBT_Node(none(product_prod(nat,nat)),X1,X33,X35) = X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0)))),
% 59.37/10.03    inference(rectify,[],[f3294])).
% 59.37/10.03  tff(f3294,axiom,(
% 59.37/10.03    ! [X179 : vEBT_VEBT,X180 : nat] : (vEBT_invar_vebt(X179,X180) <=> (? [X195 : list(vEBT_VEBT),X62 : nat,X196 : vEBT_VEBT,X197 : nat,X198 : nat] : ((X197 != X198 => ! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X62)))) => (! [X115 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X195),X29)),vEBT_VEBT_low(X115,X62))) & vEBT_VEBT_high(X115,X62) = X29) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X115),X198)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X197),X115)))) & (vEBT_VEBT_high(X198,X62) = X29 => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X195),X29)),vEBT_VEBT_low(X198,X62))))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X198),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X180))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X197),X198)) & (X197 = X198 => ! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => ~? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X115),X114)))) & ! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X62)))) => (? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X195),X29)),X114)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X196),X29)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X62),aa(nat,nat,suc,X62)) = X180 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X195) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X62)) & vEBT_invar_vebt(X196,aa(nat,nat,suc,X62)) & ! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => vEBT_invar_vebt(X115,X62)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X197),X198)),X180,X195,X196) = X179) | ? [X195 : list(vEBT_VEBT),X62 : nat,X196 : vEBT_VEBT,X197 : nat,X198 : nat] : ((X197 != X198 => ! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62))) => (! [X115 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X195),X29)),vEBT_VEBT_low(X115,X62))) & vEBT_VEBT_high(X115,X62) = X29) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X115),X198)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X197),X115)))) & (vEBT_VEBT_high(X198,X62) = X29 => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X195),X29)),vEBT_VEBT_low(X198,X62))))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X198),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X180))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X197),X198)) & (X197 = X198 => ! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => ~? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X115),X114)))) & ! [X29 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X29),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62))) => (? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X195),X29)),X114)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X196),X29)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X62),X62) = X180 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X195) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62) & vEBT_invar_vebt(X196,X62) & ! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => vEBT_invar_vebt(X115,X62)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),product_Pair(nat,nat,X197),X198)),X180,X195,X196) = X179) | ? [X195 : list(vEBT_VEBT),X62 : nat,X196 : vEBT_VEBT] : (! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => ~? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X115),X114))) & ~? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X196),X114)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X62),aa(nat,nat,suc,X62)) = X180 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X195) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X62)) & vEBT_invar_vebt(X196,aa(nat,nat,suc,X62)) & ! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => vEBT_invar_vebt(X115,X62)) & vEBT_Node(none(product_prod(nat,nat)),X180,X195,X196) = X179) | ? [X195 : list(vEBT_VEBT),X62 : nat,X196 : vEBT_VEBT] : (! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => ~? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X115),X114))) & ~? [X114 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X196),X114)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X62),X62) = X180 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X195) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X62) & vEBT_invar_vebt(X196,X62) & ! [X115 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X115),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X195))) => vEBT_invar_vebt(X115,X62)) & vEBT_Node(none(product_prod(nat,nat)),X180,X195,X196) = X179) | (aa(nat,nat,suc,zero_zero(nat)) = X180 & ? [X74 : bool,X75 : bool] : vEBT_Leaf(X74,X75) = X179)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3293_invar__vebt_Osimps)).
% 59.37/10.03  tff(f69907,plain,(
% 59.37/10.03    spl2737_1122),
% 59.37/10.03    inference(avatar_split_clause,[],[f46313,f69905])).
% 59.37/10.03  tff(f69905,plain,(
% 59.37/10.03    spl2737_1122 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1122])])).
% 59.37/10.03  tff(f46313,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31992])).
% 59.37/10.03  tff(f69903,plain,(
% 59.37/10.03    spl2737_1121),
% 59.37/10.03    inference(avatar_split_clause,[],[f46226,f69901])).
% 59.37/10.03  tff(f69901,plain,(
% 59.37/10.03    spl2737_1121 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP347(X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1121])])).
% 59.37/10.03  tff(f46226,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP347(X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31921])).
% 59.37/10.03  tff(f69899,plain,(
% 59.37/10.03    spl2737_1120),
% 59.37/10.03    inference(avatar_split_clause,[],[f46225,f69897])).
% 59.37/10.03  tff(f69897,plain,(
% 59.37/10.03    spl2737_1120 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP346(X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1120])])).
% 59.37/10.03  tff(f46225,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP346(X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31921])).
% 59.37/10.03  tff(f69895,plain,(
% 59.37/10.03    spl2737_1119),
% 59.37/10.03    inference(avatar_split_clause,[],[f46224,f69893])).
% 59.37/10.03  tff(f69893,plain,(
% 59.37/10.03    spl2737_1119 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP345(X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1119])])).
% 59.37/10.03  tff(f46224,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP345(X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31921])).
% 59.37/10.03  tff(f69891,plain,(
% 59.37/10.03    spl2737_1118),
% 59.37/10.03    inference(avatar_split_clause,[],[f46223,f69889])).
% 59.37/10.03  tff(f69889,plain,(
% 59.37/10.03    spl2737_1118 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP344(X1,X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1118])])).
% 59.37/10.03  tff(f46223,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP348(X0,X1) | ~sP344(X1,X0)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f31921])).
% 59.37/10.03  tff(f69887,plain,(
% 59.37/10.03    spl2737_1117),
% 59.37/10.03    inference(avatar_split_clause,[],[f44964,f69885])).
% 59.37/10.03  tff(f69885,plain,(
% 59.37/10.03    spl2737_1117 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1117])])).
% 59.37/10.03  tff(f44964,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24356])).
% 59.37/10.03  tff(f24356,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15720])).
% 59.37/10.03  tff(f15720,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => vEBT_VEBT_valid(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f241])).
% 59.37/10.03  tff(f241,axiom,(
% 59.37/10.03    ! [X41 : vEBT_VEBT,X53 : nat] : (vEBT_invar_vebt(X41,X53) => vEBT_VEBT_valid(X41,X53))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_valid__eq1)).
% 59.37/10.03  tff(f69883,plain,(
% 59.37/10.03    spl2737_1116),
% 59.37/10.03    inference(avatar_split_clause,[],[f44924,f69881])).
% 59.37/10.03  tff(f69881,plain,(
% 59.37/10.03    spl2737_1116 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1116])])).
% 59.37/10.03  tff(f44924,plain,(
% 59.37/10.03    ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24345])).
% 59.37/10.03  tff(f24345,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15713])).
% 59.37/10.03  tff(f15713,plain,(
% 59.37/10.03    ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => vEBT_invar_vebt(X0,X1))),
% 59.37/10.03    inference(rectify,[],[f240])).
% 59.37/10.03  tff(f240,axiom,(
% 59.37/10.03    ! [X41 : vEBT_VEBT,X53 : nat] : (vEBT_VEBT_valid(X41,X53) => vEBT_invar_vebt(X41,X53))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_valid__eq2)).
% 59.37/10.03  tff(f69879,plain,(
% 59.37/10.03    spl2737_1115),
% 59.37/10.03    inference(avatar_split_clause,[],[f44816,f69877])).
% 59.37/10.03  tff(f69877,plain,(
% 59.37/10.03    spl2737_1115 <=> ! [X1 : $tType,X0 : $tType] : (order(fun(X0,X1)) | ~order(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1115])])).
% 59.37/10.03  tff(f44816,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (order(fun(X0,X1)) | ~order(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24303])).
% 59.37/10.03  tff(f24303,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (order(fun(X0,X1)) | ~order(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15686])).
% 59.37/10.03  tff(f15686,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (order(X1) => order(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9002])).
% 59.37/10.03  tff(f9002,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (order(X359) => order(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder)).
% 59.37/10.03  tff(f69875,plain,(
% 59.37/10.03    spl2737_1114 | ~spl2737_79 | ~spl2737_891),
% 59.37/10.03    inference(avatar_split_clause,[],[f69027,f68621,f64614,f69872])).
% 59.37/10.03  tff(f69872,plain,(
% 59.37/10.03    spl2737_1114 <=> sP30(nat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1114])])).
% 59.37/10.03  tff(f64614,plain,(
% 59.37/10.03    spl2737_79 <=> semiring_gcd(nat)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_79])])).
% 59.37/10.03  tff(f68621,plain,(
% 59.37/10.03    spl2737_891 <=> ! [X0 : $tType] : (sP30(X0) | ~semiring_gcd(X0))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_891])])).
% 59.37/10.03  tff(f69027,plain,(
% 59.37/10.03    sP30(nat) | (~spl2737_79 | ~spl2737_891)),
% 59.37/10.03    inference(resolution,[],[f68622,f64616])).
% 59.37/10.03  tff(f64616,plain,(
% 59.37/10.03    semiring_gcd(nat) | ~spl2737_79),
% 59.37/10.03    inference(avatar_component_clause,[],[f64614])).
% 59.37/10.03  tff(f68622,plain,(
% 59.37/10.03    ( ! [X0 : $tType] : (~semiring_gcd(X0) | sP30(X0)) ) | ~spl2737_891),
% 59.37/10.03    inference(avatar_component_clause,[],[f68621])).
% 59.37/10.03  tff(f69870,plain,(
% 59.37/10.03    spl2737_1113),
% 59.37/10.03    inference(avatar_split_clause,[],[f44801,f69868])).
% 59.37/10.03  tff(f69868,plain,(
% 59.37/10.03    spl2737_1113 <=> ! [X1 : $tType,X0 : $tType] : (ord(fun(X0,X1)) | ~ord(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1113])])).
% 59.37/10.03  tff(f44801,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (ord(fun(X0,X1)) | ~ord(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24295])).
% 59.37/10.03  tff(f24295,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (ord(fun(X0,X1)) | ~ord(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15680])).
% 59.37/10.03  tff(f15680,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (ord(X1) => ord(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9003])).
% 59.37/10.03  tff(f9003,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (ord(X359) => ord(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Orderings_Oord)).
% 59.37/10.03  tff(f69866,plain,(
% 59.37/10.03    spl2737_1112),
% 59.37/10.03    inference(avatar_split_clause,[],[f44800,f69864])).
% 59.37/10.03  tff(f69864,plain,(
% 59.37/10.03    spl2737_1112 <=> ! [X1 : $tType,X0 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1112])])).
% 59.37/10.03  tff(f44800,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24294])).
% 59.37/10.03  tff(f24294,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15679])).
% 59.37/10.03  tff(f15679,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (preorder(X1) => preorder(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9000])).
% 59.37/10.03  tff(f9000,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (preorder(X359) => preorder(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Orderings_Opreorder)).
% 59.37/10.03  tff(f69862,plain,(
% 59.37/10.03    spl2737_1111),
% 59.37/10.03    inference(avatar_split_clause,[],[f44797,f69860])).
% 59.37/10.03  tff(f69860,plain,(
% 59.37/10.03    spl2737_1111 <=> ! [X1 : $tType,X0 : $tType] : (minus(fun(X0,X1)) | ~minus(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1111])])).
% 59.37/10.03  tff(f44797,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (minus(fun(X0,X1)) | ~minus(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24291])).
% 59.37/10.03  tff(f24291,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (minus(fun(X0,X1)) | ~minus(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15676])).
% 59.37/10.03  tff(f15676,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (minus(X1) => minus(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9005])).
% 59.37/10.03  tff(f9005,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (minus(X359) => minus(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Groups_Ominus)).
% 59.37/10.03  tff(f69858,plain,(
% 59.37/10.03    spl2737_1110),
% 59.37/10.03    inference(avatar_split_clause,[],[f44767,f69856])).
% 59.37/10.03  tff(f69856,plain,(
% 59.37/10.03    spl2737_1110 <=> ! [X1 : $tType,X0 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1110])])).
% 59.37/10.03  tff(f44767,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24268])).
% 59.37/10.03  tff(f24268,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15655])).
% 59.37/10.03  tff(f15655,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (semilattice_sup(X1) => semilattice_sup(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f8995])).
% 59.37/10.03  tff(f8995,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (semilattice_sup(X359) => semilattice_sup(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Osemilattice__sup)).
% 59.37/10.03  tff(f69854,plain,(
% 59.37/10.03    spl2737_1109),
% 59.37/10.03    inference(avatar_split_clause,[],[f44764,f69852])).
% 59.37/10.03  tff(f69852,plain,(
% 59.37/10.03    spl2737_1109 <=> ! [X1 : $tType,X0 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1109])])).
% 59.37/10.03  tff(f44764,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24265])).
% 59.37/10.03  tff(f24265,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15652])).
% 59.37/10.03  tff(f15652,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (semilattice_inf(X1) => semilattice_inf(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f8996])).
% 59.37/10.03  tff(f8996,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (semilattice_inf(X359) => semilattice_inf(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Osemilattice__inf)).
% 59.37/10.03  tff(f69850,plain,(
% 59.37/10.03    spl2737_1108),
% 59.37/10.03    inference(avatar_split_clause,[],[f44763,f69848])).
% 59.37/10.03  tff(f69848,plain,(
% 59.37/10.03    spl2737_1108 <=> ! [X1 : $tType,X0 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1108])])).
% 59.37/10.03  tff(f44763,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24264])).
% 59.37/10.03  tff(f24264,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15651])).
% 59.37/10.03  tff(f15651,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (lattice(X1) => lattice(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9001])).
% 59.37/10.03  tff(f9001,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (lattice(X359) => lattice(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Olattice)).
% 59.37/10.03  tff(f69846,plain,(
% 59.37/10.03    spl2737_1107),
% 59.37/10.03    inference(avatar_split_clause,[],[f44762,f69844])).
% 59.37/10.03  tff(f69844,plain,(
% 59.37/10.03    spl2737_1107 <=> ! [X1 : $tType,X0 : $tType] : (distrib_lattice(fun(X0,X1)) | ~distrib_lattice(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1107])])).
% 59.37/10.03  tff(f44762,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (distrib_lattice(fun(X0,X1)) | ~distrib_lattice(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24263])).
% 59.37/10.03  tff(f24263,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (distrib_lattice(fun(X0,X1)) | ~distrib_lattice(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15650])).
% 59.37/10.03  tff(f15650,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (distrib_lattice(X1) => distrib_lattice(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f8997])).
% 59.37/10.03  tff(f8997,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (distrib_lattice(X359) => distrib_lattice(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Odistrib__lattice)).
% 59.37/10.03  tff(f69842,plain,(
% 59.37/10.03    spl2737_1106),
% 59.37/10.03    inference(avatar_split_clause,[],[f44752,f69840])).
% 59.37/10.03  tff(f69840,plain,(
% 59.37/10.03    spl2737_1106 <=> ! [X1 : $tType,X0 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1106])])).
% 59.37/10.03  tff(f44752,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24254])).
% 59.37/10.03  tff(f24254,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15642])).
% 59.37/10.03  tff(f15642,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (uminus(X1) => uminus(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f9004])).
% 59.37/10.03  tff(f9004,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (uminus(X359) => uminus(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Groups_Ouminus)).
% 59.37/10.03  tff(f69838,plain,(
% 59.37/10.03    spl2737_1105),
% 59.37/10.03    inference(avatar_split_clause,[],[f44459,f69836])).
% 59.37/10.03  tff(f69836,plain,(
% 59.37/10.03    spl2737_1105 <=> ! [X1 : $tType,X0 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1105])])).
% 59.37/10.03  tff(f44459,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24029])).
% 59.37/10.03  tff(f24029,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15478])).
% 59.37/10.03  tff(f15478,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (order_bot(X1) => order_bot(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f8999])).
% 59.37/10.03  tff(f8999,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (order_bot(X359) => order_bot(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder__bot)).
% 59.37/10.03  tff(f69834,plain,(
% 59.37/10.03    spl2737_1104),
% 59.37/10.03    inference(avatar_split_clause,[],[f44436,f69832])).
% 59.37/10.03  tff(f69832,plain,(
% 59.37/10.03    spl2737_1104 <=> ! [X1 : $tType,X0 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1104])])).
% 59.37/10.03  tff(f44436,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24007])).
% 59.37/10.03  tff(f24007,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 59.37/10.03    inference(ennf_transformation,[],[f15463])).
% 59.37/10.03  tff(f15463,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(X1) => condit1219197933456340205attice(fun(X0,X1)))),
% 59.37/10.03    inference(rectify,[],[f8985])).
% 59.37/10.03  tff(f8985,axiom,(
% 59.37/10.03    ! [X271 : $tType,X359 : $tType] : (comple6319245703460814977attice(X359) => condit1219197933456340205attice(fun(X271,X359)))),
% 59.37/10.03    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Conditionally__Complete__Lattices_Oconditionally__complete__lattice)).
% 59.37/10.03  tff(f69830,plain,(
% 59.37/10.03    spl2737_1103 | ~spl2737_78 | ~spl2737_891),
% 59.37/10.03    inference(avatar_split_clause,[],[f69026,f68621,f64609,f69827])).
% 59.37/10.03  tff(f69827,plain,(
% 59.37/10.03    spl2737_1103 <=> sP30(int)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1103])])).
% 59.37/10.03  tff(f64609,plain,(
% 59.37/10.03    spl2737_78 <=> semiring_gcd(int)),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_78])])).
% 59.37/10.03  tff(f69026,plain,(
% 59.37/10.03    sP30(int) | (~spl2737_78 | ~spl2737_891)),
% 59.37/10.03    inference(resolution,[],[f68622,f64611])).
% 59.37/10.03  tff(f64611,plain,(
% 59.37/10.03    semiring_gcd(int) | ~spl2737_78),
% 59.37/10.03    inference(avatar_component_clause,[],[f64609])).
% 59.37/10.03  tff(f69825,plain,(
% 59.37/10.03    spl2737_1102),
% 59.37/10.03    inference(avatar_split_clause,[],[f44435,f69823])).
% 59.37/10.03  tff(f69823,plain,(
% 59.37/10.03    spl2737_1102 <=> ! [X1 : $tType,X0 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 59.37/10.03    introduced(avatar_definition,[new_symbols(naming,[spl2737_1102])])).
% 59.37/10.03  tff(f44435,plain,(
% 59.37/10.03    ( ! [X1 : $tType,X0 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1)) )),
% 59.37/10.03    inference(cnf_transformation,[],[f24006])).
% 59.37/10.03  tff(f24006,plain,(
% 59.37/10.03    ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15462])).
% 59.37/10.04  tff(f15462,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(X1) => comple6319245703460814977attice(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8991])).
% 59.37/10.04  tff(f8991,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (comple6319245703460814977attice(X359) => comple6319245703460814977attice(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Complete__Lattices_Ocomplete__lattice)).
% 59.37/10.04  tff(f69821,plain,(
% 59.37/10.04    spl2737_1101),
% 59.37/10.04    inference(avatar_split_clause,[],[f44434,f69819])).
% 59.37/10.04  tff(f69819,plain,(
% 59.37/10.04    spl2737_1101 <=> ! [X1 : $tType,X0 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1101])])).
% 59.37/10.04  tff(f44434,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f24005])).
% 59.37/10.04  tff(f24005,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15461])).
% 59.37/10.04  tff(f15461,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (order_top(X1) => order_top(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8998])).
% 59.37/10.04  tff(f8998,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (order_top(X359) => order_top(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder__top)).
% 59.37/10.04  tff(f69817,plain,(
% 59.37/10.04    spl2737_1100),
% 59.37/10.04    inference(avatar_split_clause,[],[f44433,f69815])).
% 59.37/10.04  tff(f69815,plain,(
% 59.37/10.04    spl2737_1100 <=> ! [X1 : $tType,X0 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1100])])).
% 59.37/10.04  tff(f44433,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f24004])).
% 59.37/10.04  tff(f24004,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15460])).
% 59.37/10.04  tff(f15460,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (counta3822494911875563373attice(X1) => counta3822494911875563373attice(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8986])).
% 59.37/10.04  tff(f8986,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (counta3822494911875563373attice(X359) => counta3822494911875563373attice(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Countable__Complete__Lattices_Ocountable__complete__lattice)).
% 59.37/10.04  tff(f69813,plain,(
% 59.37/10.04    spl2737_1099),
% 59.37/10.04    inference(avatar_split_clause,[],[f44428,f69811])).
% 59.37/10.04  tff(f69811,plain,(
% 59.37/10.04    spl2737_1099 <=> ! [X1 : $tType,X0 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1099])])).
% 59.37/10.04  tff(f44428,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23999])).
% 59.37/10.04  tff(f23999,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15457])).
% 59.37/10.04  tff(f15457,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounde4967611905675639751up_bot(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8989])).
% 59.37/10.04  tff(f8989,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (bounded_lattice(X359) => bounde4967611905675639751up_bot(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__semilattice__sup__bot)).
% 59.37/10.04  tff(f69809,plain,(
% 59.37/10.04    spl2737_1098),
% 59.37/10.04    inference(avatar_split_clause,[],[f44427,f69807])).
% 59.37/10.04  tff(f69807,plain,(
% 59.37/10.04    spl2737_1098 <=> ! [X1 : $tType,X0 : $tType] : (bounde4346867609351753570nf_top(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1098])])).
% 59.37/10.04  tff(f44427,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (bounde4346867609351753570nf_top(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23998])).
% 59.37/10.04  tff(f23998,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounde4346867609351753570nf_top(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15456])).
% 59.37/10.04  tff(f15456,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounde4346867609351753570nf_top(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8990])).
% 59.37/10.04  tff(f8990,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (bounded_lattice(X359) => bounde4346867609351753570nf_top(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__semilattice__inf__top)).
% 59.37/10.04  tff(f69805,plain,(
% 59.37/10.04    spl2737_1097),
% 59.37/10.04    inference(avatar_split_clause,[],[f44426,f69803])).
% 59.37/10.04  tff(f69803,plain,(
% 59.37/10.04    spl2737_1097 <=> ! [X1 : $tType,X0 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1097])])).
% 59.37/10.04  tff(f44426,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23997])).
% 59.37/10.04  tff(f23997,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15455])).
% 59.37/10.04  tff(f15455,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounded_lattice(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8984])).
% 59.37/10.04  tff(f8984,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (bounded_lattice(X359) => bounded_lattice(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__lattice_5)).
% 59.37/10.04  tff(f69801,plain,(
% 59.37/10.04    spl2737_1096),
% 59.37/10.04    inference(avatar_split_clause,[],[f44425,f69799])).
% 59.37/10.04  tff(f69799,plain,(
% 59.37/10.04    spl2737_1096 <=> ! [X1 : $tType,X0 : $tType] : (bounded_lattice_top(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1096])])).
% 59.37/10.04  tff(f44425,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (bounded_lattice_top(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23996])).
% 59.37/10.04  tff(f23996,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice_top(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15454])).
% 59.37/10.04  tff(f15454,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounded_lattice_top(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8993])).
% 59.37/10.04  tff(f8993,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (bounded_lattice(X359) => bounded_lattice_top(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__lattice__top)).
% 59.37/10.04  tff(f69797,plain,(
% 59.37/10.04    spl2737_1095),
% 59.37/10.04    inference(avatar_split_clause,[],[f44424,f69795])).
% 59.37/10.04  tff(f69795,plain,(
% 59.37/10.04    spl2737_1095 <=> ! [X1 : $tType,X0 : $tType] : (bounded_lattice_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1095])])).
% 59.37/10.04  tff(f44424,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (bounded_lattice_bot(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23995])).
% 59.37/10.04  tff(f23995,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15453])).
% 59.37/10.04  tff(f15453,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounded_lattice_bot(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8994])).
% 59.37/10.04  tff(f8994,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (bounded_lattice(X359) => bounded_lattice_bot(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__lattice__bot)).
% 59.37/10.04  tff(f69793,plain,(
% 59.37/10.04    spl2737_1094),
% 59.37/10.04    inference(avatar_split_clause,[],[f44390,f69791])).
% 59.37/10.04  tff(f69791,plain,(
% 59.37/10.04    spl2737_1094 <=> ! [X1 : $tType,X0 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1094])])).
% 59.37/10.04  tff(f44390,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23964])).
% 59.37/10.04  tff(f23964,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15425])).
% 59.37/10.04  tff(f15425,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (comple592849572758109894attice(X1) => comple592849572758109894attice(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8987])).
% 59.37/10.04  tff(f8987,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (comple592849572758109894attice(X359) => comple592849572758109894attice(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Complete__Lattices_Ocomplete__distrib__lattice)).
% 59.37/10.04  tff(f69789,plain,(
% 59.37/10.04    spl2737_1093),
% 59.37/10.04    inference(avatar_split_clause,[],[f44334,f69787])).
% 59.37/10.04  tff(f69787,plain,(
% 59.37/10.04    spl2737_1093 <=> ! [X1 : $tType,X0 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1093])])).
% 59.37/10.04  tff(f44334,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23926])).
% 59.37/10.04  tff(f23926,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15398])).
% 59.37/10.04  tff(f15398,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (boolea8198339166811842893lgebra(X1) => boolea8198339166811842893lgebra(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8992])).
% 59.37/10.04  tff(f8992,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (boolea8198339166811842893lgebra(X359) => boolea8198339166811842893lgebra(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Boolean__Algebras_Oboolean__algebra)).
% 59.37/10.04  tff(f69785,plain,(
% 59.37/10.04    spl2737_1092 | ~spl2737_79 | ~spl2737_890),
% 59.37/10.04    inference(avatar_split_clause,[],[f69025,f68617,f64614,f69782])).
% 59.37/10.04  tff(f69782,plain,(
% 59.37/10.04    spl2737_1092 <=> sP28(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1092])])).
% 59.37/10.04  tff(f68617,plain,(
% 59.37/10.04    spl2737_890 <=> ! [X0 : $tType] : (sP28(X0) | ~semiring_gcd(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_890])])).
% 59.37/10.04  tff(f69025,plain,(
% 59.37/10.04    sP28(nat) | (~spl2737_79 | ~spl2737_890)),
% 59.37/10.04    inference(resolution,[],[f68618,f64616])).
% 59.37/10.04  tff(f68618,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~semiring_gcd(X0) | sP28(X0)) ) | ~spl2737_890),
% 59.37/10.04    inference(avatar_component_clause,[],[f68617])).
% 59.37/10.04  tff(f69780,plain,(
% 59.37/10.04    spl2737_1091),
% 59.37/10.04    inference(avatar_split_clause,[],[f44318,f69778])).
% 59.37/10.04  tff(f69778,plain,(
% 59.37/10.04    spl2737_1091 <=> ! [X1 : $tType,X0 : $tType] : (comple489889107523837845lgebra(fun(X0,X1)) | ~comple489889107523837845lgebra(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1091])])).
% 59.37/10.04  tff(f44318,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (comple489889107523837845lgebra(fun(X0,X1)) | ~comple489889107523837845lgebra(X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f23910])).
% 59.37/10.04  tff(f23910,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (comple489889107523837845lgebra(fun(X0,X1)) | ~comple489889107523837845lgebra(X1))),
% 59.37/10.04    inference(ennf_transformation,[],[f15384])).
% 59.37/10.04  tff(f15384,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (comple489889107523837845lgebra(X1) => comple489889107523837845lgebra(fun(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f8988])).
% 59.37/10.04  tff(f8988,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : (comple489889107523837845lgebra(X359) => comple489889107523837845lgebra(fun(X271,X359)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_fun___Complete__Lattices_Ocomplete__boolean__algebra)).
% 59.37/10.04  tff(f69776,plain,(
% 59.37/10.04    spl2737_1090),
% 59.37/10.04    inference(avatar_split_clause,[],[f44175,f69774])).
% 59.37/10.04  tff(f69774,plain,(
% 59.37/10.04    spl2737_1090 <=> ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(fconj(X0,X1)))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1090])])).
% 59.37/10.04  tff(f44175,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(fconj(X0,X1))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f15286])).
% 59.37/10.04  tff(f15286,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(fconj(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f9882])).
% 59.37/10.04  tff(f9882,axiom,(
% 59.37/10.04    ! [X17 : bool,X31 : bool] : (pp(X31) | ~pp(fconj(X17,X31)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_3_1_U)).
% 59.37/10.04  tff(f69772,plain,(
% 59.37/10.04    spl2737_1089),
% 59.37/10.04    inference(avatar_split_clause,[],[f44174,f69770])).
% 59.37/10.04  tff(f69770,plain,(
% 59.37/10.04    spl2737_1089 <=> ! [X0 : bool,X1 : bool] : (pp(X0) | ~pp(fconj(X0,X1)))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1089])])).
% 59.37/10.04  tff(f44174,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : bool] : (pp(X0) | ~pp(fconj(X0,X1))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f15285])).
% 59.37/10.04  tff(f15285,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : bool] : (pp(X0) | ~pp(fconj(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f9883])).
% 59.37/10.04  tff(f9883,axiom,(
% 59.37/10.04    ! [X17 : bool,X31 : bool] : (pp(X17) | ~pp(fconj(X17,X31)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fconj_2_1_U)).
% 59.37/10.04  tff(f69768,plain,(
% 59.37/10.04    spl2737_1088),
% 59.37/10.04    inference(avatar_split_clause,[],[f44170,f69766])).
% 59.37/10.04  tff(f69766,plain,(
% 59.37/10.04    spl2737_1088 <=> ! [X0 : bool,X1 : bool] : (pp(fdisj(X0,X1)) | ~pp(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1088])])).
% 59.37/10.04  tff(f44170,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : bool] : (pp(fdisj(X0,X1)) | ~pp(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f15281])).
% 59.37/10.04  tff(f15281,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : bool] : (pp(fdisj(X0,X1)) | ~pp(X0))),
% 59.37/10.04    inference(rectify,[],[f9887])).
% 59.37/10.04  tff(f9887,axiom,(
% 59.37/10.04    ! [X17 : bool,X31 : bool] : (pp(fdisj(X17,X31)) | ~pp(X17))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_1_1_U)).
% 59.37/10.04  tff(f69764,plain,(
% 59.37/10.04    spl2737_1087),
% 59.37/10.04    inference(avatar_split_clause,[],[f44169,f69762])).
% 59.37/10.04  tff(f69762,plain,(
% 59.37/10.04    spl2737_1087 <=> ! [X0 : bool,X1 : bool] : (pp(fdisj(X1,X0)) | ~pp(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1087])])).
% 59.37/10.04  tff(f44169,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : bool] : (pp(fdisj(X1,X0)) | ~pp(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f15280])).
% 59.37/10.04  tff(f15280,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : bool] : (pp(fdisj(X1,X0)) | ~pp(X0))),
% 59.37/10.04    inference(rectify,[],[f9886])).
% 59.37/10.04  tff(f9886,axiom,(
% 59.37/10.04    ! [X31 : bool,X17 : bool] : (pp(fdisj(X17,X31)) | ~pp(X31))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fdisj_2_1_U)).
% 59.37/10.04  tff(f69760,plain,(
% 59.37/10.04    spl2737_1086),
% 59.37/10.04    inference(avatar_split_clause,[],[f43498,f69758])).
% 59.37/10.04  tff(f69758,plain,(
% 59.37/10.04    spl2737_1086 <=> ! [X0 : rat] : algebr8660921524188924756oprime(int,sK1309(X0),sK1310(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1086])])).
% 59.37/10.04  tff(f43498,plain,(
% 59.37/10.04    ( ! [X0 : rat] : (algebr8660921524188924756oprime(int,sK1309(X0),sK1310(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f30739])).
% 59.37/10.04  tff(f69756,plain,(
% 59.37/10.04    spl2737_1085),
% 59.37/10.04    inference(avatar_split_clause,[],[f43001,f69754])).
% 59.37/10.04  tff(f69754,plain,(
% 59.37/10.04    spl2737_1085 <=> ! [X0 : $tType] : (sP238(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1085])])).
% 59.37/10.04  tff(f43001,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP238(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27445])).
% 59.37/10.04  tff(f27445,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP238(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f23369,f27444,f27443])).
% 59.37/10.04  tff(f27443,plain,(
% 59.37/10.04    ! [X1 : fun(X0,bool),X0 : $tType,X2 : X0] : (sP237(X0,X1,X2) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP237])])).
% 59.37/10.04  tff(f23369,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)))) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(flattening,[],[f23368])).
% 59.37/10.04  tff(f23368,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : ((pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)))) | (~topolo1944317154257567458pology(X0) | ~linordered_field(X0)))),
% 59.37/10.04    inference(ennf_transformation,[],[f14421])).
% 59.37/10.04  tff(f14421,plain,(
% 59.37/10.04    ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_lessThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X2)) => pp(aa(X0,bool,X1,X4)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)))))),
% 59.37/10.04    inference(rectify,[],[f6002])).
% 59.37/10.04  tff(f6002,axiom,(
% 59.37/10.04    ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X17 : fun(X0,bool),X14 : X0] : (eventually(X0,X17,topolo174197925503356063within(X0,X14,set_ord_lessThan(X0,X14))) <=> ? [X75 : X0] : (! [X145 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X75),X145)) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X145),X14)) => pp(aa(X0,bool,X17,X145)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X75),X14)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6001_eventually__at__left__field)).
% 59.37/10.04  tff(f69752,plain,(
% 59.37/10.04    spl2737_1084),
% 59.37/10.04    inference(avatar_split_clause,[],[f42993,f69750])).
% 59.37/10.04  tff(f69750,plain,(
% 59.37/10.04    spl2737_1084 <=> ! [X0 : $tType] : (sP236(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1084])])).
% 59.37/10.04  tff(f42993,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP236(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27442])).
% 59.37/10.04  tff(f27442,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP236(X0) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f23367,f27441,f27440])).
% 59.37/10.04  tff(f27440,plain,(
% 59.37/10.04    ! [X1 : fun(X0,bool),X0 : $tType,X2 : X0] : (sP235(X0,X1,X2) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP235])])).
% 59.37/10.04  tff(f23367,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)))) | ~topolo1944317154257567458pology(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(flattening,[],[f23366])).
% 59.37/10.04  tff(f23366,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : ((pp(aa(X0,bool,X1,X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)))) | (~topolo1944317154257567458pology(X0) | ~linordered_field(X0)))),
% 59.37/10.04    inference(ennf_transformation,[],[f14420])).
% 59.37/10.04  tff(f14420,plain,(
% 59.37/10.04    ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X1 : fun(X0,bool),X2 : X0] : (eventually(X0,X1,topolo174197925503356063within(X0,X2,set_ord_greaterThan(X0,X2))) <=> ? [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) => pp(aa(X0,bool,X1,X4)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)))))),
% 59.37/10.04    inference(rectify,[],[f6084])).
% 59.37/10.04  tff(f6084,axiom,(
% 59.37/10.04    ! [X0 : $tType] : ((topolo1944317154257567458pology(X0) & linordered_field(X0)) => ! [X17 : fun(X0,bool),X14 : X0] : (eventually(X0,X17,topolo174197925503356063within(X0,X14,set_ord_greaterThan(X0,X14))) <=> ? [X75 : X0] : (! [X145 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X14),X145)) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X145),X75)) => pp(aa(X0,bool,X17,X145)))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X14),X75)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6083_eventually__at__right__field)).
% 59.37/10.04  tff(f69748,plain,(
% 59.37/10.04    spl2737_1083),
% 59.37/10.04    inference(avatar_split_clause,[],[f42227,f69746])).
% 59.37/10.04  tff(f69746,plain,(
% 59.37/10.04    spl2737_1083 <=> ! [X0 : $tType] : (transp(X0,ord_less(X0)) | ~preorder(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1083])])).
% 59.37/10.04  tff(f42227,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (transp(X0,ord_less(X0)) | ~preorder(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f22528])).
% 59.37/10.04  tff(f22528,plain,(
% 59.37/10.04    ! [X0 : $tType] : (transp(X0,ord_less(X0)) | ~preorder(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f7068])).
% 59.37/10.04  tff(f7068,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (preorder(X0) => transp(X0,ord_less(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7067_transp__less)).
% 59.37/10.04  tff(f69744,plain,(
% 59.37/10.04    spl2737_1082),
% 59.37/10.04    inference(avatar_split_clause,[],[f41896,f69742])).
% 59.37/10.04  tff(f69742,plain,(
% 59.37/10.04    spl2737_1082 <=> ! [X0 : $tType] : (semigroup(X0,ord_max(X0)) | ~linorder(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1082])])).
% 59.37/10.04  tff(f41896,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,ord_max(X0)) | ~linorder(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f22315])).
% 59.37/10.04  tff(f22315,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,ord_max(X0)) | ~linorder(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8054])).
% 59.37/10.04  tff(f8054,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linorder(X0) => semigroup(X0,ord_max(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8053_max_Osemigroup__axioms)).
% 59.37/10.04  tff(f69740,plain,(
% 59.37/10.04    spl2737_1081 | ~spl2737_78 | ~spl2737_890),
% 59.37/10.04    inference(avatar_split_clause,[],[f69024,f68617,f64609,f69737])).
% 59.37/10.04  tff(f69737,plain,(
% 59.37/10.04    spl2737_1081 <=> sP28(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1081])])).
% 59.37/10.04  tff(f69024,plain,(
% 59.37/10.04    sP28(int) | (~spl2737_78 | ~spl2737_890)),
% 59.37/10.04    inference(resolution,[],[f68618,f64611])).
% 59.37/10.04  tff(f69735,plain,(
% 59.37/10.04    spl2737_1080),
% 59.37/10.04    inference(avatar_split_clause,[],[f41895,f69733])).
% 59.37/10.04  tff(f69733,plain,(
% 59.37/10.04    spl2737_1080 <=> ! [X0 : $tType] : (semigroup(X0,ord_min(X0)) | ~linorder(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1080])])).
% 59.37/10.04  tff(f41895,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,ord_min(X0)) | ~linorder(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f22314])).
% 59.37/10.04  tff(f22314,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,ord_min(X0)) | ~linorder(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8059])).
% 59.37/10.04  tff(f8059,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linorder(X0) => semigroup(X0,ord_min(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8058_min_Osemigroup__axioms)).
% 59.37/10.04  tff(f69731,plain,(
% 59.37/10.04    spl2737_1079),
% 59.37/10.04    inference(avatar_split_clause,[],[f41826,f69729])).
% 59.37/10.04  tff(f69729,plain,(
% 59.37/10.04    spl2737_1079 <=> ! [X0 : $tType] : (semigroup(X0,sup_sup(X0)) | ~semilattice_sup(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1079])])).
% 59.37/10.04  tff(f41826,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,sup_sup(X0)) | ~semilattice_sup(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f22256])).
% 59.37/10.04  tff(f22256,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,sup_sup(X0)) | ~semilattice_sup(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8062])).
% 59.37/10.04  tff(f8062,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semilattice_sup(X0) => semigroup(X0,sup_sup(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8061_sup_Osemigroup__axioms)).
% 59.37/10.04  tff(f69727,plain,(
% 59.37/10.04    spl2737_1078),
% 59.37/10.04    inference(avatar_split_clause,[],[f41761,f69725])).
% 59.37/10.04  tff(f69725,plain,(
% 59.37/10.04    spl2737_1078 <=> ! [X0 : $tType] : (semigroup(X0,inf_inf(X0)) | ~semilattice_inf(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1078])])).
% 59.37/10.04  tff(f41761,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,inf_inf(X0)) | ~semilattice_inf(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f22201])).
% 59.37/10.04  tff(f22201,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,inf_inf(X0)) | ~semilattice_inf(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8052])).
% 59.37/10.04  tff(f8052,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semilattice_inf(X0) => semigroup(X0,inf_inf(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8051_inf_Osemigroup__axioms)).
% 59.37/10.04  tff(f69723,plain,(
% 59.37/10.04    spl2737_1077),
% 59.37/10.04    inference(avatar_split_clause,[],[f41721,f69721])).
% 59.37/10.04  tff(f69721,plain,(
% 59.37/10.04    spl2737_1077 <=> ! [X0 : $tType] : (semigroup(X0,plus_plus(X0)) | ~semigroup_add(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1077])])).
% 59.37/10.04  tff(f41721,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,plus_plus(X0)) | ~semigroup_add(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f22161])).
% 59.37/10.04  tff(f22161,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,plus_plus(X0)) | ~semigroup_add(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8064])).
% 59.37/10.04  tff(f8064,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup_add(X0) => semigroup(X0,plus_plus(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8063_add_Osemigroup__axioms)).
% 59.37/10.04  tff(f69719,plain,(
% 59.37/10.04    spl2737_1076),
% 59.37/10.04    inference(avatar_split_clause,[],[f41293,f69717])).
% 59.37/10.04  tff(f69717,plain,(
% 59.37/10.04    spl2737_1076 <=> ! [X0 : $tType] : (semigroup(X0,times_times(X0)) | ~semigroup_mult(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1076])])).
% 59.37/10.04  tff(f41293,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,times_times(X0)) | ~semigroup_mult(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f21795])).
% 59.37/10.04  tff(f21795,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,times_times(X0)) | ~semigroup_mult(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8049])).
% 59.37/10.04  tff(f8049,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup_mult(X0) => semigroup(X0,times_times(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8048_mult_Osemigroup__axioms)).
% 59.37/10.04  tff(f69715,plain,(
% 59.37/10.04    spl2737_1075),
% 59.37/10.04    inference(avatar_split_clause,[],[f40711,f69713])).
% 59.37/10.04  tff(f69713,plain,(
% 59.37/10.04    spl2737_1075 <=> ! [X0 : $tType] : (ring_1_iszero(X0,zero_zero(X0)) | ~ring_1(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1075])])).
% 59.37/10.04  tff(f40711,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (ring_1_iszero(X0,zero_zero(X0)) | ~ring_1(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f21243])).
% 59.37/10.04  tff(f21243,plain,(
% 59.37/10.04    ! [X0 : $tType] : (ring_1_iszero(X0,zero_zero(X0)) | ~ring_1(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f4793])).
% 59.37/10.04  tff(f4793,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (ring_1(X0) => ring_1_iszero(X0,zero_zero(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4792_iszero__0)).
% 59.37/10.04  tff(f69711,plain,(
% 59.37/10.04    spl2737_1074),
% 59.37/10.04    inference(avatar_split_clause,[],[f40710,f69709])).
% 59.37/10.04  tff(f69709,plain,(
% 59.37/10.04    spl2737_1074 <=> ! [X0 : $tType] : (~ring_1_iszero(X0,one_one(X0)) | ~ring_1(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1074])])).
% 59.37/10.04  tff(f40710,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~ring_1_iszero(X0,one_one(X0)) | ~ring_1(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f21242])).
% 59.37/10.04  tff(f21242,plain,(
% 59.37/10.04    ! [X0 : $tType] : (~ring_1_iszero(X0,one_one(X0)) | ~ring_1(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f4791])).
% 59.37/10.04  tff(f4791,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (ring_1(X0) => ~ring_1_iszero(X0,one_one(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4790_not__iszero__1)).
% 59.37/10.04  tff(f69707,plain,(
% 59.37/10.04    spl2737_1073),
% 59.37/10.04    inference(avatar_split_clause,[],[f40684,f69705])).
% 59.37/10.04  tff(f69705,plain,(
% 59.37/10.04    spl2737_1073 <=> ! [X1 : $tType,X0 : X1] : (sP192(X1,X0) | ~sP191(X1,X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1073])])).
% 59.37/10.04  tff(f40684,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : X1] : (sP192(X1,X0) | ~sP191(X1,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f29529])).
% 59.37/10.04  tff(f69703,plain,(
% 59.37/10.04    spl2737_1072),
% 59.37/10.04    inference(avatar_split_clause,[],[f40623,f69701])).
% 59.37/10.04  tff(f69701,plain,(
% 59.37/10.04    spl2737_1072 <=> ! [X0 : $tType] : (neg_numeral_is_num(X0,one_one(X0)) | ~neg_numeral(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1072])])).
% 59.37/10.04  tff(f40623,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (neg_numeral_is_num(X0,one_one(X0)) | ~neg_numeral(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f21166])).
% 59.37/10.04  tff(f21166,plain,(
% 59.37/10.04    ! [X0 : $tType] : (neg_numeral_is_num(X0,one_one(X0)) | ~neg_numeral(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f7764])).
% 59.37/10.04  tff(f7764,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (neg_numeral(X0) => neg_numeral_is_num(X0,one_one(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7763_is__num__normalize_I4_J)).
% 59.37/10.04  tff(f69699,plain,(
% 59.37/10.04    spl2737_1071),
% 59.37/10.04    inference(avatar_split_clause,[],[f37226,f69697])).
% 59.37/10.04  tff(f69697,plain,(
% 59.37/10.04    spl2737_1071 <=> ! [X0 : $tType] : (semigroup(X0,gcd_gcd(X0)) | ~semiring_gcd(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1071])])).
% 59.37/10.04  tff(f37226,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,gcd_gcd(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f18991])).
% 59.37/10.04  tff(f18991,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,gcd_gcd(X0)) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8053])).
% 59.37/10.04  tff(f8053,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semiring_gcd(X0) => semigroup(X0,gcd_gcd(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8052_gcd_Osemigroup__axioms)).
% 59.37/10.04  tff(f69695,plain,(
% 59.37/10.04    spl2737_1070 | ~spl2737_77 | ~spl2737_889),
% 59.37/10.04    inference(avatar_split_clause,[],[f69023,f68613,f64604,f69692])).
% 59.37/10.04  tff(f69692,plain,(
% 59.37/10.04    spl2737_1070 <=> sP26(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1070])])).
% 59.37/10.04  tff(f64604,plain,(
% 59.37/10.04    spl2737_77 <=> real_V4867850818363320053vector(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_77])])).
% 59.37/10.04  tff(f68613,plain,(
% 59.37/10.04    spl2737_889 <=> ! [X0 : $tType] : (sP26(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_889])])).
% 59.37/10.04  tff(f69023,plain,(
% 59.37/10.04    sP26(real) | (~spl2737_77 | ~spl2737_889)),
% 59.37/10.04    inference(resolution,[],[f68614,f64606])).
% 59.37/10.04  tff(f64606,plain,(
% 59.37/10.04    real_V4867850818363320053vector(real) | ~spl2737_77),
% 59.37/10.04    inference(avatar_component_clause,[],[f64604])).
% 59.37/10.04  tff(f68614,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP26(X0)) ) | ~spl2737_889),
% 59.37/10.04    inference(avatar_component_clause,[],[f68613])).
% 59.37/10.04  tff(f69690,plain,(
% 59.37/10.04    spl2737_1069),
% 59.37/10.04    inference(avatar_split_clause,[],[f37225,f69688])).
% 59.37/10.04  tff(f69688,plain,(
% 59.37/10.04    spl2737_1069 <=> ! [X0 : $tType] : (semigroup(X0,gcd_lcm(X0)) | ~semiring_gcd(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1069])])).
% 59.37/10.04  tff(f37225,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semigroup(X0,gcd_lcm(X0)) | ~semiring_gcd(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f18990])).
% 59.37/10.04  tff(f18990,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semigroup(X0,gcd_lcm(X0)) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f8050])).
% 59.37/10.04  tff(f8050,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semiring_gcd(X0) => semigroup(X0,gcd_lcm(X0)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8049_lcm_Osemigroup__axioms)).
% 59.37/10.04  tff(f69686,plain,(
% 59.37/10.04    spl2737_1068),
% 59.37/10.04    inference(avatar_split_clause,[],[f37109,f69684])).
% 59.37/10.04  tff(f69684,plain,(
% 59.37/10.04    spl2737_1068 <=> ! [X1 : $tType,X0 : set(X1)] : (sP16(X1,X0) | ~sP17(X1,X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1068])])).
% 59.37/10.04  tff(f37109,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : set(X1)] : (sP16(X1,X0) | ~sP17(X1,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f28266])).
% 59.37/10.04  tff(f69682,plain,(
% 59.37/10.04    spl2737_1067),
% 59.37/10.04    inference(avatar_split_clause,[],[f36395,f69680])).
% 59.37/10.04  tff(f69680,plain,(
% 59.37/10.04    spl2737_1067 <=> ! [X0 : bool] : (fFalse = X0 | fTrue = X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1067])])).
% 59.37/10.04  tff(f36395,plain,(
% 59.37/10.04    ( ! [X0 : bool] : (fFalse = X0 | fTrue = X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f10517])).
% 59.37/10.04  tff(f10517,plain,(
% 59.37/10.04    ! [X0 : bool] : (fFalse = X0 | fTrue = X0)),
% 59.37/10.04    inference(rectify,[],[f9888])).
% 59.37/10.04  tff(f9888,axiom,(
% 59.37/10.04    ! [X17 : bool] : (fFalse = X17 | fTrue = X17)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T)).
% 59.37/10.04  tff(f69678,plain,(
% 59.37/10.04    spl2737_1066),
% 59.37/10.04    inference(avatar_split_clause,[],[f35783,f69676])).
% 59.37/10.04  tff(f69676,plain,(
% 59.37/10.04    spl2737_1066 <=> ! [X0 : set(list(nat))] : inj_on(list(nat),nat,nat_list_encode,X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1066])])).
% 59.37/10.04  tff(f35783,plain,(
% 59.37/10.04    ( ! [X0 : set(list(nat))] : (inj_on(list(nat),nat,nat_list_encode,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9953])).
% 59.37/10.04  tff(f9953,plain,(
% 59.37/10.04    ! [X0 : set(list(nat))] : inj_on(list(nat),nat,nat_list_encode,X0)),
% 59.37/10.04    inference(rectify,[],[f6201])).
% 59.37/10.04  tff(f6201,axiom,(
% 59.37/10.04    ! [X30 : set(list(nat))] : inj_on(list(nat),nat,nat_list_encode,X30)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6200_inj__list__encode)).
% 59.37/10.04  tff(f69674,plain,(
% 59.37/10.04    spl2737_1065),
% 59.37/10.04    inference(avatar_split_clause,[],[f35782,f69672])).
% 59.37/10.04  tff(f69672,plain,(
% 59.37/10.04    spl2737_1065 <=> ! [X0 : set(nat)] : inj_on(nat,list(nat),nat_list_decode,X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1065])])).
% 59.37/10.04  tff(f35782,plain,(
% 59.37/10.04    ( ! [X0 : set(nat)] : (inj_on(nat,list(nat),nat_list_decode,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9952])).
% 59.37/10.04  tff(f9952,plain,(
% 59.37/10.04    ! [X0 : set(nat)] : inj_on(nat,list(nat),nat_list_decode,X0)),
% 59.37/10.04    inference(rectify,[],[f7129])).
% 59.37/10.04  tff(f7129,axiom,(
% 59.37/10.04    ! [X30 : set(nat)] : inj_on(nat,list(nat),nat_list_decode,X30)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7128_inj__list__decode)).
% 59.37/10.04  tff(f69670,plain,(
% 59.37/10.04    spl2737_1064),
% 59.37/10.04    inference(avatar_split_clause,[],[f35780,f69668])).
% 59.37/10.04  tff(f69668,plain,(
% 59.37/10.04    spl2737_1064 <=> ! [X0 : nat] : one_one(nat) = euclid7384307370059645450egment(nat,X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1064])])).
% 59.37/10.04  tff(f35780,plain,(
% 59.37/10.04    ( ! [X0 : nat] : (one_one(nat) = euclid7384307370059645450egment(nat,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9950])).
% 59.37/10.04  tff(f9950,plain,(
% 59.37/10.04    ! [X0 : nat] : one_one(nat) = euclid7384307370059645450egment(nat,X0)),
% 59.37/10.04    inference(rectify,[],[f7043])).
% 59.37/10.04  tff(f7043,axiom,(
% 59.37/10.04    ! [X8 : nat] : one_one(nat) = euclid7384307370059645450egment(nat,X8)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7042_division__segment__nat__def)).
% 59.37/10.04  tff(f69666,plain,(
% 59.37/10.04    spl2737_1063),
% 59.37/10.04    inference(avatar_split_clause,[],[f35416,f69663])).
% 59.37/10.04  tff(f69663,plain,(
% 59.37/10.04    spl2737_1063 <=> zero_zero(real) = im(one_one(complex))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1063])])).
% 59.37/10.04  tff(f35416,plain,(
% 59.37/10.04    zero_zero(real) = im(one_one(complex))),
% 59.37/10.04    inference(cnf_transformation,[],[f4738])).
% 59.37/10.04  tff(f4738,axiom,(
% 59.37/10.04    zero_zero(real) = im(one_one(complex))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4737_one__complex_Osimps_I2_J)).
% 59.37/10.04  tff(f69661,plain,(
% 59.37/10.04    spl2737_1062),
% 59.37/10.04    inference(avatar_split_clause,[],[f35414,f69658])).
% 59.37/10.04  tff(f69658,plain,(
% 59.37/10.04    spl2737_1062 <=> numeral_numeral(nat) = nat_of_num),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1062])])).
% 59.37/10.04  tff(f69656,plain,(
% 59.37/10.04    spl2737_1061),
% 59.37/10.04    inference(avatar_split_clause,[],[f35413,f69653])).
% 59.37/10.04  tff(f69653,plain,(
% 59.37/10.04    spl2737_1061 <=> numeral_numeral(int) = pos),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1061])])).
% 59.37/10.04  tff(f69651,plain,(
% 59.37/10.04    spl2737_1060),
% 59.37/10.04    inference(avatar_split_clause,[],[f35407,f69648])).
% 59.37/10.04  tff(f69648,plain,(
% 59.37/10.04    spl2737_1060 <=> one_one(extended_enat) = extended_enat2(one_one(nat))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1060])])).
% 59.37/10.04  tff(f35407,plain,(
% 59.37/10.04    one_one(extended_enat) = extended_enat2(one_one(nat))),
% 59.37/10.04    inference(cnf_transformation,[],[f7199])).
% 59.37/10.04  tff(f7199,axiom,(
% 59.37/10.04    one_one(extended_enat) = extended_enat2(one_one(nat))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7198_one__enat__def)).
% 59.37/10.04  tff(f69646,plain,(
% 59.37/10.04    spl2737_1059 | ~spl2737_76 | ~spl2737_889),
% 59.37/10.04    inference(avatar_split_clause,[],[f69022,f68613,f64599,f69643])).
% 59.37/10.04  tff(f69643,plain,(
% 59.37/10.04    spl2737_1059 <=> sP26(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1059])])).
% 59.37/10.04  tff(f64599,plain,(
% 59.37/10.04    spl2737_76 <=> real_V4867850818363320053vector(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_76])])).
% 59.37/10.04  tff(f69022,plain,(
% 59.37/10.04    sP26(complex) | (~spl2737_76 | ~spl2737_889)),
% 59.37/10.04    inference(resolution,[],[f68614,f64601])).
% 59.37/10.04  tff(f64601,plain,(
% 59.37/10.04    real_V4867850818363320053vector(complex) | ~spl2737_76),
% 59.37/10.04    inference(avatar_component_clause,[],[f64599])).
% 59.37/10.04  tff(f69641,plain,(
% 59.37/10.04    spl2737_1058),
% 59.37/10.04    inference(avatar_split_clause,[],[f35405,f69638])).
% 59.37/10.04  tff(f69638,plain,(
% 59.37/10.04    spl2737_1058 <=> semiring_1_of_nat(int) = code_T6385005292777649522of_nat),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1058])])).
% 59.37/10.04  tff(f69636,plain,(
% 59.37/10.04    spl2737_1057),
% 59.37/10.04    inference(avatar_split_clause,[],[f35404,f69633])).
% 59.37/10.04  tff(f69633,plain,(
% 59.37/10.04    spl2737_1057 <=> ring_1_of_int(rat) = of_int),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1057])])).
% 59.37/10.04  tff(f69631,plain,(
% 59.37/10.04    spl2737_1056),
% 59.37/10.04    inference(avatar_split_clause,[],[f35403,f69628])).
% 59.37/10.04  tff(f69628,plain,(
% 59.37/10.04    spl2737_1056 <=> field_char_0_of_rat(real) = ratreal),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1056])])).
% 59.37/10.04  tff(f69626,plain,(
% 59.37/10.04    spl2737_1055),
% 59.37/10.04    inference(avatar_split_clause,[],[f35402,f69623])).
% 59.37/10.04  tff(f69623,plain,(
% 59.37/10.04    spl2737_1055 <=> code_integer_of_int = ring_1_of_int(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1055])])).
% 59.37/10.04  tff(f69621,plain,(
% 59.37/10.04    spl2737_1054 | ~spl2737_77 | ~spl2737_888),
% 59.37/10.04    inference(avatar_split_clause,[],[f69021,f68609,f64604,f69618])).
% 59.37/10.04  tff(f69618,plain,(
% 59.37/10.04    spl2737_1054 <=> sP24(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1054])])).
% 59.37/10.04  tff(f68609,plain,(
% 59.37/10.04    spl2737_888 <=> ! [X0 : $tType] : (sP24(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_888])])).
% 59.37/10.04  tff(f69021,plain,(
% 59.37/10.04    sP24(real) | (~spl2737_77 | ~spl2737_888)),
% 59.37/10.04    inference(resolution,[],[f68610,f64606])).
% 59.37/10.04  tff(f68610,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP24(X0)) ) | ~spl2737_888),
% 59.37/10.04    inference(avatar_component_clause,[],[f68609])).
% 59.37/10.04  tff(f69616,plain,(
% 59.37/10.04    spl2737_1053 | ~spl2737_76 | ~spl2737_888),
% 59.37/10.04    inference(avatar_split_clause,[],[f69020,f68609,f64599,f69613])).
% 59.37/10.04  tff(f69613,plain,(
% 59.37/10.04    spl2737_1053 <=> sP24(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1053])])).
% 59.37/10.04  tff(f69020,plain,(
% 59.37/10.04    sP24(complex) | (~spl2737_76 | ~spl2737_888)),
% 59.37/10.04    inference(resolution,[],[f68610,f64601])).
% 59.37/10.04  tff(f69608,plain,(
% 59.37/10.04    spl2737_1052 | ~spl2737_77 | ~spl2737_887),
% 59.37/10.04    inference(avatar_split_clause,[],[f69019,f68605,f64604,f69605])).
% 59.37/10.04  tff(f69605,plain,(
% 59.37/10.04    spl2737_1052 <=> sP22(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1052])])).
% 59.37/10.04  tff(f68605,plain,(
% 59.37/10.04    spl2737_887 <=> ! [X0 : $tType] : (sP22(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_887])])).
% 59.37/10.04  tff(f69019,plain,(
% 59.37/10.04    sP22(real) | (~spl2737_77 | ~spl2737_887)),
% 59.37/10.04    inference(resolution,[],[f68606,f64606])).
% 59.37/10.04  tff(f68606,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP22(X0)) ) | ~spl2737_887),
% 59.37/10.04    inference(avatar_component_clause,[],[f68605])).
% 59.37/10.04  tff(f69603,plain,(
% 59.37/10.04    spl2737_1051 | ~spl2737_76 | ~spl2737_887),
% 59.37/10.04    inference(avatar_split_clause,[],[f69018,f68605,f64599,f69600])).
% 59.37/10.04  tff(f69600,plain,(
% 59.37/10.04    spl2737_1051 <=> sP22(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1051])])).
% 59.37/10.04  tff(f69018,plain,(
% 59.37/10.04    sP22(complex) | (~spl2737_76 | ~spl2737_887)),
% 59.37/10.04    inference(resolution,[],[f68606,f64601])).
% 59.37/10.04  tff(f69598,plain,(
% 59.37/10.04    spl2737_1050 | ~spl2737_77 | ~spl2737_886),
% 59.37/10.04    inference(avatar_split_clause,[],[f69017,f68601,f64604,f69595])).
% 59.37/10.04  tff(f69595,plain,(
% 59.37/10.04    spl2737_1050 <=> sP20(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1050])])).
% 59.37/10.04  tff(f68601,plain,(
% 59.37/10.04    spl2737_886 <=> ! [X0 : $tType] : (sP20(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_886])])).
% 59.37/10.04  tff(f69017,plain,(
% 59.37/10.04    sP20(real) | (~spl2737_77 | ~spl2737_886)),
% 59.37/10.04    inference(resolution,[],[f68602,f64606])).
% 59.37/10.04  tff(f68602,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP20(X0)) ) | ~spl2737_886),
% 59.37/10.04    inference(avatar_component_clause,[],[f68601])).
% 59.37/10.04  tff(f69591,plain,(
% 59.37/10.04    spl2737_1049),
% 59.37/10.04    inference(avatar_split_clause,[],[f62188,f69589])).
% 59.37/10.04  tff(f69589,plain,(
% 59.37/10.04    spl2737_1049 <=> ! [X0 : fun(nat,bool),X1 : nat] : sP475(X0,X1,size_num(one2))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1049])])).
% 59.37/10.04  tff(f62188,plain,(
% 59.37/10.04    ( ! [X0 : fun(nat,bool),X1 : nat] : (sP475(X0,X1,size_num(one2))) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53629,f35397])).
% 59.37/10.04  tff(f53629,plain,(
% 59.37/10.04    ( ! [X0 : fun(nat,bool),X1 : nat] : (sP475(X0,X1,zero_zero(nat))) )),
% 59.37/10.04    inference(equality_resolution,[],[f48549])).
% 59.37/10.04  tff(f48549,plain,(
% 59.37/10.04    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP475(X0,X1,X2) | zero_zero(nat) != X2) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33367])).
% 59.37/10.04  tff(f69587,plain,(
% 59.37/10.04    spl2737_1048),
% 59.37/10.04    inference(avatar_split_clause,[],[f62180,f69585])).
% 59.37/10.04  tff(f69585,plain,(
% 59.37/10.04    spl2737_1048 <=> ! [X0 : fun(nat,bool),X1 : nat] : sP474(X0,X1,size_num(one2))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1048])])).
% 59.37/10.04  tff(f62180,plain,(
% 59.37/10.04    ( ! [X0 : fun(nat,bool),X1 : nat] : (sP474(X0,X1,size_num(one2))) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53626,f35397])).
% 59.37/10.04  tff(f53626,plain,(
% 59.37/10.04    ( ! [X0 : fun(nat,bool),X1 : nat] : (sP474(X0,X1,zero_zero(nat))) )),
% 59.37/10.04    inference(equality_resolution,[],[f48540])).
% 59.37/10.04  tff(f48540,plain,(
% 59.37/10.04    ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP474(X0,X1,X2) | zero_zero(nat) != X2) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33360])).
% 59.37/10.04  tff(f69583,plain,(
% 59.37/10.04    spl2737_1047),
% 59.37/10.04    inference(avatar_split_clause,[],[f60465,f69580])).
% 59.37/10.04  tff(f69580,plain,(
% 59.37/10.04    spl2737_1047 <=> sP362(size_num(one2),one_one(nat))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1047])])).
% 59.37/10.04  tff(f60465,plain,(
% 59.37/10.04    sP362(size_num(one2),one_one(nat))),
% 59.37/10.04    inference(forward_demodulation,[],[f60464,f54053])).
% 59.37/10.04  tff(f60464,plain,(
% 59.37/10.04    sP362(size_num(one2),aa(nat,nat,suc,size_num(one2)))),
% 59.37/10.04    inference(forward_demodulation,[],[f53438,f35397])).
% 59.37/10.04  tff(f53438,plain,(
% 59.37/10.04    sP362(zero_zero(nat),aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.04    inference(equality_resolution,[],[f53437])).
% 59.37/10.04  tff(f53437,plain,(
% 59.37/10.04    ( ! [X1 : nat] : (sP362(zero_zero(nat),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46822])).
% 59.37/10.04  tff(f46822,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : nat] : (sP362(X0,X1) | zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32316])).
% 59.37/10.04  tff(f69578,plain,(
% 59.37/10.04    spl2737_1046),
% 59.37/10.04    inference(avatar_split_clause,[],[f60463,f69575])).
% 59.37/10.04  tff(f69575,plain,(
% 59.37/10.04    spl2737_1046 <=> sP362(one_one(nat),size_num(one2))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1046])])).
% 59.37/10.04  tff(f60463,plain,(
% 59.37/10.04    sP362(one_one(nat),size_num(one2))),
% 59.37/10.04    inference(forward_demodulation,[],[f60462,f54053])).
% 59.37/10.04  tff(f60462,plain,(
% 59.37/10.04    sP362(aa(nat,nat,suc,size_num(one2)),size_num(one2))),
% 59.37/10.04    inference(forward_demodulation,[],[f53436,f35397])).
% 59.37/10.04  tff(f53436,plain,(
% 59.37/10.04    sP362(aa(nat,nat,suc,zero_zero(nat)),zero_zero(nat))),
% 59.37/10.04    inference(equality_resolution,[],[f53435])).
% 59.37/10.04  tff(f53435,plain,(
% 59.37/10.04    ( ! [X1 : nat] : (sP362(aa(nat,nat,suc,zero_zero(nat)),X1) | zero_zero(nat) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46823])).
% 59.37/10.04  tff(f46823,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : nat] : (sP362(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32316])).
% 59.37/10.04  tff(f69573,plain,(
% 59.37/10.04    spl2737_1045),
% 59.37/10.04    inference(avatar_split_clause,[],[f60443,f69570])).
% 59.37/10.04  tff(f69570,plain,(
% 59.37/10.04    spl2737_1045 <=> sP361(size_num(one2),one_one(nat))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1045])])).
% 59.37/10.04  tff(f60443,plain,(
% 59.37/10.04    sP361(size_num(one2),one_one(nat))),
% 59.37/10.04    inference(forward_demodulation,[],[f60442,f54053])).
% 59.37/10.04  tff(f60442,plain,(
% 59.37/10.04    sP361(size_num(one2),aa(nat,nat,suc,size_num(one2)))),
% 59.37/10.04    inference(forward_demodulation,[],[f53434,f35397])).
% 59.37/10.04  tff(f53434,plain,(
% 59.37/10.04    sP361(zero_zero(nat),aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.04    inference(equality_resolution,[],[f53433])).
% 59.37/10.04  tff(f53433,plain,(
% 59.37/10.04    ( ! [X1 : nat] : (sP361(zero_zero(nat),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46814])).
% 59.37/10.04  tff(f46814,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : nat] : (sP361(X0,X1) | zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32312])).
% 59.37/10.04  tff(f69568,plain,(
% 59.37/10.04    spl2737_1044),
% 59.37/10.04    inference(avatar_split_clause,[],[f60441,f69565])).
% 59.37/10.04  tff(f69565,plain,(
% 59.37/10.04    spl2737_1044 <=> sP361(one_one(nat),size_num(one2))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1044])])).
% 59.37/10.04  tff(f60441,plain,(
% 59.37/10.04    sP361(one_one(nat),size_num(one2))),
% 59.37/10.04    inference(forward_demodulation,[],[f60440,f54053])).
% 59.37/10.04  tff(f60440,plain,(
% 59.37/10.04    sP361(aa(nat,nat,suc,size_num(one2)),size_num(one2))),
% 59.37/10.04    inference(forward_demodulation,[],[f53432,f35397])).
% 59.37/10.04  tff(f53432,plain,(
% 59.37/10.04    sP361(aa(nat,nat,suc,zero_zero(nat)),zero_zero(nat))),
% 59.37/10.04    inference(equality_resolution,[],[f53431])).
% 59.37/10.04  tff(f53431,plain,(
% 59.37/10.04    ( ! [X1 : nat] : (sP361(aa(nat,nat,suc,zero_zero(nat)),X1) | zero_zero(nat) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46815])).
% 59.37/10.04  tff(f46815,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : nat] : (sP361(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32312])).
% 59.37/10.04  tff(f69563,plain,(
% 59.37/10.04    spl2737_1043 | ~spl2737_76 | ~spl2737_886),
% 59.37/10.04    inference(avatar_split_clause,[],[f69016,f68601,f64599,f69560])).
% 59.37/10.04  tff(f69560,plain,(
% 59.37/10.04    spl2737_1043 <=> sP20(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1043])])).
% 59.37/10.04  tff(f69016,plain,(
% 59.37/10.04    sP20(complex) | (~spl2737_76 | ~spl2737_886)),
% 59.37/10.04    inference(resolution,[],[f68602,f64601])).
% 59.37/10.04  tff(f69558,plain,(
% 59.37/10.04    spl2737_1042),
% 59.37/10.04    inference(avatar_split_clause,[],[f60173,f69555])).
% 59.37/10.04  tff(f69555,plain,(
% 59.37/10.04    spl2737_1042 <=> sP354(size_num(one2),zero_zero(int))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1042])])).
% 59.37/10.04  tff(f60173,plain,(
% 59.37/10.04    sP354(size_num(one2),zero_zero(int))),
% 59.37/10.04    inference(forward_demodulation,[],[f60172,f54057])).
% 59.37/10.04  tff(f60172,plain,(
% 59.37/10.04    sP354(size_num(one2),aa(nat,int,code_T6385005292777649522of_nat,size_num(one2)))),
% 59.37/10.04    inference(forward_demodulation,[],[f60171,f35405])).
% 59.37/10.04  tff(f60171,plain,(
% 59.37/10.04    sP354(size_num(one2),aa(nat,int,semiring_1_of_nat(int),size_num(one2)))),
% 59.37/10.04    inference(forward_demodulation,[],[f53331,f35397])).
% 59.37/10.04  tff(f53331,plain,(
% 59.37/10.04    sP354(zero_zero(nat),aa(nat,int,semiring_1_of_nat(int),zero_zero(nat)))),
% 59.37/10.04    inference(equality_resolution,[],[f53330])).
% 59.37/10.04  tff(f53330,plain,(
% 59.37/10.04    ( ! [X1 : int] : (sP354(zero_zero(nat),X1) | aa(nat,int,semiring_1_of_nat(int),zero_zero(nat)) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46402])).
% 59.37/10.04  tff(f46402,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : int] : (sP354(X0,X1) | zero_zero(nat) != X0 | aa(nat,int,semiring_1_of_nat(int),X0) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32052])).
% 59.37/10.04  tff(f69553,plain,(
% 59.37/10.04    spl2737_1041),
% 59.37/10.04    inference(avatar_split_clause,[],[f60165,f69550])).
% 59.37/10.04  tff(f69550,plain,(
% 59.37/10.04    spl2737_1041 <=> sP353(size_num(one2),zero_zero(int))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1041])])).
% 59.37/10.04  tff(f60165,plain,(
% 59.37/10.04    sP353(size_num(one2),zero_zero(int))),
% 59.37/10.04    inference(forward_demodulation,[],[f60164,f54057])).
% 59.37/10.04  tff(f60164,plain,(
% 59.37/10.04    sP353(size_num(one2),aa(nat,int,code_T6385005292777649522of_nat,size_num(one2)))),
% 59.37/10.04    inference(forward_demodulation,[],[f60163,f35405])).
% 59.37/10.04  tff(f60163,plain,(
% 59.37/10.04    sP353(size_num(one2),aa(nat,int,semiring_1_of_nat(int),size_num(one2)))),
% 59.37/10.04    inference(forward_demodulation,[],[f53326,f35397])).
% 59.37/10.04  tff(f53326,plain,(
% 59.37/10.04    sP353(zero_zero(nat),aa(nat,int,semiring_1_of_nat(int),zero_zero(nat)))),
% 59.37/10.04    inference(equality_resolution,[],[f53325])).
% 59.37/10.04  tff(f53325,plain,(
% 59.37/10.04    ( ! [X1 : int] : (sP353(zero_zero(nat),X1) | aa(nat,int,semiring_1_of_nat(int),zero_zero(nat)) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46394])).
% 59.37/10.04  tff(f46394,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : int] : (sP353(X0,X1) | zero_zero(nat) != X0 | aa(nat,int,semiring_1_of_nat(int),X0) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32049])).
% 59.37/10.04  tff(f69548,plain,(
% 59.37/10.04    spl2737_1040),
% 59.37/10.04    inference(avatar_split_clause,[],[f55822,f69546])).
% 59.37/10.04  tff(f69546,plain,(
% 59.37/10.04    spl2737_1040 <=> ! [X1 : $tType,X0 : X1] : sP182(X1,X0,size_num(one2))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1040])])).
% 59.37/10.04  tff(f55822,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : X1] : (sP182(X1,X0,size_num(one2))) )),
% 59.37/10.04    inference(forward_demodulation,[],[f52834,f35397])).
% 59.37/10.04  tff(f52834,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : X1] : (sP182(X1,X0,zero_zero(nat))) )),
% 59.37/10.04    inference(equality_resolution,[],[f40218])).
% 59.37/10.04  tff(f40218,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X2 : nat,X0 : X1] : (sP182(X1,X0,X2) | zero_zero(nat) != X2) )),
% 59.37/10.04    inference(cnf_transformation,[],[f29346])).
% 59.37/10.04  tff(f29346,plain,(
% 59.37/10.04    ! [X0 : X1,X1 : $tType,X2 : nat] : ((sP182(X1,X0,X2) | ((~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & (zero_zero(X1) = X0 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & zero_zero(nat) != X2)) & ((pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | (zero_zero(X1) != X0 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | zero_zero(nat) = X2 | ~sP182(X1,X0,X2)))),
% 59.37/10.04    inference(rectify,[],[f29345])).
% 59.37/10.04  tff(f29345,plain,(
% 59.37/10.04    ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP182(X0,X1,X2) | ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & (zero_zero(X0) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & zero_zero(nat) != X2)) & ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | zero_zero(nat) = X2 | ~sP182(X0,X1,X2)))),
% 59.37/10.04    inference(flattening,[],[f29344])).
% 59.37/10.04  tff(f29344,plain,(
% 59.37/10.04    ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP182(X0,X1,X2) | ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) | pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & (zero_zero(X0) = X1 | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) & zero_zero(nat) != X2)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | zero_zero(nat) = X2) | ~sP182(X0,X1,X2)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27359])).
% 59.37/10.04  tff(f27359,plain,(
% 59.37/10.04    ! [X1 : X0,X0 : $tType,X2 : nat] : (sP182(X0,X1,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | zero_zero(nat) = X2))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP182])])).
% 59.37/10.04  tff(f69544,plain,(
% 59.37/10.04    spl2737_1039),
% 59.37/10.04    inference(avatar_split_clause,[],[f54239,f69542])).
% 59.37/10.04  tff(f69542,plain,(
% 59.37/10.04    spl2737_1039 <=> ! [X0 : nat] : algebr8660921524188924756oprime(nat,one_one(nat),X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1039])])).
% 59.37/10.04  tff(f54239,plain,(
% 59.37/10.04    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,one_one(nat),X0)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f54238,f54053])).
% 59.37/10.04  tff(f54238,plain,(
% 59.37/10.04    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,aa(nat,nat,suc,size_num(one2)),X0)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f35822,f35397])).
% 59.37/10.04  tff(f35822,plain,(
% 59.37/10.04    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,aa(nat,nat,suc,zero_zero(nat)),X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9992])).
% 59.37/10.04  tff(f9992,plain,(
% 59.37/10.04    ! [X0 : nat] : algebr8660921524188924756oprime(nat,aa(nat,nat,suc,zero_zero(nat)),X0)),
% 59.37/10.04    inference(rectify,[],[f6859])).
% 59.37/10.04  tff(f6859,axiom,(
% 59.37/10.04    ! [X8 : nat] : algebr8660921524188924756oprime(nat,aa(nat,nat,suc,zero_zero(nat)),X8)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6858_coprime__Suc__0__left)).
% 59.37/10.04  tff(f69540,plain,(
% 59.37/10.04    spl2737_1038),
% 59.37/10.04    inference(avatar_split_clause,[],[f54237,f69538])).
% 59.37/10.04  tff(f69538,plain,(
% 59.37/10.04    spl2737_1038 <=> ! [X0 : nat] : algebr8660921524188924756oprime(nat,X0,one_one(nat))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1038])])).
% 59.37/10.04  tff(f54237,plain,(
% 59.37/10.04    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,X0,one_one(nat))) )),
% 59.37/10.04    inference(forward_demodulation,[],[f54236,f54053])).
% 59.37/10.04  tff(f54236,plain,(
% 59.37/10.04    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,X0,aa(nat,nat,suc,size_num(one2)))) )),
% 59.37/10.04    inference(forward_demodulation,[],[f35821,f35397])).
% 59.37/10.04  tff(f35821,plain,(
% 59.37/10.04    ( ! [X0 : nat] : (algebr8660921524188924756oprime(nat,X0,aa(nat,nat,suc,zero_zero(nat)))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9991])).
% 59.37/10.04  tff(f9991,plain,(
% 59.37/10.04    ! [X0 : nat] : algebr8660921524188924756oprime(nat,X0,aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.04    inference(rectify,[],[f6860])).
% 59.37/10.04  tff(f6860,axiom,(
% 59.37/10.04    ! [X8 : nat] : algebr8660921524188924756oprime(nat,X8,aa(nat,nat,suc,zero_zero(nat)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6859_coprime__Suc__0__right)).
% 59.37/10.04  tff(f69536,plain,(
% 59.37/10.04    spl2737_1037),
% 59.37/10.04    inference(avatar_split_clause,[],[f54113,f69533])).
% 59.37/10.04  tff(f69531,plain,(
% 59.37/10.04    spl2737_1036),
% 59.37/10.04    inference(avatar_split_clause,[],[f54108,f69528])).
% 59.37/10.04  tff(f69528,plain,(
% 59.37/10.04    spl2737_1036 <=> code_Nat = code_n4118661773612635043nteger),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1036])])).
% 59.37/10.04  tff(f69526,plain,(
% 59.37/10.04    spl2737_1035),
% 59.37/10.04    inference(avatar_split_clause,[],[f54010,f69523])).
% 59.37/10.04  tff(f69523,plain,(
% 59.37/10.04    spl2737_1035 <=> size_num(one2) = bot_bot(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1035])])).
% 59.37/10.04  tff(f54010,plain,(
% 59.37/10.04    size_num(one2) = bot_bot(nat)),
% 59.37/10.04    inference(forward_demodulation,[],[f35399,f35397])).
% 59.37/10.04  tff(f35399,plain,(
% 59.37/10.04    zero_zero(nat) = bot_bot(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f3312])).
% 59.37/10.04  tff(f3312,axiom,(
% 59.37/10.04    zero_zero(nat) = bot_bot(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3311_bot__nat__def)).
% 59.37/10.04  tff(f69521,plain,(
% 59.37/10.04    spl2737_1034),
% 59.37/10.04    inference(avatar_split_clause,[],[f53888,f69519])).
% 59.37/10.04  tff(f69519,plain,(
% 59.37/10.04    spl2737_1034 <=> ! [X2 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP543(X1,X1,X2,X3)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1034])])).
% 59.37/10.04  tff(f53888,plain,(
% 59.37/10.04    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X1 : nat] : (sP543(X1,X1,X2,X3)) )),
% 59.37/10.04    inference(equality_resolution,[],[f50137])).
% 59.37/10.04  tff(f50137,plain,(
% 59.37/10.04    ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat] : (sP543(X0,X1,X2,X3) | X0 != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f34379])).
% 59.37/10.04  tff(f34379,plain,(
% 59.37/10.04    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat] : ((sP543(X0,X1,X2,X3) | ((((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2680(X0,X1,X2,X3)),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),sK2680(X0,X1,X2,X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,sK2680(X0,X1,X2,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2680(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X0)) & X0 != X1)) & ((! [X5 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X5) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X0)) | X0 = X1 | ~sP543(X0,X1,X2,X3)))),
% 59.37/10.04    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2680])],[f34377,f34378])).
% 59.37/10.04  tff(f34378,plain,(
% 59.37/10.04    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat] : (? [X4 : nat] : ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X4))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X4) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) => ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK2680(X0,X1,X2,X3)),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),sK2680(X0,X1,X2,X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,sK2680(X0,X1,X2,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2680(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))))),
% 59.37/10.04    introduced(choice_axiom,[])).
% 59.37/10.04  tff(f34377,plain,(
% 59.37/10.04    ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat] : ((sP543(X0,X1,X2,X3) | ((? [X4 : nat] : ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X4))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X4) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X0)) & X0 != X1)) & ((! [X5 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X0)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X5))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X5) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),bit0(one2))),X2,X0)) | X0 = X1 | ~sP543(X0,X1,X2,X3)))),
% 59.37/10.04    inference(rectify,[],[f34376])).
% 59.37/10.04  tff(f34376,plain,(
% 59.37/10.04    ! [X4 : nat,X3 : nat,X1 : list(vEBT_VEBT),X0 : nat] : ((sP543(X4,X3,X1,X0) | ((? [X5 : nat] : ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X5))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X5) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X4)) & X3 != X4)) & ((! [X5 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X5))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X5) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X4)) | X3 = X4 | ~sP543(X4,X3,X1,X0)))),
% 59.37/10.04    inference(flattening,[],[f34375])).
% 59.37/10.04  tff(f34375,plain,(
% 59.37/10.04    ! [X4 : nat,X3 : nat,X1 : list(vEBT_VEBT),X0 : nat] : ((sP543(X4,X3,X1,X0) | ((? [X5 : nat] : ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X4)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X5))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X5) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X4)) & X3 != X4)) & (((! [X5 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X5))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X5) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X4)) | X3 = X4) | ~sP543(X4,X3,X1,X0)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27909])).
% 59.37/10.04  tff(f27909,plain,(
% 59.37/10.04    ! [X4 : nat,X3 : nat,X1 : list(vEBT_VEBT),X0 : nat] : (sP543(X4,X3,X1,X0) <=> ((! [X5 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X5))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X5) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X0)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),bit0(one2))),X1,X4)) | X3 = X4))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP543])])).
% 59.37/10.04  tff(f69517,plain,(
% 59.37/10.04    spl2737_1033),
% 59.37/10.04    inference(avatar_split_clause,[],[f53468,f69515])).
% 59.37/10.04  tff(f69515,plain,(
% 59.37/10.04    spl2737_1033 <=> ! [X2 : product_prod(int,int),X0 : int] : ~sP380(X0,zero_zero(int),X2)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1033])])).
% 59.37/10.04  tff(f53468,plain,(
% 59.37/10.04    ( ! [X2 : product_prod(int,int),X0 : int] : (~sP380(X0,zero_zero(int),X2)) )),
% 59.37/10.04    inference(equality_resolution,[],[f47424])).
% 59.37/10.04  tff(f47424,plain,(
% 59.37/10.04    ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (zero_zero(int) != X1 | ~sP380(X0,X1,X2)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32581])).
% 59.37/10.04  tff(f32581,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((aa(int,int,aa(int,fun(int,int),times_times(int),sK2030(X0,X1,X2)),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),product_Pair(int,int,sK2030(X0,X1,X2)),zero_zero(int)) = X2) | ~sP380(X0,X1,X2))),
% 59.37/10.04    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2030])],[f32579,f32580])).
% 59.37/10.04  tff(f32580,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),product_Pair(int,int,X3),zero_zero(int)) = X2) => (aa(int,int,aa(int,fun(int,int),times_times(int),sK2030(X0,X1,X2)),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),product_Pair(int,int,sK2030(X0,X1,X2)),zero_zero(int)) = X2))),
% 59.37/10.04    introduced(choice_axiom,[])).
% 59.37/10.04  tff(f32579,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X3 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X3),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),product_Pair(int,int,X3),zero_zero(int)) = X2) | ~sP380(X0,X1,X2))),
% 59.37/10.04    inference(nnf_transformation,[],[f27663])).
% 59.37/10.04  tff(f69513,plain,(
% 59.37/10.04    spl2737_1032 | ~spl2737_77 | ~spl2737_885),
% 59.37/10.04    inference(avatar_split_clause,[],[f69015,f68597,f64604,f69510])).
% 59.37/10.04  tff(f69510,plain,(
% 59.37/10.04    spl2737_1032 <=> sP18(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1032])])).
% 59.37/10.04  tff(f68597,plain,(
% 59.37/10.04    spl2737_885 <=> ! [X0 : $tType] : (sP18(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_885])])).
% 59.37/10.04  tff(f69015,plain,(
% 59.37/10.04    sP18(real) | (~spl2737_77 | ~spl2737_885)),
% 59.37/10.04    inference(resolution,[],[f68598,f64606])).
% 59.37/10.04  tff(f68598,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP18(X0)) ) | ~spl2737_885),
% 59.37/10.04    inference(avatar_component_clause,[],[f68597])).
% 59.37/10.04  tff(f69508,plain,(
% 59.37/10.04    spl2737_1031),
% 59.37/10.04    inference(avatar_split_clause,[],[f53386,f69505])).
% 59.37/10.04  tff(f69505,plain,(
% 59.37/10.04    spl2737_1031 <=> sP357(one_one(int),one_one(int))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1031])])).
% 59.37/10.04  tff(f53386,plain,(
% 59.37/10.04    sP357(one_one(int),one_one(int))),
% 59.37/10.04    inference(equality_resolution,[],[f53385])).
% 59.37/10.04  tff(f53385,plain,(
% 59.37/10.04    ( ! [X1 : int] : (sP357(one_one(int),X1) | one_one(int) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46630])).
% 59.37/10.04  tff(f46630,plain,(
% 59.37/10.04    ( ! [X0 : int,X1 : int] : (sP357(X0,X1) | one_one(int) != X0 | one_one(int) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32206])).
% 59.37/10.04  tff(f69503,plain,(
% 59.37/10.04    spl2737_1030),
% 59.37/10.04    inference(avatar_split_clause,[],[f53382,f69500])).
% 59.37/10.04  tff(f69500,plain,(
% 59.37/10.04    spl2737_1030 <=> sP356(one_one(int),one_one(int))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1030])])).
% 59.37/10.04  tff(f53382,plain,(
% 59.37/10.04    sP356(one_one(int),one_one(int))),
% 59.37/10.04    inference(equality_resolution,[],[f53381])).
% 59.37/10.04  tff(f53381,plain,(
% 59.37/10.04    ( ! [X1 : int] : (sP356(one_one(int),X1) | one_one(int) != X1) )),
% 59.37/10.04    inference(equality_resolution,[],[f46620])).
% 59.37/10.04  tff(f46620,plain,(
% 59.37/10.04    ( ! [X0 : int,X1 : int] : (sP356(X0,X1) | one_one(int) != X0 | one_one(int) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32202])).
% 59.37/10.04  tff(f69498,plain,(
% 59.37/10.04    spl2737_1029),
% 59.37/10.04    inference(avatar_split_clause,[],[f53306,f69496])).
% 59.37/10.04  tff(f69496,plain,(
% 59.37/10.04    spl2737_1029 <=> ! [X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP337(X0,X1,X3,X3)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1029])])).
% 59.37/10.04  tff(f53306,plain,(
% 59.37/10.04    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP337(X0,X1,X3,X3)) )),
% 59.37/10.04    inference(equality_resolution,[],[f46304])).
% 59.37/10.04  tff(f46304,plain,(
% 59.37/10.04    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP337(X0,X1,X2,X3) | X2 != X3) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31987])).
% 59.37/10.04  tff(f31987,plain,(
% 59.37/10.04    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP337(X0,X1,X2,X3) | (((~sP336(X3,X2,X1,sK1941(X0,X1,X2,X3),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK1941(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK1941(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1941(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1)))) & X2 != X3)) & (! [X5 : nat] : ((sP336(X3,X2,X1,X5,X0) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1)))) | X2 = X3 | ~sP337(X0,X1,X2,X3)))),
% 59.37/10.04    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1941])],[f31985,f31986])).
% 59.37/10.04  tff(f31986,plain,(
% 59.37/10.04    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : (? [X4 : nat] : ((~sP336(X3,X2,X1,X4,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1)))) => ((~sP336(X3,X2,X1,sK1941(X0,X1,X2,X3),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK1941(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK1941(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1941(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1)))))),
% 59.37/10.04    introduced(choice_axiom,[])).
% 59.37/10.04  tff(f31985,plain,(
% 59.37/10.04    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP337(X0,X1,X2,X3) | (? [X4 : nat] : ((~sP336(X3,X2,X1,X4,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1)))) & X2 != X3)) & (! [X5 : nat] : ((sP336(X3,X2,X1,X5,X0) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X1)))) | X2 = X3 | ~sP337(X0,X1,X2,X3)))),
% 59.37/10.04    inference(rectify,[],[f31984])).
% 59.37/10.04  tff(f31984,plain,(
% 59.37/10.04    ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : ((sP337(X14,X15,X17,X18) | (? [X19 : nat] : ((~sP336(X18,X17,X15,X19,X14) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) & vEBT_VEBT_high(X18,X15) = X19)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) & X17 != X18)) & (! [X19 : nat] : ((sP336(X18,X17,X15,X19,X14) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) | X17 = X18 | ~sP337(X14,X15,X17,X18)))),
% 59.37/10.04    inference(flattening,[],[f31983])).
% 59.37/10.04  tff(f31983,plain,(
% 59.37/10.04    ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : ((sP337(X14,X15,X17,X18) | (? [X19 : nat] : ((~sP336(X18,X17,X15,X19,X14) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) & vEBT_VEBT_high(X18,X15) = X19)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) & X17 != X18)) & ((! [X19 : nat] : ((sP336(X18,X17,X15,X19,X14) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X14),X19)),vEBT_VEBT_low(X18,X15))) | vEBT_VEBT_high(X18,X15) != X19)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X19),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X15)))) | X17 = X18) | ~sP337(X14,X15,X17,X18)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27598])).
% 59.37/10.04  tff(f69494,plain,(
% 59.37/10.04    spl2737_1028),
% 59.37/10.04    inference(avatar_split_clause,[],[f53301,f69492])).
% 59.37/10.04  tff(f69492,plain,(
% 59.37/10.04    spl2737_1028 <=> ! [X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP341(X0,X1,X3,X3)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1028])])).
% 59.37/10.04  tff(f53301,plain,(
% 59.37/10.04    ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP341(X0,X1,X3,X3)) )),
% 59.37/10.04    inference(equality_resolution,[],[f46284])).
% 59.37/10.04  tff(f46284,plain,(
% 59.37/10.04    ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP341(X0,X1,X2,X3) | X2 != X3) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31965])).
% 59.37/10.04  tff(f31965,plain,(
% 59.37/10.04    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP341(X0,X1,X2,X3) | (((~sP340(X3,X2,X1,sK1934(X0,X1,X2,X3),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK1934(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK1934(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1934(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X1))))) & X2 != X3)) & (! [X5 : nat] : ((sP340(X3,X2,X1,X5,X0) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X1))))) | X2 = X3 | ~sP341(X0,X1,X2,X3)))),
% 59.37/10.04    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1934])],[f31963,f31964])).
% 59.37/10.04  tff(f31964,plain,(
% 59.37/10.04    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : (? [X4 : nat] : ((~sP340(X3,X2,X1,X4,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X1))))) => ((~sP340(X3,X2,X1,sK1934(X0,X1,X2,X3),X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),sK1934(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK1934(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1934(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X1))))))),
% 59.37/10.04    introduced(choice_axiom,[])).
% 59.37/10.04  tff(f31963,plain,(
% 59.37/10.04    ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP341(X0,X1,X2,X3) | (? [X4 : nat] : ((~sP340(X3,X2,X1,X4,X0) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X4)),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = X4)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X1))))) & X2 != X3)) & (! [X5 : nat] : ((sP340(X3,X2,X1,X5,X0) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X0),X5)),vEBT_VEBT_low(X3,X1))) | vEBT_VEBT_high(X3,X1) != X5)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X1))))) | X2 = X3 | ~sP341(X0,X1,X2,X3)))),
% 59.37/10.04    inference(rectify,[],[f31962])).
% 59.37/10.04  tff(f31962,plain,(
% 59.37/10.04    ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : ((sP341(X2,X3,X5,X6) | (? [X7 : nat] : ((~sP340(X6,X5,X3,X7,X2) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) & vEBT_VEBT_high(X6,X3) = X7)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) & X5 != X6)) & (! [X7 : nat] : ((sP340(X6,X5,X3,X7,X2) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) | X5 = X6 | ~sP341(X2,X3,X5,X6)))),
% 59.37/10.04    inference(flattening,[],[f31961])).
% 59.37/10.04  tff(f31961,plain,(
% 59.37/10.04    ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : ((sP341(X2,X3,X5,X6) | (? [X7 : nat] : ((~sP340(X6,X5,X3,X7,X2) | (~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) & vEBT_VEBT_high(X6,X3) = X7)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) & X5 != X6)) & ((! [X7 : nat] : ((sP340(X6,X5,X3,X7,X2) & (pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X2),X7)),vEBT_VEBT_low(X6,X3))) | vEBT_VEBT_high(X6,X3) != X7)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X7),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(nat,nat,suc,X3))))) | X5 = X6) | ~sP341(X2,X3,X5,X6)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27602])).
% 59.37/10.04  tff(f69490,plain,(
% 59.37/10.04    spl2737_1027),
% 59.37/10.04    inference(avatar_split_clause,[],[f53037,f69488])).
% 59.37/10.04  tff(f69488,plain,(
% 59.37/10.04    spl2737_1027 <=> ! [X2 : $tType,X3 : list(X2)] : sP223(X2,nil(X2),X3)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1027])])).
% 59.37/10.04  tff(f53037,plain,(
% 59.37/10.04    ( ! [X2 : $tType,X3 : list(X2)] : (sP223(X2,nil(X2),X3)) )),
% 59.37/10.04    inference(equality_resolution,[],[f53036])).
% 59.37/10.04  tff(f53036,plain,(
% 59.37/10.04    ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2)] : (sP223(X2,X0,X3) | nil(X2) != X0) )),
% 59.37/10.04    inference(equality_resolution,[],[f42318])).
% 59.37/10.04  tff(f42318,plain,(
% 59.37/10.04    ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2)] : (sP223(X2,X0,X1) | X1 != X3 | nil(X2) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f30088])).
% 59.37/10.04  tff(f69486,plain,(
% 59.37/10.04    spl2737_1026),
% 59.37/10.04    inference(avatar_split_clause,[],[f52759,f69484])).
% 59.37/10.04  tff(f69484,plain,(
% 59.37/10.04    spl2737_1026 <=> ! [X2 : $tType,X0 : X2] : ~sP130(X2,X0,zero_zero(X2))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1026])])).
% 59.37/10.04  tff(f52759,plain,(
% 59.37/10.04    ( ! [X2 : $tType,X0 : X2] : (~sP130(X2,X0,zero_zero(X2))) )),
% 59.37/10.04    inference(equality_resolution,[],[f39093])).
% 59.37/10.04  tff(f39093,plain,(
% 59.37/10.04    ( ! [X2 : $tType,X0 : X2,X1 : X2] : (zero_zero(X2) != X1 | ~sP130(X2,X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f28958])).
% 59.37/10.04  tff(f69482,plain,(
% 59.37/10.04    spl2737_1025),
% 59.37/10.04    inference(avatar_split_clause,[],[f52620,f69480])).
% 59.37/10.04  tff(f69480,plain,(
% 59.37/10.04    spl2737_1025 <=> ! [X1 : $tType,X2 : X1] : sP43(X1,zero_zero(X1),X2)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1025])])).
% 59.37/10.04  tff(f52620,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X2 : X1] : (sP43(X1,zero_zero(X1),X2)) )),
% 59.37/10.04    inference(equality_resolution,[],[f37903])).
% 59.37/10.04  tff(f37903,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X2 : X1,X0 : X1] : (sP43(X1,X0,X2) | zero_zero(X1) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f28575])).
% 59.37/10.04  tff(f28575,plain,(
% 59.37/10.04    ! [X0 : X1,X1 : $tType,X2 : X1] : ((sP43(X1,X0,X2) | (zero_zero(X1) != X0 & (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),X2)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),zero_zero(X1)))) & (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X0)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0))))) & (zero_zero(X1) = X0 | (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),zero_zero(X1)))) | (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X2),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0))) | ~sP43(X1,X0,X2)))),
% 59.37/10.04    inference(rectify,[],[f28574])).
% 59.37/10.04  tff(f28574,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP43(X0,X2,X1) | (zero_zero(X0) != X2 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) & (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) | ~sP43(X0,X2,X1)))),
% 59.37/10.04    inference(flattening,[],[f28573])).
% 59.37/10.04  tff(f28573,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP43(X0,X2,X1) | (zero_zero(X0) != X2 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) & ((zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))) | ~sP43(X0,X2,X1)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27156])).
% 59.37/10.04  tff(f27156,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP43(X0,X2,X1) <=> (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])])).
% 59.37/10.04  tff(f69478,plain,(
% 59.37/10.04    spl2737_1024),
% 59.37/10.04    inference(avatar_split_clause,[],[f52619,f69476])).
% 59.37/10.04  tff(f69476,plain,(
% 59.37/10.04    spl2737_1024 <=> ! [X1 : $tType,X2 : X1] : sP39(X1,zero_zero(X1),X2)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1024])])).
% 59.37/10.04  tff(f52619,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X2 : X1] : (sP39(X1,zero_zero(X1),X2)) )),
% 59.37/10.04    inference(equality_resolution,[],[f37884])).
% 59.37/10.04  tff(f37884,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X2 : X1,X0 : X1] : (sP39(X1,X0,X2) | zero_zero(X1) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f28567])).
% 59.37/10.04  tff(f28567,plain,(
% 59.37/10.04    ! [X0 : X1,X1 : $tType,X2 : X1] : ((sP39(X1,X0,X2) | (zero_zero(X1) != X0 & (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X0),X2)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),zero_zero(X1)))) & (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X2),X0)) | ~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0))))) & (zero_zero(X1) = X0 | (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X0),X2)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),X0),zero_zero(X1)))) | (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X2),X0)) & pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0))) | ~sP39(X1,X0,X2)))),
% 59.37/10.04    inference(rectify,[],[f28566])).
% 59.37/10.04  tff(f28566,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP39(X0,X2,X1) | (zero_zero(X0) != X2 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) & (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) | ~sP39(X0,X2,X1)))),
% 59.37/10.04    inference(flattening,[],[f28565])).
% 59.37/10.04  tff(f28565,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP39(X0,X2,X1) | (zero_zero(X0) != X2 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) & ((zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))) | ~sP39(X0,X2,X1)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27150])).
% 59.37/10.04  tff(f27150,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP39(X0,X2,X1) <=> (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])])).
% 59.37/10.04  tff(f69474,plain,(
% 59.37/10.04    spl2737_1023),
% 59.37/10.04    inference(avatar_split_clause,[],[f52540,f69472])).
% 59.37/10.04  tff(f69472,plain,(
% 59.37/10.04    spl2737_1023 <=> ! [X2 : $tType,X1 : X2] : sP3(X2,zero_zero(real),X1)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1023])])).
% 59.37/10.04  tff(f52540,plain,(
% 59.37/10.04    ( ! [X2 : $tType,X1 : X2] : (sP3(X2,zero_zero(real),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f36480])).
% 59.37/10.04  tff(f36480,plain,(
% 59.37/10.04    ( ! [X2 : $tType,X0 : real,X1 : X2] : (sP3(X2,X0,X1) | zero_zero(real) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27980])).
% 59.37/10.04  tff(f27980,plain,(
% 59.37/10.04    ! [X0 : real,X1 : X2,X2 : $tType] : ((sP3(X2,X0,X1) | (zero_zero(real) != X0 & (~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),zero_zero(X2)),X1)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),zero_zero(real)))) & (~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),zero_zero(X2))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0))))) & (zero_zero(real) = X0 | (pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),zero_zero(X2)),X1)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),zero_zero(real)))) | (pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),zero_zero(X2))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0))) | ~sP3(X2,X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f27979])).
% 59.37/10.04  tff(f27979,plain,(
% 59.37/10.04    ! [X1 : real,X2 : X0,X0 : $tType] : ((sP3(X0,X1,X2) | (zero_zero(real) != X1 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))) & (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))) | ~sP3(X0,X1,X2)))),
% 59.37/10.04    inference(flattening,[],[f27978])).
% 59.37/10.04  tff(f27978,plain,(
% 59.37/10.04    ! [X1 : real,X2 : X0,X0 : $tType] : ((sP3(X0,X1,X2) | (zero_zero(real) != X1 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))) & ((zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))) | ~sP3(X0,X1,X2)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27096])).
% 59.37/10.04  tff(f27096,plain,(
% 59.37/10.04    ! [X1 : real,X2 : X0,X0 : $tType] : (sP3(X0,X1,X2) <=> (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])).
% 59.37/10.04  tff(f69470,plain,(
% 59.37/10.04    spl2737_1022),
% 59.37/10.04    inference(avatar_split_clause,[],[f52539,f69468])).
% 59.37/10.04  tff(f69468,plain,(
% 59.37/10.04    spl2737_1022 <=> ! [X1 : $tType,X2 : X1] : sP1(X1,zero_zero(real),X2)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1022])])).
% 59.37/10.04  tff(f52539,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X2 : X1] : (sP1(X1,zero_zero(real),X2)) )),
% 59.37/10.04    inference(equality_resolution,[],[f36470])).
% 59.37/10.04  tff(f36470,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X2 : X1,X0 : real] : (sP1(X1,X0,X2) | zero_zero(real) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27976])).
% 59.37/10.04  tff(f27976,plain,(
% 59.37/10.04    ! [X0 : real,X1 : $tType,X2 : X1] : ((sP1(X1,X0,X2) | (zero_zero(real) != X0 & (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),zero_zero(real)))) & (~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0))))) & (zero_zero(real) = X0 | (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X0),zero_zero(real)))) | (pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X0))) | ~sP1(X1,X0,X2)))),
% 59.37/10.04    inference(rectify,[],[f27975])).
% 59.37/10.04  tff(f27975,plain,(
% 59.37/10.04    ! [X1 : real,X0 : $tType,X2 : X0] : ((sP1(X0,X1,X2) | (zero_zero(real) != X1 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))) & (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))) | ~sP1(X0,X1,X2)))),
% 59.37/10.04    inference(flattening,[],[f27974])).
% 59.37/10.04  tff(f27974,plain,(
% 59.37/10.04    ! [X1 : real,X0 : $tType,X2 : X0] : ((sP1(X0,X1,X2) | (zero_zero(real) != X1 & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))) & ((zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))) | ~sP1(X0,X1,X2)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27093])).
% 59.37/10.04  tff(f27093,plain,(
% 59.37/10.04    ! [X1 : real,X0 : $tType,X2 : X0] : (sP1(X0,X1,X2) <=> (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).
% 59.37/10.04  tff(f69466,plain,(
% 59.37/10.04    spl2737_1021 | ~spl2737_76 | ~spl2737_885),
% 59.37/10.04    inference(avatar_split_clause,[],[f69014,f68597,f64599,f69463])).
% 59.37/10.04  tff(f69463,plain,(
% 59.37/10.04    spl2737_1021 <=> sP18(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1021])])).
% 59.37/10.04  tff(f69014,plain,(
% 59.37/10.04    sP18(complex) | (~spl2737_76 | ~spl2737_885)),
% 59.37/10.04    inference(resolution,[],[f68598,f64601])).
% 59.37/10.04  tff(f69461,plain,(
% 59.37/10.04    spl2737_1020),
% 59.37/10.04    inference(avatar_split_clause,[],[f48237,f69459])).
% 59.37/10.04  tff(f69459,plain,(
% 59.37/10.04    spl2737_1020 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP457(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1020])])).
% 59.37/10.04  tff(f48237,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP457(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33059])).
% 59.37/10.04  tff(f69457,plain,(
% 59.37/10.04    spl2737_1019),
% 59.37/10.04    inference(avatar_split_clause,[],[f48235,f69455])).
% 59.37/10.04  tff(f69455,plain,(
% 59.37/10.04    spl2737_1019 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP458(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1019])])).
% 59.37/10.04  tff(f48235,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP458(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33055])).
% 59.37/10.04  tff(f33055,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2268(X1)),zero_zero(nat),sK2269(X1),sK2270(X1)) = X1) | ~sP458(X0,X1))),
% 59.37/10.04    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2268,sK2269,sK2270])],[f33053,f33054])).
% 59.37/10.04  tff(f33054,plain,(
% 59.37/10.04    ! [X1 : vEBT_VEBT] : (? [X2 : product_prod(nat,nat),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),zero_zero(nat),X3,X4) = X1 => vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2268(X1)),zero_zero(nat),sK2269(X1),sK2270(X1)) = X1)),
% 59.37/10.04    introduced(choice_axiom,[])).
% 59.37/10.04  tff(f33053,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : product_prod(nat,nat),X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),zero_zero(nat),X3,X4) = X1) | ~sP458(X0,X1))),
% 59.37/10.04    inference(rectify,[],[f33052])).
% 59.37/10.04  tff(f33052,plain,(
% 59.37/10.04    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10) = X0) | ~sP458(X2,X0))),
% 59.37/10.04    inference(nnf_transformation,[],[f27764])).
% 59.37/10.04  tff(f27764,plain,(
% 59.37/10.04    ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X8 : product_prod(nat,nat),X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X8),zero_zero(nat),X9,X10) = X0) | ~sP458(X2,X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP458])])).
% 59.37/10.04  tff(f69453,plain,(
% 59.37/10.04    spl2737_1018),
% 59.37/10.04    inference(avatar_split_clause,[],[f48173,f69451])).
% 59.37/10.04  tff(f69451,plain,(
% 59.37/10.04    spl2737_1018 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP440(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1018])])).
% 59.37/10.04  tff(f48173,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP440(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32996])).
% 59.37/10.04  tff(f69449,plain,(
% 59.37/10.04    spl2737_1017),
% 59.37/10.04    inference(avatar_split_clause,[],[f48171,f69447])).
% 59.37/10.04  tff(f69447,plain,(
% 59.37/10.04    spl2737_1017 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP441(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1017])])).
% 59.37/10.04  tff(f48171,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP441(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32992])).
% 59.37/10.04  tff(f69445,plain,(
% 59.37/10.04    spl2737_1016),
% 59.37/10.04    inference(avatar_split_clause,[],[f47072,f69443])).
% 59.37/10.04  tff(f69443,plain,(
% 59.37/10.04    spl2737_1016 <=> ! [X2 : nat,X0 : bool,X1 : bool] : ~vEBT_VEBT_membermima(vEBT_Leaf(X0,X1),X2)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1016])])).
% 59.37/10.04  tff(f47072,plain,(
% 59.37/10.04    ( ! [X2 : nat,X0 : bool,X1 : bool] : (~vEBT_VEBT_membermima(vEBT_Leaf(X0,X1),X2)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f16729])).
% 59.37/10.04  tff(f16729,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : bool,X2 : nat] : ~vEBT_VEBT_membermima(vEBT_Leaf(X0,X1),X2)),
% 59.37/10.04    inference(rectify,[],[f390])).
% 59.37/10.04  tff(f390,axiom,(
% 59.37/10.04    ! [X94 : bool,X95 : bool,X99 : nat] : ~vEBT_VEBT_membermima(vEBT_Leaf(X94,X95),X99)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_389_VEBT__internal_Omembermima_Osimps_I1_J)).
% 59.37/10.04  tff(f69441,plain,(
% 59.37/10.04    spl2737_1015),
% 59.37/10.04    inference(avatar_split_clause,[],[f46137,f69439])).
% 59.37/10.04  tff(f69439,plain,(
% 59.37/10.04    spl2737_1015 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP332(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1015])])).
% 59.37/10.04  tff(f46137,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP332(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31823])).
% 59.37/10.04  tff(f69437,plain,(
% 59.37/10.04    spl2737_1014),
% 59.37/10.04    inference(avatar_split_clause,[],[f46135,f69435])).
% 59.37/10.04  tff(f69435,plain,(
% 59.37/10.04    spl2737_1014 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP333(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1014])])).
% 59.37/10.04  tff(f46135,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP333(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31821])).
% 59.37/10.04  tff(f69433,plain,(
% 59.37/10.04    spl2737_1013),
% 59.37/10.04    inference(avatar_split_clause,[],[f46133,f69431])).
% 59.37/10.04  tff(f69431,plain,(
% 59.37/10.04    spl2737_1013 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP334(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1013])])).
% 59.37/10.04  tff(f46133,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP334(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31817])).
% 59.37/10.04  tff(f69429,plain,(
% 59.37/10.04    spl2737_1012),
% 59.37/10.04    inference(avatar_split_clause,[],[f46128,f69427])).
% 59.37/10.04  tff(f69427,plain,(
% 59.37/10.04    spl2737_1012 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP326(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1012])])).
% 59.37/10.04  tff(f46128,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP326(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31812])).
% 59.37/10.04  tff(f69425,plain,(
% 59.37/10.04    spl2737_1011),
% 59.37/10.04    inference(avatar_split_clause,[],[f46125,f69423])).
% 59.37/10.04  tff(f69423,plain,(
% 59.37/10.04    spl2737_1011 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP327(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1011])])).
% 59.37/10.04  tff(f46125,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP327(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31810])).
% 59.37/10.04  tff(f69421,plain,(
% 59.37/10.04    spl2737_1010 | ~spl2737_77 | ~spl2737_884),
% 59.37/10.04    inference(avatar_split_clause,[],[f69013,f68593,f64604,f69418])).
% 59.37/10.04  tff(f69418,plain,(
% 59.37/10.04    spl2737_1010 <=> sP15(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1010])])).
% 59.37/10.04  tff(f68593,plain,(
% 59.37/10.04    spl2737_884 <=> ! [X0 : $tType] : (sP15(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_884])])).
% 59.37/10.04  tff(f69013,plain,(
% 59.37/10.04    sP15(real) | (~spl2737_77 | ~spl2737_884)),
% 59.37/10.04    inference(resolution,[],[f68594,f64606])).
% 59.37/10.04  tff(f68594,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP15(X0)) ) | ~spl2737_884),
% 59.37/10.04    inference(avatar_component_clause,[],[f68593])).
% 59.37/10.04  tff(f69416,plain,(
% 59.37/10.04    spl2737_1009),
% 59.37/10.04    inference(avatar_split_clause,[],[f46122,f69414])).
% 59.37/10.04  tff(f69414,plain,(
% 59.37/10.04    spl2737_1009 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP328(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1009])])).
% 59.37/10.04  tff(f46122,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP328(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31806])).
% 59.37/10.04  tff(f69412,plain,(
% 59.37/10.04    spl2737_1008),
% 59.37/10.04    inference(avatar_split_clause,[],[f46119,f69410])).
% 59.37/10.04  tff(f69410,plain,(
% 59.37/10.04    spl2737_1008 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP329(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1008])])).
% 59.37/10.04  tff(f46119,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP329(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31802])).
% 59.37/10.04  tff(f31802,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(none(product_prod(nat,nat)),sK1840(X0,X1),sK1841(X0,X1),sK1842(X0,X1))) & pp(X0) & vEBT_Node(none(product_prod(nat,nat)),sK1840(X0,X1),sK1841(X0,X1),sK1842(X0,X1)) = X1) | ~sP329(X0,X1))),
% 59.37/10.04    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1840,sK1841,sK1842])],[f31800,f31801])).
% 59.37/10.04  tff(f31801,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4)) & pp(X0) & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(none(product_prod(nat,nat)),sK1840(X0,X1),sK1841(X0,X1),sK1842(X0,X1))) & pp(X0) & vEBT_Node(none(product_prod(nat,nat)),sK1840(X0,X1),sK1841(X0,X1),sK1842(X0,X1)) = X1))),
% 59.37/10.04    introduced(choice_axiom,[])).
% 59.37/10.04  tff(f31800,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4)) & pp(X0) & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP329(X0,X1))),
% 59.37/10.04    inference(rectify,[],[f31799])).
% 59.37/10.04  tff(f31799,plain,(
% 59.37/10.04    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6)) & pp(X1) & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP329(X1,X0))),
% 59.37/10.04    inference(nnf_transformation,[],[f27587])).
% 59.37/10.04  tff(f27587,plain,(
% 59.37/10.04    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6)) & pp(X1) & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP329(X1,X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP329])])).
% 59.37/10.04  tff(f69408,plain,(
% 59.37/10.04    spl2737_1007),
% 59.37/10.04    inference(avatar_split_clause,[],[f46116,f69406])).
% 59.37/10.04  tff(f69406,plain,(
% 59.37/10.04    spl2737_1007 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP330(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1007])])).
% 59.37/10.04  tff(f46116,plain,(
% 59.37/10.04    ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP330(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31798])).
% 59.37/10.04  tff(f31798,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK1836(X0,X1)),sK1837(X0,X1),sK1838(X0,X1),sK1839(X0,X1))) & ~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK1836(X0,X1)),sK1837(X0,X1),sK1838(X0,X1),sK1839(X0,X1)) = X1) | ~sP330(X0,X1))),
% 59.37/10.04    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1836,sK1837,sK1838,sK1839])],[f31796,f31797])).
% 59.37/10.04  tff(f31797,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : product_prod(nat,nat),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5)) & ~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5) = X1) => (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK1836(X0,X1)),sK1837(X0,X1),sK1838(X0,X1),sK1839(X0,X1))) & ~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK1836(X0,X1)),sK1837(X0,X1),sK1838(X0,X1),sK1839(X0,X1)) = X1))),
% 59.37/10.04    introduced(choice_axiom,[])).
% 59.37/10.04  tff(f31796,plain,(
% 59.37/10.04    ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : product_prod(nat,nat),X3 : nat,X4 : list(vEBT_VEBT),X5 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5)) & ~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X2),X3,X4,X5) = X1) | ~sP330(X0,X1))),
% 59.37/10.04    inference(rectify,[],[f31795])).
% 59.37/10.04  tff(f31795,plain,(
% 59.37/10.04    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X7 : product_prod(nat,nat),X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10) = X0) | ~sP330(X1,X0))),
% 59.37/10.04    inference(nnf_transformation,[],[f27588])).
% 59.37/10.04  tff(f27588,plain,(
% 59.37/10.04    ! [X1 : bool,X0 : vEBT_VEBT] : (? [X7 : product_prod(nat,nat),X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),X7),X8,X9,X10) = X0) | ~sP330(X1,X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP330])])).
% 59.37/10.04  tff(f69404,plain,(
% 59.37/10.04    spl2737_1006),
% 59.37/10.04    inference(avatar_split_clause,[],[f44353,f69402])).
% 59.37/10.04  tff(f69402,plain,(
% 59.37/10.04    spl2737_1006 <=> ! [X1 : $tType,X0 : $tType] : (sP245(X0,X1) | ~topolo2564578578187576103pology(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1006])])).
% 59.37/10.04  tff(f44353,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (sP245(X0,X1) | ~topolo2564578578187576103pology(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27458])).
% 59.37/10.04  tff(f27458,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (sP245(X0,X1) | ~topolo2564578578187576103pology(X0))),
% 59.37/10.04    inference(definition_folding,[],[f23937,f27457,f27456])).
% 59.37/10.04  tff(f27456,plain,(
% 59.37/10.04    ! [X4 : filter(X1),X2 : fun(X1,X0),X1 : $tType,X0 : $tType,X3 : X0] : (sP244(X1,X0,X4,X2,X3) <=> (! [X5 : X0] : (eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_ww(fun(X1,X0),fun(X0,fun(X1,bool)),X2),X5),X4) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X5))) & ! [X6 : X0] : (eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_wv(fun(X1,X0),fun(X0,fun(X1,bool)),X2),X6),X4) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X6),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP244])])).
% 59.37/10.04  tff(f23937,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) <=> (! [X5 : X0] : (eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_ww(fun(X1,X0),fun(X0,fun(X1,bool)),X2),X5),X4) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X5))) & ! [X6 : X0] : (eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_wv(fun(X1,X0),fun(X0,fun(X1,bool)),X2),X6),X4) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X6),X3))))) | ~topolo2564578578187576103pology(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f15404])).
% 59.37/10.04  tff(f15404,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (topolo2564578578187576103pology(X0) => ! [X2 : fun(X1,X0),X3 : X0,X4 : filter(X1)] : (filterlim(X1,X0,X2,topolo7230453075368039082e_nhds(X0,X3),X4) <=> (! [X5 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X5)) => eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_ww(fun(X1,X0),fun(X0,fun(X1,bool)),X2),X5),X4)) & ! [X6 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X6),X3)) => eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_wv(fun(X1,X0),fun(X0,fun(X1,bool)),X2),X6),X4)))))),
% 59.37/10.04    inference(rectify,[],[f6004])).
% 59.37/10.04  tff(f6004,axiom,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : (topolo2564578578187576103pology(X0) => ! [X32 : fun(X1,X0),X14 : X0,X121 : filter(X1)] : (filterlim(X1,X0,X32,topolo7230453075368039082e_nhds(X0,X14),X121) <=> (! [X291 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X14),X291)) => eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_ww(fun(X1,X0),fun(X0,fun(X1,bool)),X32),X291),X121)) & ! [X204 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X204),X14)) => eventually(X1,aa(X0,fun(X1,bool),aTP_Lamp_wv(fun(X1,X0),fun(X0,fun(X1,bool)),X32),X204),X121)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6003_order__tendsto__iff)).
% 59.37/10.04  tff(f69400,plain,(
% 59.37/10.04    spl2737_1005),
% 59.37/10.04    inference(avatar_split_clause,[],[f35779,f69398])).
% 59.37/10.04  tff(f69398,plain,(
% 59.37/10.04    spl2737_1005 <=> ! [X0 : set(nat)] : inj_on(nat,nat,suc,X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1005])])).
% 59.37/10.04  tff(f35779,plain,(
% 59.37/10.04    ( ! [X0 : set(nat)] : (inj_on(nat,nat,suc,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9949])).
% 59.37/10.04  tff(f9949,plain,(
% 59.37/10.04    ! [X0 : set(nat)] : inj_on(nat,nat,suc,X0)),
% 59.37/10.04    inference(rectify,[],[f6205])).
% 59.37/10.04  tff(f6205,axiom,(
% 59.37/10.04    ! [X143 : set(nat)] : inj_on(nat,nat,suc,X143)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6204_inj__Suc)).
% 59.37/10.04  tff(f69396,plain,(
% 59.37/10.04    spl2737_1004),
% 59.37/10.04    inference(avatar_split_clause,[],[f35778,f69394])).
% 59.37/10.04  tff(f69394,plain,(
% 59.37/10.04    spl2737_1004 <=> ! [X0 : set(nat)] : inj_on(nat,int,nat_int_decode,X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1004])])).
% 59.37/10.04  tff(f35778,plain,(
% 59.37/10.04    ( ! [X0 : set(nat)] : (inj_on(nat,int,nat_int_decode,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9948])).
% 59.37/10.04  tff(f9948,plain,(
% 59.37/10.04    ! [X0 : set(nat)] : inj_on(nat,int,nat_int_decode,X0)),
% 59.37/10.04    inference(rectify,[],[f6206])).
% 59.37/10.04  tff(f6206,axiom,(
% 59.37/10.04    ! [X30 : set(nat)] : inj_on(nat,int,nat_int_decode,X30)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6205_inj__int__decode)).
% 59.37/10.04  tff(f69392,plain,(
% 59.37/10.04    spl2737_1003),
% 59.37/10.04    inference(avatar_split_clause,[],[f35777,f69390])).
% 59.37/10.04  tff(f69390,plain,(
% 59.37/10.04    spl2737_1003 <=> ! [X0 : set(int)] : inj_on(int,nat,nat_int_encode,X0)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1003])])).
% 59.37/10.04  tff(f35777,plain,(
% 59.37/10.04    ( ! [X0 : set(int)] : (inj_on(int,nat,nat_int_encode,X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9947])).
% 59.37/10.04  tff(f9947,plain,(
% 59.37/10.04    ! [X0 : set(int)] : inj_on(int,nat,nat_int_encode,X0)),
% 59.37/10.04    inference(rectify,[],[f6208])).
% 59.37/10.04  tff(f6208,axiom,(
% 59.37/10.04    ! [X30 : set(int)] : inj_on(int,nat,nat_int_encode,X30)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6207_inj__int__encode)).
% 59.37/10.04  tff(f69388,plain,(
% 59.37/10.04    spl2737_1002),
% 59.37/10.04    inference(avatar_split_clause,[],[f35776,f69386])).
% 59.37/10.04  tff(f69386,plain,(
% 59.37/10.04    spl2737_1002 <=> ! [X0 : num] : pow(X0,one2) = X0),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1002])])).
% 59.37/10.04  tff(f35776,plain,(
% 59.37/10.04    ( ! [X0 : num] : (pow(X0,one2) = X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9946])).
% 59.37/10.04  tff(f9946,plain,(
% 59.37/10.04    ! [X0 : num] : pow(X0,one2) = X0),
% 59.37/10.04    inference(rectify,[],[f2364])).
% 59.37/10.04  tff(f2364,axiom,(
% 59.37/10.04    ! [X14 : num] : pow(X14,one2) = X14),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2363_pow_Osimps_I1_J)).
% 59.37/10.04  tff(f69384,plain,(
% 59.37/10.04    spl2737_1001),
% 59.37/10.04    inference(avatar_split_clause,[],[f35401,f69381])).
% 59.37/10.04  tff(f69381,plain,(
% 59.37/10.04    spl2737_1001 <=> transp(fun(nat,rat),realrel)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1001])])).
% 59.37/10.04  tff(f35401,plain,(
% 59.37/10.04    transp(fun(nat,rat),realrel)),
% 59.37/10.04    inference(cnf_transformation,[],[f7063])).
% 59.37/10.04  tff(f7063,axiom,(
% 59.37/10.04    transp(fun(nat,rat),realrel)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7062_transp__realrel)).
% 59.37/10.04  tff(f69379,plain,(
% 59.37/10.04    spl2737_1000),
% 59.37/10.04    inference(avatar_split_clause,[],[f35397,f69376])).
% 59.37/10.04  tff(f69376,plain,(
% 59.37/10.04    spl2737_1000 <=> zero_zero(nat) = size_num(one2)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_1000])])).
% 59.37/10.04  tff(f69374,plain,(
% 59.37/10.04    spl2737_999 | ~spl2737_76 | ~spl2737_884),
% 59.37/10.04    inference(avatar_split_clause,[],[f69012,f68593,f64599,f69371])).
% 59.37/10.04  tff(f69371,plain,(
% 59.37/10.04    spl2737_999 <=> sP15(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_999])])).
% 59.37/10.04  tff(f69012,plain,(
% 59.37/10.04    sP15(complex) | (~spl2737_76 | ~spl2737_884)),
% 59.37/10.04    inference(resolution,[],[f68594,f64601])).
% 59.37/10.04  tff(f69369,plain,(
% 59.37/10.04    spl2737_998),
% 59.37/10.04    inference(avatar_split_clause,[],[f35393,f69366])).
% 59.37/10.04  tff(f69364,plain,(
% 59.37/10.04    spl2737_997),
% 59.37/10.04    inference(avatar_split_clause,[],[f35392,f69361])).
% 59.37/10.04  tff(f69361,plain,(
% 59.37/10.04    spl2737_997 <=> one_one(code_integer) = code_integer_of_num(one2)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_997])])).
% 59.37/10.04  tff(f69359,plain,(
% 59.37/10.04    ~spl2737_996),
% 59.37/10.04    inference(avatar_split_clause,[],[f35390,f69356])).
% 59.37/10.04  tff(f69356,plain,(
% 59.37/10.04    spl2737_996 <=> zero_zero(extended_enat) = one_one(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_996])])).
% 59.37/10.04  tff(f35390,plain,(
% 59.37/10.04    zero_zero(extended_enat) != one_one(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f7225])).
% 59.37/10.04  tff(f7225,axiom,(
% 59.37/10.04    zero_zero(extended_enat) != one_one(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7224_zero__one__enat__neq_I1_J)).
% 59.37/10.04  tff(f69354,plain,(
% 59.37/10.04    ~spl2737_995),
% 59.37/10.04    inference(avatar_split_clause,[],[f35389,f69351])).
% 59.37/10.04  tff(f69351,plain,(
% 59.37/10.04    spl2737_995 <=> one_one(extended_enat) = extend4730790105801354508finity(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_995])])).
% 59.37/10.04  tff(f35389,plain,(
% 59.37/10.04    one_one(extended_enat) != extend4730790105801354508finity(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f7224])).
% 59.37/10.04  tff(f7224,axiom,(
% 59.37/10.04    one_one(extended_enat) != extend4730790105801354508finity(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7223_infinity__ne__i1)).
% 59.37/10.04  tff(f69349,plain,(
% 59.37/10.04    spl2737_994 | ~spl2737_77 | ~spl2737_883),
% 59.37/10.04    inference(avatar_split_clause,[],[f69011,f68589,f64604,f69346])).
% 59.37/10.04  tff(f69346,plain,(
% 59.37/10.04    spl2737_994 <=> sP13(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_994])])).
% 59.37/10.04  tff(f68589,plain,(
% 59.37/10.04    spl2737_883 <=> ! [X0 : $tType] : (sP13(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_883])])).
% 59.37/10.04  tff(f69011,plain,(
% 59.37/10.04    sP13(real) | (~spl2737_77 | ~spl2737_883)),
% 59.37/10.04    inference(resolution,[],[f68590,f64606])).
% 59.37/10.04  tff(f68590,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP13(X0)) ) | ~spl2737_883),
% 59.37/10.04    inference(avatar_component_clause,[],[f68589])).
% 59.37/10.04  tff(f69344,plain,(
% 59.37/10.04    spl2737_993 | ~spl2737_76 | ~spl2737_883),
% 59.37/10.04    inference(avatar_split_clause,[],[f69010,f68589,f64599,f69341])).
% 59.37/10.04  tff(f69341,plain,(
% 59.37/10.04    spl2737_993 <=> sP13(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_993])])).
% 59.37/10.04  tff(f69010,plain,(
% 59.37/10.04    sP13(complex) | (~spl2737_76 | ~spl2737_883)),
% 59.37/10.04    inference(resolution,[],[f68590,f64601])).
% 59.37/10.04  tff(f69276,plain,(
% 59.37/10.04    spl2737_992 | ~spl2737_77 | ~spl2737_882),
% 59.37/10.04    inference(avatar_split_clause,[],[f69009,f68585,f64604,f69273])).
% 59.37/10.04  tff(f69273,plain,(
% 59.37/10.04    spl2737_992 <=> sP11(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_992])])).
% 59.37/10.04  tff(f68585,plain,(
% 59.37/10.04    spl2737_882 <=> ! [X0 : $tType] : (sP11(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_882])])).
% 59.37/10.04  tff(f69009,plain,(
% 59.37/10.04    sP11(real) | (~spl2737_77 | ~spl2737_882)),
% 59.37/10.04    inference(resolution,[],[f68586,f64606])).
% 59.37/10.04  tff(f68586,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP11(X0)) ) | ~spl2737_882),
% 59.37/10.04    inference(avatar_component_clause,[],[f68585])).
% 59.37/10.04  tff(f69215,plain,(
% 59.37/10.04    spl2737_991 | ~spl2737_76 | ~spl2737_882),
% 59.37/10.04    inference(avatar_split_clause,[],[f69008,f68585,f64599,f69212])).
% 59.37/10.04  tff(f69212,plain,(
% 59.37/10.04    spl2737_991 <=> sP11(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_991])])).
% 59.37/10.04  tff(f69008,plain,(
% 59.37/10.04    sP11(complex) | (~spl2737_76 | ~spl2737_882)),
% 59.37/10.04    inference(resolution,[],[f68586,f64601])).
% 59.37/10.04  tff(f69170,plain,(
% 59.37/10.04    spl2737_990 | ~spl2737_41 | ~spl2737_881),
% 59.37/10.04    inference(avatar_split_clause,[],[f69007,f68581,f64424,f69167])).
% 59.37/10.04  tff(f69167,plain,(
% 59.37/10.04    spl2737_990 <=> sP8(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_990])])).
% 59.37/10.04  tff(f64424,plain,(
% 59.37/10.04    spl2737_41 <=> real_V7819770556892013058_space(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_41])])).
% 59.37/10.04  tff(f68581,plain,(
% 59.37/10.04    spl2737_881 <=> ! [X0 : $tType] : (sP8(X0) | ~real_V7819770556892013058_space(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_881])])).
% 59.37/10.04  tff(f69007,plain,(
% 59.37/10.04    sP8(real) | (~spl2737_41 | ~spl2737_881)),
% 59.37/10.04    inference(resolution,[],[f68582,f64426])).
% 59.37/10.04  tff(f64426,plain,(
% 59.37/10.04    real_V7819770556892013058_space(real) | ~spl2737_41),
% 59.37/10.04    inference(avatar_component_clause,[],[f64424])).
% 59.37/10.04  tff(f68582,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP8(X0)) ) | ~spl2737_881),
% 59.37/10.04    inference(avatar_component_clause,[],[f68581])).
% 59.37/10.04  tff(f69129,plain,(
% 59.37/10.04    spl2737_989 | ~spl2737_39 | ~spl2737_881),
% 59.37/10.04    inference(avatar_split_clause,[],[f69006,f68581,f64414,f69126])).
% 59.37/10.04  tff(f69126,plain,(
% 59.37/10.04    spl2737_989 <=> sP8(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_989])])).
% 59.37/10.04  tff(f64414,plain,(
% 59.37/10.04    spl2737_39 <=> real_V7819770556892013058_space(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_39])])).
% 59.37/10.04  tff(f69006,plain,(
% 59.37/10.04    sP8(complex) | (~spl2737_39 | ~spl2737_881)),
% 59.37/10.04    inference(resolution,[],[f68582,f64416])).
% 59.37/10.04  tff(f64416,plain,(
% 59.37/10.04    real_V7819770556892013058_space(complex) | ~spl2737_39),
% 59.37/10.04    inference(avatar_component_clause,[],[f64414])).
% 59.37/10.04  tff(f69096,plain,(
% 59.37/10.04    spl2737_988 | ~spl2737_41 | ~spl2737_880),
% 59.37/10.04    inference(avatar_split_clause,[],[f69005,f68577,f64424,f69093])).
% 59.37/10.04  tff(f69093,plain,(
% 59.37/10.04    spl2737_988 <=> sP6(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_988])])).
% 59.37/10.04  tff(f68577,plain,(
% 59.37/10.04    spl2737_880 <=> ! [X0 : $tType] : (sP6(X0) | ~real_V7819770556892013058_space(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_880])])).
% 59.37/10.04  tff(f69005,plain,(
% 59.37/10.04    sP6(real) | (~spl2737_41 | ~spl2737_880)),
% 59.37/10.04    inference(resolution,[],[f68578,f64426])).
% 59.37/10.04  tff(f68578,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP6(X0)) ) | ~spl2737_880),
% 59.37/10.04    inference(avatar_component_clause,[],[f68577])).
% 59.37/10.04  tff(f69071,plain,(
% 59.37/10.04    spl2737_987 | ~spl2737_39 | ~spl2737_880),
% 59.37/10.04    inference(avatar_split_clause,[],[f69004,f68577,f64414,f69068])).
% 59.37/10.04  tff(f69068,plain,(
% 59.37/10.04    spl2737_987 <=> sP6(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_987])])).
% 59.37/10.04  tff(f69004,plain,(
% 59.37/10.04    sP6(complex) | (~spl2737_39 | ~spl2737_880)),
% 59.37/10.04    inference(resolution,[],[f68578,f64416])).
% 59.37/10.04  tff(f69046,plain,(
% 59.37/10.04    spl2737_986 | ~spl2737_7 | ~spl2737_879),
% 59.37/10.04    inference(avatar_split_clause,[],[f69003,f68573,f64254,f69043])).
% 59.37/10.04  tff(f69043,plain,(
% 59.37/10.04    spl2737_986 <=> sP4(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_986])])).
% 59.37/10.04  tff(f64254,plain,(
% 59.37/10.04    spl2737_7 <=> real_V5355595471888546746vector(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_7])])).
% 59.37/10.04  tff(f68573,plain,(
% 59.37/10.04    spl2737_879 <=> ! [X0 : $tType] : (sP4(X0) | ~real_V5355595471888546746vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_879])])).
% 59.37/10.04  tff(f69003,plain,(
% 59.37/10.04    sP4(real) | (~spl2737_7 | ~spl2737_879)),
% 59.37/10.04    inference(resolution,[],[f68574,f64256])).
% 59.37/10.04  tff(f64256,plain,(
% 59.37/10.04    real_V5355595471888546746vector(real) | ~spl2737_7),
% 59.37/10.04    inference(avatar_component_clause,[],[f64254])).
% 59.37/10.04  tff(f68574,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP4(X0)) ) | ~spl2737_879),
% 59.37/10.04    inference(avatar_component_clause,[],[f68573])).
% 59.37/10.04  tff(f69002,plain,(
% 59.37/10.04    spl2737_985 | ~spl2737_7 | ~spl2737_878),
% 59.37/10.04    inference(avatar_split_clause,[],[f68997,f68569,f64254,f68999])).
% 59.37/10.04  tff(f68999,plain,(
% 59.37/10.04    spl2737_985 <=> sP2(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_985])])).
% 59.37/10.04  tff(f68569,plain,(
% 59.37/10.04    spl2737_878 <=> ! [X0 : $tType] : (sP2(X0) | ~real_V5355595471888546746vector(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_878])])).
% 59.37/10.04  tff(f68997,plain,(
% 59.37/10.04    sP2(real) | (~spl2737_7 | ~spl2737_878)),
% 59.37/10.04    inference(resolution,[],[f68570,f64256])).
% 59.37/10.04  tff(f68570,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP2(X0)) ) | ~spl2737_878),
% 59.37/10.04    inference(avatar_component_clause,[],[f68569])).
% 59.37/10.04  tff(f68996,plain,(
% 59.37/10.04    spl2737_984 | ~spl2737_874),
% 59.37/10.04    inference(avatar_split_clause,[],[f68554,f68550,f68993])).
% 59.37/10.04  tff(f68550,plain,(
% 59.37/10.04    spl2737_874 <=> vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_874])])).
% 59.37/10.04  tff(f68554,plain,(
% 59.37/10.04    vEBT_VEBT_minNull(vEBT_vebt_buildup(size_num(one2))) | ~spl2737_874),
% 59.37/10.04    inference(forward_demodulation,[],[f68552,f54029])).
% 59.37/10.04  tff(f68552,plain,(
% 59.37/10.04    vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse)) | ~spl2737_874),
% 59.37/10.04    inference(avatar_component_clause,[],[f68550])).
% 59.37/10.04  tff(f68991,plain,(
% 59.37/10.04    spl2737_983),
% 59.37/10.04    inference(avatar_split_clause,[],[f62206,f68989])).
% 59.37/10.04  tff(f62206,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP477(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53635,f35397])).
% 59.37/10.04  tff(f53635,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP477(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f48567])).
% 59.37/10.04  tff(f48567,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (sP477(X0,X1) | zero_zero(nat) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33378])).
% 59.37/10.04  tff(f68987,plain,(
% 59.37/10.04    spl2737_982),
% 59.37/10.04    inference(avatar_split_clause,[],[f62125,f68985])).
% 59.37/10.04  tff(f62125,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP465(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53609,f35397])).
% 59.37/10.04  tff(f53609,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP465(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f48427])).
% 59.37/10.04  tff(f48427,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (sP465(X0,X1) | zero_zero(nat) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33265])).
% 59.37/10.04  tff(f68983,plain,(
% 59.37/10.04    spl2737_981),
% 59.37/10.04    inference(avatar_split_clause,[],[f62048,f68981])).
% 59.37/10.04  tff(f62048,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP451(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53588,f35397])).
% 59.37/10.04  tff(f53588,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP451(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f48258])).
% 59.37/10.04  tff(f48258,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP451(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33077])).
% 59.37/10.04  tff(f68979,plain,(
% 59.37/10.04    spl2737_980),
% 59.37/10.04    inference(avatar_split_clause,[],[f62015,f68977])).
% 59.37/10.04  tff(f62015,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP442(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53580,f35397])).
% 59.37/10.04  tff(f53580,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP442(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f48229])).
% 59.37/10.04  tff(f48229,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (sP442(X0,X1) | zero_zero(nat) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f33050])).
% 59.37/10.04  tff(f68975,plain,(
% 59.37/10.04    spl2737_979),
% 59.37/10.04    inference(avatar_split_clause,[],[f61827,f68973])).
% 59.37/10.04  tff(f61827,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP414(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53562,f35397])).
% 59.37/10.04  tff(f53562,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP414(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f48095])).
% 59.37/10.04  tff(f48095,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP414(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32918])).
% 59.37/10.04  tff(f68971,plain,(
% 59.37/10.04    spl2737_978),
% 59.37/10.04    inference(avatar_split_clause,[],[f61800,f68969])).
% 59.37/10.04  tff(f61800,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP408(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53556,f35397])).
% 59.37/10.04  tff(f53556,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (sP408(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f48078])).
% 59.37/10.04  tff(f48078,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (sP408(X0,X1) | zero_zero(nat) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32902])).
% 59.37/10.04  tff(f68967,plain,(
% 59.37/10.04    spl2737_977),
% 59.37/10.04    inference(avatar_split_clause,[],[f58845,f68965])).
% 59.37/10.04  tff(f58845,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP301(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53205,f35397])).
% 59.37/10.04  tff(f53205,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP301(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f45146])).
% 59.37/10.04  tff(f45146,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP301(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31364])).
% 59.37/10.04  tff(f68963,plain,(
% 59.37/10.04    spl2737_976),
% 59.37/10.04    inference(avatar_split_clause,[],[f58822,f68961])).
% 59.37/10.04  tff(f58822,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP296(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53202,f35397])).
% 59.37/10.04  tff(f53202,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP296(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f45131])).
% 59.37/10.04  tff(f45131,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP296(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31351])).
% 59.37/10.04  tff(f68959,plain,(
% 59.37/10.04    spl2737_975),
% 59.37/10.04    inference(avatar_split_clause,[],[f58384,f68957])).
% 59.37/10.04  tff(f58384,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP262(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53175,f35397])).
% 59.37/10.04  tff(f53175,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP262(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f44845])).
% 59.37/10.04  tff(f44845,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP262(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31149])).
% 59.37/10.04  tff(f68955,plain,(
% 59.37/10.04    spl2737_974),
% 59.37/10.04    inference(avatar_split_clause,[],[f58380,f68953])).
% 59.37/10.04  tff(f58380,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP259(size_num(one2),X1)) )),
% 59.37/10.04    inference(forward_demodulation,[],[f53172,f35397])).
% 59.37/10.04  tff(f53172,plain,(
% 59.37/10.04    ( ! [X1 : bool] : (~sP259(zero_zero(nat),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f44837])).
% 59.37/10.04  tff(f44837,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP259(X0,X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f31140])).
% 59.37/10.04  tff(f68951,plain,(
% 59.37/10.04    spl2737_973),
% 59.37/10.04    inference(avatar_split_clause,[],[f54221,f68949])).
% 59.37/10.04  tff(f54221,plain,(
% 59.37/10.04    ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,size_num(one2))) )),
% 59.37/10.04    inference(forward_demodulation,[],[f35774,f35397])).
% 59.37/10.04  tff(f35774,plain,(
% 59.37/10.04    ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,zero_zero(nat))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9944])).
% 59.37/10.04  tff(f9944,plain,(
% 59.37/10.04    ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,zero_zero(nat))),
% 59.37/10.04    inference(rectify,[],[f92])).
% 59.37/10.04  tff(f92,axiom,(
% 59.37/10.04    ! [X41 : vEBT_VEBT] : ~vEBT_invar_vebt(X41,zero_zero(nat))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_valid__tree__deg__neq__0)).
% 59.37/10.04  tff(f68947,plain,(
% 59.37/10.04    spl2737_972),
% 59.37/10.04    inference(avatar_split_clause,[],[f53417,f68945])).
% 59.37/10.04  tff(f68945,plain,(
% 59.37/10.04    spl2737_972 <=> ! [X0 : int] : sP359(X0,zero_zero(int))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_972])])).
% 59.37/10.04  tff(f53417,plain,(
% 59.37/10.04    ( ! [X0 : int] : (sP359(X0,zero_zero(int))) )),
% 59.37/10.04    inference(equality_resolution,[],[f46737])).
% 59.37/10.04  tff(f46737,plain,(
% 59.37/10.04    ( ! [X0 : int,X1 : int] : (sP359(X0,X1) | zero_zero(int) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32266])).
% 59.37/10.04  tff(f32266,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int] : ((sP359(X0,X1) | ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) & zero_zero(int) != X0 & zero_zero(int) != X1)) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))) | zero_zero(int) = X0 | zero_zero(int) = X1 | ~sP359(X0,X1)))),
% 59.37/10.04    inference(rectify,[],[f32265])).
% 59.37/10.04  tff(f32265,plain,(
% 59.37/10.04    ! [X1 : int,X0 : int] : ((sP359(X1,X0) | ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int)))) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1 & zero_zero(int) != X0)) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | zero_zero(int) = X0 | ~sP359(X1,X0)))),
% 59.37/10.04    inference(flattening,[],[f32264])).
% 59.37/10.04  tff(f32264,plain,(
% 59.37/10.04    ! [X1 : int,X0 : int] : ((sP359(X1,X0) | ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int)))) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1 & zero_zero(int) != X0)) & (((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | zero_zero(int) = X0) | ~sP359(X1,X0)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27630])).
% 59.37/10.04  tff(f27630,plain,(
% 59.37/10.04    ! [X1 : int,X0 : int] : (sP359(X1,X0) <=> ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),zero_zero(int))) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | zero_zero(int) = X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP359])])).
% 59.37/10.04  tff(f68943,plain,(
% 59.37/10.04    spl2737_971),
% 59.37/10.04    inference(avatar_split_clause,[],[f53416,f68941])).
% 59.37/10.04  tff(f68941,plain,(
% 59.37/10.04    spl2737_971 <=> ! [X1 : int] : sP359(zero_zero(int),X1)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_971])])).
% 59.37/10.04  tff(f53416,plain,(
% 59.37/10.04    ( ! [X1 : int] : (sP359(zero_zero(int),X1)) )),
% 59.37/10.04    inference(equality_resolution,[],[f46738])).
% 59.37/10.04  tff(f46738,plain,(
% 59.37/10.04    ( ! [X0 : int,X1 : int] : (sP359(X0,X1) | zero_zero(int) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32266])).
% 59.37/10.04  tff(f68939,plain,(
% 59.37/10.04    spl2737_970),
% 59.37/10.04    inference(avatar_split_clause,[],[f53322,f68937])).
% 59.37/10.04  tff(f68937,plain,(
% 59.37/10.04    spl2737_970 <=> ! [X0 : int] : sP352(X0,zero_zero(int))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_970])])).
% 59.37/10.04  tff(f53322,plain,(
% 59.37/10.04    ( ! [X0 : int] : (sP352(X0,zero_zero(int))) )),
% 59.37/10.04    inference(equality_resolution,[],[f46372])).
% 59.37/10.04  tff(f46372,plain,(
% 59.37/10.04    ( ! [X0 : int,X1 : int] : (sP352(X0,X1) | zero_zero(int) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32033])).
% 59.37/10.04  tff(f32033,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int] : ((sP352(X0,X1) | ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | ~sP352(X0,X1)))),
% 59.37/10.04    inference(flattening,[],[f32032])).
% 59.37/10.04  tff(f32032,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int] : ((sP352(X0,X1) | ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & (((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1) | ~sP352(X0,X1)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27616])).
% 59.37/10.04  tff(f68935,plain,(
% 59.37/10.04    spl2737_969),
% 59.37/10.04    inference(avatar_split_clause,[],[f53319,f68933])).
% 59.37/10.04  tff(f68933,plain,(
% 59.37/10.04    spl2737_969 <=> ! [X0 : int] : sP351(X0,zero_zero(int))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_969])])).
% 59.37/10.04  tff(f53319,plain,(
% 59.37/10.04    ( ! [X0 : int] : (sP351(X0,zero_zero(int))) )),
% 59.37/10.04    inference(equality_resolution,[],[f46353])).
% 59.37/10.04  tff(f46353,plain,(
% 59.37/10.04    ( ! [X0 : int,X1 : int] : (sP351(X0,X1) | zero_zero(int) != X1) )),
% 59.37/10.04    inference(cnf_transformation,[],[f32022])).
% 59.37/10.04  tff(f32022,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int] : ((sP351(X0,X1) | ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & ((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1 | ~sP351(X0,X1)))),
% 59.37/10.04    inference(flattening,[],[f32021])).
% 59.37/10.04  tff(f32021,plain,(
% 59.37/10.04    ! [X0 : int,X1 : int] : ((sP351(X0,X1) | ((~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) & (~pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) | ~pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) & zero_zero(int) != X1)) & (((pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X1),X0)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),X0),zero_zero(int)))) | (pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),X0),X1)) & pp(aa(int,bool,aa(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X0))) | zero_zero(int) = X1) | ~sP351(X0,X1)))),
% 59.37/10.04    inference(nnf_transformation,[],[f27614])).
% 59.37/10.04  tff(f68931,plain,(
% 59.37/10.04    spl2737_968),
% 59.37/10.04    inference(avatar_split_clause,[],[f52913,f68929])).
% 59.37/10.04  tff(f68929,plain,(
% 59.37/10.04    spl2737_968 <=> ! [X1 : $tType] : sP192(X1,one_one(X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_968])])).
% 59.37/10.04  tff(f52913,plain,(
% 59.37/10.04    ( ! [X1 : $tType] : (sP192(X1,one_one(X1))) )),
% 59.37/10.04    inference(equality_resolution,[],[f40682])).
% 59.37/10.04  tff(f40682,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : X1] : (sP192(X1,X0) | one_one(X1) != X0) )),
% 59.37/10.04    inference(cnf_transformation,[],[f29529])).
% 59.37/10.04  tff(f68927,plain,(
% 59.37/10.04    spl2737_967),
% 59.37/10.04    inference(avatar_split_clause,[],[f43521,f68925])).
% 59.37/10.04  tff(f68925,plain,(
% 59.37/10.04    spl2737_967 <=> ! [X1 : $tType,X0 : $tType] : size(product_prod(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_967])])).
% 59.37/10.04  tff(f43521,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (size(product_prod(X0,X1))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f14704])).
% 59.37/10.04  tff(f14704,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : size(product_prod(X0,X1))),
% 59.37/10.04    inference(rectify,[],[f9675])).
% 59.37/10.04  tff(f9675,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : size(product_prod(X271,X359))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Nat_Osize_522)).
% 59.37/10.04  tff(f68923,plain,(
% 59.37/10.04    spl2737_966),
% 59.37/10.04    inference(avatar_split_clause,[],[f43520,f68921])).
% 59.37/10.04  tff(f68921,plain,(
% 59.37/10.04    spl2737_966 <=> ! [X1 : $tType,X0 : $tType] : size(sum_sum(X0,X1))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_966])])).
% 59.37/10.04  tff(f43520,plain,(
% 59.37/10.04    ( ! [X1 : $tType,X0 : $tType] : (size(sum_sum(X0,X1))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f14703])).
% 59.37/10.04  tff(f14703,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : $tType] : size(sum_sum(X0,X1))),
% 59.37/10.04    inference(rectify,[],[f9512])).
% 59.37/10.04  tff(f9512,axiom,(
% 59.37/10.04    ! [X271 : $tType,X359 : $tType] : size(sum_sum(X271,X359))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Sum__Type_Osum___Nat_Osize_360)).
% 59.37/10.04  tff(f68919,plain,(
% 59.37/10.04    spl2737_965),
% 59.37/10.04    inference(avatar_split_clause,[],[f43519,f68917])).
% 59.37/10.04  tff(f68917,plain,(
% 59.37/10.04    spl2737_965 <=> ! [X0 : nat,X1 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_965])])).
% 59.37/10.04  tff(f43519,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : nat] : (~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f14702])).
% 59.37/10.04  tff(f14702,plain,(
% 59.37/10.04    ! [X0 : nat,X1 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)),
% 59.37/10.04    inference(rectify,[],[f264])).
% 59.37/10.04  tff(f264,axiom,(
% 59.37/10.04    ! [X8 : nat,X14 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X8),X14)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_buildup__nothing__in__min__max)).
% 59.37/10.04  tff(f68915,plain,(
% 59.37/10.04    spl2737_964),
% 59.37/10.04    inference(avatar_split_clause,[],[f43518,f68913])).
% 59.37/10.04  tff(f68913,plain,(
% 59.37/10.04    spl2737_964 <=> ! [X0 : nat,X1 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_964])])).
% 59.37/10.04  tff(f43518,plain,(
% 59.37/10.04    ( ! [X0 : nat,X1 : nat] : (~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f14701])).
% 59.37/10.04  tff(f14701,plain,(
% 59.37/10.04    ! [X0 : nat,X1 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)),
% 59.37/10.04    inference(rectify,[],[f260])).
% 59.37/10.04  tff(f260,axiom,(
% 59.37/10.04    ! [X8 : nat,X14 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X8),X14)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_buildup__nothing__in__leaf)).
% 59.37/10.04  tff(f68911,plain,(
% 59.37/10.04    spl2737_963),
% 59.37/10.04    inference(avatar_split_clause,[],[f42387,f68909])).
% 59.37/10.04  tff(f42387,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP232(X0) | ~ord(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27435])).
% 59.37/10.04  tff(f27435,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP232(X0) | ~ord(X0))),
% 59.37/10.04    inference(definition_folding,[],[f22599,f27434,f27433,f27432,f27431])).
% 59.37/10.04  tff(f27431,plain,(
% 59.37/10.04    ! [X1 : fun(list(X0),fun(list(X0),bool)),X0 : $tType,X3 : list(X0),X2 : list(X0)] : (sP229(X0,X1,X3,X2) <=> ? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),X1,X6),X7)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X5),X4)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5)) & cons(X0,X5,X7) = X3 & cons(X0,X4,X6) = X2))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP229])])).
% 59.37/10.04  tff(f27432,plain,(
% 59.37/10.04    ! [X0 : $tType,X3 : list(X0),X2 : list(X0)] : (sP230(X0,X3,X2) <=> ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),X9)) & cons(X0,X9,X11) = X3 & cons(X0,X8,X10) = X2))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP230])])).
% 59.37/10.04  tff(f27434,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(list(X0),fun(list(X0),bool)),X2 : list(X0),X3 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),aa(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool)),aTP_Lamp_pe(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool))),X1),X2),X3)) <=> sP231(X0,X2,X3,X1)) | ~sP232(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP232])])).
% 59.37/10.04  tff(f22599,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(list(X0),fun(list(X0),bool)),X2 : list(X0),X3 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),aa(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool)),aTP_Lamp_pe(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool))),X1),X2),X3)) <=> (? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),X1,X6),X7)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X5),X4)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5)) & cons(X0,X5,X7) = X3 & cons(X0,X4,X6) = X2) | ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),X9)) & cons(X0,X9,X11) = X3 & cons(X0,X8,X10) = X2) | ? [X12 : X0,X13 : list(X0)] : (cons(X0,X12,X13) = X3 & nil(X0) = X2))) | ~ord(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13954])).
% 59.37/10.04  tff(f13954,plain,(
% 59.37/10.04    ! [X0 : $tType] : (ord(X0) => ! [X1 : fun(list(X0),fun(list(X0),bool)),X2 : list(X0),X3 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),aa(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool)),aTP_Lamp_pe(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool))),X1),X2),X3)) <=> (? [X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),X1,X6),X7)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X5),X4)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5)) & cons(X0,X5,X7) = X3 & cons(X0,X4,X6) = X2) | ? [X8 : X0,X9 : X0,X10 : list(X0),X11 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X8),X9)) & cons(X0,X9,X11) = X3 & cons(X0,X8,X10) = X2) | ? [X12 : X0,X13 : list(X0)] : (cons(X0,X12,X13) = X3 & nil(X0) = X2))))),
% 59.37/10.04    inference(rectify,[],[f8735])).
% 59.37/10.04  tff(f8735,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (ord(X0) => ! [X94 : fun(list(X0),fun(list(X0),bool)),X353 : list(X0),X354 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),aa(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool)),aTP_Lamp_pe(fun(list(X0),fun(list(X0),bool)),fun(list(X0),fun(list(X0),bool))),X94),X353),X354)) <=> (? [X115 : X0,X145 : X0,X168 : list(X0),X241 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),X94,X168),X241)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X145),X115)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X115),X145)) & cons(X0,X145,X241) = X354 & cons(X0,X115,X168) = X353) | ? [X115 : X0,X145 : X0,X168 : list(X0),X241 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X115),X145)) & cons(X0,X145,X241) = X354 & cons(X0,X115,X168) = X353) | ? [X145 : X0,X241 : list(X0)] : (cons(X0,X145,X241) = X354 & nil(X0) = X353))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8734_ATP_Olambda__619)).
% 59.37/10.04  tff(f68907,plain,(
% 59.37/10.04    spl2737_962),
% 59.37/10.04    inference(avatar_split_clause,[],[f42351,f68905])).
% 59.37/10.04  tff(f42351,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP228(X0) | ~ord(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27430])).
% 59.37/10.04  tff(f27430,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP228(X0) | ~ord(X0))),
% 59.37/10.04    inference(definition_folding,[],[f22585,f27429,f27428,f27427,f27426])).
% 59.37/10.04  tff(f27426,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP225(X0,X2,X1) <=> ? [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X5),X6)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) & cons(X0,X4,X6) = X2 & cons(X0,X3,X5) = X1))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP225])])).
% 59.37/10.04  tff(f27427,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP226(X0,X2,X1) <=> ? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2 & cons(X0,X7,X9) = X1))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP226])])).
% 59.37/10.04  tff(f27429,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X1),X2)) <=> sP227(X0,X1,X2)) | ~sP228(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP228])])).
% 59.37/10.04  tff(f22585,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X1),X2)) <=> (? [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X5),X6)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) & cons(X0,X4,X6) = X2 & cons(X0,X3,X5) = X1) | ? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2 & cons(X0,X7,X9) = X1) | ? [X11 : X0,X12 : list(X0)] : (cons(X0,X11,X12) = X2 & nil(X0) = X1))) | ~ord(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13943])).
% 59.37/10.04  tff(f13943,plain,(
% 59.37/10.04    ! [X0 : $tType] : (ord(X0) => ! [X1 : list(X0),X2 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X1),X2)) <=> (? [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X5),X6)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) & cons(X0,X4,X6) = X2 & cons(X0,X3,X5) = X1) | ? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2 & cons(X0,X7,X9) = X1) | ? [X11 : X0,X12 : list(X0)] : (cons(X0,X11,X12) = X2 & nil(X0) = X1))))),
% 59.37/10.04    inference(rectify,[],[f7077])).
% 59.37/10.04  tff(f7077,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (ord(X0) => ! [X179 : list(X0),X180 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X179),X180)) <=> (? [X115 : X0,X145 : X0,X168 : list(X0),X241 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X168),X241)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X145),X115)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X115),X145)) & cons(X0,X145,X241) = X180 & cons(X0,X115,X168) = X179) | ? [X115 : X0,X145 : X0,X168 : list(X0),X241 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X115),X145)) & cons(X0,X145,X241) = X180 & cons(X0,X115,X168) = X179) | ? [X145 : X0,X241 : list(X0)] : (cons(X0,X145,X241) = X180 & nil(X0) = X179))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7076_lexordp_Osimps)).
% 59.37/10.04  tff(f68903,plain,(
% 59.37/10.04    spl2737_961),
% 59.37/10.04    inference(avatar_split_clause,[],[f42331,f68901])).
% 59.37/10.04  tff(f42331,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP224(X0) | ~ord(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27425])).
% 59.37/10.04  tff(f27425,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP224(X0) | ~ord(X0))),
% 59.37/10.04    inference(definition_folding,[],[f22583,f27424,f27423,f27422,f27421])).
% 59.37/10.04  tff(f27422,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP222(X0,X2,X1) <=> ? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2 & cons(X0,X7,X9) = X1))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP222])])).
% 59.37/10.04  tff(f22583,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (ord_lexordp_eq(X0,X1,X2) <=> (? [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (ord_lexordp_eq(X0,X5,X6) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) & cons(X0,X4,X6) = X2 & cons(X0,X3,X5) = X1) | ? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2 & cons(X0,X7,X9) = X1) | ? [X11 : list(X0)] : (X2 = X11 & nil(X0) = X1))) | ~ord(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13941])).
% 59.37/10.04  tff(f13941,plain,(
% 59.37/10.04    ! [X0 : $tType] : (ord(X0) => ! [X1 : list(X0),X2 : list(X0)] : (ord_lexordp_eq(X0,X1,X2) <=> (? [X3 : X0,X4 : X0,X5 : list(X0),X6 : list(X0)] : (ord_lexordp_eq(X0,X5,X6) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X3)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X4)) & cons(X0,X4,X6) = X2 & cons(X0,X3,X5) = X1) | ? [X7 : X0,X8 : X0,X9 : list(X0),X10 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X8)) & cons(X0,X8,X10) = X2 & cons(X0,X7,X9) = X1) | ? [X11 : list(X0)] : (X2 = X11 & nil(X0) = X1))))),
% 59.37/10.04    inference(rectify,[],[f7899])).
% 59.37/10.04  tff(f7899,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (ord(X0) => ! [X179 : list(X0),X180 : list(X0)] : (ord_lexordp_eq(X0,X179,X180) <=> (? [X115 : X0,X145 : X0,X168 : list(X0),X241 : list(X0)] : (ord_lexordp_eq(X0,X168,X241) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X145),X115)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X115),X145)) & cons(X0,X145,X241) = X180 & cons(X0,X115,X168) = X179) | ? [X115 : X0,X145 : X0,X168 : list(X0),X241 : list(X0)] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X115),X145)) & cons(X0,X145,X241) = X180 & cons(X0,X115,X168) = X179) | ? [X241 : list(X0)] : (X180 = X241 & nil(X0) = X179))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7898_lexordp__eq_Osimps)).
% 59.37/10.04  tff(f68899,plain,(
% 59.37/10.04    spl2737_960),
% 59.37/10.04    inference(avatar_split_clause,[],[f42284,f68897])).
% 59.37/10.04  tff(f42284,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP216(X0) | ~preorder(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27414])).
% 59.37/10.04  tff(f27414,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP216(X0) | ~preorder(X0))),
% 59.37/10.04    inference(definition_folding,[],[f22571,f27413,f27412])).
% 59.37/10.04  tff(f27413,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4))) <=> sP215(X0,X4,X3,X2,X1)) | ~sP216(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP216])])).
% 59.37/10.04  tff(f22571,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4))) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))))) | ~preorder(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13933])).
% 59.37/10.04  tff(f13933,plain,(
% 59.37/10.04    ! [X0 : $tType] : (preorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X1,X2)),set_or1337092689740270186AtMost(X0,X3,X4))) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X4)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1097])).
% 59.37/10.04  tff(f1097,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (preorder(X0) => ! [X7 : X0,X49 : X0,X50 : X0,X53 : X0] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X7,X49)),set_or1337092689740270186AtMost(X0,X50,X53))) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),X53)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X53)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),X7))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),X53)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),X7))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1096_atLeastatMost__psubset__iff)).
% 59.37/10.04  tff(f68895,plain,(
% 59.37/10.04    spl2737_959),
% 59.37/10.04    inference(avatar_split_clause,[],[f42098,f68893])).
% 59.37/10.04  tff(f42098,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP205(X0) | ~linorder(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27397])).
% 59.37/10.04  tff(f27397,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP205(X0) | ~linorder(X0))),
% 59.37/10.04    inference(definition_folding,[],[f22449,f27396,f27395])).
% 59.37/10.04  tff(f27395,plain,(
% 59.37/10.04    ! [X2 : list(X0),X0 : $tType,X1 : list(X0)] : (sP204(X0,X2,X1) <=> (? [X3 : list(X0),X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (append(X0,X3,cons(X0,X5,X7)) = X2 & append(X0,X3,cons(X0,X4,X6)) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5))) | ? [X8 : X0,X9 : list(X0)] : append(X0,X1,cons(X0,X8,X9)) = X2))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP204])])).
% 59.37/10.04  tff(f27396,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X1),X2)) <=> sP204(X0,X2,X1)) | ~sP205(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP205])])).
% 59.37/10.04  tff(f22449,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X1),X2)) <=> (? [X3 : list(X0),X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (append(X0,X3,cons(X0,X5,X7)) = X2 & append(X0,X3,cons(X0,X4,X6)) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5))) | ? [X8 : X0,X9 : list(X0)] : append(X0,X1,cons(X0,X8,X9)) = X2)) | ~linorder(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13845])).
% 59.37/10.04  tff(f13845,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X1),X2)) <=> (? [X3 : list(X0),X4 : X0,X5 : X0,X6 : list(X0),X7 : list(X0)] : (append(X0,X3,cons(X0,X5,X7)) = X2 & append(X0,X3,cons(X0,X4,X6)) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X4),X5))) | ? [X8 : X0,X9 : list(X0)] : append(X0,X1,cons(X0,X8,X9)) = X2)))),
% 59.37/10.04    inference(rectify,[],[f7081])).
% 59.37/10.04  tff(f7081,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linorder(X0) => ! [X123 : list(X0),X167 : list(X0)] : (pp(aa(list(X0),bool,aa(list(X0),fun(list(X0),bool),ord_lexordp(X0),X123),X167)) <=> (? [X259 : list(X0),X74 : X0,X75 : X0,X260 : list(X0),X322 : list(X0)] : (append(X0,X259,cons(X0,X75,X322)) = X167 & append(X0,X259,cons(X0,X74,X260)) = X123 & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X74),X75))) | ? [X115 : X0,X260 : list(X0)] : append(X0,X123,cons(X0,X115,X260)) = X167)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7080_lexordp__iff)).
% 59.37/10.04  tff(f68891,plain,(
% 59.37/10.04    spl2737_958),
% 59.37/10.04    inference(avatar_split_clause,[],[f42050,f68889])).
% 59.37/10.04  tff(f42050,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP203(X0) | ~linorder(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27394])).
% 59.37/10.04  tff(f27394,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP203(X0) | ~linorder(X0))),
% 59.37/10.04    inference(definition_folding,[],[f22432,f27393,f27392])).
% 59.37/10.04  tff(f22432,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> (! [X3 : X0] : (! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2)))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1)))) & sorted_wrt(X0,ord_less_eq(X0),X2) & sorted_wrt(X0,ord_less_eq(X0),X1))) | ~linorder(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13828])).
% 59.37/10.04  tff(f13828,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linorder(X0) => ! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> (! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),aa(list(X0),set(X0),set2(X0),X1))) => ! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),aa(list(X0),set(X0),set2(X0),X2))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X4)))) & sorted_wrt(X0,ord_less_eq(X0),X2) & sorted_wrt(X0,ord_less_eq(X0),X1))))),
% 59.37/10.04    inference(rectify,[],[f5455])).
% 59.37/10.04  tff(f5455,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linorder(X0) => ! [X123 : list(X0),X167 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X123,X167)) <=> (! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),aa(list(X0),set(X0),set2(X0),X123))) => ! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),aa(list(X0),set(X0),set2(X0),X167))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X115),X138)))) & sorted_wrt(X0,ord_less_eq(X0),X167) & sorted_wrt(X0,ord_less_eq(X0),X123))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5454_sorted__append)).
% 59.37/10.04  tff(f68887,plain,(
% 59.37/10.04    spl2737_957),
% 59.37/10.04    inference(avatar_split_clause,[],[f41355,f68885])).
% 59.37/10.04  tff(f41355,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP199(X0) | ~zero_neq_one(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27388])).
% 59.37/10.04  tff(f27388,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP199(X0) | ~zero_neq_one(X0))),
% 59.37/10.04    inference(definition_folding,[],[f21835,f27387,f27386])).
% 59.37/10.04  tff(f21835,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : bool] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) <=> ((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2)))) | ~zero_neq_one(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13318])).
% 59.37/10.04  tff(f13318,plain,(
% 59.37/10.04    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,bool),X2 : bool] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) <=> ~((~pp(aa(X0,bool,X1,zero_zero(X0))) & ~pp(X2)) | (~pp(aa(X0,bool,X1,one_one(X0))) & pp(X2)))))),
% 59.37/10.04    inference(rectify,[],[f3214])).
% 59.37/10.04  tff(f3214,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X17 : fun(X0,bool),X136 : bool] : (pp(aa(X0,bool,X17,aa(bool,X0,zero_neq_one_of_bool(X0),X136))) <=> ~((~pp(aa(X0,bool,X17,zero_zero(X0))) & ~pp(X136)) | (~pp(aa(X0,bool,X17,one_one(X0))) & pp(X136)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3213_split__of__bool__asm)).
% 59.37/10.04  tff(f68883,plain,(
% 59.37/10.04    spl2737_956),
% 59.37/10.04    inference(avatar_split_clause,[],[f41346,f68881])).
% 59.37/10.04  tff(f41346,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP197(X0) | ~zero_neq_one(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27385])).
% 59.37/10.04  tff(f27385,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP197(X0) | ~zero_neq_one(X0))),
% 59.37/10.04    inference(definition_folding,[],[f21834,f27384,f27383])).
% 59.37/10.04  tff(f21834,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(X0,bool),X2 : bool] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) <=> ((pp(aa(X0,bool,X1,zero_zero(X0))) | pp(X2)) & (pp(aa(X0,bool,X1,one_one(X0))) | ~pp(X2)))) | ~zero_neq_one(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f13317])).
% 59.37/10.04  tff(f13317,plain,(
% 59.37/10.04    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X1 : fun(X0,bool),X2 : bool] : (pp(aa(X0,bool,X1,aa(bool,X0,zero_neq_one_of_bool(X0),X2))) <=> ((~pp(X2) => pp(aa(X0,bool,X1,zero_zero(X0)))) & (pp(X2) => pp(aa(X0,bool,X1,one_one(X0)))))))),
% 59.37/10.04    inference(rectify,[],[f3215])).
% 59.37/10.04  tff(f3215,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (zero_neq_one(X0) => ! [X17 : fun(X0,bool),X136 : bool] : (pp(aa(X0,bool,X17,aa(bool,X0,zero_neq_one_of_bool(X0),X136))) <=> ((~pp(X136) => pp(aa(X0,bool,X17,zero_zero(X0)))) & (pp(X136) => pp(aa(X0,bool,X17,one_one(X0)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3214_split__of__bool)).
% 59.37/10.04  tff(f68879,plain,(
% 59.37/10.04    spl2737_955),
% 59.37/10.04    inference(avatar_split_clause,[],[f40689,f68877])).
% 59.37/10.04  tff(f40689,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP193(X0) | ~neg_numeral(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27378])).
% 59.37/10.04  tff(f27378,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP193(X0) | ~neg_numeral(X0))),
% 59.37/10.04    inference(definition_folding,[],[f21218,f27377,f27376,f27375])).
% 59.37/10.04  tff(f21218,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0] : (neg_numeral_is_num(X0,X1) <=> (? [X2 : X0,X3 : X0] : (neg_numeral_is_num(X0,X3) & neg_numeral_is_num(X0,X2) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) = X1) | ? [X4 : X0] : (neg_numeral_is_num(X0,X4) & aa(X0,X0,uminus_uminus(X0),X4) = X1) | one_one(X0) = X1)) | ~neg_numeral(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12859])).
% 59.37/10.04  tff(f12859,plain,(
% 59.37/10.04    ! [X0 : $tType] : (neg_numeral(X0) => ! [X1 : X0] : (neg_numeral_is_num(X0,X1) <=> (? [X2 : X0,X3 : X0] : (neg_numeral_is_num(X0,X3) & neg_numeral_is_num(X0,X2) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X3) = X1) | ? [X4 : X0] : (neg_numeral_is_num(X0,X4) & aa(X0,X0,uminus_uminus(X0),X4) = X1) | one_one(X0) = X1)))),
% 59.37/10.04    inference(rectify,[],[f7763])).
% 59.37/10.04  tff(f7763,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (neg_numeral(X0) => ! [X7 : X0] : (neg_numeral_is_num(X0,X7) <=> (? [X115 : X0,X145 : X0] : (neg_numeral_is_num(X0,X145) & neg_numeral_is_num(X0,X115) & aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X115),X145) = X7) | ? [X115 : X0] : (neg_numeral_is_num(X0,X115) & aa(X0,X0,uminus_uminus(X0),X115) = X7) | one_one(X0) = X7)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7762_is__num_Osimps)).
% 59.37/10.04  tff(f68875,plain,(
% 59.37/10.04    spl2737_954),
% 59.37/10.04    inference(avatar_split_clause,[],[f40247,f68873])).
% 59.37/10.04  tff(f40247,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP186(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27366])).
% 59.37/10.04  tff(f27366,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP186(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20911,f27365,f27364])).
% 59.37/10.04  tff(f27364,plain,(
% 59.37/10.04    ! [X1 : X0,X0 : $tType,X2 : num] : (sP185(X0,X1,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X2)))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X2)))) | zero_zero(nat) = aa(num,nat,numeral_numeral(nat),X2)))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP185])])).
% 59.37/10.04  tff(f27365,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2)))) <=> sP185(X0,X1,X2)) | ~sP186(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP186])])).
% 59.37/10.04  tff(f20911,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2)))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X2)))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X2)))) | zero_zero(nat) = aa(num,nat,numeral_numeral(nat),X2))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12600])).
% 59.37/10.04  tff(f12600,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),aa(num,nat,numeral_numeral(nat),X2)))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X2)))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X2)))) | zero_zero(nat) = aa(num,nat,numeral_numeral(nat),X2))))),
% 59.37/10.04    inference(rectify,[],[f2768])).
% 59.37/10.04  tff(f2768,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X7 : X0,X61 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X7),aa(num,nat,numeral_numeral(nat),X61)))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X61)))) | (zero_zero(X0) != X7 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),aa(num,nat,numeral_numeral(nat),X61)))) | zero_zero(nat) = aa(num,nat,numeral_numeral(nat),X61))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2767_zero__less__power__eq__numeral)).
% 59.37/10.04  tff(f68871,plain,(
% 59.37/10.04    spl2737_953),
% 59.37/10.04    inference(avatar_split_clause,[],[f40221,f68869])).
% 59.37/10.04  tff(f40221,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP183(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27361])).
% 59.37/10.04  tff(f27361,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP183(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20907,f27360,f27359])).
% 59.37/10.04  tff(f27360,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2))) <=> sP182(X0,X1,X2)) | ~sP183(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP183])])).
% 59.37/10.04  tff(f20907,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | zero_zero(nat) = X2)) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12596])).
% 59.37/10.04  tff(f12596,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | (zero_zero(X0) != X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X2))) | zero_zero(nat) = X2)))),
% 59.37/10.04    inference(rectify,[],[f3037])).
% 59.37/10.04  tff(f3037,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X7 : X0,X8 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),X7),X8))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7)) & ~pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X8))) | (zero_zero(X0) != X7 & pp(aa(nat,bool,aa(nat,fun(nat,bool),dvd_dvd(nat),aa(num,nat,numeral_numeral(nat),bit0(one2))),X8))) | zero_zero(nat) = X8)))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3036_zero__less__power__eq)).
% 59.37/10.04  tff(f68867,plain,(
% 59.37/10.04    spl2737_952),
% 59.37/10.04    inference(avatar_split_clause,[],[f40207,f68865])).
% 59.37/10.04  tff(f40207,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP181(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27358])).
% 59.37/10.04  tff(f27358,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP181(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20905,f27357,f27356])).
% 59.37/10.04  tff(f27356,plain,(
% 59.37/10.04    ! [X1 : X0,X0 : $tType,X2 : X0] : (sP180(X0,X1,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP180])])).
% 59.37/10.04  tff(f27357,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> sP180(X0,X1,X2)) | ~sP181(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP181])])).
% 59.37/10.04  tff(f20905,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12594])).
% 59.37/10.04  tff(f12594,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X1))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),one_one(X0)))))))),
% 59.37/10.04    inference(rectify,[],[f1265])).
% 59.37/10.04  tff(f1265,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X7 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),X50)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),one_one(X0)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1264_mult__less__cancel__right2)).
% 59.37/10.04  tff(f68863,plain,(
% 59.37/10.04    spl2737_951),
% 59.37/10.04    inference(avatar_split_clause,[],[f40198,f68861])).
% 59.37/10.04  tff(f40198,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP179(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27355])).
% 59.37/10.04  tff(f27355,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP179(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20904,f27354,f27353])).
% 59.37/10.04  tff(f27353,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP178(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP178])])).
% 59.37/10.04  tff(f27354,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> sP178(X0,X2,X1)) | ~sP179(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP179])])).
% 59.37/10.04  tff(f20904,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12593])).
% 59.37/10.04  tff(f12593,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0)))))))),
% 59.37/10.04    inference(rectify,[],[f1267])).
% 59.37/10.04  tff(f1267,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X50 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X7)),X50)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),one_one(X0)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1266_mult__less__cancel__left2)).
% 59.37/10.04  tff(f68859,plain,(
% 59.37/10.04    spl2737_950),
% 59.37/10.04    inference(avatar_split_clause,[],[f40189,f68857])).
% 59.37/10.04  tff(f40189,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP177(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27352])).
% 59.37/10.04  tff(f27352,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP177(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20903,f27351,f27350])).
% 59.37/10.04  tff(f27350,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP176(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP176])])).
% 59.37/10.04  tff(f27351,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> sP176(X0,X2,X1)) | ~sP177(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP177])])).
% 59.37/10.04  tff(f20903,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12592])).
% 59.37/10.04  tff(f12592,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X1)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0)))))))),
% 59.37/10.04    inference(rectify,[],[f1271])).
% 59.37/10.04  tff(f1271,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X50 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X7)),X50)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),one_one(X0)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1270_mult__le__cancel__left2)).
% 59.37/10.04  tff(f68855,plain,(
% 59.37/10.04    spl2737_949),
% 59.37/10.04    inference(avatar_split_clause,[],[f40180,f68853])).
% 59.37/10.04  tff(f40180,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP175(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27349])).
% 59.37/10.04  tff(f27349,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP175(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20902,f27348,f27347])).
% 59.37/10.04  tff(f27347,plain,(
% 59.37/10.04    ! [X1 : X0,X0 : $tType,X2 : X0] : (sP174(X0,X1,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP174])])).
% 59.37/10.04  tff(f27348,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> sP174(X0,X1,X2)) | ~sP175(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP175])])).
% 59.37/10.04  tff(f20902,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12591])).
% 59.37/10.04  tff(f12591,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),X2)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X1))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),one_one(X0)))))))),
% 59.37/10.04    inference(rectify,[],[f1269])).
% 59.37/10.04  tff(f1269,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X7 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),X50)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),one_one(X0)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1268_mult__le__cancel__right2)).
% 59.37/10.04  tff(f68851,plain,(
% 59.37/10.04    spl2737_948),
% 59.37/10.04    inference(avatar_split_clause,[],[f40171,f68849])).
% 59.37/10.04  tff(f40171,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP173(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27346])).
% 59.37/10.04  tff(f27346,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP173(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20901,f27345,f27344])).
% 59.37/10.04  tff(f27344,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP172(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP172])])).
% 59.37/10.04  tff(f27345,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP172(X0,X2,X1)) | ~sP173(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP173])])).
% 59.37/10.04  tff(f20901,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12590])).
% 59.37/10.04  tff(f12590,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1268])).
% 59.37/10.04  tff(f1268,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1267_mult__less__cancel__left1)).
% 59.37/10.04  tff(f68847,plain,(
% 59.37/10.04    spl2737_947),
% 59.37/10.04    inference(avatar_split_clause,[],[f40162,f68845])).
% 59.37/10.04  tff(f40162,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP171(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27343])).
% 59.37/10.04  tff(f27343,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP171(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20900,f27342,f27341])).
% 59.37/10.04  tff(f27341,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP170(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP170])])).
% 59.37/10.04  tff(f27342,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> sP170(X0,X2,X1)) | ~sP171(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP171])])).
% 59.37/10.04  tff(f20900,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12589])).
% 59.37/10.04  tff(f12589,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1266])).
% 59.37/10.04  tff(f1266,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X49),X50))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1265_mult__less__cancel__right1)).
% 59.37/10.04  tff(f68843,plain,(
% 59.37/10.04    spl2737_946),
% 59.37/10.04    inference(avatar_split_clause,[],[f40153,f68841])).
% 59.37/10.04  tff(f40153,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP169(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27340])).
% 59.37/10.04  tff(f27340,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP169(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20899,f27339,f27338])).
% 59.37/10.04  tff(f27338,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP168(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP168])])).
% 59.37/10.04  tff(f27339,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP168(X0,X2,X1)) | ~sP169(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP169])])).
% 59.37/10.04  tff(f20899,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12588])).
% 59.37/10.04  tff(f12588,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1272])).
% 59.37/10.04  tff(f1272,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1271_mult__le__cancel__left1)).
% 59.37/10.04  tff(f68839,plain,(
% 59.37/10.04    spl2737_945),
% 59.37/10.04    inference(avatar_split_clause,[],[f40144,f68837])).
% 59.37/10.04  tff(f40144,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP167(X0) | ~linordered_idom(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27337])).
% 59.37/10.04  tff(f27337,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP167(X0) | ~linordered_idom(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20898,f27336,f27335])).
% 59.37/10.04  tff(f27335,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP166(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP166])])).
% 59.37/10.04  tff(f27336,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> sP166(X0,X2,X1)) | ~sP167(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP167])])).
% 59.37/10.04  tff(f20898,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_idom(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12587])).
% 59.37/10.04  tff(f12587,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X2),X1))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1270])).
% 59.37/10.04  tff(f1270,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_idom(X0) => ! [X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X49),X50))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1269_mult__le__cancel__right1)).
% 59.37/10.04  tff(f68835,plain,(
% 59.37/10.04    spl2737_944),
% 59.37/10.04    inference(avatar_split_clause,[],[f39556,f68833])).
% 59.37/10.04  tff(f39556,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP156(X0) | ~bit_semiring_bits(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27319])).
% 59.37/10.04  tff(f27319,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP156(X0) | ~bit_semiring_bits(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20474,f27318,f27317])).
% 59.37/10.04  tff(f27318,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3)))) <=> sP155(X0,X2,X3,X1)) | ~sP156(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP156])])).
% 59.37/10.04  tff(f20474,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3)))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | zero_zero(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))) | ~bit_semiring_bits(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12229])).
% 59.37/10.04  tff(f12229,plain,(
% 59.37/10.04    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : nat,X3 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3)))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),X2))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | zero_zero(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))))),
% 59.37/10.04    inference(rectify,[],[f3063])).
% 59.37/10.04  tff(f3063,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0,X9 : nat,X8 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X9)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X8)))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),divide_divide(X0,X7,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),X9))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X9),X8))) | zero_zero(X0) = aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X8) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X8),X9)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3062_even__mult__exp__div__exp__iff)).
% 59.37/10.04  tff(f68831,plain,(
% 59.37/10.04    spl2737_943),
% 59.37/10.04    inference(avatar_split_clause,[],[f39519,f68829])).
% 59.37/10.04  tff(f39519,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP153(X0) | ~bit_semiring_bits(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27314])).
% 59.37/10.04  tff(f27314,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP153(X0) | ~bit_semiring_bits(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20462,f27313,f27312])).
% 59.37/10.04  tff(f27312,plain,(
% 59.37/10.04    ! [X2 : nat,X0 : $tType,X1 : X0] : (sP152(X0,X2,X1) <=> ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),bit0(one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)))) | zero_zero(nat) = X2) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X1)) | zero_zero(nat) != X2)))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP152])])).
% 59.37/10.04  tff(f20462,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) <=> ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),bit0(one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)))) | zero_zero(nat) = X2) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X1)) | zero_zero(nat) != X2))) | ~bit_semiring_bits(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12217])).
% 59.37/10.04  tff(f12217,plain,(
% 59.37/10.04    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) <=> ((zero_zero(nat) != X2 => pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),bit0(one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat))))) & (zero_zero(nat) = X2 => ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X1))))))),
% 59.37/10.04    inference(rectify,[],[f3435])).
% 59.37/10.04  tff(f3435,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X7 : X0,X8 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X7),X8)) <=> ((zero_zero(nat) != X8 => pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X7,aa(num,X0,numeral_numeral(X0),bit0(one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X8),one_one(nat))))) & (zero_zero(nat) = X8 => ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),aa(num,X0,numeral_numeral(X0),bit0(one2))),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3434_bit__rec)).
% 59.37/10.04  tff(f68827,plain,(
% 59.37/10.04    spl2737_942),
% 59.37/10.04    inference(avatar_split_clause,[],[f39325,f68825])).
% 59.37/10.04  tff(f39325,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP150(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27309])).
% 59.37/10.04  tff(f27309,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP150(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20303,f27308,f27307])).
% 59.37/10.04  tff(f27307,plain,(
% 59.37/10.04    ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP149(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP149])])).
% 59.37/10.04  tff(f27308,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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),X3),X2))) <=> sP149(X0,X1,X3,X2)) | ~sP150(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP150])])).
% 59.37/10.04  tff(f20303,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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),X3),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12078])).
% 59.37/10.04  tff(f12078,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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),X3),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1148])).
% 59.37/10.04  tff(f1148,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X7 : X0,X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X49),X50))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1147_mult__less__cancel__right__disj)).
% 59.37/10.04  tff(f68823,plain,(
% 59.37/10.04    spl2737_941),
% 59.37/10.04    inference(avatar_split_clause,[],[f39316,f68821])).
% 59.37/10.04  tff(f39316,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP148(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27306])).
% 59.37/10.04  tff(f27306,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP148(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20302,f27305,f27304])).
% 59.37/10.04  tff(f27304,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP147(X0,X2,X3,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP147])])).
% 59.37/10.04  tff(f27305,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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))) <=> sP147(X0,X2,X3,X1)) | ~sP148(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP148])])).
% 59.37/10.04  tff(f20302,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12077])).
% 59.37/10.04  tff(f12077,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1151])).
% 59.37/10.04  tff(f1151,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X50 : X0,X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X7)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1150_mult__less__cancel__left__disj)).
% 59.37/10.04  tff(f68819,plain,(
% 59.37/10.04    spl2737_940),
% 59.37/10.04    inference(avatar_split_clause,[],[f39307,f68817])).
% 59.37/10.04  tff(f39307,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP146(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27303])).
% 59.37/10.04  tff(f27303,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP146(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20301,f27302,f27301])).
% 59.37/10.04  tff(f27301,plain,(
% 59.37/10.04    ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP145(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP145])])).
% 59.37/10.04  tff(f27302,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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),X3),X2))) <=> sP145(X0,X1,X3,X2)) | ~sP146(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP146])])).
% 59.37/10.04  tff(f20301,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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),X3),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12076])).
% 59.37/10.04  tff(f12076,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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),X3),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3))))))),
% 59.37/10.04    inference(rectify,[],[f1214])).
% 59.37/10.04  tff(f1214,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X7 : X0,X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X49),X50))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1213_mult__less__cancel__right)).
% 59.37/10.04  tff(f68815,plain,(
% 59.37/10.04    spl2737_939),
% 59.37/10.04    inference(avatar_split_clause,[],[f39298,f68813])).
% 59.37/10.04  tff(f39298,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP144(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27300])).
% 59.37/10.04  tff(f27300,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP144(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20300,f27299,f27298])).
% 59.37/10.04  tff(f27298,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP143(X0,X2,X3,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])])).
% 59.37/10.04  tff(f27299,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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))) <=> sP143(X0,X2,X3,X1)) | ~sP144(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP144])])).
% 59.37/10.04  tff(f20300,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12075])).
% 59.37/10.04  tff(f12075,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(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))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X3))))))),
% 59.37/10.04    inference(rectify,[],[f1217])).
% 59.37/10.04  tff(f1217,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X50 : X0,X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X7)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1216_mult__less__cancel__left)).
% 59.37/10.04  tff(f68811,plain,(
% 59.37/10.04    spl2737_938),
% 59.37/10.04    inference(avatar_split_clause,[],[f39289,f68809])).
% 59.37/10.04  tff(f39289,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP142(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27297])).
% 59.37/10.04  tff(f27297,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP142(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20299,f27296,f27295])).
% 59.37/10.04  tff(f27295,plain,(
% 59.37/10.04    ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP141(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])])).
% 59.37/10.04  tff(f27296,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(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),X3),X2))) <=> sP141(X0,X1,X3,X2)) | ~sP142(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])])).
% 59.37/10.04  tff(f20299,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(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),X3),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12074])).
% 59.37/10.04  tff(f12074,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(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),X3),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))))))),
% 59.37/10.04    inference(rectify,[],[f1220])).
% 59.37/10.04  tff(f1220,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X7 : X0,X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X49),X50))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1219_mult__le__cancel__right)).
% 59.37/10.04  tff(f68807,plain,(
% 59.37/10.04    spl2737_937),
% 59.37/10.04    inference(avatar_split_clause,[],[f39280,f68805])).
% 59.37/10.04  tff(f39280,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP140(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27294])).
% 59.37/10.04  tff(f27294,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP140(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20298,f27293,f27292])).
% 59.37/10.04  tff(f27292,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP139(X0,X2,X3,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])])).
% 59.37/10.04  tff(f27293,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(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))) <=> sP139(X0,X2,X3,X1)) | ~sP140(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])])).
% 59.37/10.04  tff(f20298,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(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))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12073])).
% 59.37/10.04  tff(f12073,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(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))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))))))),
% 59.37/10.04    inference(rectify,[],[f1221])).
% 59.37/10.04  tff(f1221,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X50 : X0,X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X7)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X50),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1220_mult__le__cancel__left)).
% 59.37/10.04  tff(f68803,plain,(
% 59.37/10.04    spl2737_936),
% 59.37/10.04    inference(avatar_split_clause,[],[f39252,f68801])).
% 59.37/10.04  tff(f39252,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP138(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27291])).
% 59.37/10.04  tff(f27291,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP138(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20286,f27290,f27289])).
% 59.37/10.04  tff(f27289,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP137(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])])).
% 59.37/10.04  tff(f27290,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> sP137(X0,X2,X1)) | ~sP138(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])])).
% 59.37/10.04  tff(f20286,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12063])).
% 59.37/10.04  tff(f12063,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1163])).
% 59.37/10.04  tff(f1163,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1162_mult__less__0__iff)).
% 59.37/10.04  tff(f68799,plain,(
% 59.37/10.04    spl2737_935),
% 59.37/10.04    inference(avatar_split_clause,[],[f39243,f68797])).
% 59.37/10.04  tff(f39243,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP136(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27288])).
% 59.37/10.04  tff(f27288,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP136(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20285,f27287,f27286])).
% 59.37/10.04  tff(f27286,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP135(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])])).
% 59.37/10.04  tff(f27287,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> sP135(X0,X2,X1)) | ~sP136(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])])).
% 59.37/10.04  tff(f20285,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12062])).
% 59.37/10.04  tff(f12062,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1137])).
% 59.37/10.04  tff(f1137,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1136_mult__le__0__iff)).
% 59.37/10.04  tff(f68795,plain,(
% 59.37/10.04    spl2737_934),
% 59.37/10.04    inference(avatar_split_clause,[],[f39234,f68793])).
% 59.37/10.04  tff(f39234,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP134(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27285])).
% 59.37/10.04  tff(f27285,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP134(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20284,f27284,f27283])).
% 59.37/10.04  tff(f27283,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP133(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])])).
% 59.37/10.04  tff(f27284,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP133(X0,X2,X1)) | ~sP134(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])])).
% 59.37/10.04  tff(f20284,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12061])).
% 59.37/10.04  tff(f12061,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1158])).
% 59.37/10.04  tff(f1158,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1157_zero__less__mult__iff)).
% 59.37/10.04  tff(f68791,plain,(
% 59.37/10.04    spl2737_933),
% 59.37/10.04    inference(avatar_split_clause,[],[f39225,f68789])).
% 59.37/10.04  tff(f39225,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP132(X0) | ~linord4710134922213307826strict(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27282])).
% 59.37/10.04  tff(f27282,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP132(X0) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20283,f27281,f27280])).
% 59.37/10.04  tff(f27280,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP131(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])])).
% 59.37/10.04  tff(f27281,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> sP131(X0,X2,X1)) | ~sP132(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])])).
% 59.37/10.04  tff(f20283,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linord4710134922213307826strict(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f12060])).
% 59.37/10.04  tff(f12060,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1131])).
% 59.37/10.04  tff(f1131,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1130_zero__le__mult__iff)).
% 59.37/10.04  tff(f68787,plain,(
% 59.37/10.04    spl2737_932),
% 59.37/10.04    inference(avatar_split_clause,[],[f39033,f68785])).
% 59.37/10.04  tff(f39033,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP128(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27276])).
% 59.37/10.04  tff(f27276,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP128(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20148,f27275,f27274])).
% 59.37/10.04  tff(f27274,plain,(
% 59.37/10.04    ! [X3 : X0,X0 : $tType,X2 : num,X1 : X0] : (sP127(X0,X3,X2,X1) <=> ((zero_zero(X0) = X3 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) & (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 | zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])])).
% 59.37/10.04  tff(f27275,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = X3 <=> sP127(X0,X3,X2,X1)) | ~sP128(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])])).
% 59.37/10.04  tff(f20148,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = X3 <=> ((zero_zero(X0) = X3 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) & (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 | zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11950])).
% 59.37/10.04  tff(f11950,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2))) = X3 <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) => zero_zero(X0) = X3) & (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X2)) => 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))))),
% 59.37/10.04    inference(rectify,[],[f2122])).
% 59.37/10.04  tff(f2122,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X49 : X0,X61 : num,X7 : X0] : (divide_divide(X0,X49,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))) = X7 <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)) => zero_zero(X0) = X7) & (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2121_divide__eq__eq__numeral1_I2_J)).
% 59.37/10.04  tff(f68783,plain,(
% 59.37/10.04    spl2737_931),
% 59.37/10.04    inference(avatar_split_clause,[],[f39024,f68781])).
% 59.37/10.04  tff(f39024,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP126(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27273])).
% 59.37/10.04  tff(f27273,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP126(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20147,f27272,f27271])).
% 59.37/10.04  tff(f27271,plain,(
% 59.37/10.04    ! [X1 : X0,X0 : $tType,X3 : num,X2 : X0] : (sP125(X0,X1,X3,X2) <=> ((zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) & (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 | zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])])).
% 59.37/10.04  tff(f27272,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) = X1 <=> sP125(X0,X1,X3,X2)) | ~sP126(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])])).
% 59.37/10.04  tff(f20147,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) = X1 <=> ((zero_zero(X0) = X1 | zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) & (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 | zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11949])).
% 59.37/10.04  tff(f11949,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) = X1 <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) => zero_zero(X0) = X1) & (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) => 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))))),
% 59.37/10.04    inference(rectify,[],[f2123])).
% 59.37/10.04  tff(f2123,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0,X49 : X0,X61 : num] : (divide_divide(X0,X49,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))) = X7 <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)) => zero_zero(X0) = X7) & (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2122_eq__divide__eq__numeral1_I2_J)).
% 59.37/10.04  tff(f68779,plain,(
% 59.37/10.04    spl2737_930),
% 59.37/10.04    inference(avatar_split_clause,[],[f39015,f68777])).
% 59.37/10.04  tff(f39015,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP124(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27270])).
% 59.37/10.04  tff(f27270,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP124(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20146,f27269,f27268])).
% 59.37/10.04  tff(f27268,plain,(
% 59.37/10.04    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP123(X0,X3,X2,X1) <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) | zero_zero(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),X3))),X2) = X1 | zero_zero(X0) = X2)))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])])).
% 59.37/10.04  tff(f27269,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) <=> sP123(X0,X3,X2,X1)) | ~sP124(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])])).
% 59.37/10.04  tff(f20146,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) | zero_zero(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),X3))),X2) = X1 | zero_zero(X0) = X2))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11948])).
% 59.37/10.04  tff(f11948,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)) <=> ((zero_zero(X0) = X2 => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))) & (zero_zero(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),X3))),X2) = X1))))),
% 59.37/10.04    inference(rectify,[],[f2257])).
% 59.37/10.04  tff(f2257,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X49 : X0,X50 : X0,X61 : num] : (divide_divide(X0,X49,X50) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)) <=> ((zero_zero(X0) = X50 => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))) & (zero_zero(X0) != X50 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),X50) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2256_divide__eq__eq__numeral_I2_J)).
% 59.37/10.04  tff(f68775,plain,(
% 59.37/10.04    spl2737_929),
% 59.37/10.04    inference(avatar_split_clause,[],[f39006,f68773])).
% 59.37/10.04  tff(f39006,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP122(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27267])).
% 59.37/10.04  tff(f27267,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP122(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20145,f27266,f27265])).
% 59.37/10.04  tff(f27265,plain,(
% 59.37/10.04    ! [X1 : num,X0 : $tType,X3 : X0,X2 : X0] : (sP121(X0,X1,X3,X2) <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | zero_zero(X0) != X3) & (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 | zero_zero(X0) = X3)))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])])).
% 59.37/10.04  tff(f27266,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) = divide_divide(X0,X2,X3) <=> sP121(X0,X1,X3,X2)) | ~sP122(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])])).
% 59.37/10.04  tff(f20145,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) = divide_divide(X0,X2,X3) <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) | zero_zero(X0) != X3) & (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 | zero_zero(X0) = X3))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11947])).
% 59.37/10.04  tff(f11947,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1)) = divide_divide(X0,X2,X3) <=> ((zero_zero(X0) = X3 => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))) & (zero_zero(X0) != X3 => 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))))),
% 59.37/10.04    inference(rectify,[],[f2258])).
% 59.37/10.04  tff(f2258,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X61 : num,X49 : X0,X50 : X0] : (divide_divide(X0,X49,X50) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)) <=> ((zero_zero(X0) = X50 => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))) & (zero_zero(X0) != X50 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),X50) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2257_eq__divide__eq__numeral_I2_J)).
% 59.37/10.04  tff(f68771,plain,(
% 59.37/10.04    spl2737_928),
% 59.37/10.04    inference(avatar_split_clause,[],[f38997,f68769])).
% 59.37/10.04  tff(f38997,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP120(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27264])).
% 59.37/10.04  tff(f27264,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP120(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20144,f27263,f27262])).
% 59.37/10.04  tff(f20144,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 <=> ((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) | zero_zero(X0) = X3))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11946])).
% 59.37/10.04  tff(f11946,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)) = X1 <=> ((zero_zero(X0) = X3 => zero_zero(X0) = X1) & (zero_zero(X0) != X3 => aa(X0,X0,uminus_uminus(X0),X2) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)))))),
% 59.37/10.04    inference(rectify,[],[f1031])).
% 59.37/10.04  tff(f1031,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0,X49 : X0,X50 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X49,X50)) = X7 <=> ((zero_zero(X0) = X50 => zero_zero(X0) = X7) & (zero_zero(X0) != X50 => aa(X0,X0,uminus_uminus(X0),X49) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1030_eq__minus__divide__eq)).
% 59.37/10.04  tff(f68767,plain,(
% 59.37/10.04    spl2737_927),
% 59.37/10.04    inference(avatar_split_clause,[],[f38988,f68765])).
% 59.37/10.04  tff(f38988,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP118(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27261])).
% 59.37/10.04  tff(f27261,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP118(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20143,f27260,f27259])).
% 59.37/10.04  tff(f20143,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 <=> ((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) | zero_zero(X0) = X2))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11945])).
% 59.37/10.04  tff(f11945,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2)) = X3 <=> ((zero_zero(X0) = X2 => zero_zero(X0) = X3) & (zero_zero(X0) != X2 => aa(X0,X0,uminus_uminus(X0),X1) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)))))),
% 59.37/10.04    inference(rectify,[],[f1032])).
% 59.37/10.04  tff(f1032,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X49 : X0,X50 : X0,X7 : X0] : (aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X49,X50)) = X7 <=> ((zero_zero(X0) = X50 => zero_zero(X0) = X7) & (zero_zero(X0) != X50 => aa(X0,X0,uminus_uminus(X0),X49) = aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1031_minus__divide__eq__eq)).
% 59.37/10.04  tff(f68763,plain,(
% 59.37/10.04    spl2737_926),
% 59.37/10.04    inference(avatar_split_clause,[],[f38979,f68761])).
% 59.37/10.04  tff(f38979,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP116(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27258])).
% 59.37/10.04  tff(f27258,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP116(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20142,f27257,f27256])).
% 59.37/10.04  tff(f20142,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 <=> ((zero_zero(X0) = X3 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) = X1 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X2)))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11944])).
% 59.37/10.04  tff(f11944,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X2) => zero_zero(X0) = X3) & (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X2) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),aa(num,X0,numeral_numeral(X0),X2)) = X1))))),
% 59.37/10.04    inference(rectify,[],[f2088])).
% 59.37/10.04  tff(f2088,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X49 : X0,X61 : num,X7 : X0] : (divide_divide(X0,X49,aa(num,X0,numeral_numeral(X0),X61)) = X7 <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X61) => zero_zero(X0) = X7) & (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X61) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),aa(num,X0,numeral_numeral(X0),X61)) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2087_divide__eq__eq__numeral1_I1_J)).
% 59.37/10.04  tff(f68759,plain,(
% 59.37/10.04    spl2737_925),
% 59.37/10.04    inference(avatar_split_clause,[],[f38970,f68757])).
% 59.37/10.04  tff(f38970,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP114(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27255])).
% 59.37/10.04  tff(f27255,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP114(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20141,f27254,f27253])).
% 59.37/10.04  tff(f20141,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 <=> ((zero_zero(X0) = X1 | zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3)) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) = X2 | zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3)))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11943])).
% 59.37/10.04  tff(f11943,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3) => zero_zero(X0) = X1) & (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X3) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),aa(num,X0,numeral_numeral(X0),X3)) = X2))))),
% 59.37/10.04    inference(rectify,[],[f2087])).
% 59.37/10.04  tff(f2087,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0,X49 : X0,X61 : num] : (divide_divide(X0,X49,aa(num,X0,numeral_numeral(X0),X61)) = X7 <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X61) => zero_zero(X0) = X7) & (zero_zero(X0) != aa(num,X0,numeral_numeral(X0),X61) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),aa(num,X0,numeral_numeral(X0),X61)) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2086_eq__divide__eq__numeral1_I1_J)).
% 59.37/10.04  tff(f68755,plain,(
% 59.37/10.04    spl2737_924),
% 59.37/10.04    inference(avatar_split_clause,[],[f38961,f68753])).
% 59.37/10.04  tff(f38961,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP112(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27252])).
% 59.37/10.04  tff(f27252,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP112(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20140,f27251,f27250])).
% 59.37/10.04  tff(f20140,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3) | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) = X1 | zero_zero(X0) = X2))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11942])).
% 59.37/10.04  tff(f11942,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X1,X2) = aa(num,X0,numeral_numeral(X0),X3) <=> ((zero_zero(X0) = X2 => zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X3)) & (zero_zero(X0) != X2 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2) = X1))))),
% 59.37/10.04    inference(rectify,[],[f2229])).
% 59.37/10.04  tff(f2229,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X49 : X0,X50 : X0,X61 : num] : (divide_divide(X0,X49,X50) = aa(num,X0,numeral_numeral(X0),X61) <=> ((zero_zero(X0) = X50 => zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X61)) & (zero_zero(X0) != X50 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2228_divide__eq__eq__numeral_I1_J)).
% 59.37/10.04  tff(f68751,plain,(
% 59.37/10.04    spl2737_923),
% 59.37/10.04    inference(avatar_split_clause,[],[f38952,f68749])).
% 59.37/10.04  tff(f38952,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP110(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27249])).
% 59.37/10.04  tff(f27249,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP110(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20139,f27248,f27247])).
% 59.37/10.04  tff(f20139,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) <=> ((zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X1) | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) = X2 | zero_zero(X0) = X3))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11941])).
% 59.37/10.04  tff(f11941,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) <=> ((zero_zero(X0) = X3 => zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X1)) & (zero_zero(X0) != X3 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3) = X2))))),
% 59.37/10.04    inference(rectify,[],[f2228])).
% 59.37/10.04  tff(f2228,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X61 : num,X49 : X0,X50 : X0] : (divide_divide(X0,X49,X50) = aa(num,X0,numeral_numeral(X0),X61) <=> ((zero_zero(X0) = X50 => zero_zero(X0) = aa(num,X0,numeral_numeral(X0),X61)) & (zero_zero(X0) != X50 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2227_eq__divide__eq__numeral_I1_J)).
% 59.37/10.04  tff(f68747,plain,(
% 59.37/10.04    spl2737_922),
% 59.37/10.04    inference(avatar_split_clause,[],[f38943,f68745])).
% 59.37/10.04  tff(f38943,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP108(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27246])).
% 59.37/10.04  tff(f27246,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP108(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20138,f27245,f27244])).
% 59.37/10.04  tff(f20138,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X2,X3) = X1 <=> ((zero_zero(X0) = X1 | zero_zero(X0) != X3) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2 | zero_zero(X0) = X3))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11940])).
% 59.37/10.04  tff(f11940,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X2,X3) = X1 <=> ((zero_zero(X0) = X3 => zero_zero(X0) = X1) & (zero_zero(X0) != X3 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3) = X2))))),
% 59.37/10.04    inference(rectify,[],[f1006])).
% 59.37/10.04  tff(f1006,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X7 : X0,X49 : X0,X50 : X0] : (divide_divide(X0,X49,X50) = X7 <=> ((zero_zero(X0) = X50 => zero_zero(X0) = X7) & (zero_zero(X0) != X50 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1005_eq__divide__eq)).
% 59.37/10.04  tff(f68743,plain,(
% 59.37/10.04    spl2737_921),
% 59.37/10.04    inference(avatar_split_clause,[],[f38934,f68741])).
% 59.37/10.04  tff(f38934,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP106(X0) | ~division_ring(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27243])).
% 59.37/10.04  tff(f27243,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP106(X0) | ~division_ring(X0))),
% 59.37/10.04    inference(definition_folding,[],[f20137,f27242,f27241])).
% 59.37/10.04  tff(f20137,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = X3 <=> ((zero_zero(X0) = X3 | zero_zero(X0) != X2) & (aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1 | zero_zero(X0) = X2))) | ~division_ring(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11939])).
% 59.37/10.04  tff(f11939,plain,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (divide_divide(X0,X1,X2) = X3 <=> ((zero_zero(X0) = X2 => zero_zero(X0) = X3) & (zero_zero(X0) != X2 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2) = X1))))),
% 59.37/10.04    inference(rectify,[],[f1007])).
% 59.37/10.04  tff(f1007,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (division_ring(X0) => ! [X49 : X0,X50 : X0,X7 : X0] : (divide_divide(X0,X49,X50) = X7 <=> ((zero_zero(X0) = X50 => zero_zero(X0) = X7) & (zero_zero(X0) != X50 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50) = X49))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1006_divide__eq__eq)).
% 59.37/10.04  tff(f68739,plain,(
% 59.37/10.04    spl2737_920),
% 59.37/10.04    inference(avatar_split_clause,[],[f38431,f68737])).
% 59.37/10.04  tff(f38431,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP104(X0) | ~real_V822414075346904944vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27240])).
% 59.37/10.04  tff(f27240,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP104(X0) | ~real_V822414075346904944vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19696,f27239,f27238])).
% 59.37/10.04  tff(f19696,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)))) | ~real_V822414075346904944vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11566])).
% 59.37/10.04  tff(f11566,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)) => ? [X3 : nat] : ! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4)) => ! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X5)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f2279])).
% 59.37/10.04  tff(f2279,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X148 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X148) <=> ! [X156 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X156)) => ? [X149 : nat] : ! [X36 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X149),X36)) => ! [X62 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X149),X62)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V7770717601297561774m_norm(X0,aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,X148,X36)),aa(nat,X0,X148,X62)))),X156)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2278_Cauchy__iff)).
% 59.37/10.04  tff(f68735,plain,(
% 59.37/10.04    spl2737_919),
% 59.37/10.04    inference(avatar_split_clause,[],[f38285,f68733])).
% 59.37/10.04  tff(f38285,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP102(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27237])).
% 59.37/10.04  tff(f27237,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP102(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19566,f27236,f27235,f27234])).
% 59.37/10.04  tff(f27234,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP100(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])])).
% 59.37/10.04  tff(f27235,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP101(X0,X2,X3,X1) <=> ((sP100(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])])).
% 59.37/10.04  tff(f27236,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),divide_divide(X0,X2,X3))) <=> sP101(X0,X2,X3,X1)) | ~sP102(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])])).
% 59.37/10.04  tff(f19566,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),divide_divide(X0,X2,X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11465])).
% 59.37/10.04  tff(f11465,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),divide_divide(X0,X2,X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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))))))),
% 59.37/10.04    inference(rectify,[],[f2277])).
% 59.37/10.04  tff(f2277,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X61 : num,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),divide_divide(X0,X49,X50))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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),X61))),X50)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2276_less__divide__eq__numeral_I2_J)).
% 59.37/10.04  tff(f68731,plain,(
% 59.37/10.04    spl2737_918),
% 59.37/10.04    inference(avatar_split_clause,[],[f38270,f68729])).
% 59.37/10.04  tff(f38270,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP99(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27233])).
% 59.37/10.04  tff(f27233,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP99(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19565,f27232,f27231,f27230])).
% 59.37/10.04  tff(f27230,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP97(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])])).
% 59.37/10.04  tff(f27231,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP98(X0,X2,X3,X1) <=> ((sP97(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])])).
% 59.37/10.04  tff(f27232,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),divide_divide(X0,X2,X3))) <=> sP98(X0,X2,X3,X1)) | ~sP99(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])])).
% 59.37/10.04  tff(f19565,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),divide_divide(X0,X2,X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11464])).
% 59.37/10.04  tff(f11464,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),divide_divide(X0,X2,X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X1))),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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))))))),
% 59.37/10.04    inference(rectify,[],[f2006])).
% 59.37/10.04  tff(f2006,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X61 : num,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),divide_divide(X0,X49,X50))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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),X61))),X50)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2005_le__divide__eq__numeral_I2_J)).
% 59.37/10.04  tff(f68727,plain,(
% 59.37/10.04    spl2737_917),
% 59.37/10.04    inference(avatar_split_clause,[],[f38255,f68725])).
% 59.37/10.04  tff(f38255,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP96(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27229])).
% 59.37/10.04  tff(f27229,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP96(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19564,f27228,f27227,f27226])).
% 59.37/10.04  tff(f27226,plain,(
% 59.37/10.04    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP94(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])])).
% 59.37/10.04  tff(f27227,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP95(X0,X1,X2,X3) <=> ((sP94(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])])).
% 59.37/10.04  tff(f27228,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) <=> sP95(X0,X1,X2,X3)) | ~sP96(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])])).
% 59.37/10.04  tff(f19564,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11463])).
% 59.37/10.04  tff(f11463,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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)))))))),
% 59.37/10.04    inference(rectify,[],[f2276])).
% 59.37/10.04  tff(f2276,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X61 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X49,X50)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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),X61))),X50)),X49))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2275_divide__less__eq__numeral_I2_J)).
% 59.37/10.04  tff(f68723,plain,(
% 59.37/10.04    spl2737_916),
% 59.37/10.04    inference(avatar_split_clause,[],[f38240,f68721])).
% 59.37/10.04  tff(f38240,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP93(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27225])).
% 59.37/10.04  tff(f27225,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP93(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19563,f27224,f27223,f27222])).
% 59.37/10.04  tff(f27222,plain,(
% 59.37/10.04    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP91(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])])).
% 59.37/10.04  tff(f27223,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP92(X0,X1,X2,X3) <=> ((sP91(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])])).
% 59.37/10.04  tff(f27224,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) <=> sP92(X0,X1,X2,X3)) | ~sP93(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])])).
% 59.37/10.04  tff(f19563,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),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))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11462])).
% 59.37/10.04  tff(f11462,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X3))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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)))))))),
% 59.37/10.04    inference(rectify,[],[f2007])).
% 59.37/10.04  tff(f2007,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X61 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X49,X50)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),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),X61))),X50)),X49))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X61))),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2006_divide__le__eq__numeral_I2_J)).
% 59.37/10.04  tff(f68719,plain,(
% 59.37/10.04    spl2737_915),
% 59.37/10.04    inference(avatar_split_clause,[],[f38221,f68717])).
% 59.37/10.04  tff(f38221,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP90(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27221])).
% 59.37/10.04  tff(f27221,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP90(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19560,f27220,f27219,f27218])).
% 59.37/10.04  tff(f27218,plain,(
% 59.37/10.04    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP88(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])])).
% 59.37/10.04  tff(f27219,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : X0,X0 : $tType] : (sP89(X0,X1,X2,X3) <=> ((sP88(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])])).
% 59.37/10.04  tff(f27220,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2))),X3)) <=> sP89(X0,X1,X2,X3)) | ~sP90(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])])).
% 59.37/10.04  tff(f19560,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2))),X3)) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11459])).
% 59.37/10.04  tff(f11459,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2))),X3)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f1089])).
% 59.37/10.04  tff(f1089,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X49,X50))),X7)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),aa(X0,X0,uminus_uminus(X0),X49)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X49)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1088_minus__divide__less__eq)).
% 59.37/10.04  tff(f68715,plain,(
% 59.37/10.04    spl2737_914),
% 59.37/10.04    inference(avatar_split_clause,[],[f38206,f68713])).
% 59.37/10.04  tff(f38206,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP87(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27217])).
% 59.37/10.04  tff(f27217,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP87(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19559,f27216,f27215,f27214])).
% 59.37/10.04  tff(f27214,plain,(
% 59.37/10.04    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP85(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])])).
% 59.37/10.04  tff(f27215,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : X0,X0 : $tType] : (sP86(X0,X1,X2,X3) <=> ((sP85(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])])).
% 59.37/10.04  tff(f27216,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2))),X3)) <=> sP86(X0,X1,X2,X3)) | ~sP87(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])])).
% 59.37/10.04  tff(f19559,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2))),X3)) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11458])).
% 59.37/10.04  tff(f11458,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X1,X2))),X3)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),aa(X0,X0,uminus_uminus(X0),X1)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X1)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f1099])).
% 59.37/10.04  tff(f1099,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X49,X50))),X7)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),aa(X0,X0,uminus_uminus(X0),X49)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X49)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1098_minus__divide__le__eq)).
% 59.37/10.04  tff(f68711,plain,(
% 59.37/10.04    spl2737_913),
% 59.37/10.04    inference(avatar_split_clause,[],[f38191,f68709])).
% 59.37/10.04  tff(f38191,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP84(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27213])).
% 59.37/10.04  tff(f27213,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP84(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19558,f27212,f27211,f27210])).
% 59.37/10.04  tff(f27210,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (sP82(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])])).
% 59.37/10.04  tff(f27211,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : X0,X0 : $tType] : (sP83(X0,X2,X3,X1) <=> ((sP82(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])])).
% 59.37/10.04  tff(f27212,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)))) <=> sP83(X0,X2,X3,X1)) | ~sP84(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])])).
% 59.37/10.04  tff(f19558,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11457])).
% 59.37/10.04  tff(f11457,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f1090])).
% 59.37/10.04  tff(f1090,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X49,X50)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,uminus_uminus(X0),X49)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),aa(X0,X0,uminus_uminus(X0),X49)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1089_less__minus__divide__eq)).
% 59.37/10.04  tff(f68707,plain,(
% 59.37/10.04    spl2737_912),
% 59.37/10.04    inference(avatar_split_clause,[],[f38176,f68705])).
% 59.37/10.04  tff(f38176,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP81(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27209])).
% 59.37/10.04  tff(f27209,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP81(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19557,f27208,f27207,f27206])).
% 59.37/10.04  tff(f27206,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (sP79(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])])).
% 59.37/10.04  tff(f27207,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : X0,X0 : $tType] : (sP80(X0,X2,X3,X1) <=> ((sP79(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])])).
% 59.37/10.04  tff(f27208,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)))) <=> sP80(X0,X2,X3,X1)) | ~sP81(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])])).
% 59.37/10.04  tff(f19557,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11456])).
% 59.37/10.04  tff(f11456,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X2,X3)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X2)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),aa(X0,X0,uminus_uminus(X0),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f1098])).
% 59.37/10.04  tff(f1098,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X49,X50)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X49)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),aa(X0,X0,uminus_uminus(X0),X49)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1097_le__minus__divide__eq)).
% 59.37/10.04  tff(f68703,plain,(
% 59.37/10.04    spl2737_911),
% 59.37/10.04    inference(avatar_split_clause,[],[f38157,f68701])).
% 59.37/10.04  tff(f38157,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP78(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27205])).
% 59.37/10.04  tff(f27205,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP78(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19554,f27204,f27203,f27202])).
% 59.37/10.04  tff(f27202,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP76(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])])).
% 59.37/10.04  tff(f27203,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP77(X0,X2,X3,X1) <=> ((sP76(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])])).
% 59.37/10.04  tff(f27204,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X1)),divide_divide(X0,X2,X3))) <=> sP77(X0,X2,X3,X1)) | ~sP78(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])])).
% 59.37/10.04  tff(f19554,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X1)),divide_divide(X0,X2,X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11453])).
% 59.37/10.04  tff(f11453,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X1)),divide_divide(X0,X2,X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f2255])).
% 59.37/10.04  tff(f2255,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X61 : num,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X61)),divide_divide(X0,X49,X50))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X61)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2254_less__divide__eq__numeral_I1_J)).
% 59.37/10.04  tff(f68699,plain,(
% 59.37/10.04    spl2737_910),
% 59.37/10.04    inference(avatar_split_clause,[],[f38142,f68697])).
% 59.37/10.04  tff(f38142,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP75(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27201])).
% 59.37/10.04  tff(f27201,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP75(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19553,f27200,f27199,f27198])).
% 59.37/10.04  tff(f27198,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP73(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])])).
% 59.37/10.04  tff(f27199,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP74(X0,X2,X3,X1) <=> ((sP73(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])])).
% 59.37/10.04  tff(f27200,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),divide_divide(X0,X2,X3))) <=> sP74(X0,X2,X3,X1)) | ~sP75(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])])).
% 59.37/10.04  tff(f19553,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),divide_divide(X0,X2,X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11452])).
% 59.37/10.04  tff(f11452,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : num,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),divide_divide(X0,X2,X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X1)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X1)),X3)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f2274])).
% 59.37/10.04  tff(f2274,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X61 : num,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X61)),divide_divide(X0,X49,X50))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X61)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2273_le__divide__eq__numeral_I1_J)).
% 59.37/10.04  tff(f68695,plain,(
% 59.37/10.04    spl2737_909),
% 59.37/10.04    inference(avatar_split_clause,[],[f38127,f68693])).
% 59.37/10.04  tff(f38127,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP72(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27197])).
% 59.37/10.04  tff(f27197,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP72(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19552,f27196,f27195,f27194])).
% 59.37/10.04  tff(f27194,plain,(
% 59.37/10.04    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP70(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])])).
% 59.37/10.04  tff(f27195,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP71(X0,X1,X2,X3) <=> ((sP70(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])])).
% 59.37/10.04  tff(f27196,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),aa(num,X0,numeral_numeral(X0),X3))) <=> sP71(X0,X1,X2,X3)) | ~sP72(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])])).
% 59.37/10.04  tff(f19552,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),aa(num,X0,numeral_numeral(X0),X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11451])).
% 59.37/10.04  tff(f11451,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),aa(num,X0,numeral_numeral(X0),X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f2254])).
% 59.37/10.04  tff(f2254,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X61 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X49,X50)),aa(num,X0,numeral_numeral(X0),X61))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X61)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)),X49))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2253_divide__less__eq__numeral_I1_J)).
% 59.37/10.04  tff(f68691,plain,(
% 59.37/10.04    spl2737_908),
% 59.37/10.04    inference(avatar_split_clause,[],[f38112,f68689])).
% 59.37/10.04  tff(f38112,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP69(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27193])).
% 59.37/10.04  tff(f27193,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP69(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19551,f27192,f27191,f27190])).
% 59.37/10.04  tff(f27190,plain,(
% 59.37/10.04    ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP67(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])])).
% 59.37/10.04  tff(f27191,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP68(X0,X1,X2,X3) <=> ((sP67(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])])).
% 59.37/10.04  tff(f27192,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),aa(num,X0,numeral_numeral(X0),X3))) <=> sP68(X0,X1,X2,X3)) | ~sP69(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])])).
% 59.37/10.04  tff(f19551,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),aa(num,X0,numeral_numeral(X0),X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11450])).
% 59.37/10.04  tff(f11450,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),aa(num,X0,numeral_numeral(X0),X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X3)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)),X1))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X3)),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f2275])).
% 59.37/10.04  tff(f2275,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X61 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X49,X50)),aa(num,X0,numeral_numeral(X0),X61))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X61)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)),X49))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X61)),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2274_divide__le__eq__numeral_I1_J)).
% 59.37/10.04  tff(f68687,plain,(
% 59.37/10.04    spl2737_907),
% 59.37/10.04    inference(avatar_split_clause,[],[f38093,f68685])).
% 59.37/10.04  tff(f38093,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP66(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27189])).
% 59.37/10.04  tff(f27189,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP66(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19548,f27188,f27187])).
% 59.37/10.04  tff(f27188,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> sP65(X0,X2,X1,X3)) | ~sP66(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])])).
% 59.37/10.04  tff(f19548,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> (zero_zero(X0) != X2 & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11447])).
% 59.37/10.04  tff(f11447,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> (zero_zero(X0) != X2 & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),X1))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X3))))))),
% 59.37/10.04    inference(rectify,[],[f1121])).
% 59.37/10.04  tff(f1121,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X7,X50)),divide_divide(X0,X49,X50))) <=> (zero_zero(X0) != X50 & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1120_divide__less__cancel)).
% 59.37/10.04  tff(f68683,plain,(
% 59.37/10.04    spl2737_906),
% 59.37/10.04    inference(avatar_split_clause,[],[f38083,f68681])).
% 59.37/10.04  tff(f38083,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP64(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27186])).
% 59.37/10.04  tff(f27186,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP64(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19547,f27185,f27184])).
% 59.37/10.04  tff(f27184,plain,(
% 59.37/10.04    ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP63(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])])).
% 59.37/10.04  tff(f27185,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> sP63(X0,X1,X3,X2)) | ~sP64(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])])).
% 59.37/10.04  tff(f19547,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11446])).
% 59.37/10.04  tff(f11446,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),divide_divide(X0,X3,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),X1))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X3))))))),
% 59.37/10.04    inference(rectify,[],[f1195])).
% 59.37/10.04  tff(f1195,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X50 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X7,X50)),divide_divide(X0,X49,X50))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1194_divide__le__cancel)).
% 59.37/10.04  tff(f68679,plain,(
% 59.37/10.04    spl2737_905),
% 59.37/10.04    inference(avatar_split_clause,[],[f38074,f68677])).
% 59.37/10.04  tff(f38074,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP62(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27183])).
% 59.37/10.04  tff(f27183,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP62(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19546,f27182,f27181,f27180])).
% 59.37/10.04  tff(f27180,plain,(
% 59.37/10.04    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP60(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])])).
% 59.37/10.04  tff(f27181,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : X0,X0 : $tType] : (sP61(X0,X1,X2,X3) <=> ((sP60(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])])).
% 59.37/10.04  tff(f27182,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),X3)) <=> sP61(X0,X1,X2,X3)) | ~sP62(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])])).
% 59.37/10.04  tff(f19546,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),X3)) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11445])).
% 59.37/10.04  tff(f11445,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),X3)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f1019])).
% 59.37/10.04  tff(f1019,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X49,X50)),X7)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),X49))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1018_divide__less__eq)).
% 59.37/10.04  tff(f68675,plain,(
% 59.37/10.04    spl2737_904),
% 59.37/10.04    inference(avatar_split_clause,[],[f38059,f68673])).
% 59.37/10.04  tff(f38059,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP59(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27179])).
% 59.37/10.04  tff(f27179,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP59(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19545,f27178,f27177,f27176])).
% 59.37/10.04  tff(f27176,plain,(
% 59.37/10.04    ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP57(X0,X3,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])])).
% 59.37/10.04  tff(f27177,plain,(
% 59.37/10.04    ! [X1 : X0,X2 : X0,X3 : X0,X0 : $tType] : (sP58(X0,X1,X2,X3) <=> ((sP57(X0,X3,X2,X1) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])])).
% 59.37/10.04  tff(f27178,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),X3)) <=> sP58(X0,X1,X2,X3)) | ~sP59(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])])).
% 59.37/10.04  tff(f19545,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),X3)) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11444])).
% 59.37/10.04  tff(f11444,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),X3)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)),X1))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X3),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f1073])).
% 59.37/10.04  tff(f1073,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X50 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X49,X50)),X7)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X7))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),X49))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1072_divide__le__eq)).
% 59.37/10.04  tff(f68671,plain,(
% 59.37/10.04    spl2737_903),
% 59.37/10.04    inference(avatar_split_clause,[],[f38044,f68669])).
% 59.37/10.04  tff(f38044,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP56(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27175])).
% 59.37/10.04  tff(f27175,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP56(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19544,f27174,f27173,f27172])).
% 59.37/10.04  tff(f27172,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (sP54(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])])).
% 59.37/10.04  tff(f27173,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : X0,X0 : $tType] : (sP55(X0,X2,X3,X1) <=> ((sP54(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])])).
% 59.37/10.04  tff(f27174,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),divide_divide(X0,X2,X3))) <=> sP55(X0,X2,X3,X1)) | ~sP56(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])])).
% 59.37/10.04  tff(f19544,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),divide_divide(X0,X2,X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11443])).
% 59.37/10.04  tff(f11443,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),divide_divide(X0,X2,X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1018])).
% 59.37/10.04  tff(f1018,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),divide_divide(X0,X49,X50))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1017_less__divide__eq)).
% 59.37/10.04  tff(f68667,plain,(
% 59.37/10.04    spl2737_902),
% 59.37/10.04    inference(avatar_split_clause,[],[f38029,f68665])).
% 59.37/10.04  tff(f38029,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP53(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27171])).
% 59.37/10.04  tff(f27171,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP53(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19543,f27170,f27169,f27168])).
% 59.37/10.04  tff(f27168,plain,(
% 59.37/10.04    ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (sP51(X0,X1,X3,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])])).
% 59.37/10.04  tff(f27169,plain,(
% 59.37/10.04    ! [X2 : X0,X3 : X0,X1 : X0,X0 : $tType] : (sP52(X0,X2,X3,X1) <=> ((sP51(X0,X1,X3,X2) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])])).
% 59.37/10.04  tff(f27170,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),divide_divide(X0,X2,X3))) <=> sP52(X0,X2,X3,X1)) | ~sP53(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])])).
% 59.37/10.04  tff(f19543,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),divide_divide(X0,X2,X3))) <=> ((((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))))) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11442])).
% 59.37/10.04  tff(f11442,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),divide_divide(X0,X2,X3))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X3),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X3)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1074])).
% 59.37/10.04  tff(f1074,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0,X50 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),divide_divide(X0,X49,X50))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X50),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X50)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X50)),X49))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1073_le__divide__eq)).
% 59.37/10.04  tff(f68663,plain,(
% 59.37/10.04    spl2737_901),
% 59.37/10.04    inference(avatar_split_clause,[],[f37939,f68661])).
% 59.37/10.04  tff(f37939,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP50(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27167])).
% 59.37/10.04  tff(f27167,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP50(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19468,f27166,f27165])).
% 59.37/10.04  tff(f27165,plain,(
% 59.37/10.04    ! [X2 : X0,X1 : X0,X0 : $tType] : (sP49(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])])).
% 59.37/10.04  tff(f27166,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> sP49(X0,X2,X1)) | ~sP50(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])])).
% 59.37/10.04  tff(f19468,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11391])).
% 59.37/10.04  tff(f11391,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1275])).
% 59.37/10.04  tff(f1275,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X7)),aa(X0,X0,inverse_inverse(X0),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49)),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1274_inverse__less__iff)).
% 59.37/10.04  tff(f68659,plain,(
% 59.37/10.04    spl2737_900),
% 59.37/10.04    inference(avatar_split_clause,[],[f37930,f68657])).
% 59.37/10.04  tff(f37930,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP48(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27164])).
% 59.37/10.04  tff(f27164,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP48(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19467,f27163,f27162])).
% 59.37/10.04  tff(f27162,plain,(
% 59.37/10.04    ! [X2 : X0,X1 : X0,X0 : $tType] : (sP47(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])])).
% 59.37/10.04  tff(f27163,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> sP47(X0,X2,X1)) | ~sP48(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])])).
% 59.37/10.04  tff(f19467,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11390])).
% 59.37/10.04  tff(f11390,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X1)),aa(X0,X0,inverse_inverse(X0),X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2)),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X1),X2))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1276])).
% 59.37/10.04  tff(f1276,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X7)),aa(X0,X0,inverse_inverse(X0),X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49)),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X49))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X7),X49))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1275_inverse__le__iff)).
% 59.37/10.04  tff(f68655,plain,(
% 59.37/10.04    spl2737_899),
% 59.37/10.04    inference(avatar_split_clause,[],[f37913,f68653])).
% 59.37/10.04  tff(f37913,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP46(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27161])).
% 59.37/10.04  tff(f27161,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP46(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19463,f27160,f27159])).
% 59.37/10.04  tff(f27159,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP45(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])])).
% 59.37/10.04  tff(f27160,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> sP45(X0,X2,X1)) | ~sP46(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])])).
% 59.37/10.04  tff(f19463,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11386])).
% 59.37/10.04  tff(f11386,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1122])).
% 59.37/10.04  tff(f1122,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X7,X49)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1121_divide__less__0__iff)).
% 59.37/10.04  tff(f68651,plain,(
% 59.37/10.04    spl2737_898),
% 59.37/10.04    inference(avatar_split_clause,[],[f37904,f68649])).
% 59.37/10.04  tff(f37904,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP44(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27158])).
% 59.37/10.04  tff(f27158,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP44(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19462,f27157,f27156])).
% 59.37/10.04  tff(f27157,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> sP43(X0,X2,X1)) | ~sP44(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])])).
% 59.37/10.04  tff(f19462,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11385])).
% 59.37/10.04  tff(f11385,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1202])).
% 59.37/10.04  tff(f1202,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X49,X7)),one_one(X0))) <=> (zero_zero(X0) = X7 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1201_divide__less__eq__1)).
% 59.37/10.04  tff(f68647,plain,(
% 59.37/10.04    spl2737_897),
% 59.37/10.04    inference(avatar_split_clause,[],[f37894,f68645])).
% 59.37/10.04  tff(f37894,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP42(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27155])).
% 59.37/10.04  tff(f27155,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP42(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19461,f27154,f27153])).
% 59.37/10.04  tff(f27153,plain,(
% 59.37/10.04    ! [X2 : X0,X0 : $tType,X1 : X0] : (sP41(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])])).
% 59.37/10.04  tff(f27154,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> sP41(X0,X2,X1)) | ~sP42(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])])).
% 59.37/10.04  tff(f19461,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11384])).
% 59.37/10.04  tff(f11384,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1107])).
% 59.37/10.04  tff(f1107,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X7,X49)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1106_divide__le__0__iff)).
% 59.37/10.04  tff(f68643,plain,(
% 59.37/10.04    spl2737_896),
% 59.37/10.04    inference(avatar_split_clause,[],[f37885,f68641])).
% 59.37/10.04  tff(f37885,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP40(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27152])).
% 59.37/10.04  tff(f27152,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP40(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19460,f27151,f27150])).
% 59.37/10.04  tff(f27151,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> sP39(X0,X2,X1)) | ~sP40(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])])).
% 59.37/10.04  tff(f19460,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11383])).
% 59.37/10.04  tff(f11383,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X1,X2)),one_one(X0))) <=> (zero_zero(X0) = X2 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1263])).
% 59.37/10.04  tff(f1263,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X49,X7)),one_one(X0))) <=> (zero_zero(X0) = X7 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),X7)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1262_divide__le__eq__1)).
% 59.37/10.04  tff(f68639,plain,(
% 59.37/10.04    spl2737_895),
% 59.37/10.04    inference(avatar_split_clause,[],[f37875,f68637])).
% 59.37/10.04  tff(f37875,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP38(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27149])).
% 59.37/10.04  tff(f27149,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP38(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19459,f27148,f27147])).
% 59.37/10.04  tff(f27147,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP37(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])])).
% 59.37/10.04  tff(f27148,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> sP37(X0,X2,X1)) | ~sP38(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])])).
% 59.37/10.04  tff(f19459,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11382])).
% 59.37/10.04  tff(f11382,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1120])).
% 59.37/10.04  tff(f1120,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),divide_divide(X0,X7,X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1119_zero__less__divide__iff)).
% 59.37/10.04  tff(f68635,plain,(
% 59.37/10.04    spl2737_894),
% 59.37/10.04    inference(avatar_split_clause,[],[f37866,f68633])).
% 59.37/10.04  tff(f37866,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP36(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27146])).
% 59.37/10.04  tff(f27146,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP36(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19458,f27145,f27144])).
% 59.37/10.04  tff(f27144,plain,(
% 59.37/10.04    ! [X2 : X0,X1 : X0,X0 : $tType] : (sP35(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])])).
% 59.37/10.04  tff(f27145,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> sP35(X0,X2,X1)) | ~sP36(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])])).
% 59.37/10.04  tff(f19458,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11381])).
% 59.37/10.04  tff(f11381,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1201])).
% 59.37/10.04  tff(f1201,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),divide_divide(X0,X49,X7))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X49),X7)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1200_less__divide__eq__1)).
% 59.37/10.04  tff(f68631,plain,(
% 59.37/10.04    spl2737_893),
% 59.37/10.04    inference(avatar_split_clause,[],[f37857,f68629])).
% 59.37/10.04  tff(f37857,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP34(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27143])).
% 59.37/10.04  tff(f27143,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP34(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19457,f27142,f27141])).
% 59.37/10.04  tff(f27141,plain,(
% 59.37/10.04    ! [X0 : $tType,X2 : X0,X1 : X0] : (sP33(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])])).
% 59.37/10.04  tff(f27142,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> sP33(X0,X2,X1)) | ~sP34(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])])).
% 59.37/10.04  tff(f19457,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11380])).
% 59.37/10.04  tff(f11380,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f1109])).
% 59.37/10.04  tff(f1109,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X7 : X0,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X7,X49))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1108_zero__le__divide__iff)).
% 59.37/10.04  tff(f68627,plain,(
% 59.37/10.04    spl2737_892),
% 59.37/10.04    inference(avatar_split_clause,[],[f37848,f68625])).
% 59.37/10.04  tff(f37848,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP32(X0) | ~linordered_field(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27140])).
% 59.37/10.04  tff(f27140,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP32(X0) | ~linordered_field(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19456,f27139,f27138])).
% 59.37/10.04  tff(f27138,plain,(
% 59.37/10.04    ! [X2 : X0,X1 : X0,X0 : $tType] : (sP31(X0,X2,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2)))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])])).
% 59.37/10.04  tff(f27139,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> sP31(X0,X2,X1)) | ~sP32(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])])).
% 59.37/10.04  tff(f19456,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))) | ~linordered_field(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11379])).
% 59.37/10.04  tff(f11379,plain,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X1 : X0,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X1,X2))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X2),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X2))))))),
% 59.37/10.04    inference(rectify,[],[f1264])).
% 59.37/10.04  tff(f1264,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (linordered_field(X0) => ! [X49 : X0,X7 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X49,X7))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),X7)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X7),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X7),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1263_le__divide__eq__1)).
% 59.37/10.04  tff(f68623,plain,(
% 59.37/10.04    spl2737_891),
% 59.37/10.04    inference(avatar_split_clause,[],[f37468,f68621])).
% 59.37/10.04  tff(f37468,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP30(X0) | ~semiring_gcd(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27137])).
% 59.37/10.04  tff(f27137,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP30(X0) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19159,f27136,f27135])).
% 59.37/10.04  tff(f19159,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2))) & aa(X0,X0,normal6383669964737779283malize(X0),X1) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3) = X1) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(flattening,[],[f19158])).
% 59.37/10.04  tff(f19158,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1)) | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2)))) & aa(X0,X0,normal6383669964737779283malize(X0),X1) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3) = X1) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11137])).
% 59.37/10.04  tff(f11137,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : ((! [X4 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X2))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X4),X1))) & aa(X0,X0,normal6383669964737779283malize(X0),X1) = X1 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X2),X3) = X1))),
% 59.37/10.04    inference(rectify,[],[f7552])).
% 59.37/10.04  tff(f7552,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X53 : X0,X7 : X0,X49 : X0] : ((! [X156 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X156),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X156),X7))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X156),X53))) & aa(X0,X0,normal6383669964737779283malize(X0),X53) = X53 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X53),X49)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X53),X7))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_gcd(X0),X7),X49) = X53))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7551_gcd__unique)).
% 59.37/10.04  tff(f68619,plain,(
% 59.37/10.04    spl2737_890),
% 59.37/10.04    inference(avatar_split_clause,[],[f37458,f68617])).
% 59.37/10.04  tff(f37458,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP28(X0) | ~semiring_gcd(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27134])).
% 59.37/10.04  tff(f27134,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP28(X0) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(definition_folding,[],[f19157,f27133,f27132])).
% 59.37/10.04  tff(f19157,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4))) & aa(X0,X0,normal6383669964737779283malize(X0),X2) = X2 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3) = X2) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(flattening,[],[f19156])).
% 59.37/10.04  tff(f19156,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : ((! [X4 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4)) | (~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4)))) & aa(X0,X0,normal6383669964737779283malize(X0),X2) = X2 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3) = X2) | ~semiring_gcd(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f11136])).
% 59.37/10.04  tff(f11136,plain,(
% 59.37/10.04    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X1 : X0,X2 : X0,X3 : X0] : ((! [X4 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X4)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X4))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X2),X4))) & aa(X0,X0,normal6383669964737779283malize(X0),X2) = X2 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X3),X2)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X1),X2))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X1),X3) = X2))),
% 59.37/10.04    inference(rectify,[],[f7616])).
% 59.37/10.04  tff(f7616,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (semiring_gcd(X0) => ! [X7 : X0,X53 : X0,X49 : X0] : ((! [X156 : X0] : ((pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X49),X156)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X7),X156))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X53),X156))) & aa(X0,X0,normal6383669964737779283malize(X0),X53) = X53 & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X49),X53)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),dvd_dvd(X0),X7),X53))) <=> aa(X0,X0,aa(X0,fun(X0,X0),gcd_lcm(X0),X7),X49) = X53))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7615_lcm__unique)).
% 59.37/10.04  tff(f68615,plain,(
% 59.37/10.04    spl2737_889),
% 59.37/10.04    inference(avatar_split_clause,[],[f37224,f68613])).
% 59.37/10.04  tff(f37224,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP26(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27131])).
% 59.37/10.04  tff(f27131,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP26(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18989,f27130,f27129])).
% 59.37/10.04  tff(f18989,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : X0,X2 : real,X3 : real,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) = X1 <=> ((real_V8093663219630862766scaleR(X0,X2,X4) = real_V8093663219630862766scaleR(X0,X3,X1) | zero_zero(real) = X3) & (zero_zero(X0) = X1 | zero_zero(real) != X3))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10992])).
% 59.37/10.04  tff(f10992,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0,X2 : real,X3 : real,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X2,X3),X4) = X1 <=> ((zero_zero(real) != X3 => real_V8093663219630862766scaleR(X0,X2,X4) = real_V8093663219630862766scaleR(X0,X3,X1)) & (zero_zero(real) = X3 => zero_zero(X0) = X1))))),
% 59.37/10.04    inference(rectify,[],[f3964])).
% 59.37/10.04  tff(f3964,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X14 : X0,X132 : real,X133 : real,X7 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X132,X133),X7) = X14 <=> ((zero_zero(real) != X133 => real_V8093663219630862766scaleR(X0,X132,X7) = real_V8093663219630862766scaleR(X0,X133,X14)) & (zero_zero(real) = X133 => zero_zero(X0) = X14))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3963_eq__vector__fraction__iff)).
% 59.37/10.04  tff(f68611,plain,(
% 59.37/10.04    spl2737_888),
% 59.37/10.04    inference(avatar_split_clause,[],[f37215,f68609])).
% 59.37/10.04  tff(f37215,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP24(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27128])).
% 59.37/10.04  tff(f27128,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP24(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18988,f27127,f27126])).
% 59.37/10.04  tff(f18988,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : real,X2 : real,X3 : X0,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) = X4 <=> ((real_V8093663219630862766scaleR(X0,X1,X3) = real_V8093663219630862766scaleR(X0,X2,X4) | zero_zero(real) = X2) & (zero_zero(X0) = X4 | zero_zero(real) != X2))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10991])).
% 59.37/10.04  tff(f10991,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : real,X2 : real,X3 : X0,X4 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X1,X2),X3) = X4 <=> ((zero_zero(real) != X2 => real_V8093663219630862766scaleR(X0,X1,X3) = real_V8093663219630862766scaleR(X0,X2,X4)) & (zero_zero(real) = X2 => zero_zero(X0) = X4))))),
% 59.37/10.04    inference(rectify,[],[f3963])).
% 59.37/10.04  tff(f3963,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X132 : real,X133 : real,X7 : X0,X14 : X0] : (real_V8093663219630862766scaleR(X0,divide_divide(real,X132,X133),X7) = X14 <=> ((zero_zero(real) != X133 => real_V8093663219630862766scaleR(X0,X132,X7) = real_V8093663219630862766scaleR(X0,X133,X14)) & (zero_zero(real) = X133 => zero_zero(X0) = X14))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3962_vector__fraction__eq__iff)).
% 59.37/10.04  tff(f68607,plain,(
% 59.37/10.04    spl2737_887),
% 59.37/10.04    inference(avatar_split_clause,[],[f37134,f68605])).
% 59.37/10.04  tff(f37134,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP22(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27125])).
% 59.37/10.04  tff(f27125,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP22(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18926,f27124,f27123])).
% 59.37/10.04  tff(f18926,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> ? [X2 : fun(X0,real)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,X2,X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10942])).
% 59.37/10.04  tff(f10942,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> ? [X2 : fun(X0,real)] : (? [X3 : X0] : zero_zero(real) != aa(X0,real,X2,X3) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f6552])).
% 59.37/10.04  tff(f6552,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X52 : set(X0)] : (real_V358717886546972837endent(X0,X52) <=> ? [X300 : fun(X0,real)] : (? [X115 : X0] : zero_zero(real) != aa(X0,real,X300,X115) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X300)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X300))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X300))),X52)) & pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X300)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6551_dependent__alt)).
% 59.37/10.04  tff(f68603,plain,(
% 59.37/10.04    spl2737_886),
% 59.37/10.04    inference(avatar_split_clause,[],[f37126,f68601])).
% 59.37/10.04  tff(f37126,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP20(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27122])).
% 59.37/10.04  tff(f27122,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP20(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18925,f27121,f27120])).
% 59.37/10.04  tff(f18925,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> ? [X2 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X2)))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10941])).
% 59.37/10.04  tff(f10941,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> ? [X2 : set(X0)] : (? [X3 : fun(X0,real)] : (? [X4 : X0] : (zero_zero(real) != aa(X0,real,X3,X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) & pp(aa(set(X0),bool,finite_finite(X0),X2)))))),
% 59.37/10.04    inference(rectify,[],[f6555])).
% 59.37/10.04  tff(f6555,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X40 : set(X0)] : (real_V358717886546972837endent(X0,X40) <=> ? [X302 : set(X0)] : (? [X291 : fun(X0,real)] : (? [X115 : X0] : (zero_zero(real) != aa(X0,real,X291,X115) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X302))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X291)),X302)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X302),X40)) & pp(aa(set(X0),bool,finite_finite(X0),X302)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6554_dependent__explicit)).
% 59.37/10.04  tff(f68599,plain,(
% 59.37/10.04    spl2737_885),
% 59.37/10.04    inference(avatar_split_clause,[],[f37117,f68597])).
% 59.37/10.04  tff(f37117,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP18(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27119])).
% 59.37/10.04  tff(f27119,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP18(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18924,f27118,f27117,f27116])).
% 59.37/10.04  tff(f18924,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (real_Vector_subspace(X0,X1) <=> (! [X2 : real,X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X2,X3)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & ! [X4 : X0] : (! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X1))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X1)))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10940])).
% 59.37/10.04  tff(f10940,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : (real_Vector_subspace(X0,X1) <=> (! [X2 : real,X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X2,X3)),X1))) & ! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) => ! [X5 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X1)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X4),X5)),X1)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X1)))))),
% 59.37/10.04    inference(rectify,[],[f7986])).
% 59.37/10.04  tff(f7986,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X119 : set(X0)] : (real_Vector_subspace(X0,X119) <=> (! [X109 : real,X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X119)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),real_V8093663219630862766scaleR(X0,X109,X115)),X119))) & ! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X119)) => ! [X138 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X138),X119)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X115),X138)),X119)))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),zero_zero(X0)),X119)))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7985_subspace__def)).
% 59.37/10.04  tff(f68595,plain,(
% 59.37/10.04    spl2737_884),
% 59.37/10.04    inference(avatar_split_clause,[],[f37105,f68593])).
% 59.37/10.04  tff(f37105,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP15(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27115])).
% 59.37/10.04  tff(f27115,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP15(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18923,f27114,f27113])).
% 59.37/10.04  tff(f18923,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(flattening,[],[f18922])).
% 59.37/10.04  tff(f18922,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : ((((zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10939])).
% 59.37/10.04  tff(f10939,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : set(X0),X3 : fun(X0,real),X4 : X0] : (pp(aa(set(X0),bool,finite_finite(X0),X2)) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) => (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) => zero_zero(real) = aa(X0,real,X3,X4)))))))),
% 59.37/10.04    inference(rectify,[],[f6554])).
% 59.37/10.04  tff(f6554,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X40 : set(X0)] : (~real_V358717886546972837endent(X0,X40) <=> ! [X302 : set(X0),X291 : fun(X0,real),X303 : X0] : (pp(aa(set(X0),bool,finite_finite(X0),X302)) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X302),X40)) => (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X291)),X302) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X303),X302)) => zero_zero(real) = aa(X0,real,X291,X303)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6553_independent__explicit__module)).
% 59.37/10.04  tff(f68591,plain,(
% 59.37/10.04    spl2737_883),
% 59.37/10.04    inference(avatar_split_clause,[],[f37096,f68589])).
% 59.37/10.04  tff(f37096,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP13(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27112])).
% 59.37/10.04  tff(f27112,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP13(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18921,f27111,f27110])).
% 59.37/10.04  tff(f18921,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : set(X0)] : (! [X3 : fun(X0,real)] : (! [X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(flattening,[],[f18920])).
% 59.37/10.04  tff(f18920,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : set(X0)] : ((! [X3 : fun(X0,real)] : (! [X4 : X0] : (zero_zero(real) = aa(X0,real,X3,X4) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,finite_finite(X0),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10938])).
% 59.37/10.04  tff(f10938,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) => (pp(aa(set(X0),bool,finite_finite(X0),X2)) => ! [X3 : fun(X0,real)] : (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X3)),X2) => ! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) => zero_zero(real) = aa(X0,real,X3,X4)))))))),
% 59.37/10.04    inference(rectify,[],[f6553])).
% 59.37/10.04  tff(f6553,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X30 : set(X0)] : (~real_V358717886546972837endent(X0,X30) <=> ! [X301 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X301),X30)) => (pp(aa(set(X0),bool,finite_finite(X0),X301)) => ! [X291 : fun(X0,real)] : (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X291)),X301) => ! [X115 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X301)) => zero_zero(real) = aa(X0,real,X291,X115)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6552_independent__explicit__finite__subsets)).
% 59.37/10.04  tff(f68587,plain,(
% 59.37/10.04    spl2737_882),
% 59.37/10.04    inference(avatar_split_clause,[],[f37087,f68585])).
% 59.37/10.04  tff(f37087,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP11(X0) | ~real_V4867850818363320053vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27109])).
% 59.37/10.04  tff(f27109,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP11(X0) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18919,f27108,f27107])).
% 59.37/10.04  tff(f18919,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : fun(X0,real)] : (! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(flattening,[],[f18918])).
% 59.37/10.04  tff(f18918,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : fun(X0,real)] : (((! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3) | zero_zero(X0) != aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1))) | ~pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))))) | ~real_V4867850818363320053vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10937])).
% 59.37/10.04  tff(f10937,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : fun(X0,real)] : (pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2)))) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))),X1)) => (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X2)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X2))) => ! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3))))))),
% 59.37/10.04    inference(rectify,[],[f6551])).
% 59.37/10.04  tff(f6551,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X52 : set(X0)] : (~real_V358717886546972837endent(X0,X52) <=> ! [X300 : fun(X0,real)] : (pp(aa(set(X0),bool,finite_finite(X0),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X300)))) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X300))),X52)) => (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_aay(fun(X0,real),fun(X0,X0),X300)),collect(X0,aTP_Lamp_aaz(fun(X0,real),fun(X0,bool),X300))) => ! [X115 : X0] : zero_zero(real) = aa(X0,real,X300,X115))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6550_independent__alt)).
% 59.37/10.04  tff(f68583,plain,(
% 59.37/10.04    spl2737_881),
% 59.37/10.04    inference(avatar_split_clause,[],[f36580,f68581])).
% 59.37/10.04  tff(f36580,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP8(X0) | ~real_V7819770556892013058_space(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27104])).
% 59.37/10.04  tff(f27104,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP8(X0) | ~real_V7819770556892013058_space(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18545,f27103,f27102])).
% 59.37/10.04  tff(f27102,plain,(
% 59.37/10.04    ! [X2 : X0,X1 : fun(nat,X0),X0 : $tType] : (sP7(X0,X2,X1) <=> ! [X3 : real] : (? [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X5),X2)),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X3))))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])).
% 59.37/10.04  tff(f18545,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : real] : (? [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X5),X2)),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)))) | ~real_V7819770556892013058_space(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10619])).
% 59.37/10.04  tff(f10619,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)) => ? [X4 : nat] : (! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X5),X2)),X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X4))))))),
% 59.37/10.04    inference(rectify,[],[f5969])).
% 59.37/10.04  tff(f5969,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X148 : fun(nat,X0),X279 : X0] : (filterlim(nat,X0,X148,topolo7230453075368039082e_nhds(X0,X279),at_top(nat)) <=> ! [X205 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X205)) => ? [X284 : nat] : (! [X62 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X284),X62)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X148,X62),X279)),X205))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X284))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5968_LIMSEQ__iff__nz)).
% 59.37/10.04  tff(f68579,plain,(
% 59.37/10.04    spl2737_880),
% 59.37/10.04    inference(avatar_split_clause,[],[f36562,f68577])).
% 59.37/10.04  tff(f36562,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP6(X0) | ~real_V7819770556892013058_space(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27101])).
% 59.37/10.04  tff(f27101,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP6(X0) | ~real_V7819770556892013058_space(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18537,f27100,f27099])).
% 59.37/10.04  tff(f18537,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)))) | ~real_V7819770556892013058_space(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10612])).
% 59.37/10.04  tff(f10612,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X2)) => ? [X3 : nat] : ! [X4 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X4)) => ! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X4),X5)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X1,X4),aa(nat,X0,X1,X5))),X2)))))))),
% 59.37/10.04    inference(rectify,[],[f2269])).
% 59.37/10.04  tff(f2269,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X32 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X32) <=> ! [X156 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X156)) => ? [X149 : nat] : ! [X36 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X149),X36)) => ! [X62 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X36),X62)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X32,X36),aa(nat,X0,X32,X62))),X156)))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2268_Cauchy__altdef)).
% 59.37/10.04  tff(f68575,plain,(
% 59.37/10.04    spl2737_879),
% 59.37/10.04    inference(avatar_split_clause,[],[f36481,f68573])).
% 59.37/10.04  tff(f36481,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP4(X0) | ~real_V5355595471888546746vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27098])).
% 59.37/10.04  tff(f27098,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP4(X0) | ~real_V5355595471888546746vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18481,f27097,f27096])).
% 59.37/10.04  tff(f27097,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),zero_zero(X0))) <=> sP3(X0,X1,X2)) | ~sP4(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])).
% 59.37/10.04  tff(f18481,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),zero_zero(X0))) <=> (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))) | ~real_V5355595471888546746vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10566])).
% 59.37/10.04  tff(f10566,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),zero_zero(X0))) <=> (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f3970])).
% 59.37/10.04  tff(f3970,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X7 : real,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X7,X49)),zero_zero(X0))) <=> (zero_zero(real) = X7 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X49)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X7),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3969_scaleR__le__0__iff)).
% 59.37/10.04  tff(f68571,plain,(
% 59.37/10.04    spl2737_878),
% 59.37/10.04    inference(avatar_split_clause,[],[f36471,f68569])).
% 59.37/10.04  tff(f36471,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (sP2(X0) | ~real_V5355595471888546746vector(X0)) )),
% 59.37/10.04    inference(cnf_transformation,[],[f27095])).
% 59.37/10.04  tff(f27095,plain,(
% 59.37/10.04    ! [X0 : $tType] : (sP2(X0) | ~real_V5355595471888546746vector(X0))),
% 59.37/10.04    inference(definition_folding,[],[f18480,f27094,f27093])).
% 59.37/10.04  tff(f27094,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X1,X2))) <=> sP1(X0,X1,X2)) | ~sP2(X0))),
% 59.37/10.04    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).
% 59.37/10.04  tff(f18480,plain,(
% 59.37/10.04    ! [X0 : $tType] : (! [X1 : real,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X1,X2))) <=> (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))) | ~real_V5355595471888546746vector(X0))),
% 59.37/10.04    inference(ennf_transformation,[],[f10565])).
% 59.37/10.04  tff(f10565,plain,(
% 59.37/10.04    ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X1,X2))) <=> (zero_zero(real) = X1 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X1),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X2)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))))),
% 59.37/10.04    inference(rectify,[],[f3969])).
% 59.37/10.04  tff(f3969,axiom,(
% 59.37/10.04    ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X7 : real,X49 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X7,X49))) <=> (zero_zero(real) = X7 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X49),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X7),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X49)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X7))))))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3968_zero__le__scaleR__iff)).
% 59.37/10.04  tff(f68567,plain,(
% 59.37/10.04    spl2737_877),
% 59.37/10.04    inference(avatar_split_clause,[],[f35773,f68565])).
% 59.37/10.04  tff(f68565,plain,(
% 59.37/10.04    spl2737_877 <=> ! [X0 : bool] : ~vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_877])])).
% 59.37/10.04  tff(f35773,plain,(
% 59.37/10.04    ( ! [X0 : bool] : (~vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9943])).
% 59.37/10.04  tff(f9943,plain,(
% 59.37/10.04    ! [X0 : bool] : ~vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X0))),
% 59.37/10.04    inference(rectify,[],[f392])).
% 59.37/10.04  tff(f392,axiom,(
% 59.37/10.04    ! [X95 : bool] : ~vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X95))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_391_VEBT__internal_OminNull_Osimps_I2_J)).
% 59.37/10.04  tff(f68563,plain,(
% 59.37/10.04    spl2737_876),
% 59.37/10.04    inference(avatar_split_clause,[],[f35772,f68561])).
% 59.37/10.04  tff(f68561,plain,(
% 59.37/10.04    spl2737_876 <=> ! [X0 : bool] : ~vEBT_VEBT_minNull(vEBT_Leaf(X0,fTrue))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_876])])).
% 59.37/10.04  tff(f35772,plain,(
% 59.37/10.04    ( ! [X0 : bool] : (~vEBT_VEBT_minNull(vEBT_Leaf(X0,fTrue))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9942])).
% 59.37/10.04  tff(f9942,plain,(
% 59.37/10.04    ! [X0 : bool] : ~vEBT_VEBT_minNull(vEBT_Leaf(X0,fTrue))),
% 59.37/10.04    inference(rectify,[],[f391])).
% 59.37/10.04  tff(f391,axiom,(
% 59.37/10.04    ! [X94 : bool] : ~vEBT_VEBT_minNull(vEBT_Leaf(X94,fTrue))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_390_VEBT__internal_OminNull_Osimps_I3_J)).
% 59.37/10.04  tff(f68559,plain,(
% 59.37/10.04    spl2737_875),
% 59.37/10.04    inference(avatar_split_clause,[],[f35388,f68556])).
% 59.37/10.04  tff(f68556,plain,(
% 59.37/10.04    spl2737_875 <=> order_mono(nat,nat,suc)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_875])])).
% 59.37/10.04  tff(f35388,plain,(
% 59.37/10.04    order_mono(nat,nat,suc)),
% 59.37/10.04    inference(cnf_transformation,[],[f5608])).
% 59.37/10.04  tff(f5608,axiom,(
% 59.37/10.04    order_mono(nat,nat,suc)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5607_mono__Suc)).
% 59.37/10.04  tff(f68553,plain,(
% 59.37/10.04    spl2737_874),
% 59.37/10.04    inference(avatar_split_clause,[],[f35387,f68550])).
% 59.37/10.04  tff(f35387,plain,(
% 59.37/10.04    vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse))),
% 59.37/10.04    inference(cnf_transformation,[],[f393])).
% 59.37/10.04  tff(f393,axiom,(
% 59.37/10.04    vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_392_VEBT__internal_OminNull_Osimps_I1_J)).
% 59.37/10.04  tff(f68548,plain,(
% 59.37/10.04    ~spl2737_873),
% 59.37/10.04    inference(avatar_split_clause,[],[f35385,f68545])).
% 59.37/10.04  tff(f68545,plain,(
% 59.37/10.04    spl2737_873 <=> one_one(complex) = imaginary_unit),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_873])])).
% 59.37/10.04  tff(f35385,plain,(
% 59.37/10.04    one_one(complex) != imaginary_unit),
% 59.37/10.04    inference(cnf_transformation,[],[f3313])).
% 59.37/10.04  tff(f3313,axiom,(
% 59.37/10.04    one_one(complex) != imaginary_unit),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3312_complex__i__not__one)).
% 59.37/10.04  tff(f68543,plain,(
% 59.37/10.04    ~spl2737_872 | spl2737_871),
% 59.37/10.04    inference(avatar_split_clause,[],[f68538,f68533,f68540])).
% 59.37/10.04  tff(f68533,plain,(
% 59.37/10.04    spl2737_871 <=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),m))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_871])])).
% 59.37/10.04  tff(f68538,plain,(
% 59.37/10.04    ~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),m),size_num(one2))) | spl2737_871),
% 59.37/10.04    inference(forward_demodulation,[],[f68537,f35397])).
% 59.37/10.04  tff(f68537,plain,(
% 59.37/10.04    ~pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),m),zero_zero(nat))) | spl2737_871),
% 59.37/10.04    inference(forward_demodulation,[],[f68535,f50171])).
% 59.37/10.04  tff(f68535,plain,(
% 59.37/10.04    ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),m)) | spl2737_871),
% 59.37/10.04    inference(avatar_component_clause,[],[f68533])).
% 59.37/10.04  tff(f68536,plain,(
% 59.37/10.04    ~spl2737_871),
% 59.37/10.04    inference(avatar_split_clause,[],[f34555,f68533])).
% 59.37/10.04  tff(f34555,plain,(
% 59.37/10.04    ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),m))),
% 59.37/10.04    inference(cnf_transformation,[],[f9898])).
% 59.37/10.04  tff(f9898,plain,(
% 59.37/10.04    ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),m))),
% 59.37/10.04    inference(flattening,[],[f9897])).
% 59.37/10.04  tff(f9897,negated_conjecture,(
% 59.37/10.04    ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),m))),
% 59.37/10.04    inference(negated_conjecture,[],[f9896])).
% 59.37/10.04  tff(f9896,conjecture,(
% 59.37/10.04    pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),m))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 59.37/10.04  tff(f68531,plain,(
% 59.37/10.04    spl2737_870),
% 59.37/10.04    inference(avatar_split_clause,[],[f35770,f68529])).
% 59.37/10.04  tff(f68529,plain,(
% 59.37/10.04    spl2737_870 <=> ! [X0 : $tType] : order(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_870])])).
% 59.37/10.04  tff(f35770,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (order(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9940])).
% 59.37/10.04  tff(f9940,plain,(
% 59.37/10.04    ! [X0 : $tType] : order(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9350])).
% 59.37/10.04  tff(f9350,axiom,(
% 59.37/10.04    ! [X271 : $tType] : order(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder_220)).
% 59.37/10.04  tff(f68527,plain,(
% 59.37/10.04    spl2737_869),
% 59.37/10.04    inference(avatar_split_clause,[],[f35769,f68525])).
% 59.37/10.04  tff(f68525,plain,(
% 59.37/10.04    spl2737_869 <=> ! [X0 : $tType] : order(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_869])])).
% 59.37/10.04  tff(f35769,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (order(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9939])).
% 59.37/10.04  tff(f9939,plain,(
% 59.37/10.04    ! [X0 : $tType] : order(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9527])).
% 59.37/10.04  tff(f9527,axiom,(
% 59.37/10.04    ! [X271 : $tType] : order(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder_375)).
% 59.37/10.04  tff(f68523,plain,(
% 59.37/10.04    spl2737_868),
% 59.37/10.04    inference(avatar_split_clause,[],[f35768,f68521])).
% 59.37/10.04  tff(f68521,plain,(
% 59.37/10.04    spl2737_868 <=> ! [X0 : $tType] : ord(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_868])])).
% 59.37/10.04  tff(f35768,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (ord(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9938])).
% 59.37/10.04  tff(f9938,plain,(
% 59.37/10.04    ! [X0 : $tType] : ord(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9351])).
% 59.37/10.04  tff(f9351,axiom,(
% 59.37/10.04    ! [X271 : $tType] : ord(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oord_221)).
% 59.37/10.04  tff(f68519,plain,(
% 59.37/10.04    spl2737_867),
% 59.37/10.04    inference(avatar_split_clause,[],[f35767,f68517])).
% 59.37/10.04  tff(f68517,plain,(
% 59.37/10.04    spl2737_867 <=> ! [X0 : $tType] : ord(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_867])])).
% 59.37/10.04  tff(f35767,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (ord(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9937])).
% 59.37/10.04  tff(f9937,plain,(
% 59.37/10.04    ! [X0 : $tType] : ord(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9528])).
% 59.37/10.04  tff(f9528,axiom,(
% 59.37/10.04    ! [X271 : $tType] : ord(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oord_376)).
% 59.37/10.04  tff(f68515,plain,(
% 59.37/10.04    spl2737_866),
% 59.37/10.04    inference(avatar_split_clause,[],[f35766,f68513])).
% 59.37/10.04  tff(f68513,plain,(
% 59.37/10.04    spl2737_866 <=> ! [X0 : $tType] : preorder(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_866])])).
% 59.37/10.04  tff(f35766,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (preorder(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9936])).
% 59.37/10.04  tff(f9936,plain,(
% 59.37/10.04    ! [X0 : $tType] : preorder(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9348])).
% 59.37/10.04  tff(f9348,axiom,(
% 59.37/10.04    ! [X271 : $tType] : preorder(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Opreorder_218)).
% 59.37/10.04  tff(f68511,plain,(
% 59.37/10.04    spl2737_865),
% 59.37/10.04    inference(avatar_split_clause,[],[f35765,f68509])).
% 59.37/10.04  tff(f68509,plain,(
% 59.37/10.04    spl2737_865 <=> ! [X0 : $tType] : preorder(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_865])])).
% 59.37/10.04  tff(f35765,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (preorder(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9935])).
% 59.37/10.04  tff(f9935,plain,(
% 59.37/10.04    ! [X0 : $tType] : preorder(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9525])).
% 59.37/10.04  tff(f9525,axiom,(
% 59.37/10.04    ! [X271 : $tType] : preorder(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Opreorder_373)).
% 59.37/10.04  tff(f68507,plain,(
% 59.37/10.04    spl2737_864),
% 59.37/10.04    inference(avatar_split_clause,[],[f35764,f68505])).
% 59.37/10.04  tff(f68505,plain,(
% 59.37/10.04    spl2737_864 <=> ! [X0 : $tType] : minus(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_864])])).
% 59.37/10.04  tff(f35764,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (minus(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9934])).
% 59.37/10.04  tff(f9934,plain,(
% 59.37/10.04    ! [X0 : $tType] : minus(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9353])).
% 59.37/10.04  tff(f9353,axiom,(
% 59.37/10.04    ! [X271 : $tType] : minus(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Groups_Ominus_223)).
% 59.37/10.04  tff(f68503,plain,(
% 59.37/10.04    spl2737_863),
% 59.37/10.04    inference(avatar_split_clause,[],[f35763,f68501])).
% 59.37/10.04  tff(f68501,plain,(
% 59.37/10.04    spl2737_863 <=> ! [X0 : $tType] : semilattice_sup(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_863])])).
% 59.37/10.04  tff(f35763,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semilattice_sup(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9933])).
% 59.37/10.04  tff(f9933,plain,(
% 59.37/10.04    ! [X0 : $tType] : semilattice_sup(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9343])).
% 59.37/10.04  tff(f9343,axiom,(
% 59.37/10.04    ! [X271 : $tType] : semilattice_sup(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Osemilattice__sup_213)).
% 59.37/10.04  tff(f68499,plain,(
% 59.37/10.04    spl2737_862),
% 59.37/10.04    inference(avatar_split_clause,[],[f35762,f68497])).
% 59.37/10.04  tff(f68497,plain,(
% 59.37/10.04    spl2737_862 <=> ! [X0 : $tType] : semilattice_sup(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_862])])).
% 59.37/10.04  tff(f35762,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semilattice_sup(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9932])).
% 59.37/10.04  tff(f9932,plain,(
% 59.37/10.04    ! [X0 : $tType] : semilattice_sup(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9520])).
% 59.37/10.04  tff(f9520,axiom,(
% 59.37/10.04    ! [X271 : $tType] : semilattice_sup(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Osemilattice__sup_368)).
% 59.37/10.04  tff(f68495,plain,(
% 59.37/10.04    spl2737_861),
% 59.37/10.04    inference(avatar_split_clause,[],[f35761,f68493])).
% 59.37/10.04  tff(f68493,plain,(
% 59.37/10.04    spl2737_861 <=> ! [X0 : $tType] : semilattice_inf(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_861])])).
% 59.37/10.04  tff(f35761,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semilattice_inf(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9931])).
% 59.37/10.04  tff(f9931,plain,(
% 59.37/10.04    ! [X0 : $tType] : semilattice_inf(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9344])).
% 59.37/10.04  tff(f9344,axiom,(
% 59.37/10.04    ! [X271 : $tType] : semilattice_inf(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Osemilattice__inf_214)).
% 59.37/10.04  tff(f68491,plain,(
% 59.37/10.04    spl2737_860),
% 59.37/10.04    inference(avatar_split_clause,[],[f35760,f68489])).
% 59.37/10.04  tff(f68489,plain,(
% 59.37/10.04    spl2737_860 <=> ! [X0 : $tType] : semilattice_inf(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_860])])).
% 59.37/10.04  tff(f35760,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (semilattice_inf(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9930])).
% 59.37/10.04  tff(f9930,plain,(
% 59.37/10.04    ! [X0 : $tType] : semilattice_inf(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9521])).
% 59.37/10.04  tff(f9521,axiom,(
% 59.37/10.04    ! [X271 : $tType] : semilattice_inf(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Osemilattice__inf_369)).
% 59.37/10.04  tff(f68487,plain,(
% 59.37/10.04    spl2737_859),
% 59.37/10.04    inference(avatar_split_clause,[],[f35759,f68485])).
% 59.37/10.04  tff(f68485,plain,(
% 59.37/10.04    spl2737_859 <=> ! [X0 : $tType] : lattice(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_859])])).
% 59.37/10.04  tff(f35759,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (lattice(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9929])).
% 59.37/10.04  tff(f9929,plain,(
% 59.37/10.04    ! [X0 : $tType] : lattice(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9349])).
% 59.37/10.04  tff(f9349,axiom,(
% 59.37/10.04    ! [X271 : $tType] : lattice(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Olattice_219)).
% 59.37/10.04  tff(f68483,plain,(
% 59.37/10.04    spl2737_858),
% 59.37/10.04    inference(avatar_split_clause,[],[f35758,f68481])).
% 59.37/10.04  tff(f68481,plain,(
% 59.37/10.04    spl2737_858 <=> ! [X0 : $tType] : lattice(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_858])])).
% 59.37/10.04  tff(f35758,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (lattice(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9928])).
% 59.37/10.04  tff(f9928,plain,(
% 59.37/10.04    ! [X0 : $tType] : lattice(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9526])).
% 59.37/10.04  tff(f9526,axiom,(
% 59.37/10.04    ! [X271 : $tType] : lattice(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Olattice_374)).
% 59.37/10.04  tff(f68479,plain,(
% 59.37/10.04    spl2737_857),
% 59.37/10.04    inference(avatar_split_clause,[],[f35757,f68477])).
% 59.37/10.04  tff(f68477,plain,(
% 59.37/10.04    spl2737_857 <=> ! [X0 : $tType] : distrib_lattice(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_857])])).
% 59.37/10.04  tff(f35757,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (distrib_lattice(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9927])).
% 59.37/10.04  tff(f9927,plain,(
% 59.37/10.04    ! [X0 : $tType] : distrib_lattice(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9345])).
% 59.37/10.04  tff(f9345,axiom,(
% 59.37/10.04    ! [X271 : $tType] : distrib_lattice(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Odistrib__lattice_215)).
% 59.37/10.04  tff(f68475,plain,(
% 59.37/10.04    spl2737_856),
% 59.37/10.04    inference(avatar_split_clause,[],[f35756,f68473])).
% 59.37/10.04  tff(f68473,plain,(
% 59.37/10.04    spl2737_856 <=> ! [X0 : $tType] : distrib_lattice(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_856])])).
% 59.37/10.04  tff(f35756,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (distrib_lattice(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9926])).
% 59.37/10.04  tff(f9926,plain,(
% 59.37/10.04    ! [X0 : $tType] : distrib_lattice(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9522])).
% 59.37/10.04  tff(f9522,axiom,(
% 59.37/10.04    ! [X271 : $tType] : distrib_lattice(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Odistrib__lattice_370)).
% 59.37/10.04  tff(f68471,plain,(
% 59.37/10.04    spl2737_855),
% 59.37/10.04    inference(avatar_split_clause,[],[f35755,f68469])).
% 59.37/10.04  tff(f68469,plain,(
% 59.37/10.04    spl2737_855 <=> ! [X0 : $tType] : size(list(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_855])])).
% 59.37/10.04  tff(f35755,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (size(list(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9925])).
% 59.37/10.04  tff(f9925,plain,(
% 59.37/10.04    ! [X0 : $tType] : size(list(X0))),
% 59.37/10.04    inference(rectify,[],[f9380])).
% 59.37/10.04  tff(f9380,axiom,(
% 59.37/10.04    ! [X271 : $tType] : size(list(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_List_Olist___Nat_Osize_250)).
% 59.37/10.04  tff(f68467,plain,(
% 59.37/10.04    spl2737_854),
% 59.37/10.04    inference(avatar_split_clause,[],[f35754,f68465])).
% 59.37/10.04  tff(f68465,plain,(
% 59.37/10.04    spl2737_854 <=> ! [X0 : $tType] : size(option(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_854])])).
% 59.37/10.04  tff(f35754,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (size(option(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9924])).
% 59.37/10.04  tff(f9924,plain,(
% 59.37/10.04    ! [X0 : $tType] : size(option(X0))),
% 59.37/10.04    inference(rectify,[],[f9529])).
% 59.37/10.04  tff(f9529,axiom,(
% 59.37/10.04    ! [X271 : $tType] : size(option(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Option_Ooption___Nat_Osize_377)).
% 59.37/10.04  tff(f68463,plain,(
% 59.37/10.04    spl2737_853),
% 59.37/10.04    inference(avatar_split_clause,[],[f35753,f68461])).
% 59.37/10.04  tff(f68461,plain,(
% 59.37/10.04    spl2737_853 <=> ! [X0 : $tType] : uminus(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_853])])).
% 59.37/10.04  tff(f35753,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (uminus(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9923])).
% 59.37/10.04  tff(f9923,plain,(
% 59.37/10.04    ! [X0 : $tType] : uminus(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9352])).
% 59.37/10.04  tff(f9352,axiom,(
% 59.37/10.04    ! [X271 : $tType] : uminus(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Groups_Ouminus_222)).
% 59.37/10.04  tff(f68459,plain,(
% 59.37/10.04    spl2737_852),
% 59.37/10.04    inference(avatar_split_clause,[],[f35752,f68457])).
% 59.37/10.04  tff(f68457,plain,(
% 59.37/10.04    spl2737_852 <=> ! [X0 : $tType] : condit1219197933456340205attice(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_852])])).
% 59.37/10.04  tff(f35752,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (condit1219197933456340205attice(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9922])).
% 59.37/10.04  tff(f9922,plain,(
% 59.37/10.04    ! [X0 : $tType] : condit1219197933456340205attice(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9333])).
% 59.37/10.04  tff(f9333,axiom,(
% 59.37/10.04    ! [X271 : $tType] : condit1219197933456340205attice(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_203)).
% 59.37/10.04  tff(f68455,plain,(
% 59.37/10.04    spl2737_851),
% 59.37/10.04    inference(avatar_split_clause,[],[f35751,f68453])).
% 59.37/10.04  tff(f68453,plain,(
% 59.37/10.04    spl2737_851 <=> ! [X0 : $tType] : condit1219197933456340205attice(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_851])])).
% 59.37/10.04  tff(f35751,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (condit1219197933456340205attice(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9921])).
% 59.37/10.04  tff(f9921,plain,(
% 59.37/10.04    ! [X0 : $tType] : condit1219197933456340205attice(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9513])).
% 59.37/10.04  tff(f9513,axiom,(
% 59.37/10.04    ! [X271 : $tType] : condit1219197933456340205attice(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_361)).
% 59.37/10.04  tff(f68451,plain,(
% 59.37/10.04    spl2737_850),
% 59.37/10.04    inference(avatar_split_clause,[],[f35750,f68449])).
% 59.37/10.04  tff(f68449,plain,(
% 59.37/10.04    spl2737_850 <=> ! [X0 : $tType] : order_bot(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_850])])).
% 59.37/10.04  tff(f35750,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (order_bot(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9920])).
% 59.37/10.04  tff(f9920,plain,(
% 59.37/10.04    ! [X0 : $tType] : order_bot(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9347])).
% 59.37/10.04  tff(f9347,axiom,(
% 59.37/10.04    ! [X271 : $tType] : order_bot(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder__bot_217)).
% 59.37/10.04  tff(f68447,plain,(
% 59.37/10.04    spl2737_849),
% 59.37/10.04    inference(avatar_split_clause,[],[f35749,f68445])).
% 59.37/10.04  tff(f68445,plain,(
% 59.37/10.04    spl2737_849 <=> ! [X0 : $tType] : order_bot(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_849])])).
% 59.37/10.04  tff(f35749,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (order_bot(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9919])).
% 59.37/10.04  tff(f9919,plain,(
% 59.37/10.04    ! [X0 : $tType] : order_bot(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9524])).
% 59.37/10.04  tff(f9524,axiom,(
% 59.37/10.04    ! [X271 : $tType] : order_bot(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder__bot_372)).
% 59.37/10.04  tff(f68443,plain,(
% 59.37/10.04    spl2737_848),
% 59.37/10.04    inference(avatar_split_clause,[],[f35748,f68441])).
% 59.37/10.04  tff(f68441,plain,(
% 59.37/10.04    spl2737_848 <=> ! [X0 : $tType] : comple6319245703460814977attice(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_848])])).
% 59.37/10.04  tff(f35748,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (comple6319245703460814977attice(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9918])).
% 59.37/10.04  tff(f9918,plain,(
% 59.37/10.04    ! [X0 : $tType] : comple6319245703460814977attice(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9339])).
% 59.37/10.04  tff(f9339,axiom,(
% 59.37/10.04    ! [X271 : $tType] : comple6319245703460814977attice(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Lattices_Ocomplete__lattice_209)).
% 59.37/10.04  tff(f68439,plain,(
% 59.37/10.04    spl2737_847),
% 59.37/10.04    inference(avatar_split_clause,[],[f35747,f68437])).
% 59.37/10.04  tff(f68437,plain,(
% 59.37/10.04    spl2737_847 <=> ! [X0 : $tType] : comple6319245703460814977attice(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_847])])).
% 59.37/10.04  tff(f35747,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (comple6319245703460814977attice(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9917])).
% 59.37/10.04  tff(f9917,plain,(
% 59.37/10.04    ! [X0 : $tType] : comple6319245703460814977attice(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9517])).
% 59.37/10.04  tff(f9517,axiom,(
% 59.37/10.04    ! [X271 : $tType] : comple6319245703460814977attice(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Complete__Lattices_Ocomplete__lattice_365)).
% 59.37/10.04  tff(f68435,plain,(
% 59.37/10.04    spl2737_846),
% 59.37/10.04    inference(avatar_split_clause,[],[f35746,f68433])).
% 59.37/10.04  tff(f68433,plain,(
% 59.37/10.04    spl2737_846 <=> ! [X0 : $tType] : bounde4967611905675639751up_bot(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_846])])).
% 59.37/10.04  tff(f35746,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounde4967611905675639751up_bot(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9916])).
% 59.37/10.04  tff(f9916,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounde4967611905675639751up_bot(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9337])).
% 59.37/10.04  tff(f9337,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounde4967611905675639751up_bot(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__semilattice__sup__bot_207)).
% 59.37/10.04  tff(f68431,plain,(
% 59.37/10.04    spl2737_845),
% 59.37/10.04    inference(avatar_split_clause,[],[f35745,f68429])).
% 59.37/10.04  tff(f68429,plain,(
% 59.37/10.04    spl2737_845 <=> ! [X0 : $tType] : bounde4967611905675639751up_bot(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_845])])).
% 59.37/10.04  tff(f35745,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounde4967611905675639751up_bot(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9915])).
% 59.37/10.04  tff(f9915,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounde4967611905675639751up_bot(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9515])).
% 59.37/10.04  tff(f9515,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounde4967611905675639751up_bot(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__semilattice__sup__bot_363)).
% 59.37/10.04  tff(f68427,plain,(
% 59.37/10.04    spl2737_844),
% 59.37/10.04    inference(avatar_split_clause,[],[f35744,f68425])).
% 59.37/10.04  tff(f68425,plain,(
% 59.37/10.04    spl2737_844 <=> ! [X0 : $tType] : bounde4346867609351753570nf_top(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_844])])).
% 59.37/10.04  tff(f35744,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounde4346867609351753570nf_top(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9914])).
% 59.37/10.04  tff(f9914,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounde4346867609351753570nf_top(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9338])).
% 59.37/10.04  tff(f9338,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounde4346867609351753570nf_top(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__semilattice__inf__top_208)).
% 59.37/10.04  tff(f68423,plain,(
% 59.37/10.04    spl2737_843),
% 59.37/10.04    inference(avatar_split_clause,[],[f35743,f68421])).
% 59.37/10.04  tff(f68421,plain,(
% 59.37/10.04    spl2737_843 <=> ! [X0 : $tType] : bounde4346867609351753570nf_top(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_843])])).
% 59.37/10.04  tff(f35743,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounde4346867609351753570nf_top(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9913])).
% 59.37/10.04  tff(f9913,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounde4346867609351753570nf_top(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9516])).
% 59.37/10.04  tff(f9516,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounde4346867609351753570nf_top(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__semilattice__inf__top_364)).
% 59.37/10.04  tff(f68419,plain,(
% 59.37/10.04    spl2737_842),
% 59.37/10.04    inference(avatar_split_clause,[],[f35742,f68417])).
% 59.37/10.04  tff(f68417,plain,(
% 59.37/10.04    spl2737_842 <=> ! [X0 : $tType] : order_top(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_842])])).
% 59.37/10.04  tff(f35742,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (order_top(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9912])).
% 59.37/10.04  tff(f9912,plain,(
% 59.37/10.04    ! [X0 : $tType] : order_top(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9346])).
% 59.37/10.04  tff(f9346,axiom,(
% 59.37/10.04    ! [X271 : $tType] : order_top(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder__top_216)).
% 59.37/10.04  tff(f68415,plain,(
% 59.37/10.04    spl2737_841),
% 59.37/10.04    inference(avatar_split_clause,[],[f35741,f68413])).
% 59.37/10.04  tff(f68413,plain,(
% 59.37/10.04    spl2737_841 <=> ! [X0 : $tType] : order_top(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_841])])).
% 59.37/10.04  tff(f35741,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (order_top(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9911])).
% 59.37/10.04  tff(f9911,plain,(
% 59.37/10.04    ! [X0 : $tType] : order_top(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9523])).
% 59.37/10.04  tff(f9523,axiom,(
% 59.37/10.04    ! [X271 : $tType] : order_top(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder__top_371)).
% 59.37/10.04  tff(f68411,plain,(
% 59.37/10.04    spl2737_840),
% 59.37/10.04    inference(avatar_split_clause,[],[f35740,f68409])).
% 59.37/10.04  tff(f68409,plain,(
% 59.37/10.04    spl2737_840 <=> ! [X0 : $tType] : counta3822494911875563373attice(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_840])])).
% 59.37/10.04  tff(f35740,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (counta3822494911875563373attice(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9910])).
% 59.37/10.04  tff(f9910,plain,(
% 59.37/10.04    ! [X0 : $tType] : counta3822494911875563373attice(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9334])).
% 59.37/10.04  tff(f9334,axiom,(
% 59.37/10.04    ! [X271 : $tType] : counta3822494911875563373attice(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Countable__Complete__Lattices_Ocountable__complete__lattice_204)).
% 59.37/10.04  tff(f68407,plain,(
% 59.37/10.04    spl2737_839),
% 59.37/10.04    inference(avatar_split_clause,[],[f35739,f68405])).
% 59.37/10.04  tff(f68405,plain,(
% 59.37/10.04    spl2737_839 <=> ! [X0 : $tType] : counta3822494911875563373attice(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_839])])).
% 59.37/10.04  tff(f35739,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (counta3822494911875563373attice(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9909])).
% 59.37/10.04  tff(f9909,plain,(
% 59.37/10.04    ! [X0 : $tType] : counta3822494911875563373attice(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9514])).
% 59.37/10.04  tff(f9514,axiom,(
% 59.37/10.04    ! [X271 : $tType] : counta3822494911875563373attice(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Countable__Complete__Lattices_Ocountable__complete__lattice_362)).
% 59.37/10.04  tff(f68403,plain,(
% 59.37/10.04    spl2737_838),
% 59.37/10.04    inference(avatar_split_clause,[],[f35738,f68401])).
% 59.37/10.04  tff(f68401,plain,(
% 59.37/10.04    spl2737_838 <=> ! [X0 : $tType] : bounded_lattice(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_838])])).
% 59.37/10.04  tff(f35738,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounded_lattice(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9908])).
% 59.37/10.04  tff(f9908,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounded_lattice(set(X0))),
% 59.37/10.04    inference(rectify,[],[f8983])).
% 59.37/10.04  tff(f8983,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounded_lattice(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__lattice_4)).
% 59.37/10.04  tff(f68399,plain,(
% 59.37/10.04    spl2737_837),
% 59.37/10.04    inference(avatar_split_clause,[],[f35737,f68397])).
% 59.37/10.04  tff(f68397,plain,(
% 59.37/10.04    spl2737_837 <=> ! [X0 : $tType] : bounded_lattice(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_837])])).
% 59.37/10.04  tff(f35737,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounded_lattice(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9907])).
% 59.37/10.04  tff(f9907,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounded_lattice(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f8981])).
% 59.37/10.04  tff(f8981,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounded_lattice(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__lattice_2)).
% 59.37/10.04  tff(f68395,plain,(
% 59.37/10.04    spl2737_836),
% 59.37/10.04    inference(avatar_split_clause,[],[f35736,f68393])).
% 59.37/10.04  tff(f68393,plain,(
% 59.37/10.04    spl2737_836 <=> ! [X0 : $tType] : bounded_lattice_bot(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_836])])).
% 59.37/10.04  tff(f35736,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounded_lattice_bot(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9906])).
% 59.37/10.04  tff(f9906,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounded_lattice_bot(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9342])).
% 59.37/10.04  tff(f9342,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounded_lattice_bot(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__lattice__bot_212)).
% 59.37/10.04  tff(f68391,plain,(
% 59.37/10.04    spl2737_835),
% 59.37/10.04    inference(avatar_split_clause,[],[f35735,f68389])).
% 59.37/10.04  tff(f68389,plain,(
% 59.37/10.04    spl2737_835 <=> ! [X0 : $tType] : bounded_lattice_top(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_835])])).
% 59.37/10.04  tff(f35735,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounded_lattice_top(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9905])).
% 59.37/10.04  tff(f9905,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounded_lattice_top(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9341])).
% 59.37/10.04  tff(f9341,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounded_lattice_top(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__lattice__top_211)).
% 59.37/10.04  tff(f68387,plain,(
% 59.37/10.04    spl2737_834),
% 59.37/10.04    inference(avatar_split_clause,[],[f35734,f68385])).
% 59.37/10.04  tff(f68385,plain,(
% 59.37/10.04    spl2737_834 <=> ! [X0 : $tType] : bounded_lattice_top(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_834])])).
% 59.37/10.04  tff(f35734,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounded_lattice_top(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9904])).
% 59.37/10.04  tff(f9904,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounded_lattice_top(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9518])).
% 59.37/10.04  tff(f9518,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounded_lattice_top(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__lattice__top_366)).
% 59.37/10.04  tff(f68383,plain,(
% 59.37/10.04    spl2737_833),
% 59.37/10.04    inference(avatar_split_clause,[],[f35733,f68381])).
% 59.37/10.04  tff(f68381,plain,(
% 59.37/10.04    spl2737_833 <=> ! [X0 : $tType] : bounded_lattice_bot(filter(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_833])])).
% 59.37/10.04  tff(f35733,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (bounded_lattice_bot(filter(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9903])).
% 59.37/10.04  tff(f9903,plain,(
% 59.37/10.04    ! [X0 : $tType] : bounded_lattice_bot(filter(X0))),
% 59.37/10.04    inference(rectify,[],[f9519])).
% 59.37/10.04  tff(f9519,axiom,(
% 59.37/10.04    ! [X271 : $tType] : bounded_lattice_bot(filter(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__lattice__bot_367)).
% 59.37/10.04  tff(f68379,plain,(
% 59.37/10.04    spl2737_832),
% 59.37/10.04    inference(avatar_split_clause,[],[f35732,f68377])).
% 59.37/10.04  tff(f68377,plain,(
% 59.37/10.04    spl2737_832 <=> ! [X0 : $tType] : comple592849572758109894attice(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_832])])).
% 59.37/10.04  tff(f35732,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (comple592849572758109894attice(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9902])).
% 59.37/10.04  tff(f9902,plain,(
% 59.37/10.04    ! [X0 : $tType] : comple592849572758109894attice(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9335])).
% 59.37/10.04  tff(f9335,axiom,(
% 59.37/10.04    ! [X271 : $tType] : comple592849572758109894attice(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Lattices_Ocomplete__distrib__lattice_205)).
% 59.37/10.04  tff(f68375,plain,(
% 59.37/10.04    spl2737_831),
% 59.37/10.04    inference(avatar_split_clause,[],[f35731,f68373])).
% 59.37/10.04  tff(f68373,plain,(
% 59.37/10.04    spl2737_831 <=> ! [X0 : $tType] : boolea8198339166811842893lgebra(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_831])])).
% 59.37/10.04  tff(f35731,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (boolea8198339166811842893lgebra(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9901])).
% 59.37/10.04  tff(f9901,plain,(
% 59.37/10.04    ! [X0 : $tType] : boolea8198339166811842893lgebra(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9340])).
% 59.37/10.04  tff(f9340,axiom,(
% 59.37/10.04    ! [X271 : $tType] : boolea8198339166811842893lgebra(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Boolean__Algebras_Oboolean__algebra_210)).
% 59.37/10.04  tff(f68371,plain,(
% 59.37/10.04    spl2737_830),
% 59.37/10.04    inference(avatar_split_clause,[],[f35730,f68369])).
% 59.37/10.04  tff(f68369,plain,(
% 59.37/10.04    spl2737_830 <=> ! [X0 : $tType] : comple489889107523837845lgebra(set(X0))),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_830])])).
% 59.37/10.04  tff(f35730,plain,(
% 59.37/10.04    ( ! [X0 : $tType] : (comple489889107523837845lgebra(set(X0))) )),
% 59.37/10.04    inference(cnf_transformation,[],[f9900])).
% 59.37/10.04  tff(f9900,plain,(
% 59.37/10.04    ! [X0 : $tType] : comple489889107523837845lgebra(set(X0))),
% 59.37/10.04    inference(rectify,[],[f9336])).
% 59.37/10.04  tff(f9336,axiom,(
% 59.37/10.04    ! [X271 : $tType] : comple489889107523837845lgebra(set(X271))),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Lattices_Ocomplete__boolean__algebra_206)).
% 59.37/10.04  tff(f68367,plain,(
% 59.37/10.04    spl2737_829),
% 59.37/10.04    inference(avatar_split_clause,[],[f35384,f68364])).
% 59.37/10.04  tff(f35384,plain,(
% 59.37/10.04    vEBT_invar_vebt(summary,m)),
% 59.37/10.04    inference(cnf_transformation,[],[f86])).
% 59.37/10.04  tff(f86,axiom,(
% 59.37/10.04    vEBT_invar_vebt(summary,m)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85__C3_Ohyps_C_I1_J)).
% 59.37/10.04  tff(f68362,plain,(
% 59.37/10.04    spl2737_828),
% 59.37/10.04    inference(avatar_split_clause,[],[f35383,f68359])).
% 59.37/10.04  tff(f35383,plain,(
% 59.37/10.04    pp(fTrue)),
% 59.37/10.04    inference(cnf_transformation,[],[f9881])).
% 59.37/10.04  tff(f9881,axiom,(
% 59.37/10.04    pp(fTrue)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U)).
% 59.37/10.04  tff(f68357,plain,(
% 59.37/10.04    spl2737_827),
% 59.37/10.04    inference(avatar_split_clause,[],[f35382,f68354])).
% 59.37/10.04  tff(f68354,plain,(
% 59.37/10.04    spl2737_827 <=> order(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_827])])).
% 59.37/10.04  tff(f35382,plain,(
% 59.37/10.04    order(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9216])).
% 59.37/10.04  tff(f9216,axiom,(
% 59.37/10.04    order(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder_98)).
% 59.37/10.04  tff(f68352,plain,(
% 59.37/10.04    spl2737_826),
% 59.37/10.04    inference(avatar_split_clause,[],[f35381,f68349])).
% 59.37/10.04  tff(f68349,plain,(
% 59.37/10.04    spl2737_826 <=> order(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_826])])).
% 59.37/10.04  tff(f35381,plain,(
% 59.37/10.04    order(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9376])).
% 59.37/10.04  tff(f9376,axiom,(
% 59.37/10.04    order(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder_246)).
% 59.37/10.04  tff(f68347,plain,(
% 59.37/10.04    spl2737_825),
% 59.37/10.04    inference(avatar_split_clause,[],[f35380,f68344])).
% 59.37/10.04  tff(f68344,plain,(
% 59.37/10.04    spl2737_825 <=> order(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_825])])).
% 59.37/10.04  tff(f35380,plain,(
% 59.37/10.04    order(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9111])).
% 59.37/10.04  tff(f9111,axiom,(
% 59.37/10.04    order(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oorder_12)).
% 59.37/10.04  tff(f68342,plain,(
% 59.37/10.04    spl2737_824),
% 59.37/10.04    inference(avatar_split_clause,[],[f35379,f68339])).
% 59.37/10.04  tff(f68339,plain,(
% 59.37/10.04    spl2737_824 <=> order(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_824])])).
% 59.37/10.04  tff(f35379,plain,(
% 59.37/10.04    order(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9491])).
% 59.37/10.04  tff(f9491,axiom,(
% 59.37/10.04    order(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oorder_339)).
% 59.37/10.04  tff(f68337,plain,(
% 59.37/10.04    spl2737_823),
% 59.37/10.04    inference(avatar_split_clause,[],[f35378,f68334])).
% 59.37/10.04  tff(f68334,plain,(
% 59.37/10.04    spl2737_823 <=> order(num)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_823])])).
% 59.37/10.04  tff(f35378,plain,(
% 59.37/10.04    order(num)),
% 59.37/10.04    inference(cnf_transformation,[],[f9230])).
% 59.37/10.04  tff(f9230,axiom,(
% 59.37/10.04    order(num)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oorder_111)).
% 59.37/10.04  tff(f68332,plain,(
% 59.37/10.04    spl2737_822),
% 59.37/10.04    inference(avatar_split_clause,[],[f35377,f68329])).
% 59.37/10.04  tff(f68329,plain,(
% 59.37/10.04    spl2737_822 <=> order(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_822])])).
% 59.37/10.04  tff(f35377,plain,(
% 59.37/10.04    order(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9313])).
% 59.37/10.04  tff(f9313,axiom,(
% 59.37/10.04    order(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oorder_185)).
% 59.37/10.04  tff(f68327,plain,(
% 59.37/10.04    spl2737_821),
% 59.37/10.04    inference(avatar_split_clause,[],[f35376,f68324])).
% 59.37/10.04  tff(f68324,plain,(
% 59.37/10.04    spl2737_821 <=> order(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_821])])).
% 59.37/10.04  tff(f35376,plain,(
% 59.37/10.04    order(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9783])).
% 59.37/10.04  tff(f9783,axiom,(
% 59.37/10.04    order(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oorder_630)).
% 59.37/10.04  tff(f68322,plain,(
% 59.37/10.04    spl2737_820),
% 59.37/10.04    inference(avatar_split_clause,[],[f35375,f68319])).
% 59.37/10.04  tff(f68319,plain,(
% 59.37/10.04    spl2737_820 <=> order(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_820])])).
% 59.37/10.04  tff(f35375,plain,(
% 59.37/10.04    order(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9859])).
% 59.37/10.04  tff(f9859,axiom,(
% 59.37/10.04    order(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Orderings_Oorder_706)).
% 59.37/10.04  tff(f68317,plain,(
% 59.37/10.04    spl2737_819),
% 59.37/10.04    inference(avatar_split_clause,[],[f35374,f68314])).
% 59.37/10.04  tff(f68314,plain,(
% 59.37/10.04    spl2737_819 <=> order(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_819])])).
% 59.37/10.04  tff(f35374,plain,(
% 59.37/10.04    order(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9663])).
% 59.37/10.04  tff(f9663,axiom,(
% 59.37/10.04    order(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder_510)).
% 59.37/10.04  tff(f68312,plain,(
% 59.37/10.04    spl2737_818),
% 59.37/10.04    inference(avatar_split_clause,[],[f35373,f68309])).
% 59.37/10.04  tff(f68309,plain,(
% 59.37/10.04    spl2737_818 <=> order(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_818])])).
% 59.37/10.04  tff(f35373,plain,(
% 59.37/10.04    order(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9697])).
% 59.37/10.04  tff(f9697,axiom,(
% 59.37/10.04    order(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder_544)).
% 59.37/10.04  tff(f68307,plain,(
% 59.37/10.04    spl2737_817),
% 59.37/10.04    inference(avatar_split_clause,[],[f35372,f68304])).
% 59.37/10.04  tff(f68304,plain,(
% 59.37/10.04    spl2737_817 <=> order(literal)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_817])])).
% 59.37/10.04  tff(f35372,plain,(
% 59.37/10.04    order(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9534])).
% 59.37/10.04  tff(f9534,axiom,(
% 59.37/10.04    order(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Oorder_382)).
% 59.37/10.04  tff(f68302,plain,(
% 59.37/10.04    spl2737_816),
% 59.37/10.04    inference(avatar_split_clause,[],[f35371,f68299])).
% 59.37/10.04  tff(f35371,plain,(
% 59.37/10.04    ord(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9219])).
% 59.37/10.04  tff(f9219,axiom,(
% 59.37/10.04    ord(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oord_101)).
% 59.37/10.04  tff(f68297,plain,(
% 59.37/10.04    spl2737_815),
% 59.37/10.04    inference(avatar_split_clause,[],[f35370,f68294])).
% 59.37/10.04  tff(f35370,plain,(
% 59.37/10.04    ord(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9377])).
% 59.37/10.04  tff(f9377,axiom,(
% 59.37/10.04    ord(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oord_247)).
% 59.37/10.04  tff(f68292,plain,(
% 59.37/10.04    spl2737_814),
% 59.37/10.04    inference(avatar_split_clause,[],[f35369,f68289])).
% 59.37/10.04  tff(f35369,plain,(
% 59.37/10.04    ord(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9116])).
% 59.37/10.04  tff(f9116,axiom,(
% 59.37/10.04    ord(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oord_13)).
% 59.37/10.04  tff(f68287,plain,(
% 59.37/10.04    spl2737_813),
% 59.37/10.04    inference(avatar_split_clause,[],[f35368,f68284])).
% 59.37/10.04  tff(f35368,plain,(
% 59.37/10.04    ord(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9497])).
% 59.37/10.04  tff(f9497,axiom,(
% 59.37/10.04    ord(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oord_345)).
% 59.37/10.04  tff(f68282,plain,(
% 59.37/10.04    spl2737_812),
% 59.37/10.04    inference(avatar_split_clause,[],[f35367,f68279])).
% 59.37/10.04  tff(f35367,plain,(
% 59.37/10.04    ord(num)),
% 59.37/10.04    inference(cnf_transformation,[],[f9231])).
% 59.37/10.04  tff(f9231,axiom,(
% 59.37/10.04    ord(num)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oord_112)).
% 59.37/10.04  tff(f68277,plain,(
% 59.37/10.04    spl2737_811),
% 59.37/10.04    inference(avatar_split_clause,[],[f35366,f68274])).
% 59.37/10.04  tff(f35366,plain,(
% 59.37/10.04    ord(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9319])).
% 59.37/10.04  tff(f9319,axiom,(
% 59.37/10.04    ord(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oord_190)).
% 59.37/10.04  tff(f68272,plain,(
% 59.37/10.04    spl2737_810),
% 59.37/10.04    inference(avatar_split_clause,[],[f35365,f68269])).
% 59.37/10.04  tff(f35365,plain,(
% 59.37/10.04    ord(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9788])).
% 59.37/10.04  tff(f9788,axiom,(
% 59.37/10.04    ord(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oord_635)).
% 59.37/10.04  tff(f68267,plain,(
% 59.37/10.04    spl2737_809),
% 59.37/10.04    inference(avatar_split_clause,[],[f35364,f68264])).
% 59.37/10.04  tff(f35364,plain,(
% 59.37/10.04    ord(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9862])).
% 59.37/10.04  tff(f9862,axiom,(
% 59.37/10.04    ord(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Orderings_Oord_709)).
% 59.37/10.04  tff(f68262,plain,(
% 59.37/10.04    spl2737_808),
% 59.37/10.04    inference(avatar_split_clause,[],[f35363,f68259])).
% 59.37/10.04  tff(f35363,plain,(
% 59.37/10.04    ord(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9665])).
% 59.37/10.04  tff(f9665,axiom,(
% 59.37/10.04    ord(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oord_512)).
% 59.37/10.04  tff(f68257,plain,(
% 59.37/10.04    spl2737_807),
% 59.37/10.04    inference(avatar_split_clause,[],[f35362,f68254])).
% 59.37/10.04  tff(f35362,plain,(
% 59.37/10.04    ord(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9698])).
% 59.37/10.04  tff(f9698,axiom,(
% 59.37/10.04    ord(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oord_545)).
% 59.37/10.04  tff(f68252,plain,(
% 59.37/10.04    spl2737_806),
% 59.37/10.04    inference(avatar_split_clause,[],[f35361,f68249])).
% 59.37/10.04  tff(f35361,plain,(
% 59.37/10.04    ord(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9535])).
% 59.37/10.04  tff(f9535,axiom,(
% 59.37/10.04    ord(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Oord_383)).
% 59.37/10.04  tff(f68247,plain,(
% 59.37/10.04    spl2737_805),
% 59.37/10.04    inference(avatar_split_clause,[],[f35360,f68244])).
% 59.37/10.04  tff(f35360,plain,(
% 59.37/10.04    preorder(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9205])).
% 59.37/10.04  tff(f9205,axiom,(
% 59.37/10.04    preorder(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Opreorder_87)).
% 59.37/10.04  tff(f68242,plain,(
% 59.37/10.04    spl2737_804),
% 59.37/10.04    inference(avatar_split_clause,[],[f35359,f68239])).
% 59.37/10.04  tff(f35359,plain,(
% 59.37/10.04    preorder(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9373])).
% 59.37/10.04  tff(f9373,axiom,(
% 59.37/10.04    preorder(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Opreorder_243)).
% 59.37/10.04  tff(f68237,plain,(
% 59.37/10.04    spl2737_803),
% 59.37/10.04    inference(avatar_split_clause,[],[f35358,f68234])).
% 59.37/10.04  tff(f35358,plain,(
% 59.37/10.04    preorder(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9094])).
% 59.37/10.04  tff(f9094,axiom,(
% 59.37/10.04    preorder(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Opreorder_10)).
% 59.37/10.04  tff(f68232,plain,(
% 59.37/10.04    spl2737_802),
% 59.37/10.04    inference(avatar_split_clause,[],[f35357,f68229])).
% 59.37/10.04  tff(f35357,plain,(
% 59.37/10.04    preorder(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9476])).
% 59.37/10.04  tff(f9476,axiom,(
% 59.37/10.04    preorder(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Opreorder_325)).
% 59.37/10.04  tff(f68227,plain,(
% 59.37/10.04    spl2737_801),
% 59.37/10.04    inference(avatar_split_clause,[],[f35356,f68224])).
% 59.37/10.04  tff(f35356,plain,(
% 59.37/10.04    preorder(num)),
% 59.37/10.04    inference(cnf_transformation,[],[f9228])).
% 59.37/10.04  tff(f9228,axiom,(
% 59.37/10.04    preorder(num)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Opreorder_109)).
% 59.37/10.04  tff(f68222,plain,(
% 59.37/10.04    spl2737_800),
% 59.37/10.04    inference(avatar_split_clause,[],[f35355,f68219])).
% 59.37/10.04  tff(f35355,plain,(
% 59.37/10.04    preorder(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9299])).
% 59.37/10.04  tff(f9299,axiom,(
% 59.37/10.04    preorder(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Opreorder_171)).
% 59.37/10.04  tff(f68217,plain,(
% 59.37/10.04    spl2737_799),
% 59.37/10.04    inference(avatar_split_clause,[],[f35354,f68214])).
% 59.37/10.04  tff(f35354,plain,(
% 59.37/10.04    preorder(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9771])).
% 59.37/10.04  tff(f9771,axiom,(
% 59.37/10.04    preorder(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Opreorder_618)).
% 59.37/10.04  tff(f68212,plain,(
% 59.37/10.04    spl2737_798),
% 59.37/10.04    inference(avatar_split_clause,[],[f35353,f68209])).
% 59.37/10.04  tff(f35353,plain,(
% 59.37/10.04    preorder(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9852])).
% 59.37/10.04  tff(f9852,axiom,(
% 59.37/10.04    preorder(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Orderings_Opreorder_699)).
% 59.37/10.04  tff(f68207,plain,(
% 59.37/10.04    spl2737_797),
% 59.37/10.04    inference(avatar_split_clause,[],[f35352,f68204])).
% 59.37/10.04  tff(f35352,plain,(
% 59.37/10.04    preorder(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9655])).
% 59.37/10.04  tff(f9655,axiom,(
% 59.37/10.04    preorder(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Opreorder_502)).
% 59.37/10.04  tff(f68202,plain,(
% 59.37/10.04    spl2737_796),
% 59.37/10.04    inference(avatar_split_clause,[],[f35351,f68199])).
% 59.37/10.04  tff(f35351,plain,(
% 59.37/10.04    preorder(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9694])).
% 59.37/10.04  tff(f9694,axiom,(
% 59.37/10.04    preorder(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Opreorder_541)).
% 59.37/10.04  tff(f68197,plain,(
% 59.37/10.04    spl2737_795),
% 59.37/10.04    inference(avatar_split_clause,[],[f35350,f68194])).
% 59.37/10.04  tff(f35350,plain,(
% 59.37/10.04    preorder(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9531])).
% 59.37/10.04  tff(f9531,axiom,(
% 59.37/10.04    preorder(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Opreorder_379)).
% 59.37/10.04  tff(f68192,plain,(
% 59.37/10.04    spl2737_794),
% 59.37/10.04    inference(avatar_split_clause,[],[f35349,f68189])).
% 59.37/10.04  tff(f68189,plain,(
% 59.37/10.04    spl2737_794 <=> minus(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_794])])).
% 59.37/10.04  tff(f35349,plain,(
% 59.37/10.04    minus(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9220])).
% 59.37/10.04  tff(f9220,axiom,(
% 59.37/10.04    minus(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ominus_102)).
% 59.37/10.04  tff(f68187,plain,(
% 59.37/10.04    spl2737_793),
% 59.37/10.04    inference(avatar_split_clause,[],[f35348,f68184])).
% 59.37/10.04  tff(f68184,plain,(
% 59.37/10.04    spl2737_793 <=> minus(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_793])])).
% 59.37/10.04  tff(f35348,plain,(
% 59.37/10.04    minus(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9379])).
% 59.37/10.04  tff(f9379,axiom,(
% 59.37/10.04    minus(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ominus_249)).
% 59.37/10.04  tff(f68182,plain,(
% 59.37/10.04    spl2737_792),
% 59.37/10.04    inference(avatar_split_clause,[],[f35347,f68179])).
% 59.37/10.04  tff(f68179,plain,(
% 59.37/10.04    spl2737_792 <=> minus(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_792])])).
% 59.37/10.04  tff(f35347,plain,(
% 59.37/10.04    minus(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9120])).
% 59.37/10.04  tff(f9120,axiom,(
% 59.37/10.04    minus(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ominus_15)).
% 59.37/10.04  tff(f68177,plain,(
% 59.37/10.04    spl2737_791),
% 59.37/10.04    inference(avatar_split_clause,[],[f35346,f68174])).
% 59.37/10.04  tff(f68174,plain,(
% 59.37/10.04    spl2737_791 <=> minus(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_791])])).
% 59.37/10.04  tff(f35346,plain,(
% 59.37/10.04    minus(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9501])).
% 59.37/10.04  tff(f9501,axiom,(
% 59.37/10.04    minus(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ominus_349)).
% 59.37/10.04  tff(f68172,plain,(
% 59.37/10.04    spl2737_790),
% 59.37/10.04    inference(avatar_split_clause,[],[f35345,f68169])).
% 59.37/10.04  tff(f68169,plain,(
% 59.37/10.04    spl2737_790 <=> minus(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_790])])).
% 59.37/10.04  tff(f35345,plain,(
% 59.37/10.04    minus(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9323])).
% 59.37/10.04  tff(f9323,axiom,(
% 59.37/10.04    minus(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ominus_194)).
% 59.37/10.04  tff(f68167,plain,(
% 59.37/10.04    spl2737_789),
% 59.37/10.04    inference(avatar_split_clause,[],[f35344,f68164])).
% 59.37/10.04  tff(f68164,plain,(
% 59.37/10.04    spl2737_789 <=> minus(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_789])])).
% 59.37/10.04  tff(f35344,plain,(
% 59.37/10.04    minus(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9792])).
% 59.37/10.04  tff(f9792,axiom,(
% 59.37/10.04    minus(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ominus_639)).
% 59.37/10.04  tff(f68162,plain,(
% 59.37/10.04    spl2737_788),
% 59.37/10.04    inference(avatar_split_clause,[],[f35343,f68159])).
% 59.37/10.04  tff(f68159,plain,(
% 59.37/10.04    spl2737_788 <=> minus(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_788])])).
% 59.37/10.04  tff(f35343,plain,(
% 59.37/10.04    minus(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9863])).
% 59.37/10.04  tff(f9863,axiom,(
% 59.37/10.04    minus(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ominus_710)).
% 59.37/10.04  tff(f68157,plain,(
% 59.37/10.04    spl2737_787),
% 59.37/10.04    inference(avatar_split_clause,[],[f35342,f68154])).
% 59.37/10.04  tff(f68154,plain,(
% 59.37/10.04    spl2737_787 <=> minus(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_787])])).
% 59.37/10.04  tff(f35342,plain,(
% 59.37/10.04    minus(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9606])).
% 59.37/10.04  tff(f9606,axiom,(
% 59.37/10.04    minus(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ominus_454)).
% 59.37/10.04  tff(f68152,plain,(
% 59.37/10.04    spl2737_786),
% 59.37/10.04    inference(avatar_split_clause,[],[f35341,f68149])).
% 59.37/10.04  tff(f68149,plain,(
% 59.37/10.04    spl2737_786 <=> minus(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_786])])).
% 59.37/10.04  tff(f35341,plain,(
% 59.37/10.04    minus(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9666])).
% 59.37/10.04  tff(f9666,axiom,(
% 59.37/10.04    minus(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ominus_513)).
% 59.37/10.04  tff(f68147,plain,(
% 59.37/10.04    spl2737_785),
% 59.37/10.04    inference(avatar_split_clause,[],[f35340,f68144])).
% 59.37/10.04  tff(f68144,plain,(
% 59.37/10.04    spl2737_785 <=> minus(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_785])])).
% 59.37/10.04  tff(f35340,plain,(
% 59.37/10.04    minus(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9700])).
% 59.37/10.04  tff(f9700,axiom,(
% 59.37/10.04    minus(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ominus_547)).
% 59.37/10.04  tff(f68142,plain,(
% 59.37/10.04    spl2737_784),
% 59.37/10.04    inference(avatar_split_clause,[],[f35339,f68139])).
% 59.37/10.04  tff(f35339,plain,(
% 59.37/10.04    linorder(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9206])).
% 59.37/10.04  tff(f9206,axiom,(
% 59.37/10.04    linorder(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Olinorder_88)).
% 59.37/10.04  tff(f68137,plain,(
% 59.37/10.04    spl2737_783),
% 59.37/10.04    inference(avatar_split_clause,[],[f35338,f68134])).
% 59.37/10.04  tff(f35338,plain,(
% 59.37/10.04    linorder(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9374])).
% 59.37/10.04  tff(f9374,axiom,(
% 59.37/10.04    linorder(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Olinorder_244)).
% 59.37/10.04  tff(f68132,plain,(
% 59.37/10.04    spl2737_782),
% 59.37/10.04    inference(avatar_split_clause,[],[f35337,f68129])).
% 59.37/10.04  tff(f35337,plain,(
% 59.37/10.04    linorder(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9095])).
% 59.37/10.04  tff(f9095,axiom,(
% 59.37/10.04    linorder(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Olinorder)).
% 59.37/10.04  tff(f68127,plain,(
% 59.37/10.04    spl2737_781),
% 59.37/10.04    inference(avatar_split_clause,[],[f35336,f68124])).
% 59.37/10.04  tff(f35336,plain,(
% 59.37/10.04    linorder(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9477])).
% 59.37/10.04  tff(f9477,axiom,(
% 59.37/10.04    linorder(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Olinorder_326)).
% 59.37/10.04  tff(f68122,plain,(
% 59.37/10.04    spl2737_780),
% 59.37/10.04    inference(avatar_split_clause,[],[f35335,f68119])).
% 59.37/10.04  tff(f35335,plain,(
% 59.37/10.04    linorder(num)),
% 59.37/10.04    inference(cnf_transformation,[],[f9229])).
% 59.37/10.04  tff(f9229,axiom,(
% 59.37/10.04    linorder(num)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Olinorder_110)).
% 59.37/10.04  tff(f68117,plain,(
% 59.37/10.04    spl2737_779),
% 59.37/10.04    inference(avatar_split_clause,[],[f35334,f68114])).
% 59.37/10.04  tff(f35334,plain,(
% 59.37/10.04    linorder(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9300])).
% 59.37/10.04  tff(f9300,axiom,(
% 59.37/10.04    linorder(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Olinorder_172)).
% 59.37/10.04  tff(f68112,plain,(
% 59.37/10.04    spl2737_778),
% 59.37/10.04    inference(avatar_split_clause,[],[f35333,f68109])).
% 59.37/10.04  tff(f35333,plain,(
% 59.37/10.04    linorder(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9772])).
% 59.37/10.04  tff(f9772,axiom,(
% 59.37/10.04    linorder(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Olinorder_619)).
% 59.37/10.04  tff(f68107,plain,(
% 59.37/10.04    spl2737_777),
% 59.37/10.04    inference(avatar_split_clause,[],[f35332,f68104])).
% 59.37/10.04  tff(f35332,plain,(
% 59.37/10.04    linorder(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9853])).
% 59.37/10.04  tff(f9853,axiom,(
% 59.37/10.04    linorder(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Orderings_Olinorder_700)).
% 59.37/10.04  tff(f68102,plain,(
% 59.37/10.04    spl2737_776),
% 59.37/10.04    inference(avatar_split_clause,[],[f35331,f68099])).
% 59.37/10.04  tff(f35331,plain,(
% 59.37/10.04    linorder(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9656])).
% 59.37/10.04  tff(f9656,axiom,(
% 59.37/10.04    linorder(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Olinorder_503)).
% 59.37/10.04  tff(f68097,plain,(
% 59.37/10.04    spl2737_775),
% 59.37/10.04    inference(avatar_split_clause,[],[f35330,f68094])).
% 59.37/10.04  tff(f35330,plain,(
% 59.37/10.04    linorder(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9695])).
% 59.37/10.04  tff(f9695,axiom,(
% 59.37/10.04    linorder(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Olinorder_542)).
% 59.37/10.04  tff(f68092,plain,(
% 59.37/10.04    spl2737_774),
% 59.37/10.04    inference(avatar_split_clause,[],[f35329,f68089])).
% 59.37/10.04  tff(f35329,plain,(
% 59.37/10.04    linorder(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9532])).
% 59.37/10.04  tff(f9532,axiom,(
% 59.37/10.04    linorder(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Olinorder_380)).
% 59.37/10.04  tff(f68087,plain,(
% 59.37/10.04    spl2737_773),
% 59.37/10.04    inference(avatar_split_clause,[],[f35328,f68084])).
% 59.37/10.04  tff(f68084,plain,(
% 59.37/10.04    spl2737_773 <=> semilattice_sup(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_773])])).
% 59.37/10.04  tff(f35328,plain,(
% 59.37/10.04    semilattice_sup(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9179])).
% 59.37/10.04  tff(f9179,axiom,(
% 59.37/10.04    semilattice_sup(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__sup_63)).
% 59.37/10.04  tff(f68082,plain,(
% 59.37/10.04    spl2737_772),
% 59.37/10.04    inference(avatar_split_clause,[],[f35327,f68079])).
% 59.37/10.04  tff(f68079,plain,(
% 59.37/10.04    spl2737_772 <=> semilattice_sup(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_772])])).
% 59.37/10.04  tff(f35327,plain,(
% 59.37/10.04    semilattice_sup(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9368])).
% 59.37/10.04  tff(f9368,axiom,(
% 59.37/10.04    semilattice_sup(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__sup_238)).
% 59.37/10.04  tff(f68077,plain,(
% 59.37/10.04    spl2737_771),
% 59.37/10.04    inference(avatar_split_clause,[],[f35326,f68074])).
% 59.37/10.04  tff(f68074,plain,(
% 59.37/10.04    spl2737_771 <=> semilattice_sup(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_771])])).
% 59.37/10.04  tff(f35326,plain,(
% 59.37/10.04    semilattice_sup(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9064])).
% 59.37/10.04  tff(f9064,axiom,(
% 59.37/10.04    semilattice_sup(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__sup_7)).
% 59.37/10.04  tff(f68072,plain,(
% 59.37/10.04    spl2737_770),
% 59.37/10.04    inference(avatar_split_clause,[],[f35325,f68069])).
% 59.37/10.04  tff(f68069,plain,(
% 59.37/10.04    spl2737_770 <=> semilattice_sup(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_770])])).
% 59.37/10.04  tff(f35325,plain,(
% 59.37/10.04    semilattice_sup(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9446])).
% 59.37/10.04  tff(f9446,axiom,(
% 59.37/10.04    semilattice_sup(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__sup_295)).
% 59.37/10.04  tff(f68067,plain,(
% 59.37/10.04    spl2737_769),
% 59.37/10.04    inference(avatar_split_clause,[],[f35324,f68064])).
% 59.37/10.04  tff(f68064,plain,(
% 59.37/10.04    spl2737_769 <=> semilattice_sup(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_769])])).
% 59.37/10.04  tff(f35324,plain,(
% 59.37/10.04    semilattice_sup(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9269])).
% 59.37/10.04  tff(f9269,axiom,(
% 59.37/10.04    semilattice_sup(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__sup_146)).
% 59.37/10.04  tff(f68062,plain,(
% 59.37/10.04    spl2737_768),
% 59.37/10.04    inference(avatar_split_clause,[],[f35323,f68059])).
% 59.37/10.04  tff(f68059,plain,(
% 59.37/10.04    spl2737_768 <=> semilattice_sup(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_768])])).
% 59.37/10.04  tff(f35323,plain,(
% 59.37/10.04    semilattice_sup(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9635])).
% 59.37/10.04  tff(f9635,axiom,(
% 59.37/10.04    semilattice_sup(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__sup_482)).
% 59.37/10.04  tff(f68057,plain,(
% 59.37/10.04    spl2737_767),
% 59.37/10.04    inference(avatar_split_clause,[],[f35322,f68054])).
% 59.37/10.04  tff(f68054,plain,(
% 59.37/10.04    spl2737_767 <=> semilattice_sup(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_767])])).
% 59.37/10.04  tff(f35322,plain,(
% 59.37/10.04    semilattice_sup(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9688])).
% 59.37/10.04  tff(f9688,axiom,(
% 59.37/10.04    semilattice_sup(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__sup_535)).
% 59.37/10.04  tff(f68052,plain,(
% 59.37/10.04    spl2737_766),
% 59.37/10.04    inference(avatar_split_clause,[],[f35321,f68049])).
% 59.37/10.04  tff(f68049,plain,(
% 59.37/10.04    spl2737_766 <=> semilattice_inf(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_766])])).
% 59.37/10.04  tff(f35321,plain,(
% 59.37/10.04    semilattice_inf(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9180])).
% 59.37/10.04  tff(f9180,axiom,(
% 59.37/10.04    semilattice_inf(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__inf_64)).
% 59.37/10.04  tff(f68047,plain,(
% 59.37/10.04    spl2737_765),
% 59.37/10.04    inference(avatar_split_clause,[],[f35320,f68044])).
% 59.37/10.04  tff(f68044,plain,(
% 59.37/10.04    spl2737_765 <=> semilattice_inf(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_765])])).
% 59.37/10.04  tff(f35320,plain,(
% 59.37/10.04    semilattice_inf(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9369])).
% 59.37/10.04  tff(f9369,axiom,(
% 59.37/10.04    semilattice_inf(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__inf_239)).
% 59.37/10.04  tff(f68042,plain,(
% 59.37/10.04    spl2737_764),
% 59.37/10.04    inference(avatar_split_clause,[],[f35319,f68039])).
% 59.37/10.04  tff(f68039,plain,(
% 59.37/10.04    spl2737_764 <=> semilattice_inf(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_764])])).
% 59.37/10.04  tff(f35319,plain,(
% 59.37/10.04    semilattice_inf(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9065])).
% 59.37/10.04  tff(f9065,axiom,(
% 59.37/10.04    semilattice_inf(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__inf_8)).
% 59.37/10.04  tff(f68037,plain,(
% 59.37/10.04    spl2737_763),
% 59.37/10.04    inference(avatar_split_clause,[],[f35318,f68034])).
% 59.37/10.04  tff(f68034,plain,(
% 59.37/10.04    spl2737_763 <=> semilattice_inf(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_763])])).
% 59.37/10.04  tff(f35318,plain,(
% 59.37/10.04    semilattice_inf(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9447])).
% 59.37/10.04  tff(f9447,axiom,(
% 59.37/10.04    semilattice_inf(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__inf_296)).
% 59.37/10.04  tff(f68032,plain,(
% 59.37/10.04    spl2737_762),
% 59.37/10.04    inference(avatar_split_clause,[],[f35317,f68029])).
% 59.37/10.04  tff(f68029,plain,(
% 59.37/10.04    spl2737_762 <=> semilattice_inf(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_762])])).
% 59.37/10.04  tff(f35317,plain,(
% 59.37/10.04    semilattice_inf(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9270])).
% 59.37/10.04  tff(f9270,axiom,(
% 59.37/10.04    semilattice_inf(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__inf_147)).
% 59.37/10.04  tff(f68027,plain,(
% 59.37/10.04    spl2737_761),
% 59.37/10.04    inference(avatar_split_clause,[],[f35316,f68024])).
% 59.37/10.04  tff(f68024,plain,(
% 59.37/10.04    spl2737_761 <=> semilattice_inf(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_761])])).
% 59.37/10.04  tff(f35316,plain,(
% 59.37/10.04    semilattice_inf(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9636])).
% 59.37/10.04  tff(f9636,axiom,(
% 59.37/10.04    semilattice_inf(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__inf_483)).
% 59.37/10.04  tff(f68022,plain,(
% 59.37/10.04    spl2737_760),
% 59.37/10.04    inference(avatar_split_clause,[],[f35315,f68019])).
% 59.37/10.04  tff(f68019,plain,(
% 59.37/10.04    spl2737_760 <=> semilattice_inf(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_760])])).
% 59.37/10.04  tff(f35315,plain,(
% 59.37/10.04    semilattice_inf(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9689])).
% 59.37/10.04  tff(f9689,axiom,(
% 59.37/10.04    semilattice_inf(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__inf_536)).
% 59.37/10.04  tff(f68017,plain,(
% 59.37/10.04    spl2737_759),
% 59.37/10.04    inference(avatar_split_clause,[],[f35314,f68014])).
% 59.37/10.04  tff(f68014,plain,(
% 59.37/10.04    spl2737_759 <=> lattice(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_759])])).
% 59.37/10.04  tff(f35314,plain,(
% 59.37/10.04    lattice(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9212])).
% 59.37/10.04  tff(f9212,axiom,(
% 59.37/10.04    lattice(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Olattice_94)).
% 59.37/10.04  tff(f68012,plain,(
% 59.37/10.04    spl2737_758),
% 59.37/10.04    inference(avatar_split_clause,[],[f35313,f68009])).
% 59.37/10.04  tff(f68009,plain,(
% 59.37/10.04    spl2737_758 <=> lattice(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_758])])).
% 59.37/10.04  tff(f35313,plain,(
% 59.37/10.04    lattice(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9375])).
% 59.37/10.04  tff(f9375,axiom,(
% 59.37/10.04    lattice(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Olattice_245)).
% 59.37/10.04  tff(f68007,plain,(
% 59.37/10.04    spl2737_757),
% 59.37/10.04    inference(avatar_split_clause,[],[f35312,f68004])).
% 59.37/10.04  tff(f68004,plain,(
% 59.37/10.04    spl2737_757 <=> lattice(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_757])])).
% 59.37/10.04  tff(f35312,plain,(
% 59.37/10.04    lattice(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9105])).
% 59.37/10.04  tff(f9105,axiom,(
% 59.37/10.04    lattice(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Olattice_11)).
% 59.37/10.04  tff(f68002,plain,(
% 59.37/10.04    spl2737_756),
% 59.37/10.04    inference(avatar_split_clause,[],[f35311,f67999])).
% 59.37/10.04  tff(f67999,plain,(
% 59.37/10.04    spl2737_756 <=> lattice(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_756])])).
% 59.37/10.04  tff(f35311,plain,(
% 59.37/10.04    lattice(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9487])).
% 59.37/10.04  tff(f9487,axiom,(
% 59.37/10.04    lattice(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Olattice_335)).
% 59.37/10.04  tff(f67997,plain,(
% 59.37/10.04    spl2737_755),
% 59.37/10.04    inference(avatar_split_clause,[],[f35310,f67994])).
% 59.37/10.04  tff(f67994,plain,(
% 59.37/10.04    spl2737_755 <=> lattice(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_755])])).
% 59.37/10.04  tff(f35310,plain,(
% 59.37/10.04    lattice(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9309])).
% 59.37/10.04  tff(f9309,axiom,(
% 59.37/10.04    lattice(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Olattice_181)).
% 59.37/10.04  tff(f67992,plain,(
% 59.37/10.04    spl2737_754),
% 59.37/10.04    inference(avatar_split_clause,[],[f35309,f67989])).
% 59.37/10.04  tff(f67989,plain,(
% 59.37/10.04    spl2737_754 <=> lattice(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_754])])).
% 59.37/10.04  tff(f35309,plain,(
% 59.37/10.04    lattice(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9661])).
% 59.37/10.04  tff(f9661,axiom,(
% 59.37/10.04    lattice(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Olattice_508)).
% 59.37/10.04  tff(f67987,plain,(
% 59.37/10.04    spl2737_753),
% 59.37/10.04    inference(avatar_split_clause,[],[f35308,f67984])).
% 59.37/10.04  tff(f67984,plain,(
% 59.37/10.04    spl2737_753 <=> lattice(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_753])])).
% 59.37/10.04  tff(f35308,plain,(
% 59.37/10.04    lattice(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9696])).
% 59.37/10.04  tff(f9696,axiom,(
% 59.37/10.04    lattice(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Olattice_543)).
% 59.37/10.04  tff(f67982,plain,(
% 59.37/10.04    spl2737_752),
% 59.37/10.04    inference(avatar_split_clause,[],[f35307,f67979])).
% 59.37/10.04  tff(f67979,plain,(
% 59.37/10.04    spl2737_752 <=> distrib_lattice(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_752])])).
% 59.37/10.04  tff(f35307,plain,(
% 59.37/10.04    distrib_lattice(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9181])).
% 59.37/10.04  tff(f9181,axiom,(
% 59.37/10.04    distrib_lattice(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Odistrib__lattice_65)).
% 59.37/10.04  tff(f67977,plain,(
% 59.37/10.04    spl2737_751),
% 59.37/10.04    inference(avatar_split_clause,[],[f35306,f67974])).
% 59.37/10.04  tff(f67974,plain,(
% 59.37/10.04    spl2737_751 <=> distrib_lattice(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_751])])).
% 59.37/10.04  tff(f35306,plain,(
% 59.37/10.04    distrib_lattice(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9370])).
% 59.37/10.04  tff(f9370,axiom,(
% 59.37/10.04    distrib_lattice(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Odistrib__lattice_240)).
% 59.37/10.04  tff(f67972,plain,(
% 59.37/10.04    spl2737_750),
% 59.37/10.04    inference(avatar_split_clause,[],[f35305,f67969])).
% 59.37/10.04  tff(f67969,plain,(
% 59.37/10.04    spl2737_750 <=> distrib_lattice(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_750])])).
% 59.37/10.04  tff(f35305,plain,(
% 59.37/10.04    distrib_lattice(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9066])).
% 59.37/10.04  tff(f9066,axiom,(
% 59.37/10.04    distrib_lattice(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Odistrib__lattice_9)).
% 59.37/10.04  tff(f67967,plain,(
% 59.37/10.04    spl2737_749),
% 59.37/10.04    inference(avatar_split_clause,[],[f35304,f67964])).
% 59.37/10.04  tff(f67964,plain,(
% 59.37/10.04    spl2737_749 <=> distrib_lattice(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_749])])).
% 59.37/10.04  tff(f35304,plain,(
% 59.37/10.04    distrib_lattice(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9448])).
% 59.37/10.04  tff(f9448,axiom,(
% 59.37/10.04    distrib_lattice(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Odistrib__lattice_297)).
% 59.37/10.04  tff(f67962,plain,(
% 59.37/10.04    spl2737_748),
% 59.37/10.04    inference(avatar_split_clause,[],[f35303,f67959])).
% 59.37/10.04  tff(f67959,plain,(
% 59.37/10.04    spl2737_748 <=> distrib_lattice(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_748])])).
% 59.37/10.04  tff(f35303,plain,(
% 59.37/10.04    distrib_lattice(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9271])).
% 59.37/10.04  tff(f9271,axiom,(
% 59.37/10.04    distrib_lattice(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Odistrib__lattice_148)).
% 59.37/10.04  tff(f67957,plain,(
% 59.37/10.04    spl2737_747),
% 59.37/10.04    inference(avatar_split_clause,[],[f35302,f67954])).
% 59.37/10.04  tff(f67954,plain,(
% 59.37/10.04    spl2737_747 <=> distrib_lattice(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_747])])).
% 59.37/10.04  tff(f35302,plain,(
% 59.37/10.04    distrib_lattice(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9637])).
% 59.37/10.04  tff(f9637,axiom,(
% 59.37/10.04    distrib_lattice(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Odistrib__lattice_484)).
% 59.37/10.04  tff(f67952,plain,(
% 59.37/10.04    spl2737_746),
% 59.37/10.04    inference(avatar_split_clause,[],[f35301,f67949])).
% 59.37/10.04  tff(f67949,plain,(
% 59.37/10.04    spl2737_746 <=> distrib_lattice(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_746])])).
% 59.37/10.04  tff(f35301,plain,(
% 59.37/10.04    distrib_lattice(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9690])).
% 59.37/10.04  tff(f9690,axiom,(
% 59.37/10.04    distrib_lattice(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Odistrib__lattice_537)).
% 59.37/10.04  tff(f67947,plain,(
% 59.37/10.04    spl2737_745),
% 59.37/10.04    inference(avatar_split_clause,[],[f35300,f67944])).
% 59.37/10.04  tff(f67944,plain,(
% 59.37/10.04    spl2737_745 <=> plus(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_745])])).
% 59.37/10.04  tff(f35300,plain,(
% 59.37/10.04    plus(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9224])).
% 59.37/10.04  tff(f9224,axiom,(
% 59.37/10.04    plus(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oplus_106)).
% 59.37/10.04  tff(f67942,plain,(
% 59.37/10.04    spl2737_744),
% 59.37/10.04    inference(avatar_split_clause,[],[f35299,f67939])).
% 59.37/10.04  tff(f67939,plain,(
% 59.37/10.04    spl2737_744 <=> plus(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_744])])).
% 59.37/10.04  tff(f35299,plain,(
% 59.37/10.04    plus(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9125])).
% 59.37/10.04  tff(f9125,axiom,(
% 59.37/10.04    plus(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oplus)).
% 59.37/10.04  tff(f67937,plain,(
% 59.37/10.04    spl2737_743),
% 59.37/10.04    inference(avatar_split_clause,[],[f35298,f67934])).
% 59.37/10.04  tff(f67934,plain,(
% 59.37/10.04    spl2737_743 <=> plus(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_743])])).
% 59.37/10.04  tff(f35298,plain,(
% 59.37/10.04    plus(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9506])).
% 59.37/10.04  tff(f9506,axiom,(
% 59.37/10.04    plus(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oplus_354)).
% 59.37/10.04  tff(f67932,plain,(
% 59.37/10.04    spl2737_742),
% 59.37/10.04    inference(avatar_split_clause,[],[f35297,f67929])).
% 59.37/10.04  tff(f67929,plain,(
% 59.37/10.04    spl2737_742 <=> plus(num)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_742])])).
% 59.37/10.04  tff(f35297,plain,(
% 59.37/10.04    plus(num)),
% 59.37/10.04    inference(cnf_transformation,[],[f9232])).
% 59.37/10.04  tff(f9232,axiom,(
% 59.37/10.04    plus(num)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Groups_Oplus_113)).
% 59.37/10.04  tff(f67927,plain,(
% 59.37/10.04    spl2737_741),
% 59.37/10.04    inference(avatar_split_clause,[],[f35296,f67924])).
% 59.37/10.04  tff(f67924,plain,(
% 59.37/10.04    spl2737_741 <=> plus(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_741])])).
% 59.37/10.04  tff(f35296,plain,(
% 59.37/10.04    plus(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9328])).
% 59.37/10.04  tff(f9328,axiom,(
% 59.37/10.04    plus(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oplus_198)).
% 59.37/10.04  tff(f67922,plain,(
% 59.37/10.04    spl2737_740),
% 59.37/10.04    inference(avatar_split_clause,[],[f35295,f67919])).
% 59.37/10.04  tff(f67919,plain,(
% 59.37/10.04    spl2737_740 <=> plus(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_740])])).
% 59.37/10.04  tff(f35295,plain,(
% 59.37/10.04    plus(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9796])).
% 59.37/10.04  tff(f9796,axiom,(
% 59.37/10.04    plus(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oplus_643)).
% 59.37/10.04  tff(f67917,plain,(
% 59.37/10.04    spl2737_739),
% 59.37/10.04    inference(avatar_split_clause,[],[f35294,f67914])).
% 59.37/10.04  tff(f67914,plain,(
% 59.37/10.04    spl2737_739 <=> plus(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_739])])).
% 59.37/10.04  tff(f35294,plain,(
% 59.37/10.04    plus(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9867])).
% 59.37/10.04  tff(f9867,axiom,(
% 59.37/10.04    plus(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oplus_714)).
% 59.37/10.04  tff(f67912,plain,(
% 59.37/10.04    spl2737_738),
% 59.37/10.04    inference(avatar_split_clause,[],[f35293,f67909])).
% 59.37/10.04  tff(f67909,plain,(
% 59.37/10.04    spl2737_738 <=> plus(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_738])])).
% 59.37/10.04  tff(f35293,plain,(
% 59.37/10.04    plus(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9611])).
% 59.37/10.04  tff(f9611,axiom,(
% 59.37/10.04    plus(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oplus_459)).
% 59.37/10.04  tff(f67907,plain,(
% 59.37/10.04    spl2737_737),
% 59.37/10.04    inference(avatar_split_clause,[],[f35292,f67904])).
% 59.37/10.04  tff(f67904,plain,(
% 59.37/10.04    spl2737_737 <=> plus(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_737])])).
% 59.37/10.04  tff(f35292,plain,(
% 59.37/10.04    plus(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9670])).
% 59.37/10.04  tff(f9670,axiom,(
% 59.37/10.04    plus(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oplus_517)).
% 59.37/10.04  tff(f67902,plain,(
% 59.37/10.04    spl2737_736),
% 59.37/10.04    inference(avatar_split_clause,[],[f35291,f67899])).
% 59.37/10.04  tff(f67899,plain,(
% 59.37/10.04    spl2737_736 <=> plus(literal)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_736])])).
% 59.37/10.04  tff(f35291,plain,(
% 59.37/10.04    plus(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9537])).
% 59.37/10.04  tff(f9537,axiom,(
% 59.37/10.04    plus(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Oplus_385)).
% 59.37/10.04  tff(f67897,plain,(
% 59.37/10.04    spl2737_735),
% 59.37/10.04    inference(avatar_split_clause,[],[f35290,f67894])).
% 59.37/10.04  tff(f67894,plain,(
% 59.37/10.04    spl2737_735 <=> size(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_735])])).
% 59.37/10.04  tff(f35290,plain,(
% 59.37/10.04    size(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9227])).
% 59.37/10.04  tff(f9227,axiom,(
% 59.37/10.04    size(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osize)).
% 59.37/10.04  tff(f67892,plain,(
% 59.37/10.04    spl2737_734),
% 59.37/10.04    inference(avatar_split_clause,[],[f35289,f67889])).
% 59.37/10.04  tff(f67889,plain,(
% 59.37/10.04    spl2737_734 <=> size(num)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_734])])).
% 59.37/10.04  tff(f35289,plain,(
% 59.37/10.04    size(num)),
% 59.37/10.04    inference(cnf_transformation,[],[f9233])).
% 59.37/10.04  tff(f9233,axiom,(
% 59.37/10.04    size(num)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Num_Onum___Nat_Osize_114)).
% 59.37/10.04  tff(f67887,plain,(
% 59.37/10.04    spl2737_733),
% 59.37/10.04    inference(avatar_split_clause,[],[f35288,f67884])).
% 59.37/10.04  tff(f67884,plain,(
% 59.37/10.04    spl2737_733 <=> size(vEBT_VEBT)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_733])])).
% 59.37/10.04  tff(f35288,plain,(
% 59.37/10.04    size(vEBT_VEBT)),
% 59.37/10.04    inference(cnf_transformation,[],[f9871])).
% 59.37/10.04  tff(f9871,axiom,(
% 59.37/10.04    size(vEBT_VEBT)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_VEBT__Definitions_OVEBT___Nat_Osize_718)).
% 59.37/10.04  tff(f67882,plain,(
% 59.37/10.04    spl2737_732),
% 59.37/10.04    inference(avatar_split_clause,[],[f35287,f67879])).
% 59.37/10.04  tff(f67879,plain,(
% 59.37/10.04    spl2737_732 <=> size(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_732])])).
% 59.37/10.04  tff(f35287,plain,(
% 59.37/10.04    size(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9870])).
% 59.37/10.04  tff(f9870,axiom,(
% 59.37/10.04    size(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Nat_Osize_717)).
% 59.37/10.04  tff(f67877,plain,(
% 59.37/10.04    spl2737_731),
% 59.37/10.04    inference(avatar_split_clause,[],[f35286,f67874])).
% 59.37/10.04  tff(f67874,plain,(
% 59.37/10.04    spl2737_731 <=> size(char)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_731])])).
% 59.37/10.04  tff(f35286,plain,(
% 59.37/10.04    size(char)),
% 59.37/10.04    inference(cnf_transformation,[],[f9511])).
% 59.37/10.04  tff(f9511,axiom,(
% 59.37/10.04    size(char)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Ochar___Nat_Osize_359)).
% 59.37/10.04  tff(f67872,plain,(
% 59.37/10.04    spl2737_730),
% 59.37/10.04    inference(avatar_split_clause,[],[f35285,f67869])).
% 59.37/10.04  tff(f67869,plain,(
% 59.37/10.04    spl2737_730 <=> size(literal)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_730])])).
% 59.37/10.04  tff(f35285,plain,(
% 59.37/10.04    size(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9538])).
% 59.37/10.04  tff(f9538,axiom,(
% 59.37/10.04    size(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Nat_Osize_386)).
% 59.37/10.04  tff(f67867,plain,(
% 59.37/10.04    spl2737_729),
% 59.37/10.04    inference(avatar_split_clause,[],[f35284,f67864])).
% 59.37/10.04  tff(f67864,plain,(
% 59.37/10.04    spl2737_729 <=> monoid_add(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_729])])).
% 59.37/10.04  tff(f35284,plain,(
% 59.37/10.04    monoid_add(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9208])).
% 59.37/10.04  tff(f9208,axiom,(
% 59.37/10.04    monoid_add(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__add_90)).
% 59.37/10.04  tff(f67862,plain,(
% 59.37/10.04    spl2737_728),
% 59.37/10.04    inference(avatar_split_clause,[],[f35283,f67859])).
% 59.37/10.04  tff(f67859,plain,(
% 59.37/10.04    spl2737_728 <=> monoid_add(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_728])])).
% 59.37/10.04  tff(f35283,plain,(
% 59.37/10.04    monoid_add(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9100])).
% 59.37/10.04  tff(f9100,axiom,(
% 59.37/10.04    monoid_add(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__add)).
% 59.37/10.04  tff(f67857,plain,(
% 59.37/10.04    spl2737_727),
% 59.37/10.04    inference(avatar_split_clause,[],[f35282,f67854])).
% 59.37/10.04  tff(f67854,plain,(
% 59.37/10.04    spl2737_727 <=> monoid_add(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_727])])).
% 59.37/10.04  tff(f35282,plain,(
% 59.37/10.04    monoid_add(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9482])).
% 59.37/10.04  tff(f9482,axiom,(
% 59.37/10.04    monoid_add(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__add_330)).
% 59.37/10.04  tff(f67852,plain,(
% 59.37/10.04    spl2737_726),
% 59.37/10.04    inference(avatar_split_clause,[],[f35281,f67849])).
% 59.37/10.04  tff(f67849,plain,(
% 59.37/10.04    spl2737_726 <=> monoid_add(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_726])])).
% 59.37/10.04  tff(f35281,plain,(
% 59.37/10.04    monoid_add(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9304])).
% 59.37/10.04  tff(f9304,axiom,(
% 59.37/10.04    monoid_add(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__add_176)).
% 59.37/10.04  tff(f67847,plain,(
% 59.37/10.04    spl2737_725),
% 59.37/10.04    inference(avatar_split_clause,[],[f35280,f67844])).
% 59.37/10.04  tff(f67844,plain,(
% 59.37/10.04    spl2737_725 <=> monoid_add(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_725])])).
% 59.37/10.04  tff(f35280,plain,(
% 59.37/10.04    monoid_add(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9777])).
% 59.37/10.04  tff(f9777,axiom,(
% 59.37/10.04    monoid_add(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__add_624)).
% 59.37/10.04  tff(f67842,plain,(
% 59.37/10.04    spl2737_724),
% 59.37/10.04    inference(avatar_split_clause,[],[f35279,f67839])).
% 59.37/10.04  tff(f67839,plain,(
% 59.37/10.04    spl2737_724 <=> monoid_add(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_724])])).
% 59.37/10.04  tff(f35279,plain,(
% 59.37/10.04    monoid_add(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9855])).
% 59.37/10.04  tff(f9855,axiom,(
% 59.37/10.04    monoid_add(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Omonoid__add_702)).
% 59.37/10.04  tff(f67837,plain,(
% 59.37/10.04    spl2737_723),
% 59.37/10.04    inference(avatar_split_clause,[],[f35278,f67834])).
% 59.37/10.04  tff(f67834,plain,(
% 59.37/10.04    spl2737_723 <=> monoid_add(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_723])])).
% 59.37/10.04  tff(f35278,plain,(
% 59.37/10.04    monoid_add(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9593])).
% 59.37/10.04  tff(f9593,axiom,(
% 59.37/10.04    monoid_add(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__add_441)).
% 59.37/10.04  tff(f67832,plain,(
% 59.37/10.04    spl2737_722),
% 59.37/10.04    inference(avatar_split_clause,[],[f35277,f67829])).
% 59.37/10.04  tff(f67829,plain,(
% 59.37/10.04    spl2737_722 <=> monoid_add(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_722])])).
% 59.37/10.04  tff(f35277,plain,(
% 59.37/10.04    monoid_add(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9658])).
% 59.37/10.04  tff(f9658,axiom,(
% 59.37/10.04    monoid_add(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__add_505)).
% 59.37/10.04  tff(f67827,plain,(
% 59.37/10.04    spl2737_721),
% 59.37/10.04    inference(avatar_split_clause,[],[f35276,f67824])).
% 59.37/10.04  tff(f67824,plain,(
% 59.37/10.04    spl2737_721 <=> monoid_add(literal)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_721])])).
% 59.37/10.04  tff(f35276,plain,(
% 59.37/10.04    monoid_add(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9533])).
% 59.37/10.04  tff(f9533,axiom,(
% 59.37/10.04    monoid_add(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Omonoid__add_381)).
% 59.37/10.04  tff(f67822,plain,(
% 59.37/10.04    spl2737_720),
% 59.37/10.04    inference(avatar_split_clause,[],[f35275,f67819])).
% 59.37/10.04  tff(f67819,plain,(
% 59.37/10.04    spl2737_720 <=> uminus(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_720])])).
% 59.37/10.04  tff(f35275,plain,(
% 59.37/10.04    uminus(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9378])).
% 59.37/10.04  tff(f9378,axiom,(
% 59.37/10.04    uminus(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ouminus_248)).
% 59.37/10.04  tff(f67817,plain,(
% 59.37/10.04    spl2737_719),
% 59.37/10.04    inference(avatar_split_clause,[],[f35274,f67814])).
% 59.37/10.04  tff(f67814,plain,(
% 59.37/10.04    spl2737_719 <=> uminus(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_719])])).
% 59.37/10.04  tff(f35274,plain,(
% 59.37/10.04    uminus(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9117])).
% 59.37/10.04  tff(f9117,axiom,(
% 59.37/10.04    uminus(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ouminus_14)).
% 59.37/10.04  tff(f67812,plain,(
% 59.37/10.04    spl2737_718),
% 59.37/10.04    inference(avatar_split_clause,[],[f35273,f67809])).
% 59.37/10.04  tff(f67809,plain,(
% 59.37/10.04    spl2737_718 <=> uminus(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_718])])).
% 59.37/10.04  tff(f35273,plain,(
% 59.37/10.04    uminus(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9498])).
% 59.37/10.04  tff(f9498,axiom,(
% 59.37/10.04    uminus(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ouminus_346)).
% 59.37/10.04  tff(f67807,plain,(
% 59.37/10.04    spl2737_717),
% 59.37/10.04    inference(avatar_split_clause,[],[f35272,f67804])).
% 59.37/10.04  tff(f67804,plain,(
% 59.37/10.04    spl2737_717 <=> uminus(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_717])])).
% 59.37/10.04  tff(f35272,plain,(
% 59.37/10.04    uminus(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9320])).
% 59.37/10.04  tff(f9320,axiom,(
% 59.37/10.04    uminus(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ouminus_191)).
% 59.37/10.04  tff(f67802,plain,(
% 59.37/10.04    spl2737_716),
% 59.37/10.04    inference(avatar_split_clause,[],[f35271,f67799])).
% 59.37/10.04  tff(f67799,plain,(
% 59.37/10.04    spl2737_716 <=> uminus(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_716])])).
% 59.37/10.04  tff(f35271,plain,(
% 59.37/10.04    uminus(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9789])).
% 59.37/10.04  tff(f9789,axiom,(
% 59.37/10.04    uminus(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ouminus_636)).
% 59.37/10.04  tff(f67797,plain,(
% 59.37/10.04    spl2737_715),
% 59.37/10.04    inference(avatar_split_clause,[],[f35270,f67794])).
% 59.37/10.04  tff(f67794,plain,(
% 59.37/10.04    spl2737_715 <=> uminus(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_715])])).
% 59.37/10.04  tff(f35270,plain,(
% 59.37/10.04    uminus(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9604])).
% 59.37/10.04  tff(f9604,axiom,(
% 59.37/10.04    uminus(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ouminus_452)).
% 59.37/10.04  tff(f67792,plain,(
% 59.37/10.04    spl2737_714),
% 59.37/10.04    inference(avatar_split_clause,[],[f35269,f67789])).
% 59.37/10.04  tff(f67789,plain,(
% 59.37/10.04    spl2737_714 <=> uminus(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_714])])).
% 59.37/10.04  tff(f35269,plain,(
% 59.37/10.04    uminus(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9699])).
% 59.37/10.04  tff(f9699,axiom,(
% 59.37/10.04    uminus(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ouminus_546)).
% 59.37/10.04  tff(f67787,plain,(
% 59.37/10.04    spl2737_713),
% 59.37/10.04    inference(avatar_split_clause,[],[f35268,f67784])).
% 59.37/10.04  tff(f67784,plain,(
% 59.37/10.04    spl2737_713 <=> zero(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_713])])).
% 59.37/10.04  tff(f35268,plain,(
% 59.37/10.04    zero(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9223])).
% 59.37/10.04  tff(f9223,axiom,(
% 59.37/10.04    zero(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ozero_105)).
% 59.37/10.04  tff(f67782,plain,(
% 59.37/10.04    spl2737_712),
% 59.37/10.04    inference(avatar_split_clause,[],[f35267,f67779])).
% 59.37/10.04  tff(f67779,plain,(
% 59.37/10.04    spl2737_712 <=> zero(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_712])])).
% 59.37/10.04  tff(f35267,plain,(
% 59.37/10.04    zero(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9124])).
% 59.37/10.04  tff(f9124,axiom,(
% 59.37/10.04    zero(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ozero)).
% 59.37/10.04  tff(f67777,plain,(
% 59.37/10.04    spl2737_711),
% 59.37/10.04    inference(avatar_split_clause,[],[f35266,f67774])).
% 59.37/10.04  tff(f67774,plain,(
% 59.37/10.04    spl2737_711 <=> zero(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_711])])).
% 59.37/10.04  tff(f35266,plain,(
% 59.37/10.04    zero(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9505])).
% 59.37/10.04  tff(f9505,axiom,(
% 59.37/10.04    zero(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ozero_353)).
% 59.37/10.04  tff(f67772,plain,(
% 59.37/10.04    spl2737_710),
% 59.37/10.04    inference(avatar_split_clause,[],[f35265,f67769])).
% 59.37/10.04  tff(f67769,plain,(
% 59.37/10.04    spl2737_710 <=> zero(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_710])])).
% 59.37/10.04  tff(f35265,plain,(
% 59.37/10.04    zero(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9327])).
% 59.37/10.04  tff(f9327,axiom,(
% 59.37/10.04    zero(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ozero_197)).
% 59.37/10.04  tff(f67767,plain,(
% 59.37/10.04    spl2737_709),
% 59.37/10.04    inference(avatar_split_clause,[],[f35264,f67764])).
% 59.37/10.04  tff(f67764,plain,(
% 59.37/10.04    spl2737_709 <=> zero(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_709])])).
% 59.37/10.04  tff(f35264,plain,(
% 59.37/10.04    zero(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9795])).
% 59.37/10.04  tff(f9795,axiom,(
% 59.37/10.04    zero(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ozero_642)).
% 59.37/10.04  tff(f67762,plain,(
% 59.37/10.04    spl2737_708),
% 59.37/10.04    inference(avatar_split_clause,[],[f35263,f67759])).
% 59.37/10.04  tff(f67759,plain,(
% 59.37/10.04    spl2737_708 <=> zero(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_708])])).
% 59.37/10.04  tff(f35263,plain,(
% 59.37/10.04    zero(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9866])).
% 59.37/10.04  tff(f9866,axiom,(
% 59.37/10.04    zero(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ozero_713)).
% 59.37/10.04  tff(f67757,plain,(
% 59.37/10.04    spl2737_707),
% 59.37/10.04    inference(avatar_split_clause,[],[f35262,f67754])).
% 59.37/10.04  tff(f67754,plain,(
% 59.37/10.04    spl2737_707 <=> zero(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_707])])).
% 59.37/10.04  tff(f35262,plain,(
% 59.37/10.04    zero(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9610])).
% 59.37/10.04  tff(f9610,axiom,(
% 59.37/10.04    zero(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ozero_458)).
% 59.37/10.04  tff(f67752,plain,(
% 59.37/10.04    spl2737_706),
% 59.37/10.04    inference(avatar_split_clause,[],[f35261,f67749])).
% 59.37/10.04  tff(f67749,plain,(
% 59.37/10.04    spl2737_706 <=> zero(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_706])])).
% 59.37/10.04  tff(f35261,plain,(
% 59.37/10.04    zero(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9669])).
% 59.37/10.04  tff(f9669,axiom,(
% 59.37/10.04    zero(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ozero_516)).
% 59.37/10.04  tff(f67747,plain,(
% 59.37/10.04    spl2737_705),
% 59.37/10.04    inference(avatar_split_clause,[],[f35260,f67744])).
% 59.37/10.04  tff(f67744,plain,(
% 59.37/10.04    spl2737_705 <=> zero(literal)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_705])])).
% 59.37/10.04  tff(f35260,plain,(
% 59.37/10.04    zero(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9536])).
% 59.37/10.04  tff(f9536,axiom,(
% 59.37/10.04    zero(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Ozero_384)).
% 59.37/10.04  tff(f67742,plain,(
% 59.37/10.04    spl2737_704),
% 59.37/10.04    inference(avatar_split_clause,[],[f35259,f67739])).
% 59.37/10.04  tff(f67739,plain,(
% 59.37/10.04    spl2737_704 <=> condit1219197933456340205attice(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_704])])).
% 59.37/10.04  tff(f35259,plain,(
% 59.37/10.04    condit1219197933456340205attice(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9131])).
% 59.37/10.04  tff(f9131,axiom,(
% 59.37/10.04    condit1219197933456340205attice(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_17)).
% 59.37/10.04  tff(f67737,plain,(
% 59.37/10.04    spl2737_703),
% 59.37/10.04    inference(avatar_split_clause,[],[f35258,f67734])).
% 59.37/10.04  tff(f67734,plain,(
% 59.37/10.04    spl2737_703 <=> condit1219197933456340205attice(bool)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_703])])).
% 59.37/10.04  tff(f35258,plain,(
% 59.37/10.04    condit1219197933456340205attice(bool)),
% 59.37/10.04    inference(cnf_transformation,[],[f9354])).
% 59.37/10.04  tff(f9354,axiom,(
% 59.37/10.04    condit1219197933456340205attice(bool)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_224)).
% 59.37/10.04  tff(f67732,plain,(
% 59.37/10.04    spl2737_702),
% 59.37/10.04    inference(avatar_split_clause,[],[f35257,f67729])).
% 59.37/10.04  tff(f67729,plain,(
% 59.37/10.04    spl2737_702 <=> condit1219197933456340205attice(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_702])])).
% 59.37/10.04  tff(f35257,plain,(
% 59.37/10.04    condit1219197933456340205attice(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9007])).
% 59.37/10.04  tff(f9007,axiom,(
% 59.37/10.04    condit1219197933456340205attice(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_6)).
% 59.37/10.04  tff(f67727,plain,(
% 59.37/10.04    spl2737_701),
% 59.37/10.04    inference(avatar_split_clause,[],[f35256,f67724])).
% 59.37/10.04  tff(f67724,plain,(
% 59.37/10.04    spl2737_701 <=> condit1219197933456340205attice(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_701])])).
% 59.37/10.04  tff(f35256,plain,(
% 59.37/10.04    condit1219197933456340205attice(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9382])).
% 59.37/10.04  tff(f9382,axiom,(
% 59.37/10.04    condit1219197933456340205attice(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_252)).
% 59.37/10.04  tff(f67722,plain,(
% 59.37/10.04    spl2737_700),
% 59.37/10.04    inference(avatar_split_clause,[],[f35255,f67719])).
% 59.37/10.04  tff(f67719,plain,(
% 59.37/10.04    spl2737_700 <=> condit1219197933456340205attice(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_700])])).
% 59.37/10.04  tff(f35255,plain,(
% 59.37/10.04    condit1219197933456340205attice(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9617])).
% 59.37/10.04  tff(f9617,axiom,(
% 59.37/10.04    condit1219197933456340205attice(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_465)).
% 59.37/10.04  tff(f67717,plain,(
% 59.37/10.04    spl2737_699),
% 59.37/10.04    inference(avatar_split_clause,[],[f35254,f67714])).
% 59.37/10.04  tff(f67714,plain,(
% 59.37/10.04    spl2737_699 <=> condit1219197933456340205attice(product_unit)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_699])])).
% 59.37/10.04  tff(f35254,plain,(
% 59.37/10.04    condit1219197933456340205attice(product_unit)),
% 59.37/10.04    inference(cnf_transformation,[],[f9677])).
% 59.37/10.04  tff(f9677,axiom,(
% 59.37/10.04    condit1219197933456340205attice(product_unit)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_524)).
% 59.37/10.04  tff(f67712,plain,(
% 59.37/10.04    spl2737_698),
% 59.37/10.04    inference(avatar_split_clause,[],[f35253,f67709])).
% 59.37/10.04  tff(f67709,plain,(
% 59.37/10.04    spl2737_698 <=> semigroup_add(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_698])])).
% 59.37/10.04  tff(f35253,plain,(
% 59.37/10.04    semigroup_add(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9198])).
% 59.37/10.04  tff(f9198,axiom,(
% 59.37/10.04    semigroup_add(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__add_81)).
% 59.37/10.04  tff(f67707,plain,(
% 59.37/10.04    spl2737_697),
% 59.37/10.04    inference(avatar_split_clause,[],[f35252,f67704])).
% 59.37/10.04  tff(f67704,plain,(
% 59.37/10.04    spl2737_697 <=> semigroup_add(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_697])])).
% 59.37/10.04  tff(f35252,plain,(
% 59.37/10.04    semigroup_add(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9085])).
% 59.37/10.04  tff(f9085,axiom,(
% 59.37/10.04    semigroup_add(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__add)).
% 59.37/10.04  tff(f67702,plain,(
% 59.37/10.04    spl2737_696),
% 59.37/10.04    inference(avatar_split_clause,[],[f35251,f67699])).
% 59.37/10.04  tff(f67699,plain,(
% 59.37/10.04    spl2737_696 <=> semigroup_add(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_696])])).
% 59.37/10.04  tff(f35251,plain,(
% 59.37/10.04    semigroup_add(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9465])).
% 59.37/10.04  tff(f9465,axiom,(
% 59.37/10.04    semigroup_add(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__add_314)).
% 59.37/10.04  tff(f67697,plain,(
% 59.37/10.04    spl2737_695),
% 59.37/10.04    inference(avatar_split_clause,[],[f35250,f67694])).
% 59.37/10.04  tff(f67694,plain,(
% 59.37/10.04    spl2737_695 <=> semigroup_add(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_695])])).
% 59.37/10.04  tff(f35250,plain,(
% 59.37/10.04    semigroup_add(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9288])).
% 59.37/10.04  tff(f9288,axiom,(
% 59.37/10.04    semigroup_add(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__add_163)).
% 59.37/10.04  tff(f67692,plain,(
% 59.37/10.04    spl2737_694),
% 59.37/10.04    inference(avatar_split_clause,[],[f35249,f67689])).
% 59.37/10.04  tff(f67689,plain,(
% 59.37/10.04    spl2737_694 <=> semigroup_add(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_694])])).
% 59.37/10.04  tff(f35249,plain,(
% 59.37/10.04    semigroup_add(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9762])).
% 59.37/10.04  tff(f9762,axiom,(
% 59.37/10.04    semigroup_add(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__add_609)).
% 59.37/10.04  tff(f67687,plain,(
% 59.37/10.04    spl2737_693),
% 59.37/10.04    inference(avatar_split_clause,[],[f35248,f67684])).
% 59.37/10.04  tff(f67684,plain,(
% 59.37/10.04    spl2737_693 <=> semigroup_add(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_693])])).
% 59.37/10.04  tff(f35248,plain,(
% 59.37/10.04    semigroup_add(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9847])).
% 59.37/10.04  tff(f9847,axiom,(
% 59.37/10.04    semigroup_add(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Osemigroup__add_694)).
% 59.37/10.04  tff(f67682,plain,(
% 59.37/10.04    spl2737_692),
% 59.37/10.04    inference(avatar_split_clause,[],[f35247,f67679])).
% 59.37/10.04  tff(f67679,plain,(
% 59.37/10.04    spl2737_692 <=> semigroup_add(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_692])])).
% 59.37/10.04  tff(f35247,plain,(
% 59.37/10.04    semigroup_add(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9581])).
% 59.37/10.04  tff(f9581,axiom,(
% 59.37/10.04    semigroup_add(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__add_429)).
% 59.37/10.04  tff(f67677,plain,(
% 59.37/10.04    spl2737_691),
% 59.37/10.04    inference(avatar_split_clause,[],[f35246,f67674])).
% 59.37/10.04  tff(f67674,plain,(
% 59.37/10.04    spl2737_691 <=> semigroup_add(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_691])])).
% 59.37/10.04  tff(f35246,plain,(
% 59.37/10.04    semigroup_add(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9647])).
% 59.37/10.04  tff(f9647,axiom,(
% 59.37/10.04    semigroup_add(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__add_494)).
% 59.37/10.04  tff(f67672,plain,(
% 59.37/10.04    spl2737_690),
% 59.37/10.04    inference(avatar_split_clause,[],[f35245,f67669])).
% 59.37/10.04  tff(f67669,plain,(
% 59.37/10.04    spl2737_690 <=> semigroup_add(literal)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_690])])).
% 59.37/10.04  tff(f35245,plain,(
% 59.37/10.04    semigroup_add(literal)),
% 59.37/10.04    inference(cnf_transformation,[],[f9530])).
% 59.37/10.04  tff(f9530,axiom,(
% 59.37/10.04    semigroup_add(literal)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Osemigroup__add_378)).
% 59.37/10.04  tff(f67667,plain,(
% 59.37/10.04    spl2737_689),
% 59.37/10.04    inference(avatar_split_clause,[],[f35244,f67664])).
% 59.37/10.04  tff(f67664,plain,(
% 59.37/10.04    spl2737_689 <=> comm_monoid_add(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_689])])).
% 59.37/10.04  tff(f35244,plain,(
% 59.37/10.04    comm_monoid_add(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9190])).
% 59.37/10.04  tff(f9190,axiom,(
% 59.37/10.04    comm_monoid_add(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__add_73)).
% 59.37/10.04  tff(f67662,plain,(
% 59.37/10.04    spl2737_688),
% 59.37/10.04    inference(avatar_split_clause,[],[f35243,f67659])).
% 59.37/10.04  tff(f67659,plain,(
% 59.37/10.04    spl2737_688 <=> comm_monoid_add(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_688])])).
% 59.37/10.04  tff(f35243,plain,(
% 59.37/10.04    comm_monoid_add(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9075])).
% 59.37/10.04  tff(f9075,axiom,(
% 59.37/10.04    comm_monoid_add(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__add)).
% 59.37/10.04  tff(f67657,plain,(
% 59.37/10.04    spl2737_687),
% 59.37/10.04    inference(avatar_split_clause,[],[f35242,f67654])).
% 59.37/10.04  tff(f67654,plain,(
% 59.37/10.04    spl2737_687 <=> comm_monoid_add(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_687])])).
% 59.37/10.04  tff(f35242,plain,(
% 59.37/10.04    comm_monoid_add(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9456])).
% 59.37/10.04  tff(f9456,axiom,(
% 59.37/10.04    comm_monoid_add(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__add_305)).
% 59.37/10.04  tff(f67652,plain,(
% 59.37/10.04    spl2737_686),
% 59.37/10.04    inference(avatar_split_clause,[],[f35241,f67649])).
% 59.37/10.04  tff(f67649,plain,(
% 59.37/10.04    spl2737_686 <=> comm_monoid_add(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_686])])).
% 59.37/10.04  tff(f35241,plain,(
% 59.37/10.04    comm_monoid_add(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9279])).
% 59.37/10.04  tff(f9279,axiom,(
% 59.37/10.04    comm_monoid_add(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__add_155)).
% 59.37/10.04  tff(f67647,plain,(
% 59.37/10.04    spl2737_685),
% 59.37/10.04    inference(avatar_split_clause,[],[f35240,f67644])).
% 59.37/10.04  tff(f67644,plain,(
% 59.37/10.04    spl2737_685 <=> comm_monoid_add(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_685])])).
% 59.37/10.04  tff(f35240,plain,(
% 59.37/10.04    comm_monoid_add(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9752])).
% 59.37/10.04  tff(f9752,axiom,(
% 59.37/10.04    comm_monoid_add(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__add_599)).
% 59.37/10.04  tff(f67642,plain,(
% 59.37/10.04    spl2737_684),
% 59.37/10.04    inference(avatar_split_clause,[],[f35239,f67639])).
% 59.37/10.04  tff(f67639,plain,(
% 59.37/10.04    spl2737_684 <=> comm_monoid_add(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_684])])).
% 59.37/10.04  tff(f35239,plain,(
% 59.37/10.04    comm_monoid_add(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9839])).
% 59.37/10.04  tff(f9839,axiom,(
% 59.37/10.04    comm_monoid_add(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ocomm__monoid__add_686)).
% 59.37/10.04  tff(f67637,plain,(
% 59.37/10.04    spl2737_683),
% 59.37/10.04    inference(avatar_split_clause,[],[f35238,f67634])).
% 59.37/10.04  tff(f67634,plain,(
% 59.37/10.04    spl2737_683 <=> comm_monoid_add(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_683])])).
% 59.37/10.04  tff(f35238,plain,(
% 59.37/10.04    comm_monoid_add(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9575])).
% 59.37/10.04  tff(f9575,axiom,(
% 59.37/10.04    comm_monoid_add(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__add_423)).
% 59.37/10.04  tff(f67632,plain,(
% 59.37/10.04    spl2737_682),
% 59.37/10.04    inference(avatar_split_clause,[],[f35237,f67629])).
% 59.37/10.04  tff(f67629,plain,(
% 59.37/10.04    spl2737_682 <=> comm_monoid_add(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_682])])).
% 59.37/10.04  tff(f35237,plain,(
% 59.37/10.04    comm_monoid_add(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9642])).
% 59.37/10.04  tff(f9642,axiom,(
% 59.37/10.04    comm_monoid_add(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__add_489)).
% 59.37/10.04  tff(f67627,plain,(
% 59.37/10.04    spl2737_681),
% 59.37/10.04    inference(avatar_split_clause,[],[f35236,f67624])).
% 59.37/10.04  tff(f67624,plain,(
% 59.37/10.04    spl2737_681 <=> comm_monoid_mult(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_681])])).
% 59.37/10.04  tff(f35236,plain,(
% 59.37/10.04    comm_monoid_mult(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9185])).
% 59.37/10.04  tff(f9185,axiom,(
% 59.37/10.04    comm_monoid_mult(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__mult_69)).
% 59.37/10.04  tff(f67622,plain,(
% 59.37/10.04    spl2737_680),
% 59.37/10.04    inference(avatar_split_clause,[],[f35235,f67619])).
% 59.37/10.04  tff(f67619,plain,(
% 59.37/10.04    spl2737_680 <=> comm_monoid_mult(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_680])])).
% 59.37/10.04  tff(f35235,plain,(
% 59.37/10.04    comm_monoid_mult(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9070])).
% 59.37/10.04  tff(f9070,axiom,(
% 59.37/10.04    comm_monoid_mult(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__mult)).
% 59.37/10.04  tff(f67617,plain,(
% 59.37/10.04    spl2737_679),
% 59.37/10.04    inference(avatar_split_clause,[],[f35234,f67614])).
% 59.37/10.04  tff(f67614,plain,(
% 59.37/10.04    spl2737_679 <=> comm_monoid_mult(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_679])])).
% 59.37/10.04  tff(f35234,plain,(
% 59.37/10.04    comm_monoid_mult(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9451])).
% 59.37/10.04  tff(f9451,axiom,(
% 59.37/10.04    comm_monoid_mult(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__mult_300)).
% 59.37/10.04  tff(f67612,plain,(
% 59.37/10.04    spl2737_678),
% 59.37/10.04    inference(avatar_split_clause,[],[f35233,f67609])).
% 59.37/10.04  tff(f67609,plain,(
% 59.37/10.04    spl2737_678 <=> comm_monoid_mult(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_678])])).
% 59.37/10.04  tff(f35233,plain,(
% 59.37/10.04    comm_monoid_mult(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9274])).
% 59.37/10.04  tff(f9274,axiom,(
% 59.37/10.04    comm_monoid_mult(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__mult_151)).
% 59.37/10.04  tff(f67607,plain,(
% 59.37/10.04    spl2737_677),
% 59.37/10.04    inference(avatar_split_clause,[],[f35232,f67604])).
% 59.37/10.04  tff(f67604,plain,(
% 59.37/10.04    spl2737_677 <=> comm_monoid_mult(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_677])])).
% 59.37/10.04  tff(f35232,plain,(
% 59.37/10.04    comm_monoid_mult(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9747])).
% 59.37/10.04  tff(f9747,axiom,(
% 59.37/10.04    comm_monoid_mult(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__mult_594)).
% 59.37/10.04  tff(f67602,plain,(
% 59.37/10.04    spl2737_676),
% 59.37/10.04    inference(avatar_split_clause,[],[f35231,f67599])).
% 59.37/10.04  tff(f67599,plain,(
% 59.37/10.04    spl2737_676 <=> comm_monoid_mult(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_676])])).
% 59.37/10.04  tff(f35231,plain,(
% 59.37/10.04    comm_monoid_mult(code_natural)),
% 59.37/10.04    inference(cnf_transformation,[],[f9834])).
% 59.37/10.04  tff(f9834,axiom,(
% 59.37/10.04    comm_monoid_mult(code_natural)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ocomm__monoid__mult_681)).
% 59.37/10.04  tff(f67597,plain,(
% 59.37/10.04    spl2737_675),
% 59.37/10.04    inference(avatar_split_clause,[],[f35230,f67594])).
% 59.37/10.04  tff(f67594,plain,(
% 59.37/10.04    spl2737_675 <=> comm_monoid_mult(complex)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_675])])).
% 59.37/10.04  tff(f35230,plain,(
% 59.37/10.04    comm_monoid_mult(complex)),
% 59.37/10.04    inference(cnf_transformation,[],[f9573])).
% 59.37/10.04  tff(f9573,axiom,(
% 59.37/10.04    comm_monoid_mult(complex)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__mult_421)).
% 59.37/10.04  tff(f67592,plain,(
% 59.37/10.04    spl2737_674),
% 59.37/10.04    inference(avatar_split_clause,[],[f35229,f67589])).
% 59.37/10.04  tff(f67589,plain,(
% 59.37/10.04    spl2737_674 <=> comm_monoid_mult(extended_enat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_674])])).
% 59.37/10.04  tff(f35229,plain,(
% 59.37/10.04    comm_monoid_mult(extended_enat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9639])).
% 59.37/10.04  tff(f9639,axiom,(
% 59.37/10.04    comm_monoid_mult(extended_enat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__mult_486)).
% 59.37/10.04  tff(f67587,plain,(
% 59.37/10.04    spl2737_673),
% 59.37/10.04    inference(avatar_split_clause,[],[f35228,f67584])).
% 59.37/10.04  tff(f67584,plain,(
% 59.37/10.04    spl2737_673 <=> semiring_1(nat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_673])])).
% 59.37/10.04  tff(f35228,plain,(
% 59.37/10.04    semiring_1(nat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9209])).
% 59.37/10.04  tff(f9209,axiom,(
% 59.37/10.04    semiring_1(nat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1_91)).
% 59.37/10.04  tff(f67582,plain,(
% 59.37/10.04    spl2737_672),
% 59.37/10.04    inference(avatar_split_clause,[],[f35227,f67579])).
% 59.37/10.04  tff(f67579,plain,(
% 59.37/10.04    spl2737_672 <=> semiring_1(int)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_672])])).
% 59.37/10.04  tff(f35227,plain,(
% 59.37/10.04    semiring_1(int)),
% 59.37/10.04    inference(cnf_transformation,[],[f9101])).
% 59.37/10.04  tff(f9101,axiom,(
% 59.37/10.04    semiring_1(int)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1)).
% 59.37/10.04  tff(f67577,plain,(
% 59.37/10.04    spl2737_671),
% 59.37/10.04    inference(avatar_split_clause,[],[f35226,f67574])).
% 59.37/10.04  tff(f67574,plain,(
% 59.37/10.04    spl2737_671 <=> semiring_1(real)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_671])])).
% 59.37/10.04  tff(f35226,plain,(
% 59.37/10.04    semiring_1(real)),
% 59.37/10.04    inference(cnf_transformation,[],[f9483])).
% 59.37/10.04  tff(f9483,axiom,(
% 59.37/10.04    semiring_1(real)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1_331)).
% 59.37/10.04  tff(f67572,plain,(
% 59.37/10.04    spl2737_670),
% 59.37/10.04    inference(avatar_split_clause,[],[f35225,f67569])).
% 59.37/10.04  tff(f67569,plain,(
% 59.37/10.04    spl2737_670 <=> semiring_1(rat)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_670])])).
% 59.37/10.04  tff(f35225,plain,(
% 59.37/10.04    semiring_1(rat)),
% 59.37/10.04    inference(cnf_transformation,[],[f9305])).
% 59.37/10.04  tff(f9305,axiom,(
% 59.37/10.04    semiring_1(rat)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1_177)).
% 59.37/10.04  tff(f67567,plain,(
% 59.37/10.04    spl2737_669),
% 59.37/10.04    inference(avatar_split_clause,[],[f35224,f67564])).
% 59.37/10.04  tff(f67564,plain,(
% 59.37/10.04    spl2737_669 <=> semiring_1(code_integer)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_669])])).
% 59.37/10.04  tff(f35224,plain,(
% 59.37/10.04    semiring_1(code_integer)),
% 59.37/10.04    inference(cnf_transformation,[],[f9778])).
% 59.37/10.04  tff(f9778,axiom,(
% 59.37/10.04    semiring_1(code_integer)),
% 59.37/10.04    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1_625)).
% 59.37/10.04  tff(f67562,plain,(
% 59.37/10.04    spl2737_668),
% 59.37/10.04    inference(avatar_split_clause,[],[f35223,f67559])).
% 59.37/10.04  tff(f67559,plain,(
% 59.37/10.04    spl2737_668 <=> semiring_1(code_natural)),
% 59.37/10.04    introduced(avatar_definition,[new_symbols(naming,[spl2737_668])])).
% 59.37/10.05  tff(f35223,plain,(
% 59.37/10.05    semiring_1(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9856])).
% 59.37/10.05  tff(f9856,axiom,(
% 59.37/10.05    semiring_1(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring__1_703)).
% 59.37/10.05  tff(f67557,plain,(
% 59.37/10.05    spl2737_667),
% 59.37/10.05    inference(avatar_split_clause,[],[f35222,f67554])).
% 59.37/10.05  tff(f67554,plain,(
% 59.37/10.05    spl2737_667 <=> semiring_1(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_667])])).
% 59.37/10.05  tff(f35222,plain,(
% 59.37/10.05    semiring_1(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9594])).
% 59.37/10.05  tff(f9594,axiom,(
% 59.37/10.05    semiring_1(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1_442)).
% 59.37/10.05  tff(f67552,plain,(
% 59.37/10.05    spl2737_666),
% 59.37/10.05    inference(avatar_split_clause,[],[f35221,f67549])).
% 59.37/10.05  tff(f67549,plain,(
% 59.37/10.05    spl2737_666 <=> semiring_1(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_666])])).
% 59.37/10.05  tff(f35221,plain,(
% 59.37/10.05    semiring_1(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9659])).
% 59.37/10.05  tff(f9659,axiom,(
% 59.37/10.05    semiring_1(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__1_506)).
% 59.37/10.05  tff(f67547,plain,(
% 59.37/10.05    spl2737_665),
% 59.37/10.05    inference(avatar_split_clause,[],[f35220,f67544])).
% 59.37/10.05  tff(f67544,plain,(
% 59.37/10.05    spl2737_665 <=> semiring_char_0(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_665])])).
% 59.37/10.05  tff(f35220,plain,(
% 59.37/10.05    semiring_char_0(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9203])).
% 59.37/10.05  tff(f9203,axiom,(
% 59.37/10.05    semiring_char_0(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osemiring__char__0_85)).
% 59.37/10.05  tff(f67542,plain,(
% 59.37/10.05    spl2737_664),
% 59.37/10.05    inference(avatar_split_clause,[],[f35219,f67539])).
% 59.37/10.05  tff(f67539,plain,(
% 59.37/10.05    spl2737_664 <=> semiring_char_0(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_664])])).
% 59.37/10.05  tff(f35219,plain,(
% 59.37/10.05    semiring_char_0(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9088])).
% 59.37/10.05  tff(f9088,axiom,(
% 59.37/10.05    semiring_char_0(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Osemiring__char__0)).
% 59.37/10.05  tff(f67537,plain,(
% 59.37/10.05    spl2737_663),
% 59.37/10.05    inference(avatar_split_clause,[],[f35218,f67534])).
% 59.37/10.05  tff(f67534,plain,(
% 59.37/10.05    spl2737_663 <=> semiring_char_0(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_663])])).
% 59.37/10.05  tff(f35218,plain,(
% 59.37/10.05    semiring_char_0(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9470])).
% 59.37/10.05  tff(f9470,axiom,(
% 59.37/10.05    semiring_char_0(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Osemiring__char__0_319)).
% 59.37/10.05  tff(f67532,plain,(
% 59.37/10.05    spl2737_662),
% 59.37/10.05    inference(avatar_split_clause,[],[f35217,f67529])).
% 59.37/10.05  tff(f67529,plain,(
% 59.37/10.05    spl2737_662 <=> semiring_char_0(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_662])])).
% 59.37/10.05  tff(f35217,plain,(
% 59.37/10.05    semiring_char_0(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9293])).
% 59.37/10.05  tff(f9293,axiom,(
% 59.37/10.05    semiring_char_0(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Osemiring__char__0_166)).
% 59.37/10.05  tff(f67527,plain,(
% 59.37/10.05    spl2737_661),
% 59.37/10.05    inference(avatar_split_clause,[],[f35216,f67524])).
% 59.37/10.05  tff(f67524,plain,(
% 59.37/10.05    spl2737_661 <=> semiring_char_0(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_661])])).
% 59.37/10.05  tff(f35216,plain,(
% 59.37/10.05    semiring_char_0(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9765])).
% 59.37/10.05  tff(f9765,axiom,(
% 59.37/10.05    semiring_char_0(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Osemiring__char__0_612)).
% 59.37/10.05  tff(f67522,plain,(
% 59.37/10.05    spl2737_660),
% 59.37/10.05    inference(avatar_split_clause,[],[f35215,f67519])).
% 59.37/10.05  tff(f67519,plain,(
% 59.37/10.05    spl2737_660 <=> semiring_char_0(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_660])])).
% 59.37/10.05  tff(f35215,plain,(
% 59.37/10.05    semiring_char_0(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9850])).
% 59.37/10.05  tff(f9850,axiom,(
% 59.37/10.05    semiring_char_0(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Nat_Osemiring__char__0_697)).
% 59.37/10.05  tff(f67517,plain,(
% 59.37/10.05    spl2737_659),
% 59.37/10.05    inference(avatar_split_clause,[],[f35214,f67514])).
% 59.37/10.05  tff(f67514,plain,(
% 59.37/10.05    spl2737_659 <=> semiring_char_0(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_659])])).
% 59.37/10.05  tff(f35214,plain,(
% 59.37/10.05    semiring_char_0(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9585])).
% 59.37/10.05  tff(f9585,axiom,(
% 59.37/10.05    semiring_char_0(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Osemiring__char__0_433)).
% 59.37/10.05  tff(f67512,plain,(
% 59.37/10.05    spl2737_658),
% 59.37/10.05    inference(avatar_split_clause,[],[f35213,f67509])).
% 59.37/10.05  tff(f67509,plain,(
% 59.37/10.05    spl2737_658 <=> semiring_char_0(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_658])])).
% 59.37/10.05  tff(f35213,plain,(
% 59.37/10.05    semiring_char_0(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9653])).
% 59.37/10.05  tff(f9653,axiom,(
% 59.37/10.05    semiring_char_0(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Nat_Osemiring__char__0_500)).
% 59.37/10.05  tff(f67507,plain,(
% 59.37/10.05    spl2737_657),
% 59.37/10.05    inference(avatar_split_clause,[],[f35212,f67504])).
% 59.37/10.05  tff(f67504,plain,(
% 59.37/10.05    spl2737_657 <=> comm_semiring_1(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_657])])).
% 59.37/10.05  tff(f35212,plain,(
% 59.37/10.05    comm_semiring_1(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9192])).
% 59.37/10.05  tff(f9192,axiom,(
% 59.37/10.05    comm_semiring_1(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1_75)).
% 59.37/10.05  tff(f67502,plain,(
% 59.37/10.05    spl2737_656),
% 59.37/10.05    inference(avatar_split_clause,[],[f35211,f67499])).
% 59.37/10.05  tff(f67499,plain,(
% 59.37/10.05    spl2737_656 <=> comm_semiring_1(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_656])])).
% 59.37/10.05  tff(f35211,plain,(
% 59.37/10.05    comm_semiring_1(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9079])).
% 59.37/10.05  tff(f9079,axiom,(
% 59.37/10.05    comm_semiring_1(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1)).
% 59.37/10.05  tff(f67497,plain,(
% 59.37/10.05    spl2737_655),
% 59.37/10.05    inference(avatar_split_clause,[],[f35210,f67494])).
% 59.37/10.05  tff(f67494,plain,(
% 59.37/10.05    spl2737_655 <=> comm_semiring_1(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_655])])).
% 59.37/10.05  tff(f35210,plain,(
% 59.37/10.05    comm_semiring_1(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9459])).
% 59.37/10.05  tff(f9459,axiom,(
% 59.37/10.05    comm_semiring_1(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1_308)).
% 59.37/10.05  tff(f67492,plain,(
% 59.37/10.05    spl2737_654),
% 59.37/10.05    inference(avatar_split_clause,[],[f35209,f67489])).
% 59.37/10.05  tff(f67489,plain,(
% 59.37/10.05    spl2737_654 <=> comm_semiring_1(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_654])])).
% 59.37/10.05  tff(f35209,plain,(
% 59.37/10.05    comm_semiring_1(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9282])).
% 59.37/10.05  tff(f9282,axiom,(
% 59.37/10.05    comm_semiring_1(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1_158)).
% 59.37/10.05  tff(f67487,plain,(
% 59.37/10.05    spl2737_653),
% 59.37/10.05    inference(avatar_split_clause,[],[f35208,f67484])).
% 59.37/10.05  tff(f67484,plain,(
% 59.37/10.05    spl2737_653 <=> comm_semiring_1(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_653])])).
% 59.37/10.05  tff(f35208,plain,(
% 59.37/10.05    comm_semiring_1(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9756])).
% 59.37/10.05  tff(f9756,axiom,(
% 59.37/10.05    comm_semiring_1(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1_603)).
% 59.37/10.05  tff(f67482,plain,(
% 59.37/10.05    spl2737_652),
% 59.37/10.05    inference(avatar_split_clause,[],[f35207,f67479])).
% 59.37/10.05  tff(f67479,plain,(
% 59.37/10.05    spl2737_652 <=> comm_semiring_1(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_652])])).
% 59.37/10.05  tff(f35207,plain,(
% 59.37/10.05    comm_semiring_1(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9841])).
% 59.37/10.05  tff(f9841,axiom,(
% 59.37/10.05    comm_semiring_1(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Ocomm__semiring__1_688)).
% 59.37/10.05  tff(f67477,plain,(
% 59.37/10.05    spl2737_651),
% 59.37/10.05    inference(avatar_split_clause,[],[f35206,f67474])).
% 59.37/10.05  tff(f67474,plain,(
% 59.37/10.05    spl2737_651 <=> comm_semiring_1(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_651])])).
% 59.37/10.05  tff(f35206,plain,(
% 59.37/10.05    comm_semiring_1(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9576])).
% 59.37/10.05  tff(f9576,axiom,(
% 59.37/10.05    comm_semiring_1(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1_424)).
% 59.37/10.05  tff(f67472,plain,(
% 59.37/10.05    spl2737_650),
% 59.37/10.05    inference(avatar_split_clause,[],[f35205,f67469])).
% 59.37/10.05  tff(f67469,plain,(
% 59.37/10.05    spl2737_650 <=> comm_semiring_1(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_650])])).
% 59.37/10.05  tff(f35205,plain,(
% 59.37/10.05    comm_semiring_1(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9643])).
% 59.37/10.05  tff(f9643,axiom,(
% 59.37/10.05    comm_semiring_1(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__1_490)).
% 59.37/10.05  tff(f67467,plain,(
% 59.37/10.05    spl2737_649),
% 59.37/10.05    inference(avatar_split_clause,[],[f35204,f67464])).
% 59.37/10.05  tff(f67464,plain,(
% 59.37/10.05    spl2737_649 <=> monoid_mult(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_649])])).
% 59.37/10.05  tff(f35204,plain,(
% 59.37/10.05    monoid_mult(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9207])).
% 59.37/10.05  tff(f9207,axiom,(
% 59.37/10.05    monoid_mult(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__mult_89)).
% 59.37/10.05  tff(f67462,plain,(
% 59.37/10.05    spl2737_648),
% 59.37/10.05    inference(avatar_split_clause,[],[f35203,f67459])).
% 59.37/10.05  tff(f67459,plain,(
% 59.37/10.05    spl2737_648 <=> monoid_mult(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_648])])).
% 59.37/10.05  tff(f35203,plain,(
% 59.37/10.05    monoid_mult(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9096])).
% 59.37/10.05  tff(f9096,axiom,(
% 59.37/10.05    monoid_mult(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__mult)).
% 59.37/10.05  tff(f67457,plain,(
% 59.37/10.05    spl2737_647),
% 59.37/10.05    inference(avatar_split_clause,[],[f35202,f67454])).
% 59.37/10.05  tff(f67454,plain,(
% 59.37/10.05    spl2737_647 <=> monoid_mult(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_647])])).
% 59.37/10.05  tff(f35202,plain,(
% 59.37/10.05    monoid_mult(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9478])).
% 59.37/10.05  tff(f9478,axiom,(
% 59.37/10.05    monoid_mult(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__mult_327)).
% 59.37/10.05  tff(f67452,plain,(
% 59.37/10.05    spl2737_646),
% 59.37/10.05    inference(avatar_split_clause,[],[f35201,f67449])).
% 59.37/10.05  tff(f67449,plain,(
% 59.37/10.05    spl2737_646 <=> monoid_mult(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_646])])).
% 59.37/10.05  tff(f35201,plain,(
% 59.37/10.05    monoid_mult(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9301])).
% 59.37/10.05  tff(f9301,axiom,(
% 59.37/10.05    monoid_mult(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__mult_173)).
% 59.37/10.05  tff(f67447,plain,(
% 59.37/10.05    spl2737_645),
% 59.37/10.05    inference(avatar_split_clause,[],[f35200,f67444])).
% 59.37/10.05  tff(f67444,plain,(
% 59.37/10.05    spl2737_645 <=> monoid_mult(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_645])])).
% 59.37/10.05  tff(f35200,plain,(
% 59.37/10.05    monoid_mult(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9773])).
% 59.37/10.05  tff(f9773,axiom,(
% 59.37/10.05    monoid_mult(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__mult_620)).
% 59.37/10.05  tff(f67442,plain,(
% 59.37/10.05    spl2737_644),
% 59.37/10.05    inference(avatar_split_clause,[],[f35199,f67439])).
% 59.37/10.05  tff(f67439,plain,(
% 59.37/10.05    spl2737_644 <=> monoid_mult(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_644])])).
% 59.37/10.05  tff(f35199,plain,(
% 59.37/10.05    monoid_mult(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9854])).
% 59.37/10.05  tff(f9854,axiom,(
% 59.37/10.05    monoid_mult(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Omonoid__mult_701)).
% 59.37/10.05  tff(f67437,plain,(
% 59.37/10.05    spl2737_643),
% 59.37/10.05    inference(avatar_split_clause,[],[f35198,f67434])).
% 59.37/10.05  tff(f67434,plain,(
% 59.37/10.05    spl2737_643 <=> monoid_mult(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_643])])).
% 59.37/10.05  tff(f35198,plain,(
% 59.37/10.05    monoid_mult(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9590])).
% 59.37/10.05  tff(f9590,axiom,(
% 59.37/10.05    monoid_mult(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__mult_438)).
% 59.37/10.05  tff(f67432,plain,(
% 59.37/10.05    spl2737_642),
% 59.37/10.05    inference(avatar_split_clause,[],[f35197,f67429])).
% 59.37/10.05  tff(f67429,plain,(
% 59.37/10.05    spl2737_642 <=> monoid_mult(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_642])])).
% 59.37/10.05  tff(f35197,plain,(
% 59.37/10.05    monoid_mult(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9657])).
% 59.37/10.05  tff(f9657,axiom,(
% 59.37/10.05    monoid_mult(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__mult_504)).
% 59.37/10.05  tff(f67427,plain,(
% 59.37/10.05    spl2737_641),
% 59.37/10.05    inference(avatar_split_clause,[],[f35196,f67424])).
% 59.37/10.05  tff(f67424,plain,(
% 59.37/10.05    spl2737_641 <=> numeral(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_641])])).
% 59.37/10.05  tff(f35196,plain,(
% 59.37/10.05    numeral(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9222])).
% 59.37/10.05  tff(f9222,axiom,(
% 59.37/10.05    numeral(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Onumeral_104)).
% 59.37/10.05  tff(f67422,plain,(
% 59.37/10.05    spl2737_640),
% 59.37/10.05    inference(avatar_split_clause,[],[f35195,f67419])).
% 59.37/10.05  tff(f67419,plain,(
% 59.37/10.05    spl2737_640 <=> numeral(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_640])])).
% 59.37/10.05  tff(f35195,plain,(
% 59.37/10.05    numeral(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9123])).
% 59.37/10.05  tff(f9123,axiom,(
% 59.37/10.05    numeral(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Onumeral)).
% 59.37/10.05  tff(f67417,plain,(
% 59.37/10.05    spl2737_639),
% 59.37/10.05    inference(avatar_split_clause,[],[f35194,f67414])).
% 59.37/10.05  tff(f67414,plain,(
% 59.37/10.05    spl2737_639 <=> numeral(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_639])])).
% 59.37/10.05  tff(f35194,plain,(
% 59.37/10.05    numeral(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9504])).
% 59.37/10.05  tff(f9504,axiom,(
% 59.37/10.05    numeral(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Onumeral_352)).
% 59.37/10.05  tff(f67412,plain,(
% 59.37/10.05    spl2737_638),
% 59.37/10.05    inference(avatar_split_clause,[],[f35193,f67409])).
% 59.37/10.05  tff(f67409,plain,(
% 59.37/10.05    spl2737_638 <=> numeral(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_638])])).
% 59.37/10.05  tff(f35193,plain,(
% 59.37/10.05    numeral(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9326])).
% 59.37/10.05  tff(f9326,axiom,(
% 59.37/10.05    numeral(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Onumeral_196)).
% 59.37/10.05  tff(f67407,plain,(
% 59.37/10.05    spl2737_637),
% 59.37/10.05    inference(avatar_split_clause,[],[f35192,f67404])).
% 59.37/10.05  tff(f67404,plain,(
% 59.37/10.05    spl2737_637 <=> numeral(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_637])])).
% 59.37/10.05  tff(f35192,plain,(
% 59.37/10.05    numeral(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9794])).
% 59.37/10.05  tff(f9794,axiom,(
% 59.37/10.05    numeral(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Onumeral_641)).
% 59.37/10.05  tff(f67402,plain,(
% 59.37/10.05    spl2737_636),
% 59.37/10.05    inference(avatar_split_clause,[],[f35191,f67399])).
% 59.37/10.05  tff(f67399,plain,(
% 59.37/10.05    spl2737_636 <=> numeral(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_636])])).
% 59.37/10.05  tff(f35191,plain,(
% 59.37/10.05    numeral(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9865])).
% 59.37/10.05  tff(f9865,axiom,(
% 59.37/10.05    numeral(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Num_Onumeral_712)).
% 59.37/10.05  tff(f67397,plain,(
% 59.37/10.05    spl2737_635),
% 59.37/10.05    inference(avatar_split_clause,[],[f35190,f67394])).
% 59.37/10.05  tff(f67394,plain,(
% 59.37/10.05    spl2737_635 <=> numeral(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_635])])).
% 59.37/10.05  tff(f35190,plain,(
% 59.37/10.05    numeral(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9609])).
% 59.37/10.05  tff(f9609,axiom,(
% 59.37/10.05    numeral(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Onumeral_457)).
% 59.37/10.05  tff(f67392,plain,(
% 59.37/10.05    spl2737_634),
% 59.37/10.05    inference(avatar_split_clause,[],[f35189,f67389])).
% 59.37/10.05  tff(f67389,plain,(
% 59.37/10.05    spl2737_634 <=> numeral(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_634])])).
% 59.37/10.05  tff(f35189,plain,(
% 59.37/10.05    numeral(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9668])).
% 59.37/10.05  tff(f9668,axiom,(
% 59.37/10.05    numeral(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Onumeral_515)).
% 59.37/10.05  tff(f67387,plain,(
% 59.37/10.05    spl2737_633),
% 59.37/10.05    inference(avatar_split_clause,[],[f35188,f67384])).
% 59.37/10.05  tff(f67384,plain,(
% 59.37/10.05    spl2737_633 <=> dvd(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_633])])).
% 59.37/10.05  tff(f35188,plain,(
% 59.37/10.05    dvd(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9226])).
% 59.37/10.05  tff(f9226,axiom,(
% 59.37/10.05    dvd(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Odvd_108)).
% 59.37/10.05  tff(f67382,plain,(
% 59.37/10.05    spl2737_632),
% 59.37/10.05    inference(avatar_split_clause,[],[f35187,f67379])).
% 59.37/10.05  tff(f67379,plain,(
% 59.37/10.05    spl2737_632 <=> dvd(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_632])])).
% 59.37/10.05  tff(f35187,plain,(
% 59.37/10.05    dvd(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9129])).
% 59.37/10.05  tff(f9129,axiom,(
% 59.37/10.05    dvd(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Odvd)).
% 59.37/10.05  tff(f67377,plain,(
% 59.37/10.05    spl2737_631),
% 59.37/10.05    inference(avatar_split_clause,[],[f35186,f67374])).
% 59.37/10.05  tff(f67374,plain,(
% 59.37/10.05    spl2737_631 <=> dvd(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_631])])).
% 59.37/10.05  tff(f35186,plain,(
% 59.37/10.05    dvd(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9510])).
% 59.37/10.05  tff(f9510,axiom,(
% 59.37/10.05    dvd(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Odvd_358)).
% 59.37/10.05  tff(f67372,plain,(
% 59.37/10.05    spl2737_630),
% 59.37/10.05    inference(avatar_split_clause,[],[f35185,f67369])).
% 59.37/10.05  tff(f67369,plain,(
% 59.37/10.05    spl2737_630 <=> dvd(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_630])])).
% 59.37/10.05  tff(f35185,plain,(
% 59.37/10.05    dvd(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9332])).
% 59.37/10.05  tff(f9332,axiom,(
% 59.37/10.05    dvd(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Odvd_202)).
% 59.37/10.05  tff(f67367,plain,(
% 59.37/10.05    spl2737_629),
% 59.37/10.05    inference(avatar_split_clause,[],[f35184,f67364])).
% 59.37/10.05  tff(f67364,plain,(
% 59.37/10.05    spl2737_629 <=> dvd(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_629])])).
% 59.37/10.05  tff(f35184,plain,(
% 59.37/10.05    dvd(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9800])).
% 59.37/10.05  tff(f9800,axiom,(
% 59.37/10.05    dvd(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Odvd_647)).
% 59.37/10.05  tff(f67362,plain,(
% 59.37/10.05    spl2737_628),
% 59.37/10.05    inference(avatar_split_clause,[],[f35183,f67359])).
% 59.37/10.05  tff(f67359,plain,(
% 59.37/10.05    spl2737_628 <=> dvd(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_628])])).
% 59.37/10.05  tff(f35183,plain,(
% 59.37/10.05    dvd(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9869])).
% 59.37/10.05  tff(f9869,axiom,(
% 59.37/10.05    dvd(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Odvd_716)).
% 59.37/10.05  tff(f67357,plain,(
% 59.37/10.05    spl2737_627),
% 59.37/10.05    inference(avatar_split_clause,[],[f35182,f67354])).
% 59.37/10.05  tff(f67354,plain,(
% 59.37/10.05    spl2737_627 <=> dvd(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_627])])).
% 59.37/10.05  tff(f35182,plain,(
% 59.37/10.05    dvd(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9615])).
% 59.37/10.05  tff(f9615,axiom,(
% 59.37/10.05    dvd(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Odvd_463)).
% 59.37/10.05  tff(f67352,plain,(
% 59.37/10.05    spl2737_626),
% 59.37/10.05    inference(avatar_split_clause,[],[f35181,f67349])).
% 59.37/10.05  tff(f67349,plain,(
% 59.37/10.05    spl2737_626 <=> dvd(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_626])])).
% 59.37/10.05  tff(f35181,plain,(
% 59.37/10.05    dvd(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9672])).
% 59.37/10.05  tff(f9672,axiom,(
% 59.37/10.05    dvd(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Odvd_519)).
% 59.37/10.05  tff(f67347,plain,(
% 59.37/10.05    spl2737_625),
% 59.37/10.05    inference(avatar_split_clause,[],[f35180,f67344])).
% 59.37/10.05  tff(f35180,plain,(
% 59.37/10.05    zero_neq_one(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9204])).
% 59.37/10.05  tff(f9204,axiom,(
% 59.37/10.05    zero_neq_one(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__neq__one_86)).
% 59.37/10.05  tff(f67342,plain,(
% 59.37/10.05    spl2737_624),
% 59.37/10.05    inference(avatar_split_clause,[],[f35179,f67339])).
% 59.37/10.05  tff(f35179,plain,(
% 59.37/10.05    zero_neq_one(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9090])).
% 59.37/10.05  tff(f9090,axiom,(
% 59.37/10.05    zero_neq_one(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__neq__one)).
% 59.37/10.05  tff(f67337,plain,(
% 59.37/10.05    spl2737_623),
% 59.37/10.05    inference(avatar_split_clause,[],[f35178,f67334])).
% 59.37/10.05  tff(f35178,plain,(
% 59.37/10.05    zero_neq_one(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9473])).
% 59.37/10.05  tff(f9473,axiom,(
% 59.37/10.05    zero_neq_one(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__neq__one_322)).
% 59.37/10.05  tff(f67332,plain,(
% 59.37/10.05    spl2737_622),
% 59.37/10.05    inference(avatar_split_clause,[],[f35177,f67329])).
% 59.37/10.05  tff(f35177,plain,(
% 59.37/10.05    zero_neq_one(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9296])).
% 59.37/10.05  tff(f9296,axiom,(
% 59.37/10.05    zero_neq_one(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ozero__neq__one_168)).
% 59.37/10.05  tff(f67327,plain,(
% 59.37/10.05    spl2737_621),
% 59.37/10.05    inference(avatar_split_clause,[],[f35176,f67324])).
% 59.37/10.05  tff(f35176,plain,(
% 59.37/10.05    zero_neq_one(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9767])).
% 59.37/10.05  tff(f9767,axiom,(
% 59.37/10.05    zero_neq_one(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__neq__one_614)).
% 59.37/10.05  tff(f67322,plain,(
% 59.37/10.05    spl2737_620),
% 59.37/10.05    inference(avatar_split_clause,[],[f35175,f67319])).
% 59.37/10.05  tff(f35175,plain,(
% 59.37/10.05    zero_neq_one(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9851])).
% 59.37/10.05  tff(f9851,axiom,(
% 59.37/10.05    zero_neq_one(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Ozero__neq__one_698)).
% 59.37/10.05  tff(f67317,plain,(
% 59.37/10.05    spl2737_619),
% 59.37/10.05    inference(avatar_split_clause,[],[f35174,f67314])).
% 59.37/10.05  tff(f35174,plain,(
% 59.37/10.05    zero_neq_one(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9588])).
% 59.37/10.05  tff(f9588,axiom,(
% 59.37/10.05    zero_neq_one(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ozero__neq__one_436)).
% 59.37/10.05  tff(f67312,plain,(
% 59.37/10.05    spl2737_618),
% 59.37/10.05    inference(avatar_split_clause,[],[f35173,f67309])).
% 59.37/10.05  tff(f35173,plain,(
% 59.37/10.05    zero_neq_one(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9654])).
% 59.37/10.05  tff(f9654,axiom,(
% 59.37/10.05    zero_neq_one(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__neq__one_501)).
% 59.37/10.05  tff(f67307,plain,(
% 59.37/10.05    spl2737_617),
% 59.37/10.05    inference(avatar_split_clause,[],[f35172,f67304])).
% 59.37/10.05  tff(f67304,plain,(
% 59.37/10.05    spl2737_617 <=> semiring_numeral(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_617])])).
% 59.37/10.05  tff(f35172,plain,(
% 59.37/10.05    semiring_numeral(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9197])).
% 59.37/10.05  tff(f9197,axiom,(
% 59.37/10.05    semiring_numeral(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Osemiring__numeral_80)).
% 59.37/10.05  tff(f67302,plain,(
% 59.37/10.05    spl2737_616),
% 59.37/10.05    inference(avatar_split_clause,[],[f35171,f67299])).
% 59.37/10.05  tff(f67299,plain,(
% 59.37/10.05    spl2737_616 <=> semiring_numeral(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_616])])).
% 59.37/10.05  tff(f35171,plain,(
% 59.37/10.05    semiring_numeral(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9084])).
% 59.37/10.05  tff(f9084,axiom,(
% 59.37/10.05    semiring_numeral(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Osemiring__numeral)).
% 59.37/10.05  tff(f67297,plain,(
% 59.37/10.05    spl2737_615),
% 59.37/10.05    inference(avatar_split_clause,[],[f35170,f67294])).
% 59.37/10.05  tff(f67294,plain,(
% 59.37/10.05    spl2737_615 <=> semiring_numeral(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_615])])).
% 59.37/10.05  tff(f35170,plain,(
% 59.37/10.05    semiring_numeral(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9464])).
% 59.37/10.05  tff(f9464,axiom,(
% 59.37/10.05    semiring_numeral(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Osemiring__numeral_313)).
% 59.37/10.05  tff(f67292,plain,(
% 59.37/10.05    spl2737_614),
% 59.37/10.05    inference(avatar_split_clause,[],[f35169,f67289])).
% 59.37/10.05  tff(f67289,plain,(
% 59.37/10.05    spl2737_614 <=> semiring_numeral(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_614])])).
% 59.37/10.05  tff(f35169,plain,(
% 59.37/10.05    semiring_numeral(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9287])).
% 59.37/10.05  tff(f9287,axiom,(
% 59.37/10.05    semiring_numeral(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Osemiring__numeral_162)).
% 59.37/10.05  tff(f67287,plain,(
% 59.37/10.05    spl2737_613),
% 59.37/10.05    inference(avatar_split_clause,[],[f35168,f67284])).
% 59.37/10.05  tff(f67284,plain,(
% 59.37/10.05    spl2737_613 <=> semiring_numeral(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_613])])).
% 59.37/10.05  tff(f35168,plain,(
% 59.37/10.05    semiring_numeral(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9761])).
% 59.37/10.05  tff(f9761,axiom,(
% 59.37/10.05    semiring_numeral(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Osemiring__numeral_608)).
% 59.37/10.05  tff(f67282,plain,(
% 59.37/10.05    spl2737_612),
% 59.37/10.05    inference(avatar_split_clause,[],[f35167,f67279])).
% 59.37/10.05  tff(f67279,plain,(
% 59.37/10.05    spl2737_612 <=> semiring_numeral(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_612])])).
% 59.37/10.05  tff(f35167,plain,(
% 59.37/10.05    semiring_numeral(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9846])).
% 59.37/10.05  tff(f9846,axiom,(
% 59.37/10.05    semiring_numeral(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Num_Osemiring__numeral_693)).
% 59.37/10.05  tff(f67277,plain,(
% 59.37/10.05    spl2737_611),
% 59.37/10.05    inference(avatar_split_clause,[],[f35166,f67274])).
% 59.37/10.05  tff(f67274,plain,(
% 59.37/10.05    spl2737_611 <=> semiring_numeral(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_611])])).
% 59.37/10.05  tff(f35166,plain,(
% 59.37/10.05    semiring_numeral(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9580])).
% 59.37/10.05  tff(f9580,axiom,(
% 59.37/10.05    semiring_numeral(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Osemiring__numeral_428)).
% 59.37/10.05  tff(f67272,plain,(
% 59.37/10.05    spl2737_610),
% 59.37/10.05    inference(avatar_split_clause,[],[f35165,f67269])).
% 59.37/10.05  tff(f67269,plain,(
% 59.37/10.05    spl2737_610 <=> semiring_numeral(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_610])])).
% 59.37/10.05  tff(f35165,plain,(
% 59.37/10.05    semiring_numeral(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9646])).
% 59.37/10.05  tff(f9646,axiom,(
% 59.37/10.05    semiring_numeral(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Osemiring__numeral_493)).
% 59.37/10.05  tff(f67267,plain,(
% 59.37/10.05    spl2737_609),
% 59.37/10.05    inference(avatar_split_clause,[],[f35164,f67264])).
% 59.37/10.05  tff(f67264,plain,(
% 59.37/10.05    spl2737_609 <=> power(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_609])])).
% 59.37/10.05  tff(f35164,plain,(
% 59.37/10.05    power(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9221])).
% 59.37/10.05  tff(f9221,axiom,(
% 59.37/10.05    power(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Power_Opower_103)).
% 59.37/10.05  tff(f67262,plain,(
% 59.37/10.05    spl2737_608),
% 59.37/10.05    inference(avatar_split_clause,[],[f35163,f67259])).
% 59.37/10.05  tff(f67259,plain,(
% 59.37/10.05    spl2737_608 <=> power(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_608])])).
% 59.37/10.05  tff(f35163,plain,(
% 59.37/10.05    power(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9122])).
% 59.37/10.05  tff(f9122,axiom,(
% 59.37/10.05    power(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Power_Opower)).
% 59.37/10.05  tff(f67257,plain,(
% 59.37/10.05    spl2737_607),
% 59.37/10.05    inference(avatar_split_clause,[],[f35162,f67254])).
% 59.37/10.05  tff(f67254,plain,(
% 59.37/10.05    spl2737_607 <=> power(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_607])])).
% 59.37/10.05  tff(f35162,plain,(
% 59.37/10.05    power(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9503])).
% 59.37/10.05  tff(f9503,axiom,(
% 59.37/10.05    power(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Power_Opower_351)).
% 59.37/10.05  tff(f67252,plain,(
% 59.37/10.05    spl2737_606),
% 59.37/10.05    inference(avatar_split_clause,[],[f35161,f67249])).
% 59.37/10.05  tff(f67249,plain,(
% 59.37/10.05    spl2737_606 <=> power(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_606])])).
% 59.37/10.05  tff(f35161,plain,(
% 59.37/10.05    power(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9325])).
% 59.37/10.05  tff(f9325,axiom,(
% 59.37/10.05    power(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Power_Opower_195)).
% 59.37/10.05  tff(f67247,plain,(
% 59.37/10.05    spl2737_605),
% 59.37/10.05    inference(avatar_split_clause,[],[f35160,f67244])).
% 59.37/10.05  tff(f67244,plain,(
% 59.37/10.05    spl2737_605 <=> power(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_605])])).
% 59.37/10.05  tff(f35160,plain,(
% 59.37/10.05    power(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9793])).
% 59.37/10.05  tff(f9793,axiom,(
% 59.37/10.05    power(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Power_Opower_640)).
% 59.37/10.05  tff(f67242,plain,(
% 59.37/10.05    spl2737_604),
% 59.37/10.05    inference(avatar_split_clause,[],[f35159,f67239])).
% 59.37/10.05  tff(f67239,plain,(
% 59.37/10.05    spl2737_604 <=> power(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_604])])).
% 59.37/10.05  tff(f35159,plain,(
% 59.37/10.05    power(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9864])).
% 59.37/10.05  tff(f9864,axiom,(
% 59.37/10.05    power(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Power_Opower_711)).
% 59.37/10.05  tff(f67237,plain,(
% 59.37/10.05    spl2737_603),
% 59.37/10.05    inference(avatar_split_clause,[],[f35158,f67234])).
% 59.37/10.05  tff(f67234,plain,(
% 59.37/10.05    spl2737_603 <=> power(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_603])])).
% 59.37/10.05  tff(f35158,plain,(
% 59.37/10.05    power(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9608])).
% 59.37/10.05  tff(f9608,axiom,(
% 59.37/10.05    power(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Power_Opower_456)).
% 59.37/10.05  tff(f67232,plain,(
% 59.37/10.05    spl2737_602),
% 59.37/10.05    inference(avatar_split_clause,[],[f35157,f67229])).
% 59.37/10.05  tff(f67229,plain,(
% 59.37/10.05    spl2737_602 <=> power(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_602])])).
% 59.37/10.05  tff(f35157,plain,(
% 59.37/10.05    power(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9667])).
% 59.37/10.05  tff(f9667,axiom,(
% 59.37/10.05    power(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Power_Opower_514)).
% 59.37/10.05  tff(f67227,plain,(
% 59.37/10.05    spl2737_601),
% 59.37/10.05    inference(avatar_split_clause,[],[f35156,f67224])).
% 59.37/10.05  tff(f67224,plain,(
% 59.37/10.05    spl2737_601 <=> comm_semiring_0(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_601])])).
% 59.37/10.05  tff(f35156,plain,(
% 59.37/10.05    comm_semiring_0(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9193])).
% 59.37/10.05  tff(f9193,axiom,(
% 59.37/10.05    comm_semiring_0(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__0_76)).
% 59.37/10.05  tff(f67222,plain,(
% 59.37/10.05    spl2737_600),
% 59.37/10.05    inference(avatar_split_clause,[],[f35155,f67219])).
% 59.37/10.05  tff(f67219,plain,(
% 59.37/10.05    spl2737_600 <=> comm_semiring_0(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_600])])).
% 59.37/10.05  tff(f35155,plain,(
% 59.37/10.05    comm_semiring_0(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9080])).
% 59.37/10.05  tff(f9080,axiom,(
% 59.37/10.05    comm_semiring_0(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__0)).
% 59.37/10.05  tff(f67217,plain,(
% 59.37/10.05    spl2737_599),
% 59.37/10.05    inference(avatar_split_clause,[],[f35154,f67214])).
% 59.37/10.05  tff(f67214,plain,(
% 59.37/10.05    spl2737_599 <=> comm_semiring_0(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_599])])).
% 59.37/10.05  tff(f35154,plain,(
% 59.37/10.05    comm_semiring_0(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9460])).
% 59.37/10.05  tff(f9460,axiom,(
% 59.37/10.05    comm_semiring_0(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__0_309)).
% 59.37/10.05  tff(f67212,plain,(
% 59.37/10.05    spl2737_598),
% 59.37/10.05    inference(avatar_split_clause,[],[f35153,f67209])).
% 59.37/10.05  tff(f67209,plain,(
% 59.37/10.05    spl2737_598 <=> comm_semiring_0(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_598])])).
% 59.37/10.05  tff(f35153,plain,(
% 59.37/10.05    comm_semiring_0(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9283])).
% 59.37/10.05  tff(f9283,axiom,(
% 59.37/10.05    comm_semiring_0(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__0_159)).
% 59.37/10.05  tff(f67207,plain,(
% 59.37/10.05    spl2737_597),
% 59.37/10.05    inference(avatar_split_clause,[],[f35152,f67204])).
% 59.37/10.05  tff(f67204,plain,(
% 59.37/10.05    spl2737_597 <=> comm_semiring_0(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_597])])).
% 59.37/10.05  tff(f35152,plain,(
% 59.37/10.05    comm_semiring_0(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9757])).
% 59.37/10.05  tff(f9757,axiom,(
% 59.37/10.05    comm_semiring_0(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__0_604)).
% 59.37/10.05  tff(f67202,plain,(
% 59.37/10.05    spl2737_596),
% 59.37/10.05    inference(avatar_split_clause,[],[f35151,f67199])).
% 59.37/10.05  tff(f67199,plain,(
% 59.37/10.05    spl2737_596 <=> comm_semiring_0(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_596])])).
% 59.37/10.05  tff(f35151,plain,(
% 59.37/10.05    comm_semiring_0(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9842])).
% 59.37/10.05  tff(f9842,axiom,(
% 59.37/10.05    comm_semiring_0(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Ocomm__semiring__0_689)).
% 59.37/10.05  tff(f67197,plain,(
% 59.37/10.05    spl2737_595),
% 59.37/10.05    inference(avatar_split_clause,[],[f35150,f67194])).
% 59.37/10.05  tff(f67194,plain,(
% 59.37/10.05    spl2737_595 <=> comm_semiring_0(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_595])])).
% 59.37/10.05  tff(f35150,plain,(
% 59.37/10.05    comm_semiring_0(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9577])).
% 59.37/10.05  tff(f9577,axiom,(
% 59.37/10.05    comm_semiring_0(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__0_425)).
% 59.37/10.05  tff(f67192,plain,(
% 59.37/10.05    spl2737_594),
% 59.37/10.05    inference(avatar_split_clause,[],[f35149,f67189])).
% 59.37/10.05  tff(f67189,plain,(
% 59.37/10.05    spl2737_594 <=> comm_semiring_0(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_594])])).
% 59.37/10.05  tff(f35149,plain,(
% 59.37/10.05    comm_semiring_0(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9644])).
% 59.37/10.05  tff(f9644,axiom,(
% 59.37/10.05    comm_semiring_0(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__0_491)).
% 59.37/10.05  tff(f67187,plain,(
% 59.37/10.05    spl2737_593),
% 59.37/10.05    inference(avatar_split_clause,[],[f35148,f67184])).
% 59.37/10.05  tff(f67184,plain,(
% 59.37/10.05    spl2737_593 <=> semiring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_593])])).
% 59.37/10.05  tff(f35148,plain,(
% 59.37/10.05    semiring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9217])).
% 59.37/10.05  tff(f9217,axiom,(
% 59.37/10.05    semiring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring_99)).
% 59.37/10.05  tff(f67182,plain,(
% 59.37/10.05    spl2737_592),
% 59.37/10.05    inference(avatar_split_clause,[],[f35147,f67179])).
% 59.37/10.05  tff(f67179,plain,(
% 59.37/10.05    spl2737_592 <=> semiring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_592])])).
% 59.37/10.05  tff(f35147,plain,(
% 59.37/10.05    semiring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9114])).
% 59.37/10.05  tff(f9114,axiom,(
% 59.37/10.05    semiring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring)).
% 59.37/10.05  tff(f67177,plain,(
% 59.37/10.05    spl2737_591),
% 59.37/10.05    inference(avatar_split_clause,[],[f35146,f67174])).
% 59.37/10.05  tff(f67174,plain,(
% 59.37/10.05    spl2737_591 <=> semiring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_591])])).
% 59.37/10.05  tff(f35146,plain,(
% 59.37/10.05    semiring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9494])).
% 59.37/10.05  tff(f9494,axiom,(
% 59.37/10.05    semiring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring_342)).
% 59.37/10.05  tff(f67172,plain,(
% 59.37/10.05    spl2737_590),
% 59.37/10.05    inference(avatar_split_clause,[],[f35145,f67169])).
% 59.37/10.05  tff(f67169,plain,(
% 59.37/10.05    spl2737_590 <=> semiring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_590])])).
% 59.37/10.05  tff(f35145,plain,(
% 59.37/10.05    semiring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9316])).
% 59.37/10.05  tff(f9316,axiom,(
% 59.37/10.05    semiring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring_188)).
% 59.37/10.05  tff(f67167,plain,(
% 59.37/10.05    spl2737_589),
% 59.37/10.05    inference(avatar_split_clause,[],[f35144,f67164])).
% 59.37/10.05  tff(f67164,plain,(
% 59.37/10.05    spl2737_589 <=> semiring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_589])])).
% 59.37/10.05  tff(f35144,plain,(
% 59.37/10.05    semiring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9786])).
% 59.37/10.05  tff(f9786,axiom,(
% 59.37/10.05    semiring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring_633)).
% 59.37/10.05  tff(f67162,plain,(
% 59.37/10.05    spl2737_588),
% 59.37/10.05    inference(avatar_split_clause,[],[f35143,f67159])).
% 59.37/10.05  tff(f67159,plain,(
% 59.37/10.05    spl2737_588 <=> semiring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_588])])).
% 59.37/10.05  tff(f35143,plain,(
% 59.37/10.05    semiring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9860])).
% 59.37/10.05  tff(f9860,axiom,(
% 59.37/10.05    semiring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring_707)).
% 59.37/10.05  tff(f67157,plain,(
% 59.37/10.05    spl2737_587),
% 59.37/10.05    inference(avatar_split_clause,[],[f35142,f67154])).
% 59.37/10.05  tff(f67154,plain,(
% 59.37/10.05    spl2737_587 <=> semiring(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_587])])).
% 59.37/10.05  tff(f35142,plain,(
% 59.37/10.05    semiring(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9601])).
% 59.37/10.05  tff(f9601,axiom,(
% 59.37/10.05    semiring(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring_449)).
% 59.37/10.05  tff(f67152,plain,(
% 59.37/10.05    spl2737_586),
% 59.37/10.05    inference(avatar_split_clause,[],[f35141,f67149])).
% 59.37/10.05  tff(f67149,plain,(
% 59.37/10.05    spl2737_586 <=> semiring(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_586])])).
% 59.37/10.05  tff(f35141,plain,(
% 59.37/10.05    semiring(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9664])).
% 59.37/10.05  tff(f9664,axiom,(
% 59.37/10.05    semiring(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring_511)).
% 59.37/10.05  tff(f67147,plain,(
% 59.37/10.05    spl2737_585),
% 59.37/10.05    inference(avatar_split_clause,[],[f35140,f67144])).
% 59.37/10.05  tff(f67144,plain,(
% 59.37/10.05    spl2737_585 <=> semiri3467727345109120633visors(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_585])])).
% 59.37/10.05  tff(f35140,plain,(
% 59.37/10.05    semiri3467727345109120633visors(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9162])).
% 59.37/10.05  tff(f9162,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors_46)).
% 59.37/10.05  tff(f67142,plain,(
% 59.37/10.05    spl2737_584),
% 59.37/10.05    inference(avatar_split_clause,[],[f35139,f67139])).
% 59.37/10.05  tff(f67139,plain,(
% 59.37/10.05    spl2737_584 <=> semiri3467727345109120633visors(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_584])])).
% 59.37/10.05  tff(f35139,plain,(
% 59.37/10.05    semiri3467727345109120633visors(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9041])).
% 59.37/10.05  tff(f9041,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors)).
% 59.37/10.05  tff(f67137,plain,(
% 59.37/10.05    spl2737_583),
% 59.37/10.05    inference(avatar_split_clause,[],[f35138,f67134])).
% 59.37/10.05  tff(f67134,plain,(
% 59.37/10.05    spl2737_583 <=> semiri3467727345109120633visors(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_583])])).
% 59.37/10.05  tff(f35138,plain,(
% 59.37/10.05    semiri3467727345109120633visors(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9417])).
% 59.37/10.05  tff(f9417,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors_274)).
% 59.37/10.05  tff(f67132,plain,(
% 59.37/10.05    spl2737_582),
% 59.37/10.05    inference(avatar_split_clause,[],[f35137,f67129])).
% 59.37/10.05  tff(f67129,plain,(
% 59.37/10.05    spl2737_582 <=> semiri3467727345109120633visors(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_582])])).
% 59.37/10.05  tff(f35137,plain,(
% 59.37/10.05    semiri3467727345109120633visors(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9250])).
% 59.37/10.05  tff(f9250,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__no__zero__divisors_129)).
% 59.37/10.05  tff(f67127,plain,(
% 59.37/10.05    spl2737_581),
% 59.37/10.05    inference(avatar_split_clause,[],[f35136,f67124])).
% 59.37/10.05  tff(f67124,plain,(
% 59.37/10.05    spl2737_581 <=> semiri3467727345109120633visors(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_581])])).
% 59.37/10.05  tff(f35136,plain,(
% 59.37/10.05    semiri3467727345109120633visors(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9726])).
% 59.37/10.05  tff(f9726,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors_573)).
% 59.37/10.05  tff(f67122,plain,(
% 59.37/10.05    spl2737_580),
% 59.37/10.05    inference(avatar_split_clause,[],[f35135,f67119])).
% 59.37/10.05  tff(f67119,plain,(
% 59.37/10.05    spl2737_580 <=> semiri3467727345109120633visors(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_580])])).
% 59.37/10.05  tff(f35135,plain,(
% 59.37/10.05    semiri3467727345109120633visors(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9819])).
% 59.37/10.05  tff(f9819,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring__no__zero__divisors_666)).
% 59.37/10.05  tff(f67117,plain,(
% 59.37/10.05    spl2737_579),
% 59.37/10.05    inference(avatar_split_clause,[],[f35134,f67114])).
% 59.37/10.05  tff(f67114,plain,(
% 59.37/10.05    spl2737_579 <=> semiri3467727345109120633visors(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_579])])).
% 59.37/10.05  tff(f35134,plain,(
% 59.37/10.05    semiri3467727345109120633visors(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9555])).
% 59.37/10.05  tff(f9555,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors_403)).
% 59.37/10.05  tff(f67112,plain,(
% 59.37/10.05    spl2737_578),
% 59.37/10.05    inference(avatar_split_clause,[],[f35133,f67109])).
% 59.37/10.05  tff(f67109,plain,(
% 59.37/10.05    spl2737_578 <=> semiri3467727345109120633visors(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_578])])).
% 59.37/10.05  tff(f35133,plain,(
% 59.37/10.05    semiri3467727345109120633visors(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9629])).
% 59.37/10.05  tff(f9629,axiom,(
% 59.37/10.05    semiri3467727345109120633visors(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__no__zero__divisors_476)).
% 59.37/10.05  tff(f67107,plain,(
% 59.37/10.05    spl2737_577),
% 59.37/10.05    inference(avatar_split_clause,[],[f35132,f67104])).
% 59.37/10.05  tff(f67104,plain,(
% 59.37/10.05    spl2737_577 <=> mult_zero(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_577])])).
% 59.37/10.05  tff(f35132,plain,(
% 59.37/10.05    mult_zero(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9215])).
% 59.37/10.05  tff(f9215,axiom,(
% 59.37/10.05    mult_zero(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Omult__zero_97)).
% 59.37/10.05  tff(f67102,plain,(
% 59.37/10.05    spl2737_576),
% 59.37/10.05    inference(avatar_split_clause,[],[f35131,f67099])).
% 59.37/10.05  tff(f67099,plain,(
% 59.37/10.05    spl2737_576 <=> ab_semigroup_mult(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_576])])).
% 59.37/10.05  tff(f35131,plain,(
% 59.37/10.05    ab_semigroup_mult(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9182])).
% 59.37/10.05  tff(f9182,axiom,(
% 59.37/10.05    ab_semigroup_mult(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__mult_66)).
% 59.37/10.05  tff(f67097,plain,(
% 59.37/10.05    spl2737_575),
% 59.37/10.05    inference(avatar_split_clause,[],[f35130,f67094])).
% 59.37/10.05  tff(f67094,plain,(
% 59.37/10.05    spl2737_575 <=> mult_zero(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_575])])).
% 59.37/10.05  tff(f35130,plain,(
% 59.37/10.05    mult_zero(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9109])).
% 59.37/10.05  tff(f9109,axiom,(
% 59.37/10.05    mult_zero(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Omult__zero)).
% 59.37/10.05  tff(f67092,plain,(
% 59.37/10.05    spl2737_574),
% 59.37/10.05    inference(avatar_split_clause,[],[f35129,f67089])).
% 59.37/10.05  tff(f67089,plain,(
% 59.37/10.05    spl2737_574 <=> ab_semigroup_mult(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_574])])).
% 59.37/10.05  tff(f35129,plain,(
% 59.37/10.05    ab_semigroup_mult(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9067])).
% 59.37/10.05  tff(f9067,axiom,(
% 59.37/10.05    ab_semigroup_mult(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__mult)).
% 59.37/10.05  tff(f67087,plain,(
% 59.37/10.05    spl2737_573),
% 59.37/10.05    inference(avatar_split_clause,[],[f35128,f67084])).
% 59.37/10.05  tff(f67084,plain,(
% 59.37/10.05    spl2737_573 <=> ab_semigroup_mult(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_573])])).
% 59.37/10.05  tff(f35128,plain,(
% 59.37/10.05    ab_semigroup_mult(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9449])).
% 59.37/10.05  tff(f9449,axiom,(
% 59.37/10.05    ab_semigroup_mult(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__mult_298)).
% 59.37/10.05  tff(f67082,plain,(
% 59.37/10.05    spl2737_572),
% 59.37/10.05    inference(avatar_split_clause,[],[f35127,f67079])).
% 59.37/10.05  tff(f35127,plain,(
% 59.37/10.05    mult_zero(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9489])).
% 59.37/10.05  tff(f9489,axiom,(
% 59.37/10.05    mult_zero(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Omult__zero_337)).
% 59.37/10.05  tff(f67077,plain,(
% 59.37/10.05    spl2737_571),
% 59.37/10.05    inference(avatar_split_clause,[],[f35126,f67074])).
% 59.37/10.05  tff(f67074,plain,(
% 59.37/10.05    spl2737_571 <=> ab_semigroup_mult(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_571])])).
% 59.37/10.05  tff(f35126,plain,(
% 59.37/10.05    ab_semigroup_mult(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9272])).
% 59.37/10.05  tff(f9272,axiom,(
% 59.37/10.05    ab_semigroup_mult(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__mult_149)).
% 59.37/10.05  tff(f67072,plain,(
% 59.37/10.05    spl2737_570),
% 59.37/10.05    inference(avatar_split_clause,[],[f35125,f67069])).
% 59.37/10.05  tff(f67069,plain,(
% 59.37/10.05    spl2737_570 <=> mult_zero(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_570])])).
% 59.37/10.05  tff(f35125,plain,(
% 59.37/10.05    mult_zero(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9311])).
% 59.37/10.05  tff(f9311,axiom,(
% 59.37/10.05    mult_zero(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Omult__zero_183)).
% 59.37/10.05  tff(f67067,plain,(
% 59.37/10.05    spl2737_569),
% 59.37/10.05    inference(avatar_split_clause,[],[f35124,f67064])).
% 59.37/10.05  tff(f67064,plain,(
% 59.37/10.05    spl2737_569 <=> ab_semigroup_mult(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_569])])).
% 59.37/10.05  tff(f35124,plain,(
% 59.37/10.05    ab_semigroup_mult(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9744])).
% 59.37/10.05  tff(f9744,axiom,(
% 59.37/10.05    ab_semigroup_mult(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__mult_591)).
% 59.37/10.05  tff(f67062,plain,(
% 59.37/10.05    spl2737_568),
% 59.37/10.05    inference(avatar_split_clause,[],[f35123,f67059])).
% 59.37/10.05  tff(f67059,plain,(
% 59.37/10.05    spl2737_568 <=> mult_zero(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_568])])).
% 59.37/10.05  tff(f35123,plain,(
% 59.37/10.05    mult_zero(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9781])).
% 59.37/10.05  tff(f9781,axiom,(
% 59.37/10.05    mult_zero(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Omult__zero_628)).
% 59.37/10.05  tff(f67057,plain,(
% 59.37/10.05    spl2737_567),
% 59.37/10.05    inference(avatar_split_clause,[],[f35122,f67054])).
% 59.37/10.05  tff(f67054,plain,(
% 59.37/10.05    spl2737_567 <=> mult_zero(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_567])])).
% 59.37/10.05  tff(f35122,plain,(
% 59.37/10.05    mult_zero(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9858])).
% 59.37/10.05  tff(f9858,axiom,(
% 59.37/10.05    mult_zero(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Omult__zero_705)).
% 59.37/10.05  tff(f67052,plain,(
% 59.37/10.05    spl2737_566),
% 59.37/10.05    inference(avatar_split_clause,[],[f35121,f67049])).
% 59.37/10.05  tff(f67049,plain,(
% 59.37/10.05    spl2737_566 <=> ab_semigroup_mult(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_566])])).
% 59.37/10.05  tff(f35121,plain,(
% 59.37/10.05    ab_semigroup_mult(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9831])).
% 59.37/10.05  tff(f9831,axiom,(
% 59.37/10.05    ab_semigroup_mult(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oab__semigroup__mult_678)).
% 59.37/10.05  tff(f67047,plain,(
% 59.37/10.05    spl2737_565),
% 59.37/10.05    inference(avatar_split_clause,[],[f35120,f67044])).
% 59.37/10.05  tff(f67044,plain,(
% 59.37/10.05    spl2737_565 <=> ab_semigroup_mult(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_565])])).
% 59.37/10.05  tff(f35120,plain,(
% 59.37/10.05    ab_semigroup_mult(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9571])).
% 59.37/10.05  tff(f9571,axiom,(
% 59.37/10.05    ab_semigroup_mult(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__mult_419)).
% 59.37/10.05  tff(f67042,plain,(
% 59.37/10.05    spl2737_564),
% 59.37/10.05    inference(avatar_split_clause,[],[f35119,f67039])).
% 59.37/10.05  tff(f67039,plain,(
% 59.37/10.05    spl2737_564 <=> mult_zero(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_564])])).
% 59.37/10.05  tff(f35119,plain,(
% 59.37/10.05    mult_zero(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9597])).
% 59.37/10.05  tff(f9597,axiom,(
% 59.37/10.05    mult_zero(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Omult__zero_445)).
% 59.37/10.05  tff(f67037,plain,(
% 59.37/10.05    spl2737_563),
% 59.37/10.05    inference(avatar_split_clause,[],[f35118,f67034])).
% 59.37/10.05  tff(f67034,plain,(
% 59.37/10.05    spl2737_563 <=> ab_semigroup_mult(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_563])])).
% 59.37/10.05  tff(f35118,plain,(
% 59.37/10.05    ab_semigroup_mult(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9638])).
% 59.37/10.05  tff(f9638,axiom,(
% 59.37/10.05    ab_semigroup_mult(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__mult_485)).
% 59.37/10.05  tff(f67032,plain,(
% 59.37/10.05    spl2737_562),
% 59.37/10.05    inference(avatar_split_clause,[],[f35117,f67029])).
% 59.37/10.05  tff(f67029,plain,(
% 59.37/10.05    spl2737_562 <=> mult_zero(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_562])])).
% 59.37/10.05  tff(f35117,plain,(
% 59.37/10.05    mult_zero(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9662])).
% 59.37/10.05  tff(f9662,axiom,(
% 59.37/10.05    mult_zero(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Omult__zero_509)).
% 59.37/10.05  tff(f67027,plain,(
% 59.37/10.05    spl2737_561),
% 59.37/10.05    inference(avatar_split_clause,[],[f35116,f67024])).
% 59.37/10.05  tff(f67024,plain,(
% 59.37/10.05    spl2737_561 <=> ab_semigroup_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_561])])).
% 59.37/10.05  tff(f35116,plain,(
% 59.37/10.05    ab_semigroup_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9187])).
% 59.37/10.05  tff(f9187,axiom,(
% 59.37/10.05    ab_semigroup_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__add_70)).
% 59.37/10.05  tff(f67022,plain,(
% 59.37/10.05    spl2737_560),
% 59.37/10.05    inference(avatar_split_clause,[],[f35115,f67019])).
% 59.37/10.05  tff(f67019,plain,(
% 59.37/10.05    spl2737_560 <=> ab_semigroup_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_560])])).
% 59.37/10.05  tff(f35115,plain,(
% 59.37/10.05    ab_semigroup_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9071])).
% 59.37/10.05  tff(f9071,axiom,(
% 59.37/10.05    ab_semigroup_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__add)).
% 59.37/10.05  tff(f67017,plain,(
% 59.37/10.05    spl2737_559),
% 59.37/10.05    inference(avatar_split_clause,[],[f35114,f67014])).
% 59.37/10.05  tff(f67014,plain,(
% 59.37/10.05    spl2737_559 <=> ab_semigroup_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_559])])).
% 59.37/10.05  tff(f35114,plain,(
% 59.37/10.05    ab_semigroup_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9452])).
% 59.37/10.05  tff(f9452,axiom,(
% 59.37/10.05    ab_semigroup_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__add_301)).
% 59.37/10.05  tff(f67012,plain,(
% 59.37/10.05    spl2737_558),
% 59.37/10.05    inference(avatar_split_clause,[],[f35113,f67009])).
% 59.37/10.05  tff(f67009,plain,(
% 59.37/10.05    spl2737_558 <=> ab_semigroup_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_558])])).
% 59.37/10.05  tff(f35113,plain,(
% 59.37/10.05    ab_semigroup_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9275])).
% 59.37/10.05  tff(f9275,axiom,(
% 59.37/10.05    ab_semigroup_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__add_152)).
% 59.37/10.05  tff(f67007,plain,(
% 59.37/10.05    spl2737_557),
% 59.37/10.05    inference(avatar_split_clause,[],[f35112,f67004])).
% 59.37/10.05  tff(f67004,plain,(
% 59.37/10.05    spl2737_557 <=> ab_semigroup_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_557])])).
% 59.37/10.05  tff(f35112,plain,(
% 59.37/10.05    ab_semigroup_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9748])).
% 59.37/10.05  tff(f9748,axiom,(
% 59.37/10.05    ab_semigroup_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__add_595)).
% 59.37/10.05  tff(f67002,plain,(
% 59.37/10.05    spl2737_556),
% 59.37/10.05    inference(avatar_split_clause,[],[f35111,f66999])).
% 59.37/10.05  tff(f66999,plain,(
% 59.37/10.05    spl2737_556 <=> ab_semigroup_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_556])])).
% 59.37/10.05  tff(f35111,plain,(
% 59.37/10.05    ab_semigroup_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9836])).
% 59.37/10.05  tff(f9836,axiom,(
% 59.37/10.05    ab_semigroup_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oab__semigroup__add_683)).
% 59.37/10.05  tff(f66997,plain,(
% 59.37/10.05    spl2737_555),
% 59.37/10.05    inference(avatar_split_clause,[],[f35110,f66994])).
% 59.37/10.05  tff(f66994,plain,(
% 59.37/10.05    spl2737_555 <=> ab_semigroup_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_555])])).
% 59.37/10.05  tff(f35110,plain,(
% 59.37/10.05    ab_semigroup_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9574])).
% 59.37/10.05  tff(f9574,axiom,(
% 59.37/10.05    ab_semigroup_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__add_422)).
% 59.37/10.05  tff(f66992,plain,(
% 59.37/10.05    spl2737_554),
% 59.37/10.05    inference(avatar_split_clause,[],[f35109,f66989])).
% 59.37/10.05  tff(f66989,plain,(
% 59.37/10.05    spl2737_554 <=> ab_semigroup_add(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_554])])).
% 59.37/10.05  tff(f35109,plain,(
% 59.37/10.05    ab_semigroup_add(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9640])).
% 59.37/10.05  tff(f9640,axiom,(
% 59.37/10.05    ab_semigroup_add(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__add_487)).
% 59.37/10.05  tff(f66987,plain,(
% 59.37/10.05    spl2737_553),
% 59.37/10.05    inference(avatar_split_clause,[],[f35108,f66984])).
% 59.37/10.05  tff(f66984,plain,(
% 59.37/10.05    spl2737_553 <=> semigroup_mult(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_553])])).
% 59.37/10.05  tff(f35108,plain,(
% 59.37/10.05    semigroup_mult(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9194])).
% 59.37/10.05  tff(f9194,axiom,(
% 59.37/10.05    semigroup_mult(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__mult_77)).
% 59.37/10.05  tff(f66982,plain,(
% 59.37/10.05    spl2737_552),
% 59.37/10.05    inference(avatar_split_clause,[],[f35107,f66979])).
% 59.37/10.05  tff(f66979,plain,(
% 59.37/10.05    spl2737_552 <=> one(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_552])])).
% 59.37/10.05  tff(f35107,plain,(
% 59.37/10.05    one(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9225])).
% 59.37/10.05  tff(f9225,axiom,(
% 59.37/10.05    one(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oone_107)).
% 59.37/10.05  tff(f66977,plain,(
% 59.37/10.05    spl2737_551),
% 59.37/10.05    inference(avatar_split_clause,[],[f35106,f66974])).
% 59.37/10.05  tff(f66974,plain,(
% 59.37/10.05    spl2737_551 <=> semigroup_mult(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_551])])).
% 59.37/10.05  tff(f35106,plain,(
% 59.37/10.05    semigroup_mult(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9081])).
% 59.37/10.05  tff(f9081,axiom,(
% 59.37/10.05    semigroup_mult(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__mult)).
% 59.37/10.05  tff(f66972,plain,(
% 59.37/10.05    spl2737_550),
% 59.37/10.05    inference(avatar_split_clause,[],[f35105,f66969])).
% 59.37/10.05  tff(f66969,plain,(
% 59.37/10.05    spl2737_550 <=> one(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_550])])).
% 59.37/10.05  tff(f35105,plain,(
% 59.37/10.05    one(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9128])).
% 59.37/10.05  tff(f9128,axiom,(
% 59.37/10.05    one(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oone)).
% 59.37/10.05  tff(f66967,plain,(
% 59.37/10.05    spl2737_549),
% 59.37/10.05    inference(avatar_split_clause,[],[f35104,f66964])).
% 59.37/10.05  tff(f66964,plain,(
% 59.37/10.05    spl2737_549 <=> one(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_549])])).
% 59.37/10.05  tff(f35104,plain,(
% 59.37/10.05    one(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9509])).
% 59.37/10.05  tff(f9509,axiom,(
% 59.37/10.05    one(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oone_357)).
% 59.37/10.05  tff(f66962,plain,(
% 59.37/10.05    spl2737_548),
% 59.37/10.05    inference(avatar_split_clause,[],[f35103,f66959])).
% 59.37/10.05  tff(f66959,plain,(
% 59.37/10.05    spl2737_548 <=> semigroup_mult(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_548])])).
% 59.37/10.05  tff(f35103,plain,(
% 59.37/10.05    semigroup_mult(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9462])).
% 59.37/10.05  tff(f9462,axiom,(
% 59.37/10.05    semigroup_mult(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__mult_311)).
% 59.37/10.05  tff(f66957,plain,(
% 59.37/10.05    spl2737_547),
% 59.37/10.05    inference(avatar_split_clause,[],[f35102,f66954])).
% 59.37/10.05  tff(f66954,plain,(
% 59.37/10.05    spl2737_547 <=> one(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_547])])).
% 59.37/10.05  tff(f35102,plain,(
% 59.37/10.05    one(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9331])).
% 59.37/10.05  tff(f9331,axiom,(
% 59.37/10.05    one(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oone_201)).
% 59.37/10.05  tff(f66952,plain,(
% 59.37/10.05    spl2737_546),
% 59.37/10.05    inference(avatar_split_clause,[],[f35101,f66949])).
% 59.37/10.05  tff(f66949,plain,(
% 59.37/10.05    spl2737_546 <=> semigroup_mult(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_546])])).
% 59.37/10.05  tff(f35101,plain,(
% 59.37/10.05    semigroup_mult(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9285])).
% 59.37/10.05  tff(f9285,axiom,(
% 59.37/10.05    semigroup_mult(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__mult_160)).
% 59.37/10.05  tff(f66947,plain,(
% 59.37/10.05    spl2737_545),
% 59.37/10.05    inference(avatar_split_clause,[],[f35100,f66944])).
% 59.37/10.05  tff(f66944,plain,(
% 59.37/10.05    spl2737_545 <=> one(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_545])])).
% 59.37/10.05  tff(f35100,plain,(
% 59.37/10.05    one(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9799])).
% 59.37/10.05  tff(f9799,axiom,(
% 59.37/10.05    one(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oone_646)).
% 59.37/10.05  tff(f66942,plain,(
% 59.37/10.05    spl2737_544),
% 59.37/10.05    inference(avatar_split_clause,[],[f35099,f66939])).
% 59.37/10.05  tff(f66939,plain,(
% 59.37/10.05    spl2737_544 <=> semigroup_mult(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_544])])).
% 59.37/10.05  tff(f35099,plain,(
% 59.37/10.05    semigroup_mult(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9758])).
% 59.37/10.05  tff(f9758,axiom,(
% 59.37/10.05    semigroup_mult(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__mult_605)).
% 59.37/10.05  tff(f66937,plain,(
% 59.37/10.05    spl2737_543),
% 59.37/10.05    inference(avatar_split_clause,[],[f35098,f66934])).
% 59.37/10.05  tff(f66934,plain,(
% 59.37/10.05    spl2737_543 <=> one(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_543])])).
% 59.37/10.05  tff(f35098,plain,(
% 59.37/10.05    one(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9868])).
% 59.37/10.05  tff(f9868,axiom,(
% 59.37/10.05    one(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oone_715)).
% 59.37/10.05  tff(f66932,plain,(
% 59.37/10.05    spl2737_542),
% 59.37/10.05    inference(avatar_split_clause,[],[f35097,f66929])).
% 59.37/10.05  tff(f66929,plain,(
% 59.37/10.05    spl2737_542 <=> semigroup_mult(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_542])])).
% 59.37/10.05  tff(f35097,plain,(
% 59.37/10.05    semigroup_mult(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9843])).
% 59.37/10.05  tff(f9843,axiom,(
% 59.37/10.05    semigroup_mult(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Osemigroup__mult_690)).
% 59.37/10.05  tff(f66927,plain,(
% 59.37/10.05    spl2737_541),
% 59.37/10.05    inference(avatar_split_clause,[],[f35096,f66924])).
% 59.37/10.05  tff(f66924,plain,(
% 59.37/10.05    spl2737_541 <=> one(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_541])])).
% 59.37/10.05  tff(f35096,plain,(
% 59.37/10.05    one(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9614])).
% 59.37/10.05  tff(f9614,axiom,(
% 59.37/10.05    one(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oone_462)).
% 59.37/10.05  tff(f66922,plain,(
% 59.37/10.05    spl2737_540),
% 59.37/10.05    inference(avatar_split_clause,[],[f35095,f66919])).
% 59.37/10.05  tff(f66919,plain,(
% 59.37/10.05    spl2737_540 <=> semigroup_mult(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_540])])).
% 59.37/10.05  tff(f35095,plain,(
% 59.37/10.05    semigroup_mult(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9578])).
% 59.37/10.05  tff(f9578,axiom,(
% 59.37/10.05    semigroup_mult(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__mult_426)).
% 59.37/10.05  tff(f66917,plain,(
% 59.37/10.05    spl2737_539),
% 59.37/10.05    inference(avatar_split_clause,[],[f35094,f66914])).
% 59.37/10.05  tff(f66914,plain,(
% 59.37/10.05    spl2737_539 <=> semigroup_mult(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_539])])).
% 59.37/10.05  tff(f35094,plain,(
% 59.37/10.05    semigroup_mult(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9645])).
% 59.37/10.05  tff(f9645,axiom,(
% 59.37/10.05    semigroup_mult(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__mult_492)).
% 59.37/10.05  tff(f66912,plain,(
% 59.37/10.05    spl2737_538),
% 59.37/10.05    inference(avatar_split_clause,[],[f35093,f66909])).
% 59.37/10.05  tff(f66909,plain,(
% 59.37/10.05    spl2737_538 <=> one(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_538])])).
% 59.37/10.05  tff(f35093,plain,(
% 59.37/10.05    one(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9671])).
% 59.37/10.05  tff(f9671,axiom,(
% 59.37/10.05    one(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oone_518)).
% 59.37/10.05  tff(f66907,plain,(
% 59.37/10.05    spl2737_537),
% 59.37/10.05    inference(avatar_split_clause,[],[f35092,f66904])).
% 59.37/10.05  tff(f66904,plain,(
% 59.37/10.05    spl2737_537 <=> semiring_0(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_537])])).
% 59.37/10.05  tff(f35092,plain,(
% 59.37/10.05    semiring_0(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9210])).
% 59.37/10.05  tff(f9210,axiom,(
% 59.37/10.05    semiring_0(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__0_92)).
% 59.37/10.05  tff(f66902,plain,(
% 59.37/10.05    spl2737_536),
% 59.37/10.05    inference(avatar_split_clause,[],[f35091,f66899])).
% 59.37/10.05  tff(f66899,plain,(
% 59.37/10.05    spl2737_536 <=> comm_semiring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_536])])).
% 59.37/10.05  tff(f35091,plain,(
% 59.37/10.05    comm_semiring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9200])).
% 59.37/10.05  tff(f9200,axiom,(
% 59.37/10.05    comm_semiring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring_83)).
% 59.37/10.05  tff(f66897,plain,(
% 59.37/10.05    spl2737_535),
% 59.37/10.05    inference(avatar_split_clause,[],[f35090,f66894])).
% 59.37/10.05  tff(f66894,plain,(
% 59.37/10.05    spl2737_535 <=> comm_semiring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_535])])).
% 59.37/10.05  tff(f35090,plain,(
% 59.37/10.05    comm_semiring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9087])).
% 59.37/10.05  tff(f9087,axiom,(
% 59.37/10.05    comm_semiring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring)).
% 59.37/10.05  tff(f66892,plain,(
% 59.37/10.05    spl2737_534),
% 59.37/10.05    inference(avatar_split_clause,[],[f35089,f66889])).
% 59.37/10.05  tff(f66889,plain,(
% 59.37/10.05    spl2737_534 <=> semiring_0(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_534])])).
% 59.37/10.05  tff(f35089,plain,(
% 59.37/10.05    semiring_0(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9102])).
% 59.37/10.05  tff(f9102,axiom,(
% 59.37/10.05    semiring_0(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__0)).
% 59.37/10.05  tff(f66887,plain,(
% 59.37/10.05    spl2737_533),
% 59.37/10.05    inference(avatar_split_clause,[],[f35088,f66884])).
% 59.37/10.05  tff(f66884,plain,(
% 59.37/10.05    spl2737_533 <=> semiring_0(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_533])])).
% 59.37/10.05  tff(f35088,plain,(
% 59.37/10.05    semiring_0(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9484])).
% 59.37/10.05  tff(f9484,axiom,(
% 59.37/10.05    semiring_0(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__0_332)).
% 59.37/10.05  tff(f66882,plain,(
% 59.37/10.05    spl2737_532),
% 59.37/10.05    inference(avatar_split_clause,[],[f35087,f66879])).
% 59.37/10.05  tff(f66879,plain,(
% 59.37/10.05    spl2737_532 <=> comm_semiring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_532])])).
% 59.37/10.05  tff(f35087,plain,(
% 59.37/10.05    comm_semiring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9469])).
% 59.37/10.05  tff(f9469,axiom,(
% 59.37/10.05    comm_semiring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring_318)).
% 59.37/10.05  tff(f66877,plain,(
% 59.37/10.05    spl2737_531),
% 59.37/10.05    inference(avatar_split_clause,[],[f35086,f66874])).
% 59.37/10.05  tff(f66874,plain,(
% 59.37/10.05    spl2737_531 <=> comm_semiring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_531])])).
% 59.37/10.05  tff(f35086,plain,(
% 59.37/10.05    comm_semiring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9292])).
% 59.37/10.05  tff(f9292,axiom,(
% 59.37/10.05    comm_semiring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring_165)).
% 59.37/10.05  tff(f66872,plain,(
% 59.37/10.05    spl2737_530),
% 59.37/10.05    inference(avatar_split_clause,[],[f35085,f66869])).
% 59.37/10.05  tff(f66869,plain,(
% 59.37/10.05    spl2737_530 <=> semiring_0(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_530])])).
% 59.37/10.05  tff(f35085,plain,(
% 59.37/10.05    semiring_0(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9306])).
% 59.37/10.05  tff(f9306,axiom,(
% 59.37/10.05    semiring_0(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__0_178)).
% 59.37/10.05  tff(f66867,plain,(
% 59.37/10.05    spl2737_529),
% 59.37/10.05    inference(avatar_split_clause,[],[f35084,f66864])).
% 59.37/10.05  tff(f66864,plain,(
% 59.37/10.05    spl2737_529 <=> comm_semiring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_529])])).
% 59.37/10.05  tff(f35084,plain,(
% 59.37/10.05    comm_semiring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9764])).
% 59.37/10.05  tff(f9764,axiom,(
% 59.37/10.05    comm_semiring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring_611)).
% 59.37/10.05  tff(f66862,plain,(
% 59.37/10.05    spl2737_528),
% 59.37/10.05    inference(avatar_split_clause,[],[f35083,f66859])).
% 59.37/10.05  tff(f66859,plain,(
% 59.37/10.05    spl2737_528 <=> semiring_0(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_528])])).
% 59.37/10.05  tff(f35083,plain,(
% 59.37/10.05    semiring_0(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9779])).
% 59.37/10.05  tff(f9779,axiom,(
% 59.37/10.05    semiring_0(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__0_626)).
% 59.37/10.05  tff(f66857,plain,(
% 59.37/10.05    spl2737_527),
% 59.37/10.05    inference(avatar_split_clause,[],[f35082,f66854])).
% 59.37/10.05  tff(f66854,plain,(
% 59.37/10.05    spl2737_527 <=> comm_semiring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_527])])).
% 59.37/10.05  tff(f35082,plain,(
% 59.37/10.05    comm_semiring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9849])).
% 59.37/10.05  tff(f9849,axiom,(
% 59.37/10.05    comm_semiring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Ocomm__semiring_696)).
% 59.37/10.05  tff(f66852,plain,(
% 59.37/10.05    spl2737_526),
% 59.37/10.05    inference(avatar_split_clause,[],[f35081,f66849])).
% 59.37/10.05  tff(f66849,plain,(
% 59.37/10.05    spl2737_526 <=> semiring_0(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_526])])).
% 59.37/10.05  tff(f35081,plain,(
% 59.37/10.05    semiring_0(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9857])).
% 59.37/10.05  tff(f9857,axiom,(
% 59.37/10.05    semiring_0(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring__0_704)).
% 59.37/10.05  tff(f66847,plain,(
% 59.37/10.05    spl2737_525),
% 59.37/10.05    inference(avatar_split_clause,[],[f35080,f66844])).
% 59.37/10.05  tff(f66844,plain,(
% 59.37/10.05    spl2737_525 <=> comm_semiring(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_525])])).
% 59.37/10.05  tff(f35080,plain,(
% 59.37/10.05    comm_semiring(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9584])).
% 59.37/10.05  tff(f9584,axiom,(
% 59.37/10.05    comm_semiring(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring_432)).
% 59.37/10.05  tff(f66842,plain,(
% 59.37/10.05    spl2737_524),
% 59.37/10.05    inference(avatar_split_clause,[],[f35079,f66839])).
% 59.37/10.05  tff(f66839,plain,(
% 59.37/10.05    spl2737_524 <=> semiring_0(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_524])])).
% 59.37/10.05  tff(f35079,plain,(
% 59.37/10.05    semiring_0(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9595])).
% 59.37/10.05  tff(f9595,axiom,(
% 59.37/10.05    semiring_0(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__0_443)).
% 59.37/10.05  tff(f66837,plain,(
% 59.37/10.05    spl2737_523),
% 59.37/10.05    inference(avatar_split_clause,[],[f35078,f66834])).
% 59.37/10.05  tff(f66834,plain,(
% 59.37/10.05    spl2737_523 <=> semiring_0(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_523])])).
% 59.37/10.05  tff(f35078,plain,(
% 59.37/10.05    semiring_0(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9660])).
% 59.37/10.05  tff(f9660,axiom,(
% 59.37/10.05    semiring_0(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__0_507)).
% 59.37/10.05  tff(f66832,plain,(
% 59.37/10.05    spl2737_522),
% 59.37/10.05    inference(avatar_split_clause,[],[f35077,f66829])).
% 59.37/10.05  tff(f66829,plain,(
% 59.37/10.05    spl2737_522 <=> comm_semiring(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_522])])).
% 59.37/10.05  tff(f35077,plain,(
% 59.37/10.05    comm_semiring(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9649])).
% 59.37/10.05  tff(f9649,axiom,(
% 59.37/10.05    comm_semiring(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring_496)).
% 59.37/10.05  tff(f66827,plain,(
% 59.37/10.05    spl2737_521),
% 59.37/10.05    inference(avatar_split_clause,[],[f35076,f66824])).
% 59.37/10.05  tff(f66824,plain,(
% 59.37/10.05    spl2737_521 <=> linord181362715937106298miring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_521])])).
% 59.37/10.05  tff(f35076,plain,(
% 59.37/10.05    linord181362715937106298miring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9158])).
% 59.37/10.05  tff(f9158,axiom,(
% 59.37/10.05    linord181362715937106298miring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__nonzero__semiring_42)).
% 59.37/10.05  tff(f66822,plain,(
% 59.37/10.05    spl2737_520),
% 59.37/10.05    inference(avatar_split_clause,[],[f35075,f66819])).
% 59.37/10.05  tff(f66819,plain,(
% 59.37/10.05    spl2737_520 <=> linord181362715937106298miring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_520])])).
% 59.37/10.05  tff(f35075,plain,(
% 59.37/10.05    linord181362715937106298miring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9036])).
% 59.37/10.05  tff(f9036,axiom,(
% 59.37/10.05    linord181362715937106298miring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__nonzero__semiring)).
% 59.37/10.05  tff(f66817,plain,(
% 59.37/10.05    spl2737_519),
% 59.37/10.05    inference(avatar_split_clause,[],[f35074,f66814])).
% 59.37/10.05  tff(f66814,plain,(
% 59.37/10.05    spl2737_519 <=> linord181362715937106298miring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_519])])).
% 59.37/10.05  tff(f35074,plain,(
% 59.37/10.05    linord181362715937106298miring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9411])).
% 59.37/10.05  tff(f9411,axiom,(
% 59.37/10.05    linord181362715937106298miring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__nonzero__semiring_271)).
% 59.37/10.05  tff(f66812,plain,(
% 59.37/10.05    spl2737_518),
% 59.37/10.05    inference(avatar_split_clause,[],[f35073,f66809])).
% 59.37/10.05  tff(f66809,plain,(
% 59.37/10.05    spl2737_518 <=> linord181362715937106298miring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_518])])).
% 59.37/10.05  tff(f35073,plain,(
% 59.37/10.05    linord181362715937106298miring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9248])).
% 59.37/10.05  tff(f9248,axiom,(
% 59.37/10.05    linord181362715937106298miring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__nonzero__semiring_127)).
% 59.37/10.05  tff(f66807,plain,(
% 59.37/10.05    spl2737_517),
% 59.37/10.05    inference(avatar_split_clause,[],[f35072,f66804])).
% 59.37/10.05  tff(f66804,plain,(
% 59.37/10.05    spl2737_517 <=> linord181362715937106298miring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_517])])).
% 59.37/10.05  tff(f35072,plain,(
% 59.37/10.05    linord181362715937106298miring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9723])).
% 59.37/10.05  tff(f9723,axiom,(
% 59.37/10.05    linord181362715937106298miring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__nonzero__semiring_570)).
% 59.37/10.05  tff(f66802,plain,(
% 59.37/10.05    spl2737_516),
% 59.37/10.05    inference(avatar_split_clause,[],[f35071,f66799])).
% 59.37/10.05  tff(f66799,plain,(
% 59.37/10.05    spl2737_516 <=> linord181362715937106298miring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_516])])).
% 59.37/10.05  tff(f35071,plain,(
% 59.37/10.05    linord181362715937106298miring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9817])).
% 59.37/10.05  tff(f9817,axiom,(
% 59.37/10.05    linord181362715937106298miring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Olinordered__nonzero__semiring_664)).
% 59.37/10.05  tff(f66797,plain,(
% 59.37/10.05    spl2737_515),
% 59.37/10.05    inference(avatar_split_clause,[],[f35070,f66794])).
% 59.37/10.05  tff(f66794,plain,(
% 59.37/10.05    spl2737_515 <=> linord181362715937106298miring(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_515])])).
% 59.37/10.05  tff(f35070,plain,(
% 59.37/10.05    linord181362715937106298miring(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9628])).
% 59.37/10.05  tff(f9628,axiom,(
% 59.37/10.05    linord181362715937106298miring(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Olinordered__nonzero__semiring_475)).
% 59.37/10.05  tff(f66792,plain,(
% 59.37/10.05    spl2737_514),
% 59.37/10.05    inference(avatar_split_clause,[],[f35069,f66789])).
% 59.37/10.05  tff(f66789,plain,(
% 59.37/10.05    spl2737_514 <=> ordere6911136660526730532id_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_514])])).
% 59.37/10.05  tff(f35069,plain,(
% 59.37/10.05    ordere6911136660526730532id_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9166])).
% 59.37/10.05  tff(f9166,axiom,(
% 59.37/10.05    ordere6911136660526730532id_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__comm__monoid__add_50)).
% 59.37/10.05  tff(f66787,plain,(
% 59.37/10.05    spl2737_513),
% 59.37/10.05    inference(avatar_split_clause,[],[f35068,f66784])).
% 59.37/10.05  tff(f66784,plain,(
% 59.37/10.05    spl2737_513 <=> ordere6911136660526730532id_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_513])])).
% 59.37/10.05  tff(f35068,plain,(
% 59.37/10.05    ordere6911136660526730532id_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9046])).
% 59.37/10.05  tff(f9046,axiom,(
% 59.37/10.05    ordere6911136660526730532id_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__comm__monoid__add)).
% 59.37/10.05  tff(f66782,plain,(
% 59.37/10.05    spl2737_512),
% 59.37/10.05    inference(avatar_split_clause,[],[f35067,f66779])).
% 59.37/10.05  tff(f66779,plain,(
% 59.37/10.05    spl2737_512 <=> ordere6911136660526730532id_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_512])])).
% 59.37/10.05  tff(f35067,plain,(
% 59.37/10.05    ordere6911136660526730532id_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9425])).
% 59.37/10.05  tff(f9425,axiom,(
% 59.37/10.05    ordere6911136660526730532id_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__comm__monoid__add_278)).
% 59.37/10.05  tff(f66777,plain,(
% 59.37/10.05    spl2737_511),
% 59.37/10.05    inference(avatar_split_clause,[],[f35066,f66774])).
% 59.37/10.05  tff(f66774,plain,(
% 59.37/10.05    spl2737_511 <=> ordere6911136660526730532id_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_511])])).
% 59.37/10.05  tff(f35066,plain,(
% 59.37/10.05    ordere6911136660526730532id_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9254])).
% 59.37/10.05  tff(f9254,axiom,(
% 59.37/10.05    ordere6911136660526730532id_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__comm__monoid__add_132)).
% 59.37/10.05  tff(f66772,plain,(
% 59.37/10.05    spl2737_510),
% 59.37/10.05    inference(avatar_split_clause,[],[f35065,f66769])).
% 59.37/10.05  tff(f66769,plain,(
% 59.37/10.05    spl2737_510 <=> ordere6911136660526730532id_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_510])])).
% 59.37/10.05  tff(f35065,plain,(
% 59.37/10.05    ordere6911136660526730532id_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9729])).
% 59.37/10.05  tff(f9729,axiom,(
% 59.37/10.05    ordere6911136660526730532id_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__comm__monoid__add_576)).
% 59.37/10.05  tff(f66767,plain,(
% 59.37/10.05    spl2737_509),
% 59.37/10.05    inference(avatar_split_clause,[],[f35064,f66764])).
% 59.37/10.05  tff(f66764,plain,(
% 59.37/10.05    spl2737_509 <=> ordere6911136660526730532id_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_509])])).
% 59.37/10.05  tff(f35064,plain,(
% 59.37/10.05    ordere6911136660526730532id_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9821])).
% 59.37/10.05  tff(f9821,axiom,(
% 59.37/10.05    ordere6911136660526730532id_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oordered__comm__monoid__add_668)).
% 59.37/10.05  tff(f66762,plain,(
% 59.37/10.05    spl2737_508),
% 59.37/10.05    inference(avatar_split_clause,[],[f35063,f66759])).
% 59.37/10.05  tff(f66759,plain,(
% 59.37/10.05    spl2737_508 <=> ordere6911136660526730532id_add(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_508])])).
% 59.37/10.05  tff(f35063,plain,(
% 59.37/10.05    ordere6911136660526730532id_add(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9631])).
% 59.37/10.05  tff(f9631,axiom,(
% 59.37/10.05    ordere6911136660526730532id_add(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__comm__monoid__add_478)).
% 59.37/10.05  tff(f66757,plain,(
% 59.37/10.05    spl2737_507),
% 59.37/10.05    inference(avatar_split_clause,[],[f35062,f66754])).
% 59.37/10.05  tff(f66754,plain,(
% 59.37/10.05    spl2737_507 <=> semidom_divide(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_507])])).
% 59.37/10.05  tff(f35062,plain,(
% 59.37/10.05    semidom_divide(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9196])).
% 59.37/10.05  tff(f9196,axiom,(
% 59.37/10.05    semidom_divide(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__divide_79)).
% 59.37/10.05  tff(f66752,plain,(
% 59.37/10.05    spl2737_506),
% 59.37/10.05    inference(avatar_split_clause,[],[f35061,f66749])).
% 59.37/10.05  tff(f66749,plain,(
% 59.37/10.05    spl2737_506 <=> semidom_divide(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_506])])).
% 59.37/10.05  tff(f35061,plain,(
% 59.37/10.05    semidom_divide(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9083])).
% 59.37/10.05  tff(f9083,axiom,(
% 59.37/10.05    semidom_divide(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__divide)).
% 59.37/10.05  tff(f66747,plain,(
% 59.37/10.05    spl2737_505),
% 59.37/10.05    inference(avatar_split_clause,[],[f35060,f66744])).
% 59.37/10.05  tff(f66744,plain,(
% 59.37/10.05    spl2737_505 <=> semidom_divide(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_505])])).
% 59.37/10.05  tff(f35060,plain,(
% 59.37/10.05    semidom_divide(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9463])).
% 59.37/10.05  tff(f9463,axiom,(
% 59.37/10.05    semidom_divide(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemidom__divide_312)).
% 59.37/10.05  tff(f66742,plain,(
% 59.37/10.05    spl2737_504),
% 59.37/10.05    inference(avatar_split_clause,[],[f35059,f66739])).
% 59.37/10.05  tff(f66739,plain,(
% 59.37/10.05    spl2737_504 <=> semidom_divide(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_504])])).
% 59.37/10.05  tff(f35059,plain,(
% 59.37/10.05    semidom_divide(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9286])).
% 59.37/10.05  tff(f9286,axiom,(
% 59.37/10.05    semidom_divide(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemidom__divide_161)).
% 59.37/10.05  tff(f66737,plain,(
% 59.37/10.05    spl2737_503),
% 59.37/10.05    inference(avatar_split_clause,[],[f35058,f66734])).
% 59.37/10.05  tff(f66734,plain,(
% 59.37/10.05    spl2737_503 <=> semidom_divide(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_503])])).
% 59.37/10.05  tff(f35058,plain,(
% 59.37/10.05    semidom_divide(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9760])).
% 59.37/10.05  tff(f9760,axiom,(
% 59.37/10.05    semidom_divide(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__divide_607)).
% 59.37/10.05  tff(f66732,plain,(
% 59.37/10.05    spl2737_502),
% 59.37/10.05    inference(avatar_split_clause,[],[f35057,f66729])).
% 59.37/10.05  tff(f66729,plain,(
% 59.37/10.05    spl2737_502 <=> semidom_divide(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_502])])).
% 59.37/10.05  tff(f35057,plain,(
% 59.37/10.05    semidom_divide(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9845])).
% 59.37/10.05  tff(f9845,axiom,(
% 59.37/10.05    semidom_divide(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemidom__divide_692)).
% 59.37/10.05  tff(f66727,plain,(
% 59.37/10.05    spl2737_501),
% 59.37/10.05    inference(avatar_split_clause,[],[f35056,f66724])).
% 59.37/10.05  tff(f66724,plain,(
% 59.37/10.05    spl2737_501 <=> semidom_divide(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_501])])).
% 59.37/10.05  tff(f35056,plain,(
% 59.37/10.05    semidom_divide(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9579])).
% 59.37/10.05  tff(f9579,axiom,(
% 59.37/10.05    semidom_divide(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemidom__divide_427)).
% 59.37/10.05  tff(f66722,plain,(
% 59.37/10.05    spl2737_500),
% 59.37/10.05    inference(avatar_split_clause,[],[f35055,f66719])).
% 59.37/10.05  tff(f66719,plain,(
% 59.37/10.05    spl2737_500 <=> order_bot(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_500])])).
% 59.37/10.05  tff(f35055,plain,(
% 59.37/10.05    order_bot(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9202])).
% 59.37/10.05  tff(f9202,axiom,(
% 59.37/10.05    order_bot(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder__bot_84)).
% 59.37/10.05  tff(f66717,plain,(
% 59.37/10.05    spl2737_499),
% 59.37/10.05    inference(avatar_split_clause,[],[f35054,f66714])).
% 59.37/10.05  tff(f66714,plain,(
% 59.37/10.05    spl2737_499 <=> order_bot(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_499])])).
% 59.37/10.05  tff(f35054,plain,(
% 59.37/10.05    order_bot(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9372])).
% 59.37/10.05  tff(f9372,axiom,(
% 59.37/10.05    order_bot(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__bot_242)).
% 59.37/10.05  tff(f66712,plain,(
% 59.37/10.05    spl2737_498),
% 59.37/10.05    inference(avatar_split_clause,[],[f35053,f66709])).
% 59.37/10.05  tff(f66709,plain,(
% 59.37/10.05    spl2737_498 <=> order_bot(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_498])])).
% 59.37/10.05  tff(f35053,plain,(
% 59.37/10.05    order_bot(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9652])).
% 59.37/10.05  tff(f9652,axiom,(
% 59.37/10.05    order_bot(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__bot_499)).
% 59.37/10.05  tff(f66707,plain,(
% 59.37/10.05    spl2737_497),
% 59.37/10.05    inference(avatar_split_clause,[],[f35052,f66704])).
% 59.37/10.05  tff(f66704,plain,(
% 59.37/10.05    spl2737_497 <=> order_bot(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_497])])).
% 59.37/10.05  tff(f35052,plain,(
% 59.37/10.05    order_bot(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9693])).
% 59.37/10.05  tff(f9693,axiom,(
% 59.37/10.05    order_bot(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__bot_540)).
% 59.37/10.05  tff(f66702,plain,(
% 59.37/10.05    spl2737_496),
% 59.37/10.05    inference(avatar_split_clause,[],[f35051,f66699])).
% 59.37/10.05  tff(f66699,plain,(
% 59.37/10.05    spl2737_496 <=> ordere6658533253407199908up_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_496])])).
% 59.37/10.05  tff(f35051,plain,(
% 59.37/10.05    ordere6658533253407199908up_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9163])).
% 59.37/10.05  tff(f9163,axiom,(
% 59.37/10.05    ordere6658533253407199908up_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add_47)).
% 59.37/10.05  tff(f66697,plain,(
% 59.37/10.05    spl2737_495),
% 59.37/10.05    inference(avatar_split_clause,[],[f35050,f66694])).
% 59.37/10.05  tff(f66694,plain,(
% 59.37/10.05    spl2737_495 <=> cancel_semigroup_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_495])])).
% 59.37/10.05  tff(f35050,plain,(
% 59.37/10.05    cancel_semigroup_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9175])).
% 59.37/10.05  tff(f9175,axiom,(
% 59.37/10.05    cancel_semigroup_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__semigroup__add_59)).
% 59.37/10.05  tff(f66692,plain,(
% 59.37/10.05    spl2737_494),
% 59.37/10.05    inference(avatar_split_clause,[],[f35049,f66689])).
% 59.37/10.05  tff(f66689,plain,(
% 59.37/10.05    spl2737_494 <=> cancel_semigroup_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_494])])).
% 59.37/10.05  tff(f35049,plain,(
% 59.37/10.05    cancel_semigroup_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9060])).
% 59.37/10.05  tff(f9060,axiom,(
% 59.37/10.05    cancel_semigroup_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__semigroup__add)).
% 59.37/10.05  tff(f66687,plain,(
% 59.37/10.05    spl2737_493),
% 59.37/10.05    inference(avatar_split_clause,[],[f35048,f66684])).
% 59.37/10.05  tff(f66684,plain,(
% 59.37/10.05    spl2737_493 <=> ordere6658533253407199908up_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_493])])).
% 59.37/10.05  tff(f35048,plain,(
% 59.37/10.05    ordere6658533253407199908up_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9042])).
% 59.37/10.05  tff(f9042,axiom,(
% 59.37/10.05    ordere6658533253407199908up_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add)).
% 59.37/10.05  tff(f66682,plain,(
% 59.37/10.05    spl2737_492),
% 59.37/10.05    inference(avatar_split_clause,[],[f35047,f66679])).
% 59.37/10.05  tff(f66679,plain,(
% 59.37/10.05    spl2737_492 <=> ordere6658533253407199908up_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_492])])).
% 59.37/10.05  tff(f35047,plain,(
% 59.37/10.05    ordere6658533253407199908up_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9421])).
% 59.37/10.05  tff(f9421,axiom,(
% 59.37/10.05    ordere6658533253407199908up_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add_275)).
% 59.37/10.05  tff(f66677,plain,(
% 59.37/10.05    spl2737_491),
% 59.37/10.05    inference(avatar_split_clause,[],[f35046,f66674])).
% 59.37/10.05  tff(f66674,plain,(
% 59.37/10.05    spl2737_491 <=> cancel_semigroup_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_491])])).
% 59.37/10.05  tff(f35046,plain,(
% 59.37/10.05    cancel_semigroup_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9440])).
% 59.37/10.05  tff(f9440,axiom,(
% 59.37/10.05    cancel_semigroup_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__semigroup__add_290)).
% 59.37/10.05  tff(f66672,plain,(
% 59.37/10.05    spl2737_490),
% 59.37/10.05    inference(avatar_split_clause,[],[f35045,f66669])).
% 59.37/10.05  tff(f66669,plain,(
% 59.37/10.05    spl2737_490 <=> ordere6658533253407199908up_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_490])])).
% 59.37/10.05  tff(f35045,plain,(
% 59.37/10.05    ordere6658533253407199908up_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9251])).
% 59.37/10.05  tff(f9251,axiom,(
% 59.37/10.05    ordere6658533253407199908up_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add_130)).
% 59.37/10.05  tff(f66667,plain,(
% 59.37/10.05    spl2737_489),
% 59.37/10.05    inference(avatar_split_clause,[],[f35044,f66664])).
% 59.37/10.05  tff(f66664,plain,(
% 59.37/10.05    spl2737_489 <=> cancel_semigroup_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_489])])).
% 59.37/10.05  tff(f35044,plain,(
% 59.37/10.05    cancel_semigroup_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9264])).
% 59.37/10.05  tff(f9264,axiom,(
% 59.37/10.05    cancel_semigroup_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__semigroup__add_142)).
% 59.37/10.05  tff(f66662,plain,(
% 59.37/10.05    spl2737_488),
% 59.37/10.05    inference(avatar_split_clause,[],[f35043,f66659])).
% 59.37/10.05  tff(f66659,plain,(
% 59.37/10.05    spl2737_488 <=> ordere6658533253407199908up_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_488])])).
% 59.37/10.05  tff(f35043,plain,(
% 59.37/10.05    ordere6658533253407199908up_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9727])).
% 59.37/10.05  tff(f9727,axiom,(
% 59.37/10.05    ordere6658533253407199908up_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add_574)).
% 59.37/10.05  tff(f66657,plain,(
% 59.37/10.05    spl2737_487),
% 59.37/10.05    inference(avatar_split_clause,[],[f35042,f66654])).
% 59.37/10.05  tff(f66654,plain,(
% 59.37/10.05    spl2737_487 <=> cancel_semigroup_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_487])])).
% 59.37/10.05  tff(f35042,plain,(
% 59.37/10.05    cancel_semigroup_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9740])).
% 59.37/10.05  tff(f9740,axiom,(
% 59.37/10.05    cancel_semigroup_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__semigroup__add_587)).
% 59.37/10.05  tff(f66652,plain,(
% 59.37/10.05    spl2737_486),
% 59.37/10.05    inference(avatar_split_clause,[],[f35041,f66649])).
% 59.37/10.05  tff(f66649,plain,(
% 59.37/10.05    spl2737_486 <=> ordere6658533253407199908up_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_486])])).
% 59.37/10.05  tff(f35041,plain,(
% 59.37/10.05    ordere6658533253407199908up_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9820])).
% 59.37/10.05  tff(f9820,axiom,(
% 59.37/10.05    ordere6658533253407199908up_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oordered__ab__semigroup__add_667)).
% 59.37/10.05  tff(f66647,plain,(
% 59.37/10.05    spl2737_485),
% 59.37/10.05    inference(avatar_split_clause,[],[f35040,f66644])).
% 59.37/10.05  tff(f66644,plain,(
% 59.37/10.05    spl2737_485 <=> cancel_semigroup_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_485])])).
% 59.37/10.05  tff(f35040,plain,(
% 59.37/10.05    cancel_semigroup_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9827])).
% 59.37/10.05  tff(f9827,axiom,(
% 59.37/10.05    cancel_semigroup_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ocancel__semigroup__add_674)).
% 59.37/10.05  tff(f66642,plain,(
% 59.37/10.05    spl2737_484),
% 59.37/10.05    inference(avatar_split_clause,[],[f35039,f66639])).
% 59.37/10.05  tff(f66639,plain,(
% 59.37/10.05    spl2737_484 <=> cancel_semigroup_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_484])])).
% 59.37/10.05  tff(f35039,plain,(
% 59.37/10.05    cancel_semigroup_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9569])).
% 59.37/10.05  tff(f9569,axiom,(
% 59.37/10.05    cancel_semigroup_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__semigroup__add_417)).
% 59.37/10.05  tff(f66637,plain,(
% 59.37/10.05    spl2737_483),
% 59.37/10.05    inference(avatar_split_clause,[],[f35038,f66634])).
% 59.37/10.05  tff(f66634,plain,(
% 59.37/10.05    spl2737_483 <=> ordere6658533253407199908up_add(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_483])])).
% 59.37/10.05  tff(f35038,plain,(
% 59.37/10.05    ordere6658533253407199908up_add(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9630])).
% 59.37/10.05  tff(f9630,axiom,(
% 59.37/10.05    ordere6658533253407199908up_add(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__ab__semigroup__add_477)).
% 59.37/10.05  tff(f66632,plain,(
% 59.37/10.05    spl2737_482),
% 59.37/10.05    inference(avatar_split_clause,[],[f35037,f66629])).
% 59.37/10.05  tff(f66629,plain,(
% 59.37/10.05    spl2737_482 <=> cancel1802427076303600483id_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_482])])).
% 59.37/10.05  tff(f35037,plain,(
% 59.37/10.05    cancel1802427076303600483id_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9169])).
% 59.37/10.05  tff(f9169,axiom,(
% 59.37/10.05    cancel1802427076303600483id_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__comm__monoid__add_53)).
% 59.37/10.05  tff(f66627,plain,(
% 59.37/10.05    spl2737_481),
% 59.37/10.05    inference(avatar_split_clause,[],[f35036,f66624])).
% 59.37/10.05  tff(f66624,plain,(
% 59.37/10.05    spl2737_481 <=> comm_s4317794764714335236cancel(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_481])])).
% 59.37/10.05  tff(f35036,plain,(
% 59.37/10.05    comm_s4317794764714335236cancel(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9170])).
% 59.37/10.05  tff(f9170,axiom,(
% 59.37/10.05    comm_s4317794764714335236cancel(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1__cancel_54)).
% 59.37/10.05  tff(f66622,plain,(
% 59.37/10.05    spl2737_480),
% 59.37/10.05    inference(avatar_split_clause,[],[f35035,f66619])).
% 59.37/10.05  tff(f66619,plain,(
% 59.37/10.05    spl2737_480 <=> cancel1802427076303600483id_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_480])])).
% 59.37/10.05  tff(f35035,plain,(
% 59.37/10.05    cancel1802427076303600483id_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9051])).
% 59.37/10.05  tff(f9051,axiom,(
% 59.37/10.05    cancel1802427076303600483id_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__comm__monoid__add)).
% 59.37/10.05  tff(f66617,plain,(
% 59.37/10.05    spl2737_479),
% 59.37/10.05    inference(avatar_split_clause,[],[f35034,f66614])).
% 59.37/10.05  tff(f66614,plain,(
% 59.37/10.05    spl2737_479 <=> comm_s4317794764714335236cancel(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_479])])).
% 59.37/10.05  tff(f35034,plain,(
% 59.37/10.05    comm_s4317794764714335236cancel(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9053])).
% 59.37/10.05  tff(f9053,axiom,(
% 59.37/10.05    comm_s4317794764714335236cancel(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1__cancel)).
% 59.37/10.05  tff(f66612,plain,(
% 59.37/10.05    spl2737_478),
% 59.37/10.05    inference(avatar_split_clause,[],[f35033,f66609])).
% 59.37/10.05  tff(f66609,plain,(
% 59.37/10.05    spl2737_478 <=> comm_s4317794764714335236cancel(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_478])])).
% 59.37/10.05  tff(f35033,plain,(
% 59.37/10.05    comm_s4317794764714335236cancel(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9433])).
% 59.37/10.05  tff(f9433,axiom,(
% 59.37/10.05    comm_s4317794764714335236cancel(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1__cancel_285)).
% 59.37/10.05  tff(f66607,plain,(
% 59.37/10.05    spl2737_477),
% 59.37/10.05    inference(avatar_split_clause,[],[f35032,f66604])).
% 59.37/10.05  tff(f66604,plain,(
% 59.37/10.05    spl2737_477 <=> cancel1802427076303600483id_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_477])])).
% 59.37/10.05  tff(f35032,plain,(
% 59.37/10.05    cancel1802427076303600483id_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9431])).
% 59.37/10.05  tff(f9431,axiom,(
% 59.37/10.05    cancel1802427076303600483id_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add_283)).
% 59.37/10.05  tff(f66602,plain,(
% 59.37/10.05    spl2737_476),
% 59.37/10.05    inference(avatar_split_clause,[],[f35031,f66599])).
% 59.37/10.05  tff(f66599,plain,(
% 59.37/10.05    spl2737_476 <=> comm_s4317794764714335236cancel(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_476])])).
% 59.37/10.05  tff(f35031,plain,(
% 59.37/10.05    comm_s4317794764714335236cancel(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9260])).
% 59.37/10.05  tff(f9260,axiom,(
% 59.37/10.05    comm_s4317794764714335236cancel(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1__cancel_138)).
% 59.37/10.05  tff(f66597,plain,(
% 59.37/10.05    spl2737_475),
% 59.37/10.05    inference(avatar_split_clause,[],[f35030,f66594])).
% 59.37/10.05  tff(f66594,plain,(
% 59.37/10.05    spl2737_475 <=> cancel1802427076303600483id_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_475])])).
% 59.37/10.05  tff(f35030,plain,(
% 59.37/10.05    cancel1802427076303600483id_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9258])).
% 59.37/10.05  tff(f9258,axiom,(
% 59.37/10.05    cancel1802427076303600483id_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__comm__monoid__add_136)).
% 59.37/10.05  tff(f66592,plain,(
% 59.37/10.05    spl2737_474),
% 59.37/10.05    inference(avatar_split_clause,[],[f35029,f66589])).
% 59.37/10.05  tff(f66589,plain,(
% 59.37/10.05    spl2737_474 <=> comm_s4317794764714335236cancel(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_474])])).
% 59.37/10.05  tff(f35029,plain,(
% 59.37/10.05    comm_s4317794764714335236cancel(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9735])).
% 59.37/10.05  tff(f9735,axiom,(
% 59.37/10.05    comm_s4317794764714335236cancel(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1__cancel_582)).
% 59.37/10.05  tff(f66587,plain,(
% 59.37/10.05    spl2737_473),
% 59.37/10.05    inference(avatar_split_clause,[],[f35028,f66584])).
% 59.37/10.05  tff(f66584,plain,(
% 59.37/10.05    spl2737_473 <=> cancel1802427076303600483id_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_473])])).
% 59.37/10.05  tff(f35028,plain,(
% 59.37/10.05    cancel1802427076303600483id_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9733])).
% 59.37/10.05  tff(f9733,axiom,(
% 59.37/10.05    cancel1802427076303600483id_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__comm__monoid__add_580)).
% 59.37/10.05  tff(f66582,plain,(
% 59.37/10.05    spl2737_472),
% 59.37/10.05    inference(avatar_split_clause,[],[f35027,f66579])).
% 59.37/10.05  tff(f66579,plain,(
% 59.37/10.05    spl2737_472 <=> comm_s4317794764714335236cancel(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_472])])).
% 59.37/10.05  tff(f35027,plain,(
% 59.37/10.05    comm_s4317794764714335236cancel(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9824])).
% 59.37/10.05  tff(f9824,axiom,(
% 59.37/10.05    comm_s4317794764714335236cancel(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Ocomm__semiring__1__cancel_671)).
% 59.37/10.05  tff(f66577,plain,(
% 59.37/10.05    spl2737_471),
% 59.37/10.05    inference(avatar_split_clause,[],[f35026,f66574])).
% 59.37/10.05  tff(f66574,plain,(
% 59.37/10.05    spl2737_471 <=> cancel1802427076303600483id_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_471])])).
% 59.37/10.05  tff(f35026,plain,(
% 59.37/10.05    cancel1802427076303600483id_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9823])).
% 59.37/10.05  tff(f9823,axiom,(
% 59.37/10.05    cancel1802427076303600483id_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ocancel__comm__monoid__add_670)).
% 59.37/10.05  tff(f66572,plain,(
% 59.37/10.05    spl2737_470),
% 59.37/10.05    inference(avatar_split_clause,[],[f35025,f66569])).
% 59.37/10.05  tff(f66569,plain,(
% 59.37/10.05    spl2737_470 <=> cancel1802427076303600483id_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_470])])).
% 59.37/10.05  tff(f35025,plain,(
% 59.37/10.05    cancel1802427076303600483id_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9564])).
% 59.37/10.05  tff(f9564,axiom,(
% 59.37/10.05    cancel1802427076303600483id_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__comm__monoid__add_412)).
% 59.37/10.05  tff(f66567,plain,(
% 59.37/10.05    spl2737_469),
% 59.37/10.05    inference(avatar_split_clause,[],[f35024,f66564])).
% 59.37/10.05  tff(f66564,plain,(
% 59.37/10.05    spl2737_469 <=> comm_s4317794764714335236cancel(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_469])])).
% 59.37/10.05  tff(f35024,plain,(
% 59.37/10.05    comm_s4317794764714335236cancel(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9565])).
% 59.37/10.05  tff(f9565,axiom,(
% 59.37/10.05    comm_s4317794764714335236cancel(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1__cancel_413)).
% 59.37/10.05  tff(f66562,plain,(
% 59.37/10.05    spl2737_468),
% 59.37/10.05    inference(avatar_split_clause,[],[f35023,f66559])).
% 59.37/10.05  tff(f66559,plain,(
% 59.37/10.05    spl2737_468 <=> cancel2418104881723323429up_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_468])])).
% 59.37/10.05  tff(f35023,plain,(
% 59.37/10.05    cancel2418104881723323429up_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9167])).
% 59.37/10.05  tff(f9167,axiom,(
% 59.37/10.05    cancel2418104881723323429up_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__ab__semigroup__add_51)).
% 59.37/10.05  tff(f66557,plain,(
% 59.37/10.05    spl2737_467),
% 59.37/10.05    inference(avatar_split_clause,[],[f35022,f66554])).
% 59.37/10.05  tff(f66554,plain,(
% 59.37/10.05    spl2737_467 <=> cancel2418104881723323429up_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_467])])).
% 59.37/10.05  tff(f35022,plain,(
% 59.37/10.05    cancel2418104881723323429up_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9048])).
% 59.37/10.05  tff(f9048,axiom,(
% 59.37/10.05    cancel2418104881723323429up_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__ab__semigroup__add)).
% 59.37/10.05  tff(f66552,plain,(
% 59.37/10.05    spl2737_466),
% 59.37/10.05    inference(avatar_split_clause,[],[f35021,f66549])).
% 59.37/10.05  tff(f66549,plain,(
% 59.37/10.05    spl2737_466 <=> cancel2418104881723323429up_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_466])])).
% 59.37/10.05  tff(f35021,plain,(
% 59.37/10.05    cancel2418104881723323429up_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9427])).
% 59.37/10.05  tff(f9427,axiom,(
% 59.37/10.05    cancel2418104881723323429up_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add_280)).
% 59.37/10.05  tff(f66547,plain,(
% 59.37/10.05    spl2737_465),
% 59.37/10.05    inference(avatar_split_clause,[],[f35020,f66544])).
% 59.37/10.05  tff(f66544,plain,(
% 59.37/10.05    spl2737_465 <=> cancel2418104881723323429up_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_465])])).
% 59.37/10.05  tff(f35020,plain,(
% 59.37/10.05    cancel2418104881723323429up_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9256])).
% 59.37/10.05  tff(f9256,axiom,(
% 59.37/10.05    cancel2418104881723323429up_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__ab__semigroup__add_134)).
% 59.37/10.05  tff(f66542,plain,(
% 59.37/10.05    spl2737_464),
% 59.37/10.05    inference(avatar_split_clause,[],[f35019,f66539])).
% 59.37/10.05  tff(f66539,plain,(
% 59.37/10.05    spl2737_464 <=> cancel2418104881723323429up_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_464])])).
% 59.37/10.05  tff(f35019,plain,(
% 59.37/10.05    cancel2418104881723323429up_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9731])).
% 59.37/10.05  tff(f9731,axiom,(
% 59.37/10.05    cancel2418104881723323429up_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__ab__semigroup__add_578)).
% 59.37/10.05  tff(f66537,plain,(
% 59.37/10.05    spl2737_463),
% 59.37/10.05    inference(avatar_split_clause,[],[f35018,f66534])).
% 59.37/10.05  tff(f66534,plain,(
% 59.37/10.05    spl2737_463 <=> cancel2418104881723323429up_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_463])])).
% 59.37/10.05  tff(f35018,plain,(
% 59.37/10.05    cancel2418104881723323429up_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9822])).
% 59.37/10.05  tff(f9822,axiom,(
% 59.37/10.05    cancel2418104881723323429up_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ocancel__ab__semigroup__add_669)).
% 59.37/10.05  tff(f66532,plain,(
% 59.37/10.05    spl2737_462),
% 59.37/10.05    inference(avatar_split_clause,[],[f35017,f66529])).
% 59.37/10.05  tff(f66529,plain,(
% 59.37/10.05    spl2737_462 <=> cancel2418104881723323429up_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_462])])).
% 59.37/10.05  tff(f35017,plain,(
% 59.37/10.05    cancel2418104881723323429up_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9560])).
% 59.37/10.05  tff(f9560,axiom,(
% 59.37/10.05    cancel2418104881723323429up_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__ab__semigroup__add_408)).
% 59.37/10.05  tff(f66527,plain,(
% 59.37/10.05    spl2737_461),
% 59.37/10.05    inference(avatar_split_clause,[],[f35016,f66524])).
% 59.37/10.05  tff(f66524,plain,(
% 59.37/10.05    spl2737_461 <=> ordered_semiring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_461])])).
% 59.37/10.05  tff(f35016,plain,(
% 59.37/10.05    ordered_semiring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9188])).
% 59.37/10.05  tff(f9188,axiom,(
% 59.37/10.05    ordered_semiring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring_71)).
% 59.37/10.05  tff(f66522,plain,(
% 59.37/10.05    spl2737_460),
% 59.37/10.05    inference(avatar_split_clause,[],[f35015,f66519])).
% 59.37/10.05  tff(f66519,plain,(
% 59.37/10.05    spl2737_460 <=> ordered_semiring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_460])])).
% 59.37/10.05  tff(f35015,plain,(
% 59.37/10.05    ordered_semiring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9072])).
% 59.37/10.05  tff(f9072,axiom,(
% 59.37/10.05    ordered_semiring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring)).
% 59.37/10.05  tff(f66517,plain,(
% 59.37/10.05    spl2737_459),
% 59.37/10.05    inference(avatar_split_clause,[],[f35014,f66514])).
% 59.37/10.05  tff(f66514,plain,(
% 59.37/10.05    spl2737_459 <=> ordered_semiring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_459])])).
% 59.37/10.05  tff(f35014,plain,(
% 59.37/10.05    ordered_semiring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9454])).
% 59.37/10.05  tff(f9454,axiom,(
% 59.37/10.05    ordered_semiring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring_303)).
% 59.37/10.05  tff(f66512,plain,(
% 59.37/10.05    spl2737_458),
% 59.37/10.05    inference(avatar_split_clause,[],[f35013,f66509])).
% 59.37/10.05  tff(f66509,plain,(
% 59.37/10.05    spl2737_458 <=> ordered_semiring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_458])])).
% 59.37/10.05  tff(f35013,plain,(
% 59.37/10.05    ordered_semiring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9277])).
% 59.37/10.05  tff(f9277,axiom,(
% 59.37/10.05    ordered_semiring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring_153)).
% 59.37/10.05  tff(f66507,plain,(
% 59.37/10.05    spl2737_457),
% 59.37/10.05    inference(avatar_split_clause,[],[f35012,f66504])).
% 59.37/10.05  tff(f66504,plain,(
% 59.37/10.05    spl2737_457 <=> ordered_semiring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_457])])).
% 59.37/10.05  tff(f35012,plain,(
% 59.37/10.05    ordered_semiring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9749])).
% 59.37/10.05  tff(f9749,axiom,(
% 59.37/10.05    ordered_semiring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring_596)).
% 59.37/10.05  tff(f66502,plain,(
% 59.37/10.05    spl2737_456),
% 59.37/10.05    inference(avatar_split_clause,[],[f35011,f66499])).
% 59.37/10.05  tff(f66499,plain,(
% 59.37/10.05    spl2737_456 <=> ordered_semiring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_456])])).
% 59.37/10.05  tff(f35011,plain,(
% 59.37/10.05    ordered_semiring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9837])).
% 59.37/10.05  tff(f9837,axiom,(
% 59.37/10.05    ordered_semiring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Oordered__semiring_684)).
% 59.37/10.05  tff(f66497,plain,(
% 59.37/10.05    spl2737_455),
% 59.37/10.05    inference(avatar_split_clause,[],[f35010,f66494])).
% 59.37/10.05  tff(f66494,plain,(
% 59.37/10.05    spl2737_455 <=> ordered_semiring(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_455])])).
% 59.37/10.05  tff(f35010,plain,(
% 59.37/10.05    ordered_semiring(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9641])).
% 59.37/10.05  tff(f9641,axiom,(
% 59.37/10.05    ordered_semiring(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__semiring_488)).
% 59.37/10.05  tff(f66492,plain,(
% 59.37/10.05    spl2737_454),
% 59.37/10.05    inference(avatar_split_clause,[],[f35009,f66489])).
% 59.37/10.05  tff(f66489,plain,(
% 59.37/10.05    spl2737_454 <=> semiri6575147826004484403cancel(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_454])])).
% 59.37/10.05  tff(f35009,plain,(
% 59.37/10.05    semiri6575147826004484403cancel(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9140])).
% 59.37/10.05  tff(f9140,axiom,(
% 59.37/10.05    semiri6575147826004484403cancel(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors__cancel_26)).
% 59.37/10.05  tff(f66487,plain,(
% 59.37/10.05    spl2737_453),
% 59.37/10.05    inference(avatar_split_clause,[],[f35008,f66484])).
% 59.37/10.05  tff(f66484,plain,(
% 59.37/10.05    spl2737_453 <=> semiri6575147826004484403cancel(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_453])])).
% 59.37/10.05  tff(f35008,plain,(
% 59.37/10.05    semiri6575147826004484403cancel(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9018])).
% 59.37/10.05  tff(f9018,axiom,(
% 59.37/10.05    semiri6575147826004484403cancel(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors__cancel)).
% 59.37/10.05  tff(f66482,plain,(
% 59.37/10.05    spl2737_452),
% 59.37/10.05    inference(avatar_split_clause,[],[f35007,f66479])).
% 59.37/10.05  tff(f66479,plain,(
% 59.37/10.05    spl2737_452 <=> semiri6575147826004484403cancel(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_452])])).
% 59.37/10.05  tff(f35007,plain,(
% 59.37/10.05    semiri6575147826004484403cancel(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9390])).
% 59.37/10.05  tff(f9390,axiom,(
% 59.37/10.05    semiri6575147826004484403cancel(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors__cancel_255)).
% 59.37/10.05  tff(f66477,plain,(
% 59.37/10.05    spl2737_451),
% 59.37/10.05    inference(avatar_split_clause,[],[f35006,f66474])).
% 59.37/10.05  tff(f66474,plain,(
% 59.37/10.05    spl2737_451 <=> semiri6575147826004484403cancel(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_451])])).
% 59.37/10.05  tff(f35006,plain,(
% 59.37/10.05    semiri6575147826004484403cancel(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9236])).
% 59.37/10.05  tff(f9236,axiom,(
% 59.37/10.05    semiri6575147826004484403cancel(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__no__zero__divisors__cancel_117)).
% 59.37/10.05  tff(f66472,plain,(
% 59.37/10.05    spl2737_450),
% 59.37/10.05    inference(avatar_split_clause,[],[f35005,f66469])).
% 59.37/10.05  tff(f66469,plain,(
% 59.37/10.05    spl2737_450 <=> semiri6575147826004484403cancel(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_450])])).
% 59.37/10.05  tff(f35005,plain,(
% 59.37/10.05    semiri6575147826004484403cancel(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9710])).
% 59.37/10.05  tff(f9710,axiom,(
% 59.37/10.05    semiri6575147826004484403cancel(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors__cancel_557)).
% 59.37/10.05  tff(f66467,plain,(
% 59.37/10.05    spl2737_449),
% 59.37/10.05    inference(avatar_split_clause,[],[f35004,f66464])).
% 59.37/10.05  tff(f66464,plain,(
% 59.37/10.05    spl2737_449 <=> semiri6575147826004484403cancel(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_449])])).
% 59.37/10.05  tff(f35004,plain,(
% 59.37/10.05    semiri6575147826004484403cancel(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9806])).
% 59.37/10.05  tff(f9806,axiom,(
% 59.37/10.05    semiri6575147826004484403cancel(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring__no__zero__divisors__cancel_653)).
% 59.37/10.05  tff(f66462,plain,(
% 59.37/10.05    spl2737_448),
% 59.37/10.05    inference(avatar_split_clause,[],[f35003,f66459])).
% 59.37/10.05  tff(f66459,plain,(
% 59.37/10.05    spl2737_448 <=> semiri6575147826004484403cancel(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_448])])).
% 59.37/10.05  tff(f35003,plain,(
% 59.37/10.05    semiri6575147826004484403cancel(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9543])).
% 59.37/10.05  tff(f9543,axiom,(
% 59.37/10.05    semiri6575147826004484403cancel(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors__cancel_391)).
% 59.37/10.05  tff(f66457,plain,(
% 59.37/10.05    spl2737_447),
% 59.37/10.05    inference(avatar_split_clause,[],[f35002,f66454])).
% 59.37/10.05  tff(f66454,plain,(
% 59.37/10.05    spl2737_447 <=> linord4140545234300271783up_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_447])])).
% 59.37/10.05  tff(f35002,plain,(
% 59.37/10.05    linord4140545234300271783up_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9155])).
% 59.37/10.05  tff(f9155,axiom,(
% 59.37/10.05    linord4140545234300271783up_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Olinordered__ab__semigroup__add_39)).
% 59.37/10.05  tff(f66452,plain,(
% 59.37/10.05    spl2737_446),
% 59.37/10.05    inference(avatar_split_clause,[],[f35001,f66449])).
% 59.37/10.05  tff(f66449,plain,(
% 59.37/10.05    spl2737_446 <=> semiri2026040879449505780visors(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_446])])).
% 59.37/10.05  tff(f35001,plain,(
% 59.37/10.05    semiri2026040879449505780visors(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9157])).
% 59.37/10.05  tff(f9157,axiom,(
% 59.37/10.05    semiri2026040879449505780visors(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__no__zero__divisors_41)).
% 59.37/10.05  tff(f66447,plain,(
% 59.37/10.05    spl2737_445),
% 59.37/10.05    inference(avatar_split_clause,[],[f35000,f66444])).
% 59.37/10.05  tff(f66444,plain,(
% 59.37/10.05    spl2737_445 <=> semiri2026040879449505780visors(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_445])])).
% 59.37/10.05  tff(f35000,plain,(
% 59.37/10.05    semiri2026040879449505780visors(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9035])).
% 59.37/10.05  tff(f9035,axiom,(
% 59.37/10.05    semiri2026040879449505780visors(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__no__zero__divisors)).
% 59.37/10.05  tff(f66442,plain,(
% 59.37/10.05    spl2737_444),
% 59.37/10.05    inference(avatar_split_clause,[],[f34999,f66439])).
% 59.37/10.05  tff(f66439,plain,(
% 59.37/10.05    spl2737_444 <=> linord4140545234300271783up_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_444])])).
% 59.37/10.05  tff(f34999,plain,(
% 59.37/10.05    linord4140545234300271783up_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9032])).
% 59.37/10.05  tff(f9032,axiom,(
% 59.37/10.05    linord4140545234300271783up_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__semigroup__add)).
% 59.37/10.05  tff(f66437,plain,(
% 59.37/10.05    spl2737_443),
% 59.37/10.05    inference(avatar_split_clause,[],[f34998,f66434])).
% 59.37/10.05  tff(f66434,plain,(
% 59.37/10.05    spl2737_443 <=> semiri2026040879449505780visors(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_443])])).
% 59.37/10.05  tff(f34998,plain,(
% 59.37/10.05    semiri2026040879449505780visors(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9410])).
% 59.37/10.05  tff(f9410,axiom,(
% 59.37/10.05    semiri2026040879449505780visors(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__no__zero__divisors_270)).
% 59.37/10.05  tff(f66432,plain,(
% 59.37/10.05    spl2737_442),
% 59.37/10.05    inference(avatar_split_clause,[],[f34997,f66429])).
% 59.37/10.05  tff(f66429,plain,(
% 59.37/10.05    spl2737_442 <=> linord4140545234300271783up_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_442])])).
% 59.37/10.05  tff(f34997,plain,(
% 59.37/10.05    linord4140545234300271783up_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9408])).
% 59.37/10.05  tff(f9408,axiom,(
% 59.37/10.05    linord4140545234300271783up_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__semigroup__add_268)).
% 59.37/10.05  tff(f66427,plain,(
% 59.37/10.05    spl2737_441),
% 59.37/10.05    inference(avatar_split_clause,[],[f34996,f66424])).
% 59.37/10.05  tff(f66424,plain,(
% 59.37/10.05    spl2737_441 <=> semiri2026040879449505780visors(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_441])])).
% 59.37/10.05  tff(f34996,plain,(
% 59.37/10.05    semiri2026040879449505780visors(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9247])).
% 59.37/10.05  tff(f9247,axiom,(
% 59.37/10.05    semiri2026040879449505780visors(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__no__zero__divisors_126)).
% 59.37/10.05  tff(f66422,plain,(
% 59.37/10.05    spl2737_440),
% 59.37/10.05    inference(avatar_split_clause,[],[f34995,f66419])).
% 59.37/10.05  tff(f66419,plain,(
% 59.37/10.05    spl2737_440 <=> linord4140545234300271783up_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_440])])).
% 59.37/10.05  tff(f34995,plain,(
% 59.37/10.05    linord4140545234300271783up_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9246])).
% 59.37/10.05  tff(f9246,axiom,(
% 59.37/10.05    linord4140545234300271783up_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__semigroup__add_125)).
% 59.37/10.05  tff(f66417,plain,(
% 59.37/10.05    spl2737_439),
% 59.37/10.05    inference(avatar_split_clause,[],[f34994,f66414])).
% 59.37/10.05  tff(f66414,plain,(
% 59.37/10.05    spl2737_439 <=> linord4140545234300271783up_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_439])])).
% 59.37/10.05  tff(f34994,plain,(
% 59.37/10.05    linord4140545234300271783up_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9720])).
% 59.37/10.05  tff(f9720,axiom,(
% 59.37/10.05    linord4140545234300271783up_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__semigroup__add_567)).
% 59.37/10.05  tff(f66412,plain,(
% 59.37/10.05    spl2737_438),
% 59.37/10.05    inference(avatar_split_clause,[],[f34993,f66409])).
% 59.37/10.05  tff(f66409,plain,(
% 59.37/10.05    spl2737_438 <=> semiri2026040879449505780visors(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_438])])).
% 59.37/10.05  tff(f34993,plain,(
% 59.37/10.05    semiri2026040879449505780visors(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9722])).
% 59.37/10.05  tff(f9722,axiom,(
% 59.37/10.05    semiri2026040879449505780visors(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__no__zero__divisors_569)).
% 59.37/10.05  tff(f66407,plain,(
% 59.37/10.05    spl2737_437),
% 59.37/10.05    inference(avatar_split_clause,[],[f34992,f66404])).
% 59.37/10.05  tff(f66404,plain,(
% 59.37/10.05    spl2737_437 <=> linord4140545234300271783up_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_437])])).
% 59.37/10.05  tff(f34992,plain,(
% 59.37/10.05    linord4140545234300271783up_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9815])).
% 59.37/10.05  tff(f9815,axiom,(
% 59.37/10.05    linord4140545234300271783up_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Olinordered__ab__semigroup__add_662)).
% 59.37/10.05  tff(f66402,plain,(
% 59.37/10.05    spl2737_436),
% 59.37/10.05    inference(avatar_split_clause,[],[f34991,f66399])).
% 59.37/10.05  tff(f66399,plain,(
% 59.37/10.05    spl2737_436 <=> semiri2026040879449505780visors(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_436])])).
% 59.37/10.05  tff(f34991,plain,(
% 59.37/10.05    semiri2026040879449505780visors(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9816])).
% 59.37/10.05  tff(f9816,axiom,(
% 59.37/10.05    semiri2026040879449505780visors(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring__1__no__zero__divisors_663)).
% 59.37/10.05  tff(f66397,plain,(
% 59.37/10.05    spl2737_435),
% 59.37/10.05    inference(avatar_split_clause,[],[f34990,f66394])).
% 59.37/10.05  tff(f66394,plain,(
% 59.37/10.05    spl2737_435 <=> semiri2026040879449505780visors(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_435])])).
% 59.37/10.05  tff(f34990,plain,(
% 59.37/10.05    semiri2026040879449505780visors(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9550])).
% 59.37/10.05  tff(f9550,axiom,(
% 59.37/10.05    semiri2026040879449505780visors(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__no__zero__divisors_398)).
% 59.37/10.05  tff(f66392,plain,(
% 59.37/10.05    spl2737_434),
% 59.37/10.05    inference(avatar_split_clause,[],[f34989,f66389])).
% 59.37/10.05  tff(f66389,plain,(
% 59.37/10.05    spl2737_434 <=> linord4140545234300271783up_add(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_434])])).
% 59.37/10.05  tff(f34989,plain,(
% 59.37/10.05    linord4140545234300271783up_add(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9626])).
% 59.37/10.05  tff(f9626,axiom,(
% 59.37/10.05    linord4140545234300271783up_add(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Olinordered__ab__semigroup__add_473)).
% 59.37/10.05  tff(f66387,plain,(
% 59.37/10.05    spl2737_433),
% 59.37/10.05    inference(avatar_split_clause,[],[f34988,f66384])).
% 59.37/10.05  tff(f66384,plain,(
% 59.37/10.05    spl2737_433 <=> zero_less_one(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_433])])).
% 59.37/10.05  tff(f34988,plain,(
% 59.37/10.05    zero_less_one(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9199])).
% 59.37/10.05  tff(f9199,axiom,(
% 59.37/10.05    zero_less_one(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__less__one_82)).
% 59.37/10.05  tff(f66382,plain,(
% 59.37/10.05    spl2737_432),
% 59.37/10.05    inference(avatar_split_clause,[],[f34987,f66379])).
% 59.37/10.05  tff(f66379,plain,(
% 59.37/10.05    spl2737_432 <=> strict7427464778891057005id_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_432])])).
% 59.37/10.05  tff(f34987,plain,(
% 59.37/10.05    strict7427464778891057005id_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9147])).
% 59.37/10.05  tff(f9147,axiom,(
% 59.37/10.05    strict7427464778891057005id_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__comm__monoid__add_32)).
% 59.37/10.05  tff(f66377,plain,(
% 59.37/10.05    spl2737_431),
% 59.37/10.05    inference(avatar_split_clause,[],[f34986,f66374])).
% 59.37/10.05  tff(f66374,plain,(
% 59.37/10.05    spl2737_431 <=> strict9044650504122735259up_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_431])])).
% 59.37/10.05  tff(f34986,plain,(
% 59.37/10.05    strict9044650504122735259up_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9141])).
% 59.37/10.05  tff(f9141,axiom,(
% 59.37/10.05    strict9044650504122735259up_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__ab__semigroup__add_27)).
% 59.37/10.05  tff(f66372,plain,(
% 59.37/10.05    spl2737_430),
% 59.37/10.05    inference(avatar_split_clause,[],[f34985,f66369])).
% 59.37/10.05  tff(f66369,plain,(
% 59.37/10.05    spl2737_430 <=> zero_less_one(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_430])])).
% 59.37/10.05  tff(f34985,plain,(
% 59.37/10.05    zero_less_one(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9086])).
% 59.37/10.05  tff(f9086,axiom,(
% 59.37/10.05    zero_less_one(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__less__one)).
% 59.37/10.05  tff(f66367,plain,(
% 59.37/10.05    spl2737_429),
% 59.37/10.05    inference(avatar_split_clause,[],[f34984,f66364])).
% 59.37/10.05  tff(f66364,plain,(
% 59.37/10.05    spl2737_429 <=> strict9044650504122735259up_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_429])])).
% 59.37/10.05  tff(f34984,plain,(
% 59.37/10.05    strict9044650504122735259up_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9019])).
% 59.37/10.05  tff(f9019,axiom,(
% 59.37/10.05    strict9044650504122735259up_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__ab__semigroup__add)).
% 59.37/10.05  tff(f66362,plain,(
% 59.37/10.05    spl2737_428),
% 59.37/10.05    inference(avatar_split_clause,[],[f34983,f66359])).
% 59.37/10.05  tff(f66359,plain,(
% 59.37/10.05    spl2737_428 <=> strict7427464778891057005id_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_428])])).
% 59.37/10.05  tff(f34983,plain,(
% 59.37/10.05    strict7427464778891057005id_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9024])).
% 59.37/10.05  tff(f9024,axiom,(
% 59.37/10.05    strict7427464778891057005id_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__comm__monoid__add)).
% 59.37/10.05  tff(f66357,plain,(
% 59.37/10.05    spl2737_427),
% 59.37/10.05    inference(avatar_split_clause,[],[f34982,f66354])).
% 59.37/10.05  tff(f66354,plain,(
% 59.37/10.05    spl2737_427 <=> strict7427464778891057005id_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_427])])).
% 59.37/10.05  tff(f34982,plain,(
% 59.37/10.05    strict7427464778891057005id_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9398])).
% 59.37/10.05  tff(f9398,axiom,(
% 59.37/10.05    strict7427464778891057005id_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add_260)).
% 59.37/10.05  tff(f66352,plain,(
% 59.37/10.05    spl2737_426),
% 59.37/10.05    inference(avatar_split_clause,[],[f34981,f66349])).
% 59.37/10.05  tff(f66349,plain,(
% 59.37/10.05    spl2737_426 <=> zero_less_one(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_426])])).
% 59.37/10.05  tff(f34981,plain,(
% 59.37/10.05    zero_less_one(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9468])).
% 59.37/10.05  tff(f9468,axiom,(
% 59.37/10.05    zero_less_one(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__less__one_317)).
% 59.37/10.05  tff(f66347,plain,(
% 59.37/10.05    spl2737_425),
% 59.37/10.05    inference(avatar_split_clause,[],[f34980,f66344])).
% 59.37/10.05  tff(f66344,plain,(
% 59.37/10.05    spl2737_425 <=> strict9044650504122735259up_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_425])])).
% 59.37/10.05  tff(f34980,plain,(
% 59.37/10.05    strict9044650504122735259up_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9393])).
% 59.37/10.05  tff(f9393,axiom,(
% 59.37/10.05    strict9044650504122735259up_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add_256)).
% 59.37/10.05  tff(f66342,plain,(
% 59.37/10.05    spl2737_424),
% 59.37/10.05    inference(avatar_split_clause,[],[f34979,f66339])).
% 59.37/10.05  tff(f66339,plain,(
% 59.37/10.05    spl2737_424 <=> strict7427464778891057005id_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_424])])).
% 59.37/10.05  tff(f34979,plain,(
% 59.37/10.05    strict7427464778891057005id_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9241])).
% 59.37/10.05  tff(f9241,axiom,(
% 59.37/10.05    strict7427464778891057005id_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__comm__monoid__add_122)).
% 59.37/10.05  tff(f66337,plain,(
% 59.37/10.05    spl2737_423),
% 59.37/10.05    inference(avatar_split_clause,[],[f34978,f66334])).
% 59.37/10.05  tff(f66334,plain,(
% 59.37/10.05    spl2737_423 <=> zero_less_one(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_423])])).
% 59.37/10.05  tff(f34978,plain,(
% 59.37/10.05    zero_less_one(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9291])).
% 59.37/10.05  tff(f9291,axiom,(
% 59.37/10.05    zero_less_one(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ozero__less__one_164)).
% 59.37/10.05  tff(f66332,plain,(
% 59.37/10.05    spl2737_422),
% 59.37/10.05    inference(avatar_split_clause,[],[f34977,f66329])).
% 59.37/10.05  tff(f66329,plain,(
% 59.37/10.05    spl2737_422 <=> strict9044650504122735259up_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_422])])).
% 59.37/10.05  tff(f34977,plain,(
% 59.37/10.05    strict9044650504122735259up_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9237])).
% 59.37/10.05  tff(f9237,axiom,(
% 59.37/10.05    strict9044650504122735259up_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__ab__semigroup__add_118)).
% 59.37/10.05  tff(f66327,plain,(
% 59.37/10.05    spl2737_421),
% 59.37/10.05    inference(avatar_split_clause,[],[f34976,f66324])).
% 59.37/10.05  tff(f66324,plain,(
% 59.37/10.05    spl2737_421 <=> strict7427464778891057005id_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_421])])).
% 59.37/10.05  tff(f34976,plain,(
% 59.37/10.05    strict7427464778891057005id_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9716])).
% 59.37/10.05  tff(f9716,axiom,(
% 59.37/10.05    strict7427464778891057005id_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__comm__monoid__add_563)).
% 59.37/10.05  tff(f66322,plain,(
% 59.37/10.05    spl2737_420),
% 59.37/10.05    inference(avatar_split_clause,[],[f34975,f66319])).
% 59.37/10.05  tff(f66319,plain,(
% 59.37/10.05    spl2737_420 <=> zero_less_one(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_420])])).
% 59.37/10.05  tff(f34975,plain,(
% 59.37/10.05    zero_less_one(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9763])).
% 59.37/10.05  tff(f9763,axiom,(
% 59.37/10.05    zero_less_one(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__less__one_610)).
% 59.37/10.05  tff(f66317,plain,(
% 59.37/10.05    spl2737_419),
% 59.37/10.05    inference(avatar_split_clause,[],[f34974,f66314])).
% 59.37/10.05  tff(f66314,plain,(
% 59.37/10.05    spl2737_419 <=> strict9044650504122735259up_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_419])])).
% 59.37/10.05  tff(f34974,plain,(
% 59.37/10.05    strict9044650504122735259up_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9711])).
% 59.37/10.05  tff(f9711,axiom,(
% 59.37/10.05    strict9044650504122735259up_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__ab__semigroup__add_558)).
% 59.37/10.05  tff(f66312,plain,(
% 59.37/10.05    spl2737_418),
% 59.37/10.05    inference(avatar_split_clause,[],[f34973,f66309])).
% 59.37/10.05  tff(f66309,plain,(
% 59.37/10.05    spl2737_418 <=> zero_less_one(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_418])])).
% 59.37/10.05  tff(f34973,plain,(
% 59.37/10.05    zero_less_one(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9848])).
% 59.37/10.05  tff(f9848,axiom,(
% 59.37/10.05    zero_less_one(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Ozero__less__one_695)).
% 59.37/10.05  tff(f66307,plain,(
% 59.37/10.05    spl2737_417),
% 59.37/10.05    inference(avatar_split_clause,[],[f34972,f66304])).
% 59.37/10.05  tff(f66304,plain,(
% 59.37/10.05    spl2737_417 <=> strict9044650504122735259up_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_417])])).
% 59.37/10.05  tff(f34972,plain,(
% 59.37/10.05    strict9044650504122735259up_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9807])).
% 59.37/10.05  tff(f9807,axiom,(
% 59.37/10.05    strict9044650504122735259up_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ostrict__ordered__ab__semigroup__add_654)).
% 59.37/10.05  tff(f66302,plain,(
% 59.37/10.05    spl2737_416),
% 59.37/10.05    inference(avatar_split_clause,[],[f34971,f66299])).
% 59.37/10.05  tff(f66299,plain,(
% 59.37/10.05    spl2737_416 <=> strict7427464778891057005id_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_416])])).
% 59.37/10.05  tff(f34971,plain,(
% 59.37/10.05    strict7427464778891057005id_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9812])).
% 59.37/10.05  tff(f9812,axiom,(
% 59.37/10.05    strict7427464778891057005id_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ostrict__ordered__comm__monoid__add_659)).
% 59.37/10.05  tff(f66297,plain,(
% 59.37/10.05    spl2737_415),
% 59.37/10.05    inference(avatar_split_clause,[],[f34970,f66294])).
% 59.37/10.05  tff(f66294,plain,(
% 59.37/10.05    spl2737_415 <=> zero_less_one(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_415])])).
% 59.37/10.05  tff(f34970,plain,(
% 59.37/10.05    zero_less_one(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9648])).
% 59.37/10.05  tff(f9648,axiom,(
% 59.37/10.05    zero_less_one(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__less__one_495)).
% 59.37/10.05  tff(f66292,plain,(
% 59.37/10.05    spl2737_414),
% 59.37/10.05    inference(avatar_split_clause,[],[f34969,f66289])).
% 59.37/10.05  tff(f66289,plain,(
% 59.37/10.05    spl2737_414 <=> strict9044650504122735259up_add(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_414])])).
% 59.37/10.05  tff(f34969,plain,(
% 59.37/10.05    strict9044650504122735259up_add(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9620])).
% 59.37/10.05  tff(f9620,axiom,(
% 59.37/10.05    strict9044650504122735259up_add(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__ab__semigroup__add_468)).
% 59.37/10.05  tff(f66287,plain,(
% 59.37/10.05    spl2737_413),
% 59.37/10.05    inference(avatar_split_clause,[],[f34968,f66284])).
% 59.37/10.05  tff(f66284,plain,(
% 59.37/10.05    spl2737_413 <=> strict7427464778891057005id_add(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_413])])).
% 59.37/10.05  tff(f34968,plain,(
% 59.37/10.05    strict7427464778891057005id_add(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9621])).
% 59.37/10.05  tff(f9621,axiom,(
% 59.37/10.05    strict7427464778891057005id_add(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__comm__monoid__add_469)).
% 59.37/10.05  tff(f66282,plain,(
% 59.37/10.05    spl2737_412),
% 59.37/10.05    inference(avatar_split_clause,[],[f34967,f66279])).
% 59.37/10.05  tff(f66279,plain,(
% 59.37/10.05    spl2737_412 <=> semidom(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_412])])).
% 59.37/10.05  tff(f34967,plain,(
% 59.37/10.05    semidom(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9218])).
% 59.37/10.05  tff(f9218,axiom,(
% 59.37/10.05    semidom(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom_100)).
% 59.37/10.05  tff(f66277,plain,(
% 59.37/10.05    spl2737_411),
% 59.37/10.05    inference(avatar_split_clause,[],[f34966,f66274])).
% 59.37/10.05  tff(f66274,plain,(
% 59.37/10.05    spl2737_411 <=> semiring_1_cancel(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_411])])).
% 59.37/10.05  tff(f34966,plain,(
% 59.37/10.05    semiring_1_cancel(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9183])).
% 59.37/10.05  tff(f9183,axiom,(
% 59.37/10.05    semiring_1_cancel(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__cancel_67)).
% 59.37/10.05  tff(f66272,plain,(
% 59.37/10.05    spl2737_410),
% 59.37/10.05    inference(avatar_split_clause,[],[f34965,f66269])).
% 59.37/10.05  tff(f66269,plain,(
% 59.37/10.05    spl2737_410 <=> ordere2520102378445227354miring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_410])])).
% 59.37/10.05  tff(f34965,plain,(
% 59.37/10.05    ordere2520102378445227354miring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9173])).
% 59.37/10.05  tff(f9173,axiom,(
% 59.37/10.05    ordere2520102378445227354miring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__comm__semiring_57)).
% 59.37/10.05  tff(f66267,plain,(
% 59.37/10.05    spl2737_409),
% 59.37/10.05    inference(avatar_split_clause,[],[f34964,f66264])).
% 59.37/10.05  tff(f66264,plain,(
% 59.37/10.05    spl2737_409 <=> semiring_1_cancel(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_409])])).
% 59.37/10.05  tff(f34964,plain,(
% 59.37/10.05    semiring_1_cancel(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9068])).
% 59.37/10.05  tff(f9068,axiom,(
% 59.37/10.05    semiring_1_cancel(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__cancel)).
% 59.37/10.05  tff(f66262,plain,(
% 59.37/10.05    spl2737_408),
% 59.37/10.05    inference(avatar_split_clause,[],[f34963,f66259])).
% 59.37/10.05  tff(f66259,plain,(
% 59.37/10.05    spl2737_408 <=> ordere2520102378445227354miring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_408])])).
% 59.37/10.05  tff(f34963,plain,(
% 59.37/10.05    ordere2520102378445227354miring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9056])).
% 59.37/10.05  tff(f9056,axiom,(
% 59.37/10.05    ordere2520102378445227354miring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__comm__semiring)).
% 59.37/10.05  tff(f66257,plain,(
% 59.37/10.05    spl2737_407),
% 59.37/10.05    inference(avatar_split_clause,[],[f34962,f66254])).
% 59.37/10.05  tff(f66254,plain,(
% 59.37/10.05    spl2737_407 <=> semidom(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_407])])).
% 59.37/10.05  tff(f34962,plain,(
% 59.37/10.05    semidom(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9115])).
% 59.37/10.05  tff(f9115,axiom,(
% 59.37/10.05    semidom(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom)).
% 59.37/10.05  tff(f66252,plain,(
% 59.37/10.05    spl2737_406),
% 59.37/10.05    inference(avatar_split_clause,[],[f34961,f66249])).
% 59.37/10.05  tff(f66249,plain,(
% 59.37/10.05    spl2737_406 <=> semidom(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_406])])).
% 59.37/10.05  tff(f34961,plain,(
% 59.37/10.05    semidom(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9496])).
% 59.37/10.05  tff(f9496,axiom,(
% 59.37/10.05    semidom(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemidom_344)).
% 59.37/10.05  tff(f66247,plain,(
% 59.37/10.05    spl2737_405),
% 59.37/10.05    inference(avatar_split_clause,[],[f34960,f66244])).
% 59.37/10.05  tff(f66244,plain,(
% 59.37/10.05    spl2737_405 <=> semiring_1_cancel(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_405])])).
% 59.37/10.05  tff(f34960,plain,(
% 59.37/10.05    semiring_1_cancel(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9450])).
% 59.37/10.05  tff(f9450,axiom,(
% 59.37/10.05    semiring_1_cancel(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__cancel_299)).
% 59.37/10.05  tff(f66242,plain,(
% 59.37/10.05    spl2737_404),
% 59.37/10.05    inference(avatar_split_clause,[],[f34959,f66239])).
% 59.37/10.05  tff(f66239,plain,(
% 59.37/10.05    spl2737_404 <=> ordere2520102378445227354miring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_404])])).
% 59.37/10.05  tff(f34959,plain,(
% 59.37/10.05    ordere2520102378445227354miring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9437])).
% 59.37/10.05  tff(f9437,axiom,(
% 59.37/10.05    ordere2520102378445227354miring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__comm__semiring_287)).
% 59.37/10.05  tff(f66237,plain,(
% 59.37/10.05    spl2737_403),
% 59.37/10.05    inference(avatar_split_clause,[],[f34958,f66234])).
% 59.37/10.05  tff(f66234,plain,(
% 59.37/10.05    spl2737_403 <=> ordere2520102378445227354miring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_403])])).
% 59.37/10.05  tff(f34958,plain,(
% 59.37/10.05    ordere2520102378445227354miring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9261])).
% 59.37/10.05  tff(f9261,axiom,(
% 59.37/10.05    ordere2520102378445227354miring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__comm__semiring_139)).
% 59.37/10.05  tff(f66232,plain,(
% 59.37/10.05    spl2737_402),
% 59.37/10.05    inference(avatar_split_clause,[],[f34957,f66229])).
% 59.37/10.05  tff(f66229,plain,(
% 59.37/10.05    spl2737_402 <=> semiring_1_cancel(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_402])])).
% 59.37/10.05  tff(f34957,plain,(
% 59.37/10.05    semiring_1_cancel(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9273])).
% 59.37/10.05  tff(f9273,axiom,(
% 59.37/10.05    semiring_1_cancel(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__cancel_150)).
% 59.37/10.05  tff(f66227,plain,(
% 59.37/10.05    spl2737_401),
% 59.37/10.05    inference(avatar_split_clause,[],[f34956,f66224])).
% 59.37/10.05  tff(f66224,plain,(
% 59.37/10.05    spl2737_401 <=> semidom(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_401])])).
% 59.37/10.05  tff(f34956,plain,(
% 59.37/10.05    semidom(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9318])).
% 59.37/10.05  tff(f9318,axiom,(
% 59.37/10.05    semidom(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemidom_189)).
% 59.37/10.05  tff(f66222,plain,(
% 59.37/10.05    spl2737_400),
% 59.37/10.05    inference(avatar_split_clause,[],[f34955,f66219])).
% 59.37/10.05  tff(f66219,plain,(
% 59.37/10.05    spl2737_400 <=> semiring_1_cancel(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_400])])).
% 59.37/10.05  tff(f34955,plain,(
% 59.37/10.05    semiring_1_cancel(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9745])).
% 59.37/10.05  tff(f9745,axiom,(
% 59.37/10.05    semiring_1_cancel(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__cancel_592)).
% 59.37/10.05  tff(f66217,plain,(
% 59.37/10.05    spl2737_399),
% 59.37/10.05    inference(avatar_split_clause,[],[f34954,f66214])).
% 59.37/10.05  tff(f66214,plain,(
% 59.37/10.05    spl2737_399 <=> ordere2520102378445227354miring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_399])])).
% 59.37/10.05  tff(f34954,plain,(
% 59.37/10.05    ordere2520102378445227354miring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9737])).
% 59.37/10.05  tff(f9737,axiom,(
% 59.37/10.05    ordere2520102378445227354miring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__comm__semiring_584)).
% 59.37/10.05  tff(f66212,plain,(
% 59.37/10.05    spl2737_398),
% 59.37/10.05    inference(avatar_split_clause,[],[f34953,f66209])).
% 59.37/10.05  tff(f66209,plain,(
% 59.37/10.05    spl2737_398 <=> semidom(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_398])])).
% 59.37/10.05  tff(f34953,plain,(
% 59.37/10.05    semidom(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9787])).
% 59.37/10.05  tff(f9787,axiom,(
% 59.37/10.05    semidom(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom_634)).
% 59.37/10.05  tff(f66207,plain,(
% 59.37/10.05    spl2737_397),
% 59.37/10.05    inference(avatar_split_clause,[],[f34952,f66204])).
% 59.37/10.05  tff(f66204,plain,(
% 59.37/10.05    spl2737_397 <=> ordere2520102378445227354miring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_397])])).
% 59.37/10.05  tff(f34952,plain,(
% 59.37/10.05    ordere2520102378445227354miring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9826])).
% 59.37/10.05  tff(f9826,axiom,(
% 59.37/10.05    ordere2520102378445227354miring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Oordered__comm__semiring_673)).
% 59.37/10.05  tff(f66202,plain,(
% 59.37/10.05    spl2737_396),
% 59.37/10.05    inference(avatar_split_clause,[],[f34951,f66199])).
% 59.37/10.05  tff(f66199,plain,(
% 59.37/10.05    spl2737_396 <=> semidom(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_396])])).
% 59.37/10.05  tff(f34951,plain,(
% 59.37/10.05    semidom(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9861])).
% 59.37/10.05  tff(f9861,axiom,(
% 59.37/10.05    semidom(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemidom_708)).
% 59.37/10.05  tff(f66197,plain,(
% 59.37/10.05    spl2737_395),
% 59.37/10.05    inference(avatar_split_clause,[],[f34950,f66194])).
% 59.37/10.05  tff(f66194,plain,(
% 59.37/10.05    spl2737_395 <=> semiring_1_cancel(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_395])])).
% 59.37/10.05  tff(f34950,plain,(
% 59.37/10.05    semiring_1_cancel(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9832])).
% 59.37/10.05  tff(f9832,axiom,(
% 59.37/10.05    semiring_1_cancel(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring__1__cancel_679)).
% 59.37/10.05  tff(f66192,plain,(
% 59.37/10.05    spl2737_394),
% 59.37/10.05    inference(avatar_split_clause,[],[f34949,f66189])).
% 59.37/10.05  tff(f66189,plain,(
% 59.37/10.05    spl2737_394 <=> semiring_1_cancel(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_394])])).
% 59.37/10.05  tff(f34949,plain,(
% 59.37/10.05    semiring_1_cancel(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9572])).
% 59.37/10.05  tff(f9572,axiom,(
% 59.37/10.05    semiring_1_cancel(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__cancel_420)).
% 59.37/10.05  tff(f66187,plain,(
% 59.37/10.05    spl2737_393),
% 59.37/10.05    inference(avatar_split_clause,[],[f34948,f66184])).
% 59.37/10.05  tff(f66184,plain,(
% 59.37/10.05    spl2737_393 <=> semidom(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_393])])).
% 59.37/10.05  tff(f34948,plain,(
% 59.37/10.05    semidom(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9603])).
% 59.37/10.05  tff(f9603,axiom,(
% 59.37/10.05    semidom(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemidom_451)).
% 59.37/10.05  tff(f66182,plain,(
% 59.37/10.05    spl2737_392),
% 59.37/10.05    inference(avatar_split_clause,[],[f34947,f66179])).
% 59.37/10.05  tff(f66179,plain,(
% 59.37/10.05    spl2737_392 <=> ordere2520102378445227354miring(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_392])])).
% 59.37/10.05  tff(f34947,plain,(
% 59.37/10.05    ordere2520102378445227354miring(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9634])).
% 59.37/10.05  tff(f9634,axiom,(
% 59.37/10.05    ordere2520102378445227354miring(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__comm__semiring_481)).
% 59.37/10.05  tff(f66177,plain,(
% 59.37/10.05    spl2737_391),
% 59.37/10.05    inference(avatar_split_clause,[],[f34946,f66174])).
% 59.37/10.05  tff(f66174,plain,(
% 59.37/10.05    spl2737_391 <=> topolo4958980785337419405_space(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_391])])).
% 59.37/10.05  tff(f34946,plain,(
% 59.37/10.05    topolo4958980785337419405_space(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9151])).
% 59.37/10.05  tff(f9151,axiom,(
% 59.37/10.05    topolo4958980785337419405_space(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Otopological__space_35)).
% 59.37/10.05  tff(f66172,plain,(
% 59.37/10.05    spl2737_390),
% 59.37/10.05    inference(avatar_split_clause,[],[f34945,f66169])).
% 59.37/10.05  tff(f66169,plain,(
% 59.37/10.05    spl2737_390 <=> topolo4958980785337419405_space(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_390])])).
% 59.37/10.05  tff(f34945,plain,(
% 59.37/10.05    topolo4958980785337419405_space(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9358])).
% 59.37/10.05  tff(f9358,axiom,(
% 59.37/10.05    topolo4958980785337419405_space(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Otopological__space_228)).
% 59.37/10.05  tff(f66167,plain,(
% 59.37/10.05    spl2737_389),
% 59.37/10.05    inference(avatar_split_clause,[],[f34944,f66164])).
% 59.37/10.05  tff(f66164,plain,(
% 59.37/10.05    spl2737_389 <=> topolo4958980785337419405_space(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_389])])).
% 59.37/10.05  tff(f34944,plain,(
% 59.37/10.05    topolo4958980785337419405_space(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9027])).
% 59.37/10.05  tff(f9027,axiom,(
% 59.37/10.05    topolo4958980785337419405_space(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Otopological__space)).
% 59.37/10.05  tff(f66162,plain,(
% 59.37/10.05    spl2737_388),
% 59.37/10.05    inference(avatar_split_clause,[],[f34943,f66159])).
% 59.37/10.05  tff(f66159,plain,(
% 59.37/10.05    spl2737_388 <=> topolo4958980785337419405_space(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_388])])).
% 59.37/10.05  tff(f34943,plain,(
% 59.37/10.05    topolo4958980785337419405_space(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9400])).
% 59.37/10.05  tff(f9400,axiom,(
% 59.37/10.05    topolo4958980785337419405_space(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Otopological__space_262)).
% 59.37/10.05  tff(f66157,plain,(
% 59.37/10.05    spl2737_387),
% 59.37/10.05    inference(avatar_split_clause,[],[f34942,f66154])).
% 59.37/10.05  tff(f66154,plain,(
% 59.37/10.05    spl2737_387 <=> topolo4958980785337419405_space(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_387])])).
% 59.37/10.05  tff(f34942,plain,(
% 59.37/10.05    topolo4958980785337419405_space(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9546])).
% 59.37/10.05  tff(f9546,axiom,(
% 59.37/10.05    topolo4958980785337419405_space(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Otopological__space_394)).
% 59.37/10.05  tff(f66152,plain,(
% 59.37/10.05    spl2737_386),
% 59.37/10.05    inference(avatar_split_clause,[],[f34941,f66149])).
% 59.37/10.05  tff(f66149,plain,(
% 59.37/10.05    spl2737_386 <=> linordered_semidom(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_386])])).
% 59.37/10.05  tff(f34941,plain,(
% 59.37/10.05    linordered_semidom(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9178])).
% 59.37/10.05  tff(f9178,axiom,(
% 59.37/10.05    linordered_semidom(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semidom_62)).
% 59.37/10.05  tff(f66147,plain,(
% 59.37/10.05    spl2737_385),
% 59.37/10.05    inference(avatar_split_clause,[],[f34940,f66144])).
% 59.37/10.05  tff(f66144,plain,(
% 59.37/10.05    spl2737_385 <=> linordered_semidom(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_385])])).
% 59.37/10.05  tff(f34940,plain,(
% 59.37/10.05    linordered_semidom(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9063])).
% 59.37/10.05  tff(f9063,axiom,(
% 59.37/10.05    linordered_semidom(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semidom)).
% 59.37/10.05  tff(f66142,plain,(
% 59.37/10.05    spl2737_384),
% 59.37/10.05    inference(avatar_split_clause,[],[f34939,f66139])).
% 59.37/10.05  tff(f66139,plain,(
% 59.37/10.05    spl2737_384 <=> linordered_semidom(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_384])])).
% 59.37/10.05  tff(f34939,plain,(
% 59.37/10.05    linordered_semidom(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9444])).
% 59.37/10.05  tff(f9444,axiom,(
% 59.37/10.05    linordered_semidom(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semidom_293)).
% 59.37/10.05  tff(f66137,plain,(
% 59.37/10.05    spl2737_383),
% 59.37/10.05    inference(avatar_split_clause,[],[f34938,f66134])).
% 59.37/10.05  tff(f66134,plain,(
% 59.37/10.05    spl2737_383 <=> linordered_semidom(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_383])])).
% 59.37/10.05  tff(f34938,plain,(
% 59.37/10.05    linordered_semidom(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9267])).
% 59.37/10.05  tff(f9267,axiom,(
% 59.37/10.05    linordered_semidom(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semidom_145)).
% 59.37/10.05  tff(f66132,plain,(
% 59.37/10.05    spl2737_382),
% 59.37/10.05    inference(avatar_split_clause,[],[f34937,f66129])).
% 59.37/10.05  tff(f66129,plain,(
% 59.37/10.05    spl2737_382 <=> linordered_semidom(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_382])])).
% 59.37/10.05  tff(f34937,plain,(
% 59.37/10.05    linordered_semidom(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9743])).
% 59.37/10.05  tff(f9743,axiom,(
% 59.37/10.05    linordered_semidom(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semidom_590)).
% 59.37/10.05  tff(f66127,plain,(
% 59.37/10.05    spl2737_381),
% 59.37/10.05    inference(avatar_split_clause,[],[f34936,f66124])).
% 59.37/10.05  tff(f66124,plain,(
% 59.37/10.05    spl2737_381 <=> linordered_semidom(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_381])])).
% 59.37/10.05  tff(f34936,plain,(
% 59.37/10.05    linordered_semidom(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9830])).
% 59.37/10.05  tff(f9830,axiom,(
% 59.37/10.05    linordered_semidom(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Olinordered__semidom_677)).
% 59.37/10.05  tff(f66122,plain,(
% 59.37/10.05    spl2737_380),
% 59.37/10.05    inference(avatar_split_clause,[],[f34935,f66119])).
% 59.37/10.05  tff(f66119,plain,(
% 59.37/10.05    spl2737_380 <=> topological_t2_space(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_380])])).
% 59.37/10.05  tff(f34935,plain,(
% 59.37/10.05    topological_t2_space(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9172])).
% 59.37/10.05  tff(f9172,axiom,(
% 59.37/10.05    topological_t2_space(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Ot2__space_56)).
% 59.37/10.05  tff(f66117,plain,(
% 59.37/10.05    spl2737_379),
% 59.37/10.05    inference(avatar_split_clause,[],[f34934,f66114])).
% 59.37/10.05  tff(f66114,plain,(
% 59.37/10.05    spl2737_379 <=> topological_t2_space(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_379])])).
% 59.37/10.05  tff(f34934,plain,(
% 59.37/10.05    topological_t2_space(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9367])).
% 59.37/10.05  tff(f9367,axiom,(
% 59.37/10.05    topological_t2_space(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Ot2__space_237)).
% 59.37/10.05  tff(f66112,plain,(
% 59.37/10.05    spl2737_378),
% 59.37/10.05    inference(avatar_split_clause,[],[f34933,f66109])).
% 59.37/10.05  tff(f66109,plain,(
% 59.37/10.05    spl2737_378 <=> topological_t2_space(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_378])])).
% 59.37/10.05  tff(f34933,plain,(
% 59.37/10.05    topological_t2_space(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9055])).
% 59.37/10.05  tff(f9055,axiom,(
% 59.37/10.05    topological_t2_space(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Ot2__space)).
% 59.37/10.05  tff(f66107,plain,(
% 59.37/10.05    spl2737_377),
% 59.37/10.05    inference(avatar_split_clause,[],[f34932,f66104])).
% 59.37/10.05  tff(f66104,plain,(
% 59.37/10.05    spl2737_377 <=> topological_t2_space(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_377])])).
% 59.37/10.05  tff(f34932,plain,(
% 59.37/10.05    topological_t2_space(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9436])).
% 59.37/10.05  tff(f9436,axiom,(
% 59.37/10.05    topological_t2_space(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ot2__space_286)).
% 59.37/10.05  tff(f66102,plain,(
% 59.37/10.05    spl2737_376),
% 59.37/10.05    inference(avatar_split_clause,[],[f34931,f66099])).
% 59.37/10.05  tff(f66099,plain,(
% 59.37/10.05    spl2737_376 <=> topological_t2_space(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_376])])).
% 59.37/10.05  tff(f34931,plain,(
% 59.37/10.05    topological_t2_space(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9568])).
% 59.37/10.05  tff(f9568,axiom,(
% 59.37/10.05    topological_t2_space(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ot2__space_416)).
% 59.37/10.05  tff(f66097,plain,(
% 59.37/10.05    spl2737_375),
% 59.37/10.05    inference(avatar_split_clause,[],[f34930,f66094])).
% 59.37/10.05  tff(f66094,plain,(
% 59.37/10.05    spl2737_375 <=> comple6319245703460814977attice(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_375])])).
% 59.37/10.05  tff(f34930,plain,(
% 59.37/10.05    comple6319245703460814977attice(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9362])).
% 59.37/10.05  tff(f9362,axiom,(
% 59.37/10.05    comple6319245703460814977attice(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__lattice_232)).
% 59.37/10.05  tff(f66092,plain,(
% 59.37/10.05    spl2737_374),
% 59.37/10.05    inference(avatar_split_clause,[],[f34929,f66089])).
% 59.37/10.05  tff(f66089,plain,(
% 59.37/10.05    spl2737_374 <=> comple6319245703460814977attice(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_374])])).
% 59.37/10.05  tff(f34929,plain,(
% 59.37/10.05    comple6319245703460814977attice(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9627])).
% 59.37/10.05  tff(f9627,axiom,(
% 59.37/10.05    comple6319245703460814977attice(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__lattice_474)).
% 59.37/10.05  tff(f66087,plain,(
% 59.37/10.05    spl2737_373),
% 59.37/10.05    inference(avatar_split_clause,[],[f34928,f66084])).
% 59.37/10.05  tff(f66084,plain,(
% 59.37/10.05    spl2737_373 <=> comple6319245703460814977attice(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_373])])).
% 59.37/10.05  tff(f34928,plain,(
% 59.37/10.05    comple6319245703460814977attice(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9684])).
% 59.37/10.05  tff(f9684,axiom,(
% 59.37/10.05    comple6319245703460814977attice(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__lattice_531)).
% 59.37/10.05  tff(f66082,plain,(
% 59.37/10.05    spl2737_372),
% 59.37/10.05    inference(avatar_split_clause,[],[f34927,f66079])).
% 59.37/10.05  tff(f66079,plain,(
% 59.37/10.05    spl2737_372 <=> linord8928482502909563296strict(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_372])])).
% 59.37/10.05  tff(f34927,plain,(
% 59.37/10.05    linord8928482502909563296strict(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9161])).
% 59.37/10.05  tff(f9161,axiom,(
% 59.37/10.05    linord8928482502909563296strict(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring__strict_45)).
% 59.37/10.05  tff(f66077,plain,(
% 59.37/10.05    spl2737_371),
% 59.37/10.05    inference(avatar_split_clause,[],[f34926,f66074])).
% 59.37/10.05  tff(f66074,plain,(
% 59.37/10.05    spl2737_371 <=> bounde4967611905675639751up_bot(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_371])])).
% 59.37/10.05  tff(f34926,plain,(
% 59.37/10.05    bounde4967611905675639751up_bot(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9360])).
% 59.37/10.05  tff(f9360,axiom,(
% 59.37/10.05    bounde4967611905675639751up_bot(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__semilattice__sup__bot_230)).
% 59.37/10.05  tff(f66072,plain,(
% 59.37/10.05    spl2737_370),
% 59.37/10.05    inference(avatar_split_clause,[],[f34925,f66069])).
% 59.37/10.05  tff(f66069,plain,(
% 59.37/10.05    spl2737_370 <=> linord8928482502909563296strict(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_370])])).
% 59.37/10.05  tff(f34925,plain,(
% 59.37/10.05    linord8928482502909563296strict(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9040])).
% 59.37/10.05  tff(f9040,axiom,(
% 59.37/10.05    linord8928482502909563296strict(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__strict)).
% 59.37/10.05  tff(f66067,plain,(
% 59.37/10.05    spl2737_369),
% 59.37/10.05    inference(avatar_split_clause,[],[f34924,f66064])).
% 59.37/10.05  tff(f66064,plain,(
% 59.37/10.05    spl2737_369 <=> linord8928482502909563296strict(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_369])])).
% 59.37/10.05  tff(f34924,plain,(
% 59.37/10.05    linord8928482502909563296strict(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9416])).
% 59.37/10.05  tff(f9416,axiom,(
% 59.37/10.05    linord8928482502909563296strict(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__strict_273)).
% 59.37/10.05  tff(f66062,plain,(
% 59.37/10.05    spl2737_368),
% 59.37/10.05    inference(avatar_split_clause,[],[f34923,f66059])).
% 59.37/10.05  tff(f66059,plain,(
% 59.37/10.05    spl2737_368 <=> linord8928482502909563296strict(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_368])])).
% 59.37/10.05  tff(f34923,plain,(
% 59.37/10.05    linord8928482502909563296strict(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9249])).
% 59.37/10.05  tff(f9249,axiom,(
% 59.37/10.05    linord8928482502909563296strict(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__strict_128)).
% 59.37/10.05  tff(f66057,plain,(
% 59.37/10.05    spl2737_367),
% 59.37/10.05    inference(avatar_split_clause,[],[f34922,f66054])).
% 59.37/10.05  tff(f66054,plain,(
% 59.37/10.05    spl2737_367 <=> linord8928482502909563296strict(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_367])])).
% 59.37/10.05  tff(f34922,plain,(
% 59.37/10.05    linord8928482502909563296strict(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9725])).
% 59.37/10.05  tff(f9725,axiom,(
% 59.37/10.05    linord8928482502909563296strict(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__strict_572)).
% 59.37/10.05  tff(f66052,plain,(
% 59.37/10.05    spl2737_366),
% 59.37/10.05    inference(avatar_split_clause,[],[f34921,f66049])).
% 59.37/10.05  tff(f66049,plain,(
% 59.37/10.05    spl2737_366 <=> linord8928482502909563296strict(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_366])])).
% 59.37/10.05  tff(f34921,plain,(
% 59.37/10.05    linord8928482502909563296strict(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9818])).
% 59.37/10.05  tff(f9818,axiom,(
% 59.37/10.05    linord8928482502909563296strict(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Olinordered__semiring__strict_665)).
% 59.37/10.05  tff(f66047,plain,(
% 59.37/10.05    spl2737_365),
% 59.37/10.05    inference(avatar_split_clause,[],[f34920,f66044])).
% 59.37/10.05  tff(f66044,plain,(
% 59.37/10.05    spl2737_365 <=> bounde4967611905675639751up_bot(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_365])])).
% 59.37/10.05  tff(f34920,plain,(
% 59.37/10.05    bounde4967611905675639751up_bot(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9623])).
% 59.37/10.05  tff(f9623,axiom,(
% 59.37/10.05    bounde4967611905675639751up_bot(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__semilattice__sup__bot_471)).
% 59.37/10.05  tff(f66042,plain,(
% 59.37/10.05    spl2737_364),
% 59.37/10.05    inference(avatar_split_clause,[],[f34919,f66039])).
% 59.37/10.05  tff(f66039,plain,(
% 59.37/10.05    spl2737_364 <=> bounde4967611905675639751up_bot(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_364])])).
% 59.37/10.05  tff(f34919,plain,(
% 59.37/10.05    bounde4967611905675639751up_bot(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9681])).
% 59.37/10.05  tff(f9681,axiom,(
% 59.37/10.05    bounde4967611905675639751up_bot(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__semilattice__sup__bot_528)).
% 59.37/10.05  tff(f66037,plain,(
% 59.37/10.05    spl2737_363),
% 59.37/10.05    inference(avatar_split_clause,[],[f34918,f66034])).
% 59.37/10.05  tff(f66034,plain,(
% 59.37/10.05    spl2737_363 <=> ordere2412721322843649153imp_le(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_363])])).
% 59.37/10.05  tff(f34918,plain,(
% 59.37/10.05    ordere2412721322843649153imp_le(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9144])).
% 59.37/10.05  tff(f9144,axiom,(
% 59.37/10.05    ordere2412721322843649153imp_le(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le_29)).
% 59.37/10.05  tff(f66032,plain,(
% 59.37/10.05    spl2737_362),
% 59.37/10.05    inference(avatar_split_clause,[],[f34917,f66029])).
% 59.37/10.05  tff(f66029,plain,(
% 59.37/10.05    spl2737_362 <=> bounde4346867609351753570nf_top(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_362])])).
% 59.37/10.05  tff(f34917,plain,(
% 59.37/10.05    bounde4346867609351753570nf_top(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9361])).
% 59.37/10.05  tff(f9361,axiom,(
% 59.37/10.05    bounde4346867609351753570nf_top(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__semilattice__inf__top_231)).
% 59.37/10.05  tff(f66027,plain,(
% 59.37/10.05    spl2737_361),
% 59.37/10.05    inference(avatar_split_clause,[],[f34916,f66024])).
% 59.37/10.05  tff(f66024,plain,(
% 59.37/10.05    spl2737_361 <=> ordere2412721322843649153imp_le(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_361])])).
% 59.37/10.05  tff(f34916,plain,(
% 59.37/10.05    ordere2412721322843649153imp_le(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9021])).
% 59.37/10.05  tff(f9021,axiom,(
% 59.37/10.05    ordere2412721322843649153imp_le(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add__imp__le)).
% 59.37/10.05  tff(f66022,plain,(
% 59.37/10.05    spl2737_360),
% 59.37/10.05    inference(avatar_split_clause,[],[f34915,f66019])).
% 59.37/10.05  tff(f66019,plain,(
% 59.37/10.05    spl2737_360 <=> ordere2412721322843649153imp_le(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_360])])).
% 59.37/10.05  tff(f34915,plain,(
% 59.37/10.05    ordere2412721322843649153imp_le(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9395])).
% 59.37/10.05  tff(f9395,axiom,(
% 59.37/10.05    ordere2412721322843649153imp_le(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le_258)).
% 59.37/10.05  tff(f66017,plain,(
% 59.37/10.05    spl2737_359),
% 59.37/10.05    inference(avatar_split_clause,[],[f34914,f66014])).
% 59.37/10.05  tff(f66014,plain,(
% 59.37/10.05    spl2737_359 <=> ordere2412721322843649153imp_le(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_359])])).
% 59.37/10.05  tff(f34914,plain,(
% 59.37/10.05    ordere2412721322843649153imp_le(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9239])).
% 59.37/10.05  tff(f9239,axiom,(
% 59.37/10.05    ordere2412721322843649153imp_le(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add__imp__le_120)).
% 59.37/10.05  tff(f66012,plain,(
% 59.37/10.05    spl2737_358),
% 59.37/10.05    inference(avatar_split_clause,[],[f34913,f66009])).
% 59.37/10.05  tff(f66009,plain,(
% 59.37/10.05    spl2737_358 <=> ordere2412721322843649153imp_le(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_358])])).
% 59.37/10.05  tff(f34913,plain,(
% 59.37/10.05    ordere2412721322843649153imp_le(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9713])).
% 59.37/10.05  tff(f9713,axiom,(
% 59.37/10.05    ordere2412721322843649153imp_le(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add__imp__le_560)).
% 59.37/10.05  tff(f66007,plain,(
% 59.37/10.05    spl2737_357),
% 59.37/10.05    inference(avatar_split_clause,[],[f34912,f66004])).
% 59.37/10.05  tff(f66004,plain,(
% 59.37/10.05    spl2737_357 <=> ordere2412721322843649153imp_le(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_357])])).
% 59.37/10.05  tff(f34912,plain,(
% 59.37/10.05    ordere2412721322843649153imp_le(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9809])).
% 59.37/10.05  tff(f9809,axiom,(
% 59.37/10.05    ordere2412721322843649153imp_le(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oordered__ab__semigroup__add__imp__le_656)).
% 59.37/10.05  tff(f66002,plain,(
% 59.37/10.05    spl2737_356),
% 59.37/10.05    inference(avatar_split_clause,[],[f34911,f65999])).
% 59.37/10.05  tff(f65999,plain,(
% 59.37/10.05    spl2737_356 <=> bounde4346867609351753570nf_top(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_356])])).
% 59.37/10.05  tff(f34911,plain,(
% 59.37/10.05    bounde4346867609351753570nf_top(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9624])).
% 59.37/10.05  tff(f9624,axiom,(
% 59.37/10.05    bounde4346867609351753570nf_top(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__semilattice__inf__top_472)).
% 59.37/10.05  tff(f65997,plain,(
% 59.37/10.05    spl2737_355),
% 59.37/10.05    inference(avatar_split_clause,[],[f34910,f65994])).
% 59.37/10.05  tff(f65994,plain,(
% 59.37/10.05    spl2737_355 <=> bounde4346867609351753570nf_top(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_355])])).
% 59.37/10.05  tff(f34910,plain,(
% 59.37/10.05    bounde4346867609351753570nf_top(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9682])).
% 59.37/10.05  tff(f9682,axiom,(
% 59.37/10.05    bounde4346867609351753570nf_top(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__semilattice__inf__top_529)).
% 59.37/10.05  tff(f65992,plain,(
% 59.37/10.05    spl2737_354),
% 59.37/10.05    inference(avatar_split_clause,[],[f34909,f65989])).
% 59.37/10.05  tff(f65989,plain,(
% 59.37/10.05    spl2737_354 <=> ordere580206878836729694up_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_354])])).
% 59.37/10.05  tff(f34909,plain,(
% 59.37/10.05    ordere580206878836729694up_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9143])).
% 59.37/10.05  tff(f9143,axiom,(
% 59.37/10.05    ordere580206878836729694up_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__ab__semigroup__add_28)).
% 59.37/10.05  tff(f65987,plain,(
% 59.37/10.05    spl2737_353),
% 59.37/10.05    inference(avatar_split_clause,[],[f34908,f65984])).
% 59.37/10.05  tff(f65984,plain,(
% 59.37/10.05    spl2737_353 <=> order_top(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_353])])).
% 59.37/10.05  tff(f34908,plain,(
% 59.37/10.05    order_top(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9371])).
% 59.37/10.05  tff(f9371,axiom,(
% 59.37/10.05    order_top(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__top_241)).
% 59.37/10.05  tff(f65982,plain,(
% 59.37/10.05    spl2737_352),
% 59.37/10.05    inference(avatar_split_clause,[],[f34907,f65979])).
% 59.37/10.05  tff(f65979,plain,(
% 59.37/10.05    spl2737_352 <=> ordere580206878836729694up_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_352])])).
% 59.37/10.05  tff(f34907,plain,(
% 59.37/10.05    ordere580206878836729694up_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9020])).
% 59.37/10.05  tff(f9020,axiom,(
% 59.37/10.05    ordere580206878836729694up_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__ab__semigroup__add)).
% 59.37/10.05  tff(f65977,plain,(
% 59.37/10.05    spl2737_351),
% 59.37/10.05    inference(avatar_split_clause,[],[f34906,f65974])).
% 59.37/10.05  tff(f65974,plain,(
% 59.37/10.05    spl2737_351 <=> ordere580206878836729694up_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_351])])).
% 59.37/10.05  tff(f34906,plain,(
% 59.37/10.05    ordere580206878836729694up_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9394])).
% 59.37/10.05  tff(f9394,axiom,(
% 59.37/10.05    ordere580206878836729694up_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add_257)).
% 59.37/10.05  tff(f65972,plain,(
% 59.37/10.05    spl2737_350),
% 59.37/10.05    inference(avatar_split_clause,[],[f34905,f65969])).
% 59.37/10.05  tff(f65969,plain,(
% 59.37/10.05    spl2737_350 <=> ordere580206878836729694up_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_350])])).
% 59.37/10.05  tff(f34905,plain,(
% 59.37/10.05    ordere580206878836729694up_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9238])).
% 59.37/10.05  tff(f9238,axiom,(
% 59.37/10.05    ordere580206878836729694up_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__ab__semigroup__add_119)).
% 59.37/10.05  tff(f65967,plain,(
% 59.37/10.05    spl2737_349),
% 59.37/10.05    inference(avatar_split_clause,[],[f34904,f65964])).
% 59.37/10.05  tff(f65964,plain,(
% 59.37/10.05    spl2737_349 <=> ordere580206878836729694up_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_349])])).
% 59.37/10.05  tff(f34904,plain,(
% 59.37/10.05    ordere580206878836729694up_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9712])).
% 59.37/10.05  tff(f9712,axiom,(
% 59.37/10.05    ordere580206878836729694up_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__ab__semigroup__add_559)).
% 59.37/10.05  tff(f65962,plain,(
% 59.37/10.05    spl2737_348),
% 59.37/10.05    inference(avatar_split_clause,[],[f34903,f65959])).
% 59.37/10.05  tff(f65959,plain,(
% 59.37/10.05    spl2737_348 <=> ordere580206878836729694up_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_348])])).
% 59.37/10.05  tff(f34903,plain,(
% 59.37/10.05    ordere580206878836729694up_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9808])).
% 59.37/10.05  tff(f9808,axiom,(
% 59.37/10.05    ordere580206878836729694up_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oordered__cancel__ab__semigroup__add_655)).
% 59.37/10.05  tff(f65957,plain,(
% 59.37/10.05    spl2737_347),
% 59.37/10.05    inference(avatar_split_clause,[],[f34902,f65954])).
% 59.37/10.05  tff(f65954,plain,(
% 59.37/10.05    spl2737_347 <=> order_top(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_347])])).
% 59.37/10.05  tff(f34902,plain,(
% 59.37/10.05    order_top(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9651])).
% 59.37/10.05  tff(f9651,axiom,(
% 59.37/10.05    order_top(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__top_498)).
% 59.37/10.05  tff(f65952,plain,(
% 59.37/10.05    spl2737_346),
% 59.37/10.05    inference(avatar_split_clause,[],[f34901,f65949])).
% 59.37/10.05  tff(f65949,plain,(
% 59.37/10.05    spl2737_346 <=> order_top(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_346])])).
% 59.37/10.05  tff(f34901,plain,(
% 59.37/10.05    order_top(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9692])).
% 59.37/10.05  tff(f9692,axiom,(
% 59.37/10.05    order_top(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__top_539)).
% 59.37/10.05  tff(f65947,plain,(
% 59.37/10.05    spl2737_345),
% 59.37/10.05    inference(avatar_split_clause,[],[f34900,f65944])).
% 59.37/10.05  tff(f65944,plain,(
% 59.37/10.05    spl2737_345 <=> ordere1937475149494474687imp_le(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_345])])).
% 59.37/10.05  tff(f34900,plain,(
% 59.37/10.05    ordere1937475149494474687imp_le(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9135])).
% 59.37/10.05  tff(f9135,axiom,(
% 59.37/10.05    ordere1937475149494474687imp_le(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_21)).
% 59.37/10.05  tff(f65942,plain,(
% 59.37/10.05    spl2737_344),
% 59.37/10.05    inference(avatar_split_clause,[],[f34899,f65939])).
% 59.37/10.05  tff(f65939,plain,(
% 59.37/10.05    spl2737_344 <=> counta3822494911875563373attice(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_344])])).
% 59.37/10.05  tff(f34899,plain,(
% 59.37/10.05    counta3822494911875563373attice(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9355])).
% 59.37/10.05  tff(f9355,axiom,(
% 59.37/10.05    counta3822494911875563373attice(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Countable__Complete__Lattices_Ocountable__complete__lattice_225)).
% 59.37/10.05  tff(f65937,plain,(
% 59.37/10.05    spl2737_343),
% 59.37/10.05    inference(avatar_split_clause,[],[f34898,f65934])).
% 59.37/10.05  tff(f65934,plain,(
% 59.37/10.05    spl2737_343 <=> ordere1937475149494474687imp_le(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_343])])).
% 59.37/10.05  tff(f34898,plain,(
% 59.37/10.05    ordere1937475149494474687imp_le(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9012])).
% 59.37/10.05  tff(f9012,axiom,(
% 59.37/10.05    ordere1937475149494474687imp_le(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__monoid__add__imp__le)).
% 59.37/10.05  tff(f65932,plain,(
% 59.37/10.05    spl2737_342),
% 59.37/10.05    inference(avatar_split_clause,[],[f34897,f65929])).
% 59.37/10.05  tff(f65929,plain,(
% 59.37/10.05    spl2737_342 <=> ordere1937475149494474687imp_le(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_342])])).
% 59.37/10.05  tff(f34897,plain,(
% 59.37/10.05    ordere1937475149494474687imp_le(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9385])).
% 59.37/10.05  tff(f9385,axiom,(
% 59.37/10.05    ordere1937475149494474687imp_le(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le_254)).
% 59.37/10.05  tff(f65927,plain,(
% 59.37/10.05    spl2737_341),
% 59.37/10.05    inference(avatar_split_clause,[],[f34896,f65924])).
% 59.37/10.05  tff(f65924,plain,(
% 59.37/10.05    spl2737_341 <=> ordere1937475149494474687imp_le(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_341])])).
% 59.37/10.05  tff(f34896,plain,(
% 59.37/10.05    ordere1937475149494474687imp_le(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9235])).
% 59.37/10.05  tff(f9235,axiom,(
% 59.37/10.05    ordere1937475149494474687imp_le(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_116)).
% 59.37/10.05  tff(f65922,plain,(
% 59.37/10.05    spl2737_340),
% 59.37/10.05    inference(avatar_split_clause,[],[f34895,f65919])).
% 59.37/10.05  tff(f65919,plain,(
% 59.37/10.05    spl2737_340 <=> ordere1937475149494474687imp_le(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_340])])).
% 59.37/10.05  tff(f34895,plain,(
% 59.37/10.05    ordere1937475149494474687imp_le(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9705])).
% 59.37/10.05  tff(f9705,axiom,(
% 59.37/10.05    ordere1937475149494474687imp_le(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__monoid__add__imp__le_552)).
% 59.37/10.05  tff(f65917,plain,(
% 59.37/10.05    spl2737_339),
% 59.37/10.05    inference(avatar_split_clause,[],[f34894,f65914])).
% 59.37/10.05  tff(f65914,plain,(
% 59.37/10.05    spl2737_339 <=> ordere1937475149494474687imp_le(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_339])])).
% 59.37/10.05  tff(f34894,plain,(
% 59.37/10.05    ordere1937475149494474687imp_le(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9803])).
% 59.37/10.05  tff(f9803,axiom,(
% 59.37/10.05    ordere1937475149494474687imp_le(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oordered__ab__semigroup__monoid__add__imp__le_650)).
% 59.37/10.05  tff(f65912,plain,(
% 59.37/10.05    spl2737_338),
% 59.37/10.05    inference(avatar_split_clause,[],[f34893,f65909])).
% 59.37/10.05  tff(f65909,plain,(
% 59.37/10.05    spl2737_338 <=> counta3822494911875563373attice(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_338])])).
% 59.37/10.05  tff(f34893,plain,(
% 59.37/10.05    counta3822494911875563373attice(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9618])).
% 59.37/10.05  tff(f9618,axiom,(
% 59.37/10.05    counta3822494911875563373attice(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Countable__Complete__Lattices_Ocountable__complete__lattice_466)).
% 59.37/10.05  tff(f65907,plain,(
% 59.37/10.05    spl2737_337),
% 59.37/10.05    inference(avatar_split_clause,[],[f34892,f65904])).
% 59.37/10.05  tff(f65904,plain,(
% 59.37/10.05    spl2737_337 <=> counta3822494911875563373attice(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_337])])).
% 59.37/10.05  tff(f34892,plain,(
% 59.37/10.05    counta3822494911875563373attice(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9678])).
% 59.37/10.05  tff(f9678,axiom,(
% 59.37/10.05    counta3822494911875563373attice(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Countable__Complete__Lattices_Ocountable__complete__lattice_525)).
% 59.37/10.05  tff(f65902,plain,(
% 59.37/10.05    spl2737_336),
% 59.37/10.05    inference(avatar_split_clause,[],[f34891,f65899])).
% 59.37/10.05  tff(f65899,plain,(
% 59.37/10.05    spl2737_336 <=> ordere8940638589300402666id_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_336])])).
% 59.37/10.05  tff(f34891,plain,(
% 59.37/10.05    ordere8940638589300402666id_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9148])).
% 59.37/10.05  tff(f9148,axiom,(
% 59.37/10.05    ordere8940638589300402666id_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__add_33)).
% 59.37/10.05  tff(f65897,plain,(
% 59.37/10.05    spl2737_335),
% 59.37/10.05    inference(avatar_split_clause,[],[f34890,f65894])).
% 59.37/10.05  tff(f65894,plain,(
% 59.37/10.05    spl2737_335 <=> ordere8940638589300402666id_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_335])])).
% 59.37/10.05  tff(f34890,plain,(
% 59.37/10.05    ordere8940638589300402666id_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9025])).
% 59.37/10.05  tff(f9025,axiom,(
% 59.37/10.05    ordere8940638589300402666id_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__comm__monoid__add)).
% 59.37/10.05  tff(f65892,plain,(
% 59.37/10.05    spl2737_334),
% 59.37/10.05    inference(avatar_split_clause,[],[f34889,f65889])).
% 59.37/10.05  tff(f65889,plain,(
% 59.37/10.05    spl2737_334 <=> ordere8940638589300402666id_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_334])])).
% 59.37/10.05  tff(f34889,plain,(
% 59.37/10.05    ordere8940638589300402666id_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9399])).
% 59.37/10.05  tff(f9399,axiom,(
% 59.37/10.05    ordere8940638589300402666id_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__comm__monoid__add_261)).
% 59.37/10.05  tff(f65887,plain,(
% 59.37/10.05    spl2737_333),
% 59.37/10.05    inference(avatar_split_clause,[],[f34888,f65884])).
% 59.37/10.05  tff(f65884,plain,(
% 59.37/10.05    spl2737_333 <=> ordere8940638589300402666id_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_333])])).
% 59.37/10.05  tff(f34888,plain,(
% 59.37/10.05    ordere8940638589300402666id_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9242])).
% 59.37/10.05  tff(f9242,axiom,(
% 59.37/10.05    ordere8940638589300402666id_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__comm__monoid__add_123)).
% 59.37/10.05  tff(f65882,plain,(
% 59.37/10.05    spl2737_332),
% 59.37/10.05    inference(avatar_split_clause,[],[f34887,f65879])).
% 59.37/10.05  tff(f65879,plain,(
% 59.37/10.05    spl2737_332 <=> ordere8940638589300402666id_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_332])])).
% 59.37/10.05  tff(f34887,plain,(
% 59.37/10.05    ordere8940638589300402666id_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9717])).
% 59.37/10.05  tff(f9717,axiom,(
% 59.37/10.05    ordere8940638589300402666id_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__comm__monoid__add_564)).
% 59.37/10.05  tff(f65877,plain,(
% 59.37/10.05    spl2737_331),
% 59.37/10.05    inference(avatar_split_clause,[],[f34886,f65874])).
% 59.37/10.05  tff(f65874,plain,(
% 59.37/10.05    spl2737_331 <=> ordere8940638589300402666id_add(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_331])])).
% 59.37/10.05  tff(f34886,plain,(
% 59.37/10.05    ordere8940638589300402666id_add(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9813])).
% 59.37/10.05  tff(f9813,axiom,(
% 59.37/10.05    ordere8940638589300402666id_add(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Oordered__cancel__comm__monoid__add_660)).
% 59.37/10.05  tff(f65872,plain,(
% 59.37/10.05    spl2737_330),
% 59.37/10.05    inference(avatar_split_clause,[],[f34885,f65869])).
% 59.37/10.05  tff(f65869,plain,(
% 59.37/10.05    spl2737_330 <=> ordered_semiring_0(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_330])])).
% 59.37/10.05  tff(f34885,plain,(
% 59.37/10.05    ordered_semiring_0(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9177])).
% 59.37/10.05  tff(f9177,axiom,(
% 59.37/10.05    ordered_semiring_0(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring__0_61)).
% 59.37/10.05  tff(f65867,plain,(
% 59.37/10.05    spl2737_329),
% 59.37/10.05    inference(avatar_split_clause,[],[f34884,f65864])).
% 59.37/10.05  tff(f65864,plain,(
% 59.37/10.05    spl2737_329 <=> bounded_lattice(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_329])])).
% 59.37/10.05  tff(f34884,plain,(
% 59.37/10.05    bounded_lattice(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f8982])).
% 59.37/10.05  tff(f8982,axiom,(
% 59.37/10.05    bounded_lattice(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice_3)).
% 59.37/10.05  tff(f65862,plain,(
% 59.37/10.05    spl2737_328),
% 59.37/10.05    inference(avatar_split_clause,[],[f34883,f65859])).
% 59.37/10.05  tff(f65859,plain,(
% 59.37/10.05    spl2737_328 <=> ordered_semiring_0(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_328])])).
% 59.37/10.05  tff(f34883,plain,(
% 59.37/10.05    ordered_semiring_0(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9062])).
% 59.37/10.05  tff(f9062,axiom,(
% 59.37/10.05    ordered_semiring_0(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring__0)).
% 59.37/10.05  tff(f65857,plain,(
% 59.37/10.05    spl2737_327),
% 59.37/10.05    inference(avatar_split_clause,[],[f34882,f65854])).
% 59.37/10.05  tff(f65854,plain,(
% 59.37/10.05    spl2737_327 <=> ordered_semiring_0(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_327])])).
% 59.37/10.05  tff(f34882,plain,(
% 59.37/10.05    ordered_semiring_0(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9443])).
% 59.37/10.05  tff(f9443,axiom,(
% 59.37/10.05    ordered_semiring_0(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring__0_292)).
% 59.37/10.05  tff(f65852,plain,(
% 59.37/10.05    spl2737_326),
% 59.37/10.05    inference(avatar_split_clause,[],[f34881,f65849])).
% 59.37/10.05  tff(f65849,plain,(
% 59.37/10.05    spl2737_326 <=> ordered_semiring_0(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_326])])).
% 59.37/10.05  tff(f34881,plain,(
% 59.37/10.05    ordered_semiring_0(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9266])).
% 59.37/10.05  tff(f9266,axiom,(
% 59.37/10.05    ordered_semiring_0(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring__0_144)).
% 59.37/10.05  tff(f65847,plain,(
% 59.37/10.05    spl2737_325),
% 59.37/10.05    inference(avatar_split_clause,[],[f34880,f65844])).
% 59.37/10.05  tff(f65844,plain,(
% 59.37/10.05    spl2737_325 <=> ordered_semiring_0(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_325])])).
% 59.37/10.05  tff(f34880,plain,(
% 59.37/10.05    ordered_semiring_0(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9742])).
% 59.37/10.05  tff(f9742,axiom,(
% 59.37/10.05    ordered_semiring_0(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring__0_589)).
% 59.37/10.05  tff(f65842,plain,(
% 59.37/10.05    spl2737_324),
% 59.37/10.05    inference(avatar_split_clause,[],[f34879,f65839])).
% 59.37/10.05  tff(f65839,plain,(
% 59.37/10.05    spl2737_324 <=> ordered_semiring_0(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_324])])).
% 59.37/10.05  tff(f34879,plain,(
% 59.37/10.05    ordered_semiring_0(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9829])).
% 59.37/10.05  tff(f9829,axiom,(
% 59.37/10.05    ordered_semiring_0(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Oordered__semiring__0_676)).
% 59.37/10.05  tff(f65837,plain,(
% 59.37/10.05    spl2737_323),
% 59.37/10.05    inference(avatar_split_clause,[],[f34878,f65834])).
% 59.37/10.05  tff(f65834,plain,(
% 59.37/10.05    spl2737_323 <=> bounded_lattice(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_323])])).
% 59.37/10.05  tff(f34878,plain,(
% 59.37/10.05    bounded_lattice(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f8980])).
% 59.37/10.05  tff(f8980,axiom,(
% 59.37/10.05    bounded_lattice(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice_1)).
% 59.37/10.05  tff(f65832,plain,(
% 59.37/10.05    spl2737_322),
% 59.37/10.05    inference(avatar_split_clause,[],[f34877,f65829])).
% 59.37/10.05  tff(f65829,plain,(
% 59.37/10.05    spl2737_322 <=> bounded_lattice(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_322])])).
% 59.37/10.05  tff(f34877,plain,(
% 59.37/10.05    bounded_lattice(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f8979])).
% 59.37/10.05  tff(f8979,axiom,(
% 59.37/10.05    bounded_lattice(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice)).
% 59.37/10.05  tff(f65827,plain,(
% 59.37/10.05    spl2737_321),
% 59.37/10.05    inference(avatar_split_clause,[],[f34876,f65824])).
% 59.37/10.05  tff(f65824,plain,(
% 59.37/10.05    spl2737_321 <=> semiri1453513574482234551roduct(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_321])])).
% 59.37/10.05  tff(f34876,plain,(
% 59.37/10.05    semiri1453513574482234551roduct(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9133])).
% 59.37/10.05  tff(f9133,axiom,(
% 59.37/10.05    semiri1453513574482234551roduct(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_19)).
% 59.37/10.05  tff(f65822,plain,(
% 59.37/10.05    spl2737_320),
% 59.37/10.05    inference(avatar_split_clause,[],[f34875,f65819])).
% 59.37/10.05  tff(f65819,plain,(
% 59.37/10.05    spl2737_320 <=> semiri1453513574482234551roduct(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_320])])).
% 59.37/10.05  tff(f34875,plain,(
% 59.37/10.05    semiri1453513574482234551roduct(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9009])).
% 59.37/10.05  tff(f9009,axiom,(
% 59.37/10.05    semiri1453513574482234551roduct(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 59.37/10.05  tff(f65817,plain,(
% 59.37/10.05    spl2737_319),
% 59.37/10.05    inference(avatar_split_clause,[],[f34874,f65814])).
% 59.37/10.05  tff(f65814,plain,(
% 59.37/10.05    spl2737_319 <=> semiri1453513574482234551roduct(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_319])])).
% 59.37/10.05  tff(f34874,plain,(
% 59.37/10.05    semiri1453513574482234551roduct(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9383])).
% 59.37/10.05  tff(f9383,axiom,(
% 59.37/10.05    semiri1453513574482234551roduct(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_253)).
% 59.37/10.05  tff(f65812,plain,(
% 59.37/10.05    spl2737_318),
% 59.37/10.05    inference(avatar_split_clause,[],[f34873,f65809])).
% 59.37/10.05  tff(f65809,plain,(
% 59.37/10.05    spl2737_318 <=> semiri1453513574482234551roduct(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_318])])).
% 59.37/10.05  tff(f34873,plain,(
% 59.37/10.05    semiri1453513574482234551roduct(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9234])).
% 59.37/10.05  tff(f9234,axiom,(
% 59.37/10.05    semiri1453513574482234551roduct(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_115)).
% 59.37/10.05  tff(f65807,plain,(
% 59.37/10.05    spl2737_317),
% 59.37/10.05    inference(avatar_split_clause,[],[f34872,f65804])).
% 59.37/10.05  tff(f65804,plain,(
% 59.37/10.05    spl2737_317 <=> semiri1453513574482234551roduct(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_317])])).
% 59.37/10.05  tff(f34872,plain,(
% 59.37/10.05    semiri1453513574482234551roduct(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9702])).
% 59.37/10.05  tff(f9702,axiom,(
% 59.37/10.05    semiri1453513574482234551roduct(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_549)).
% 59.37/10.05  tff(f65802,plain,(
% 59.37/10.05    spl2737_316),
% 59.37/10.05    inference(avatar_split_clause,[],[f34871,f65799])).
% 59.37/10.05  tff(f65799,plain,(
% 59.37/10.05    spl2737_316 <=> semiri1453513574482234551roduct(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_316])])).
% 59.37/10.05  tff(f34871,plain,(
% 59.37/10.05    semiri1453513574482234551roduct(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9539])).
% 59.37/10.05  tff(f9539,axiom,(
% 59.37/10.05    semiri1453513574482234551roduct(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_387)).
% 59.37/10.05  tff(f65797,plain,(
% 59.37/10.05    spl2737_315),
% 59.37/10.05    inference(avatar_split_clause,[],[f34870,f65794])).
% 59.37/10.05  tff(f65794,plain,(
% 59.37/10.05    spl2737_315 <=> linord2810124833399127020strict(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_315])])).
% 59.37/10.05  tff(f34870,plain,(
% 59.37/10.05    linord2810124833399127020strict(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9146])).
% 59.37/10.05  tff(f9146,axiom,(
% 59.37/10.05    linord2810124833399127020strict(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__comm__semiring__strict_31)).
% 59.37/10.05  tff(f65792,plain,(
% 59.37/10.05    spl2737_314),
% 59.37/10.05    inference(avatar_split_clause,[],[f34869,f65789])).
% 59.37/10.05  tff(f65789,plain,(
% 59.37/10.05    spl2737_314 <=> linordered_semiring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_314])])).
% 59.37/10.05  tff(f34869,plain,(
% 59.37/10.05    linordered_semiring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9176])).
% 59.37/10.05  tff(f9176,axiom,(
% 59.37/10.05    linordered_semiring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring_60)).
% 59.37/10.05  tff(f65787,plain,(
% 59.37/10.05    spl2737_313),
% 59.37/10.05    inference(avatar_split_clause,[],[f34868,f65784])).
% 59.37/10.05  tff(f65784,plain,(
% 59.37/10.05    spl2737_313 <=> bounded_lattice_top(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_313])])).
% 59.37/10.05  tff(f34868,plain,(
% 59.37/10.05    bounded_lattice_top(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9365])).
% 59.37/10.05  tff(f9365,axiom,(
% 59.37/10.05    bounded_lattice_top(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice__top_235)).
% 59.37/10.05  tff(f65782,plain,(
% 59.37/10.05    spl2737_312),
% 59.37/10.05    inference(avatar_split_clause,[],[f34867,f65779])).
% 59.37/10.05  tff(f65779,plain,(
% 59.37/10.05    spl2737_312 <=> bounded_lattice_bot(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_312])])).
% 59.37/10.05  tff(f34867,plain,(
% 59.37/10.05    bounded_lattice_bot(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9366])).
% 59.37/10.05  tff(f9366,axiom,(
% 59.37/10.05    bounded_lattice_bot(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice__bot_236)).
% 59.37/10.05  tff(f65777,plain,(
% 59.37/10.05    spl2737_311),
% 59.37/10.05    inference(avatar_split_clause,[],[f34866,f65774])).
% 59.37/10.05  tff(f65774,plain,(
% 59.37/10.05    spl2737_311 <=> linord2810124833399127020strict(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_311])])).
% 59.37/10.05  tff(f34866,plain,(
% 59.37/10.05    linord2810124833399127020strict(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9023])).
% 59.37/10.05  tff(f9023,axiom,(
% 59.37/10.05    linord2810124833399127020strict(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__comm__semiring__strict)).
% 59.37/10.05  tff(f65772,plain,(
% 59.37/10.05    spl2737_310),
% 59.37/10.05    inference(avatar_split_clause,[],[f34865,f65769])).
% 59.37/10.05  tff(f65769,plain,(
% 59.37/10.05    spl2737_310 <=> linordered_semiring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_310])])).
% 59.37/10.05  tff(f34865,plain,(
% 59.37/10.05    linordered_semiring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9061])).
% 59.37/10.05  tff(f9061,axiom,(
% 59.37/10.05    linordered_semiring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring)).
% 59.37/10.05  tff(f65767,plain,(
% 59.37/10.05    spl2737_309),
% 59.37/10.05    inference(avatar_split_clause,[],[f34864,f65764])).
% 59.37/10.05  tff(f65764,plain,(
% 59.37/10.05    spl2737_309 <=> linord2810124833399127020strict(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_309])])).
% 59.37/10.05  tff(f34864,plain,(
% 59.37/10.05    linord2810124833399127020strict(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9396])).
% 59.37/10.05  tff(f9396,axiom,(
% 59.37/10.05    linord2810124833399127020strict(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__comm__semiring__strict_259)).
% 59.37/10.05  tff(f65762,plain,(
% 59.37/10.05    spl2737_308),
% 59.37/10.05    inference(avatar_split_clause,[],[f34863,f65759])).
% 59.37/10.05  tff(f65759,plain,(
% 59.37/10.05    spl2737_308 <=> linordered_semiring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_308])])).
% 59.37/10.05  tff(f34863,plain,(
% 59.37/10.05    linordered_semiring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9441])).
% 59.37/10.05  tff(f9441,axiom,(
% 59.37/10.05    linordered_semiring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring_291)).
% 59.37/10.05  tff(f65757,plain,(
% 59.37/10.05    spl2737_307),
% 59.37/10.05    inference(avatar_split_clause,[],[f34862,f65754])).
% 59.37/10.05  tff(f65754,plain,(
% 59.37/10.05    spl2737_307 <=> linord2810124833399127020strict(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_307])])).
% 59.37/10.05  tff(f34862,plain,(
% 59.37/10.05    linord2810124833399127020strict(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9240])).
% 59.37/10.05  tff(f9240,axiom,(
% 59.37/10.05    linord2810124833399127020strict(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__comm__semiring__strict_121)).
% 59.37/10.05  tff(f65752,plain,(
% 59.37/10.05    spl2737_306),
% 59.37/10.05    inference(avatar_split_clause,[],[f34861,f65749])).
% 59.37/10.05  tff(f65749,plain,(
% 59.37/10.05    spl2737_306 <=> linordered_semiring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_306])])).
% 59.37/10.05  tff(f34861,plain,(
% 59.37/10.05    linordered_semiring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9265])).
% 59.37/10.05  tff(f9265,axiom,(
% 59.37/10.05    linordered_semiring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring_143)).
% 59.37/10.05  tff(f65747,plain,(
% 59.37/10.05    spl2737_305),
% 59.37/10.05    inference(avatar_split_clause,[],[f34860,f65744])).
% 59.37/10.05  tff(f65744,plain,(
% 59.37/10.05    spl2737_305 <=> linord2810124833399127020strict(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_305])])).
% 59.37/10.05  tff(f34860,plain,(
% 59.37/10.05    linord2810124833399127020strict(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9715])).
% 59.37/10.05  tff(f9715,axiom,(
% 59.37/10.05    linord2810124833399127020strict(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__comm__semiring__strict_562)).
% 59.37/10.05  tff(f65742,plain,(
% 59.37/10.05    spl2737_304),
% 59.37/10.05    inference(avatar_split_clause,[],[f34859,f65739])).
% 59.37/10.05  tff(f65739,plain,(
% 59.37/10.05    spl2737_304 <=> linordered_semiring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_304])])).
% 59.37/10.05  tff(f34859,plain,(
% 59.37/10.05    linordered_semiring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9741])).
% 59.37/10.05  tff(f9741,axiom,(
% 59.37/10.05    linordered_semiring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring_588)).
% 59.37/10.05  tff(f65737,plain,(
% 59.37/10.05    spl2737_303),
% 59.37/10.05    inference(avatar_split_clause,[],[f34858,f65734])).
% 59.37/10.05  tff(f65734,plain,(
% 59.37/10.05    spl2737_303 <=> linordered_semiring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_303])])).
% 59.37/10.05  tff(f34858,plain,(
% 59.37/10.05    linordered_semiring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9828])).
% 59.37/10.05  tff(f9828,axiom,(
% 59.37/10.05    linordered_semiring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Olinordered__semiring_675)).
% 59.37/10.05  tff(f65732,plain,(
% 59.37/10.05    spl2737_302),
% 59.37/10.05    inference(avatar_split_clause,[],[f34857,f65729])).
% 59.37/10.05  tff(f65729,plain,(
% 59.37/10.05    spl2737_302 <=> linord2810124833399127020strict(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_302])])).
% 59.37/10.05  tff(f34857,plain,(
% 59.37/10.05    linord2810124833399127020strict(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9811])).
% 59.37/10.05  tff(f9811,axiom,(
% 59.37/10.05    linord2810124833399127020strict(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Olinordered__comm__semiring__strict_658)).
% 59.37/10.05  tff(f65727,plain,(
% 59.37/10.05    spl2737_301),
% 59.37/10.05    inference(avatar_split_clause,[],[f34856,f65724])).
% 59.37/10.05  tff(f65724,plain,(
% 59.37/10.05    spl2737_301 <=> bounded_lattice_top(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_301])])).
% 59.37/10.05  tff(f34856,plain,(
% 59.37/10.05    bounded_lattice_top(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9632])).
% 59.37/10.05  tff(f9632,axiom,(
% 59.37/10.05    bounded_lattice_top(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice__top_479)).
% 59.37/10.05  tff(f65722,plain,(
% 59.37/10.05    spl2737_300),
% 59.37/10.05    inference(avatar_split_clause,[],[f34855,f65719])).
% 59.37/10.05  tff(f65719,plain,(
% 59.37/10.05    spl2737_300 <=> bounded_lattice_bot(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_300])])).
% 59.37/10.05  tff(f34855,plain,(
% 59.37/10.05    bounded_lattice_bot(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9633])).
% 59.37/10.05  tff(f9633,axiom,(
% 59.37/10.05    bounded_lattice_bot(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice__bot_480)).
% 59.37/10.05  tff(f65717,plain,(
% 59.37/10.05    spl2737_299),
% 59.37/10.05    inference(avatar_split_clause,[],[f34854,f65714])).
% 59.37/10.05  tff(f65714,plain,(
% 59.37/10.05    spl2737_299 <=> bounded_lattice_top(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_299])])).
% 59.37/10.05  tff(f34854,plain,(
% 59.37/10.05    bounded_lattice_top(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9686])).
% 59.37/10.05  tff(f9686,axiom,(
% 59.37/10.05    bounded_lattice_top(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice__top_533)).
% 59.37/10.05  tff(f65712,plain,(
% 59.37/10.05    spl2737_298),
% 59.37/10.05    inference(avatar_split_clause,[],[f34853,f65709])).
% 59.37/10.05  tff(f65709,plain,(
% 59.37/10.05    spl2737_298 <=> bounded_lattice_bot(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_298])])).
% 59.37/10.05  tff(f34853,plain,(
% 59.37/10.05    bounded_lattice_bot(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9687])).
% 59.37/10.05  tff(f9687,axiom,(
% 59.37/10.05    bounded_lattice_bot(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice__bot_534)).
% 59.37/10.05  tff(f65707,plain,(
% 59.37/10.05    spl2737_297),
% 59.37/10.05    inference(avatar_split_clause,[],[f34852,f65704])).
% 59.37/10.05  tff(f65704,plain,(
% 59.37/10.05    spl2737_297 <=> ring_1(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_297])])).
% 59.37/10.05  tff(f34852,plain,(
% 59.37/10.05    ring_1(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9118])).
% 59.37/10.05  tff(f9118,axiom,(
% 59.37/10.05    ring_1(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1)).
% 59.37/10.05  tff(f65702,plain,(
% 59.37/10.05    spl2737_296),
% 59.37/10.05    inference(avatar_split_clause,[],[f34851,f65699])).
% 59.37/10.05  tff(f65699,plain,(
% 59.37/10.05    spl2737_296 <=> ring_1(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_296])])).
% 59.37/10.05  tff(f34851,plain,(
% 59.37/10.05    ring_1(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9499])).
% 59.37/10.05  tff(f9499,axiom,(
% 59.37/10.05    ring_1(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1_347)).
% 59.37/10.05  tff(f65697,plain,(
% 59.37/10.05    spl2737_295),
% 59.37/10.05    inference(avatar_split_clause,[],[f34850,f65694])).
% 59.37/10.05  tff(f65694,plain,(
% 59.37/10.05    spl2737_295 <=> ring_1(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_295])])).
% 59.37/10.05  tff(f34850,plain,(
% 59.37/10.05    ring_1(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9321])).
% 59.37/10.05  tff(f9321,axiom,(
% 59.37/10.05    ring_1(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1_192)).
% 59.37/10.05  tff(f65692,plain,(
% 59.37/10.05    spl2737_294),
% 59.37/10.05    inference(avatar_split_clause,[],[f34849,f65689])).
% 59.37/10.05  tff(f65689,plain,(
% 59.37/10.05    spl2737_294 <=> ring_1(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_294])])).
% 59.37/10.05  tff(f34849,plain,(
% 59.37/10.05    ring_1(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9790])).
% 59.37/10.05  tff(f9790,axiom,(
% 59.37/10.05    ring_1(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1_637)).
% 59.37/10.05  tff(f65687,plain,(
% 59.37/10.05    spl2737_293),
% 59.37/10.05    inference(avatar_split_clause,[],[f34848,f65684])).
% 59.37/10.05  tff(f65684,plain,(
% 59.37/10.05    spl2737_293 <=> ring_1(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_293])])).
% 59.37/10.05  tff(f34848,plain,(
% 59.37/10.05    ring_1(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9605])).
% 59.37/10.05  tff(f9605,axiom,(
% 59.37/10.05    ring_1(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1_453)).
% 59.37/10.05  tff(f65682,plain,(
% 59.37/10.05    spl2737_292),
% 59.37/10.05    inference(avatar_split_clause,[],[f34847,f65679])).
% 59.37/10.05  tff(f34847,plain,(
% 59.37/10.05    neg_numeral(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9112])).
% 59.37/10.05  tff(f9112,axiom,(
% 59.37/10.05    neg_numeral(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Oneg__numeral)).
% 59.37/10.05  tff(f65677,plain,(
% 59.37/10.05    spl2737_291),
% 59.37/10.05    inference(avatar_split_clause,[],[f34846,f65674])).
% 59.37/10.05  tff(f34846,plain,(
% 59.37/10.05    neg_numeral(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9492])).
% 59.37/10.05  tff(f9492,axiom,(
% 59.37/10.05    neg_numeral(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Oneg__numeral_340)).
% 59.37/10.05  tff(f65672,plain,(
% 59.37/10.05    spl2737_290),
% 59.37/10.05    inference(avatar_split_clause,[],[f34845,f65669])).
% 59.37/10.05  tff(f34845,plain,(
% 59.37/10.05    neg_numeral(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9314])).
% 59.37/10.05  tff(f9314,axiom,(
% 59.37/10.05    neg_numeral(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Oneg__numeral_186)).
% 59.37/10.05  tff(f65667,plain,(
% 59.37/10.05    spl2737_289),
% 59.37/10.05    inference(avatar_split_clause,[],[f34844,f65664])).
% 59.37/10.05  tff(f34844,plain,(
% 59.37/10.05    neg_numeral(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9784])).
% 59.37/10.05  tff(f9784,axiom,(
% 59.37/10.05    neg_numeral(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Oneg__numeral_631)).
% 59.37/10.05  tff(f65662,plain,(
% 59.37/10.05    spl2737_288),
% 59.37/10.05    inference(avatar_split_clause,[],[f34843,f65659])).
% 59.37/10.05  tff(f34843,plain,(
% 59.37/10.05    neg_numeral(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9599])).
% 59.37/10.05  tff(f9599,axiom,(
% 59.37/10.05    neg_numeral(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Oneg__numeral_447)).
% 59.37/10.05  tff(f65657,plain,(
% 59.37/10.05    spl2737_287),
% 59.37/10.05    inference(avatar_split_clause,[],[f34842,f65654])).
% 59.37/10.05  tff(f65654,plain,(
% 59.37/10.05    spl2737_287 <=> ab_group_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_287])])).
% 59.37/10.05  tff(f34842,plain,(
% 59.37/10.05    ab_group_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9089])).
% 59.37/10.05  tff(f9089,axiom,(
% 59.37/10.05    ab_group_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__group__add)).
% 59.37/10.05  tff(f65652,plain,(
% 59.37/10.05    spl2737_286),
% 59.37/10.05    inference(avatar_split_clause,[],[f34841,f65649])).
% 59.37/10.05  tff(f65649,plain,(
% 59.37/10.05    spl2737_286 <=> ab_group_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_286])])).
% 59.37/10.05  tff(f34841,plain,(
% 59.37/10.05    ab_group_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9471])).
% 59.37/10.05  tff(f9471,axiom,(
% 59.37/10.05    ab_group_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__group__add_320)).
% 59.37/10.05  tff(f65647,plain,(
% 59.37/10.05    spl2737_285),
% 59.37/10.05    inference(avatar_split_clause,[],[f34840,f65644])).
% 59.37/10.05  tff(f65644,plain,(
% 59.37/10.05    spl2737_285 <=> ab_group_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_285])])).
% 59.37/10.05  tff(f34840,plain,(
% 59.37/10.05    ab_group_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9294])).
% 59.37/10.05  tff(f9294,axiom,(
% 59.37/10.05    ab_group_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__group__add_167)).
% 59.37/10.05  tff(f65642,plain,(
% 59.37/10.05    spl2737_284),
% 59.37/10.05    inference(avatar_split_clause,[],[f34839,f65639])).
% 59.37/10.05  tff(f65639,plain,(
% 59.37/10.05    spl2737_284 <=> ab_group_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_284])])).
% 59.37/10.05  tff(f34839,plain,(
% 59.37/10.05    ab_group_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9766])).
% 59.37/10.05  tff(f9766,axiom,(
% 59.37/10.05    ab_group_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__group__add_613)).
% 59.37/10.05  tff(f65637,plain,(
% 59.37/10.05    spl2737_283),
% 59.37/10.05    inference(avatar_split_clause,[],[f34838,f65634])).
% 59.37/10.05  tff(f65634,plain,(
% 59.37/10.05    spl2737_283 <=> ab_group_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_283])])).
% 59.37/10.05  tff(f34838,plain,(
% 59.37/10.05    ab_group_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9586])).
% 59.37/10.05  tff(f9586,axiom,(
% 59.37/10.05    ab_group_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__group__add_434)).
% 59.37/10.05  tff(f65632,plain,(
% 59.37/10.05    spl2737_282),
% 59.37/10.05    inference(avatar_split_clause,[],[f34837,f65629])).
% 59.37/10.05  tff(f65629,plain,(
% 59.37/10.05    spl2737_282 <=> group_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_282])])).
% 59.37/10.05  tff(f34837,plain,(
% 59.37/10.05    group_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9106])).
% 59.37/10.05  tff(f9106,axiom,(
% 59.37/10.05    group_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ogroup__add)).
% 59.37/10.05  tff(f65627,plain,(
% 59.37/10.05    spl2737_281),
% 59.37/10.05    inference(avatar_split_clause,[],[f34836,f65624])).
% 59.37/10.05  tff(f65624,plain,(
% 59.37/10.05    spl2737_281 <=> group_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_281])])).
% 59.37/10.05  tff(f34836,plain,(
% 59.37/10.05    group_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9488])).
% 59.37/10.05  tff(f9488,axiom,(
% 59.37/10.05    group_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ogroup__add_336)).
% 59.37/10.05  tff(f65622,plain,(
% 59.37/10.05    spl2737_280),
% 59.37/10.05    inference(avatar_split_clause,[],[f34835,f65619])).
% 59.37/10.05  tff(f65619,plain,(
% 59.37/10.05    spl2737_280 <=> group_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_280])])).
% 59.37/10.05  tff(f34835,plain,(
% 59.37/10.05    group_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9310])).
% 59.37/10.05  tff(f9310,axiom,(
% 59.37/10.05    group_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ogroup__add_182)).
% 59.37/10.05  tff(f65617,plain,(
% 59.37/10.05    spl2737_279),
% 59.37/10.05    inference(avatar_split_clause,[],[f34834,f65614])).
% 59.37/10.05  tff(f65614,plain,(
% 59.37/10.05    spl2737_279 <=> group_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_279])])).
% 59.37/10.05  tff(f34834,plain,(
% 59.37/10.05    group_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9780])).
% 59.37/10.05  tff(f9780,axiom,(
% 59.37/10.05    group_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ogroup__add_627)).
% 59.37/10.05  tff(f65612,plain,(
% 59.37/10.05    spl2737_278),
% 59.37/10.05    inference(avatar_split_clause,[],[f34833,f65609])).
% 59.37/10.05  tff(f65609,plain,(
% 59.37/10.05    spl2737_278 <=> group_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_278])])).
% 59.37/10.05  tff(f34833,plain,(
% 59.37/10.05    group_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9596])).
% 59.37/10.05  tff(f9596,axiom,(
% 59.37/10.05    group_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ogroup__add_444)).
% 59.37/10.05  tff(f65607,plain,(
% 59.37/10.05    spl2737_277),
% 59.37/10.05    inference(avatar_split_clause,[],[f34832,f65604])).
% 59.37/10.05  tff(f65604,plain,(
% 59.37/10.05    spl2737_277 <=> comple592849572758109894attice(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_277])])).
% 59.37/10.05  tff(f34832,plain,(
% 59.37/10.05    comple592849572758109894attice(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9356])).
% 59.37/10.05  tff(f9356,axiom,(
% 59.37/10.05    comple592849572758109894attice(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__distrib__lattice_226)).
% 59.37/10.05  tff(f65602,plain,(
% 59.37/10.05    spl2737_276),
% 59.37/10.05    inference(avatar_split_clause,[],[f34831,f65599])).
% 59.37/10.05  tff(f65599,plain,(
% 59.37/10.05    spl2737_276 <=> comple592849572758109894attice(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_276])])).
% 59.37/10.05  tff(f34831,plain,(
% 59.37/10.05    comple592849572758109894attice(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9619])).
% 59.37/10.05  tff(f9619,axiom,(
% 59.37/10.05    comple592849572758109894attice(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__distrib__lattice_467)).
% 59.37/10.05  tff(f65597,plain,(
% 59.37/10.05    spl2737_275),
% 59.37/10.05    inference(avatar_split_clause,[],[f34830,f65594])).
% 59.37/10.05  tff(f65594,plain,(
% 59.37/10.05    spl2737_275 <=> comple592849572758109894attice(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_275])])).
% 59.37/10.05  tff(f34830,plain,(
% 59.37/10.05    comple592849572758109894attice(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9679])).
% 59.37/10.05  tff(f9679,axiom,(
% 59.37/10.05    comple592849572758109894attice(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__distrib__lattice_526)).
% 59.37/10.05  tff(f65592,plain,(
% 59.37/10.05    spl2737_274),
% 59.37/10.05    inference(avatar_split_clause,[],[f34829,f65589])).
% 59.37/10.05  tff(f65589,plain,(
% 59.37/10.05    spl2737_274 <=> idom(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_274])])).
% 59.37/10.05  tff(f34829,plain,(
% 59.37/10.05    idom(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9127])).
% 59.37/10.05  tff(f9127,axiom,(
% 59.37/10.05    idom(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom)).
% 59.37/10.05  tff(f65587,plain,(
% 59.37/10.05    spl2737_273),
% 59.37/10.05    inference(avatar_split_clause,[],[f34828,f65584])).
% 59.37/10.05  tff(f65584,plain,(
% 59.37/10.05    spl2737_273 <=> idom(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_273])])).
% 59.37/10.05  tff(f34828,plain,(
% 59.37/10.05    idom(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9508])).
% 59.37/10.05  tff(f9508,axiom,(
% 59.37/10.05    idom(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom_356)).
% 59.37/10.05  tff(f65582,plain,(
% 59.37/10.05    spl2737_272),
% 59.37/10.05    inference(avatar_split_clause,[],[f34827,f65579])).
% 59.37/10.05  tff(f65579,plain,(
% 59.37/10.05    spl2737_272 <=> idom(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_272])])).
% 59.37/10.05  tff(f34827,plain,(
% 59.37/10.05    idom(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9330])).
% 59.37/10.05  tff(f9330,axiom,(
% 59.37/10.05    idom(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom_200)).
% 59.37/10.05  tff(f65577,plain,(
% 59.37/10.05    spl2737_271),
% 59.37/10.05    inference(avatar_split_clause,[],[f34826,f65574])).
% 59.37/10.05  tff(f65574,plain,(
% 59.37/10.05    spl2737_271 <=> idom(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_271])])).
% 59.37/10.05  tff(f34826,plain,(
% 59.37/10.05    idom(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9798])).
% 59.37/10.05  tff(f9798,axiom,(
% 59.37/10.05    idom(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom_645)).
% 59.37/10.05  tff(f65572,plain,(
% 59.37/10.05    spl2737_270),
% 59.37/10.05    inference(avatar_split_clause,[],[f34825,f65569])).
% 59.37/10.05  tff(f65569,plain,(
% 59.37/10.05    spl2737_270 <=> idom(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_270])])).
% 59.37/10.05  tff(f34825,plain,(
% 59.37/10.05    idom(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9613])).
% 59.37/10.05  tff(f9613,axiom,(
% 59.37/10.05    idom(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom_461)).
% 59.37/10.05  tff(f65567,plain,(
% 59.37/10.05    spl2737_269),
% 59.37/10.05    inference(avatar_split_clause,[],[f34824,f65564])).
% 59.37/10.05  tff(f65564,plain,(
% 59.37/10.05    spl2737_269 <=> comm_ring_1(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_269])])).
% 59.37/10.05  tff(f34824,plain,(
% 59.37/10.05    comm_ring_1(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9099])).
% 59.37/10.05  tff(f9099,axiom,(
% 59.37/10.05    comm_ring_1(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring__1)).
% 59.37/10.05  tff(f65562,plain,(
% 59.37/10.05    spl2737_268),
% 59.37/10.05    inference(avatar_split_clause,[],[f34823,f65559])).
% 59.37/10.05  tff(f65559,plain,(
% 59.37/10.05    spl2737_268 <=> comm_ring_1(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_268])])).
% 59.37/10.05  tff(f34823,plain,(
% 59.37/10.05    comm_ring_1(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9481])).
% 59.37/10.05  tff(f9481,axiom,(
% 59.37/10.05    comm_ring_1(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring__1_329)).
% 59.37/10.05  tff(f65557,plain,(
% 59.37/10.05    spl2737_267),
% 59.37/10.05    inference(avatar_split_clause,[],[f34822,f65554])).
% 59.37/10.05  tff(f65554,plain,(
% 59.37/10.05    spl2737_267 <=> comm_ring_1(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_267])])).
% 59.37/10.05  tff(f34822,plain,(
% 59.37/10.05    comm_ring_1(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9303])).
% 59.37/10.05  tff(f9303,axiom,(
% 59.37/10.05    comm_ring_1(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring__1_175)).
% 59.37/10.05  tff(f65552,plain,(
% 59.37/10.05    spl2737_266),
% 59.37/10.05    inference(avatar_split_clause,[],[f34821,f65549])).
% 59.37/10.05  tff(f65549,plain,(
% 59.37/10.05    spl2737_266 <=> comm_ring_1(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_266])])).
% 59.37/10.05  tff(f34821,plain,(
% 59.37/10.05    comm_ring_1(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9776])).
% 59.37/10.05  tff(f9776,axiom,(
% 59.37/10.05    comm_ring_1(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring__1_623)).
% 59.37/10.05  tff(f65547,plain,(
% 59.37/10.05    spl2737_265),
% 59.37/10.05    inference(avatar_split_clause,[],[f34820,f65544])).
% 59.37/10.05  tff(f65544,plain,(
% 59.37/10.05    spl2737_265 <=> comm_ring_1(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_265])])).
% 59.37/10.05  tff(f34820,plain,(
% 59.37/10.05    comm_ring_1(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9592])).
% 59.37/10.05  tff(f9592,axiom,(
% 59.37/10.05    comm_ring_1(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring__1_440)).
% 59.37/10.05  tff(f65542,plain,(
% 59.37/10.05    spl2737_264),
% 59.37/10.05    inference(avatar_split_clause,[],[f34819,f65539])).
% 59.37/10.05  tff(f65539,plain,(
% 59.37/10.05    spl2737_264 <=> ring_char_0(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_264])])).
% 59.37/10.05  tff(f34819,plain,(
% 59.37/10.05    ring_char_0(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9113])).
% 59.37/10.05  tff(f9113,axiom,(
% 59.37/10.05    ring_char_0(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Oring__char__0)).
% 59.37/10.05  tff(f65537,plain,(
% 59.37/10.05    spl2737_263),
% 59.37/10.05    inference(avatar_split_clause,[],[f34818,f65534])).
% 59.37/10.05  tff(f65534,plain,(
% 59.37/10.05    spl2737_263 <=> ring_char_0(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_263])])).
% 59.37/10.05  tff(f34818,plain,(
% 59.37/10.05    ring_char_0(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9493])).
% 59.37/10.05  tff(f9493,axiom,(
% 59.37/10.05    ring_char_0(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Oring__char__0_341)).
% 59.37/10.05  tff(f65532,plain,(
% 59.37/10.05    spl2737_262),
% 59.37/10.05    inference(avatar_split_clause,[],[f34817,f65529])).
% 59.37/10.05  tff(f65529,plain,(
% 59.37/10.05    spl2737_262 <=> ring_char_0(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_262])])).
% 59.37/10.05  tff(f34817,plain,(
% 59.37/10.05    ring_char_0(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9315])).
% 59.37/10.05  tff(f9315,axiom,(
% 59.37/10.05    ring_char_0(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Oring__char__0_187)).
% 59.37/10.05  tff(f65527,plain,(
% 59.37/10.05    spl2737_261),
% 59.37/10.05    inference(avatar_split_clause,[],[f34816,f65524])).
% 59.37/10.05  tff(f65524,plain,(
% 59.37/10.05    spl2737_261 <=> ring_char_0(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_261])])).
% 59.37/10.05  tff(f34816,plain,(
% 59.37/10.05    ring_char_0(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9785])).
% 59.37/10.05  tff(f9785,axiom,(
% 59.37/10.05    ring_char_0(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Oring__char__0_632)).
% 59.37/10.05  tff(f65522,plain,(
% 59.37/10.05    spl2737_260),
% 59.37/10.05    inference(avatar_split_clause,[],[f34815,f65519])).
% 59.37/10.05  tff(f65519,plain,(
% 59.37/10.05    spl2737_260 <=> ring_char_0(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_260])])).
% 59.37/10.05  tff(f34815,plain,(
% 59.37/10.05    ring_char_0(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9600])).
% 59.37/10.05  tff(f9600,axiom,(
% 59.37/10.05    ring_char_0(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Oring__char__0_448)).
% 59.37/10.05  tff(f65517,plain,(
% 59.37/10.05    spl2737_259),
% 59.37/10.05    inference(avatar_split_clause,[],[f34814,f65514])).
% 59.37/10.05  tff(f65514,plain,(
% 59.37/10.05    spl2737_259 <=> comm_ring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_259])])).
% 59.37/10.05  tff(f34814,plain,(
% 59.37/10.05    comm_ring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9110])).
% 59.37/10.05  tff(f9110,axiom,(
% 59.37/10.05    comm_ring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring)).
% 59.37/10.05  tff(f65512,plain,(
% 59.37/10.05    spl2737_258),
% 59.37/10.05    inference(avatar_split_clause,[],[f34813,f65509])).
% 59.37/10.05  tff(f65509,plain,(
% 59.37/10.05    spl2737_258 <=> comm_ring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_258])])).
% 59.37/10.05  tff(f34813,plain,(
% 59.37/10.05    comm_ring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9490])).
% 59.37/10.05  tff(f9490,axiom,(
% 59.37/10.05    comm_ring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring_338)).
% 59.37/10.05  tff(f65507,plain,(
% 59.37/10.05    spl2737_257),
% 59.37/10.05    inference(avatar_split_clause,[],[f34812,f65504])).
% 59.37/10.05  tff(f65504,plain,(
% 59.37/10.05    spl2737_257 <=> comm_ring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_257])])).
% 59.37/10.05  tff(f34812,plain,(
% 59.37/10.05    comm_ring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9312])).
% 59.37/10.05  tff(f9312,axiom,(
% 59.37/10.05    comm_ring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring_184)).
% 59.37/10.05  tff(f65502,plain,(
% 59.37/10.05    spl2737_256),
% 59.37/10.05    inference(avatar_split_clause,[],[f34811,f65499])).
% 59.37/10.05  tff(f65499,plain,(
% 59.37/10.05    spl2737_256 <=> comm_ring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_256])])).
% 59.37/10.05  tff(f34811,plain,(
% 59.37/10.05    comm_ring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9782])).
% 59.37/10.05  tff(f9782,axiom,(
% 59.37/10.05    comm_ring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring_629)).
% 59.37/10.05  tff(f65497,plain,(
% 59.37/10.05    spl2737_255),
% 59.37/10.05    inference(avatar_split_clause,[],[f34810,f65494])).
% 59.37/10.05  tff(f65494,plain,(
% 59.37/10.05    spl2737_255 <=> comm_ring(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_255])])).
% 59.37/10.05  tff(f34810,plain,(
% 59.37/10.05    comm_ring(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9598])).
% 59.37/10.05  tff(f9598,axiom,(
% 59.37/10.05    comm_ring(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring_446)).
% 59.37/10.05  tff(f65492,plain,(
% 59.37/10.05    spl2737_254),
% 59.37/10.05    inference(avatar_split_clause,[],[f34809,f65489])).
% 59.37/10.05  tff(f65489,plain,(
% 59.37/10.05    spl2737_254 <=> condit6923001295902523014norder(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_254])])).
% 59.37/10.05  tff(f34809,plain,(
% 59.37/10.05    condit6923001295902523014norder(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9130])).
% 59.37/10.05  tff(f9130,axiom,(
% 59.37/10.05    condit6923001295902523014norder(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_16)).
% 59.37/10.05  tff(f65487,plain,(
% 59.37/10.05    spl2737_253),
% 59.37/10.05    inference(avatar_split_clause,[],[f34808,f65484])).
% 59.37/10.05  tff(f65484,plain,(
% 59.37/10.05    spl2737_253 <=> condit6923001295902523014norder(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_253])])).
% 59.37/10.05  tff(f34808,plain,(
% 59.37/10.05    condit6923001295902523014norder(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9006])).
% 59.37/10.05  tff(f9006,axiom,(
% 59.37/10.05    condit6923001295902523014norder(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__linorder)).
% 59.37/10.05  tff(f65482,plain,(
% 59.37/10.05    spl2737_252),
% 59.37/10.05    inference(avatar_split_clause,[],[f34807,f65479])).
% 59.37/10.05  tff(f65479,plain,(
% 59.37/10.05    spl2737_252 <=> condit6923001295902523014norder(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_252])])).
% 59.37/10.05  tff(f34807,plain,(
% 59.37/10.05    condit6923001295902523014norder(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9381])).
% 59.37/10.05  tff(f9381,axiom,(
% 59.37/10.05    condit6923001295902523014norder(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_251)).
% 59.37/10.05  tff(f65477,plain,(
% 59.37/10.05    spl2737_251),
% 59.37/10.05    inference(avatar_split_clause,[],[f34806,f65474])).
% 59.37/10.05  tff(f65474,plain,(
% 59.37/10.05    spl2737_251 <=> condit6923001295902523014norder(extended_enat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_251])])).
% 59.37/10.05  tff(f34806,plain,(
% 59.37/10.05    condit6923001295902523014norder(extended_enat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9616])).
% 59.37/10.05  tff(f9616,axiom,(
% 59.37/10.05    condit6923001295902523014norder(extended_enat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_464)).
% 59.37/10.05  tff(f65472,plain,(
% 59.37/10.05    spl2737_250),
% 59.37/10.05    inference(avatar_split_clause,[],[f34805,f65469])).
% 59.37/10.05  tff(f65469,plain,(
% 59.37/10.05    spl2737_250 <=> condit6923001295902523014norder(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_250])])).
% 59.37/10.05  tff(f34805,plain,(
% 59.37/10.05    condit6923001295902523014norder(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9676])).
% 59.37/10.05  tff(f9676,axiom,(
% 59.37/10.05    condit6923001295902523014norder(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_523)).
% 59.37/10.05  tff(f65467,plain,(
% 59.37/10.05    spl2737_249),
% 59.37/10.05    inference(avatar_split_clause,[],[f34804,f65464])).
% 59.37/10.05  tff(f65464,plain,(
% 59.37/10.05    spl2737_249 <=> idom_abs_sgn(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_249])])).
% 59.37/10.05  tff(f34804,plain,(
% 59.37/10.05    idom_abs_sgn(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9092])).
% 59.37/10.05  tff(f9092,axiom,(
% 59.37/10.05    idom_abs_sgn(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__abs__sgn)).
% 59.37/10.05  tff(f65462,plain,(
% 59.37/10.05    spl2737_248),
% 59.37/10.05    inference(avatar_split_clause,[],[f34803,f65459])).
% 59.37/10.05  tff(f65459,plain,(
% 59.37/10.05    spl2737_248 <=> idom_abs_sgn(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_248])])).
% 59.37/10.05  tff(f34803,plain,(
% 59.37/10.05    idom_abs_sgn(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9475])).
% 59.37/10.05  tff(f9475,axiom,(
% 59.37/10.05    idom_abs_sgn(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__abs__sgn_324)).
% 59.37/10.05  tff(f65457,plain,(
% 59.37/10.05    spl2737_247),
% 59.37/10.05    inference(avatar_split_clause,[],[f34802,f65454])).
% 59.37/10.05  tff(f65454,plain,(
% 59.37/10.05    spl2737_247 <=> idom_abs_sgn(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_247])])).
% 59.37/10.05  tff(f34802,plain,(
% 59.37/10.05    idom_abs_sgn(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9298])).
% 59.37/10.05  tff(f9298,axiom,(
% 59.37/10.05    idom_abs_sgn(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom__abs__sgn_170)).
% 59.37/10.05  tff(f65452,plain,(
% 59.37/10.05    spl2737_246),
% 59.37/10.05    inference(avatar_split_clause,[],[f34801,f65449])).
% 59.37/10.05  tff(f65449,plain,(
% 59.37/10.05    spl2737_246 <=> idom_abs_sgn(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_246])])).
% 59.37/10.05  tff(f34801,plain,(
% 59.37/10.05    idom_abs_sgn(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9769])).
% 59.37/10.05  tff(f9769,axiom,(
% 59.37/10.05    idom_abs_sgn(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__abs__sgn_616)).
% 59.37/10.05  tff(f65447,plain,(
% 59.37/10.05    spl2737_245),
% 59.37/10.05    inference(avatar_split_clause,[],[f34800,f65444])).
% 59.37/10.05  tff(f65444,plain,(
% 59.37/10.05    spl2737_245 <=> idom_abs_sgn(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_245])])).
% 59.37/10.05  tff(f34800,plain,(
% 59.37/10.05    idom_abs_sgn(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9589])).
% 59.37/10.05  tff(f9589,axiom,(
% 59.37/10.05    idom_abs_sgn(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__abs__sgn_437)).
% 59.37/10.05  tff(f65442,plain,(
% 59.37/10.05    spl2737_244),
% 59.37/10.05    inference(avatar_split_clause,[],[f34799,f65439])).
% 59.37/10.05  tff(f65439,plain,(
% 59.37/10.05    spl2737_244 <=> ring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_244])])).
% 59.37/10.05  tff(f34799,plain,(
% 59.37/10.05    ring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9126])).
% 59.37/10.05  tff(f9126,axiom,(
% 59.37/10.05    ring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring)).
% 59.37/10.05  tff(f65437,plain,(
% 59.37/10.05    spl2737_243),
% 59.37/10.05    inference(avatar_split_clause,[],[f34798,f65434])).
% 59.37/10.05  tff(f65434,plain,(
% 59.37/10.05    spl2737_243 <=> ring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_243])])).
% 59.37/10.05  tff(f34798,plain,(
% 59.37/10.05    ring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9507])).
% 59.37/10.05  tff(f9507,axiom,(
% 59.37/10.05    ring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring_355)).
% 59.37/10.05  tff(f65432,plain,(
% 59.37/10.05    spl2737_242),
% 59.37/10.05    inference(avatar_split_clause,[],[f34797,f65429])).
% 59.37/10.05  tff(f65429,plain,(
% 59.37/10.05    spl2737_242 <=> ring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_242])])).
% 59.37/10.05  tff(f34797,plain,(
% 59.37/10.05    ring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9329])).
% 59.37/10.05  tff(f9329,axiom,(
% 59.37/10.05    ring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring_199)).
% 59.37/10.05  tff(f65427,plain,(
% 59.37/10.05    spl2737_241),
% 59.37/10.05    inference(avatar_split_clause,[],[f34796,f65424])).
% 59.37/10.05  tff(f65424,plain,(
% 59.37/10.05    spl2737_241 <=> ring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_241])])).
% 59.37/10.05  tff(f34796,plain,(
% 59.37/10.05    ring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9797])).
% 59.37/10.05  tff(f9797,axiom,(
% 59.37/10.05    ring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring_644)).
% 59.37/10.05  tff(f65422,plain,(
% 59.37/10.05    spl2737_240),
% 59.37/10.05    inference(avatar_split_clause,[],[f34795,f65419])).
% 59.37/10.05  tff(f65419,plain,(
% 59.37/10.05    spl2737_240 <=> ring(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_240])])).
% 59.37/10.05  tff(f34795,plain,(
% 59.37/10.05    ring(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9612])).
% 59.37/10.05  tff(f9612,axiom,(
% 59.37/10.05    ring(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring_460)).
% 59.37/10.05  tff(f65417,plain,(
% 59.37/10.05    spl2737_239),
% 59.37/10.05    inference(avatar_split_clause,[],[f34794,f65414])).
% 59.37/10.05  tff(f65414,plain,(
% 59.37/10.05    spl2737_239 <=> ring_15535105094025558882visors(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_239])])).
% 59.37/10.05  tff(f34794,plain,(
% 59.37/10.05    ring_15535105094025558882visors(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9049])).
% 59.37/10.05  tff(f9049,axiom,(
% 59.37/10.05    ring_15535105094025558882visors(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 59.37/10.05  tff(f65412,plain,(
% 59.37/10.05    spl2737_238),
% 59.37/10.05    inference(avatar_split_clause,[],[f34793,f65409])).
% 59.37/10.05  tff(f65409,plain,(
% 59.37/10.05    spl2737_238 <=> ring_15535105094025558882visors(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_238])])).
% 59.37/10.05  tff(f34793,plain,(
% 59.37/10.05    ring_15535105094025558882visors(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9428])).
% 59.37/10.05  tff(f9428,axiom,(
% 59.37/10.05    ring_15535105094025558882visors(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1__no__zero__divisors_281)).
% 59.37/10.05  tff(f65407,plain,(
% 59.37/10.05    spl2737_237),
% 59.37/10.05    inference(avatar_split_clause,[],[f34792,f65404])).
% 59.37/10.05  tff(f65404,plain,(
% 59.37/10.05    spl2737_237 <=> ring_15535105094025558882visors(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_237])])).
% 59.37/10.05  tff(f34792,plain,(
% 59.37/10.05    ring_15535105094025558882visors(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9257])).
% 59.37/10.05  tff(f9257,axiom,(
% 59.37/10.05    ring_15535105094025558882visors(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1__no__zero__divisors_135)).
% 59.37/10.05  tff(f65402,plain,(
% 59.37/10.05    spl2737_236),
% 59.37/10.05    inference(avatar_split_clause,[],[f34791,f65399])).
% 59.37/10.05  tff(f65399,plain,(
% 59.37/10.05    spl2737_236 <=> ring_15535105094025558882visors(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_236])])).
% 59.37/10.05  tff(f34791,plain,(
% 59.37/10.05    ring_15535105094025558882visors(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9732])).
% 59.37/10.05  tff(f9732,axiom,(
% 59.37/10.05    ring_15535105094025558882visors(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1__no__zero__divisors_579)).
% 59.37/10.05  tff(f65397,plain,(
% 59.37/10.05    spl2737_235),
% 59.37/10.05    inference(avatar_split_clause,[],[f34790,f65394])).
% 59.37/10.05  tff(f65394,plain,(
% 59.37/10.05    spl2737_235 <=> ring_15535105094025558882visors(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_235])])).
% 59.37/10.05  tff(f34790,plain,(
% 59.37/10.05    ring_15535105094025558882visors(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9561])).
% 59.37/10.05  tff(f9561,axiom,(
% 59.37/10.05    ring_15535105094025558882visors(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1__no__zero__divisors_409)).
% 59.37/10.05  tff(f65392,plain,(
% 59.37/10.05    spl2737_234),
% 59.37/10.05    inference(avatar_split_clause,[],[f34789,f65389])).
% 59.37/10.05  tff(f65389,plain,(
% 59.37/10.05    spl2737_234 <=> idom_divide(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_234])])).
% 59.37/10.05  tff(f34789,plain,(
% 59.37/10.05    idom_divide(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9098])).
% 59.37/10.05  tff(f9098,axiom,(
% 59.37/10.05    idom_divide(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__divide)).
% 59.37/10.05  tff(f65387,plain,(
% 59.37/10.05    spl2737_233),
% 59.37/10.05    inference(avatar_split_clause,[],[f34788,f65384])).
% 59.37/10.05  tff(f65384,plain,(
% 59.37/10.05    spl2737_233 <=> idom_divide(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_233])])).
% 59.37/10.05  tff(f34788,plain,(
% 59.37/10.05    idom_divide(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9480])).
% 59.37/10.05  tff(f9480,axiom,(
% 59.37/10.05    idom_divide(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom__divide_328)).
% 59.37/10.05  tff(f65382,plain,(
% 59.37/10.05    spl2737_232),
% 59.37/10.05    inference(avatar_split_clause,[],[f34787,f65379])).
% 59.37/10.05  tff(f65379,plain,(
% 59.37/10.05    spl2737_232 <=> idom_divide(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_232])])).
% 59.37/10.05  tff(f34787,plain,(
% 59.37/10.05    idom_divide(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9302])).
% 59.37/10.05  tff(f9302,axiom,(
% 59.37/10.05    idom_divide(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom__divide_174)).
% 59.37/10.05  tff(f65377,plain,(
% 59.37/10.05    spl2737_231),
% 59.37/10.05    inference(avatar_split_clause,[],[f34786,f65374])).
% 59.37/10.05  tff(f65374,plain,(
% 59.37/10.05    spl2737_231 <=> idom_divide(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_231])])).
% 59.37/10.05  tff(f34786,plain,(
% 59.37/10.05    idom_divide(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9775])).
% 59.37/10.05  tff(f9775,axiom,(
% 59.37/10.05    idom_divide(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__divide_622)).
% 59.37/10.05  tff(f65372,plain,(
% 59.37/10.05    spl2737_230),
% 59.37/10.05    inference(avatar_split_clause,[],[f34785,f65369])).
% 59.37/10.05  tff(f65369,plain,(
% 59.37/10.05    spl2737_230 <=> idom_divide(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_230])])).
% 59.37/10.05  tff(f34785,plain,(
% 59.37/10.05    idom_divide(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9591])).
% 59.37/10.05  tff(f9591,axiom,(
% 59.37/10.05    idom_divide(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom__divide_439)).
% 59.37/10.05  tff(f65367,plain,(
% 59.37/10.05    spl2737_229),
% 59.37/10.05    inference(avatar_split_clause,[],[f34784,f65364])).
% 59.37/10.05  tff(f34784,plain,(
% 59.37/10.05    linordered_idom(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9078])).
% 59.37/10.05  tff(f9078,axiom,(
% 59.37/10.05    linordered_idom(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__idom)).
% 59.37/10.05  tff(f65362,plain,(
% 59.37/10.05    spl2737_228),
% 59.37/10.05    inference(avatar_split_clause,[],[f34783,f65359])).
% 59.37/10.05  tff(f34783,plain,(
% 59.37/10.05    linordered_idom(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9458])).
% 59.37/10.05  tff(f9458,axiom,(
% 59.37/10.05    linordered_idom(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__idom_307)).
% 59.37/10.05  tff(f65357,plain,(
% 59.37/10.05    spl2737_227),
% 59.37/10.05    inference(avatar_split_clause,[],[f34782,f65354])).
% 59.37/10.05  tff(f34782,plain,(
% 59.37/10.05    linordered_idom(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9281])).
% 59.37/10.05  tff(f9281,axiom,(
% 59.37/10.05    linordered_idom(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__idom_157)).
% 59.37/10.05  tff(f65352,plain,(
% 59.37/10.05    spl2737_226),
% 59.37/10.05    inference(avatar_split_clause,[],[f34781,f65349])).
% 59.37/10.05  tff(f34781,plain,(
% 59.37/10.05    linordered_idom(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9755])).
% 59.37/10.05  tff(f9755,axiom,(
% 59.37/10.05    linordered_idom(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__idom_602)).
% 59.37/10.05  tff(f65347,plain,(
% 59.37/10.05    spl2737_225),
% 59.37/10.05    inference(avatar_split_clause,[],[f34780,f65344])).
% 59.37/10.05  tff(f65344,plain,(
% 59.37/10.05    spl2737_225 <=> bit_se359711467146920520ations(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_225])])).
% 59.37/10.05  tff(f34780,plain,(
% 59.37/10.05    bit_se359711467146920520ations(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9145])).
% 59.37/10.05  tff(f9145,axiom,(
% 59.37/10.05    bit_se359711467146920520ations(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bit__operations_30)).
% 59.37/10.05  tff(f65342,plain,(
% 59.37/10.05    spl2737_224),
% 59.37/10.05    inference(avatar_split_clause,[],[f34779,f65339])).
% 59.37/10.05  tff(f65339,plain,(
% 59.37/10.05    spl2737_224 <=> bit_se359711467146920520ations(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_224])])).
% 59.37/10.05  tff(f34779,plain,(
% 59.37/10.05    bit_se359711467146920520ations(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9022])).
% 59.37/10.05  tff(f9022,axiom,(
% 59.37/10.05    bit_se359711467146920520ations(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bit__operations)).
% 59.37/10.05  tff(f65337,plain,(
% 59.37/10.05    spl2737_223),
% 59.37/10.05    inference(avatar_split_clause,[],[f34778,f65334])).
% 59.37/10.05  tff(f65334,plain,(
% 59.37/10.05    spl2737_223 <=> bit_se359711467146920520ations(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_223])])).
% 59.37/10.05  tff(f34778,plain,(
% 59.37/10.05    bit_se359711467146920520ations(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9714])).
% 59.37/10.05  tff(f9714,axiom,(
% 59.37/10.05    bit_se359711467146920520ations(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bit__operations_561)).
% 59.37/10.05  tff(f65332,plain,(
% 59.37/10.05    spl2737_222),
% 59.37/10.05    inference(avatar_split_clause,[],[f34777,f65329])).
% 59.37/10.05  tff(f65329,plain,(
% 59.37/10.05    spl2737_222 <=> bit_se359711467146920520ations(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_222])])).
% 59.37/10.05  tff(f34777,plain,(
% 59.37/10.05    bit_se359711467146920520ations(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9810])).
% 59.37/10.05  tff(f9810,axiom,(
% 59.37/10.05    bit_se359711467146920520ations(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Bit__Operations_Osemiring__bit__operations_657)).
% 59.37/10.05  tff(f65327,plain,(
% 59.37/10.05    spl2737_221),
% 59.37/10.05    inference(avatar_split_clause,[],[f34776,f65324])).
% 59.37/10.05  tff(f65324,plain,(
% 59.37/10.05    spl2737_221 <=> algebraic_semidom(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_221])])).
% 59.37/10.05  tff(f34776,plain,(
% 59.37/10.05    algebraic_semidom(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9184])).
% 59.37/10.05  tff(f9184,axiom,(
% 59.37/10.05    algebraic_semidom(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oalgebraic__semidom_68)).
% 59.37/10.05  tff(f65322,plain,(
% 59.37/10.05    spl2737_220),
% 59.37/10.05    inference(avatar_split_clause,[],[f34775,f65319])).
% 59.37/10.05  tff(f65319,plain,(
% 59.37/10.05    spl2737_220 <=> algebraic_semidom(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_220])])).
% 59.37/10.05  tff(f34775,plain,(
% 59.37/10.05    algebraic_semidom(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9069])).
% 59.37/10.05  tff(f9069,axiom,(
% 59.37/10.05    algebraic_semidom(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oalgebraic__semidom)).
% 59.37/10.05  tff(f65317,plain,(
% 59.37/10.05    spl2737_219),
% 59.37/10.05    inference(avatar_split_clause,[],[f34774,f65314])).
% 59.37/10.05  tff(f65314,plain,(
% 59.37/10.05    spl2737_219 <=> algebraic_semidom(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_219])])).
% 59.37/10.05  tff(f34774,plain,(
% 59.37/10.05    algebraic_semidom(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9746])).
% 59.37/10.05  tff(f9746,axiom,(
% 59.37/10.05    algebraic_semidom(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oalgebraic__semidom_593)).
% 59.37/10.05  tff(f65312,plain,(
% 59.37/10.05    spl2737_218),
% 59.37/10.05    inference(avatar_split_clause,[],[f34773,f65309])).
% 59.37/10.05  tff(f65309,plain,(
% 59.37/10.05    spl2737_218 <=> algebraic_semidom(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_218])])).
% 59.37/10.05  tff(f34773,plain,(
% 59.37/10.05    algebraic_semidom(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9833])).
% 59.37/10.05  tff(f9833,axiom,(
% 59.37/10.05    algebraic_semidom(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Oalgebraic__semidom_680)).
% 59.37/10.05  tff(f65307,plain,(
% 59.37/10.05    spl2737_217),
% 59.37/10.05    inference(avatar_split_clause,[],[f34772,f65304])).
% 59.37/10.05  tff(f65304,plain,(
% 59.37/10.05    spl2737_217 <=> ordered_ab_group_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_217])])).
% 59.37/10.05  tff(f34772,plain,(
% 59.37/10.05    ordered_ab_group_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9059])).
% 59.37/10.05  tff(f9059,axiom,(
% 59.37/10.05    ordered_ab_group_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add)).
% 59.37/10.05  tff(f65302,plain,(
% 59.37/10.05    spl2737_216),
% 59.37/10.05    inference(avatar_split_clause,[],[f34771,f65299])).
% 59.37/10.05  tff(f65299,plain,(
% 59.37/10.05    spl2737_216 <=> ordered_ab_group_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_216])])).
% 59.37/10.05  tff(f34771,plain,(
% 59.37/10.05    ordered_ab_group_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9439])).
% 59.37/10.05  tff(f9439,axiom,(
% 59.37/10.05    ordered_ab_group_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add_289)).
% 59.37/10.05  tff(f65297,plain,(
% 59.37/10.05    spl2737_215),
% 59.37/10.05    inference(avatar_split_clause,[],[f34770,f65294])).
% 59.37/10.05  tff(f65294,plain,(
% 59.37/10.05    spl2737_215 <=> ordered_ab_group_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_215])])).
% 59.37/10.05  tff(f34770,plain,(
% 59.37/10.05    ordered_ab_group_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9263])).
% 59.37/10.05  tff(f9263,axiom,(
% 59.37/10.05    ordered_ab_group_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add_141)).
% 59.37/10.05  tff(f65292,plain,(
% 59.37/10.05    spl2737_214),
% 59.37/10.05    inference(avatar_split_clause,[],[f34769,f65289])).
% 59.37/10.05  tff(f65289,plain,(
% 59.37/10.05    spl2737_214 <=> ordered_ab_group_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_214])])).
% 59.37/10.05  tff(f34769,plain,(
% 59.37/10.05    ordered_ab_group_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9739])).
% 59.37/10.05  tff(f9739,axiom,(
% 59.37/10.05    ordered_ab_group_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add_586)).
% 59.37/10.05  tff(f65287,plain,(
% 59.37/10.05    spl2737_213),
% 59.37/10.05    inference(avatar_split_clause,[],[f34768,f65284])).
% 59.37/10.05  tff(f65284,plain,(
% 59.37/10.05    spl2737_213 <=> topolo1944317154257567458pology(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_213])])).
% 59.37/10.05  tff(f34768,plain,(
% 59.37/10.05    topolo1944317154257567458pology(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9152])).
% 59.37/10.05  tff(f9152,axiom,(
% 59.37/10.05    topolo1944317154257567458pology(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Olinorder__topology_36)).
% 59.37/10.05  tff(f65282,plain,(
% 59.37/10.05    spl2737_212),
% 59.37/10.05    inference(avatar_split_clause,[],[f34767,f65279])).
% 59.37/10.05  tff(f65279,plain,(
% 59.37/10.05    spl2737_212 <=> topolo1944317154257567458pology(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_212])])).
% 59.37/10.05  tff(f34767,plain,(
% 59.37/10.05    topolo1944317154257567458pology(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9359])).
% 59.37/10.05  tff(f9359,axiom,(
% 59.37/10.05    topolo1944317154257567458pology(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Olinorder__topology_229)).
% 59.37/10.05  tff(f65277,plain,(
% 59.37/10.05    spl2737_211),
% 59.37/10.05    inference(avatar_split_clause,[],[f34766,f65274])).
% 59.37/10.05  tff(f65274,plain,(
% 59.37/10.05    spl2737_211 <=> topolo1944317154257567458pology(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_211])])).
% 59.37/10.05  tff(f34766,plain,(
% 59.37/10.05    topolo1944317154257567458pology(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9028])).
% 59.37/10.05  tff(f9028,axiom,(
% 59.37/10.05    topolo1944317154257567458pology(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Olinorder__topology)).
% 59.37/10.05  tff(f65272,plain,(
% 59.37/10.05    spl2737_210),
% 59.37/10.05    inference(avatar_split_clause,[],[f34765,f65269])).
% 59.37/10.05  tff(f65269,plain,(
% 59.37/10.05    spl2737_210 <=> topolo1944317154257567458pology(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_210])])).
% 59.37/10.05  tff(f34765,plain,(
% 59.37/10.05    topolo1944317154257567458pology(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9401])).
% 59.37/10.05  tff(f9401,axiom,(
% 59.37/10.05    topolo1944317154257567458pology(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinorder__topology_263)).
% 59.37/10.05  tff(f65267,plain,(
% 59.37/10.05    spl2737_209),
% 59.37/10.05    inference(avatar_split_clause,[],[f34764,f65264])).
% 59.37/10.05  tff(f65264,plain,(
% 59.37/10.05    spl2737_209 <=> bit_un5681908812861735899ations(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_209])])).
% 59.37/10.05  tff(f34764,plain,(
% 59.37/10.05    bit_un5681908812861735899ations(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9132])).
% 59.37/10.05  tff(f9132,axiom,(
% 59.37/10.05    bit_un5681908812861735899ations(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_18)).
% 59.37/10.05  tff(f65262,plain,(
% 59.37/10.05    spl2737_208),
% 59.37/10.05    inference(avatar_split_clause,[],[f34763,f65259])).
% 59.37/10.05  tff(f65259,plain,(
% 59.37/10.05    spl2737_208 <=> bit_un5681908812861735899ations(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_208])])).
% 59.37/10.05  tff(f34763,plain,(
% 59.37/10.05    bit_un5681908812861735899ations(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9008])).
% 59.37/10.05  tff(f9008,axiom,(
% 59.37/10.05    bit_un5681908812861735899ations(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations)).
% 59.37/10.05  tff(f65257,plain,(
% 59.37/10.05    spl2737_207),
% 59.37/10.05    inference(avatar_split_clause,[],[f34762,f65254])).
% 59.37/10.05  tff(f65254,plain,(
% 59.37/10.05    spl2737_207 <=> bit_un5681908812861735899ations(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_207])])).
% 59.37/10.05  tff(f34762,plain,(
% 59.37/10.05    bit_un5681908812861735899ations(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9701])).
% 59.37/10.05  tff(f9701,axiom,(
% 59.37/10.05    bit_un5681908812861735899ations(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_548)).
% 59.37/10.05  tff(f65252,plain,(
% 59.37/10.05    spl2737_206),
% 59.37/10.05    inference(avatar_split_clause,[],[f34761,f65249])).
% 59.37/10.05  tff(f65249,plain,(
% 59.37/10.05    spl2737_206 <=> bit_un5681908812861735899ations(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_206])])).
% 59.37/10.05  tff(f34761,plain,(
% 59.37/10.05    bit_un5681908812861735899ations(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9801])).
% 59.37/10.05  tff(f9801,axiom,(
% 59.37/10.05    bit_un5681908812861735899ations(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_648)).
% 59.37/10.05  tff(f65247,plain,(
% 59.37/10.05    spl2737_205),
% 59.37/10.05    inference(avatar_split_clause,[],[f34760,f65244])).
% 59.37/10.05  tff(f34760,plain,(
% 59.37/10.05    bit_semiring_bits(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9171])).
% 59.37/10.05  tff(f9171,axiom,(
% 59.37/10.05    bit_semiring_bits(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bits_55)).
% 59.37/10.05  tff(f65242,plain,(
% 59.37/10.05    spl2737_204),
% 59.37/10.05    inference(avatar_split_clause,[],[f34759,f65239])).
% 59.37/10.05  tff(f34759,plain,(
% 59.37/10.05    bit_semiring_bits(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9054])).
% 59.37/10.05  tff(f9054,axiom,(
% 59.37/10.05    bit_semiring_bits(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bits)).
% 59.37/10.05  tff(f65237,plain,(
% 59.37/10.05    spl2737_203),
% 59.37/10.05    inference(avatar_split_clause,[],[f34758,f65234])).
% 59.37/10.05  tff(f34758,plain,(
% 59.37/10.05    bit_semiring_bits(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9736])).
% 59.37/10.05  tff(f9736,axiom,(
% 59.37/10.05    bit_semiring_bits(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bits_583)).
% 59.37/10.05  tff(f65232,plain,(
% 59.37/10.05    spl2737_202),
% 59.37/10.05    inference(avatar_split_clause,[],[f34757,f65229])).
% 59.37/10.05  tff(f34757,plain,(
% 59.37/10.05    bit_semiring_bits(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9825])).
% 59.37/10.05  tff(f9825,axiom,(
% 59.37/10.05    bit_semiring_bits(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Bit__Operations_Osemiring__bits_672)).
% 59.37/10.05  tff(f65227,plain,(
% 59.37/10.05    spl2737_201),
% 59.37/10.05    inference(avatar_split_clause,[],[f34756,f65224])).
% 59.37/10.05  tff(f65224,plain,(
% 59.37/10.05    spl2737_201 <=> topolo2564578578187576103pology(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_201])])).
% 59.37/10.05  tff(f34756,plain,(
% 59.37/10.05    topolo2564578578187576103pology(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9156])).
% 59.37/10.05  tff(f9156,axiom,(
% 59.37/10.05    topolo2564578578187576103pology(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Oorder__topology_40)).
% 59.37/10.05  tff(f65222,plain,(
% 59.37/10.05    spl2737_200),
% 59.37/10.05    inference(avatar_split_clause,[],[f34755,f65219])).
% 59.37/10.05  tff(f65219,plain,(
% 59.37/10.05    spl2737_200 <=> topolo2564578578187576103pology(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_200])])).
% 59.37/10.05  tff(f34755,plain,(
% 59.37/10.05    topolo2564578578187576103pology(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9363])).
% 59.37/10.05  tff(f9363,axiom,(
% 59.37/10.05    topolo2564578578187576103pology(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Oorder__topology_233)).
% 59.37/10.05  tff(f65217,plain,(
% 59.37/10.05    spl2737_199),
% 59.37/10.05    inference(avatar_split_clause,[],[f34754,f65214])).
% 59.37/10.05  tff(f65214,plain,(
% 59.37/10.05    spl2737_199 <=> boolea8198339166811842893lgebra(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_199])])).
% 59.37/10.05  tff(f34754,plain,(
% 59.37/10.05    boolea8198339166811842893lgebra(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9364])).
% 59.37/10.05  tff(f9364,axiom,(
% 59.37/10.05    boolea8198339166811842893lgebra(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Boolean__Algebras_Oboolean__algebra_234)).
% 59.37/10.05  tff(f65212,plain,(
% 59.37/10.05    spl2737_198),
% 59.37/10.05    inference(avatar_split_clause,[],[f34753,f65209])).
% 59.37/10.05  tff(f65209,plain,(
% 59.37/10.05    spl2737_198 <=> topolo2564578578187576103pology(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_198])])).
% 59.37/10.05  tff(f34753,plain,(
% 59.37/10.05    topolo2564578578187576103pology(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9034])).
% 59.37/10.05  tff(f9034,axiom,(
% 59.37/10.05    topolo2564578578187576103pology(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Oorder__topology)).
% 59.37/10.05  tff(f65207,plain,(
% 59.37/10.05    spl2737_197),
% 59.37/10.05    inference(avatar_split_clause,[],[f34752,f65204])).
% 59.37/10.05  tff(f65204,plain,(
% 59.37/10.05    spl2737_197 <=> topolo2564578578187576103pology(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_197])])).
% 59.37/10.05  tff(f34752,plain,(
% 59.37/10.05    topolo2564578578187576103pology(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9409])).
% 59.37/10.05  tff(f9409,axiom,(
% 59.37/10.05    topolo2564578578187576103pology(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Oorder__topology_269)).
% 59.37/10.05  tff(f65202,plain,(
% 59.37/10.05    spl2737_196),
% 59.37/10.05    inference(avatar_split_clause,[],[f34751,f65199])).
% 59.37/10.05  tff(f65199,plain,(
% 59.37/10.05    spl2737_196 <=> boolea8198339166811842893lgebra(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_196])])).
% 59.37/10.05  tff(f34751,plain,(
% 59.37/10.05    boolea8198339166811842893lgebra(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9685])).
% 59.37/10.05  tff(f9685,axiom,(
% 59.37/10.05    boolea8198339166811842893lgebra(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Boolean__Algebras_Oboolean__algebra_532)).
% 59.37/10.05  tff(f65197,plain,(
% 59.37/10.05    spl2737_195),
% 59.37/10.05    inference(avatar_split_clause,[],[f34750,f65194])).
% 59.37/10.05  tff(f65194,plain,(
% 59.37/10.05    spl2737_195 <=> ordere166539214618696060dd_abs(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_195])])).
% 59.37/10.05  tff(f34750,plain,(
% 59.37/10.05    ordere166539214618696060dd_abs(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9043])).
% 59.37/10.05  tff(f9043,axiom,(
% 59.37/10.05    ordere166539214618696060dd_abs(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add__abs)).
% 59.37/10.05  tff(f65192,plain,(
% 59.37/10.05    spl2737_194),
% 59.37/10.05    inference(avatar_split_clause,[],[f34749,f65189])).
% 59.37/10.05  tff(f65189,plain,(
% 59.37/10.05    spl2737_194 <=> ordere166539214618696060dd_abs(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_194])])).
% 59.37/10.05  tff(f34749,plain,(
% 59.37/10.05    ordere166539214618696060dd_abs(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9422])).
% 59.37/10.05  tff(f9422,axiom,(
% 59.37/10.05    ordere166539214618696060dd_abs(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add__abs_276)).
% 59.37/10.05  tff(f65187,plain,(
% 59.37/10.05    spl2737_193),
% 59.37/10.05    inference(avatar_split_clause,[],[f34748,f65184])).
% 59.37/10.05  tff(f65184,plain,(
% 59.37/10.05    spl2737_193 <=> ordere166539214618696060dd_abs(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_193])])).
% 59.37/10.05  tff(f34748,plain,(
% 59.37/10.05    ordere166539214618696060dd_abs(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9252])).
% 59.37/10.05  tff(f9252,axiom,(
% 59.37/10.05    ordere166539214618696060dd_abs(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add__abs_131)).
% 59.37/10.05  tff(f65182,plain,(
% 59.37/10.05    spl2737_192),
% 59.37/10.05    inference(avatar_split_clause,[],[f34747,f65179])).
% 59.37/10.05  tff(f65179,plain,(
% 59.37/10.05    spl2737_192 <=> ordere166539214618696060dd_abs(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_192])])).
% 59.37/10.05  tff(f34747,plain,(
% 59.37/10.05    ordere166539214618696060dd_abs(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9728])).
% 59.37/10.05  tff(f9728,axiom,(
% 59.37/10.05    ordere166539214618696060dd_abs(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add__abs_575)).
% 59.37/10.05  tff(f65177,plain,(
% 59.37/10.05    spl2737_191),
% 59.37/10.05    inference(avatar_split_clause,[],[f34746,f65174])).
% 59.37/10.05  tff(f65174,plain,(
% 59.37/10.05    spl2737_191 <=> euclid4440199948858584721cancel(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_191])])).
% 59.37/10.05  tff(f34746,plain,(
% 59.37/10.05    euclid4440199948858584721cancel(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9137])).
% 59.37/10.05  tff(f9137,axiom,(
% 59.37/10.05    euclid4440199948858584721cancel(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring__cancel_23)).
% 59.37/10.05  tff(f65172,plain,(
% 59.37/10.05    spl2737_190),
% 59.37/10.05    inference(avatar_split_clause,[],[f34745,f65169])).
% 59.37/10.05  tff(f65169,plain,(
% 59.37/10.05    spl2737_190 <=> euclid4440199948858584721cancel(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_190])])).
% 59.37/10.05  tff(f34745,plain,(
% 59.37/10.05    euclid4440199948858584721cancel(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9014])).
% 59.37/10.05  tff(f9014,axiom,(
% 59.37/10.05    euclid4440199948858584721cancel(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring__cancel)).
% 59.37/10.05  tff(f65167,plain,(
% 59.37/10.05    spl2737_189),
% 59.37/10.05    inference(avatar_split_clause,[],[f34744,f65164])).
% 59.37/10.05  tff(f65164,plain,(
% 59.37/10.05    spl2737_189 <=> euclid4440199948858584721cancel(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_189])])).
% 59.37/10.05  tff(f34744,plain,(
% 59.37/10.05    euclid4440199948858584721cancel(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9707])).
% 59.37/10.05  tff(f9707,axiom,(
% 59.37/10.05    euclid4440199948858584721cancel(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring__cancel_554)).
% 59.37/10.05  tff(f65162,plain,(
% 59.37/10.05    spl2737_188),
% 59.37/10.05    inference(avatar_split_clause,[],[f34743,f65159])).
% 59.37/10.05  tff(f65159,plain,(
% 59.37/10.05    spl2737_188 <=> euclid4440199948858584721cancel(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_188])])).
% 59.37/10.05  tff(f34743,plain,(
% 59.37/10.05    euclid4440199948858584721cancel(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9805])).
% 59.37/10.05  tff(f9805,axiom,(
% 59.37/10.05    euclid4440199948858584721cancel(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Euclidean__Division_Oeuclidean__semiring__cancel_652)).
% 59.37/10.05  tff(f65157,plain,(
% 59.37/10.05    spl2737_187),
% 59.37/10.05    inference(avatar_split_clause,[],[f34742,f65154])).
% 59.37/10.05  tff(f65154,plain,(
% 59.37/10.05    spl2737_187 <=> euclid5411537665997757685th_nat(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_187])])).
% 59.37/10.05  tff(f34742,plain,(
% 59.37/10.05    euclid5411537665997757685th_nat(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9134])).
% 59.37/10.05  tff(f9134,axiom,(
% 59.37/10.05    euclid5411537665997757685th_nat(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring__with__nat_20)).
% 59.37/10.05  tff(f65152,plain,(
% 59.37/10.05    spl2737_186),
% 59.37/10.05    inference(avatar_split_clause,[],[f34741,f65149])).
% 59.37/10.05  tff(f65149,plain,(
% 59.37/10.05    spl2737_186 <=> euclid5411537665997757685th_nat(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_186])])).
% 59.37/10.05  tff(f34741,plain,(
% 59.37/10.05    euclid5411537665997757685th_nat(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9010])).
% 59.37/10.05  tff(f9010,axiom,(
% 59.37/10.05    euclid5411537665997757685th_nat(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring__with__nat)).
% 59.37/10.05  tff(f65147,plain,(
% 59.37/10.05    spl2737_185),
% 59.37/10.05    inference(avatar_split_clause,[],[f34740,f65144])).
% 59.37/10.05  tff(f65144,plain,(
% 59.37/10.05    spl2737_185 <=> euclid5411537665997757685th_nat(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_185])])).
% 59.37/10.05  tff(f34740,plain,(
% 59.37/10.05    euclid5411537665997757685th_nat(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9703])).
% 59.37/10.05  tff(f9703,axiom,(
% 59.37/10.05    euclid5411537665997757685th_nat(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring__with__nat_550)).
% 59.37/10.05  tff(f65142,plain,(
% 59.37/10.05    spl2737_184),
% 59.37/10.05    inference(avatar_split_clause,[],[f34739,f65139])).
% 59.37/10.05  tff(f65139,plain,(
% 59.37/10.05    spl2737_184 <=> euclid5411537665997757685th_nat(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_184])])).
% 59.37/10.05  tff(f34739,plain,(
% 59.37/10.05    euclid5411537665997757685th_nat(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9802])).
% 59.37/10.05  tff(f9802,axiom,(
% 59.37/10.05    euclid5411537665997757685th_nat(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Euclidean__Division_Ounique__euclidean__semiring__with__nat_649)).
% 59.37/10.05  tff(f65137,plain,(
% 59.37/10.05    spl2737_183),
% 59.37/10.05    inference(avatar_split_clause,[],[f34738,f65134])).
% 59.37/10.05  tff(f34738,plain,(
% 59.37/10.05    linord4710134922213307826strict(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9052])).
% 59.37/10.05  tff(f9052,axiom,(
% 59.37/10.05    linord4710134922213307826strict(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring__strict)).
% 59.37/10.05  tff(f65132,plain,(
% 59.37/10.05    spl2737_182),
% 59.37/10.05    inference(avatar_split_clause,[],[f34737,f65129])).
% 59.37/10.05  tff(f34737,plain,(
% 59.37/10.05    linord4710134922213307826strict(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9432])).
% 59.37/10.05  tff(f9432,axiom,(
% 59.37/10.05    linord4710134922213307826strict(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring__strict_284)).
% 59.37/10.05  tff(f65127,plain,(
% 59.37/10.05    spl2737_181),
% 59.37/10.05    inference(avatar_split_clause,[],[f34736,f65124])).
% 59.37/10.05  tff(f34736,plain,(
% 59.37/10.05    linord4710134922213307826strict(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9259])).
% 59.37/10.05  tff(f9259,axiom,(
% 59.37/10.05    linord4710134922213307826strict(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring__strict_137)).
% 59.37/10.05  tff(f65122,plain,(
% 59.37/10.05    spl2737_180),
% 59.37/10.05    inference(avatar_split_clause,[],[f34735,f65119])).
% 59.37/10.05  tff(f34735,plain,(
% 59.37/10.05    linord4710134922213307826strict(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9734])).
% 59.37/10.05  tff(f9734,axiom,(
% 59.37/10.05    linord4710134922213307826strict(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring__strict_581)).
% 59.37/10.05  tff(f65117,plain,(
% 59.37/10.05    spl2737_179),
% 59.37/10.05    inference(avatar_split_clause,[],[f34734,f65114])).
% 59.37/10.05  tff(f65114,plain,(
% 59.37/10.05    spl2737_179 <=> euclid3725896446679973847miring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_179])])).
% 59.37/10.05  tff(f34734,plain,(
% 59.37/10.05    euclid3725896446679973847miring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9150])).
% 59.37/10.05  tff(f9150,axiom,(
% 59.37/10.05    euclid3725896446679973847miring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring_34)).
% 59.37/10.05  tff(f65112,plain,(
% 59.37/10.05    spl2737_178),
% 59.37/10.05    inference(avatar_split_clause,[],[f34733,f65109])).
% 59.37/10.05  tff(f65109,plain,(
% 59.37/10.05    spl2737_178 <=> semiring_parity(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_178])])).
% 59.37/10.05  tff(f34733,plain,(
% 59.37/10.05    semiring_parity(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9189])).
% 59.37/10.05  tff(f9189,axiom,(
% 59.37/10.05    semiring_parity(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Parity_Osemiring__parity_72)).
% 59.37/10.05  tff(f65107,plain,(
% 59.37/10.05    spl2737_177),
% 59.37/10.05    inference(avatar_split_clause,[],[f34732,f65104])).
% 59.37/10.05  tff(f65104,plain,(
% 59.37/10.05    spl2737_177 <=> euclid3725896446679973847miring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_177])])).
% 59.37/10.05  tff(f34732,plain,(
% 59.37/10.05    euclid3725896446679973847miring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9026])).
% 59.37/10.05  tff(f9026,axiom,(
% 59.37/10.05    euclid3725896446679973847miring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring)).
% 59.37/10.05  tff(f65102,plain,(
% 59.37/10.05    spl2737_176),
% 59.37/10.05    inference(avatar_split_clause,[],[f34731,f65099])).
% 59.37/10.05  tff(f65099,plain,(
% 59.37/10.05    spl2737_176 <=> semiring_parity(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_176])])).
% 59.37/10.05  tff(f34731,plain,(
% 59.37/10.05    semiring_parity(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9074])).
% 59.37/10.05  tff(f9074,axiom,(
% 59.37/10.05    semiring_parity(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Osemiring__parity)).
% 59.37/10.05  tff(f65097,plain,(
% 59.37/10.05    spl2737_175),
% 59.37/10.05    inference(avatar_split_clause,[],[f34730,f65094])).
% 59.37/10.05  tff(f65094,plain,(
% 59.37/10.05    spl2737_175 <=> semiring_parity(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_175])])).
% 59.37/10.05  tff(f34730,plain,(
% 59.37/10.05    semiring_parity(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9751])).
% 59.37/10.05  tff(f9751,axiom,(
% 59.37/10.05    semiring_parity(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Osemiring__parity_598)).
% 59.37/10.05  tff(f65092,plain,(
% 59.37/10.05    spl2737_174),
% 59.37/10.05    inference(avatar_split_clause,[],[f34729,f65089])).
% 59.37/10.05  tff(f65089,plain,(
% 59.37/10.05    spl2737_174 <=> euclid3725896446679973847miring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_174])])).
% 59.37/10.05  tff(f34729,plain,(
% 59.37/10.05    euclid3725896446679973847miring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9718])).
% 59.37/10.05  tff(f9718,axiom,(
% 59.37/10.05    euclid3725896446679973847miring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring_565)).
% 59.37/10.05  tff(f65087,plain,(
% 59.37/10.05    spl2737_173),
% 59.37/10.05    inference(avatar_split_clause,[],[f34728,f65084])).
% 59.37/10.05  tff(f65084,plain,(
% 59.37/10.05    spl2737_173 <=> euclid3725896446679973847miring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_173])])).
% 59.37/10.05  tff(f34728,plain,(
% 59.37/10.05    euclid3725896446679973847miring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9814])).
% 59.37/10.05  tff(f9814,axiom,(
% 59.37/10.05    euclid3725896446679973847miring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Euclidean__Division_Oeuclidean__semiring_661)).
% 59.37/10.05  tff(f65082,plain,(
% 59.37/10.05    spl2737_172),
% 59.37/10.05    inference(avatar_split_clause,[],[f34727,f65079])).
% 59.37/10.05  tff(f65079,plain,(
% 59.37/10.05    spl2737_172 <=> semiring_parity(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_172])])).
% 59.37/10.05  tff(f34727,plain,(
% 59.37/10.05    semiring_parity(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9838])).
% 59.37/10.05  tff(f9838,axiom,(
% 59.37/10.05    semiring_parity(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Parity_Osemiring__parity_685)).
% 59.37/10.05  tff(f65077,plain,(
% 59.37/10.05    spl2737_171),
% 59.37/10.05    inference(avatar_split_clause,[],[f34726,f65074])).
% 59.37/10.05  tff(f65074,plain,(
% 59.37/10.05    spl2737_171 <=> linord5086331880401160121up_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_171])])).
% 59.37/10.05  tff(f34726,plain,(
% 59.37/10.05    linord5086331880401160121up_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9047])).
% 59.37/10.05  tff(f9047,axiom,(
% 59.37/10.05    linord5086331880401160121up_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__group__add)).
% 59.37/10.05  tff(f65072,plain,(
% 59.37/10.05    spl2737_170),
% 59.37/10.05    inference(avatar_split_clause,[],[f34725,f65069])).
% 59.37/10.05  tff(f65069,plain,(
% 59.37/10.05    spl2737_170 <=> linord5086331880401160121up_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_170])])).
% 59.37/10.05  tff(f34725,plain,(
% 59.37/10.05    linord5086331880401160121up_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9426])).
% 59.37/10.05  tff(f9426,axiom,(
% 59.37/10.05    linord5086331880401160121up_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__group__add_279)).
% 59.37/10.05  tff(f65067,plain,(
% 59.37/10.05    spl2737_169),
% 59.37/10.05    inference(avatar_split_clause,[],[f34724,f65064])).
% 59.37/10.05  tff(f65064,plain,(
% 59.37/10.05    spl2737_169 <=> linord5086331880401160121up_add(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_169])])).
% 59.37/10.05  tff(f34724,plain,(
% 59.37/10.05    linord5086331880401160121up_add(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9255])).
% 59.37/10.05  tff(f9255,axiom,(
% 59.37/10.05    linord5086331880401160121up_add(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__group__add_133)).
% 59.37/10.05  tff(f65062,plain,(
% 59.37/10.05    spl2737_168),
% 59.37/10.05    inference(avatar_split_clause,[],[f34723,f65059])).
% 59.37/10.05  tff(f65059,plain,(
% 59.37/10.05    spl2737_168 <=> linord5086331880401160121up_add(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_168])])).
% 59.37/10.05  tff(f34723,plain,(
% 59.37/10.05    linord5086331880401160121up_add(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9730])).
% 59.37/10.05  tff(f9730,axiom,(
% 59.37/10.05    linord5086331880401160121up_add(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__group__add_577)).
% 59.37/10.05  tff(f65057,plain,(
% 59.37/10.05    spl2737_167),
% 59.37/10.05    inference(avatar_split_clause,[],[f34722,f65054])).
% 59.37/10.05  tff(f65054,plain,(
% 59.37/10.05    spl2737_167 <=> topolo6943815403480290642id_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_167])])).
% 59.37/10.05  tff(f34722,plain,(
% 59.37/10.05    topolo6943815403480290642id_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9168])).
% 59.37/10.05  tff(f9168,axiom,(
% 59.37/10.05    topolo6943815403480290642id_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__add_52)).
% 59.37/10.05  tff(f65052,plain,(
% 59.37/10.05    spl2737_166),
% 59.37/10.05    inference(avatar_split_clause,[],[f34721,f65049])).
% 59.37/10.05  tff(f65049,plain,(
% 59.37/10.05    spl2737_166 <=> topolo6943815403480290642id_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_166])])).
% 59.37/10.05  tff(f34721,plain,(
% 59.37/10.05    topolo6943815403480290642id_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9050])).
% 59.37/10.05  tff(f9050,axiom,(
% 59.37/10.05    topolo6943815403480290642id_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__add)).
% 59.37/10.05  tff(f65047,plain,(
% 59.37/10.05    spl2737_165),
% 59.37/10.05    inference(avatar_split_clause,[],[f34720,f65044])).
% 59.37/10.05  tff(f65044,plain,(
% 59.37/10.05    spl2737_165 <=> topolo6943815403480290642id_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_165])])).
% 59.37/10.05  tff(f34720,plain,(
% 59.37/10.05    topolo6943815403480290642id_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9430])).
% 59.37/10.05  tff(f9430,axiom,(
% 59.37/10.05    topolo6943815403480290642id_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__monoid__add_282)).
% 59.37/10.05  tff(f65042,plain,(
% 59.37/10.05    spl2737_164),
% 59.37/10.05    inference(avatar_split_clause,[],[f34719,f65039])).
% 59.37/10.05  tff(f65039,plain,(
% 59.37/10.05    spl2737_164 <=> topolo6943815403480290642id_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_164])])).
% 59.37/10.05  tff(f34719,plain,(
% 59.37/10.05    topolo6943815403480290642id_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9563])).
% 59.37/10.05  tff(f9563,axiom,(
% 59.37/10.05    topolo6943815403480290642id_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__monoid__add_411)).
% 59.37/10.05  tff(f65037,plain,(
% 59.37/10.05    spl2737_163),
% 59.37/10.05    inference(avatar_split_clause,[],[f34718,f65034])).
% 59.37/10.05  tff(f65034,plain,(
% 59.37/10.05    spl2737_163 <=> semidom_modulo(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_163])])).
% 59.37/10.05  tff(f34718,plain,(
% 59.37/10.05    semidom_modulo(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9195])).
% 59.37/10.05  tff(f9195,axiom,(
% 59.37/10.05    semidom_modulo(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__modulo_78)).
% 59.37/10.05  tff(f65032,plain,(
% 59.37/10.05    spl2737_162),
% 59.37/10.05    inference(avatar_split_clause,[],[f34717,f65029])).
% 59.37/10.05  tff(f65029,plain,(
% 59.37/10.05    spl2737_162 <=> semidom_modulo(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_162])])).
% 59.37/10.05  tff(f34717,plain,(
% 59.37/10.05    semidom_modulo(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9082])).
% 59.37/10.05  tff(f9082,axiom,(
% 59.37/10.05    semidom_modulo(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__modulo)).
% 59.37/10.05  tff(f65027,plain,(
% 59.37/10.05    spl2737_161),
% 59.37/10.05    inference(avatar_split_clause,[],[f34716,f65024])).
% 59.37/10.05  tff(f65024,plain,(
% 59.37/10.05    spl2737_161 <=> semidom_modulo(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_161])])).
% 59.37/10.05  tff(f34716,plain,(
% 59.37/10.05    semidom_modulo(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9759])).
% 59.37/10.05  tff(f9759,axiom,(
% 59.37/10.05    semidom_modulo(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__modulo_606)).
% 59.37/10.05  tff(f65022,plain,(
% 59.37/10.05    spl2737_160),
% 59.37/10.05    inference(avatar_split_clause,[],[f34715,f65019])).
% 59.37/10.05  tff(f65019,plain,(
% 59.37/10.05    spl2737_160 <=> semidom_modulo(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_160])])).
% 59.37/10.05  tff(f34715,plain,(
% 59.37/10.05    semidom_modulo(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9844])).
% 59.37/10.05  tff(f9844,axiom,(
% 59.37/10.05    semidom_modulo(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemidom__modulo_691)).
% 59.37/10.05  tff(f65017,plain,(
% 59.37/10.05    spl2737_159),
% 59.37/10.05    inference(avatar_split_clause,[],[f34714,f65014])).
% 59.37/10.05  tff(f65014,plain,(
% 59.37/10.05    spl2737_159 <=> topolo4211221413907600880p_mult(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_159])])).
% 59.37/10.05  tff(f34714,plain,(
% 59.37/10.05    topolo4211221413907600880p_mult(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9159])).
% 59.37/10.05  tff(f9159,axiom,(
% 59.37/10.05    topolo4211221413907600880p_mult(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__semigroup__mult_43)).
% 59.37/10.05  tff(f65012,plain,(
% 59.37/10.05    spl2737_158),
% 59.37/10.05    inference(avatar_split_clause,[],[f34713,f65009])).
% 59.37/10.05  tff(f65009,plain,(
% 59.37/10.05    spl2737_158 <=> topolo4211221413907600880p_mult(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_158])])).
% 59.37/10.05  tff(f34713,plain,(
% 59.37/10.05    topolo4211221413907600880p_mult(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9037])).
% 59.37/10.05  tff(f9037,axiom,(
% 59.37/10.05    topolo4211221413907600880p_mult(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__semigroup__mult)).
% 59.37/10.05  tff(f65007,plain,(
% 59.37/10.05    spl2737_157),
% 59.37/10.05    inference(avatar_split_clause,[],[f34712,f65004])).
% 59.37/10.05  tff(f65004,plain,(
% 59.37/10.05    spl2737_157 <=> topolo4211221413907600880p_mult(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_157])])).
% 59.37/10.05  tff(f34712,plain,(
% 59.37/10.05    topolo4211221413907600880p_mult(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9414])).
% 59.37/10.05  tff(f9414,axiom,(
% 59.37/10.05    topolo4211221413907600880p_mult(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__semigroup__mult_272)).
% 59.37/10.05  tff(f65002,plain,(
% 59.37/10.05    spl2737_156),
% 59.37/10.05    inference(avatar_split_clause,[],[f34711,f64999])).
% 59.37/10.05  tff(f64999,plain,(
% 59.37/10.05    spl2737_156 <=> topolo4211221413907600880p_mult(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_156])])).
% 59.37/10.05  tff(f34711,plain,(
% 59.37/10.05    topolo4211221413907600880p_mult(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9553])).
% 59.37/10.05  tff(f9553,axiom,(
% 59.37/10.05    topolo4211221413907600880p_mult(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__semigroup__mult_401)).
% 59.37/10.05  tff(f64997,plain,(
% 59.37/10.05    spl2737_155),
% 59.37/10.05    inference(avatar_split_clause,[],[f34710,f64994])).
% 59.37/10.05  tff(f64994,plain,(
% 59.37/10.05    spl2737_155 <=> euclid3128863361964157862miring(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_155])])).
% 59.37/10.05  tff(f34710,plain,(
% 59.37/10.05    euclid3128863361964157862miring(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9136])).
% 59.37/10.05  tff(f9136,axiom,(
% 59.37/10.05    euclid3128863361964157862miring(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring_22)).
% 59.37/10.05  tff(f64992,plain,(
% 59.37/10.05    spl2737_154),
% 59.37/10.05    inference(avatar_split_clause,[],[f34709,f64989])).
% 59.37/10.05  tff(f64989,plain,(
% 59.37/10.05    spl2737_154 <=> euclid3128863361964157862miring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_154])])).
% 59.37/10.05  tff(f34709,plain,(
% 59.37/10.05    euclid3128863361964157862miring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9013])).
% 59.37/10.05  tff(f9013,axiom,(
% 59.37/10.05    euclid3128863361964157862miring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring)).
% 59.37/10.05  tff(f64987,plain,(
% 59.37/10.05    spl2737_153),
% 59.37/10.05    inference(avatar_split_clause,[],[f34708,f64984])).
% 59.37/10.05  tff(f64984,plain,(
% 59.37/10.05    spl2737_153 <=> euclid3128863361964157862miring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_153])])).
% 59.37/10.05  tff(f34708,plain,(
% 59.37/10.05    euclid3128863361964157862miring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9706])).
% 59.37/10.05  tff(f9706,axiom,(
% 59.37/10.05    euclid3128863361964157862miring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring_553)).
% 59.37/10.05  tff(f64982,plain,(
% 59.37/10.05    spl2737_152),
% 59.37/10.05    inference(avatar_split_clause,[],[f34707,f64979])).
% 59.37/10.05  tff(f64979,plain,(
% 59.37/10.05    spl2737_152 <=> euclid3128863361964157862miring(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_152])])).
% 59.37/10.05  tff(f34707,plain,(
% 59.37/10.05    euclid3128863361964157862miring(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9804])).
% 59.37/10.05  tff(f9804,axiom,(
% 59.37/10.05    euclid3128863361964157862miring(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Euclidean__Division_Ounique__euclidean__semiring_651)).
% 59.37/10.05  tff(f64977,plain,(
% 59.37/10.05    spl2737_151),
% 59.37/10.05    inference(avatar_split_clause,[],[f34706,f64974])).
% 59.37/10.05  tff(f64974,plain,(
% 59.37/10.05    spl2737_151 <=> semiring_modulo(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_151])])).
% 59.37/10.05  tff(f34706,plain,(
% 59.37/10.05    semiring_modulo(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9191])).
% 59.37/10.05  tff(f9191,axiom,(
% 59.37/10.05    semiring_modulo(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__modulo_74)).
% 59.37/10.05  tff(f64972,plain,(
% 59.37/10.05    spl2737_150),
% 59.37/10.05    inference(avatar_split_clause,[],[f34705,f64969])).
% 59.37/10.05  tff(f64969,plain,(
% 59.37/10.05    spl2737_150 <=> semiring_modulo(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_150])])).
% 59.37/10.05  tff(f34705,plain,(
% 59.37/10.05    semiring_modulo(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9076])).
% 59.37/10.05  tff(f9076,axiom,(
% 59.37/10.05    semiring_modulo(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__modulo)).
% 59.37/10.05  tff(f64967,plain,(
% 59.37/10.05    spl2737_149),
% 59.37/10.05    inference(avatar_split_clause,[],[f34704,f64964])).
% 59.37/10.05  tff(f64964,plain,(
% 59.37/10.05    spl2737_149 <=> semiring_modulo(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_149])])).
% 59.37/10.05  tff(f34704,plain,(
% 59.37/10.05    semiring_modulo(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9753])).
% 59.37/10.05  tff(f9753,axiom,(
% 59.37/10.05    semiring_modulo(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__modulo_600)).
% 59.37/10.05  tff(f64962,plain,(
% 59.37/10.05    spl2737_148),
% 59.37/10.05    inference(avatar_split_clause,[],[f34703,f64959])).
% 59.37/10.05  tff(f64959,plain,(
% 59.37/10.05    spl2737_148 <=> semiring_modulo(code_natural)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_148])])).
% 59.37/10.05  tff(f34703,plain,(
% 59.37/10.05    semiring_modulo(code_natural)),
% 59.37/10.05    inference(cnf_transformation,[],[f9840])).
% 59.37/10.05  tff(f9840,axiom,(
% 59.37/10.05    semiring_modulo(code_natural)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Rings_Osemiring__modulo_687)).
% 59.37/10.05  tff(f64957,plain,(
% 59.37/10.05    spl2737_147),
% 59.37/10.05    inference(avatar_split_clause,[],[f34702,f64954])).
% 59.37/10.05  tff(f64954,plain,(
% 59.37/10.05    spl2737_147 <=> topolo5987344860129210374id_add(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_147])])).
% 59.37/10.05  tff(f34702,plain,(
% 59.37/10.05    topolo5987344860129210374id_add(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9154])).
% 59.37/10.05  tff(f9154,axiom,(
% 59.37/10.05    topolo5987344860129210374id_add(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__add_38)).
% 59.37/10.05  tff(f64952,plain,(
% 59.37/10.05    spl2737_146),
% 59.37/10.05    inference(avatar_split_clause,[],[f34701,f64949])).
% 59.37/10.05  tff(f64949,plain,(
% 59.37/10.05    spl2737_146 <=> topolo5987344860129210374id_add(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_146])])).
% 59.37/10.05  tff(f34701,plain,(
% 59.37/10.05    topolo5987344860129210374id_add(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9031])).
% 59.37/10.05  tff(f9031,axiom,(
% 59.37/10.05    topolo5987344860129210374id_add(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__add)).
% 59.37/10.05  tff(f64947,plain,(
% 59.37/10.05    spl2737_145),
% 59.37/10.05    inference(avatar_split_clause,[],[f34700,f64944])).
% 59.37/10.05  tff(f64944,plain,(
% 59.37/10.05    spl2737_145 <=> topolo5987344860129210374id_add(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_145])])).
% 59.37/10.05  tff(f34700,plain,(
% 59.37/10.05    topolo5987344860129210374id_add(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9407])).
% 59.37/10.05  tff(f9407,axiom,(
% 59.37/10.05    topolo5987344860129210374id_add(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__comm__monoid__add_267)).
% 59.37/10.05  tff(f64942,plain,(
% 59.37/10.05    spl2737_144),
% 59.37/10.05    inference(avatar_split_clause,[],[f34699,f64939])).
% 59.37/10.05  tff(f64939,plain,(
% 59.37/10.05    spl2737_144 <=> topolo5987344860129210374id_add(complex)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_144])])).
% 59.37/10.05  tff(f34699,plain,(
% 59.37/10.05    topolo5987344860129210374id_add(complex)),
% 59.37/10.05    inference(cnf_transformation,[],[f9549])).
% 59.37/10.05  tff(f9549,axiom,(
% 59.37/10.05    topolo5987344860129210374id_add(complex)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__comm__monoid__add_397)).
% 59.37/10.05  tff(f64937,plain,(
% 59.37/10.05    spl2737_143),
% 59.37/10.05    inference(avatar_split_clause,[],[f34698,f64934])).
% 59.37/10.05  tff(f64934,plain,(
% 59.37/10.05    spl2737_143 <=> ordered_ring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_143])])).
% 59.37/10.05  tff(f34698,plain,(
% 59.37/10.05    ordered_ring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9091])).
% 59.37/10.05  tff(f9091,axiom,(
% 59.37/10.05    ordered_ring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring)).
% 59.37/10.05  tff(f64932,plain,(
% 59.37/10.05    spl2737_142),
% 59.37/10.05    inference(avatar_split_clause,[],[f34697,f64929])).
% 59.37/10.05  tff(f64929,plain,(
% 59.37/10.05    spl2737_142 <=> ordered_ring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_142])])).
% 59.37/10.05  tff(f34697,plain,(
% 59.37/10.05    ordered_ring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9474])).
% 59.37/10.05  tff(f9474,axiom,(
% 59.37/10.05    ordered_ring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring_323)).
% 59.37/10.05  tff(f64927,plain,(
% 59.37/10.05    spl2737_141),
% 59.37/10.05    inference(avatar_split_clause,[],[f34696,f64924])).
% 59.37/10.05  tff(f64924,plain,(
% 59.37/10.05    spl2737_141 <=> ordered_ring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_141])])).
% 59.37/10.05  tff(f34696,plain,(
% 59.37/10.05    ordered_ring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9297])).
% 59.37/10.05  tff(f9297,axiom,(
% 59.37/10.05    ordered_ring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring_169)).
% 59.37/10.05  tff(f64922,plain,(
% 59.37/10.05    spl2737_140),
% 59.37/10.05    inference(avatar_split_clause,[],[f34695,f64919])).
% 59.37/10.05  tff(f64919,plain,(
% 59.37/10.05    spl2737_140 <=> ordered_ring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_140])])).
% 59.37/10.05  tff(f34695,plain,(
% 59.37/10.05    ordered_ring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9768])).
% 59.37/10.05  tff(f9768,axiom,(
% 59.37/10.05    ordered_ring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring_615)).
% 59.37/10.05  tff(f64917,plain,(
% 59.37/10.05    spl2737_139),
% 59.37/10.05    inference(avatar_split_clause,[],[f34694,f64914])).
% 59.37/10.05  tff(f64914,plain,(
% 59.37/10.05    spl2737_139 <=> linordered_ring(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_139])])).
% 59.37/10.05  tff(f34694,plain,(
% 59.37/10.05    linordered_ring(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9077])).
% 59.37/10.05  tff(f9077,axiom,(
% 59.37/10.05    linordered_ring(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring)).
% 59.37/10.05  tff(f64912,plain,(
% 59.37/10.05    spl2737_138),
% 59.37/10.05    inference(avatar_split_clause,[],[f34693,f64909])).
% 59.37/10.05  tff(f64909,plain,(
% 59.37/10.05    spl2737_138 <=> linordered_ring(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_138])])).
% 59.37/10.05  tff(f34693,plain,(
% 59.37/10.05    linordered_ring(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9457])).
% 59.37/10.05  tff(f9457,axiom,(
% 59.37/10.05    linordered_ring(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring_306)).
% 59.37/10.05  tff(f64907,plain,(
% 59.37/10.05    spl2737_137),
% 59.37/10.05    inference(avatar_split_clause,[],[f34692,f64904])).
% 59.37/10.05  tff(f64904,plain,(
% 59.37/10.05    spl2737_137 <=> linordered_ring(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_137])])).
% 59.37/10.05  tff(f34692,plain,(
% 59.37/10.05    linordered_ring(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9280])).
% 59.37/10.05  tff(f9280,axiom,(
% 59.37/10.05    linordered_ring(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring_156)).
% 59.37/10.05  tff(f64902,plain,(
% 59.37/10.05    spl2737_136),
% 59.37/10.05    inference(avatar_split_clause,[],[f34691,f64899])).
% 59.37/10.05  tff(f64899,plain,(
% 59.37/10.05    spl2737_136 <=> linordered_ring(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_136])])).
% 59.37/10.05  tff(f34691,plain,(
% 59.37/10.05    linordered_ring(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9754])).
% 59.37/10.05  tff(f9754,axiom,(
% 59.37/10.05    linordered_ring(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring_601)).
% 59.37/10.05  tff(f64897,plain,(
% 59.37/10.05    spl2737_135),
% 59.37/10.05    inference(avatar_split_clause,[],[f34690,f64894])).
% 59.37/10.05  tff(f64894,plain,(
% 59.37/10.05    spl2737_135 <=> comple489889107523837845lgebra(bool)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_135])])).
% 59.37/10.05  tff(f34690,plain,(
% 59.37/10.05    comple489889107523837845lgebra(bool)),
% 59.37/10.05    inference(cnf_transformation,[],[f9357])).
% 59.37/10.05  tff(f9357,axiom,(
% 59.37/10.05    comple489889107523837845lgebra(bool)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__boolean__algebra_227)).
% 59.37/10.05  tff(f64892,plain,(
% 59.37/10.05    spl2737_134),
% 59.37/10.05    inference(avatar_split_clause,[],[f34689,f64889])).
% 59.37/10.05  tff(f64889,plain,(
% 59.37/10.05    spl2737_134 <=> comple489889107523837845lgebra(product_unit)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_134])])).
% 59.37/10.05  tff(f34689,plain,(
% 59.37/10.05    comple489889107523837845lgebra(product_unit)),
% 59.37/10.05    inference(cnf_transformation,[],[f9680])).
% 59.37/10.05  tff(f9680,axiom,(
% 59.37/10.05    comple489889107523837845lgebra(product_unit)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__boolean__algebra_527)).
% 59.37/10.05  tff(f64887,plain,(
% 59.37/10.05    spl2737_133),
% 59.37/10.05    inference(avatar_split_clause,[],[f34688,f64884])).
% 59.37/10.05  tff(f64884,plain,(
% 59.37/10.05    spl2737_133 <=> no_top(nat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_133])])).
% 59.37/10.05  tff(f34688,plain,(
% 59.37/10.05    no_top(nat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9211])).
% 59.37/10.05  tff(f9211,axiom,(
% 59.37/10.05    no_top(nat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Ono__top_93)).
% 59.37/10.05  tff(f64882,plain,(
% 59.37/10.05    spl2737_132),
% 59.37/10.05    inference(avatar_split_clause,[],[f34687,f64879])).
% 59.37/10.05  tff(f64879,plain,(
% 59.37/10.05    spl2737_132 <=> no_top(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_132])])).
% 59.37/10.05  tff(f34687,plain,(
% 59.37/10.05    no_top(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9103])).
% 59.37/10.05  tff(f9103,axiom,(
% 59.37/10.05    no_top(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__top)).
% 59.37/10.05  tff(f64877,plain,(
% 59.37/10.05    spl2737_131),
% 59.37/10.05    inference(avatar_split_clause,[],[f34686,f64874])).
% 59.37/10.05  tff(f64874,plain,(
% 59.37/10.05    spl2737_131 <=> no_top(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_131])])).
% 59.37/10.05  tff(f34686,plain,(
% 59.37/10.05    no_top(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9485])).
% 59.37/10.05  tff(f9485,axiom,(
% 59.37/10.05    no_top(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__top_333)).
% 59.37/10.05  tff(f64872,plain,(
% 59.37/10.05    spl2737_130),
% 59.37/10.05    inference(avatar_split_clause,[],[f34685,f64869])).
% 59.37/10.05  tff(f64869,plain,(
% 59.37/10.05    spl2737_130 <=> no_top(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_130])])).
% 59.37/10.05  tff(f34685,plain,(
% 59.37/10.05    no_top(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9307])).
% 59.37/10.05  tff(f9307,axiom,(
% 59.37/10.05    no_top(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__top_179)).
% 59.37/10.05  tff(f64867,plain,(
% 59.37/10.05    spl2737_129),
% 59.37/10.05    inference(avatar_split_clause,[],[f34684,f64864])).
% 59.37/10.05  tff(f64864,plain,(
% 59.37/10.05    spl2737_129 <=> abs_if(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_129])])).
% 59.37/10.05  tff(f34684,plain,(
% 59.37/10.05    abs_if(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9119])).
% 59.37/10.05  tff(f9119,axiom,(
% 59.37/10.05    abs_if(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oabs__if)).
% 59.37/10.05  tff(f64862,plain,(
% 59.37/10.05    spl2737_128),
% 59.37/10.05    inference(avatar_split_clause,[],[f34683,f64859])).
% 59.37/10.05  tff(f64859,plain,(
% 59.37/10.05    spl2737_128 <=> abs_if(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_128])])).
% 59.37/10.05  tff(f34683,plain,(
% 59.37/10.05    abs_if(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9500])).
% 59.37/10.05  tff(f9500,axiom,(
% 59.37/10.05    abs_if(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oabs__if_348)).
% 59.37/10.05  tff(f64857,plain,(
% 59.37/10.05    spl2737_127),
% 59.37/10.05    inference(avatar_split_clause,[],[f34682,f64854])).
% 59.37/10.05  tff(f64854,plain,(
% 59.37/10.05    spl2737_127 <=> abs_if(rat)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_127])])).
% 59.37/10.05  tff(f34682,plain,(
% 59.37/10.05    abs_if(rat)),
% 59.37/10.05    inference(cnf_transformation,[],[f9322])).
% 59.37/10.05  tff(f9322,axiom,(
% 59.37/10.05    abs_if(rat)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oabs__if_193)).
% 59.37/10.05  tff(f64852,plain,(
% 59.37/10.05    spl2737_126),
% 59.37/10.05    inference(avatar_split_clause,[],[f34681,f64849])).
% 59.37/10.05  tff(f64849,plain,(
% 59.37/10.05    spl2737_126 <=> abs_if(code_integer)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_126])])).
% 59.37/10.05  tff(f34681,plain,(
% 59.37/10.05    abs_if(code_integer)),
% 59.37/10.05    inference(cnf_transformation,[],[f9791])).
% 59.37/10.05  tff(f9791,axiom,(
% 59.37/10.05    abs_if(code_integer)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oabs__if_638)).
% 59.37/10.05  tff(f64847,plain,(
% 59.37/10.05    spl2737_125),
% 59.37/10.05    inference(avatar_split_clause,[],[f34680,f64844])).
% 59.37/10.05  tff(f64844,plain,(
% 59.37/10.05    spl2737_125 <=> linord6961819062388156250ring_1(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_125])])).
% 59.37/10.05  tff(f34680,plain,(
% 59.37/10.05    linord6961819062388156250ring_1(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9058])).
% 59.37/10.05  tff(f9058,axiom,(
% 59.37/10.05    linord6961819062388156250ring_1(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1)).
% 59.37/10.05  tff(f64842,plain,(
% 59.37/10.05    spl2737_124),
% 59.37/10.05    inference(avatar_split_clause,[],[f34679,f64839])).
% 59.37/10.05  tff(f64839,plain,(
% 59.37/10.05    spl2737_124 <=> ordered_ring_abs(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_124])])).
% 59.37/10.05  tff(f34679,plain,(
% 59.37/10.05    ordered_ring_abs(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9073])).
% 59.37/10.05  tff(f9073,axiom,(
% 59.37/10.05    ordered_ring_abs(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring__abs)).
% 59.37/10.05  tff(f64837,plain,(
% 59.37/10.05    spl2737_123),
% 59.37/10.05    inference(avatar_split_clause,[],[f34678,f64834])).
% 59.37/10.05  tff(f64834,plain,(
% 59.37/10.05    spl2737_123 <=> linord715952674999750819strict(int)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_123])])).
% 59.37/10.05  tff(f34678,plain,(
% 59.37/10.05    linord715952674999750819strict(int)),
% 59.37/10.05    inference(cnf_transformation,[],[f9030])).
% 59.37/10.05  tff(f9030,axiom,(
% 59.37/10.05    linord715952674999750819strict(int)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1__strict)).
% 59.37/10.05  tff(f64832,plain,(
% 59.37/10.05    spl2737_122),
% 59.37/10.05    inference(avatar_split_clause,[],[f34677,f64829])).
% 59.37/10.05  tff(f64829,plain,(
% 59.37/10.05    spl2737_122 <=> linord6961819062388156250ring_1(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_122])])).
% 59.37/10.05  tff(f34677,plain,(
% 59.37/10.05    linord6961819062388156250ring_1(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9438])).
% 59.37/10.05  tff(f9438,axiom,(
% 59.37/10.05    linord6961819062388156250ring_1(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1_288)).
% 59.37/10.05  tff(f64827,plain,(
% 59.37/10.05    spl2737_121),
% 59.37/10.05    inference(avatar_split_clause,[],[f34676,f64824])).
% 59.37/10.05  tff(f64824,plain,(
% 59.37/10.05    spl2737_121 <=> linord715952674999750819strict(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_121])])).
% 59.37/10.05  tff(f34676,plain,(
% 59.37/10.05    linord715952674999750819strict(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9405])).
% 59.37/10.05  tff(f9405,axiom,(
% 59.37/10.05    linord715952674999750819strict(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1__strict_265)).
% 59.37/10.05  tff(f64822,plain,(
% 59.37/10.05    spl2737_120),
% 59.37/10.05    inference(avatar_split_clause,[],[f34675,f64819])).
% 59.37/10.05  tff(f64819,plain,(
% 59.37/10.05    spl2737_120 <=> ordered_ring_abs(real)),
% 59.37/10.05    introduced(avatar_definition,[new_symbols(naming,[spl2737_120])])).
% 59.37/10.05  tff(f34675,plain,(
% 59.37/10.05    ordered_ring_abs(real)),
% 59.37/10.05    inference(cnf_transformation,[],[f9455])).
% 59.37/10.05  tff(f9455,axiom,(
% 59.37/10.05    ordered_ring_abs(real)),
% 59.37/10.05    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring__abs_304)).
% 59.37/10.06  tff(f64817,plain,(
% 59.37/10.06    spl2737_119),
% 59.37/10.06    inference(avatar_split_clause,[],[f34674,f64814])).
% 59.37/10.06  tff(f64814,plain,(
% 59.37/10.06    spl2737_119 <=> linord715952674999750819strict(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_119])])).
% 59.37/10.06  tff(f34674,plain,(
% 59.37/10.06    linord715952674999750819strict(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9244])).
% 59.37/10.06  tff(f9244,axiom,(
% 59.37/10.06    linord715952674999750819strict(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1__strict_124)).
% 59.37/10.06  tff(f64812,plain,(
% 59.37/10.06    spl2737_118),
% 59.37/10.06    inference(avatar_split_clause,[],[f34673,f64809])).
% 59.37/10.06  tff(f64809,plain,(
% 59.37/10.06    spl2737_118 <=> ordered_ring_abs(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_118])])).
% 59.37/10.06  tff(f34673,plain,(
% 59.37/10.06    ordered_ring_abs(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9278])).
% 59.37/10.06  tff(f9278,axiom,(
% 59.37/10.06    ordered_ring_abs(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring__abs_154)).
% 59.37/10.06  tff(f64807,plain,(
% 59.37/10.06    spl2737_117),
% 59.37/10.06    inference(avatar_split_clause,[],[f34672,f64804])).
% 59.37/10.06  tff(f64804,plain,(
% 59.37/10.06    spl2737_117 <=> linord6961819062388156250ring_1(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_117])])).
% 59.37/10.06  tff(f34672,plain,(
% 59.37/10.06    linord6961819062388156250ring_1(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9262])).
% 59.37/10.06  tff(f9262,axiom,(
% 59.37/10.06    linord6961819062388156250ring_1(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1_140)).
% 59.37/10.06  tff(f64802,plain,(
% 59.37/10.06    spl2737_116),
% 59.37/10.06    inference(avatar_split_clause,[],[f34671,f64799])).
% 59.37/10.06  tff(f64799,plain,(
% 59.37/10.06    spl2737_116 <=> linord6961819062388156250ring_1(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_116])])).
% 59.37/10.06  tff(f34671,plain,(
% 59.37/10.06    linord6961819062388156250ring_1(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9738])).
% 59.37/10.06  tff(f9738,axiom,(
% 59.37/10.06    linord6961819062388156250ring_1(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1_585)).
% 59.37/10.06  tff(f64797,plain,(
% 59.37/10.06    spl2737_115),
% 59.37/10.06    inference(avatar_split_clause,[],[f34670,f64794])).
% 59.37/10.06  tff(f64794,plain,(
% 59.37/10.06    spl2737_115 <=> linord715952674999750819strict(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_115])])).
% 59.37/10.06  tff(f34670,plain,(
% 59.37/10.06    linord715952674999750819strict(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9719])).
% 59.37/10.06  tff(f9719,axiom,(
% 59.37/10.06    linord715952674999750819strict(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1__strict_566)).
% 59.37/10.06  tff(f64792,plain,(
% 59.37/10.06    spl2737_114),
% 59.37/10.06    inference(avatar_split_clause,[],[f34669,f64789])).
% 59.37/10.06  tff(f64789,plain,(
% 59.37/10.06    spl2737_114 <=> ordered_ring_abs(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_114])])).
% 59.37/10.06  tff(f34669,plain,(
% 59.37/10.06    ordered_ring_abs(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9750])).
% 59.37/10.06  tff(f9750,axiom,(
% 59.37/10.06    ordered_ring_abs(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring__abs_597)).
% 59.37/10.06  tff(f64787,plain,(
% 59.37/10.06    spl2737_113),
% 59.37/10.06    inference(avatar_split_clause,[],[f34668,f64784])).
% 59.37/10.06  tff(f34668,plain,(
% 59.37/10.06    division_ring(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9467])).
% 59.37/10.06  tff(f9467,axiom,(
% 59.37/10.06    division_ring(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Odivision__ring_316)).
% 59.37/10.06  tff(f64782,plain,(
% 59.37/10.06    spl2737_112),
% 59.37/10.06    inference(avatar_split_clause,[],[f34667,f64779])).
% 59.37/10.06  tff(f34667,plain,(
% 59.37/10.06    division_ring(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9290])).
% 59.37/10.06  tff(f9290,axiom,(
% 59.37/10.06    division_ring(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Odivision__ring)).
% 59.37/10.06  tff(f64777,plain,(
% 59.37/10.06    spl2737_111),
% 59.37/10.06    inference(avatar_split_clause,[],[f34666,f64774])).
% 59.37/10.06  tff(f34666,plain,(
% 59.37/10.06    division_ring(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9583])).
% 59.37/10.06  tff(f9583,axiom,(
% 59.37/10.06    division_ring(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Odivision__ring_431)).
% 59.37/10.06  tff(f64772,plain,(
% 59.37/10.06    spl2737_110),
% 59.37/10.06    inference(avatar_split_clause,[],[f34665,f64769])).
% 59.37/10.06  tff(f64769,plain,(
% 59.37/10.06    spl2737_110 <=> field_char_0(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_110])])).
% 59.37/10.06  tff(f34665,plain,(
% 59.37/10.06    field_char_0(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9472])).
% 59.37/10.06  tff(f9472,axiom,(
% 59.37/10.06    field_char_0(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__char__0_321)).
% 59.37/10.06  tff(f64767,plain,(
% 59.37/10.06    spl2737_109),
% 59.37/10.06    inference(avatar_split_clause,[],[f34664,f64764])).
% 59.37/10.06  tff(f64764,plain,(
% 59.37/10.06    spl2737_109 <=> field_char_0(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_109])])).
% 59.37/10.06  tff(f34664,plain,(
% 59.37/10.06    field_char_0(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9295])).
% 59.37/10.06  tff(f9295,axiom,(
% 59.37/10.06    field_char_0(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield__char__0)).
% 59.37/10.06  tff(f64762,plain,(
% 59.37/10.06    spl2737_108),
% 59.37/10.06    inference(avatar_split_clause,[],[f34663,f64759])).
% 59.37/10.06  tff(f64759,plain,(
% 59.37/10.06    spl2737_108 <=> field_char_0(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_108])])).
% 59.37/10.06  tff(f34663,plain,(
% 59.37/10.06    field_char_0(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9587])).
% 59.37/10.06  tff(f9587,axiom,(
% 59.37/10.06    field_char_0(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__char__0_435)).
% 59.37/10.06  tff(f64757,plain,(
% 59.37/10.06    spl2737_107),
% 59.37/10.06    inference(avatar_split_clause,[],[f34662,f64754])).
% 59.37/10.06  tff(f64754,plain,(
% 59.37/10.06    spl2737_107 <=> field(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_107])])).
% 59.37/10.06  tff(f34662,plain,(
% 59.37/10.06    field(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9502])).
% 59.37/10.06  tff(f9502,axiom,(
% 59.37/10.06    field(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield_350)).
% 59.37/10.06  tff(f64752,plain,(
% 59.37/10.06    spl2737_106),
% 59.37/10.06    inference(avatar_split_clause,[],[f34661,f64749])).
% 59.37/10.06  tff(f64749,plain,(
% 59.37/10.06    spl2737_106 <=> field(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_106])])).
% 59.37/10.06  tff(f34661,plain,(
% 59.37/10.06    field(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9324])).
% 59.37/10.06  tff(f9324,axiom,(
% 59.37/10.06    field(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield)).
% 59.37/10.06  tff(f64747,plain,(
% 59.37/10.06    spl2737_105),
% 59.37/10.06    inference(avatar_split_clause,[],[f34660,f64744])).
% 59.37/10.06  tff(f64744,plain,(
% 59.37/10.06    spl2737_105 <=> field(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_105])])).
% 59.37/10.06  tff(f34660,plain,(
% 59.37/10.06    field(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9607])).
% 59.37/10.06  tff(f9607,axiom,(
% 59.37/10.06    field(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield_455)).
% 59.37/10.06  tff(f64742,plain,(
% 59.37/10.06    spl2737_104),
% 59.37/10.06    inference(avatar_split_clause,[],[f34659,f64739])).
% 59.37/10.06  tff(f64739,plain,(
% 59.37/10.06    spl2737_104 <=> unique1627219031080169319umeral(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_104])])).
% 59.37/10.06  tff(f34659,plain,(
% 59.37/10.06    unique1627219031080169319umeral(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9139])).
% 59.37/10.06  tff(f9139,axiom,(
% 59.37/10.06    unique1627219031080169319umeral(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Divides_Ounique__euclidean__semiring__numeral_25)).
% 59.37/10.06  tff(f64737,plain,(
% 59.37/10.06    spl2737_103),
% 59.37/10.06    inference(avatar_split_clause,[],[f34658,f64734])).
% 59.37/10.06  tff(f64734,plain,(
% 59.37/10.06    spl2737_103 <=> unique1627219031080169319umeral(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_103])])).
% 59.37/10.06  tff(f34658,plain,(
% 59.37/10.06    unique1627219031080169319umeral(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9016])).
% 59.37/10.06  tff(f9016,axiom,(
% 59.37/10.06    unique1627219031080169319umeral(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Divides_Ounique__euclidean__semiring__numeral)).
% 59.37/10.06  tff(f64732,plain,(
% 59.37/10.06    spl2737_102),
% 59.37/10.06    inference(avatar_split_clause,[],[f34657,f64729])).
% 59.37/10.06  tff(f64729,plain,(
% 59.37/10.06    spl2737_102 <=> unique1627219031080169319umeral(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_102])])).
% 59.37/10.06  tff(f34657,plain,(
% 59.37/10.06    unique1627219031080169319umeral(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9708])).
% 59.37/10.06  tff(f9708,axiom,(
% 59.37/10.06    unique1627219031080169319umeral(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Divides_Ounique__euclidean__semiring__numeral_555)).
% 59.37/10.06  tff(f64727,plain,(
% 59.37/10.06    spl2737_101),
% 59.37/10.06    inference(avatar_split_clause,[],[f34656,f64724])).
% 59.37/10.06  tff(f64724,plain,(
% 59.37/10.06    spl2737_101 <=> wellorder(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_101])])).
% 59.37/10.06  tff(f34656,plain,(
% 59.37/10.06    wellorder(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9201])).
% 59.37/10.06  tff(f9201,axiom,(
% 59.37/10.06    wellorder(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Owellorder)).
% 59.37/10.06  tff(f64722,plain,(
% 59.37/10.06    spl2737_100),
% 59.37/10.06    inference(avatar_split_clause,[],[f34655,f64719])).
% 59.37/10.06  tff(f64719,plain,(
% 59.37/10.06    spl2737_100 <=> wellorder(extended_enat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_100])])).
% 59.37/10.06  tff(f34655,plain,(
% 59.37/10.06    wellorder(extended_enat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9650])).
% 59.37/10.06  tff(f9650,axiom,(
% 59.37/10.06    wellorder(extended_enat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Owellorder_497)).
% 59.37/10.06  tff(f64717,plain,(
% 59.37/10.06    spl2737_99),
% 59.37/10.06    inference(avatar_split_clause,[],[f34654,f64714])).
% 59.37/10.06  tff(f64714,plain,(
% 59.37/10.06    spl2737_99 <=> wellorder(product_unit)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_99])])).
% 59.37/10.06  tff(f34654,plain,(
% 59.37/10.06    wellorder(product_unit)),
% 59.37/10.06    inference(cnf_transformation,[],[f9691])).
% 59.37/10.06  tff(f9691,axiom,(
% 59.37/10.06    wellorder(product_unit)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Owellorder_538)).
% 59.37/10.06  tff(f64712,plain,(
% 59.37/10.06    spl2737_98),
% 59.37/10.06    inference(avatar_split_clause,[],[f34653,f64709])).
% 59.37/10.06  tff(f64709,plain,(
% 59.37/10.06    spl2737_98 <=> inverse(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_98])])).
% 59.37/10.06  tff(f34653,plain,(
% 59.37/10.06    inverse(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9495])).
% 59.37/10.06  tff(f9495,axiom,(
% 59.37/10.06    inverse(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Oinverse_343)).
% 59.37/10.06  tff(f64707,plain,(
% 59.37/10.06    spl2737_97),
% 59.37/10.06    inference(avatar_split_clause,[],[f34652,f64704])).
% 59.37/10.06  tff(f64704,plain,(
% 59.37/10.06    spl2737_97 <=> inverse(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_97])])).
% 59.37/10.06  tff(f34652,plain,(
% 59.37/10.06    inverse(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9317])).
% 59.37/10.06  tff(f9317,axiom,(
% 59.37/10.06    inverse(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Oinverse)).
% 59.37/10.06  tff(f64702,plain,(
% 59.37/10.06    spl2737_96),
% 59.37/10.06    inference(avatar_split_clause,[],[f34651,f64699])).
% 59.37/10.06  tff(f64699,plain,(
% 59.37/10.06    spl2737_96 <=> inverse(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_96])])).
% 59.37/10.06  tff(f34651,plain,(
% 59.37/10.06    inverse(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9602])).
% 59.37/10.06  tff(f9602,axiom,(
% 59.37/10.06    inverse(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Oinverse_450)).
% 59.37/10.06  tff(f64697,plain,(
% 59.37/10.06    spl2737_95),
% 59.37/10.06    inference(avatar_split_clause,[],[f34650,f64694])).
% 59.37/10.06  tff(f64694,plain,(
% 59.37/10.06    spl2737_95 <=> no_bot(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_95])])).
% 59.37/10.06  tff(f34650,plain,(
% 59.37/10.06    no_bot(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9104])).
% 59.37/10.06  tff(f9104,axiom,(
% 59.37/10.06    no_bot(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__bot)).
% 59.37/10.06  tff(f64692,plain,(
% 59.37/10.06    spl2737_94),
% 59.37/10.06    inference(avatar_split_clause,[],[f34649,f64689])).
% 59.37/10.06  tff(f64689,plain,(
% 59.37/10.06    spl2737_94 <=> no_bot(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_94])])).
% 59.37/10.06  tff(f34649,plain,(
% 59.37/10.06    no_bot(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9486])).
% 59.37/10.06  tff(f9486,axiom,(
% 59.37/10.06    no_bot(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__bot_334)).
% 59.37/10.06  tff(f64687,plain,(
% 59.37/10.06    spl2737_93),
% 59.37/10.06    inference(avatar_split_clause,[],[f34648,f64684])).
% 59.37/10.06  tff(f64684,plain,(
% 59.37/10.06    spl2737_93 <=> no_bot(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_93])])).
% 59.37/10.06  tff(f34648,plain,(
% 59.37/10.06    no_bot(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9308])).
% 59.37/10.06  tff(f9308,axiom,(
% 59.37/10.06    no_bot(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__bot_180)).
% 59.37/10.06  tff(f64682,plain,(
% 59.37/10.06    spl2737_92),
% 59.37/10.06    inference(avatar_split_clause,[],[f34647,f64679])).
% 59.37/10.06  tff(f64679,plain,(
% 59.37/10.06    spl2737_92 <=> field_abs_sgn(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_92])])).
% 59.37/10.06  tff(f34647,plain,(
% 59.37/10.06    field_abs_sgn(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9466])).
% 59.37/10.06  tff(f9466,axiom,(
% 59.37/10.06    field_abs_sgn(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__abs__sgn_315)).
% 59.37/10.06  tff(f64677,plain,(
% 59.37/10.06    spl2737_91),
% 59.37/10.06    inference(avatar_split_clause,[],[f34646,f64674])).
% 59.37/10.06  tff(f64674,plain,(
% 59.37/10.06    spl2737_91 <=> field_abs_sgn(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_91])])).
% 59.37/10.06  tff(f34646,plain,(
% 59.37/10.06    field_abs_sgn(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9289])).
% 59.37/10.06  tff(f9289,axiom,(
% 59.37/10.06    field_abs_sgn(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield__abs__sgn)).
% 59.37/10.06  tff(f64672,plain,(
% 59.37/10.06    spl2737_90),
% 59.37/10.06    inference(avatar_split_clause,[],[f34645,f64669])).
% 59.37/10.06  tff(f64669,plain,(
% 59.37/10.06    spl2737_90 <=> field_abs_sgn(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_90])])).
% 59.37/10.06  tff(f34645,plain,(
% 59.37/10.06    field_abs_sgn(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9582])).
% 59.37/10.06  tff(f9582,axiom,(
% 59.37/10.06    field_abs_sgn(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__abs__sgn_430)).
% 59.37/10.06  tff(f64667,plain,(
% 59.37/10.06    spl2737_89),
% 59.37/10.06    inference(avatar_split_clause,[],[f34644,f64664])).
% 59.37/10.06  tff(f34644,plain,(
% 59.37/10.06    real_V822414075346904944vector(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9397])).
% 59.37/10.06  tff(f9397,axiom,(
% 59.37/10.06    real_V822414075346904944vector(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__vector)).
% 59.37/10.06  tff(f64662,plain,(
% 59.37/10.06    spl2737_88),
% 59.37/10.06    inference(avatar_split_clause,[],[f34643,f64659])).
% 59.37/10.06  tff(f34643,plain,(
% 59.37/10.06    real_V822414075346904944vector(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9545])).
% 59.37/10.06  tff(f9545,axiom,(
% 59.37/10.06    real_V822414075346904944vector(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__vector_393)).
% 59.37/10.06  tff(f64657,plain,(
% 59.37/10.06    spl2737_87),
% 59.37/10.06    inference(avatar_split_clause,[],[f34642,f64654])).
% 59.37/10.06  tff(f64654,plain,(
% 59.37/10.06    spl2737_87 <=> real_V3459762299906320749_field(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_87])])).
% 59.37/10.06  tff(f34642,plain,(
% 59.37/10.06    real_V3459762299906320749_field(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9402])).
% 59.37/10.06  tff(f9402,axiom,(
% 59.37/10.06    real_V3459762299906320749_field(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__field)).
% 59.37/10.06  tff(f64652,plain,(
% 59.37/10.06    spl2737_86),
% 59.37/10.06    inference(avatar_split_clause,[],[f34641,f64649])).
% 59.37/10.06  tff(f64649,plain,(
% 59.37/10.06    spl2737_86 <=> real_V3459762299906320749_field(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_86])])).
% 59.37/10.06  tff(f34641,plain,(
% 59.37/10.06    real_V3459762299906320749_field(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9547])).
% 59.37/10.06  tff(f9547,axiom,(
% 59.37/10.06    real_V3459762299906320749_field(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__field_395)).
% 59.37/10.06  tff(f64647,plain,(
% 59.37/10.06    spl2737_85),
% 59.37/10.06    inference(avatar_split_clause,[],[f34640,f64644])).
% 59.37/10.06  tff(f34640,plain,(
% 59.37/10.06    linordered_field(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9453])).
% 59.37/10.06  tff(f9453,axiom,(
% 59.37/10.06    linordered_field(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Olinordered__field_302)).
% 59.37/10.06  tff(f64642,plain,(
% 59.37/10.06    spl2737_84),
% 59.37/10.06    inference(avatar_split_clause,[],[f34639,f64639])).
% 59.37/10.06  tff(f34639,plain,(
% 59.37/10.06    linordered_field(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9276])).
% 59.37/10.06  tff(f9276,axiom,(
% 59.37/10.06    linordered_field(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Olinordered__field)).
% 59.37/10.06  tff(f64637,plain,(
% 59.37/10.06    spl2737_83),
% 59.37/10.06    inference(avatar_split_clause,[],[f34638,f64634])).
% 59.37/10.06  tff(f64634,plain,(
% 59.37/10.06    spl2737_83 <=> real_Vector_banach(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_83])])).
% 59.37/10.06  tff(f34638,plain,(
% 59.37/10.06    real_Vector_banach(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9442])).
% 59.37/10.06  tff(f9442,axiom,(
% 59.37/10.06    real_Vector_banach(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Obanach)).
% 59.37/10.06  tff(f64632,plain,(
% 59.37/10.06    spl2737_82),
% 59.37/10.06    inference(avatar_split_clause,[],[f34637,f64629])).
% 59.37/10.06  tff(f64629,plain,(
% 59.37/10.06    spl2737_82 <=> real_Vector_banach(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_82])])).
% 59.37/10.06  tff(f34637,plain,(
% 59.37/10.06    real_Vector_banach(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9570])).
% 59.37/10.06  tff(f9570,axiom,(
% 59.37/10.06    real_Vector_banach(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Obanach_418)).
% 59.37/10.06  tff(f64627,plain,(
% 59.37/10.06    spl2737_81),
% 59.37/10.06    inference(avatar_split_clause,[],[f34636,f64624])).
% 59.37/10.06  tff(f64624,plain,(
% 59.37/10.06    spl2737_81 <=> archim2362893244070406136eiling(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_81])])).
% 59.37/10.06  tff(f34636,plain,(
% 59.37/10.06    archim2362893244070406136eiling(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9423])).
% 59.37/10.06  tff(f9423,axiom,(
% 59.37/10.06    archim2362893244070406136eiling(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Ofloor__ceiling_277)).
% 59.37/10.06  tff(f64622,plain,(
% 59.37/10.06    spl2737_80),
% 59.37/10.06    inference(avatar_split_clause,[],[f34635,f64619])).
% 59.37/10.06  tff(f64619,plain,(
% 59.37/10.06    spl2737_80 <=> archim2362893244070406136eiling(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_80])])).
% 59.37/10.06  tff(f34635,plain,(
% 59.37/10.06    archim2362893244070406136eiling(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9253])).
% 59.37/10.06  tff(f9253,axiom,(
% 59.37/10.06    archim2362893244070406136eiling(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Ofloor__ceiling)).
% 59.37/10.06  tff(f64617,plain,(
% 59.37/10.06    spl2737_79),
% 59.37/10.06    inference(avatar_split_clause,[],[f34634,f64614])).
% 59.37/10.06  tff(f34634,plain,(
% 59.37/10.06    semiring_gcd(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9213])).
% 59.37/10.06  tff(f9213,axiom,(
% 59.37/10.06    semiring_gcd(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd_95)).
% 59.37/10.06  tff(f64612,plain,(
% 59.37/10.06    spl2737_78),
% 59.37/10.06    inference(avatar_split_clause,[],[f34633,f64609])).
% 59.37/10.06  tff(f34633,plain,(
% 59.37/10.06    semiring_gcd(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9107])).
% 59.37/10.06  tff(f9107,axiom,(
% 59.37/10.06    semiring_gcd(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd)).
% 59.37/10.06  tff(f64607,plain,(
% 59.37/10.06    spl2737_77),
% 59.37/10.06    inference(avatar_split_clause,[],[f34632,f64604])).
% 59.37/10.06  tff(f34632,plain,(
% 59.37/10.06    real_V4867850818363320053vector(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9424])).
% 59.37/10.06  tff(f9424,axiom,(
% 59.37/10.06    real_V4867850818363320053vector(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__vector)).
% 59.37/10.06  tff(f64602,plain,(
% 59.37/10.06    spl2737_76),
% 59.37/10.06    inference(avatar_split_clause,[],[f34631,f64599])).
% 59.37/10.06  tff(f34631,plain,(
% 59.37/10.06    real_V4867850818363320053vector(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9559])).
% 59.37/10.06  tff(f9559,axiom,(
% 59.37/10.06    real_V4867850818363320053vector(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__vector_407)).
% 59.37/10.06  tff(f64597,plain,(
% 59.37/10.06    spl2737_75),
% 59.37/10.06    inference(avatar_split_clause,[],[f34630,f64594])).
% 59.37/10.06  tff(f64594,plain,(
% 59.37/10.06    spl2737_75 <=> bit_ri3973907225187159222ations(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_75])])).
% 59.37/10.06  tff(f34630,plain,(
% 59.37/10.06    bit_ri3973907225187159222ations(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9033])).
% 59.37/10.06  tff(f9033,axiom,(
% 59.37/10.06    bit_ri3973907225187159222ations(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Oring__bit__operations)).
% 59.37/10.06  tff(f64592,plain,(
% 59.37/10.06    spl2737_74),
% 59.37/10.06    inference(avatar_split_clause,[],[f34629,f64589])).
% 59.37/10.06  tff(f64589,plain,(
% 59.37/10.06    spl2737_74 <=> bit_ri3973907225187159222ations(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_74])])).
% 59.37/10.06  tff(f34629,plain,(
% 59.37/10.06    bit_ri3973907225187159222ations(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9721])).
% 59.37/10.06  tff(f9721,axiom,(
% 59.37/10.06    bit_ri3973907225187159222ations(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Oring__bit__operations_568)).
% 59.37/10.06  tff(f64587,plain,(
% 59.37/10.06    spl2737_73),
% 59.37/10.06    inference(avatar_split_clause,[],[f34628,f64584])).
% 59.37/10.06  tff(f64584,plain,(
% 59.37/10.06    spl2737_73 <=> real_V8999393235501362500lgebra(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_73])])).
% 59.37/10.06  tff(f34628,plain,(
% 59.37/10.06    real_V8999393235501362500lgebra(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9388])).
% 59.37/10.06  tff(f9388,axiom,(
% 59.37/10.06    real_V8999393235501362500lgebra(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__div__algebra)).
% 59.37/10.06  tff(f64582,plain,(
% 59.37/10.06    spl2737_72),
% 59.37/10.06    inference(avatar_split_clause,[],[f34627,f64579])).
% 59.37/10.06  tff(f64579,plain,(
% 59.37/10.06    spl2737_72 <=> real_V8999393235501362500lgebra(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_72])])).
% 59.37/10.06  tff(f34627,plain,(
% 59.37/10.06    real_V8999393235501362500lgebra(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9541])).
% 59.37/10.06  tff(f9541,axiom,(
% 59.37/10.06    real_V8999393235501362500lgebra(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__div__algebra_389)).
% 59.37/10.06  tff(f64577,plain,(
% 59.37/10.06    spl2737_71),
% 59.37/10.06    inference(avatar_split_clause,[],[f34626,f64574])).
% 59.37/10.06  tff(f64574,plain,(
% 59.37/10.06    spl2737_71 <=> real_V2822296259951069270ebra_1(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_71])])).
% 59.37/10.06  tff(f34626,plain,(
% 59.37/10.06    real_V2822296259951069270ebra_1(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9389])).
% 59.37/10.06  tff(f9389,axiom,(
% 59.37/10.06    real_V2822296259951069270ebra_1(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra__1)).
% 59.37/10.06  tff(f64572,plain,(
% 59.37/10.06    spl2737_70),
% 59.37/10.06    inference(avatar_split_clause,[],[f34625,f64569])).
% 59.37/10.06  tff(f64569,plain,(
% 59.37/10.06    spl2737_70 <=> real_V2822296259951069270ebra_1(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_70])])).
% 59.37/10.06  tff(f34625,plain,(
% 59.37/10.06    real_V2822296259951069270ebra_1(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9542])).
% 59.37/10.06  tff(f9542,axiom,(
% 59.37/10.06    real_V2822296259951069270ebra_1(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra__1_390)).
% 59.37/10.06  tff(f64567,plain,(
% 59.37/10.06    spl2737_69),
% 59.37/10.06    inference(avatar_split_clause,[],[f34624,f64564])).
% 59.37/10.06  tff(f64564,plain,(
% 59.37/10.06    spl2737_69 <=> semiring_Gcd(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_69])])).
% 59.37/10.06  tff(f34624,plain,(
% 59.37/10.06    semiring_Gcd(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9214])).
% 59.37/10.06  tff(f9214,axiom,(
% 59.37/10.06    semiring_Gcd(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__Gcd_96)).
% 59.37/10.06  tff(f64562,plain,(
% 59.37/10.06    spl2737_68),
% 59.37/10.06    inference(avatar_split_clause,[],[f34623,f64559])).
% 59.37/10.06  tff(f64559,plain,(
% 59.37/10.06    spl2737_68 <=> semiring_Gcd(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_68])])).
% 59.37/10.06  tff(f34623,plain,(
% 59.37/10.06    semiring_Gcd(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9108])).
% 59.37/10.06  tff(f9108,axiom,(
% 59.37/10.06    semiring_Gcd(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__Gcd)).
% 59.37/10.06  tff(f64557,plain,(
% 59.37/10.06    spl2737_67),
% 59.37/10.06    inference(avatar_split_clause,[],[f34622,f64554])).
% 59.37/10.06  tff(f64554,plain,(
% 59.37/10.06    spl2737_67 <=> normal8620421768224518004emidom(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_67])])).
% 59.37/10.06  tff(f34622,plain,(
% 59.37/10.06    normal8620421768224518004emidom(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9174])).
% 59.37/10.06  tff(f9174,axiom,(
% 59.37/10.06    normal8620421768224518004emidom(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Onormalization__semidom_58)).
% 59.37/10.06  tff(f64552,plain,(
% 59.37/10.06    spl2737_66),
% 59.37/10.06    inference(avatar_split_clause,[],[f34621,f64549])).
% 59.37/10.06  tff(f64549,plain,(
% 59.37/10.06    spl2737_66 <=> normal8620421768224518004emidom(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_66])])).
% 59.37/10.06  tff(f34621,plain,(
% 59.37/10.06    normal8620421768224518004emidom(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9057])).
% 59.37/10.06  tff(f9057,axiom,(
% 59.37/10.06    normal8620421768224518004emidom(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Onormalization__semidom)).
% 59.37/10.06  tff(f64547,plain,(
% 59.37/10.06    spl2737_65),
% 59.37/10.06    inference(avatar_split_clause,[],[f34620,f64544])).
% 59.37/10.06  tff(f64544,plain,(
% 59.37/10.06    spl2737_65 <=> dense_linorder(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_65])])).
% 59.37/10.06  tff(f34620,plain,(
% 59.37/10.06    dense_linorder(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9445])).
% 59.37/10.06  tff(f9445,axiom,(
% 59.37/10.06    dense_linorder(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__linorder_294)).
% 59.37/10.06  tff(f64542,plain,(
% 59.37/10.06    spl2737_64),
% 59.37/10.06    inference(avatar_split_clause,[],[f34619,f64539])).
% 59.37/10.06  tff(f64539,plain,(
% 59.37/10.06    spl2737_64 <=> dense_linorder(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_64])])).
% 59.37/10.06  tff(f34619,plain,(
% 59.37/10.06    dense_linorder(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9268])).
% 59.37/10.06  tff(f9268,axiom,(
% 59.37/10.06    dense_linorder(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__linorder)).
% 59.37/10.06  tff(f64537,plain,(
% 59.37/10.06    spl2737_63),
% 59.37/10.06    inference(avatar_split_clause,[],[f34618,f64534])).
% 59.37/10.06  tff(f64534,plain,(
% 59.37/10.06    spl2737_63 <=> topolo1633459387980952147up_add(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_63])])).
% 59.37/10.06  tff(f34618,plain,(
% 59.37/10.06    topolo1633459387980952147up_add(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9435])).
% 59.37/10.06  tff(f9435,axiom,(
% 59.37/10.06    topolo1633459387980952147up_add(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__group__add)).
% 59.37/10.06  tff(f64532,plain,(
% 59.37/10.06    spl2737_62),
% 59.37/10.06    inference(avatar_split_clause,[],[f34617,f64529])).
% 59.37/10.06  tff(f64529,plain,(
% 59.37/10.06    spl2737_62 <=> topolo1633459387980952147up_add(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_62])])).
% 59.37/10.06  tff(f34617,plain,(
% 59.37/10.06    topolo1633459387980952147up_add(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9567])).
% 59.37/10.06  tff(f9567,axiom,(
% 59.37/10.06    topolo1633459387980952147up_add(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__group__add_415)).
% 59.37/10.06  tff(f64527,plain,(
% 59.37/10.06    spl2737_61),
% 59.37/10.06    inference(avatar_split_clause,[],[f34616,f64524])).
% 59.37/10.06  tff(f64524,plain,(
% 59.37/10.06    spl2737_61 <=> real_V2191834092415804123ebra_1(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_61])])).
% 59.37/10.06  tff(f34616,plain,(
% 59.37/10.06    real_V2191834092415804123ebra_1(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9412])).
% 59.37/10.06  tff(f9412,axiom,(
% 59.37/10.06    real_V2191834092415804123ebra_1(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra__1)).
% 59.37/10.06  tff(f64522,plain,(
% 59.37/10.06    spl2737_60),
% 59.37/10.06    inference(avatar_split_clause,[],[f34615,f64519])).
% 59.37/10.06  tff(f64519,plain,(
% 59.37/10.06    spl2737_60 <=> real_V2191834092415804123ebra_1(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_60])])).
% 59.37/10.06  tff(f34615,plain,(
% 59.37/10.06    real_V2191834092415804123ebra_1(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9551])).
% 59.37/10.06  tff(f9551,axiom,(
% 59.37/10.06    real_V2191834092415804123ebra_1(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra__1_399)).
% 59.37/10.06  tff(f64517,plain,(
% 59.37/10.06    spl2737_59),
% 59.37/10.06    inference(avatar_split_clause,[],[f34614,f64514])).
% 59.37/10.06  tff(f64514,plain,(
% 59.37/10.06    spl2737_59 <=> real_V4412858255891104859lgebra(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_59])])).
% 59.37/10.06  tff(f34614,plain,(
% 59.37/10.06    real_V4412858255891104859lgebra(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9391])).
% 59.37/10.06  tff(f9391,axiom,(
% 59.37/10.06    real_V4412858255891104859lgebra(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra)).
% 59.37/10.06  tff(f64512,plain,(
% 59.37/10.06    spl2737_58),
% 59.37/10.06    inference(avatar_split_clause,[],[f34613,f64509])).
% 59.37/10.06  tff(f64509,plain,(
% 59.37/10.06    spl2737_58 <=> real_V4412858255891104859lgebra(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_58])])).
% 59.37/10.06  tff(f34613,plain,(
% 59.37/10.06    real_V4412858255891104859lgebra(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9544])).
% 59.37/10.06  tff(f9544,axiom,(
% 59.37/10.06    real_V4412858255891104859lgebra(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra_392)).
% 59.37/10.06  tff(f64507,plain,(
% 59.37/10.06    spl2737_57),
% 59.37/10.06    inference(avatar_split_clause,[],[f34612,f64504])).
% 59.37/10.06  tff(f64504,plain,(
% 59.37/10.06    spl2737_57 <=> euclid8851590272496341667cancel(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_57])])).
% 59.37/10.06  tff(f34612,plain,(
% 59.37/10.06    euclid8851590272496341667cancel(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9017])).
% 59.37/10.06  tff(f9017,axiom,(
% 59.37/10.06    euclid8851590272496341667cancel(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring__cancel)).
% 59.37/10.06  tff(f64502,plain,(
% 59.37/10.06    spl2737_56),
% 59.37/10.06    inference(avatar_split_clause,[],[f34611,f64499])).
% 59.37/10.06  tff(f64499,plain,(
% 59.37/10.06    spl2737_56 <=> euclid8851590272496341667cancel(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_56])])).
% 59.37/10.06  tff(f34611,plain,(
% 59.37/10.06    euclid8851590272496341667cancel(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9709])).
% 59.37/10.06  tff(f9709,axiom,(
% 59.37/10.06    euclid8851590272496341667cancel(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring__cancel_556)).
% 59.37/10.06  tff(f64497,plain,(
% 59.37/10.06    spl2737_55),
% 59.37/10.06    inference(avatar_split_clause,[],[f34610,f64494])).
% 59.37/10.06  tff(f64494,plain,(
% 59.37/10.06    spl2737_55 <=> canoni5634975068530333245id_add(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_55])])).
% 59.37/10.06  tff(f34610,plain,(
% 59.37/10.06    canoni5634975068530333245id_add(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9149])).
% 59.37/10.06  tff(f9149,axiom,(
% 59.37/10.06    canoni5634975068530333245id_add(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocanonically__ordered__monoid__add)).
% 59.37/10.06  tff(f64492,plain,(
% 59.37/10.06    spl2737_54),
% 59.37/10.06    inference(avatar_split_clause,[],[f34609,f64489])).
% 59.37/10.06  tff(f64489,plain,(
% 59.37/10.06    spl2737_54 <=> canoni5634975068530333245id_add(extended_enat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_54])])).
% 59.37/10.06  tff(f34609,plain,(
% 59.37/10.06    canoni5634975068530333245id_add(extended_enat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9622])).
% 59.37/10.06  tff(f9622,axiom,(
% 59.37/10.06    canoni5634975068530333245id_add(extended_enat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocanonically__ordered__monoid__add_470)).
% 59.37/10.06  tff(f64487,plain,(
% 59.37/10.06    spl2737_53),
% 59.37/10.06    inference(avatar_split_clause,[],[f34608,f64484])).
% 59.37/10.06  tff(f64484,plain,(
% 59.37/10.06    spl2737_53 <=> comple5582772986160207858norder(extended_enat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_53])])).
% 59.37/10.06  tff(f34608,plain,(
% 59.37/10.06    comple5582772986160207858norder(extended_enat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9625])).
% 59.37/10.06  tff(f9625,axiom,(
% 59.37/10.06    comple5582772986160207858norder(extended_enat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__linorder)).
% 59.37/10.06  tff(f64482,plain,(
% 59.37/10.06    spl2737_52),
% 59.37/10.06    inference(avatar_split_clause,[],[f34607,f64479])).
% 59.37/10.06  tff(f64479,plain,(
% 59.37/10.06    spl2737_52 <=> comple5582772986160207858norder(product_unit)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_52])])).
% 59.37/10.06  tff(f34607,plain,(
% 59.37/10.06    comple5582772986160207858norder(product_unit)),
% 59.37/10.06    inference(cnf_transformation,[],[f9683])).
% 59.37/10.06  tff(f9683,axiom,(
% 59.37/10.06    comple5582772986160207858norder(product_unit)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__linorder_530)).
% 59.37/10.06  tff(f64477,plain,(
% 59.37/10.06    spl2737_51),
% 59.37/10.06    inference(avatar_split_clause,[],[f34606,f64474])).
% 59.37/10.06  tff(f64474,plain,(
% 59.37/10.06    spl2737_51 <=> semiri6843258321239162965malize(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_51])])).
% 59.37/10.06  tff(f34606,plain,(
% 59.37/10.06    semiri6843258321239162965malize(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9164])).
% 59.37/10.06  tff(f9164,axiom,(
% 59.37/10.06    semiri6843258321239162965malize(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd__mult__normalize_48)).
% 59.37/10.06  tff(f64472,plain,(
% 59.37/10.06    spl2737_50),
% 59.37/10.06    inference(avatar_split_clause,[],[f34605,f64469])).
% 59.37/10.06  tff(f64469,plain,(
% 59.37/10.06    spl2737_50 <=> semiri6843258321239162965malize(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_50])])).
% 59.37/10.06  tff(f34605,plain,(
% 59.37/10.06    semiri6843258321239162965malize(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9044])).
% 59.37/10.06  tff(f9044,axiom,(
% 59.37/10.06    semiri6843258321239162965malize(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd__mult__normalize)).
% 59.37/10.06  tff(f64467,plain,(
% 59.37/10.06    spl2737_49),
% 59.37/10.06    inference(avatar_split_clause,[],[f34604,f64464])).
% 59.37/10.06  tff(f64464,plain,(
% 59.37/10.06    spl2737_49 <=> archim462609752435547400_field(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_49])])).
% 59.37/10.06  tff(f34604,plain,(
% 59.37/10.06    archim462609752435547400_field(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9404])).
% 59.37/10.06  tff(f9404,axiom,(
% 59.37/10.06    archim462609752435547400_field(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Oarchimedean__field_264)).
% 59.37/10.06  tff(f64462,plain,(
% 59.37/10.06    spl2737_48),
% 59.37/10.06    inference(avatar_split_clause,[],[f34603,f64459])).
% 59.37/10.06  tff(f64459,plain,(
% 59.37/10.06    spl2737_48 <=> archim462609752435547400_field(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_48])])).
% 59.37/10.06  tff(f34603,plain,(
% 59.37/10.06    archim462609752435547400_field(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9243])).
% 59.37/10.06  tff(f9243,axiom,(
% 59.37/10.06    archim462609752435547400_field(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Oarchimedean__field)).
% 59.37/10.06  tff(f64457,plain,(
% 59.37/10.06    spl2737_47),
% 59.37/10.06    inference(avatar_split_clause,[],[f34602,f64454])).
% 59.37/10.06  tff(f64454,plain,(
% 59.37/10.06    spl2737_47 <=> topolo1287966508704411220up_add(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_47])])).
% 59.37/10.06  tff(f34602,plain,(
% 59.37/10.06    topolo1287966508704411220up_add(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9420])).
% 59.37/10.06  tff(f9420,axiom,(
% 59.37/10.06    topolo1287966508704411220up_add(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__ab__group__add)).
% 59.37/10.06  tff(f64452,plain,(
% 59.37/10.06    spl2737_46),
% 59.37/10.06    inference(avatar_split_clause,[],[f34601,f64449])).
% 59.37/10.06  tff(f64449,plain,(
% 59.37/10.06    spl2737_46 <=> topolo3112930676232923870pology(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_46])])).
% 59.37/10.06  tff(f34601,plain,(
% 59.37/10.06    topolo3112930676232923870pology(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9387])).
% 59.37/10.06  tff(f9387,axiom,(
% 59.37/10.06    topolo3112930676232923870pology(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ofirst__countable__topology)).
% 59.37/10.06  tff(f64447,plain,(
% 59.37/10.06    spl2737_45),
% 59.37/10.06    inference(avatar_split_clause,[],[f34600,f64444])).
% 59.37/10.06  tff(f64444,plain,(
% 59.37/10.06    spl2737_45 <=> topolo1287966508704411220up_add(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_45])])).
% 59.37/10.06  tff(f34600,plain,(
% 59.37/10.06    topolo1287966508704411220up_add(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9558])).
% 59.37/10.06  tff(f9558,axiom,(
% 59.37/10.06    topolo1287966508704411220up_add(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__ab__group__add_406)).
% 59.37/10.06  tff(f64442,plain,(
% 59.37/10.06    spl2737_44),
% 59.37/10.06    inference(avatar_split_clause,[],[f34599,f64439])).
% 59.37/10.06  tff(f64439,plain,(
% 59.37/10.06    spl2737_44 <=> topolo3112930676232923870pology(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_44])])).
% 59.37/10.06  tff(f34599,plain,(
% 59.37/10.06    topolo3112930676232923870pology(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9540])).
% 59.37/10.06  tff(f9540,axiom,(
% 59.37/10.06    topolo3112930676232923870pology(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ofirst__countable__topology_388)).
% 59.37/10.06  tff(f64437,plain,(
% 59.37/10.06    spl2737_43),
% 59.37/10.06    inference(avatar_split_clause,[],[f34598,f64434])).
% 59.37/10.06  tff(f64434,plain,(
% 59.37/10.06    spl2737_43 <=> unboun7993243217541854897norder(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_43])])).
% 59.37/10.06  tff(f34598,plain,(
% 59.37/10.06    unboun7993243217541854897norder(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9406])).
% 59.37/10.06  tff(f9406,axiom,(
% 59.37/10.06    unboun7993243217541854897norder(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ounbounded__dense__linorder_266)).
% 59.37/10.06  tff(f64432,plain,(
% 59.37/10.06    spl2737_42),
% 59.37/10.06    inference(avatar_split_clause,[],[f34597,f64429])).
% 59.37/10.06  tff(f64429,plain,(
% 59.37/10.06    spl2737_42 <=> unboun7993243217541854897norder(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_42])])).
% 59.37/10.06  tff(f34597,plain,(
% 59.37/10.06    unboun7993243217541854897norder(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9245])).
% 59.37/10.06  tff(f9245,axiom,(
% 59.37/10.06    unboun7993243217541854897norder(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ounbounded__dense__linorder)).
% 59.37/10.06  tff(f64427,plain,(
% 59.37/10.06    spl2737_41),
% 59.37/10.06    inference(avatar_split_clause,[],[f34596,f64424])).
% 59.37/10.06  tff(f34596,plain,(
% 59.37/10.06    real_V7819770556892013058_space(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9419])).
% 59.37/10.06  tff(f9419,axiom,(
% 59.37/10.06    real_V7819770556892013058_space(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ometric__space)).
% 59.37/10.06  tff(f64422,plain,(
% 59.37/10.06    spl2737_40),
% 59.37/10.06    inference(avatar_split_clause,[],[f34595,f64419])).
% 59.37/10.06  tff(f64419,plain,(
% 59.37/10.06    spl2737_40 <=> real_V5047593784448816457lgebra(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_40])])).
% 59.37/10.06  tff(f34595,plain,(
% 59.37/10.06    real_V5047593784448816457lgebra(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9403])).
% 59.37/10.06  tff(f9403,axiom,(
% 59.37/10.06    real_V5047593784448816457lgebra(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__div__algebra)).
% 59.37/10.06  tff(f64417,plain,(
% 59.37/10.06    spl2737_39),
% 59.37/10.06    inference(avatar_split_clause,[],[f34594,f64414])).
% 59.37/10.06  tff(f34594,plain,(
% 59.37/10.06    real_V7819770556892013058_space(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9557])).
% 59.37/10.06  tff(f9557,axiom,(
% 59.37/10.06    real_V7819770556892013058_space(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ometric__space_405)).
% 59.37/10.06  tff(f64412,plain,(
% 59.37/10.06    spl2737_38),
% 59.37/10.06    inference(avatar_split_clause,[],[f34593,f64409])).
% 59.37/10.06  tff(f64409,plain,(
% 59.37/10.06    spl2737_38 <=> real_V5047593784448816457lgebra(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_38])])).
% 59.37/10.06  tff(f34593,plain,(
% 59.37/10.06    real_V5047593784448816457lgebra(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9548])).
% 59.37/10.06  tff(f9548,axiom,(
% 59.37/10.06    real_V5047593784448816457lgebra(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__div__algebra_396)).
% 59.37/10.06  tff(f64407,plain,(
% 59.37/10.06    spl2737_37),
% 59.37/10.06    inference(avatar_split_clause,[],[f34592,f64404])).
% 59.37/10.06  tff(f64404,plain,(
% 59.37/10.06    spl2737_37 <=> semido2269285787275462019factor(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_37])])).
% 59.37/10.06  tff(f34592,plain,(
% 59.37/10.06    semido2269285787275462019factor(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9160])).
% 59.37/10.06  tff(f9160,axiom,(
% 59.37/10.06    semido2269285787275462019factor(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__divide__unit__factor_44)).
% 59.37/10.06  tff(f64402,plain,(
% 59.37/10.06    spl2737_36),
% 59.37/10.06    inference(avatar_split_clause,[],[f34591,f64399])).
% 59.37/10.06  tff(f64399,plain,(
% 59.37/10.06    spl2737_36 <=> semido2269285787275462019factor(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_36])])).
% 59.37/10.06  tff(f34591,plain,(
% 59.37/10.06    semido2269285787275462019factor(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9039])).
% 59.37/10.06  tff(f9039,axiom,(
% 59.37/10.06    semido2269285787275462019factor(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__divide__unit__factor)).
% 59.37/10.06  tff(f64397,plain,(
% 59.37/10.06    spl2737_35),
% 59.37/10.06    inference(avatar_split_clause,[],[f34590,f64394])).
% 59.37/10.06  tff(f64394,plain,(
% 59.37/10.06    spl2737_35 <=> normal6328177297339901930cative(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_35])])).
% 59.37/10.06  tff(f34590,plain,(
% 59.37/10.06    normal6328177297339901930cative(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9138])).
% 59.37/10.06  tff(f9138,axiom,(
% 59.37/10.06    normal6328177297339901930cative(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Onormalization__semidom__multiplicative_24)).
% 59.37/10.06  tff(f64392,plain,(
% 59.37/10.06    spl2737_34),
% 59.37/10.06    inference(avatar_split_clause,[],[f34589,f64389])).
% 59.37/10.06  tff(f64389,plain,(
% 59.37/10.06    spl2737_34 <=> normal6328177297339901930cative(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_34])])).
% 59.37/10.06  tff(f34589,plain,(
% 59.37/10.06    normal6328177297339901930cative(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9015])).
% 59.37/10.06  tff(f9015,axiom,(
% 59.37/10.06    normal6328177297339901930cative(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Onormalization__semidom__multiplicative)).
% 59.37/10.06  tff(f64387,plain,(
% 59.37/10.06    spl2737_33),
% 59.37/10.06    inference(avatar_split_clause,[],[f34588,f64384])).
% 59.37/10.06  tff(f64384,plain,(
% 59.37/10.06    spl2737_33 <=> topolo4987421752381908075d_mult(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_33])])).
% 59.37/10.06  tff(f34588,plain,(
% 59.37/10.06    topolo4987421752381908075d_mult(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9153])).
% 59.37/10.06  tff(f9153,axiom,(
% 59.37/10.06    topolo4987421752381908075d_mult(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__mult_37)).
% 59.37/10.06  tff(f64382,plain,(
% 59.37/10.06    spl2737_32),
% 59.37/10.06    inference(avatar_split_clause,[],[f34587,f64379])).
% 59.37/10.06  tff(f64379,plain,(
% 59.37/10.06    spl2737_32 <=> topolo4987421752381908075d_mult(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_32])])).
% 59.37/10.06  tff(f34587,plain,(
% 59.37/10.06    topolo4987421752381908075d_mult(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9029])).
% 59.37/10.06  tff(f9029,axiom,(
% 59.37/10.06    topolo4987421752381908075d_mult(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__mult)).
% 59.37/10.06  tff(f64377,plain,(
% 59.37/10.06    spl2737_31),
% 59.37/10.06    inference(avatar_split_clause,[],[f34586,f64374])).
% 59.37/10.06  tff(f64374,plain,(
% 59.37/10.06    spl2737_31 <=> real_V7773925162809079976_field(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_31])])).
% 59.37/10.06  tff(f34586,plain,(
% 59.37/10.06    real_V7773925162809079976_field(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9429])).
% 59.37/10.06  tff(f9429,axiom,(
% 59.37/10.06    real_V7773925162809079976_field(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__field)).
% 59.37/10.06  tff(f64372,plain,(
% 59.37/10.06    spl2737_30),
% 59.37/10.06    inference(avatar_split_clause,[],[f34585,f64369])).
% 59.37/10.06  tff(f64369,plain,(
% 59.37/10.06    spl2737_30 <=> real_V7773925162809079976_field(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_30])])).
% 59.37/10.06  tff(f34585,plain,(
% 59.37/10.06    real_V7773925162809079976_field(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9562])).
% 59.37/10.06  tff(f9562,axiom,(
% 59.37/10.06    real_V7773925162809079976_field(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__field_410)).
% 59.37/10.06  tff(f64367,plain,(
% 59.37/10.06    spl2737_29),
% 59.37/10.06    inference(avatar_split_clause,[],[f34584,f64364])).
% 59.37/10.06  tff(f64364,plain,(
% 59.37/10.06    spl2737_29 <=> topolo1898628316856586783d_mult(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_29])])).
% 59.37/10.06  tff(f34584,plain,(
% 59.37/10.06    topolo1898628316856586783d_mult(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9165])).
% 59.37/10.06  tff(f9165,axiom,(
% 59.37/10.06    topolo1898628316856586783d_mult(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__mult_49)).
% 59.37/10.06  tff(f64362,plain,(
% 59.37/10.06    spl2737_28),
% 59.37/10.06    inference(avatar_split_clause,[],[f34583,f64359])).
% 59.37/10.06  tff(f64359,plain,(
% 59.37/10.06    spl2737_28 <=> comm_monoid_diff(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_28])])).
% 59.37/10.06  tff(f34583,plain,(
% 59.37/10.06    comm_monoid_diff(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9186])).
% 59.37/10.06  tff(f9186,axiom,(
% 59.37/10.06    comm_monoid_diff(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__diff)).
% 59.37/10.06  tff(f64357,plain,(
% 59.37/10.06    spl2737_27),
% 59.37/10.06    inference(avatar_split_clause,[],[f34582,f64354])).
% 59.37/10.06  tff(f64354,plain,(
% 59.37/10.06    spl2737_27 <=> ring_parity(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_27])])).
% 59.37/10.06  tff(f34582,plain,(
% 59.37/10.06    ring_parity(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9093])).
% 59.37/10.06  tff(f9093,axiom,(
% 59.37/10.06    ring_parity(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Oring__parity)).
% 59.37/10.06  tff(f64352,plain,(
% 59.37/10.06    spl2737_26),
% 59.37/10.06    inference(avatar_split_clause,[],[f34581,f64349])).
% 59.37/10.06  tff(f64349,plain,(
% 59.37/10.06    spl2737_26 <=> euclid8789492081693882211th_nat(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_26])])).
% 59.37/10.06  tff(f34581,plain,(
% 59.37/10.06    euclid8789492081693882211th_nat(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9011])).
% 59.37/10.06  tff(f9011,axiom,(
% 59.37/10.06    euclid8789492081693882211th_nat(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__ring__with__nat)).
% 59.37/10.06  tff(f64347,plain,(
% 59.37/10.06    spl2737_25),
% 59.37/10.06    inference(avatar_split_clause,[],[f34580,f64344])).
% 59.37/10.06  tff(f64344,plain,(
% 59.37/10.06    spl2737_25 <=> topolo1898628316856586783d_mult(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_25])])).
% 59.37/10.06  tff(f34580,plain,(
% 59.37/10.06    topolo1898628316856586783d_mult(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9045])).
% 59.37/10.06  tff(f9045,axiom,(
% 59.37/10.06    topolo1898628316856586783d_mult(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__mult)).
% 59.37/10.06  tff(f64342,plain,(
% 59.37/10.06    spl2737_24),
% 59.37/10.06    inference(avatar_split_clause,[],[f34579,f64339])).
% 59.37/10.06  tff(f64339,plain,(
% 59.37/10.06    spl2737_24 <=> real_V8037385150606011577_space(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_24])])).
% 59.37/10.06  tff(f34579,plain,(
% 59.37/10.06    real_V8037385150606011577_space(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9413])).
% 59.37/10.06  tff(f9413,axiom,(
% 59.37/10.06    real_V8037385150606011577_space(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ocomplete__space)).
% 59.37/10.06  tff(f64337,plain,(
% 59.37/10.06    spl2737_23),
% 59.37/10.06    inference(avatar_split_clause,[],[f34578,f64334])).
% 59.37/10.06  tff(f64334,plain,(
% 59.37/10.06    spl2737_23 <=> topolo8386298272705272623_space(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_23])])).
% 59.37/10.06  tff(f34578,plain,(
% 59.37/10.06    topolo8386298272705272623_space(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9415])).
% 59.37/10.06  tff(f9415,axiom,(
% 59.37/10.06    topolo8386298272705272623_space(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Operfect__space)).
% 59.37/10.06  tff(f64332,plain,(
% 59.37/10.06    spl2737_22),
% 59.37/10.06    inference(avatar_split_clause,[],[f34577,f64329])).
% 59.37/10.06  tff(f64329,plain,(
% 59.37/10.06    spl2737_22 <=> euclid8789492081693882211th_nat(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_22])])).
% 59.37/10.06  tff(f34577,plain,(
% 59.37/10.06    euclid8789492081693882211th_nat(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9704])).
% 59.37/10.06  tff(f9704,axiom,(
% 59.37/10.06    euclid8789492081693882211th_nat(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__ring__with__nat_551)).
% 59.37/10.06  tff(f64327,plain,(
% 59.37/10.06    spl2737_21),
% 59.37/10.06    inference(avatar_split_clause,[],[f34576,f64324])).
% 59.37/10.06  tff(f64324,plain,(
% 59.37/10.06    spl2737_21 <=> ring_parity(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_21])])).
% 59.37/10.06  tff(f34576,plain,(
% 59.37/10.06    ring_parity(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9770])).
% 59.37/10.06  tff(f9770,axiom,(
% 59.37/10.06    ring_parity(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Oring__parity_617)).
% 59.37/10.06  tff(f64322,plain,(
% 59.37/10.06    spl2737_20),
% 59.37/10.06    inference(avatar_split_clause,[],[f34575,f64319])).
% 59.37/10.06  tff(f64319,plain,(
% 59.37/10.06    spl2737_20 <=> comm_monoid_diff(code_natural)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_20])])).
% 59.37/10.06  tff(f34575,plain,(
% 59.37/10.06    comm_monoid_diff(code_natural)),
% 59.37/10.06    inference(cnf_transformation,[],[f9835])).
% 59.37/10.06  tff(f9835,axiom,(
% 59.37/10.06    comm_monoid_diff(code_natural)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Onatural___Groups_Ocomm__monoid__diff_682)).
% 59.37/10.06  tff(f64317,plain,(
% 59.37/10.06    spl2737_19),
% 59.37/10.06    inference(avatar_split_clause,[],[f34574,f64314])).
% 59.37/10.06  tff(f64314,plain,(
% 59.37/10.06    spl2737_19 <=> real_V8037385150606011577_space(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_19])])).
% 59.37/10.06  tff(f34574,plain,(
% 59.37/10.06    real_V8037385150606011577_space(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9552])).
% 59.37/10.06  tff(f9552,axiom,(
% 59.37/10.06    real_V8037385150606011577_space(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ocomplete__space_400)).
% 59.37/10.06  tff(f64312,plain,(
% 59.37/10.06    spl2737_18),
% 59.37/10.06    inference(avatar_split_clause,[],[f34573,f64309])).
% 59.37/10.06  tff(f64309,plain,(
% 59.37/10.06    spl2737_18 <=> topolo8386298272705272623_space(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_18])])).
% 59.37/10.06  tff(f34573,plain,(
% 59.37/10.06    topolo8386298272705272623_space(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9554])).
% 59.37/10.06  tff(f9554,axiom,(
% 59.37/10.06    topolo8386298272705272623_space(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Operfect__space_402)).
% 59.37/10.06  tff(f64307,plain,(
% 59.37/10.06    spl2737_17),
% 59.37/10.06    inference(avatar_split_clause,[],[f34572,f64304])).
% 59.37/10.06  tff(f64304,plain,(
% 59.37/10.06    spl2737_17 <=> euclid5891614535332579305n_ring(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_17])])).
% 59.37/10.06  tff(f34572,plain,(
% 59.37/10.06    euclid5891614535332579305n_ring(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9038])).
% 59.37/10.06  tff(f9038,axiom,(
% 59.37/10.06    euclid5891614535332579305n_ring(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring)).
% 59.37/10.06  tff(f64302,plain,(
% 59.37/10.06    spl2737_16),
% 59.37/10.06    inference(avatar_split_clause,[],[f34571,f64299])).
% 59.37/10.06  tff(f64299,plain,(
% 59.37/10.06    spl2737_16 <=> idom_modulo(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_16])])).
% 59.37/10.06  tff(f34571,plain,(
% 59.37/10.06    idom_modulo(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9097])).
% 59.37/10.06  tff(f9097,axiom,(
% 59.37/10.06    idom_modulo(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom__modulo)).
% 59.37/10.06  tff(f64297,plain,(
% 59.37/10.06    spl2737_15),
% 59.37/10.06    inference(avatar_split_clause,[],[f34570,f64294])).
% 59.37/10.06  tff(f64294,plain,(
% 59.37/10.06    spl2737_15 <=> real_V6936659425649961206t_norm(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_15])])).
% 59.37/10.06  tff(f34570,plain,(
% 59.37/10.06    real_V6936659425649961206t_norm(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9434])).
% 59.37/10.06  tff(f9434,axiom,(
% 59.37/10.06    real_V6936659425649961206t_norm(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Odist__norm)).
% 59.37/10.06  tff(f64292,plain,(
% 59.37/10.06    spl2737_14),
% 59.37/10.06    inference(avatar_split_clause,[],[f34569,f64289])).
% 59.37/10.06  tff(f64289,plain,(
% 59.37/10.06    spl2737_14 <=> real_V6567297691418259687v_norm(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_14])])).
% 59.37/10.06  tff(f34569,plain,(
% 59.37/10.06    real_V6567297691418259687v_norm(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9418])).
% 59.37/10.06  tff(f9418,axiom,(
% 59.37/10.06    real_V6567297691418259687v_norm(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Osgn__div__norm)).
% 59.37/10.06  tff(f64287,plain,(
% 59.37/10.06    spl2737_13),
% 59.37/10.06    inference(avatar_split_clause,[],[f34568,f64284])).
% 59.37/10.06  tff(f64284,plain,(
% 59.37/10.06    spl2737_13 <=> dense_order(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_13])])).
% 59.37/10.06  tff(f34568,plain,(
% 59.37/10.06    dense_order(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9461])).
% 59.37/10.06  tff(f9461,axiom,(
% 59.37/10.06    dense_order(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__order_310)).
% 59.37/10.06  tff(f64282,plain,(
% 59.37/10.06    spl2737_12),
% 59.37/10.06    inference(avatar_split_clause,[],[f34567,f64279])).
% 59.37/10.06  tff(f64279,plain,(
% 59.37/10.06    spl2737_12 <=> dense_order(rat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_12])])).
% 59.37/10.06  tff(f34567,plain,(
% 59.37/10.06    dense_order(rat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9284])).
% 59.37/10.06  tff(f9284,axiom,(
% 59.37/10.06    dense_order(rat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__order)).
% 59.37/10.06  tff(f64277,plain,(
% 59.37/10.06    spl2737_11),
% 59.37/10.06    inference(avatar_split_clause,[],[f34566,f64274])).
% 59.37/10.06  tff(f64274,plain,(
% 59.37/10.06    spl2737_11 <=> euclid5891614535332579305n_ring(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_11])])).
% 59.37/10.06  tff(f34566,plain,(
% 59.37/10.06    euclid5891614535332579305n_ring(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9724])).
% 59.37/10.06  tff(f9724,axiom,(
% 59.37/10.06    euclid5891614535332579305n_ring(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring_571)).
% 59.37/10.06  tff(f64272,plain,(
% 59.37/10.06    spl2737_10),
% 59.37/10.06    inference(avatar_split_clause,[],[f34565,f64269])).
% 59.37/10.06  tff(f64269,plain,(
% 59.37/10.06    spl2737_10 <=> idom_modulo(code_integer)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_10])])).
% 59.37/10.06  tff(f34565,plain,(
% 59.37/10.06    idom_modulo(code_integer)),
% 59.37/10.06    inference(cnf_transformation,[],[f9774])).
% 59.37/10.06  tff(f9774,axiom,(
% 59.37/10.06    idom_modulo(code_integer)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom__modulo_621)).
% 59.37/10.06  tff(f64267,plain,(
% 59.37/10.06    spl2737_9),
% 59.37/10.06    inference(avatar_split_clause,[],[f34564,f64264])).
% 59.37/10.06  tff(f64264,plain,(
% 59.37/10.06    spl2737_9 <=> real_V6936659425649961206t_norm(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_9])])).
% 59.37/10.06  tff(f34564,plain,(
% 59.37/10.06    real_V6936659425649961206t_norm(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9566])).
% 59.37/10.06  tff(f9566,axiom,(
% 59.37/10.06    real_V6936659425649961206t_norm(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Odist__norm_414)).
% 59.37/10.06  tff(f64262,plain,(
% 59.37/10.06    spl2737_8),
% 59.37/10.06    inference(avatar_split_clause,[],[f34563,f64259])).
% 59.37/10.06  tff(f64259,plain,(
% 59.37/10.06    spl2737_8 <=> real_V6567297691418259687v_norm(complex)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_8])])).
% 59.37/10.06  tff(f34563,plain,(
% 59.37/10.06    real_V6567297691418259687v_norm(complex)),
% 59.37/10.06    inference(cnf_transformation,[],[f9556])).
% 59.37/10.06  tff(f9556,axiom,(
% 59.37/10.06    real_V6567297691418259687v_norm(complex)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Osgn__div__norm_404)).
% 59.37/10.06  tff(f64257,plain,(
% 59.37/10.06    spl2737_7),
% 59.37/10.06    inference(avatar_split_clause,[],[f34562,f64254])).
% 59.37/10.06  tff(f34562,plain,(
% 59.37/10.06    real_V5355595471888546746vector(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9392])).
% 59.37/10.06  tff(f9392,axiom,(
% 59.37/10.06    real_V5355595471888546746vector(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oordered__real__vector)).
% 59.37/10.06  tff(f64252,plain,(
% 59.37/10.06    spl2737_6),
% 59.37/10.06    inference(avatar_split_clause,[],[f34561,f64249])).
% 59.37/10.06  tff(f64249,plain,(
% 59.37/10.06    spl2737_6 <=> ln(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_6])])).
% 59.37/10.06  tff(f34561,plain,(
% 59.37/10.06    ln(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9479])).
% 59.37/10.06  tff(f9479,axiom,(
% 59.37/10.06    ln(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Transcendental_Oln)).
% 59.37/10.06  tff(f64247,plain,(
% 59.37/10.06    spl2737_5),
% 59.37/10.06    inference(avatar_split_clause,[],[f34560,f64244])).
% 59.37/10.06  tff(f64244,plain,(
% 59.37/10.06    spl2737_5 <=> ring_gcd(int)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_5])])).
% 59.37/10.06  tff(f34560,plain,(
% 59.37/10.06    ring_gcd(int)),
% 59.37/10.06    inference(cnf_transformation,[],[f9121])).
% 59.37/10.06  tff(f9121,axiom,(
% 59.37/10.06    ring_gcd(int)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Oring__gcd)).
% 59.37/10.06  tff(f64242,plain,(
% 59.37/10.06    spl2737_4),
% 59.37/10.06    inference(avatar_split_clause,[],[f34559,f64239])).
% 59.37/10.06  tff(f64239,plain,(
% 59.37/10.06    spl2737_4 <=> ordere1170586879665033532d_diff(nat)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_4])])).
% 59.37/10.06  tff(f34559,plain,(
% 59.37/10.06    ordere1170586879665033532d_diff(nat)),
% 59.37/10.06    inference(cnf_transformation,[],[f9142])).
% 59.37/10.06  tff(f9142,axiom,(
% 59.37/10.06    ordere1170586879665033532d_diff(nat)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__diff)).
% 59.37/10.06  tff(f64237,plain,(
% 59.37/10.06    spl2737_3),
% 59.37/10.06    inference(avatar_split_clause,[],[f34558,f64234])).
% 59.37/10.06  tff(f64234,plain,(
% 59.37/10.06    spl2737_3 <=> topolo8458572112393995274pology(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_3])])).
% 59.37/10.06  tff(f34558,plain,(
% 59.37/10.06    topolo8458572112393995274pology(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9386])).
% 59.37/10.06  tff(f9386,axiom,(
% 59.37/10.06    topolo8458572112393995274pology(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinear__continuum__topology)).
% 59.37/10.06  tff(f64232,plain,(
% 59.37/10.06    spl2737_2),
% 59.37/10.06    inference(avatar_split_clause,[],[f34557,f64229])).
% 59.37/10.06  tff(f64229,plain,(
% 59.37/10.06    spl2737_2 <=> condit5016429287641298734tinuum(real)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_2])])).
% 59.37/10.06  tff(f34557,plain,(
% 59.37/10.06    condit5016429287641298734tinuum(real)),
% 59.37/10.06    inference(cnf_transformation,[],[f9384])).
% 59.37/10.06  tff(f9384,axiom,(
% 59.37/10.06    condit5016429287641298734tinuum(real)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Olinear__continuum)).
% 59.37/10.06  tff(f64227,plain,(
% 59.37/10.06    ~spl2737_1),
% 59.37/10.06    inference(avatar_split_clause,[],[f34556,f64224])).
% 59.37/10.06  tff(f64224,plain,(
% 59.37/10.06    spl2737_1 <=> pp(fFalse)),
% 59.37/10.06    introduced(avatar_definition,[new_symbols(naming,[spl2737_1])])).
% 59.37/10.06  tff(f34556,plain,(
% 59.37/10.06    ~pp(fFalse)),
% 59.37/10.06    inference(cnf_transformation,[],[f9889])).
% 59.37/10.06  tff(f9889,axiom,(
% 59.37/10.06    ~pp(fFalse)),
% 59.37/10.06    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U)).
% 59.37/10.06  % SZS output end Proof for theBenchmark
% 59.37/10.06  % (11529)------------------------------
% 59.37/10.06  % (11529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 59.37/10.06  % (11529)Termination reason: Refutation
% 59.37/10.06  
% 59.37/10.06  % (11529)Memory used [KB]: 65931
% 59.37/10.06  % (11529)Time elapsed: 8.246 s
% 59.37/10.06  % (11529)Instructions burned: 16226 (million)
% 59.37/10.06  % (11522)Success in time 9.723 s
%------------------------------------------------------------------------------