TSTP Solution File: ITP278_2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP278_2 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Mon May 20 23:08:22 EDT 2024
% Result : Theorem 26.16s 4.97s
% Output : Refutation 26.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP278_2 : TPTP v8.2.0. Released v8.0.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n017.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 15:49:08 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.37 % (17947)Running in auto input_syntax mode. Trying TPTP
% 1.20/1.42 % (18353)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)
% 1.20/1.43 % (18349)WARNING: value z3 for option sas not known
% 1.20/1.43 % (18348)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 1.20/1.43 % (18347)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.20/1.43 % (18349)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)
% 1.20/1.43 % (18350)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 1.20/1.43 % (18351)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)
% 1.20/1.43 % (18352)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)
% 4.79/1.96 % (18353)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.43/2.51 % Exception at run slice level
% 8.43/2.51 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 8.43/2.52 % (18357)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 12.72/3.09 % (18357)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.72/3.09 % Exception at run slice level
% 12.72/3.09 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 12.72/3.11 % (18375)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)
% 19.56/4.04 % (18375)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 25.34/4.87 % (18351)First to succeed.
% 25.86/4.96 % (18351)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17947"
% 26.16/4.97 % (18351)Refutation found. Thanks to Tanya!
% 26.16/4.97 % SZS status Theorem for theBenchmark
% 26.16/4.97 % SZS output start Proof for theBenchmark
% 26.16/4.97 tff(type_def_5, type, vEBT_VEBT: $tType).
% 26.16/4.97 tff(type_def_6, type, code_integer: $tType).
% 26.16/4.97 tff(type_def_7, type, product_unit: $tType).
% 26.16/4.97 tff(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 26.16/4.97 tff(type_def_9, type, extended_enat: $tType).
% 26.16/4.97 tff(type_def_10, type, complex: $tType).
% 26.16/4.97 tff(type_def_11, type, literal: $tType).
% 26.16/4.97 tff(type_def_12, type, sum_sum: ($tType * $tType) > $tType).
% 26.16/4.97 tff(type_def_13, type, option: $tType > $tType).
% 26.16/4.97 tff(type_def_14, type, filter: $tType > $tType).
% 26.16/4.97 tff(type_def_15, type, char: $tType).
% 26.16/4.97 tff(type_def_16, type, real: $tType).
% 26.16/4.97 tff(type_def_17, type, list: $tType > $tType).
% 26.16/4.97 tff(type_def_18, type, bool: $tType).
% 26.16/4.97 tff(type_def_19, type, set: $tType > $tType).
% 26.16/4.97 tff(type_def_20, type, rat: $tType).
% 26.16/4.97 tff(type_def_21, type, num: $tType).
% 26.16/4.97 tff(type_def_22, type, nat: $tType).
% 26.16/4.97 tff(type_def_23, type, int: $tType).
% 26.16/4.97 tff(type_def_24, type, itself: $tType > $tType).
% 26.16/4.97 tff(type_def_25, type, fun: ($tType * $tType) > $tType).
% 26.16/4.97 tff(func_def_0, type, aTP_Lamp_a: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_1, type, aTP_Lamp_aa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_2, type, aTP_Lamp_aaa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_3, type, aTP_Lamp_aab: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_4, type, aTP_Lamp_aac: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_5, type, aTP_Lamp_aad: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_6, type, aTP_Lamp_aae: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_7, type, aTP_Lamp_aaf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_8, type, aTP_Lamp_aag: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_9, type, aTP_Lamp_aah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_10, type, aTP_Lamp_aai: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_11, type, aTP_Lamp_aaj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_12, type, aTP_Lamp_aak: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_13, type, aTP_Lamp_aal: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_14, type, aTP_Lamp_aam: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_15, type, aTP_Lamp_aan: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_16, type, aTP_Lamp_aao: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_17, type, aTP_Lamp_aap: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_18, type, aTP_Lamp_aaq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_19, type, aTP_Lamp_aar: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_20, type, aTP_Lamp_aas: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_21, type, aTP_Lamp_aat: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_22, type, aTP_Lamp_aau: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_23, type, aTP_Lamp_aav: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_24, type, aTP_Lamp_aaw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_25, type, aTP_Lamp_aax: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_26, type, aTP_Lamp_aay: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_27, type, aTP_Lamp_aaz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_28, type, aTP_Lamp_ab: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_29, type, aTP_Lamp_aba: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_30, type, aTP_Lamp_abb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_31, type, aTP_Lamp_abc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_32, type, aTP_Lamp_abd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_33, type, aTP_Lamp_abe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_34, type, aTP_Lamp_abf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_35, type, aTP_Lamp_abg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_36, type, aTP_Lamp_abh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_37, type, aTP_Lamp_abi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_38, type, aTP_Lamp_abj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_39, type, aTP_Lamp_abk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_40, type, aTP_Lamp_abl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_41, type, aTP_Lamp_abm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_42, type, aTP_Lamp_abn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_43, type, aTP_Lamp_abo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_44, type, aTP_Lamp_abp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_45, type, aTP_Lamp_abq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_46, type, aTP_Lamp_abr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_47, type, aTP_Lamp_abs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_48, type, aTP_Lamp_abt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_49, type, aTP_Lamp_abu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_50, type, aTP_Lamp_abv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_51, type, aTP_Lamp_abw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_52, type, aTP_Lamp_abx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_53, type, aTP_Lamp_aby: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_54, type, aTP_Lamp_abz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_55, type, aTP_Lamp_ac: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_56, type, aTP_Lamp_aca: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_57, type, aTP_Lamp_acb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_58, type, aTP_Lamp_acc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_59, type, aTP_Lamp_acd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_60, type, aTP_Lamp_ace: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_61, type, aTP_Lamp_acf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_62, type, aTP_Lamp_acg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_63, type, aTP_Lamp_ach: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_64, type, aTP_Lamp_aci: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_65, type, aTP_Lamp_acj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_66, type, aTP_Lamp_ack: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_67, type, aTP_Lamp_acl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_68, type, aTP_Lamp_acm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_69, type, aTP_Lamp_acn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_70, type, aTP_Lamp_aco: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_71, type, aTP_Lamp_acp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_72, type, aTP_Lamp_acq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_73, type, aTP_Lamp_acr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_74, type, aTP_Lamp_acs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_75, type, aTP_Lamp_act: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_76, type, aTP_Lamp_acu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_77, type, aTP_Lamp_acv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_78, type, aTP_Lamp_acw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_79, type, aTP_Lamp_acx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_80, type, aTP_Lamp_acy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_81, type, aTP_Lamp_acz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_82, type, aTP_Lamp_ad: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_83, type, aTP_Lamp_ada: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_84, type, aTP_Lamp_adb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_85, type, aTP_Lamp_adc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_86, type, aTP_Lamp_add: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_87, type, aTP_Lamp_ade: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_88, type, aTP_Lamp_adf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_89, type, aTP_Lamp_adg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_90, type, aTP_Lamp_adh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_91, type, aTP_Lamp_adi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_92, type, aTP_Lamp_adj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_93, type, aTP_Lamp_adk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_94, type, aTP_Lamp_adl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_95, type, aTP_Lamp_adm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_96, type, aTP_Lamp_adn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_97, type, aTP_Lamp_ado: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_98, type, aTP_Lamp_adp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_99, type, aTP_Lamp_adq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_100, type, aTP_Lamp_adr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_101, type, aTP_Lamp_ads: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_102, type, aTP_Lamp_adt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_103, type, aTP_Lamp_adu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_104, type, aTP_Lamp_adv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_105, type, aTP_Lamp_adw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_106, type, aTP_Lamp_adx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_107, type, aTP_Lamp_ady: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_108, type, aTP_Lamp_adz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_109, type, aTP_Lamp_ae: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_110, type, aTP_Lamp_aea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_111, type, aTP_Lamp_aeb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_112, type, aTP_Lamp_aec: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_113, type, aTP_Lamp_aed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_114, type, aTP_Lamp_aee: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_115, type, aTP_Lamp_aef: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_116, type, aTP_Lamp_aeg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_117, type, aTP_Lamp_aeh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_118, type, aTP_Lamp_aei: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_119, type, aTP_Lamp_aej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_120, type, aTP_Lamp_aek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_121, type, aTP_Lamp_ael: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_122, type, aTP_Lamp_aem: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_123, type, aTP_Lamp_aen: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_124, type, aTP_Lamp_aeo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_125, type, aTP_Lamp_aep: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_126, type, aTP_Lamp_aeq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_127, type, aTP_Lamp_aer: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_128, type, aTP_Lamp_aes: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_129, type, aTP_Lamp_aet: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_130, type, aTP_Lamp_aeu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_131, type, aTP_Lamp_aev: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_132, type, aTP_Lamp_aew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_133, type, aTP_Lamp_aex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_134, type, aTP_Lamp_aey: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_135, type, aTP_Lamp_aez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_136, type, aTP_Lamp_af: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_137, type, aTP_Lamp_afa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_138, type, aTP_Lamp_afb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_139, type, aTP_Lamp_afc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_140, type, aTP_Lamp_afd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_141, type, aTP_Lamp_afe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_142, type, aTP_Lamp_aff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_143, type, aTP_Lamp_afg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_144, type, aTP_Lamp_afh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_145, type, aTP_Lamp_afi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_146, type, aTP_Lamp_afj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_147, type, aTP_Lamp_afk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_148, type, aTP_Lamp_afl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_149, type, aTP_Lamp_afm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_150, type, aTP_Lamp_afn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_151, type, aTP_Lamp_afo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_152, type, aTP_Lamp_afp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_153, type, aTP_Lamp_afq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_154, type, aTP_Lamp_afr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_155, type, aTP_Lamp_afs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_156, type, aTP_Lamp_aft: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_157, type, aTP_Lamp_afu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_158, type, aTP_Lamp_afv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_159, type, aTP_Lamp_afw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_160, type, aTP_Lamp_afx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_161, type, aTP_Lamp_afy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_162, type, aTP_Lamp_afz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_163, type, aTP_Lamp_ag: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_164, type, aTP_Lamp_aga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_165, type, aTP_Lamp_agb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_166, type, aTP_Lamp_agc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_167, type, aTP_Lamp_agd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_168, type, aTP_Lamp_age: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_169, type, aTP_Lamp_agf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_170, type, aTP_Lamp_agg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_171, type, aTP_Lamp_agh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_172, type, aTP_Lamp_agi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_173, type, aTP_Lamp_agj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_174, type, aTP_Lamp_agk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_175, type, aTP_Lamp_agl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_176, type, aTP_Lamp_agm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_177, type, aTP_Lamp_agn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_178, type, aTP_Lamp_ago: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_179, type, aTP_Lamp_agp: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_180, type, aTP_Lamp_agq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_181, type, aTP_Lamp_agr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_182, type, aTP_Lamp_ags: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_183, type, aTP_Lamp_agt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_184, type, aTP_Lamp_agu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_185, type, aTP_Lamp_agv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_186, type, aTP_Lamp_agw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_187, type, aTP_Lamp_agx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_188, type, aTP_Lamp_agy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_189, type, aTP_Lamp_agz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_190, type, aTP_Lamp_ah: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_191, type, aTP_Lamp_aha: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_192, type, aTP_Lamp_ahb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_193, type, aTP_Lamp_ahc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_194, type, aTP_Lamp_ahd: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_195, type, aTP_Lamp_ahe: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_196, type, aTP_Lamp_ahf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_197, type, aTP_Lamp_ahg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_198, type, aTP_Lamp_ahh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_199, type, aTP_Lamp_ahi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_200, type, aTP_Lamp_ahj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_201, type, aTP_Lamp_ahk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_202, type, aTP_Lamp_ahl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_203, type, aTP_Lamp_ahm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_204, type, aTP_Lamp_ahn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_205, type, aTP_Lamp_aho: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_206, type, aTP_Lamp_ahp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_207, type, aTP_Lamp_ahq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_208, type, aTP_Lamp_ahr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_209, type, aTP_Lamp_ahs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_210, type, aTP_Lamp_aht: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_211, type, aTP_Lamp_ahu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_212, type, aTP_Lamp_ahv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_213, type, aTP_Lamp_ahw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_214, type, aTP_Lamp_ahx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_215, type, aTP_Lamp_ahy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_216, type, aTP_Lamp_ahz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_217, type, aTP_Lamp_ai: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_218, type, aTP_Lamp_aia: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_219, type, aTP_Lamp_aib: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_220, type, aTP_Lamp_aic: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_221, type, aTP_Lamp_aid: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_222, type, aTP_Lamp_aie: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_223, type, aTP_Lamp_aif: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_224, type, aTP_Lamp_aig: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_225, type, aTP_Lamp_aih: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_226, type, aTP_Lamp_aii: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_227, type, aTP_Lamp_aij: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_228, type, aTP_Lamp_aik: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_229, type, aTP_Lamp_ail: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_230, type, aTP_Lamp_aim: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_231, type, aTP_Lamp_ain: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_232, type, aTP_Lamp_aio: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_233, type, aTP_Lamp_aip: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_234, type, aTP_Lamp_aiq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_235, type, aTP_Lamp_air: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_236, type, aTP_Lamp_ais: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_237, type, aTP_Lamp_ait: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_238, type, aTP_Lamp_aiu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_239, type, aTP_Lamp_aiv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_240, type, aTP_Lamp_aiw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_241, type, aTP_Lamp_aix: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_242, type, aTP_Lamp_aiy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_243, type, aTP_Lamp_aiz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_244, type, aTP_Lamp_aj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_245, type, aTP_Lamp_aja: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_246, type, aTP_Lamp_ajb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_247, type, aTP_Lamp_ajc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_248, type, aTP_Lamp_ajd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_249, type, aTP_Lamp_aje: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_250, type, aTP_Lamp_ajf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_251, type, aTP_Lamp_ajg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_252, type, aTP_Lamp_ajh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_253, type, aTP_Lamp_aji: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_254, type, aTP_Lamp_ajj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_255, type, aTP_Lamp_ajk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_256, type, aTP_Lamp_ajl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_257, type, aTP_Lamp_ajm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_258, type, aTP_Lamp_ajn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_259, type, aTP_Lamp_ajo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_260, type, aTP_Lamp_ajp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_261, type, aTP_Lamp_ajq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_262, type, aTP_Lamp_ajr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_263, type, aTP_Lamp_ajs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_264, type, aTP_Lamp_ajt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_265, type, aTP_Lamp_aju: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_266, type, aTP_Lamp_ajv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_267, type, aTP_Lamp_ajw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_268, type, aTP_Lamp_ajx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_269, type, aTP_Lamp_ajy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_270, type, aTP_Lamp_ajz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_271, type, aTP_Lamp_ak: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_272, type, aTP_Lamp_aka: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_273, type, aTP_Lamp_akb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_274, type, aTP_Lamp_akc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_275, type, aTP_Lamp_akd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_276, type, aTP_Lamp_ake: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_277, type, aTP_Lamp_akf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_278, type, aTP_Lamp_akg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_279, type, aTP_Lamp_akh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_280, type, aTP_Lamp_aki: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_281, type, aTP_Lamp_akj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_282, type, aTP_Lamp_akk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_283, type, aTP_Lamp_akl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_284, type, aTP_Lamp_al: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_285, type, aTP_Lamp_am: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_286, type, aTP_Lamp_an: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_287, type, aTP_Lamp_ao: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_288, type, aTP_Lamp_ap: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_289, type, aTP_Lamp_aq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_290, type, aTP_Lamp_ar: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_291, type, aTP_Lamp_as: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_292, type, aTP_Lamp_at: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_293, type, aTP_Lamp_au: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_294, type, aTP_Lamp_av: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_295, type, aTP_Lamp_aw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_296, type, aTP_Lamp_ax: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_297, type, aTP_Lamp_ay: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_298, type, aTP_Lamp_az: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_299, type, aTP_Lamp_ba: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_300, type, aTP_Lamp_bb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_301, type, aTP_Lamp_bc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_302, type, aTP_Lamp_bd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_303, type, aTP_Lamp_be: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_304, type, aTP_Lamp_bf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_305, type, aTP_Lamp_bg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_306, type, aTP_Lamp_bh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_307, type, aTP_Lamp_bi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_308, type, aTP_Lamp_bj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_309, type, aTP_Lamp_bk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_310, type, aTP_Lamp_bl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_311, type, aTP_Lamp_bm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_312, type, aTP_Lamp_bn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_313, type, aTP_Lamp_bo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_314, type, aTP_Lamp_bp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_315, type, aTP_Lamp_bq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_316, type, aTP_Lamp_br: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_317, type, aTP_Lamp_bs: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_318, type, aTP_Lamp_bt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_319, type, aTP_Lamp_bu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_320, type, aTP_Lamp_bv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_321, type, aTP_Lamp_bw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_322, type, aTP_Lamp_bx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_323, type, aTP_Lamp_by: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_324, type, aTP_Lamp_bz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_325, type, aTP_Lamp_ca: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_326, type, aTP_Lamp_cb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_327, type, aTP_Lamp_cc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_328, type, aTP_Lamp_cd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_329, type, aTP_Lamp_ce: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_330, type, aTP_Lamp_cf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_331, type, aTP_Lamp_cg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_332, type, aTP_Lamp_ch: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_333, type, aTP_Lamp_ci: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_334, type, aTP_Lamp_cj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_335, type, aTP_Lamp_ck: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_336, type, aTP_Lamp_cl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_337, type, aTP_Lamp_cm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_338, type, aTP_Lamp_cn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_339, type, aTP_Lamp_co: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_340, type, aTP_Lamp_cp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_341, type, aTP_Lamp_cq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_342, type, aTP_Lamp_cr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_343, type, aTP_Lamp_cs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_344, type, aTP_Lamp_ct: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_345, type, aTP_Lamp_cu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_346, type, aTP_Lamp_cv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_347, type, aTP_Lamp_cw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_348, type, aTP_Lamp_cx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_349, type, aTP_Lamp_cy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_350, type, aTP_Lamp_cz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_351, type, aTP_Lamp_da: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_352, type, aTP_Lamp_db: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_353, type, aTP_Lamp_dc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_354, type, aTP_Lamp_dd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_355, type, aTP_Lamp_de: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_356, type, aTP_Lamp_df: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_357, type, aTP_Lamp_dg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_358, type, aTP_Lamp_dh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_359, type, aTP_Lamp_di: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_360, type, aTP_Lamp_dj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_361, type, aTP_Lamp_dk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_362, type, aTP_Lamp_dl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_363, type, aTP_Lamp_dm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_364, type, aTP_Lamp_dn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_365, type, aTP_Lamp_do: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_366, type, aTP_Lamp_dp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_367, type, aTP_Lamp_dq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_368, type, aTP_Lamp_dr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_369, type, aTP_Lamp_ds: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_370, type, aTP_Lamp_dt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_371, type, aTP_Lamp_du: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_372, type, aTP_Lamp_dv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_373, type, aTP_Lamp_dw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_374, type, aTP_Lamp_dx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_375, type, aTP_Lamp_dy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_376, type, aTP_Lamp_dz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_377, type, aTP_Lamp_ea: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_378, type, aTP_Lamp_eb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_379, type, aTP_Lamp_ec: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_380, type, aTP_Lamp_ed: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_381, type, aTP_Lamp_ee: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_382, type, aTP_Lamp_ef: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_383, type, aTP_Lamp_eg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_384, type, aTP_Lamp_eh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_385, type, aTP_Lamp_ei: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_386, type, aTP_Lamp_ej: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_387, type, aTP_Lamp_ek: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_388, type, aTP_Lamp_el: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_389, type, aTP_Lamp_em: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_390, type, aTP_Lamp_en: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_391, type, aTP_Lamp_eo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_392, type, aTP_Lamp_ep: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_393, type, aTP_Lamp_eq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_394, type, aTP_Lamp_er: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_395, type, aTP_Lamp_es: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_396, type, aTP_Lamp_et: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_397, type, aTP_Lamp_eu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_398, type, aTP_Lamp_ev: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_399, type, aTP_Lamp_ew: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_400, type, aTP_Lamp_ex: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_401, type, aTP_Lamp_ey: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_402, type, aTP_Lamp_ez: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_403, type, aTP_Lamp_fa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_404, type, aTP_Lamp_fb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_405, type, aTP_Lamp_fc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_406, type, aTP_Lamp_fd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_407, type, aTP_Lamp_fe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_408, type, aTP_Lamp_ff: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_409, type, aTP_Lamp_fg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_410, type, aTP_Lamp_fh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_411, type, aTP_Lamp_fi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_412, type, aTP_Lamp_fj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_413, type, aTP_Lamp_fk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_414, type, aTP_Lamp_fl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_415, type, aTP_Lamp_fm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_416, type, aTP_Lamp_fn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_417, type, aTP_Lamp_fo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_418, type, aTP_Lamp_fp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_419, type, aTP_Lamp_fq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_420, type, aTP_Lamp_fr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_421, type, aTP_Lamp_fs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_422, type, aTP_Lamp_ft: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_423, type, aTP_Lamp_fu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_424, type, aTP_Lamp_fv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_425, type, aTP_Lamp_fw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_426, type, aTP_Lamp_fx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_427, type, aTP_Lamp_fy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_428, type, aTP_Lamp_fz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_429, type, aTP_Lamp_ga: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_430, type, aTP_Lamp_gb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_431, type, aTP_Lamp_gc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_432, type, aTP_Lamp_gd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_433, type, aTP_Lamp_ge: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_434, type, aTP_Lamp_gf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_435, type, aTP_Lamp_gg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_436, type, aTP_Lamp_gh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_437, type, aTP_Lamp_gi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_438, type, aTP_Lamp_gj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_439, type, aTP_Lamp_gk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_440, type, aTP_Lamp_gl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_441, type, aTP_Lamp_gm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_442, type, aTP_Lamp_gn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_443, type, aTP_Lamp_go: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_444, type, aTP_Lamp_gp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_445, type, aTP_Lamp_gq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_446, type, aTP_Lamp_gr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_447, type, aTP_Lamp_gs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_448, type, aTP_Lamp_gt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_449, type, aTP_Lamp_gu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_450, type, aTP_Lamp_gv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_451, type, aTP_Lamp_gw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_452, type, aTP_Lamp_gx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_453, type, aTP_Lamp_gy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_454, type, aTP_Lamp_gz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_455, type, aTP_Lamp_ha: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_456, type, aTP_Lamp_hb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_457, type, aTP_Lamp_hc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_458, type, aTP_Lamp_hd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_459, type, aTP_Lamp_he: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_460, type, aTP_Lamp_hf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_461, type, aTP_Lamp_hg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_462, type, aTP_Lamp_hh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_463, type, aTP_Lamp_hi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_464, type, aTP_Lamp_hj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_465, type, aTP_Lamp_hk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_466, type, aTP_Lamp_hl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_467, type, aTP_Lamp_hm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_468, type, aTP_Lamp_hn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_469, type, aTP_Lamp_ho: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_470, type, aTP_Lamp_hp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_471, type, aTP_Lamp_hq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_472, type, aTP_Lamp_hr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_473, type, aTP_Lamp_hs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_474, type, aTP_Lamp_ht: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_475, type, aTP_Lamp_hu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_476, type, aTP_Lamp_hv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_477, type, aTP_Lamp_hw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_478, type, aTP_Lamp_hx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_479, type, aTP_Lamp_hy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_480, type, aTP_Lamp_hz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_481, type, aTP_Lamp_ia: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_482, type, aTP_Lamp_ib: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_483, type, aTP_Lamp_ic: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_484, type, aTP_Lamp_id: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_485, type, aTP_Lamp_ie: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_486, type, aTP_Lamp_if: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_487, type, aTP_Lamp_ig: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_488, type, aTP_Lamp_ih: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_489, type, aTP_Lamp_ii: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_490, type, aTP_Lamp_ij: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_491, type, aTP_Lamp_ik: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_492, type, aTP_Lamp_il: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_493, type, aTP_Lamp_im: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_494, type, aTP_Lamp_in: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_495, type, aTP_Lamp_io: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_496, type, aTP_Lamp_ip: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_497, type, aTP_Lamp_iq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_498, type, aTP_Lamp_ir: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_499, type, aTP_Lamp_is: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_500, type, aTP_Lamp_it: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_501, type, aTP_Lamp_iu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_502, type, aTP_Lamp_iv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_503, type, aTP_Lamp_iw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_504, type, aTP_Lamp_ix: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_505, type, aTP_Lamp_iy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_506, type, aTP_Lamp_iz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_507, type, aTP_Lamp_ja: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_508, type, aTP_Lamp_jb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_509, type, aTP_Lamp_jc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_510, type, aTP_Lamp_jd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_511, type, aTP_Lamp_je: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_512, type, aTP_Lamp_jf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_513, type, aTP_Lamp_jg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_514, type, aTP_Lamp_jh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_515, type, aTP_Lamp_ji: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_516, type, aTP_Lamp_jj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_517, type, aTP_Lamp_jk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_518, type, aTP_Lamp_jl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_519, type, aTP_Lamp_jm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_520, type, aTP_Lamp_jn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_521, type, aTP_Lamp_jo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_522, type, aTP_Lamp_jp: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_523, type, aTP_Lamp_jq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_524, type, aTP_Lamp_jr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_525, type, aTP_Lamp_js: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_526, type, aTP_Lamp_jt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_527, type, aTP_Lamp_ju: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_528, type, aTP_Lamp_jv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_529, type, aTP_Lamp_jw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_530, type, aTP_Lamp_jx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_531, type, aTP_Lamp_jy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_532, type, aTP_Lamp_jz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_533, type, aTP_Lamp_ka: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_534, type, aTP_Lamp_kb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_535, type, aTP_Lamp_kc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_536, type, aTP_Lamp_kd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_537, type, aTP_Lamp_ke: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_538, type, aTP_Lamp_kf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_539, type, aTP_Lamp_kg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_540, type, aTP_Lamp_kh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_541, type, aTP_Lamp_ki: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_542, type, aTP_Lamp_kj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_543, type, aTP_Lamp_kk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_544, type, aTP_Lamp_kl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_545, type, aTP_Lamp_km: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_546, type, aTP_Lamp_kn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_547, type, aTP_Lamp_ko: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_548, type, aTP_Lamp_kp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_549, type, aTP_Lamp_kq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_550, type, aTP_Lamp_kr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_551, type, aTP_Lamp_ks: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_552, type, aTP_Lamp_kt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_553, type, aTP_Lamp_ku: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_554, type, aTP_Lamp_kv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_555, type, aTP_Lamp_kw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_556, type, aTP_Lamp_kx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_557, type, aTP_Lamp_ky: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_558, type, aTP_Lamp_kz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_559, type, aTP_Lamp_la: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_560, type, aTP_Lamp_lb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_561, type, aTP_Lamp_lc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_562, type, aTP_Lamp_ld: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_563, type, aTP_Lamp_le: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_564, type, aTP_Lamp_lf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_565, type, aTP_Lamp_lg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_566, type, aTP_Lamp_lh: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_567, type, aTP_Lamp_li: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_568, type, aTP_Lamp_lj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_569, type, aTP_Lamp_lk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_570, type, aTP_Lamp_ll: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_571, type, aTP_Lamp_lm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_572, type, aTP_Lamp_ln: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_573, type, aTP_Lamp_lo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_574, type, aTP_Lamp_lp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_575, type, aTP_Lamp_lq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_576, type, aTP_Lamp_lr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_577, type, aTP_Lamp_ls: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_578, type, aTP_Lamp_lt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_579, type, aTP_Lamp_lu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_580, type, aTP_Lamp_lv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_581, type, aTP_Lamp_lw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_582, type, aTP_Lamp_lx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_583, type, aTP_Lamp_ly: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_584, type, aTP_Lamp_lz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_585, type, aTP_Lamp_ma: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_586, type, aTP_Lamp_mb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_587, type, aTP_Lamp_mc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_588, type, aTP_Lamp_md: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_589, type, aTP_Lamp_me: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_590, type, aTP_Lamp_mf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_591, type, aTP_Lamp_mg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_592, type, aTP_Lamp_mh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_593, type, aTP_Lamp_mi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_594, type, aTP_Lamp_mj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_595, type, aTP_Lamp_mk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_596, type, aTP_Lamp_ml: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_597, type, aTP_Lamp_mm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_598, type, aTP_Lamp_mn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_599, type, aTP_Lamp_mo: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_600, type, aTP_Lamp_mp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_601, type, aTP_Lamp_mq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_602, type, aTP_Lamp_mr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_603, type, aTP_Lamp_ms: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_604, type, aTP_Lamp_mt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_605, type, aTP_Lamp_mu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_606, type, aTP_Lamp_mv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_607, type, aTP_Lamp_mw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_608, type, aTP_Lamp_mx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_609, type, aTP_Lamp_my: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_610, type, aTP_Lamp_mz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_611, type, aTP_Lamp_na: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_612, type, aTP_Lamp_nb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_613, type, aTP_Lamp_nc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_614, type, aTP_Lamp_nd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_615, type, aTP_Lamp_ne: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_616, type, aTP_Lamp_nf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_617, type, aTP_Lamp_ng: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_618, type, aTP_Lamp_nh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_619, type, aTP_Lamp_ni: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_620, type, aTP_Lamp_nj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_621, type, aTP_Lamp_nk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_622, type, aTP_Lamp_nl: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_623, type, aTP_Lamp_nm: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_624, type, aTP_Lamp_nn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_625, type, aTP_Lamp_no: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_626, type, aTP_Lamp_np: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_627, type, aTP_Lamp_nq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_628, type, aTP_Lamp_nr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_629, type, aTP_Lamp_ns: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_630, type, aTP_Lamp_nt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_631, type, aTP_Lamp_nu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_632, type, aTP_Lamp_nv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_633, type, aTP_Lamp_nw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_634, type, aTP_Lamp_nx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_635, type, aTP_Lamp_ny: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_636, type, aTP_Lamp_nz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_637, type, aTP_Lamp_oa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_638, type, aTP_Lamp_ob: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_639, type, aTP_Lamp_oc: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_640, type, aTP_Lamp_od: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_641, type, aTP_Lamp_oe: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_642, type, aTP_Lamp_of: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_643, type, aTP_Lamp_og: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_644, type, aTP_Lamp_oh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_645, type, aTP_Lamp_oi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_646, type, aTP_Lamp_oj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_647, type, aTP_Lamp_ok: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_648, type, aTP_Lamp_ol: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_649, type, aTP_Lamp_om: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_650, type, aTP_Lamp_on: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_651, type, aTP_Lamp_oo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_652, type, aTP_Lamp_op: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_653, type, aTP_Lamp_oq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_654, type, aTP_Lamp_or: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_655, type, aTP_Lamp_os: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_656, type, aTP_Lamp_ot: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_657, type, aTP_Lamp_ou: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_658, type, aTP_Lamp_ov: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_659, type, aTP_Lamp_ow: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_660, type, aTP_Lamp_ox: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_661, type, aTP_Lamp_oy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_662, type, aTP_Lamp_oz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_663, type, aTP_Lamp_pa: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_664, type, aTP_Lamp_pb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_665, type, aTP_Lamp_pc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_666, type, aTP_Lamp_pd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_667, type, aTP_Lamp_pe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_668, type, aTP_Lamp_pf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_669, type, aTP_Lamp_pg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_670, type, aTP_Lamp_ph: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_671, type, aTP_Lamp_pi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_672, type, aTP_Lamp_pj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_673, type, aTP_Lamp_pk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_674, type, aTP_Lamp_pl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_675, type, aTP_Lamp_pm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_676, type, aTP_Lamp_pn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_677, type, aTP_Lamp_po: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_678, type, aTP_Lamp_pp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_679, type, aTP_Lamp_pq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_680, type, aTP_Lamp_pr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_681, type, aTP_Lamp_ps: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_682, type, aTP_Lamp_pt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_683, type, aTP_Lamp_pu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_684, type, aTP_Lamp_pv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_685, type, aTP_Lamp_pw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_686, type, aTP_Lamp_px: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_687, type, aTP_Lamp_py: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_688, type, aTP_Lamp_pz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_689, type, aTP_Lamp_qa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_690, type, aTP_Lamp_qb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_691, type, aTP_Lamp_qc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_692, type, aTP_Lamp_qd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_693, type, aTP_Lamp_qe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_694, type, aTP_Lamp_qf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_695, type, aTP_Lamp_qg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_696, type, aTP_Lamp_qh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_697, type, aTP_Lamp_qi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_698, type, aTP_Lamp_qj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_699, type, aTP_Lamp_qk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_700, type, aTP_Lamp_ql: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_701, type, aTP_Lamp_qm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_702, type, aTP_Lamp_qn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_703, type, aTP_Lamp_qo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_704, type, aTP_Lamp_qp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_705, type, aTP_Lamp_qq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_706, type, aTP_Lamp_qr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_707, type, aTP_Lamp_qs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_708, type, aTP_Lamp_qt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_709, type, aTP_Lamp_qu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_710, type, aTP_Lamp_qv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_711, type, aTP_Lamp_qw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_712, type, aTP_Lamp_qx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_713, type, aTP_Lamp_qy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_714, type, aTP_Lamp_qz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_715, type, aTP_Lamp_ra: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_716, type, aTP_Lamp_rb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_717, type, aTP_Lamp_rc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_718, type, aTP_Lamp_rd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_719, type, aTP_Lamp_re: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_720, type, aTP_Lamp_rf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_721, type, aTP_Lamp_rg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_722, type, aTP_Lamp_rh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_723, type, aTP_Lamp_ri: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_724, type, aTP_Lamp_rj: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_725, type, aTP_Lamp_rk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_726, type, aTP_Lamp_rl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_727, type, aTP_Lamp_rm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_728, type, aTP_Lamp_rn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_729, type, aTP_Lamp_ro: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_730, type, aTP_Lamp_rp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_731, type, aTP_Lamp_rq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_732, type, aTP_Lamp_rr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_733, type, aTP_Lamp_rs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_734, type, aTP_Lamp_rt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_735, type, aTP_Lamp_ru: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_736, type, aTP_Lamp_rv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_737, type, aTP_Lamp_rw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_738, type, aTP_Lamp_rx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_739, type, aTP_Lamp_ry: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_740, type, aTP_Lamp_rz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_741, type, aTP_Lamp_sa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_742, type, aTP_Lamp_sb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_743, type, aTP_Lamp_sc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_744, type, aTP_Lamp_sd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_745, type, aTP_Lamp_se: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_746, type, aTP_Lamp_sf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_747, type, aTP_Lamp_sg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_748, type, aTP_Lamp_sh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_749, type, aTP_Lamp_si: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_750, type, aTP_Lamp_sj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_751, type, aTP_Lamp_sk: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_752, type, aTP_Lamp_sl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_753, type, aTP_Lamp_sm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_754, type, aTP_Lamp_sn: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_755, type, aTP_Lamp_so: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_756, type, aTP_Lamp_sp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_757, type, aTP_Lamp_sq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_758, type, aTP_Lamp_sr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_759, type, aTP_Lamp_ss: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_760, type, aTP_Lamp_st: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_761, type, aTP_Lamp_su: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_762, type, aTP_Lamp_sv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_763, type, aTP_Lamp_sw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_764, type, aTP_Lamp_sx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_765, type, aTP_Lamp_sy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_766, type, aTP_Lamp_sz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_767, type, aTP_Lamp_ta: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_768, type, aTP_Lamp_tb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_769, type, aTP_Lamp_tc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_770, type, aTP_Lamp_td: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_771, type, aTP_Lamp_te: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_772, type, aTP_Lamp_tf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_773, type, aTP_Lamp_tg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_774, type, aTP_Lamp_th: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_775, type, aTP_Lamp_ti: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_776, type, aTP_Lamp_tj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_777, type, aTP_Lamp_tk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_778, type, aTP_Lamp_tl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_779, type, aTP_Lamp_tm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_780, type, aTP_Lamp_tn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_781, type, aTP_Lamp_to: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_782, type, aTP_Lamp_tp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_783, type, aTP_Lamp_tq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_784, type, aTP_Lamp_tr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_785, type, aTP_Lamp_ts: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_786, type, aTP_Lamp_tt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_787, type, aTP_Lamp_tu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_788, type, aTP_Lamp_tv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_789, type, aTP_Lamp_tw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_790, type, aTP_Lamp_tx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_791, type, aTP_Lamp_ty: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_792, type, aTP_Lamp_tz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_793, type, aTP_Lamp_ua: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_794, type, aTP_Lamp_ub: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_795, type, aTP_Lamp_uc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_796, type, aTP_Lamp_ud: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_797, type, aTP_Lamp_ue: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_798, type, aTP_Lamp_uf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_799, type, aTP_Lamp_ug: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_800, type, aTP_Lamp_uh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_801, type, aTP_Lamp_ui: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_802, type, aTP_Lamp_uj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_803, type, aTP_Lamp_uk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_804, type, aTP_Lamp_ul: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_805, type, aTP_Lamp_um: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_806, type, aTP_Lamp_un: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_807, type, aTP_Lamp_uo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_808, type, aTP_Lamp_up: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_809, type, aTP_Lamp_uq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_810, type, aTP_Lamp_ur: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_811, type, aTP_Lamp_us: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_812, type, aTP_Lamp_ut: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_813, type, aTP_Lamp_uu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_814, type, aTP_Lamp_uv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_815, type, aTP_Lamp_uw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_816, type, aTP_Lamp_ux: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_817, type, aTP_Lamp_uy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_818, type, aTP_Lamp_uz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_819, type, aTP_Lamp_va: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_820, type, aTP_Lamp_vb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_821, type, aTP_Lamp_vc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_822, type, aTP_Lamp_vd: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_823, type, aTP_Lamp_ve: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_824, type, aTP_Lamp_vf: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_825, type, aTP_Lamp_vg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_826, type, aTP_Lamp_vh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_827, type, aTP_Lamp_vi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_828, type, aTP_Lamp_vj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_829, type, aTP_Lamp_vk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_830, type, aTP_Lamp_vl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_831, type, aTP_Lamp_vm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_832, type, aTP_Lamp_vn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_833, type, aTP_Lamp_vo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_834, type, aTP_Lamp_vp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_835, type, aTP_Lamp_vq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_836, type, aTP_Lamp_vr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_837, type, aTP_Lamp_vs: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_838, type, aTP_Lamp_vt: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_839, type, aTP_Lamp_vu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_840, type, aTP_Lamp_vv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_841, type, aTP_Lamp_vw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_842, type, aTP_Lamp_vx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_843, type, aTP_Lamp_vy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_844, type, aTP_Lamp_vz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_845, type, aTP_Lamp_wa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_846, type, aTP_Lamp_wb: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_847, type, aTP_Lamp_wc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_848, type, aTP_Lamp_wd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_849, type, aTP_Lamp_we: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_850, type, aTP_Lamp_wf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_851, type, aTP_Lamp_wg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_852, type, aTP_Lamp_wh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_853, type, aTP_Lamp_wi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_854, type, aTP_Lamp_wj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_855, type, aTP_Lamp_wk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_856, type, aTP_Lamp_wl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_857, type, aTP_Lamp_wm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_858, type, aTP_Lamp_wn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_859, type, aTP_Lamp_wo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_860, type, aTP_Lamp_wp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_861, type, aTP_Lamp_wq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_862, type, aTP_Lamp_wr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_863, type, aTP_Lamp_ws: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_864, type, aTP_Lamp_wt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_865, type, aTP_Lamp_wu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_866, type, aTP_Lamp_wv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_867, type, aTP_Lamp_ww: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_868, type, aTP_Lamp_wx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_869, type, aTP_Lamp_wy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_870, type, aTP_Lamp_wz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_871, type, aTP_Lamp_xa: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_872, type, aTP_Lamp_xb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_873, type, aTP_Lamp_xc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_874, type, aTP_Lamp_xd: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_875, type, aTP_Lamp_xe: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_876, type, aTP_Lamp_xf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_877, type, aTP_Lamp_xg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_878, type, aTP_Lamp_xh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_879, type, aTP_Lamp_xi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_880, type, aTP_Lamp_xj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_881, type, aTP_Lamp_xk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_882, type, aTP_Lamp_xl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_883, type, aTP_Lamp_xm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_884, type, aTP_Lamp_xn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_885, type, aTP_Lamp_xo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_886, type, aTP_Lamp_xp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_887, type, aTP_Lamp_xq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_888, type, aTP_Lamp_xr: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_889, type, aTP_Lamp_xs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_890, type, aTP_Lamp_xt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_891, type, aTP_Lamp_xu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_892, type, aTP_Lamp_xv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_893, type, aTP_Lamp_xw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_894, type, aTP_Lamp_xx: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_895, type, aTP_Lamp_xy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_896, type, aTP_Lamp_xz: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_897, type, aTP_Lamp_ya: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_898, type, aTP_Lamp_yb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_899, type, aTP_Lamp_yc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_900, type, aTP_Lamp_yd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_901, type, aTP_Lamp_ye: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_902, type, aTP_Lamp_yf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_903, type, aTP_Lamp_yg: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_904, type, aTP_Lamp_yh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_905, type, aTP_Lamp_yi: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_906, type, aTP_Lamp_yj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_907, type, aTP_Lamp_yk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_908, type, aTP_Lamp_yl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_909, type, aTP_Lamp_ym: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_910, type, aTP_Lamp_yn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_911, type, aTP_Lamp_yo: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_912, type, aTP_Lamp_yp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_913, type, aTP_Lamp_yq: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_914, type, aTP_Lamp_yr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_915, type, aTP_Lamp_ys: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_916, type, aTP_Lamp_yt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_917, type, aTP_Lamp_yu: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_918, type, aTP_Lamp_yv: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_919, type, aTP_Lamp_yw: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_920, type, aTP_Lamp_yx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_921, type, aTP_Lamp_yy: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_922, type, aTP_Lamp_yz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_923, type, aTP_Lamp_za: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_924, type, aTP_Lamp_zb: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_925, type, aTP_Lamp_zc: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_926, type, aTP_Lamp_zd: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_927, type, aTP_Lamp_ze: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_928, type, aTP_Lamp_zf: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_929, type, aTP_Lamp_zg: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_930, type, aTP_Lamp_zh: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_931, type, aTP_Lamp_zi: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_932, type, aTP_Lamp_zj: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_933, type, aTP_Lamp_zk: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_934, type, aTP_Lamp_zl: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_935, type, aTP_Lamp_zm: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_936, type, aTP_Lamp_zn: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_937, type, aTP_Lamp_zo: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_938, type, aTP_Lamp_zp: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_939, type, aTP_Lamp_zq: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_940, type, aTP_Lamp_zr: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_941, type, aTP_Lamp_zs: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_942, type, aTP_Lamp_zt: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_943, type, aTP_Lamp_zu: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_944, type, aTP_Lamp_zv: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_945, type, aTP_Lamp_zw: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_946, type, aTP_Lamp_zx: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_947, type, aTP_Lamp_zy: !>[X0: $tType, X1: $tType]:(fun(X0,X1))).
% 26.16/4.97 tff(func_def_948, type, aTP_Lamp_zz: !>[X0: $tType, X1: $tType]:((X0) > X1)).
% 26.16/4.97 tff(func_def_949, type, archimedean_ceiling: !>[X0: $tType]:((X0) > int)).
% 26.16/4.97 tff(func_def_950, type, archim6421214686448440834_floor: !>[X0: $tType]:((X0) > int)).
% 26.16/4.97 tff(func_def_951, type, archimedean_frac: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_952, type, archimedean_round: !>[X0: $tType]:((X0) > int)).
% 26.16/4.97 tff(func_def_953, type, bNF_Cardinal_Csum: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * fun(X0,set(product_prod(X1,X1)))) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))))).
% 26.16/4.97 tff(func_def_954, type, bNF_Cardinal_cexp: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > set(product_prod(fun(X1,X0),fun(X1,X0))))).
% 26.16/4.97 tff(func_def_955, type, bNF_Cardinal_cone: set(product_prod(product_unit,product_unit))).
% 26.16/4.97 tff(func_def_956, type, bNF_Cardinal_cprod: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))))).
% 26.16/4.97 tff(func_def_957, type, bNF_Cardinal_csum: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > set(product_prod(sum_sum(X0,X1),sum_sum(X0,X1))))).
% 26.16/4.97 tff(func_def_958, type, bNF_Cardinal_ctwo: set(product_prod(bool,bool))).
% 26.16/4.97 tff(func_def_959, type, bNF_Cardinal_czero: !>[X0: $tType]:(set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_960, type, bNF_Ca8387033319878233205ardSuc: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 26.16/4.97 tff(func_def_961, type, bNF_Ca6860139660246222851ard_of: !>[X0: $tType]:((set(X0)) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_962, type, bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_963, type, bNF_Gr: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > set(product_prod(X0,X1)))).
% 26.16/4.97 tff(func_def_964, type, bNF_collect: !>[X0: $tType, X1: $tType]:((set(fun(X0,set(X1)))) > fun(X0,set(X1)))).
% 26.16/4.97 tff(func_def_965, 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)))).
% 26.16/4.97 tff(func_def_966, type, bNF_Gr5436034075474128252omCard: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * X1) > X0)).
% 26.16/4.97 tff(func_def_967, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X0,X1) * fun(X0,X2)) > set(product_prod(X1,X2)))).
% 26.16/4.97 tff(func_def_968, type, bNF_Gr4221423524335903396lImage: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * fun(X0,X1)) > set(product_prod(X1,X1)))).
% 26.16/4.97 tff(func_def_969, type, bNF_Gr7122648621184425601vImage: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,X1)) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_970, type, bNF_Greatest_toCard: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1))) > fun(X0,X1))).
% 26.16/4.97 tff(func_def_971, type, bNF_Wellorder_Func: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(fun(X0,X1)))).
% 26.16/4.97 tff(func_def_972, type, bNF_We4925052301507509544nc_map: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set(X0) * fun(X1,X2) * fun(X0,X3)) > fun(fun(X3,X1),fun(X0,X2)))).
% 26.16/4.97 tff(func_def_973, type, bNF_Wellorder_bsqr: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(product_prod(X0,X0),product_prod(X0,X0))))).
% 26.16/4.97 tff(func_def_974, type, bNF_We2720479622203943262_image: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * fun(X0,X1)) > set(product_prod(X1,X1)))).
% 26.16/4.97 tff(func_def_975, type, bNF_We413866401316099525erIncl: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 26.16/4.97 tff(func_def_976, type, bNF_Wellorder_ordIso: !>[X0: $tType, X1: $tType]:(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))))).
% 26.16/4.97 tff(func_def_977, type, bNF_Wellorder_ordLeq: !>[X0: $tType, X1: $tType]:(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))))).
% 26.16/4.97 tff(func_def_978, type, bNF_We4044943003108391690rdLess: !>[X0: $tType, X1: $tType]:(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))))).
% 26.16/4.97 tff(func_def_979, type, bNF_We1388413361240627857o_max2: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_980, type, bNF_We6954850376910717587_minim: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_981, type, bNF_Wellorder_wo_suc: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_982, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:((fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1)) > nat)).
% 26.16/4.97 tff(func_def_983, type, basic_fsts: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > set(X0))).
% 26.16/4.97 tff(func_def_984, type, basic_snds: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > set(X1))).
% 26.16/4.97 tff(func_def_985, type, binomial: nat > fun(nat,nat)).
% 26.16/4.97 tff(func_def_986, type, gbinomial: !>[X0: $tType]:((X0) > fun(nat,X0))).
% 26.16/4.97 tff(func_def_987, type, bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool))).
% 26.16/4.97 tff(func_def_988, type, bit_and_not_num: (num * num) > option(num)).
% 26.16/4.97 tff(func_def_989, type, bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool))).
% 26.16/4.97 tff(func_def_990, type, bit_concat_bit: (nat * int * int) > int).
% 26.16/4.97 tff(func_def_991, type, bit_or_not_num_neg: (num * num) > num).
% 26.16/4.97 tff(func_def_992, type, bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool))).
% 26.16/4.97 tff(func_def_993, type, bit_ri4277139882892585799ns_not: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_994, type, bit_ri4674362597316999326ke_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 26.16/4.97 tff(func_def_995, type, bit_se5824344872417868541ns_and: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_996, type, bit_se4197421643247451524op_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 26.16/4.97 tff(func_def_997, type, bit_se8732182000553998342ip_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 26.16/4.97 tff(func_def_998, type, bit_se2239418461657761734s_mask: !>[X0: $tType]:((nat) > X0)).
% 26.16/4.97 tff(func_def_999, type, bit_se1065995026697491101ons_or: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1000, type, bit_se4730199178511100633sh_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 26.16/4.97 tff(func_def_1001, type, bit_se5668285175392031749et_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 26.16/4.97 tff(func_def_1002, type, bit_se2584673776208193580ke_bit: !>[X0: $tType]:((nat) > fun(X0,X0))).
% 26.16/4.97 tff(func_def_1003, type, bit_se2638667681897837118et_bit: !>[X0: $tType]:((nat * X0) > X0)).
% 26.16/4.97 tff(func_def_1004, type, bit_se5824344971392196577ns_xor: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1005, type, bit_se5641148757651400278ts_bit: !>[X0: $tType]:((X0) > fun(nat,bool))).
% 26.16/4.97 tff(func_def_1006, type, bit_se6407376104438227557le_bit: !>[X0: $tType]:((itself(X0) * nat) > bool)).
% 26.16/4.97 tff(func_def_1007, type, bit_take_bit_num: (nat * num) > option(num)).
% 26.16/4.97 tff(func_def_1008, type, bit_un7362597486090784418nd_num: (num * num) > option(num)).
% 26.16/4.97 tff(func_def_1009, type, bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool))).
% 26.16/4.97 tff(func_def_1010, type, bit_un2480387367778600638or_num: (num * num) > option(num)).
% 26.16/4.97 tff(func_def_1011, type, bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool))).
% 26.16/4.97 tff(func_def_1012, type, combb: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1) * fun(X2,X0)) > fun(X2,X1))).
% 26.16/4.97 tff(func_def_1013, type, combc: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * X1) > fun(X0,X2))).
% 26.16/4.97 tff(func_def_1014, type, combs: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * fun(X0,X1)) > fun(X0,X2))).
% 26.16/4.97 tff(func_def_1015, type, code_bit_cut_integer: code_integer > product_prod(code_integer,bool)).
% 26.16/4.97 tff(func_def_1016, type, code_divmod_abs: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 26.16/4.97 tff(func_def_1017, type, code_divmod_integer: (code_integer * code_integer) > product_prod(code_integer,code_integer)).
% 26.16/4.97 tff(func_def_1018, type, code_int_of_integer: code_integer > int).
% 26.16/4.97 tff(func_def_1019, type, code_integer_of_int: int > code_integer).
% 26.16/4.97 tff(func_def_1020, type, code_integer_of_nat: nat > code_integer).
% 26.16/4.97 tff(func_def_1021, type, code_integer_of_num: fun(num,code_integer)).
% 26.16/4.97 tff(func_def_1022, type, code_nat_of_integer: fun(code_integer,nat)).
% 26.16/4.97 tff(func_def_1023, type, code_negative: fun(num,code_integer)).
% 26.16/4.97 tff(func_def_1024, type, code_num_of_integer: code_integer > num).
% 26.16/4.97 tff(func_def_1025, type, code_positive: fun(num,code_integer)).
% 26.16/4.97 tff(func_def_1026, type, code_Target_negative: fun(num,int)).
% 26.16/4.97 tff(func_def_1027, type, code_Target_positive: fun(num,int)).
% 26.16/4.97 tff(func_def_1028, type, complete_Inf_Inf: !>[X0: $tType]:(fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1029, type, complete_Sup_Sup: !>[X0: $tType]:(fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1030, type, comple7512665784863727008ratesp: !>[X0: $tType]:((fun(X0,X0)) > fun(X0,bool))).
% 26.16/4.97 tff(func_def_1031, type, arg: complex > real).
% 26.16/4.97 tff(func_def_1032, type, cis: real > complex).
% 26.16/4.97 tff(func_def_1033, type, cnj: complex > complex).
% 26.16/4.97 tff(func_def_1034, type, complex2: (real * real) > complex).
% 26.16/4.97 tff(func_def_1035, type, im: complex > real).
% 26.16/4.97 tff(func_def_1036, type, re: complex > real).
% 26.16/4.97 tff(func_def_1037, type, csqrt: complex > complex).
% 26.16/4.97 tff(func_def_1038, type, imaginary_unit: complex).
% 26.16/4.97 tff(func_def_1039, type, rcis: (real * real) > complex).
% 26.16/4.97 tff(func_def_1040, type, counta4804993851260445106t_into: !>[X0: $tType]:(fun(set(X0),fun(nat,X0)))).
% 26.16/4.97 tff(func_def_1041, type, adjust_div: product_prod(int,int) > int).
% 26.16/4.97 tff(func_def_1042, type, adjust_mod: (int * int) > int).
% 26.16/4.97 tff(func_def_1043, type, divmod_nat: (nat * nat) > product_prod(nat,nat)).
% 26.16/4.97 tff(func_def_1044, type, unique8689654367752047608divmod: !>[X0: $tType]:((num * num) > product_prod(X0,X0))).
% 26.16/4.97 tff(func_def_1045, type, unique1321980374590559556d_step: !>[X0: $tType]:((num * product_prod(X0,X0)) > product_prod(X0,X0))).
% 26.16/4.97 tff(func_def_1046, type, equiv_proj: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1)) * X0) > set(X1))).
% 26.16/4.97 tff(func_def_1047, type, equiv_quotient: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1048, type, extended_eSuc: extended_enat > extended_enat).
% 26.16/4.97 tff(func_def_1049, type, extended_enat2: nat > extended_enat).
% 26.16/4.97 tff(func_def_1050, type, extended_case_enat: !>[X0: $tType]:((fun(nat,X0) * X0 * extended_enat) > X0)).
% 26.16/4.97 tff(func_def_1051, type, extend4730790105801354508finity: !>[X0: $tType]:(X0)).
% 26.16/4.97 tff(func_def_1052, type, comm_s3205402744901411588hammer: !>[X0: $tType]:((X0 * nat) > X0)).
% 26.16/4.97 tff(func_def_1053, type, semiring_char_0_fact: !>[X0: $tType]:((nat) > X0)).
% 26.16/4.97 tff(func_def_1054, type, inverse_inverse: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1055, type, at_bot: !>[X0: $tType]:(filter(X0))).
% 26.16/4.97 tff(func_def_1056, type, at_top: !>[X0: $tType]:(filter(X0))).
% 26.16/4.97 tff(func_def_1057, type, eventually: !>[X0: $tType]:(fun(fun(X0,bool),fun(filter(X0),bool)))).
% 26.16/4.97 tff(func_def_1058, type, abs_filter: !>[X0: $tType]:((fun(fun(X0,bool),bool)) > filter(X0))).
% 26.16/4.97 tff(func_def_1059, type, filtercomap: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1)) > filter(X0))).
% 26.16/4.97 tff(func_def_1060, type, filtermap: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(filter(X0),filter(X1))))).
% 26.16/4.97 tff(func_def_1061, type, finite5375528669736107172at_top: !>[X0: $tType]:((set(X0)) > filter(set(X0)))).
% 26.16/4.97 tff(func_def_1062, type, frequently: !>[X0: $tType]:(fun(fun(X0,bool),fun(filter(X0),bool)))).
% 26.16/4.97 tff(func_def_1063, type, map_filter_on: !>[X0: $tType, X1: $tType]:((set(X0)) > fun(fun(X0,X1),fun(filter(X0),filter(X1))))).
% 26.16/4.97 tff(func_def_1064, type, principal: !>[X0: $tType]:((set(X0)) > filter(X0))).
% 26.16/4.97 tff(func_def_1065, type, prod_filter: !>[X0: $tType, X1: $tType]:((filter(X0) * filter(X1)) > filter(product_prod(X0,X1)))).
% 26.16/4.97 tff(func_def_1066, type, rel_filter: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > fun(filter(X0),fun(filter(X1),bool)))).
% 26.16/4.97 tff(func_def_1067, type, finite_Fpow: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1068, type, finite_card: !>[X0: $tType]:(fun(set(X0),nat))).
% 26.16/4.97 tff(func_def_1069, type, finite_finite2: !>[X0: $tType]:(fun(set(X0),bool))).
% 26.16/4.97 tff(func_def_1070, type, finite_fold: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X1 * set(X0)) > X1)).
% 26.16/4.97 tff(func_def_1071, type, finite_folding_F: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X1) > fun(set(X0),X1))).
% 26.16/4.97 tff(func_def_1072, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1)) > fun(fun(X2,X0),fun(X2,X1)))).
% 26.16/4.97 tff(func_def_1073, type, fun_upd: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1) > fun(X0,X1))).
% 26.16/4.97 tff(func_def_1074, type, id: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1075, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,X1) * fun(X2,X3)) > fun(fun(X1,X2),fun(X0,X3)))).
% 26.16/4.97 tff(func_def_1076, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.97 tff(func_def_1077, type, fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat))))).
% 26.16/4.97 tff(func_def_1078, type, fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat))))).
% 26.16/4.97 tff(func_def_1079, type, fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat))))).
% 26.16/4.97 tff(func_def_1080, type, fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat))))).
% 26.16/4.97 tff(func_def_1081, type, fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat)))).
% 26.16/4.97 tff(func_def_1082, type, fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat)))).
% 26.16/4.97 tff(func_def_1083, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:(fun(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(fun(X1,X0),product_prod(set(product_prod(X1,X1)),set(product_prod(X1,X1))))))).
% 26.16/4.97 tff(func_def_1084, type, gcd_Gcd: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1085, type, bezw: (nat * nat) > product_prod(int,int)).
% 26.16/4.97 tff(func_def_1086, type, bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 26.16/4.97 tff(func_def_1087, type, gcd_gcd: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1088, type, gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 26.16/4.97 tff(func_def_1089, type, semiring_gcd_Gcd_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1090, type, abs_abs: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1091, type, minus_minus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1092, type, one_one: !>[X0: $tType]:(X0)).
% 26.16/4.97 tff(func_def_1093, type, plus_plus: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1094, type, sgn_sgn: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1095, type, times_times: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1096, type, uminus_uminus: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1097, type, zero_zero: !>[X0: $tType]:(X0)).
% 26.16/4.97 tff(func_def_1098, type, groups7311177749621191930dd_sum: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 26.16/4.97 tff(func_def_1099, type, groups1027152243600224163dd_sum: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 26.16/4.97 tff(func_def_1100, type, groups7121269368397514597t_prod: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(set(X0),X1)))).
% 26.16/4.97 tff(func_def_1101, type, groups1962203154675924110t_prod: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 26.16/4.97 tff(func_def_1102, type, groups4207007520872428315er_sum: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),fun(X1,fun(list(X0),X1))))).
% 26.16/4.97 tff(func_def_1103, type, groups8242544230860333062m_list: !>[X0: $tType]:(fun(list(X0),X0))).
% 26.16/4.97 tff(func_def_1104, type, groups5270119922927024881d_list: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1105, type, the: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1106, type, undefined: !>[X0: $tType]:(X0)).
% 26.16/4.97 tff(func_def_1107, type, if: !>[X0: $tType]:((bool * X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1108, type, complete_lattice_gfp: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1109, type, complete_lattice_lfp: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1110, type, infini527867602293511546merate: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 26.16/4.97 tff(func_def_1111, type, abs_Integ: fun(product_prod(nat,nat),int)).
% 26.16/4.97 tff(func_def_1112, type, rep_Integ: fun(int,product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_1113, type, intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 26.16/4.97 tff(func_def_1114, type, nat2: int > nat).
% 26.16/4.97 tff(func_def_1115, type, pcr_int: fun(product_prod(nat,nat),fun(int,bool))).
% 26.16/4.97 tff(func_def_1116, type, power_int: !>[X0: $tType]:((X0 * int) > X0)).
% 26.16/4.97 tff(func_def_1117, type, ring_1_Ints: !>[X0: $tType]:(set(X0))).
% 26.16/4.97 tff(func_def_1118, type, ring_1_of_int: !>[X0: $tType]:(fun(int,X0))).
% 26.16/4.97 tff(func_def_1119, type, inf_inf: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1120, type, sup_sup: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1121, type, lattices_Max: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1122, type, lattices_Min: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1123, type, lattic643756798349783984er_Max: !>[X0: $tType]:(fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1124, type, lattic643756798350308766er_Min: !>[X0: $tType]:(fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1125, type, lattices_ord_arg_min: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1126, type, lattic7623131987881927897min_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1127, type, lattic7752659483105999362nf_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1128, type, lattic1715443433743089157tice_F: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1129, type, lattic5882676163264333800up_fin: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1130, type, at_infinity: !>[X0: $tType]:(filter(X0))).
% 26.16/4.97 tff(func_def_1131, type, bleast: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1132, type, abort_Bleast: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1133, type, append: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1134, type, arg_min_list: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1135, type, arg_min_list_rel: !>[X0: $tType, X1: $tType]:(fun(product_prod(fun(X0,X1),list(X0)),fun(product_prod(fun(X0,X1),list(X0)),bool)))).
% 26.16/4.97 tff(func_def_1136, type, bind: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,list(X1))) > list(X1))).
% 26.16/4.97 tff(func_def_1137, type, butlast: !>[X0: $tType]:(fun(list(X0),list(X0)))).
% 26.16/4.97 tff(func_def_1138, type, concat: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 26.16/4.97 tff(func_def_1139, type, coset: !>[X0: $tType]:((list(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1140, type, count_list: !>[X0: $tType]:((list(X0)) > fun(X0,nat))).
% 26.16/4.97 tff(func_def_1141, type, drop: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1142, type, dropWhile: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1143, type, enumerate: !>[X0: $tType]:((nat * list(X0)) > list(product_prod(nat,X0)))).
% 26.16/4.97 tff(func_def_1144, type, extract: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > option(product_prod(list(X0),product_prod(X0,list(X0)))))).
% 26.16/4.97 tff(func_def_1145, type, filter2: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1146, type, find: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > option(X0))).
% 26.16/4.97 tff(func_def_1147, type, fold: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * list(X0)) > fun(X1,X1))).
% 26.16/4.97 tff(func_def_1148, type, foldl: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X0)) * X0 * list(X1)) > X0)).
% 26.16/4.97 tff(func_def_1149, type, foldr: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * list(X0)) > fun(X1,X1))).
% 26.16/4.97 tff(func_def_1150, type, gen_length: !>[X0: $tType]:((nat) > fun(list(X0),nat))).
% 26.16/4.97 tff(func_def_1151, type, insert: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1152, type, last: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1153, type, lenlex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1154, type, lex: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1155, type, lexn: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat) > set(product_prod(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1156, type, lexord: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1157, type, insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * list(X1)) > list(X1))).
% 26.16/4.97 tff(func_def_1158, type, sorted8670434370408473282of_set: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X1,X0) * set(X1)) > list(X1))).
% 26.16/4.97 tff(func_def_1159, type, linord329482645794927042rt_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1160, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(X0,fun(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1161, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1162, type, linord4507533701916653071of_set: !>[X0: $tType]:((set(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1163, type, cons: !>[X0: $tType]:(fun(X0,fun(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1164, type, nil: !>[X0: $tType]:(list(X0))).
% 26.16/4.97 tff(func_def_1165, type, case_list: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(list(X1),X0)) * list(X1)) > X0)).
% 26.16/4.97 tff(func_def_1166, type, hd: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1167, type, list_all2: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > fun(list(X0),fun(list(X1),bool)))).
% 26.16/4.97 tff(func_def_1168, type, map: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(list(X0),list(X1)))).
% 26.16/4.97 tff(func_def_1169, type, rec_list: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1)) > X0)).
% 26.16/4.97 tff(func_def_1170, type, set2: !>[X0: $tType]:(fun(list(X0),set(X0)))).
% 26.16/4.97 tff(func_def_1171, type, size_list: !>[X0: $tType]:((fun(X0,nat) * list(X0)) > nat)).
% 26.16/4.97 tff(func_def_1172, type, tl: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1173, type, list_update: !>[X0: $tType]:((list(X0) * nat * X0) > list(X0))).
% 26.16/4.97 tff(func_def_1174, type, listrel: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > set(product_prod(list(X0),list(X1))))).
% 26.16/4.97 tff(func_def_1175, type, listrel1: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1176, type, listrelp: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > fun(list(X0),fun(list(X1),bool)))).
% 26.16/4.97 tff(func_def_1177, type, lists: !>[X0: $tType]:((set(X0)) > set(list(X0)))).
% 26.16/4.97 tff(func_def_1178, type, map_filter: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * list(X0)) > list(X1))).
% 26.16/4.97 tff(func_def_1179, type, map_project: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * set(X0)) > set(X1))).
% 26.16/4.97 tff(func_def_1180, type, measures: !>[X0: $tType]:((list(fun(X0,nat))) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1181, type, min_list: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1182, type, n_lists: !>[X0: $tType]:((nat * list(X0)) > list(list(X0)))).
% 26.16/4.97 tff(func_def_1183, type, nth: !>[X0: $tType]:((list(X0)) > fun(nat,X0))).
% 26.16/4.97 tff(func_def_1184, type, nths: !>[X0: $tType]:((list(X0) * set(nat)) > list(X0))).
% 26.16/4.97 tff(func_def_1185, type, partition: !>[X0: $tType]:((fun(X0,bool)) > fun(list(X0),product_prod(list(X0),list(X0))))).
% 26.16/4.97 tff(func_def_1186, type, product: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 26.16/4.97 tff(func_def_1187, type, product_lists: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 26.16/4.97 tff(func_def_1188, type, remdups: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1189, type, remdups_adj: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1190, type, remove1: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1191, type, removeAll: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1192, type, replicate: !>[X0: $tType]:((nat * X0) > list(X0))).
% 26.16/4.97 tff(func_def_1193, type, rev: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1194, type, rotate: !>[X0: $tType]:((nat) > fun(list(X0),list(X0)))).
% 26.16/4.97 tff(func_def_1195, type, rotate1: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1196, type, set_Cons: !>[X0: $tType]:((set(X0) * set(list(X0))) > set(list(X0)))).
% 26.16/4.97 tff(func_def_1197, type, shuffles: !>[X0: $tType]:((list(X0) * list(X0)) > set(list(X0)))).
% 26.16/4.97 tff(func_def_1198, type, sorted_wrt_rel: !>[X0: $tType]:(fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),bool)))).
% 26.16/4.97 tff(func_def_1199, type, subseqs: !>[X0: $tType]:((list(X0)) > list(list(X0)))).
% 26.16/4.97 tff(func_def_1200, type, take: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1201, type, takeWhile: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1202, type, transpose: !>[X0: $tType]:((list(list(X0))) > list(list(X0)))).
% 26.16/4.97 tff(func_def_1203, type, union: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 26.16/4.97 tff(func_def_1204, type, upt: (nat * nat) > list(nat)).
% 26.16/4.97 tff(func_def_1205, type, upto: (int * int) > list(int)).
% 26.16/4.97 tff(func_def_1206, type, upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool))).
% 26.16/4.97 tff(func_def_1207, type, zip: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1)) > list(product_prod(X0,X1)))).
% 26.16/4.97 tff(func_def_1208, type, dom: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(X0))).
% 26.16/4.97 tff(func_def_1209, type, graph: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(product_prod(X0,X1)))).
% 26.16/4.97 tff(func_def_1210, type, map_add: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * fun(X0,option(X1))) > fun(X0,option(X1)))).
% 26.16/4.97 tff(func_def_1211, type, map_comp: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,option(X1)) * fun(X2,option(X0)) * X2) > option(X1))).
% 26.16/4.97 tff(func_def_1212, type, map_of: !>[X0: $tType, X1: $tType]:((list(product_prod(X0,X1))) > fun(X0,option(X1)))).
% 26.16/4.97 tff(func_def_1213, type, map_upds: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * list(X0) * list(X1)) > fun(X0,option(X1)))).
% 26.16/4.97 tff(func_def_1214, type, ran: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > set(X1))).
% 26.16/4.97 tff(func_def_1215, type, restrict_map: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * set(X0)) > fun(X0,option(X1)))).
% 26.16/4.97 tff(func_def_1216, type, suc: fun(nat,nat)).
% 26.16/4.97 tff(func_def_1217, type, compow: !>[X0: $tType]:(fun(nat,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1218, type, funpow: !>[X0: $tType]:(fun(nat,fun(fun(X0,X0),fun(X0,X0))))).
% 26.16/4.97 tff(func_def_1219, type, case_nat: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > X0)).
% 26.16/4.97 tff(func_def_1220, type, pred: nat > nat).
% 26.16/4.97 tff(func_def_1221, type, rec_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0))) > fun(nat,X0))).
% 26.16/4.97 tff(func_def_1222, type, rec_set_nat: !>[X0: $tType]:((X0 * fun(nat,fun(X0,X0)) * nat) > fun(X0,bool))).
% 26.16/4.97 tff(func_def_1223, type, semiring_1_Nats: !>[X0: $tType]:(set(X0))).
% 26.16/4.97 tff(func_def_1224, type, semiring_1_of_nat: !>[X0: $tType]:(fun(nat,X0))).
% 26.16/4.97 tff(func_def_1225, type, semiri8178284476397505188at_aux: !>[X0: $tType]:((fun(X0,X0) * nat * X0) > X0)).
% 26.16/4.97 tff(func_def_1226, type, size_size: !>[X0: $tType]:(fun(X0,nat))).
% 26.16/4.97 tff(func_def_1227, type, nat_list_decode: fun(nat,list(nat))).
% 26.16/4.97 tff(func_def_1228, type, nat_list_decode_rel: fun(nat,fun(nat,bool))).
% 26.16/4.97 tff(func_def_1229, type, nat_list_encode: fun(list(nat),nat)).
% 26.16/4.97 tff(func_def_1230, type, nat_list_encode_rel: fun(list(nat),fun(list(nat),bool))).
% 26.16/4.97 tff(func_def_1231, type, nat_prod_decode: fun(nat,product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_1232, type, nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_1233, type, nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool))).
% 26.16/4.97 tff(func_def_1234, type, nat_prod_encode: fun(product_prod(nat,nat),nat)).
% 26.16/4.97 tff(func_def_1235, type, nat_set_decode: nat > set(nat)).
% 26.16/4.97 tff(func_def_1236, type, nat_set_encode: fun(set(nat),nat)).
% 26.16/4.97 tff(func_def_1237, type, nat_triangle: nat > nat).
% 26.16/4.97 tff(func_def_1238, type, root: nat > fun(real,real)).
% 26.16/4.97 tff(func_def_1239, type, sqrt: fun(real,real)).
% 26.16/4.97 tff(func_def_1240, type, bitM: num > num).
% 26.16/4.97 tff(func_def_1241, type, inc: num > num).
% 26.16/4.97 tff(func_def_1242, type, neg_numeral_dbl: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1243, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1244, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1245, type, neg_numeral_sub: !>[X0: $tType]:((num * num) > X0)).
% 26.16/4.97 tff(func_def_1246, type, bit0: fun(num,num)).
% 26.16/4.97 tff(func_def_1247, type, bit1: fun(num,num)).
% 26.16/4.97 tff(func_def_1248, type, one2: num).
% 26.16/4.97 tff(func_def_1249, type, case_num: !>[X0: $tType]:((X0 * fun(num,X0) * fun(num,X0) * num) > X0)).
% 26.16/4.97 tff(func_def_1250, type, size_num: num > nat).
% 26.16/4.97 tff(func_def_1251, type, num_of_nat: nat > num).
% 26.16/4.97 tff(func_def_1252, type, numeral_numeral: !>[X0: $tType]:(fun(num,X0))).
% 26.16/4.97 tff(func_def_1253, type, pow: (num * num) > num).
% 26.16/4.97 tff(func_def_1254, type, pred_numeral: num > nat).
% 26.16/4.97 tff(func_def_1255, type, sqr: num > num).
% 26.16/4.97 tff(func_def_1256, type, none: !>[X0: $tType]:(option(X0))).
% 26.16/4.97 tff(func_def_1257, type, some: !>[X0: $tType]:(fun(X0,option(X0)))).
% 26.16/4.97 tff(func_def_1258, type, case_option: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * option(X1)) > X0)).
% 26.16/4.97 tff(func_def_1259, type, map_option: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(option(X0),option(X1)))).
% 26.16/4.97 tff(func_def_1260, type, rec_option: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0)) > fun(option(X1),X0))).
% 26.16/4.97 tff(func_def_1261, type, size_option: !>[X0: $tType]:((fun(X0,nat)) > fun(option(X0),nat))).
% 26.16/4.97 tff(func_def_1262, type, the2: !>[X0: $tType]:(fun(option(X0),X0))).
% 26.16/4.97 tff(func_def_1263, type, these: !>[X0: $tType]:((set(option(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1264, type, order_532582986084564980_cclfp: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1265, type, order_Above: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1266, type, order_AboveS: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1267, type, order_Under: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1268, type, order_UnderS: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1269, type, order_aboveS: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1270, type, order_relation_of: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1271, type, order_under: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1272, type, order_underS: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1273, type, bot_bot: !>[X0: $tType]:(X0)).
% 26.16/4.97 tff(func_def_1274, type, least: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > fun(fun(X0,bool),X0))).
% 26.16/4.97 tff(func_def_1275, type, max: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1276, type, min: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1277, type, ord_Least: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1278, type, ord_less: !>[X0: $tType]:(fun(X0,fun(X0,bool)))).
% 26.16/4.97 tff(func_def_1279, type, ord_less_eq: !>[X0: $tType]:(fun(X0,fun(X0,bool)))).
% 26.16/4.97 tff(func_def_1280, type, ord_max: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1281, type, ord_min: !>[X0: $tType]:(fun(X0,fun(X0,X0)))).
% 26.16/4.97 tff(func_def_1282, type, order_Greatest: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1283, type, order_mono: !>[X0: $tType, X1: $tType]:(fun(fun(X0,X1),bool))).
% 26.16/4.97 tff(func_def_1284, type, top_top: !>[X0: $tType]:(X0)).
% 26.16/4.97 tff(func_def_1285, type, partial_flat_lub: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1286, type, power_power: !>[X0: $tType]:(fun(X0,fun(nat,X0)))).
% 26.16/4.97 tff(func_def_1287, type, product_Pair: !>[X0: $tType, X1: $tType]:(fun(X0,fun(X1,product_prod(X0,X1))))).
% 26.16/4.97 tff(func_def_1288, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > set(product_prod(X0,X1)))).
% 26.16/4.97 tff(func_def_1289, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,X1)) > fun(product_prod(X0,X2),product_prod(X1,X2)))).
% 26.16/4.97 tff(func_def_1290, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))))).
% 26.16/4.97 tff(func_def_1291, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X0,X1) * fun(X2,X3)) > fun(product_prod(X0,X2),product_prod(X1,X3)))).
% 26.16/4.97 tff(func_def_1292, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * product_prod(X0,X1)) > X2)).
% 26.16/4.97 tff(func_def_1293, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2)) * product_prod(X0,X1)) > fun(X2,bool))).
% 26.16/4.97 tff(func_def_1294, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)))).
% 26.16/4.97 tff(func_def_1295, type, product_fst: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X0))).
% 26.16/4.97 tff(func_def_1296, type, product_snd: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),X1))).
% 26.16/4.97 tff(func_def_1297, type, product_swap: !>[X0: $tType, X1: $tType]:(fun(product_prod(X0,X1),product_prod(X1,X0)))).
% 26.16/4.97 tff(func_def_1298, type, product_product: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(product_prod(X0,X1)))).
% 26.16/4.97 tff(func_def_1299, 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))).
% 26.16/4.97 tff(func_def_1300, type, product_Abs_unit: fun(bool,product_unit)).
% 26.16/4.97 tff(func_def_1301, type, product_Rep_unit: fun(product_unit,bool)).
% 26.16/4.97 tff(func_def_1302, type, type2: !>[X0: $tType]:(itself(X0))).
% 26.16/4.97 tff(func_def_1303, type, abs_Rat: fun(product_prod(int,int),rat)).
% 26.16/4.97 tff(func_def_1304, type, fract: fun(int,fun(int,rat))).
% 26.16/4.97 tff(func_def_1305, type, frct: product_prod(int,int) > rat).
% 26.16/4.97 tff(func_def_1306, type, rep_Rat: fun(rat,product_prod(int,int))).
% 26.16/4.97 tff(func_def_1307, type, field_char_0_of_rat: !>[X0: $tType]:((rat) > X0)).
% 26.16/4.97 tff(func_def_1308, type, normalize: product_prod(int,int) > product_prod(int,int)).
% 26.16/4.97 tff(func_def_1309, type, of_int: int > rat).
% 26.16/4.97 tff(func_def_1310, type, pcr_rat: fun(product_prod(int,int),fun(rat,bool))).
% 26.16/4.97 tff(func_def_1311, type, quotient_of: rat > product_prod(int,int)).
% 26.16/4.97 tff(func_def_1312, type, ratrel: fun(product_prod(int,int),fun(product_prod(int,int),bool))).
% 26.16/4.97 tff(func_def_1313, type, real2: fun(nat,rat) > real).
% 26.16/4.97 tff(func_def_1314, type, pcr_real: fun(fun(nat,rat),fun(real,bool))).
% 26.16/4.97 tff(func_def_1315, type, positive: fun(real,bool)).
% 26.16/4.97 tff(func_def_1316, type, realrel: fun(fun(nat,rat),fun(fun(nat,rat),bool))).
% 26.16/4.97 tff(func_def_1317, type, rep_real: fun(real,fun(nat,rat))).
% 26.16/4.97 tff(func_def_1318, type, real_Vector_Reals: !>[X0: $tType]:(set(X0))).
% 26.16/4.97 tff(func_def_1319, type, real_Vector_dim: !>[X0: $tType]:((set(X0)) > nat)).
% 26.16/4.97 tff(func_def_1320, type, real_V557655796197034286t_dist: !>[X0: $tType]:((X0 * X0) > real)).
% 26.16/4.97 tff(func_def_1321, type, real_V7770717601297561774m_norm: !>[X0: $tType]:((X0) > real)).
% 26.16/4.97 tff(func_def_1322, type, real_Vector_of_real: !>[X0: $tType]:((real) > X0)).
% 26.16/4.97 tff(func_def_1323, type, real_V7696804695334737415tation: !>[X0: $tType]:((set(X0) * X0) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1324, type, real_V8093663219630862766scaleR: !>[X0: $tType]:((real * X0) > X0)).
% 26.16/4.97 tff(func_def_1325, type, real_Vector_span: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1326, type, domain: !>[X0: $tType, X1: $tType]:(fun(set(product_prod(X0,X1)),set(X0)))).
% 26.16/4.97 tff(func_def_1327, type, field2: !>[X0: $tType]:(fun(set(product_prod(X0,X0)),set(X0)))).
% 26.16/4.97 tff(func_def_1328, type, id2: !>[X0: $tType]:(set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1329, type, id_on: !>[X0: $tType]:((set(X0)) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1330, type, image: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1)) * set(X0)) > set(X1))).
% 26.16/4.97 tff(func_def_1331, type, range: !>[X0: $tType, X1: $tType]:(fun(set(product_prod(X0,X1)),set(X1)))).
% 26.16/4.97 tff(func_def_1332, type, rangep: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > fun(X1,bool))).
% 26.16/4.97 tff(func_def_1333, type, converse: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > set(product_prod(X1,X0)))).
% 26.16/4.97 tff(func_def_1334, type, conversep: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > fun(X1,fun(X0,bool)))).
% 26.16/4.97 tff(func_def_1335, type, inv_image: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * fun(X1,X0)) > set(product_prod(X1,X1)))).
% 26.16/4.97 tff(func_def_1336, type, relcomp: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X1)) * set(product_prod(X1,X2))) > set(product_prod(X0,X2)))).
% 26.16/4.97 tff(func_def_1337, type, divide_divide: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1338, type, dvd_dvd: !>[X0: $tType]:((X0 * X0) > bool)).
% 26.16/4.97 tff(func_def_1339, type, modulo_modulo: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1340, type, zero_neq_one_of_bool: !>[X0: $tType]:(fun(bool,X0))).
% 26.16/4.97 tff(func_def_1341, type, suminf: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 26.16/4.97 tff(func_def_1342, type, ball: !>[X0: $tType]:((set(X0)) > fun(fun(X0,bool),bool))).
% 26.16/4.97 tff(func_def_1343, type, collect: !>[X0: $tType]:(fun(fun(X0,bool),set(X0)))).
% 26.16/4.97 tff(func_def_1344, type, pow2: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1345, type, disjnt: !>[X0: $tType]:(fun(set(X0),fun(set(X0),bool)))).
% 26.16/4.97 tff(func_def_1346, type, filter3: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1347, type, image2: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > fun(set(X0),set(X1)))).
% 26.16/4.97 tff(func_def_1348, type, insert2: !>[X0: $tType]:(fun(X0,fun(set(X0),set(X0))))).
% 26.16/4.97 tff(func_def_1349, type, remove: !>[X0: $tType]:(fun(X0,fun(set(X0),set(X0))))).
% 26.16/4.97 tff(func_def_1350, type, the_elem: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1351, type, vimage: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X1)) > set(X0))).
% 26.16/4.97 tff(func_def_1352, type, set_fo6178422350223883121st_nat: !>[X0: $tType]:((fun(nat,fun(X0,X0)) * nat * nat * X0) > X0)).
% 26.16/4.97 tff(func_def_1353, 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)))).
% 26.16/4.97 tff(func_def_1354, type, set_ord_atLeast: !>[X0: $tType]:((X0) > set(X0))).
% 26.16/4.97 tff(func_def_1355, type, set_or1337092689740270186AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1356, type, set_or7035219750837199246ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1357, type, set_ord_atMost: !>[X0: $tType]:(fun(X0,set(X0)))).
% 26.16/4.97 tff(func_def_1358, type, set_ord_greaterThan: !>[X0: $tType]:(fun(X0,set(X0)))).
% 26.16/4.97 tff(func_def_1359, type, set_or3652927894154168847AtMost: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1360, type, set_or5935395276787703475ssThan: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1361, type, set_ord_lessThan: !>[X0: $tType]:(fun(X0,set(X0)))).
% 26.16/4.97 tff(func_def_1362, type, abort: !>[X0: $tType]:((literal * fun(product_unit,X0)) > X0)).
% 26.16/4.97 tff(func_def_1363, type, literal2: (bool * bool * bool * bool * bool * bool * bool * literal) > literal).
% 26.16/4.97 tff(func_def_1364, type, ascii_of: char > char).
% 26.16/4.97 tff(func_def_1365, type, char2: (bool * bool * bool * bool * bool * bool * bool * bool) > char).
% 26.16/4.97 tff(func_def_1366, type, comm_s6883823935334413003f_char: !>[X0: $tType]:(fun(char,X0))).
% 26.16/4.97 tff(func_def_1367, type, integer_of_char: char > code_integer).
% 26.16/4.97 tff(func_def_1368, type, unique5772411509450598832har_of: !>[X0: $tType]:(fun(X0,char))).
% 26.16/4.97 tff(func_def_1369, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(sum_sum(X0,X1)))).
% 26.16/4.97 tff(func_def_1370, type, topolo174197925503356063within: !>[X0: $tType]:((X0 * set(X0)) > filter(X0))).
% 26.16/4.97 tff(func_def_1371, type, topolo7230453075368039082e_nhds: !>[X0: $tType]:((X0) > filter(X0))).
% 26.16/4.97 tff(func_def_1372, type, topolo7806501430040627800ormity: !>[X0: $tType]:(filter(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1373, type, arccos: fun(real,real)).
% 26.16/4.97 tff(func_def_1374, type, arcosh: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1375, type, arcsin: fun(real,real)).
% 26.16/4.97 tff(func_def_1376, type, arctan: fun(real,real)).
% 26.16/4.97 tff(func_def_1377, type, arsinh: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1378, type, artanh: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1379, type, cos: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1380, type, cos_coeff: nat > real).
% 26.16/4.97 tff(func_def_1381, type, cosh: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1382, type, cot: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1383, type, diffs: !>[X0: $tType]:((fun(nat,X0)) > fun(nat,X0))).
% 26.16/4.97 tff(func_def_1384, type, exp: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1385, type, ln_ln: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1386, type, log: (real * real) > real).
% 26.16/4.97 tff(func_def_1387, type, pi: real).
% 26.16/4.97 tff(func_def_1388, type, powr: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1389, type, powr_real: (real * real) > real).
% 26.16/4.97 tff(func_def_1390, type, sin: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1391, type, sin_coeff: nat > real).
% 26.16/4.97 tff(func_def_1392, type, sinh: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1393, type, tan: !>[X0: $tType]:(fun(X0,X0))).
% 26.16/4.97 tff(func_def_1394, type, tanh: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1395, type, transitive_ntrancl: !>[X0: $tType]:((nat * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1396, type, transitive_rtrancl: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1397, type, transitive_trancl: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1398, type, vEBT_Leaf: (bool * bool) > vEBT_VEBT).
% 26.16/4.97 tff(func_def_1399, type, vEBT_Node: (option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.97 tff(func_def_1400, type, vEBT_rec_VEBT: !>[X0: $tType]:((fun(option(product_prod(nat,nat)),fun(nat,fun(list(product_prod(vEBT_VEBT,X0)),fun(vEBT_VEBT,fun(X0,X0))))) * fun(bool,fun(bool,X0)) * vEBT_VEBT) > X0)).
% 26.16/4.97 tff(func_def_1401, type, vEBT_size_VEBT: fun(vEBT_VEBT,nat)).
% 26.16/4.97 tff(func_def_1402, type, vEBT_V8194947554948674370ptions: fun(vEBT_VEBT,fun(nat,bool))).
% 26.16/4.97 tff(func_def_1403, type, vEBT_VEBT_elim_dead: (vEBT_VEBT * extended_enat) > vEBT_VEBT).
% 26.16/4.97 tff(func_def_1404, type, vEBT_V312737461966249ad_rel: fun(product_prod(vEBT_VEBT,extended_enat),fun(product_prod(vEBT_VEBT,extended_enat),bool))).
% 26.16/4.97 tff(func_def_1405, type, vEBT_VEBT_high: (nat * nat) > nat).
% 26.16/4.97 tff(func_def_1406, type, vEBT_VEBT_low: (nat * nat) > nat).
% 26.16/4.97 tff(func_def_1407, type, vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1408, type, vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1409, type, vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1410, type, vEBT_set_vebt: vEBT_VEBT > set(nat)).
% 26.16/4.97 tff(func_def_1411, type, vEBT_vebt_buildup: nat > vEBT_VEBT).
% 26.16/4.97 tff(func_def_1412, type, vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,bool))).
% 26.16/4.97 tff(func_def_1413, type, vEBT_vebt_delete: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.97 tff(func_def_1414, type, vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1415, type, vEBT_VEBT_insert: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.97 tff(func_def_1416, type, vEBT_VEBT_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1417, type, vEBT_vebt_insert: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.97 tff(func_def_1418, type, vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1419, type, vEBT_VEBT_bit_concat: (nat * nat * nat) > nat).
% 26.16/4.97 tff(func_def_1420, type, vEBT_VEBT_minNull: vEBT_VEBT > bool).
% 26.16/4.97 tff(func_def_1421, type, vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool))).
% 26.16/4.97 tff(func_def_1422, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat)).
% 26.16/4.97 tff(func_def_1423, type, vEBT_vebt_member: vEBT_VEBT > fun(nat,bool)).
% 26.16/4.97 tff(func_def_1424, type, vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1425, type, vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat)))).
% 26.16/4.97 tff(func_def_1426, type, vEBT_VEBT_greater: (option(nat) * option(nat)) > bool).
% 26.16/4.97 tff(func_def_1427, type, vEBT_VEBT_less: (option(nat) * option(nat)) > bool).
% 26.16/4.97 tff(func_def_1428, type, vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat)))).
% 26.16/4.97 tff(func_def_1429, type, vEBT_V2048590022279873568_shift: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > fun(option(X0),fun(option(X0),option(X0))))).
% 26.16/4.97 tff(func_def_1430, type, vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat)))).
% 26.16/4.97 tff(func_def_1431, type, vEBT_vebt_maxt: vEBT_VEBT > option(nat)).
% 26.16/4.97 tff(func_def_1432, type, vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool))).
% 26.16/4.97 tff(func_def_1433, type, vEBT_vebt_mint: vEBT_VEBT > option(nat)).
% 26.16/4.97 tff(func_def_1434, type, vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool))).
% 26.16/4.97 tff(func_def_1435, type, vEBT_vebt_pred: (vEBT_VEBT * nat) > option(nat)).
% 26.16/4.97 tff(func_def_1436, type, vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1437, type, vEBT_vebt_succ: (vEBT_VEBT * nat) > option(nat)).
% 26.16/4.97 tff(func_def_1438, type, vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool))).
% 26.16/4.97 tff(func_def_1439, type, finite_psubset: !>[X0: $tType]:(set(product_prod(set(X0),set(X0))))).
% 26.16/4.97 tff(func_def_1440, type, less_than: set(product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_1441, type, lex_prod: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))))).
% 26.16/4.97 tff(func_def_1442, type, max_ext: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 26.16/4.97 tff(func_def_1443, type, max_extp: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > fun(set(X0),fun(set(X0),bool)))).
% 26.16/4.97 tff(func_def_1444, type, measure: !>[X0: $tType]:((fun(X0,nat)) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1445, type, min_ext: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(product_prod(set(X0),set(X0))))).
% 26.16/4.97 tff(func_def_1446, type, mlex_prod: !>[X0: $tType]:((fun(X0,nat) * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 26.16/4.97 tff(func_def_1447, type, pred_nat: set(product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_1448, type, same_fst: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * fun(X0,set(product_prod(X1,X1)))) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))))).
% 26.16/4.97 tff(func_def_1449, type, chains: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1450, type, chains2: !>[X0: $tType]:((set(set(X0))) > set(set(set(X0))))).
% 26.16/4.97 tff(func_def_1451, type, init_seg_of: !>[X0: $tType]:(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))))).
% 26.16/4.97 tff(func_def_1452, type, pred_chain: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool))) > fun(set(X0),bool))).
% 26.16/4.97 tff(func_def_1453, type, aa: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0) > X1)).
% 26.16/4.97 tff(func_def_1454, type, fAll: !>[X0: $tType]:(fun(fun(X0,bool),bool))).
% 26.16/4.97 tff(func_def_1455, type, fEx: !>[X0: $tType]:(fun(fun(X0,bool),bool))).
% 26.16/4.97 tff(func_def_1456, type, fFalse: bool).
% 26.16/4.97 tff(func_def_1457, type, fNot: fun(bool,bool)).
% 26.16/4.97 tff(func_def_1458, type, fTrue: bool).
% 26.16/4.97 tff(func_def_1459, type, fconj: (bool * bool) > bool).
% 26.16/4.97 tff(func_def_1460, type, fdisj: (bool * bool) > bool).
% 26.16/4.97 tff(func_def_1461, type, fequal: !>[X0: $tType]:(fun(X0,fun(X0,bool)))).
% 26.16/4.97 tff(func_def_1462, type, fimplies: fun(bool,fun(bool,bool))).
% 26.16/4.97 tff(func_def_1463, type, member: !>[X0: $tType]:(fun(X0,fun(set(X0),bool)))).
% 26.16/4.97 tff(func_def_1464, type, deg: nat).
% 26.16/4.97 tff(func_def_1465, type, info: option(product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_1466, type, m: nat).
% 26.16/4.97 tff(func_def_1467, type, ma: nat).
% 26.16/4.97 tff(func_def_1468, type, mi: nat).
% 26.16/4.97 tff(func_def_1469, type, na: nat).
% 26.16/4.97 tff(func_def_1470, type, sa: vEBT_VEBT).
% 26.16/4.97 tff(func_def_1471, type, summary: vEBT_VEBT).
% 26.16/4.97 tff(func_def_1472, type, summary2: vEBT_VEBT).
% 26.16/4.97 tff(func_def_1473, type, treeList: list(vEBT_VEBT)).
% 26.16/4.97 tff(func_def_1474, type, treeList2: list(vEBT_VEBT)).
% 26.16/4.97 tff(func_def_1475, type, sK684: list(vEBT_VEBT)).
% 26.16/4.97 tff(func_def_1476, type, sK685: vEBT_VEBT).
% 26.16/4.97 tff(func_def_1477, type, sK686: option(product_prod(nat,nat))).
% 26.16/4.97 tff(func_def_1478, type, sK687: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1479, type, sK688: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1480, type, sK689: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1481, type, sK690: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1482, type, sK691: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1483, type, sK692: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1484, type, sK693: fun(nat,rat) > rat).
% 26.16/4.97 tff(func_def_1485, type, sK694: fun(nat,rat) > nat).
% 26.16/4.97 tff(func_def_1486, type, sK695: fun(nat,rat) > rat).
% 26.16/4.97 tff(func_def_1487, type, sK696: fun(nat,rat) > nat).
% 26.16/4.97 tff(func_def_1488, type, sK697: fun(nat,rat) > rat).
% 26.16/4.97 tff(func_def_1489, type, sK698: (fun(nat,rat) * nat) > nat).
% 26.16/4.97 tff(func_def_1490, type, sK699: (fun(nat,rat) * rat) > nat).
% 26.16/4.97 tff(func_def_1491, type, sK700: (fun(nat,rat) * rat * nat) > nat).
% 26.16/4.97 tff(func_def_1492, type, sK701: fun(nat,rat) > rat).
% 26.16/4.97 tff(func_def_1493, type, sK702: fun(nat,rat) > nat).
% 26.16/4.97 tff(func_def_1494, type, sK703: !>[X0: $tType]:((fun(product_prod(X0,X0),bool) * real) > X0)).
% 26.16/4.97 tff(func_def_1495, type, sK704: !>[X0: $tType]:((fun(product_prod(X0,X0),bool) * real) > X0)).
% 26.16/4.97 tff(func_def_1496, type, sK705: !>[X0: $tType]:((fun(product_prod(X0,X0),bool)) > real)).
% 26.16/4.97 tff(func_def_1497, type, sK706: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1498, type, sK707: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1499, type, sK708: !>[X0: $tType]:((X0) > nat)).
% 26.16/4.97 tff(func_def_1500, type, sK709: !>[X0: $tType]:((X0) > fun(nat,set(X0)))).
% 26.16/4.97 tff(func_def_1501, type, sK710: !>[X0: $tType]:((X0) > int)).
% 26.16/4.97 tff(func_def_1502, type, sK711: !>[X0: $tType]:((X0) > nat)).
% 26.16/4.97 tff(func_def_1503, type, sK712: !>[X0: $tType]:((X0) > int)).
% 26.16/4.97 tff(func_def_1504, type, sK713: !>[X0: $tType]:((X0) > int)).
% 26.16/4.97 tff(func_def_1505, type, sK714: !>[X0: $tType]:((X0) > fun(nat,set(X0)))).
% 26.16/4.97 tff(func_def_1506, type, sK715: !>[X0: $tType]:((X0 * set(X0)) > nat)).
% 26.16/4.97 tff(func_def_1507, type, sK716: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1508, type, sK717: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1509, type, sK718: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1510, type, sK719: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1511, type, sK720: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1512, type, sK721: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1513, type, sK722: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1514, type, sK723: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1515, type, sK724: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1516, type, sK725: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1517, type, sK726: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1518, type, sK727: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1519, type, sK728: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1520, type, sK729: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1521, type, sK730: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1522, type, sK731: !>[X0: $tType]:((X0 * X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1523, type, sK732: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1524, type, sK733: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1525, type, sK734: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1526, type, sK735: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1527, type, sK736: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1528, type, sK737: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1529, type, sK738: !>[X0: $tType]:((set(X0)) > real)).
% 26.16/4.97 tff(func_def_1530, type, sK739: !>[X0: $tType]:((set(X0) * real) > set(X0))).
% 26.16/4.97 tff(func_def_1531, type, sK740: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1532, type, sK741: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1533, type, sK742: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1534, type, sK743: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1535, type, sK744: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1536, type, sK745: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1537, type, sK746: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1538, type, sK747: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1539, type, sK748: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1540, type, sK749: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1541, type, sK750: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1542, type, sK751: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1543, type, sK752: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1544, type, sK753: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1545, type, sK754: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1546, type, sK755: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1547, type, sK756: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 26.16/4.97 tff(func_def_1548, type, sK757: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 26.16/4.97 tff(func_def_1549, type, sK758: !>[X0: $tType]:((X0 * fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1550, type, sK759: !>[X0: $tType]:((X0 * fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1551, type, sK760: !>[X0: $tType]:((X0 * fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1552, type, sK761: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 26.16/4.97 tff(func_def_1553, type, sK762: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 26.16/4.97 tff(func_def_1554, type, sK763: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 26.16/4.97 tff(func_def_1555, type, sK764: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 26.16/4.97 tff(func_def_1556, type, sK765: !>[X0: $tType]:((fun(product_prod(X0,X0),bool)) > fun(product_prod(X0,X0),bool))).
% 26.16/4.97 tff(func_def_1557, type, sK766: !>[X0: $tType]:((fun(product_prod(X0,X0),bool)) > fun(product_prod(X0,X0),bool))).
% 26.16/4.97 tff(func_def_1558, type, sK767: !>[X0: $tType]:((set(X0)) > fun(product_prod(X0,X0),bool))).
% 26.16/4.97 tff(func_def_1559, type, sK768: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1560, type, sK769: !>[X0: $tType]:((set(X0) * fun(product_prod(X0,X0),bool)) > set(X0))).
% 26.16/4.97 tff(func_def_1561, type, sK770: !>[X0: $tType]:((set(X0) * fun(product_prod(X0,X0),bool) * X0) > X0)).
% 26.16/4.97 tff(func_def_1562, type, sK771: !>[X0: $tType]:((fun(nat,X0)) > fun(product_prod(X0,X0),bool))).
% 26.16/4.97 tff(func_def_1563, type, sK772: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1564, type, sK773: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1565, type, sK774: !>[X0: $tType]:((fun(nat,X0) * fun(product_prod(X0,X0),bool)) > nat)).
% 26.16/4.97 tff(func_def_1566, type, sK775: !>[X0: $tType]:((real * fun(nat,X0) * nat) > real)).
% 26.16/4.97 tff(func_def_1567, type, sK776: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1568, type, sK777: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1569, type, sK778: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1570, type, sK779: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1571, type, sK780: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1572, type, sK781: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1573, type, sK782: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1574, type, sK783: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1575, type, sK784: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1576, type, sK785: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1577, type, sK786: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1578, type, sK787: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1579, type, sK788: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1580, type, sK789: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1581, type, sK790: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1582, type, sK791: !>[X0: $tType]:((set(X0)) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1583, type, sK792: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1584, type, sK793: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1585, type, sK794: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1586, type, sK795: !>[X0: $tType]:((set(X0) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1587, type, sK796: !>[X0: $tType]:((set(X0) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1588, type, sK797: !>[X0: $tType]:((set(X0) * X0) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1589, type, sK798: !>[X0: $tType]:((set(X0) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1590, type, sK799: !>[X0: $tType]:((set(X0) * X0) > fun(X0,real))).
% 26.16/4.97 tff(func_def_1591, type, sK800: !>[X0: $tType]:((X0 * set(X0) * X0) > real)).
% 26.16/4.97 tff(func_def_1592, type, sK801: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > real)).
% 26.16/4.97 tff(func_def_1593, type, sK802: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1594, type, sK803: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1595, type, sK804: !>[X0: $tType]:((X0 * set(X0) * X0) > real)).
% 26.16/4.97 tff(func_def_1596, type, sK805: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1597, type, sK806: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1598, type, sK807: !>[X0: $tType]:((X0 * X0 * set(X0)) > real)).
% 26.16/4.97 tff(func_def_1599, type, sK808: !>[X0: $tType]:((X0) > nat)).
% 26.16/4.97 tff(func_def_1600, type, sK809: !>[X0: $tType]:((fun(int,bool) * X0) > int)).
% 26.16/4.97 tff(func_def_1601, type, sK810: !>[X0: $tType]:((fun(int,bool) * X0) > int)).
% 26.16/4.97 tff(func_def_1602, type, sK811: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1603, type, sK812: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1604, type, sK813: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1605, type, sK814: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1606, type, sK815: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1607, type, sK816: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1608, type, sK817: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1609, type, sK818: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1610, type, sK819: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 26.16/4.97 tff(func_def_1611, type, sK820: !>[X0: $tType]:((fun(nat,complex) * nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1612, type, sK821: fun(nat,complex) > nat).
% 26.16/4.97 tff(func_def_1613, type, sK822: fun(nat,complex) > nat).
% 26.16/4.97 tff(func_def_1614, type, sK823: !>[X0: $tType]:((fun(nat,real) * nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1615, type, sK824: !>[X0: $tType]:((real * nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1616, type, sK825: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 26.16/4.97 tff(func_def_1617, type, sK826: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1618, type, sK827: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1619, type, sK828: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1620, type, sK829: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1621, type, sK830: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1622, type, sK831: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1623, type, sK832: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1624, type, sK833: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1625, type, sK834: !>[X0: $tType]:((fun(nat,X0) * real * X0) > nat)).
% 26.16/4.97 tff(func_def_1626, type, sK835: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1627, type, sK836: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 26.16/4.97 tff(func_def_1628, type, sK837: !>[X0: $tType]:((fun(nat,X0) * real * nat) > nat)).
% 26.16/4.97 tff(func_def_1629, type, sK838: !>[X0: $tType]:((fun(nat,X0)) > real)).
% 26.16/4.97 tff(func_def_1630, type, sK839: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1631, type, sK840: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1632, type, sK841: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1633, type, sK842: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1634, type, sK843: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1635, type, sK844: !>[X0: $tType]:((fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1636, type, sK845: !>[X0: $tType]:((real * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1637, type, sK846: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 26.16/4.97 tff(func_def_1638, type, sK847: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 26.16/4.97 tff(func_def_1639, type, sK848: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1640, type, sK849: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1641, type, sK850: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 26.16/4.97 tff(func_def_1642, type, sK851: !>[X0: $tType]:((fun(nat,X0) * X0) > real)).
% 26.16/4.97 tff(func_def_1643, type, sK852: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 26.16/4.97 tff(func_def_1644, type, sK853: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 26.16/4.97 tff(func_def_1645, type, sK854: !>[X0: $tType]:((fun(nat,X0) * X0 * real) > nat)).
% 26.16/4.97 tff(func_def_1646, type, sK855: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1647, type, sK856: !>[X0: $tType]:((real * fun(nat,X0) * real) > nat)).
% 26.16/4.97 tff(func_def_1648, type, sK857: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1649, type, sK858: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1650, type, sK859: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.97 tff(func_def_1651, type, sK860: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1652, type, sK861: !>[X0: $tType]:((set(X0) * set(X0)) > nat)).
% 26.16/4.97 tff(func_def_1653, type, sK862: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1654, type, sK863: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1655, type, sK864: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1656, type, sK865: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1657, type, sK866: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1658, type, sK867: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1659, type, sK868: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1660, type, sK869: !>[X0: $tType]:((X0) > nat)).
% 26.16/4.97 tff(func_def_1661, type, sK870: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1662, type, sK871: !>[X0: $tType]:((fun(X0,bool)) > bool)).
% 26.16/4.97 tff(func_def_1663, type, sK872: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1664, type, sK873: !>[X0: $tType]:((X0 * X0) > nat)).
% 26.16/4.97 tff(func_def_1665, type, sK874: !>[X0: $tType]:((nat * X0) > X0)).
% 26.16/4.97 tff(func_def_1666, type, sK875: !>[X0: $tType]:((X0 * X0) > nat)).
% 26.16/4.97 tff(func_def_1667, type, sK876: !>[X0: $tType]:((X0) > nat)).
% 26.16/4.97 tff(func_def_1668, type, sK877: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.97 tff(func_def_1669, type, sK878: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1670, type, sK879: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1671, type, sK880: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1672, type, sK881: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1673, type, sK882: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1674, type, sK883: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1675, type, sK884: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1676, type, sK885: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1677, type, sK886: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1678, type, sK887: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1679, type, sK888: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1680, type, sK889: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1681, type, sK890: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 26.16/4.97 tff(func_def_1682, type, sK891: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 26.16/4.97 tff(func_def_1683, type, sK892: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 26.16/4.97 tff(func_def_1684, type, sK893: !>[X0: $tType]:((fun(real,X0) * real * real) > real)).
% 26.16/4.97 tff(func_def_1685, type, sK894: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 26.16/4.97 tff(func_def_1686, type, sK895: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 26.16/4.97 tff(func_def_1687, type, sK896: !>[X0: $tType]:((fun(real,X0) * real * real * X0) > real)).
% 26.16/4.97 tff(func_def_1688, type, sK897: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 26.16/4.97 tff(func_def_1689, type, sK898: !>[X0: $tType]:((fun(real,X0) * real * real) > X0)).
% 26.16/4.97 tff(func_def_1690, type, sK899: !>[X0: $tType]:((fun(real,X0) * real * real) > real)).
% 26.16/4.97 tff(func_def_1691, type, sK900: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 26.16/4.97 tff(func_def_1692, type, sK901: !>[X0: $tType]:((real * real * fun(real,X0)) > X0)).
% 26.16/4.97 tff(func_def_1693, type, sK902: !>[X0: $tType]:((real * real * fun(real,X0)) > real)).
% 26.16/4.97 tff(func_def_1694, type, sK903: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1695, type, sK904: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > nat)).
% 26.16/4.97 tff(func_def_1696, type, sK905: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > nat)).
% 26.16/4.97 tff(func_def_1697, type, sK906: !>[X0: $tType]:((nat * fun(nat,X0) * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1698, type, sK907: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.97 tff(func_def_1699, type, sK908: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1700, type, sK909: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.97 tff(func_def_1701, type, sK910: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1702, type, sK911: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1703, type, sK912: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1704, type, sK913: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1705, type, sK914: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1706, type, sK915: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > fun(nat,X0))).
% 26.16/4.97 tff(func_def_1707, type, sK916: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > fun(nat,X0))).
% 26.16/4.97 tff(func_def_1708, type, sK917: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1709, type, sK918: !>[X0: $tType]:((nat * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1710, type, sK919: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1711, type, sK920: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1712, type, sK921: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1713, type, sK922: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1714, type, sK923: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1715, type, sK924: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1716, type, sK925: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1717, type, sK926: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1718, type, sK927: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1719, type, sK928: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1720, type, sK929: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1721, type, sK930: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1722, type, sK931: !>[X0: $tType]:((fun(X0,bool) * X0 * X0) > X0)).
% 26.16/4.97 tff(func_def_1723, type, sK932: !>[X0: $tType]:((X0 * X0 * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1724, type, sK933: !>[X0: $tType]:((nat * fun(nat,X0) * X0) > nat)).
% 26.16/4.97 tff(func_def_1725, type, sK934: !>[X0: $tType]:(set(X0))).
% 26.16/4.97 tff(func_def_1726, type, sK935: !>[X0: $tType]:((set(X0) * fun(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1727, type, sK936: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1728, type, sK937: !>[X0: $tType]:((fun(X0,X0) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1729, type, sK938: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1730, type, sK939: !>[X0: $tType]:((fun(X0,X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1731, type, sK940: !>[X0: $tType]:((fun(X0,X0) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1732, type, sK941: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1733, type, sK942: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1734, type, sK943: !>[X0: $tType]:((fun(X0,bool) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1735, type, sK944: !>[X0: $tType]:((fun(X0,X0) * fun(X0,bool) * X0) > X0)).
% 26.16/4.97 tff(func_def_1736, type, sK945: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1737, type, sK946: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1738, type, sK947: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1739, type, sK948: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1740, type, sK949: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1741, type, sK950: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1742, type, sK951: !>[X0: $tType]:((X0 * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1743, type, sK952: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1744, type, sK953: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1745, type, sK954: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1746, type, sK955: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.97 tff(func_def_1747, type, sK956: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1748, type, sK957: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1749, type, sK958: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1750, type, sK959: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1751, type, sK960: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1752, type, sK961: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1753, type, sK962: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1754, type, sK963: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1755, type, sK964: !>[X0: $tType]:((set(X0) * set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1756, type, sK965: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1757, type, sK966: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1758, type, sK967: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1759, type, sK968: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1760, type, sK969: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1761, type, sK970: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1762, type, sK971: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1763, type, sK972: !>[X0: $tType]:((set(X0)) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1764, type, sK973: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1765, type, sK974: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1766, type, sK975: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1767, type, sK976: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1768, type, sK977: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1769, type, sK978: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1770, type, sK979: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1771, type, sK980: !>[X0: $tType]:((set(X0) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1772, type, sK981: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1773, type, sK982: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1774, type, sK983: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 26.16/4.97 tff(func_def_1775, type, sK984: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.97 tff(func_def_1776, type, sK985: !>[X0: $tType]:((fun(nat,X0) * X0) > set(X0))).
% 26.16/4.97 tff(func_def_1777, type, sK986: !>[X0: $tType]:((fun(nat,X0) * X0 * nat) > nat)).
% 26.16/4.97 tff(func_def_1778, type, sK987: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 26.16/4.97 tff(func_def_1779, type, sK988: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1780, type, sK989: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1781, type, sK990: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1782, type, sK991: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1783, type, sK992: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1784, type, sK993: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1785, type, sK994: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1786, type, sK995: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1787, type, sK996: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1788, type, sK997: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1789, type, sK998: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1790, type, sK999: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.97 tff(func_def_1791, type, sK1000: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1792, type, sK1001: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1793, type, sK1002: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1794, type, sK1003: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1795, type, sK1004: !>[X0: $tType]:((fun(X0,X0) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1796, type, sK1005: !>[X0: $tType]:((fun(X0,bool)) > set(X0))).
% 26.16/4.97 tff(func_def_1797, type, sK1006: !>[X0: $tType]:((fun(X0,X0) * fun(X0,bool)) > X0)).
% 26.16/4.97 tff(func_def_1798, type, sK1007: !>[X0: $tType]:((fun(X0,bool)) > set(X0))).
% 26.16/4.97 tff(func_def_1799, type, sK1008: !>[X0: $tType]:((fun(X0,X0) * fun(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1800, type, sK1009: !>[X0: $tType]:((fun(X0,X0) * fun(X0,X0)) > X0)).
% 26.16/4.97 tff(func_def_1801, type, sK1010: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1802, type, sK1011: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1803, type, sK1012: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1804, type, sK1013: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1805, type, sK1014: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1806, type, sK1015: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1807, type, sK1016: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1808, type, sK1017: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1809, type, sK1018: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1810, type, sK1019: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1811, type, sK1020: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1812, type, sK1021: !>[X0: $tType]:((fun(X0,X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1813, type, sK1022: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1814, type, sK1023: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1815, type, sK1024: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),X0)) > set(X0))).
% 26.16/4.97 tff(func_def_1816, type, sK1025: !>[X0: $tType]:((set(set(X0)) * set(X0)) > fun(set(X0),X0))).
% 26.16/4.97 tff(func_def_1817, type, sK1026: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1818, type, sK1027: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1819, type, sK1028: !>[X0: $tType]:((X0) > nat)).
% 26.16/4.97 tff(func_def_1820, type, sK1029: !>[X0: $tType]:((fun(X0,bool)) > nat)).
% 26.16/4.97 tff(func_def_1821, type, sK1030: !>[X0: $tType]:((set(nat) * fun(nat,X0) * fun(nat,X0)) > nat)).
% 26.16/4.97 tff(func_def_1822, type, sK1031: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1823, type, sK1032: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1824, type, sK1033: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.97 tff(func_def_1825, type, sK1034: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1826, type, sK1035: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1827, type, sK1036: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1828, type, sK1037: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1829, type, sK1038: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.97 tff(func_def_1830, type, sK1039: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1831, type, sK1040: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1832, type, sK1041: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1833, type, sK1042: !>[X0: $tType]:((X0 * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1834, type, sK1043: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1835, type, sK1044: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1836, type, sK1045: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_1837, type, sK1046: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_1838, type, sK1047: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1839, type, sK1048: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1840, type, sK1049: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1841, type, sK1050: !>[X0: $tType]:((set(X0) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1842, type, sK1051: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1843, type, sK1052: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1844, type, sK1053: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1845, type, sK1054: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1846, type, sK1055: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1847, type, sK1056: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1848, type, sK1057: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1849, type, sK1058: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1850, type, sK1059: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1851, type, sK1060: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1852, type, sK1061: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1853, type, sK1062: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1854, type, sK1063: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1855, type, sK1064: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1856, type, sK1065: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1857, type, sK1066: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1858, type, sK1067: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1859, type, sK1068: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1860, type, sK1069: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1861, type, sK1070: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1862, type, sK1071: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1863, type, sK1072: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1864, type, sK1073: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1865, type, sK1074: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1866, type, sK1075: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1867, type, sK1076: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_1868, type, sK1077: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1869, type, sK1078: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1870, type, sK1079: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1871, type, sK1080: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1872, type, sK1081: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_1873, type, sK1082: !>[X0: $tType]:((set(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_1874, type, sK1083: !>[X0: $tType]:((set(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_1875, type, sK1084: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1876, type, sK1085: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1877, type, sK1086: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1878, type, sK1087: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1879, type, sK1088: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1880, type, sK1089: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1881, type, sK1090: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1882, type, sK1091: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_1883, type, sK1092: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1884, type, sK1093: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_1885, type, sK1094: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1886, type, sK1095: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_1887, type, sK1096: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.98 tff(func_def_1888, type, sK1097: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.98 tff(func_def_1889, type, sK1098: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.98 tff(func_def_1890, type, sK1099: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.98 tff(func_def_1891, type, sK1100: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1892, type, sK1101: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1893, type, sK1102: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1894, type, sK1103: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1895, type, sK1104: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1896, type, sK1105: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1897, type, sK1106: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1898, type, sK1107: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1899, type, sK1108: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1900, type, sK1109: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1901, type, sK1110: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1902, type, sK1111: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1903, type, sK1112: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1904, type, sK1113: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1905, type, sK1114: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1906, type, sK1115: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1907, type, sK1116: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1908, type, sK1117: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_1909, type, sK1118: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_1910, type, sK1119: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_1911, type, sK1120: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_1912, type, sK1121: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1913, type, sK1122: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1914, type, sK1123: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1915, type, sK1124: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1916, type, sK1125: !>[X0: $tType]:((X0 * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_1917, type, sK1126: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1918, type, sK1127: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1919, type, sK1128: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1920, type, sK1129: !>[X0: $tType]:((fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_1921, type, sK1130: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_1922, type, sK1131: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_1923, type, sK1132: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1924, type, sK1133: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_1925, type, sK1134: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_1926, type, sK1135: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1927, type, sK1136: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1928, type, sK1137: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1929, type, sK1138: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1930, type, sK1139: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1931, type, sK1140: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1932, type, sK1141: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1933, type, sK1142: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1934, type, sK1143: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_1935, type, sK1144: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1936, type, sK1145: !>[X0: $tType]:((fun(X0,nat) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_1937, type, sK1146: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1938, type, sK1147: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1939, type, sK1148: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1940, type, sK1149: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1941, type, sK1150: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1942, type, sK1151: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1943, type, sK1152: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1944, type, sK1153: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1945, type, sK1154: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1946, type, sK1155: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1947, type, sK1156: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1948, type, sK1157: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_1949, type, sK1158: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1950, type, sK1159: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1951, type, sK1160: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1952, type, sK1161: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1953, type, sK1162: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1954, type, sK1163: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1955, type, sK1164: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1956, type, sK1165: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1957, type, sK1166: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1958, type, sK1167: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1959, type, sK1168: !>[X0: $tType]:((X0 * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_1960, type, sK1169: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1961, type, sK1170: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1962, type, sK1171: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1963, type, sK1172: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1964, type, sK1173: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1965, type, sK1174: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1966, type, sK1175: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1967, type, sK1176: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1968, type, sK1177: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1969, type, sK1178: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1970, type, sK1179: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1971, type, sK1180: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1972, type, sK1181: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1973, type, sK1182: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1974, type, sK1183: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1975, type, sK1184: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1976, type, sK1185: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1977, type, sK1186: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_1978, type, sK1187: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_1979, type, sK1188: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_1980, type, sK1189: !>[X0: $tType]:((X0 * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_1981, type, sK1190: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1982, type, sK1191: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1983, type, sK1192: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_1984, type, sK1193: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1985, type, sK1194: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_1986, type, sK1195: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_1987, type, sK1196: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1988, type, sK1197: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1989, type, sK1198: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1990, type, sK1199: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_1991, type, sK1200: num > num).
% 26.16/4.98 tff(func_def_1992, type, sK1201: num > num).
% 26.16/4.98 tff(func_def_1993, type, sK1202: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_1994, type, sK1203: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_1995, type, sK1204: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_1996, type, sK1205: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_1997, type, sK1206: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_1998, type, sK1207: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_1999, type, sK1208: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2000, type, sK1209: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2001, type, sK1210: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2002, type, sK1211: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2003, type, sK1212: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2004, type, sK1213: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2005, type, sK1214: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2006, type, sK1215: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2007, type, sK1216: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2008, type, sK1217: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2009, type, sK1218: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2010, type, sK1219: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2011, type, sK1220: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2012, type, sK1221: nat > nat).
% 26.16/4.98 tff(func_def_2013, type, sK1222: nat > nat).
% 26.16/4.98 tff(func_def_2014, type, sK1223: nat > nat).
% 26.16/4.98 tff(func_def_2015, type, sK1224: nat > nat).
% 26.16/4.98 tff(func_def_2016, type, sK1225: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2017, type, sK1226: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2018, type, sK1227: list(nat) > nat).
% 26.16/4.98 tff(func_def_2019, type, sK1228: list(nat) > list(nat)).
% 26.16/4.98 tff(func_def_2020, type, sK1229: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2021, type, sK1230: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2022, type, sK1231: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2023, type, sK1232: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2024, type, sK1233: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2025, type, sK1234: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2026, type, sK1235: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2027, type, sK1236: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2028, type, sK1237: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2029, type, sK1238: complex > real).
% 26.16/4.98 tff(func_def_2030, type, sK1239: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2031, type, sK1240: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2032, type, sK1241: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2033, type, sK1242: set(nat) > nat).
% 26.16/4.98 tff(func_def_2034, type, sK1243: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2035, type, sK1244: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2036, type, sK1245: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2037, type, sK1246: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2038, type, sK1247: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2039, type, sK1248: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2040, type, sK1249: int > nat).
% 26.16/4.98 tff(func_def_2041, type, sK1250: real > real).
% 26.16/4.98 tff(func_def_2042, type, sK1251: real > nat).
% 26.16/4.98 tff(func_def_2043, type, sK1252: real > nat).
% 26.16/4.98 tff(func_def_2044, type, sK1253: real > real).
% 26.16/4.98 tff(func_def_2045, type, sK1254: nat > nat).
% 26.16/4.98 tff(func_def_2046, type, sK1255: fun(nat,real) > fun(nat,int)).
% 26.16/4.98 tff(func_def_2047, type, sK1256: (fun(nat,rat) * rat * nat) > nat).
% 26.16/4.98 tff(func_def_2048, type, sK1257: fun(nat,rat) > rat).
% 26.16/4.98 tff(func_def_2049, type, sK1258: fun(nat,rat) > nat).
% 26.16/4.98 tff(func_def_2050, type, sK1259: real > real).
% 26.16/4.98 tff(func_def_2051, type, sK1260: real > real).
% 26.16/4.98 tff(func_def_2052, type, sK1261: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2053, type, sK1262: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2054, type, sK1263: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2055, type, sK1264: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2056, type, sK1265: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2057, type, sK1266: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2058, type, sK1267: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2059, type, sK1268: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2060, type, sK1269: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2061, type, sK1270: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2062, type, sK1271: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2063, type, sK1272: product_prod(num,num) > num).
% 26.16/4.98 tff(func_def_2064, type, sK1273: bool > product_unit).
% 26.16/4.98 tff(func_def_2065, type, sK1274: nat > nat).
% 26.16/4.98 tff(func_def_2066, type, sK1275: nat > nat).
% 26.16/4.98 tff(func_def_2067, type, sK1276: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 26.16/4.98 tff(func_def_2068, type, sK1277: !>[X0: $tType]:((fun(nat,X0) * fun(nat,real) * nat) > nat)).
% 26.16/4.98 tff(func_def_2069, type, sK1278: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_2070, type, sK1279: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 26.16/4.98 tff(func_def_2071, type, sK1280: !>[X0: $tType]:((fun(nat,X0) * set(X0)) > nat)).
% 26.16/4.98 tff(func_def_2072, type, sK1281: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.98 tff(func_def_2073, type, sK1282: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.98 tff(func_def_2074, type, sK1283: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 26.16/4.98 tff(func_def_2075, type, sK1284: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.98 tff(func_def_2076, type, sK1285: !>[X0: $tType]:((fun(nat,X0) * nat * X0) > X0)).
% 26.16/4.98 tff(func_def_2077, type, sK1286: !>[X0: $tType]:((fun(nat,X0) * nat * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2078, type, sK1287: !>[X0: $tType]:((fun(nat,X0) * nat * fun(nat,X0)) > X0)).
% 26.16/4.98 tff(func_def_2079, type, sK1288: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 26.16/4.98 tff(func_def_2080, type, sK1289: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 26.16/4.98 tff(func_def_2081, type, sK1290: !>[X0: $tType]:((fun(nat,X0)) > X0)).
% 26.16/4.98 tff(func_def_2082, type, sK1291: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_2083, type, sK1292: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_2084, type, sK1293: !>[X0: $tType]:((real * fun(nat,X0)) > X0)).
% 26.16/4.98 tff(func_def_2085, type, sK1294: !>[X0: $tType]:((real * fun(nat,X0)) > X0)).
% 26.16/4.98 tff(func_def_2086, type, sK1295: !>[X0: $tType]:((real * fun(nat,X0) * fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_2087, type, sK1296: !>[X0: $tType]:((X0) > X0)).
% 26.16/4.98 tff(func_def_2088, type, sK1297: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.98 tff(func_def_2089, type, sK1298: !>[X0: $tType]:((fun(nat,X0) * nat) > nat)).
% 26.16/4.98 tff(func_def_2090, type, sK1299: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_2091, type, sK1300: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_2092, type, sK1301: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2093, type, sK1302: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2094, type, sK1303: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 26.16/4.98 tff(func_def_2095, type, sK1304: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2096, type, sK1305: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 26.16/4.98 tff(func_def_2097, type, sK1306: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2098, type, sK1307: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2099, type, sK1308: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2100, type, sK1309: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2101, type, sK1310: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2102, type, sK1311: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2103, type, sK1312: !>[X0: $tType]:((fun(nat,X0) * set(nat)) > nat)).
% 26.16/4.98 tff(func_def_2104, type, sK1313: !>[X0: $tType]:((fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2105, type, sK1314: !>[X0: $tType]:((fun(nat,X0) * X0) > nat)).
% 26.16/4.98 tff(func_def_2106, type, sK1315: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2107, type, sK1316: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2108, type, sK1317: !>[X0: $tType]:((fun(nat,X0) * nat) > X0)).
% 26.16/4.98 tff(func_def_2109, type, sK1318: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_2110, type, sK1319: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_2111, type, sK1320: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2112, type, sK1321: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2113, type, sK1322: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2114, type, sK1323: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2115, type, sK1324: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_2116, type, sK1325: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_2117, type, sK1326: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_2118, type, sK1327: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_2119, type, sK1328: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_2120, type, sK1329: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_2121, type, sK1330: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_2122, type, sK1331: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_2123, type, sK1332: int > nat).
% 26.16/4.98 tff(func_def_2124, type, sK1333: int > nat).
% 26.16/4.98 tff(func_def_2125, type, sK1334: nat > nat).
% 26.16/4.98 tff(func_def_2126, type, sK1335: nat > nat).
% 26.16/4.98 tff(func_def_2127, type, sK1336: fun(nat,real) > real).
% 26.16/4.98 tff(func_def_2128, type, sK1337: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2129, type, sK1338: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2130, type, sK1339: fun(nat,rat) > rat).
% 26.16/4.98 tff(func_def_2131, type, sK1340: (fun(nat,rat) * nat) > nat).
% 26.16/4.98 tff(func_def_2132, type, sK1341: fun(nat,rat) > rat).
% 26.16/4.98 tff(func_def_2133, type, sK1342: (fun(nat,rat) * nat) > nat).
% 26.16/4.98 tff(func_def_2134, type, sK1343: (fun(nat,rat) * nat) > nat).
% 26.16/4.98 tff(func_def_2135, type, sK1344: fun(nat,real) > real).
% 26.16/4.98 tff(func_def_2136, type, sK1345: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2137, type, sK1346: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2138, type, sK1347: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2139, type, sK1348: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2140, type, sK1349: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2141, type, sK1350: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2142, type, sK1351: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2143, type, sK1352: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2144, type, sK1353: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2145, type, sK1354: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2146, type, sK1355: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2147, type, sK1356: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2148, type, sK1357: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2149, type, sK1358: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2150, type, sK1359: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2151, type, sK1360: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2152, type, sK1361: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2153, type, sK1362: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2154, type, sK1363: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2155, type, sK1364: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2156, type, sK1365: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2157, type, sK1366: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2158, type, sK1367: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2159, type, sK1368: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2160, type, sK1369: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2161, type, sK1370: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2162, type, sK1371: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2163, type, sK1372: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2164, type, sK1373: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2165, type, sK1374: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2166, type, sK1375: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2167, type, sK1376: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2168, type, sK1377: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2169, type, sK1378: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2170, type, sK1379: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2171, type, sK1380: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2172, type, sK1381: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2173, type, sK1382: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2174, type, sK1383: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2175, type, sK1384: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2176, type, sK1385: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2177, type, sK1386: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2178, type, sK1387: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2179, type, sK1388: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2180, type, sK1389: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2181, type, sK1390: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2182, type, sK1391: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2183, type, sK1392: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2184, type, sK1393: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2185, type, sK1394: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2186, type, sK1395: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2187, type, sK1396: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2188, type, sK1397: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2189, type, sK1398: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2190, type, sK1399: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2191, type, sK1400: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2192, type, sK1401: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2193, type, sK1402: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2194, type, sK1403: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2195, type, sK1404: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2196, type, sK1405: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2197, type, sK1406: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2198, type, sK1407: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2199, type, sK1408: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2200, type, sK1409: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2201, type, sK1410: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2202, type, sK1411: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2203, type, sK1412: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2204, type, sK1413: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2205, type, sK1414: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2206, type, sK1415: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2207, type, sK1416: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2208, type, sK1417: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2209, type, sK1418: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2210, type, sK1419: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2211, type, sK1420: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2212, type, sK1421: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2213, type, sK1422: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2214, type, sK1423: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2215, type, sK1424: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2216, type, sK1425: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2217, type, sK1426: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2218, type, sK1427: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2219, type, sK1428: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2220, type, sK1429: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2221, type, sK1430: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2222, type, sK1431: set(nat) > nat).
% 26.16/4.98 tff(func_def_2223, type, sK1432: set(nat) > nat).
% 26.16/4.98 tff(func_def_2224, type, sK1433: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2225, type, sK1434: product_prod(vEBT_VEBT,extended_enat) > nat).
% 26.16/4.98 tff(func_def_2226, type, sK1435: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2227, type, sK1436: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2228, type, sK1437: product_prod(vEBT_VEBT,extended_enat) > nat).
% 26.16/4.98 tff(func_def_2229, type, sK1438: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2230, type, sK1439: product_prod(vEBT_VEBT,extended_enat) > nat).
% 26.16/4.98 tff(func_def_2231, type, sK1440: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2232, type, sK1441: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2233, type, sK1442: product_prod(vEBT_VEBT,extended_enat) > bool).
% 26.16/4.98 tff(func_def_2234, type, sK1443: product_prod(vEBT_VEBT,extended_enat) > bool).
% 26.16/4.98 tff(func_def_2235, type, sK1444: product_prod(vEBT_VEBT,extended_enat) > extended_enat).
% 26.16/4.98 tff(func_def_2236, type, sK1445: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2237, type, sK1446: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2238, type, sK1447: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2239, type, sK1448: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2240, type, sK1449: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2241, type, sK1450: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2242, type, sK1451: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2243, type, sK1452: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2244, type, sK1453: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2245, type, sK1454: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2246, type, sK1455: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2247, type, sK1456: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2248, type, sK1457: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2249, type, sK1458: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2250, type, sK1459: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2251, type, sK1460: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2252, type, sK1461: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2253, type, sK1462: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2254, type, sK1463: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2255, type, sK1464: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2256, type, sK1465: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2257, type, sK1466: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2258, type, sK1467: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2259, type, sK1468: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2260, type, sK1469: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2261, type, sK1470: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2262, type, sK1471: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2263, type, sK1472: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2264, type, sK1473: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2265, type, sK1474: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2266, type, sK1475: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2267, type, sK1476: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2268, type, sK1477: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2269, type, sK1478: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2270, type, sK1479: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2271, type, sK1480: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2272, type, sK1481: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2273, type, sK1482: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2274, type, sK1483: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2275, type, sK1484: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2276, type, sK1485: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2277, type, sK1486: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2278, type, sK1487: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2279, type, sK1488: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2280, type, sK1489: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2281, type, sK1490: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2282, type, sK1491: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2283, type, sK1492: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2284, type, sK1493: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2285, type, sK1494: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2286, type, sK1495: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2287, type, sK1496: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2288, type, sK1497: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2289, type, sK1498: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2290, type, sK1499: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2291, type, sK1500: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2292, type, sK1501: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2293, type, sK1502: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2294, type, sK1503: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2295, type, sK1504: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2296, type, sK1505: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2297, type, sK1506: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2298, type, sK1507: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2299, type, sK1508: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2300, type, sK1509: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2301, type, sK1510: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2302, type, sK1511: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2303, type, sK1512: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2304, type, sK1513: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2305, type, sK1514: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2306, type, sK1515: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2307, type, sK1516: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2308, type, sK1517: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2309, type, sK1518: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2310, type, sK1519: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2311, type, sK1520: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2312, type, sK1521: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2313, type, sK1522: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2314, type, sK1523: product_prod(vEBT_VEBT,nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2315, type, sK1524: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2316, type, sK1525: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2317, type, sK1526: product_prod(vEBT_VEBT,nat) > bool).
% 26.16/4.98 tff(func_def_2318, type, sK1527: product_prod(vEBT_VEBT,nat) > nat).
% 26.16/4.98 tff(func_def_2319, type, sK1528: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2320, type, sK1529: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2321, type, sK1530: vEBT_VEBT > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2322, type, sK1531: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2323, type, sK1532: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2324, type, sK1533: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2325, type, sK1534: fun(nat,rat) > rat).
% 26.16/4.98 tff(func_def_2326, type, sK1535: (fun(nat,rat) * nat) > nat).
% 26.16/4.98 tff(func_def_2327, type, sK1536: (fun(nat,rat) * nat) > nat).
% 26.16/4.98 tff(func_def_2328, type, sK1537: (fun(nat,rat) * rat) > nat).
% 26.16/4.98 tff(func_def_2329, type, sK1538: fun(nat,rat) > rat).
% 26.16/4.98 tff(func_def_2330, type, sK1539: (fun(nat,rat) * nat) > nat).
% 26.16/4.98 tff(func_def_2331, type, sK1540: (fun(nat,rat) * rat) > nat).
% 26.16/4.98 tff(func_def_2332, type, sK1541: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2333, type, sK1542: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2334, type, sK1543: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2335, type, sK1544: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2336, type, sK1545: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2337, type, sK1546: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2338, type, sK1547: real > nat).
% 26.16/4.98 tff(func_def_2339, type, sK1548: real > nat).
% 26.16/4.98 tff(func_def_2340, type, sK1549: real > int).
% 26.16/4.98 tff(func_def_2341, type, sK1550: real > nat).
% 26.16/4.98 tff(func_def_2342, type, sK1551: real > nat).
% 26.16/4.98 tff(func_def_2343, type, sK1552: real > int).
% 26.16/4.98 tff(func_def_2344, type, sK1553: real > nat).
% 26.16/4.98 tff(func_def_2345, type, sK1554: real > nat).
% 26.16/4.98 tff(func_def_2346, type, sK1555: real > int).
% 26.16/4.98 tff(func_def_2347, type, sK1556: (real * rat * nat) > nat).
% 26.16/4.98 tff(func_def_2348, type, sK1557: real > rat).
% 26.16/4.98 tff(func_def_2349, type, sK1558: real > nat).
% 26.16/4.98 tff(func_def_2350, type, sK1559: set(nat) > nat).
% 26.16/4.98 tff(func_def_2351, type, sK1560: (set(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_2352, type, sK1561: set(nat) > nat).
% 26.16/4.98 tff(func_def_2353, type, sK1562: set(nat) > nat).
% 26.16/4.98 tff(func_def_2354, type, sK1563: (set(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_2355, type, sK1564: set(nat) > nat).
% 26.16/4.98 tff(func_def_2356, type, sK1565: (fun(nat,rat) * rat * nat) > nat).
% 26.16/4.98 tff(func_def_2357, type, sK1566: fun(nat,rat) > rat).
% 26.16/4.98 tff(func_def_2358, type, sK1567: fun(nat,rat) > nat).
% 26.16/4.98 tff(func_def_2359, type, sK1568: nat > nat).
% 26.16/4.98 tff(func_def_2360, type, sK1569: filter(nat) > nat).
% 26.16/4.98 tff(func_def_2361, type, sK1570: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_2362, type, sK1571: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2363, type, sK1572: (fun(product_prod(nat,nat),bool) * nat) > nat).
% 26.16/4.98 tff(func_def_2364, type, sK1573: (fun(product_prod(nat,nat),bool) * nat) > nat).
% 26.16/4.98 tff(func_def_2365, type, sK1574: fun(product_prod(nat,nat),bool) > nat).
% 26.16/4.98 tff(func_def_2366, type, sK1575: real > int).
% 26.16/4.98 tff(func_def_2367, type, sK1576: product_unit > bool).
% 26.16/4.98 tff(func_def_2368, type, sK1577: int > nat).
% 26.16/4.98 tff(func_def_2369, type, sK1578: product_prod(nat,nat) > nat).
% 26.16/4.98 tff(func_def_2370, type, sK1579: product_prod(nat,nat) > nat).
% 26.16/4.98 tff(func_def_2371, type, sK1580: int > nat).
% 26.16/4.98 tff(func_def_2372, type, sK1581: int > nat).
% 26.16/4.98 tff(func_def_2373, type, sK1582: !>[X0: $tType]:(X0)).
% 26.16/4.98 tff(func_def_2374, type, sK1583: real > real).
% 26.16/4.98 tff(func_def_2375, type, sK1584: real > real).
% 26.16/4.98 tff(func_def_2376, type, sK1585: (fun(nat,rat) * fun(nat,rat)) > rat).
% 26.16/4.98 tff(func_def_2377, type, sK1586: (fun(nat,rat) * fun(nat,rat) * nat) > nat).
% 26.16/4.98 tff(func_def_2378, type, sK1587: (fun(nat,rat) * fun(nat,rat) * rat) > nat).
% 26.16/4.98 tff(func_def_2379, type, sK1588: (fun(nat,rat) * rat) > nat).
% 26.16/4.98 tff(func_def_2380, type, sK1589: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_2381, type, sK1590: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 26.16/4.98 tff(func_def_2382, type, sK1591: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 26.16/4.98 tff(func_def_2383, type, sK1592: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 26.16/4.98 tff(func_def_2384, type, sK1593: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 26.16/4.98 tff(func_def_2385, type, sK1594: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_2386, type, sK1595: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 26.16/4.98 tff(func_def_2387, type, sK1596: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X1)).
% 26.16/4.98 tff(func_def_2388, type, sK1597: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 26.16/4.98 tff(func_def_2389, type, sK1598: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * filter(X1)) > fun(product_prod(X0,X0),bool))).
% 26.16/4.98 tff(func_def_2390, type, sK1599: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2391, type, sK1600: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 26.16/4.98 tff(func_def_2392, type, sK1601: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 26.16/4.98 tff(func_def_2393, type, sK1602: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 26.16/4.98 tff(func_def_2394, type, sK1603: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 26.16/4.98 tff(func_def_2395, type, sK1604: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > real)).
% 26.16/4.98 tff(func_def_2396, type, sK1605: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * nat) > X0)).
% 26.16/4.98 tff(func_def_2397, type, sK1606: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > nat)).
% 26.16/4.98 tff(func_def_2398, type, sK1607: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * real) > X0)).
% 26.16/4.98 tff(func_def_2399, type, sK1608: (fun(nat,rat) * rat) > nat).
% 26.16/4.98 tff(func_def_2400, type, sK1609: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2401, type, sK1610: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2402, type, sK1611: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2403, type, sK1612: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_2404, type, sK1613: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_2405, type, sK1614: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2406, type, sK1615: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2407, type, sK1616: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2408, type, sK1617: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2409, type, sK1618: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1 * X1) > X0)).
% 26.16/4.98 tff(func_def_2410, type, sK1619: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2411, type, sK1620: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2412, type, sK1621: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2413, type, sK1622: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2414, type, sK1623: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_2415, type, sK1624: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2416, type, sK1625: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2417, type, sK1626: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2418, type, sK1627: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2419, type, sK1628: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2420, type, sK1629: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2421, type, sK1630: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2422, type, sK1631: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2423, type, sK1632: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2424, type, sK1633: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2425, type, sK1634: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2426, type, sK1635: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2427, type, sK1636: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2428, type, sK1637: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2429, type, sK1638: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2430, type, sK1639: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2431, type, sK1640: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2432, type, sK1641: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2433, type, sK1642: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2434, type, sK1643: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2435, type, sK1644: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2436, type, sK1645: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2437, type, sK1646: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2438, type, sK1647: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2439, type, sK1648: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_2440, type, sK1649: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 26.16/4.98 tff(func_def_2441, type, sK1650: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_2442, type, sK1651: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_2443, type, sK1652: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * X1 * set(X1) * fun(X0,X1) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_2444, type, sK1653: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * X1 * set(X1) * fun(X0,X1)) > set(X1))).
% 26.16/4.98 tff(func_def_2445, type, sK1654: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2446, type, sK1655: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2447, type, sK1656: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2448, type, sK1657: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2449, type, sK1658: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2450, type, sK1659: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2451, type, sK1660: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2452, type, sK1661: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2453, type, sK1662: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2454, type, sK1663: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2455, type, sK1664: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2456, type, sK1665: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X1)).
% 26.16/4.98 tff(func_def_2457, type, sK1666: !>[X0: $tType, X1: $tType]:((set(X0) * X1 * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2458, type, sK1667: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2459, type, sK1668: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X1)).
% 26.16/4.98 tff(func_def_2460, type, sK1669: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2461, type, sK1670: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2462, type, sK1671: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * X1) > X0)).
% 26.16/4.98 tff(func_def_2463, type, sK1672: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2464, type, sK1673: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2465, type, sK1674: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2466, type, sK1675: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2467, type, sK1676: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2468, type, sK1677: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2469, type, sK1678: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2470, type, sK1679: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2471, type, sK1680: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2472, type, sK1681: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2473, type, sK1682: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2474, type, sK1683: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2475, type, sK1684: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2476, type, sK1685: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2477, type, sK1686: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2478, type, sK1687: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2479, type, sK1688: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2480, type, sK1689: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2481, type, sK1690: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2482, type, sK1691: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2483, type, sK1692: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2484, type, sK1693: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2485, type, sK1694: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2486, type, sK1695: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2487, type, sK1696: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2488, type, sK1697: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2489, type, sK1698: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2490, type, sK1699: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2491, type, sK1700: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2492, type, sK1701: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2493, type, sK1702: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2494, type, sK1703: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2495, type, sK1704: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2496, type, sK1705: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2497, type, sK1706: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_2498, type, sK1707: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_2499, type, sK1708: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_2500, type, sK1709: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_2501, type, sK1710: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2502, type, sK1711: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2503, type, sK1712: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2504, type, sK1713: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2505, type, sK1714: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2506, type, sK1715: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2507, type, sK1716: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2508, type, sK1717: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2509, type, sK1718: !>[X0: $tType, X1: $tType]:((set(X1) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2510, type, sK1719: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_2511, type, sK1720: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X0) > X1)).
% 26.16/4.98 tff(func_def_2512, type, sK1721: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,bool) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2513, type, sK1722: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2514, type, sK1723: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_2515, type, sK1724: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2516, type, sK1725: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2517, type, sK1726: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2518, type, sK1727: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2519, type, sK1728: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_2520, type, sK1729: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_2521, type, sK1730: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > X1)).
% 26.16/4.98 tff(func_def_2522, type, sK1731: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > X1)).
% 26.16/4.98 tff(func_def_2523, type, sK1732: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > list(X1))).
% 26.16/4.98 tff(func_def_2524, type, sK1733: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_2525, type, sK1734: !>[X0: $tType, X1: $tType]:((product_prod(fun(X1,X0),list(X1))) > X1)).
% 26.16/4.98 tff(func_def_2526, type, sK1735: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_2527, type, sK1736: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_2528, type, sK1737: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_2529, type, sK1738: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0)) > X0)).
% 26.16/4.98 tff(func_def_2530, type, sK1739: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_2531, type, sK1740: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0)) > X0)).
% 26.16/4.98 tff(func_def_2532, type, sK1741: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_2533, type, sK1742: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_2534, type, sK1743: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_2535, type, sK1744: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_2536, type, sK1745: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_2537, type, sK1746: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * X1) > X1)).
% 26.16/4.98 tff(func_def_2538, type, sK1747: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * X1) > X1)).
% 26.16/4.98 tff(func_def_2539, type, sK1748: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * X1) > list(X1))).
% 26.16/4.98 tff(func_def_2540, type, sK1749: !>[X0: $tType, X1: $tType]:((fun(set(X1),bool) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2541, type, sK1750: !>[X0: $tType, X1: $tType]:((fun(set(X1),bool) * fun(X1,X0)) > set(X1))).
% 26.16/4.98 tff(func_def_2542, type, sK1751: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * X1) > X1)).
% 26.16/4.98 tff(func_def_2543, type, sK1752: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool) * X1) > X1)).
% 26.16/4.98 tff(func_def_2544, type, sK1753: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 26.16/4.98 tff(func_def_2545, type, sK1754: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1) * X0) > X0)).
% 26.16/4.98 tff(func_def_2546, type, sK1755: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2547, type, sK1756: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2548, type, sK1757: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2549, type, sK1758: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2550, type, sK1759: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2551, type, sK1760: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2552, type, sK1761: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2553, type, sK1762: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2554, type, sK1763: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_2555, type, sK1764: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2556, type, sK1765: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2557, type, sK1766: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_2558, type, sK1767: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2559, type, sK1768: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2560, type, sK1769: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * X1 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2561, type, sK1770: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool) * X1) > X1)).
% 26.16/4.98 tff(func_def_2562, type, sK1771: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2563, type, sK1772: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2564, type, sK1773: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2565, type, sK1774: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2566, type, sK1775: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2567, type, sK1776: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2568, type, sK1777: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2569, type, sK1778: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2570, type, sK1779: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2571, type, sK1780: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2572, type, sK1781: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2573, type, sK1782: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2574, type, sK1783: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2575, type, sK1784: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2576, type, sK1785: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2577, type, sK1786: vEBT_VEBT > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2578, type, sK1787: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2579, type, sK1788: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2580, type, sK1789: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2581, type, sK1790: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2582, type, sK1791: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2583, type, sK1792: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2584, type, sK1793: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2585, type, sK1794: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2586, type, sK1795: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2587, type, sK1796: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2588, type, sK1797: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2589, type, sK1798: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2590, type, sK1799: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2591, type, sK1800: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2592, type, sK1801: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2593, type, sK1802: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2594, type, sK1803: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2595, type, sK1804: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2596, type, sK1805: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2597, type, sK1806: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2598, type, sK1807: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2599, type, sK1808: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2600, type, sK1809: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2601, type, sK1810: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2602, type, sK1811: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2603, type, sK1812: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2604, type, sK1813: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2605, type, sK1814: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2606, type, sK1815: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2607, type, sK1816: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2608, type, sK1817: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2609, type, sK1818: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2610, type, sK1819: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2611, type, sK1820: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2612, type, sK1821: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2613, type, sK1822: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2614, type, sK1823: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2615, type, sK1824: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2616, type, sK1825: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2617, type, sK1826: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2618, type, sK1827: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2619, type, sK1828: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2620, type, sK1829: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2621, type, sK1830: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2622, type, sK1831: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2623, type, sK1832: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2624, type, sK1833: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2625, type, sK1834: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2626, type, sK1835: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2627, type, sK1836: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2628, type, sK1837: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_2629, type, sK1838: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2630, type, sK1839: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2631, type, sK1840: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2632, type, sK1841: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2633, type, sK1842: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2634, type, sK1843: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2635, type, sK1844: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2636, type, sK1845: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2637, type, sK1846: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2638, type, sK1847: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2639, type, sK1848: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2640, type, sK1849: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2641, type, sK1850: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2642, type, sK1851: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2643, type, sK1852: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2644, type, sK1853: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2645, type, sK1854: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2646, type, sK1855: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2647, type, sK1856: (nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2648, type, sK1857: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2649, type, sK1858: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2650, type, sK1859: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2651, type, sK1860: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2652, type, sK1861: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2653, type, sK1862: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2654, type, sK1863: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2655, type, sK1864: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2656, type, sK1865: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2657, type, sK1866: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2658, type, sK1867: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2659, type, sK1868: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2660, type, sK1869: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2661, type, sK1870: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2662, type, sK1871: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2663, type, sK1872: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2664, type, sK1873: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2665, type, sK1874: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2666, type, sK1875: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2667, type, sK1876: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2668, type, sK1877: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2669, type, sK1878: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2670, type, sK1879: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2671, type, sK1880: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2672, type, sK1881: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2673, type, sK1882: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2674, type, sK1883: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2675, type, sK1884: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2676, type, sK1885: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2677, type, sK1886: !>[X0: $tType]:((set(X0)) > fun(nat,set(X0)))).
% 26.16/4.98 tff(func_def_2678, type, sK1887: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_2679, type, sK1888: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2680, type, sK1889: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2681, type, sK1890: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2682, type, sK1891: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2683, type, sK1892: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2684, type, sK1893: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2685, type, sK1894: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2686, type, sK1895: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2687, type, sK1896: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2688, type, sK1897: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2689, type, sK1898: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2690, type, sK1899: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2691, type, sK1900: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2692, type, sK1901: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2693, type, sK1902: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2694, type, sK1903: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2695, type, sK1904: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2696, type, sK1905: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2697, type, sK1906: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2698, type, sK1907: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2699, type, sK1908: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2700, type, sK1909: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2701, type, sK1910: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2702, type, sK1911: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2703, type, sK1912: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2704, type, sK1913: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2705, type, sK1914: (list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_2706, type, sK1915: (list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_2707, type, sK1916: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2708, type, sK1917: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2709, type, sK1918: (real * nat) > real).
% 26.16/4.98 tff(func_def_2710, type, sK1919: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2711, type, sK1920: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2712, type, sK1921: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2713, type, sK1922: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2714, type, sK1923: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2715, type, sK1924: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2716, type, sK1925: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2717, type, sK1926: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_2718, type, sK1927: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_2719, type, sK1928: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_2720, type, sK1929: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2721, type, sK1930: !>[X0: $tType]:((option(X0)) > X0)).
% 26.16/4.98 tff(func_def_2722, type, sK1931: (option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2723, type, sK1932: (option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2724, type, sK1933: (option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2725, type, sK1934: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2726, type, sK1935: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2727, type, sK1936: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2728, type, sK1937: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2729, type, sK1938: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2730, type, sK1939: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2731, type, sK1940: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2732, type, sK1941: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2733, type, sK1942: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2734, type, sK1943: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2735, type, sK1944: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2736, type, sK1945: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2737, type, sK1946: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2738, type, sK1947: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2739, type, sK1948: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2740, type, sK1949: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2741, type, sK1950: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2742, type, sK1951: (option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2743, type, sK1952: (option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2744, type, sK1953: (option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2745, type, sK1954: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2746, type, sK1955: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2747, type, sK1956: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2748, type, sK1957: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2749, type, sK1958: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2750, type, sK1959: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2751, type, sK1960: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2752, type, sK1961: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2753, type, sK1962: (option(nat) * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2754, type, sK1963: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2755, type, sK1964: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2756, type, sK1965: (vEBT_VEBT * option(nat)) > nat).
% 26.16/4.98 tff(func_def_2757, type, sK1966: (vEBT_VEBT * option(nat)) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2758, type, sK1967: (vEBT_VEBT * option(nat)) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2759, type, sK1968: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2760, type, sK1969: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2761, type, sK1970: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2762, type, sK1971: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2763, type, sK1972: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2764, type, sK1973: fun(num,bool) > num).
% 26.16/4.98 tff(func_def_2765, type, sK1974: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_2766, type, sK1975: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_2767, type, sK1976: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2768, type, sK1977: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2769, type, sK1978: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2770, type, sK1979: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2771, type, sK1980: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2772, type, sK1981: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2773, type, sK1982: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2774, type, sK1983: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2775, type, sK1984: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2776, type, sK1985: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2777, type, sK1986: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2778, type, sK1987: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2779, type, sK1988: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2780, type, sK1989: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2781, type, sK1990: (vEBT_VEBT * nat) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2782, type, sK1991: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2783, type, sK1992: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2784, type, sK1993: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2785, type, sK1994: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2786, type, sK1995: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2787, type, sK1996: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2788, type, sK1997: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2789, type, sK1998: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2790, type, sK1999: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2791, type, sK2000: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2792, type, sK2001: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2793, type, sK2002: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2794, type, sK2003: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2795, type, sK2004: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2796, type, sK2005: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2797, type, sK2006: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2798, type, sK2007: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2799, type, sK2008: (vEBT_VEBT * nat) > bool).
% 26.16/4.98 tff(func_def_2800, type, sK2009: fun(int,bool) > int).
% 26.16/4.98 tff(func_def_2801, type, sK2010: fun(int,bool) > int).
% 26.16/4.98 tff(func_def_2802, type, sK2011: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2803, type, sK2012: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2804, type, sK2013: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2805, type, sK2014: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2806, type, sK2015: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2807, type, sK2016: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2808, type, sK2017: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2809, type, sK2018: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2810, type, sK2019: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2811, type, sK2020: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2812, type, sK2021: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2813, type, sK2022: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2814, type, sK2023: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2815, type, sK2024: (nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2816, type, sK2025: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2817, type, sK2026: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2818, type, sK2027: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_2819, type, sK2028: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2820, type, sK2029: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2821, type, sK2030: !>[X0: $tType]:((set(set(X0))) > set(set(X0)))).
% 26.16/4.98 tff(func_def_2822, type, sK2031: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2823, type, sK2032: !>[X0: $tType]:((set(X0)) > fun(nat,set(X0)))).
% 26.16/4.98 tff(func_def_2824, type, sK2033: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_2825, type, sK2034: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_2826, type, sK2035: (list(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_2827, type, sK2036: (list(nat) * nat) > list(nat)).
% 26.16/4.98 tff(func_def_2828, type, sK2037: (list(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_2829, type, sK2038: (list(nat) * nat) > list(nat)).
% 26.16/4.98 tff(func_def_2830, type, sK2039: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_2831, type, sK2040: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2832, type, sK2041: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2833, type, sK2042: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2834, type, sK2043: !>[X0: $tType]:((set(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_2835, type, sK2044: !>[X0: $tType]:((set(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_2836, type, sK2045: (nat * list(nat)) > nat).
% 26.16/4.98 tff(func_def_2837, type, sK2046: (nat * list(nat)) > nat).
% 26.16/4.98 tff(func_def_2838, type, sK2047: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2839, type, sK2048: !>[X0: $tType]:((set(list(X0))) > nat)).
% 26.16/4.98 tff(func_def_2840, type, sK2049: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2841, type, sK2050: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2842, type, sK2051: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2843, type, sK2052: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2844, type, sK2053: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2845, type, sK2054: (vEBT_VEBT * nat) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_2846, type, sK2055: (vEBT_VEBT * nat) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2847, type, sK2056: (vEBT_VEBT * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2848, type, sK2057: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_2849, type, sK2058: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_2850, type, sK2059: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_2851, type, sK2060: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_2852, type, sK2061: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2853, type, sK2062: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2854, type, sK2063: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2855, type, sK2064: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2856, type, sK2065: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2857, type, sK2066: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2858, type, sK2067: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_2859, type, sK2068: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_2860, type, sK2069: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2861, type, sK2070: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_2862, type, sK2071: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2863, type, sK2072: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_2864, type, sK2073: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_2865, type, sK2074: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2866, type, sK2075: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_2867, type, sK2076: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_2868, type, sK2077: (real * real) > nat).
% 26.16/4.98 tff(func_def_2869, type, sK2078: (real * real) > nat).
% 26.16/4.98 tff(func_def_2870, type, sK2079: (real * nat) > real).
% 26.16/4.98 tff(func_def_2871, type, sK2080: (real * nat) > real).
% 26.16/4.98 tff(func_def_2872, type, sK2081: (real * nat) > real).
% 26.16/4.98 tff(func_def_2873, type, sK2082: (real * real) > real).
% 26.16/4.98 tff(func_def_2874, type, sK2083: (real * real) > real).
% 26.16/4.98 tff(func_def_2875, type, sK2084: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_2876, type, sK2085: (nat * real) > real).
% 26.16/4.98 tff(func_def_2877, type, sK2086: (nat * real) > real).
% 26.16/4.98 tff(func_def_2878, type, sK2087: (nat * real) > real).
% 26.16/4.98 tff(func_def_2879, type, sK2088: (nat * real) > real).
% 26.16/4.98 tff(func_def_2880, type, sK2089: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2881, type, sK2090: nat > nat).
% 26.16/4.98 tff(func_def_2882, type, sK2091: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2883, type, sK2092: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2884, type, sK2093: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2885, type, sK2094: (fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_2886, type, sK2095: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2887, type, sK2096: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_2888, type, sK2097: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_2889, type, sK2098: (fun(nat,real) * real) > fun(nat,int)).
% 26.16/4.98 tff(func_def_2890, type, sK2099: fun(bool,bool) > product_unit).
% 26.16/4.98 tff(func_def_2891, type, sK2100: (real * real) > real).
% 26.16/4.98 tff(func_def_2892, type, sK2101: (real * real) > real).
% 26.16/4.98 tff(func_def_2893, type, sK2102: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0 * X1 * set(X1)) > fun(nat,X1))).
% 26.16/4.98 tff(func_def_2894, type, sK2103: !>[X0: $tType]:((X0 * set(X0) * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_2895, type, sK2104: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_2896, type, sK2105: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * real) > X1)).
% 26.16/4.98 tff(func_def_2897, type, sK2106: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > real)).
% 26.16/4.98 tff(func_def_2898, type, sK2107: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2899, type, sK2108: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2900, type, sK2109: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2901, type, sK2110: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2902, type, sK2111: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0) * X1) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_2903, type, sK2112: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2904, type, sK2113: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_2905, type, sK2114: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2906, type, sK2115: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 26.16/4.98 tff(func_def_2907, type, sK2116: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_2908, type, sK2117: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X1 * X0) > X0)).
% 26.16/4.98 tff(func_def_2909, type, sK2118: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2910, type, sK2119: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2911, type, sK2120: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2912, type, sK2121: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_2913, type, sK2122: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X0,bool) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2914, type, sK2123: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2915, type, sK2124: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2916, type, sK2125: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2917, type, sK2126: !>[X0: $tType]:((fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_2918, type, sK2127: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X0,bool) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2919, type, sK2128: !>[X0: $tType, X1: $tType]:((X1 * set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2920, type, sK2129: !>[X0: $tType, X1: $tType]:((set(X1) * X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2921, type, sK2130: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_2922, type, sK2131: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2923, type, sK2132: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2924, type, sK2133: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_2925, type, sK2134: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0)) > X0)).
% 26.16/4.98 tff(func_def_2926, type, sK2135: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_2927, type, sK2136: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0)) > X0)).
% 26.16/4.98 tff(func_def_2928, type, sK2137: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2929, type, sK2138: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_2930, type, sK2139: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X0,bool) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2931, type, sK2140: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,bool) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2932, type, sK2141: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2933, type, sK2142: !>[X0: $tType, X1: $tType]:((X1 * X1 * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2934, type, sK2143: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2935, type, sK2144: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2936, type, sK2145: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2937, type, sK2146: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2938, type, sK2147: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2939, type, sK2148: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2940, type, sK2149: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2941, type, sK2150: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2942, type, sK2151: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2943, type, sK2152: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2944, type, sK2153: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2945, type, sK2154: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2946, type, sK2155: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2947, type, sK2156: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2948, type, sK2157: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2949, type, sK2158: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2950, type, sK2159: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2951, type, sK2160: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2952, type, sK2161: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2953, type, sK2162: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2954, type, sK2163: !>[X0: $tType]:((set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_2955, type, sK2164: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2956, type, sK2165: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2957, type, sK2166: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2958, type, sK2167: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2959, type, sK2168: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2960, type, sK2169: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2961, type, sK2170: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2962, type, sK2171: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_2963, type, sK2172: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2964, type, sK2173: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2965, type, sK2174: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2966, type, sK2175: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2967, type, sK2176: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2968, type, sK2177: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2969, type, sK2178: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2970, type, sK2179: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_2971, type, sK2180: (bool * vEBT_VEBT) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2972, type, sK2181: (bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2973, type, sK2182: (bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2974, type, sK2183: (bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2975, type, sK2184: (bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_2976, type, sK2185: (bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2977, type, sK2186: (bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2978, type, sK2187: (bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2979, type, sK2188: (bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_2980, type, sK2189: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2981, type, sK2190: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_2982, type, sK2191: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_2983, type, sK2192: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2984, type, sK2193: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2985, type, sK2194: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2986, type, sK2195: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_2987, type, sK2196: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_2988, type, sK2197: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_2989, type, sK2198: (set(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_2990, type, sK2199: (set(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_2991, type, sK2200: fun(int,bool) > nat).
% 26.16/4.98 tff(func_def_2992, type, sK2201: fun(int,bool) > nat).
% 26.16/4.98 tff(func_def_2993, type, sK2202: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_2994, type, sK2203: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2995, type, sK2204: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2996, type, sK2205: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_2997, type, sK2206: fun(nat,nat) > nat).
% 26.16/4.98 tff(func_def_2998, type, sK2207: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_2999, type, sK2208: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_3000, type, sK2209: (fun(nat,real) * real) > real).
% 26.16/4.98 tff(func_def_3001, type, sK2210: (fun(nat,real) * real) > nat).
% 26.16/4.98 tff(func_def_3002, type, sK2211: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_3003, type, sK2212: (fun(nat,real) * fun(nat,real)) > real).
% 26.16/4.98 tff(func_def_3004, type, sK2213: (fun(nat,real) * fun(nat,real)) > nat).
% 26.16/4.98 tff(func_def_3005, type, sK2214: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_3006, type, sK2215: fun(nat,real) > nat).
% 26.16/4.98 tff(func_def_3007, type, sK2216: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > X0)).
% 26.16/4.98 tff(func_def_3008, type, sK2217: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3009, type, sK2218: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > X0)).
% 26.16/4.98 tff(func_def_3010, type, sK2219: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3011, type, sK2220: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3012, type, sK2221: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3013, type, sK2222: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > X0)).
% 26.16/4.98 tff(func_def_3014, type, sK2223: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3015, type, sK2224: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3016, type, sK2225: !>[X0: $tType]:((product_prod(list(X0),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3017, type, sK2226: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3018, type, sK2227: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3019, type, sK2228: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3020, type, sK2229: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > X0)).
% 26.16/4.98 tff(func_def_3021, type, sK2230: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > X0)).
% 26.16/4.98 tff(func_def_3022, type, sK2231: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3023, type, sK2232: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3024, type, sK2233: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > X0)).
% 26.16/4.98 tff(func_def_3025, type, sK2234: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3026, type, sK2235: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3027, type, sK2236: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > X0)).
% 26.16/4.98 tff(func_def_3028, type, sK2237: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3029, type, sK2238: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),list(X0))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3030, type, sK2239: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_3031, type, sK2240: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3032, type, sK2241: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3033, type, sK2242: !>[X0: $tType]:((set(set(X0))) > set(set(X0)))).
% 26.16/4.98 tff(func_def_3034, type, sK2243: !>[X0: $tType]:((set(set(X0))) > set(set(X0)))).
% 26.16/4.98 tff(func_def_3035, type, sK2244: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3036, type, sK2245: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3037, type, sK2246: (set(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_3038, type, sK2247: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3039, type, sK2248: !>[X0: $tType]:((set(filter(X0))) > set(filter(X0)))).
% 26.16/4.98 tff(func_def_3040, type, sK2249: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3041, type, sK2250: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3042, type, sK2251: !>[X0: $tType]:((set(set(X0))) > set(set(X0)))).
% 26.16/4.98 tff(func_def_3043, type, sK2252: !>[X0: $tType]:((set(set(X0))) > set(set(X0)))).
% 26.16/4.98 tff(func_def_3044, type, sK2253: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3045, type, sK2254: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3046, type, sK2255: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_3047, type, sK2256: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_3048, type, sK2257: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_3049, type, sK2258: fun(product_unit,bool) > bool).
% 26.16/4.98 tff(func_def_3050, type, sK2259: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_3051, type, sK2260: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_3052, type, sK2261: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3053, type, sK2262: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0)))) > X0)).
% 26.16/4.98 tff(func_def_3054, type, sK2263: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0)))) > X0)).
% 26.16/4.98 tff(func_def_3055, type, sK2264: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3056, type, sK2265: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0)))) > X0)).
% 26.16/4.98 tff(func_def_3057, type, sK2266: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_3058, type, sK2267: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,bool)),product_prod(option(X0),option(X0)))) > option(X0))).
% 26.16/4.98 tff(func_def_3059, type, sK2268: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 26.16/4.98 tff(func_def_3060, type, sK2269: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 26.16/4.98 tff(func_def_3061, type, sK2270: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 26.16/4.98 tff(func_def_3062, type, sK2271: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 26.16/4.98 tff(func_def_3063, type, sK2272: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > X0)).
% 26.16/4.98 tff(func_def_3064, type, sK2273: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > fun(X0,fun(X0,X0)))).
% 26.16/4.98 tff(func_def_3065, type, sK2274: !>[X0: $tType]:((product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0)))) > option(X0))).
% 26.16/4.98 tff(func_def_3066, type, sK2275: fun(real,bool) > nat).
% 26.16/4.98 tff(func_def_3067, type, sK2276: fun(real,bool) > real).
% 26.16/4.98 tff(func_def_3068, type, sK2277: fun(real,bool) > real).
% 26.16/4.98 tff(func_def_3069, type, sK2278: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3070, type, sK2279: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3071, type, sK2280: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3072, type, sK2281: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3073, type, sK2282: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3074, type, sK2283: !>[X0: $tType]:((set(product_prod(X0,X0))) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_3075, type, sK2284: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3076, type, sK2285: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3077, type, sK2286: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3078, type, sK2287: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3079, type, sK2288: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3080, type, sK2289: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3081, type, sK2290: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3082, type, sK2291: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3083, type, sK2292: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3084, type, sK2293: (fun(nat,real) * fun(nat,real) * nat) > nat).
% 26.16/4.98 tff(func_def_3085, type, sK2294: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_3086, type, sK2295: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3087, type, sK2296: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3088, type, sK2297: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3089, type, sK2298: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3090, type, sK2299: (set(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_3091, type, sK2300: (set(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_3092, type, sK2301: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3093, type, sK2302: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3094, type, sK2303: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3095, type, sK2304: !>[X0: $tType]:((set(product_prod(X0,X0))) > product_prod(X0,X0))).
% 26.16/4.98 tff(func_def_3096, type, sK2305: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3097, type, sK2306: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3098, type, sK2307: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3099, type, sK2308: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3100, type, sK2309: !>[X0: $tType]:((list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3101, type, sK2310: !>[X0: $tType]:((set(product_prod(X0,X0))) > product_prod(X0,X0))).
% 26.16/4.98 tff(func_def_3102, type, sK2311: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3103, type, sK2312: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3104, type, sK2313: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3105, type, sK2314: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3106, type, sK2315: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3107, type, sK2316: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3108, type, sK2317: !>[X0: $tType]:((set(product_prod(X0,X0))) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_3109, type, sK2318: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_3110, type, sK2319: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3111, type, sK2320: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3112, type, sK2321: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3113, type, sK2322: !>[X0: $tType]:((set(product_prod(X0,X0))) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_3114, type, sK2323: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3115, type, sK2324: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3116, type, sK2325: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3117, type, sK2326: !>[X0: $tType]:((set(product_prod(X0,X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3118, type, sK2327: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3119, type, sK2328: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3120, type, sK2329: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3121, type, sK2330: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3122, type, sK2331: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3123, type, sK2332: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3124, type, sK2333: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3125, type, sK2334: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3126, type, sK2335: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3127, type, sK2336: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3128, type, sK2337: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3129, type, sK2338: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3130, type, sK2339: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3131, type, sK2340: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3132, type, sK2341: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3133, type, sK2342: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3134, type, sK2343: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3135, type, sK2344: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3136, type, sK2345: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3137, type, sK2346: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_3138, type, sK2347: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3139, type, sK2348: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3140, type, sK2349: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3141, type, sK2350: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3142, type, sK2351: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3143, type, sK2352: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3144, type, sK2353: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_3145, type, sK2354: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3146, type, sK2355: (nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3147, type, sK2356: (nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3148, type, sK2357: (nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3149, type, sK2358: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3150, type, sK2359: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3151, type, sK2360: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_3152, type, sK2361: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_3153, type, sK2362: (list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_3154, type, sK2363: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3155, type, sK2364: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 26.16/4.98 tff(func_def_3156, type, sK2365: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3157, type, sK2366: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3158, type, sK2367: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_3159, type, sK2368: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_3160, type, sK2369: (list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_3161, type, sK2370: (list(vEBT_VEBT) * nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3162, type, sK2371: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 26.16/4.98 tff(func_def_3163, type, sK2372: !>[X0: $tType]:((option(X0)) > X0)).
% 26.16/4.98 tff(func_def_3164, type, sK2373: (extended_enat * nat) > nat).
% 26.16/4.98 tff(func_def_3165, type, sK2374: (nat * extended_enat) > nat).
% 26.16/4.98 tff(func_def_3166, type, sK2375: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3167, type, sK2376: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3168, type, sK2377: !>[X0: $tType]:((list(list(X0))) > list(X0))).
% 26.16/4.98 tff(func_def_3169, type, sK2378: !>[X0: $tType]:((set(X0)) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_3170, type, sK2379: !>[X0: $tType]:((set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3171, type, sK2380: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3172, type, sK2381: !>[X0: $tType]:((product_prod(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_3173, type, sK2382: (int * int) > nat).
% 26.16/4.98 tff(func_def_3174, type, sK2383: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3175, type, sK2384: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3176, type, sK2385: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3177, type, sK2386: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3178, type, sK2387: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3179, type, sK2388: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3180, type, sK2389: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3181, type, sK2390: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3182, type, sK2391: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3183, type, sK2392: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3184, type, sK2393: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3185, type, sK2394: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3186, type, sK2395: !>[X0: $tType]:((set(X0) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_3187, type, sK2396: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3188, type, sK2397: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3189, type, sK2398: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3190, type, sK2399: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3191, type, sK2400: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3192, type, sK2401: !>[X0: $tType]:((fun(option(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_3193, type, sK2402: !>[X0: $tType]:((fun(option(X0),bool)) > option(X0))).
% 26.16/4.98 tff(func_def_3194, type, sK2403: !>[X0: $tType]:((option(X0)) > X0)).
% 26.16/4.98 tff(func_def_3195, type, sK2404: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3196, type, sK2405: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3197, type, sK2406: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3198, type, sK2407: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3199, type, sK2408: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3200, type, sK2409: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3201, type, sK2410: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3202, type, sK2411: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3203, type, sK2412: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3204, type, sK2413: !>[X0: $tType]:((fun(option(X0),bool)) > option(X0))).
% 26.16/4.98 tff(func_def_3205, type, sK2414: !>[X0: $tType]:((fun(option(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_3206, type, sK2415: !>[X0: $tType]:((set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3207, type, sK2416: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3208, type, sK2417: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3209, type, sK2418: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3210, type, sK2419: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3211, type, sK2420: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3212, type, sK2421: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3213, type, sK2422: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3214, type, sK2423: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3215, type, sK2424: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > fun(nat,fun(X0,X0)))).
% 26.16/4.98 tff(func_def_3216, type, sK2425: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > nat)).
% 26.16/4.98 tff(func_def_3217, type, sK2426: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > nat)).
% 26.16/4.98 tff(func_def_3218, type, sK2427: !>[X0: $tType]:((product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0)))) > X0)).
% 26.16/4.98 tff(func_def_3219, type, sK2428: !>[X0: $tType]:((nat) > list(X0))).
% 26.16/4.98 tff(func_def_3220, type, sK2429: (real * nat) > real).
% 26.16/4.98 tff(func_def_3221, type, sK2430: (real * nat) > real).
% 26.16/4.98 tff(func_def_3222, type, sK2431: (real * nat) > real).
% 26.16/4.98 tff(func_def_3223, type, sK2432: (real * nat) > real).
% 26.16/4.98 tff(func_def_3224, type, sK2433: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3225, type, sK2434: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3226, type, sK2435: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3227, type, sK2436: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3228, type, sK2437: (nat * nat) > nat).
% 26.16/4.98 tff(func_def_3229, type, sK2438: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X0,X1) * fun(X2,X0)) > X2)).
% 26.16/4.98 tff(func_def_3230, type, sK2439: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_3231, type, sK2440: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_3232, type, sK2441: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X2)).
% 26.16/4.98 tff(func_def_3233, type, sK2442: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 26.16/4.98 tff(func_def_3234, type, sK2443: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1)) > X2)).
% 26.16/4.98 tff(func_def_3235, type, sK2444: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 26.16/4.98 tff(func_def_3236, type, sK2445: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1)) > X2)).
% 26.16/4.98 tff(func_def_3237, type, sK2446: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_3238, type, sK2447: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X2)).
% 26.16/4.98 tff(func_def_3239, type, sK2448: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1)) > X0)).
% 26.16/4.98 tff(func_def_3240, type, sK2449: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_3241, type, sK2450: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_3242, type, sK2451: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_3243, type, sK2452: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_3244, type, sK2453: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_3245, type, sK2454: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_3246, type, sK2455: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_3247, type, sK2456: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_3248, type, sK2457: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_3249, type, sK2458: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1)) > X2)).
% 26.16/4.98 tff(func_def_3250, type, sK2459: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3251, type, sK2460: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3252, type, sK2461: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 26.16/4.98 tff(func_def_3253, type, sK2462: !>[X0: $tType]:((list(X0) * set(nat)) > nat)).
% 26.16/4.98 tff(func_def_3254, type, sK2463: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3255, type, sK2464: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3256, type, sK2465: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_3257, type, sK2466: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3258, type, sK2467: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3259, type, sK2468: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3260, type, sK2469: !>[X0: $tType]:((list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3261, type, sK2470: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3262, type, sK2471: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3263, type, sK2472: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3264, type, sK2473: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3265, type, sK2474: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3266, type, sK2475: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3267, type, sK2476: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3268, type, sK2477: (int * int * product_prod(int,int)) > int).
% 26.16/4.98 tff(func_def_3269, type, sK2478: (int * int * product_prod(int,int)) > int).
% 26.16/4.98 tff(func_def_3270, type, sK2479: (int * int * product_prod(int,int)) > int).
% 26.16/4.98 tff(func_def_3271, type, sK2480: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3272, type, sK2481: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3273, type, sK2482: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3274, type, sK2483: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3275, type, sK2484: (nat * vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3276, type, sK2485: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3277, type, sK2486: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3278, type, sK2487: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3279, type, sK2488: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3280, type, sK2489: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3281, type, sK2490: (vEBT_VEBT * nat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3282, type, sK2491: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3283, type, sK2492: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3284, type, sK2493: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3285, type, sK2494: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3286, type, sK2495: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3287, type, sK2496: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3288, type, sK2497: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3289, type, sK2498: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3290, type, sK2499: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3291, type, sK2500: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3292, type, sK2501: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3293, type, sK2502: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3294, type, sK2503: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3295, type, sK2504: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3296, type, sK2505: (vEBT_VEBT * extended_enat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3297, type, sK2506: (vEBT_VEBT * extended_enat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3298, type, sK2507: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3299, type, sK2508: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3300, type, sK2509: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3301, type, sK2510: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3302, type, sK2511: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3303, type, sK2512: (vEBT_VEBT * extended_enat * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3304, type, sK2513: (vEBT_VEBT * extended_enat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3305, type, sK2514: (vEBT_VEBT * extended_enat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3306, type, sK2515: (vEBT_VEBT * extended_enat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3307, type, sK2516: (vEBT_VEBT * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3308, type, sK2517: (vEBT_VEBT * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3309, type, sK2518: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3310, type, sK2519: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3311, type, sK2520: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3312, type, sK2521: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3313, type, sK2522: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3314, type, sK2523: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3315, type, sK2524: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3316, type, sK2525: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3317, type, sK2526: (num * num) > num).
% 26.16/4.98 tff(func_def_3318, type, sK2527: (num * num) > num).
% 26.16/4.98 tff(func_def_3319, type, sK2528: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3320, type, sK2529: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3321, type, sK2530: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3322, type, sK2531: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3323, type, sK2532: num > num).
% 26.16/4.98 tff(func_def_3324, type, sK2533: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3325, type, sK2534: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3326, type, sK2535: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3327, type, sK2536: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3328, type, sK2537: num > num).
% 26.16/4.98 tff(func_def_3329, type, sK2538: (num * num) > num).
% 26.16/4.98 tff(func_def_3330, type, sK2539: (num * num) > num).
% 26.16/4.98 tff(func_def_3331, type, sK2540: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3332, type, sK2541: (num * num * num) > num).
% 26.16/4.98 tff(func_def_3333, type, sK2542: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3334, type, sK2543: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3335, type, sK2544: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3336, type, sK2545: (nat * vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3337, type, sK2546: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3338, type, sK2547: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3339, type, sK2548: (nat * vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3340, type, sK2549: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3341, type, sK2550: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3342, type, sK2551: (nat * vEBT_VEBT * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3343, type, sK2552: (nat * vEBT_VEBT * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3344, type, sK2553: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3345, type, sK2554: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3346, type, sK2555: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3347, type, sK2556: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3348, type, sK2557: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3349, type, sK2558: (vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3350, type, sK2559: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3351, type, sK2560: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3352, type, sK2561: (vEBT_VEBT * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3353, type, sK2562: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3354, type, sK2563: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3355, type, sK2564: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3356, type, sK2565: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3357, type, sK2566: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3358, type, sK2567: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3359, type, sK2568: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3360, type, sK2569: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3361, type, sK2570: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3362, type, sK2571: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3363, type, sK2572: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3364, type, sK2573: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3365, type, sK2574: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3366, type, sK2575: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3367, type, sK2576: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3368, type, sK2577: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3369, type, sK2578: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3370, type, sK2579: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3371, type, sK2580: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3372, type, sK2581: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3373, type, sK2582: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3374, type, sK2583: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3375, type, sK2584: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3376, type, sK2585: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3377, type, sK2586: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3378, type, sK2587: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3379, type, sK2588: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3380, type, sK2589: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3381, type, sK2590: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3382, type, sK2591: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3383, type, sK2592: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3384, type, sK2593: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3385, type, sK2594: (vEBT_VEBT * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3386, type, sK2595: (vEBT_VEBT * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3387, type, sK2596: (vEBT_VEBT * nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3388, type, sK2597: (vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3389, type, sK2598: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3390, type, sK2599: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3391, type, sK2600: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3392, type, sK2601: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3393, type, sK2602: nat > nat).
% 26.16/4.98 tff(func_def_3394, type, sK2603: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3395, type, sK2604: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3396, type, sK2605: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3397, type, sK2606: (vEBT_VEBT * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3398, type, sK2607: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3399, type, sK2608: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3400, type, sK2609: (nat * vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3401, type, sK2610: (nat * vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3402, type, sK2611: (nat * vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3403, type, sK2612: (vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3404, type, sK2613: (vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3405, type, sK2614: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3406, type, sK2615: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3407, type, sK2616: (vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3408, type, sK2617: (vEBT_VEBT * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3409, type, sK2618: (vEBT_VEBT * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3410, type, sK2619: (vEBT_VEBT * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3411, type, sK2620: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3412, type, sK2621: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3413, type, sK2622: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3414, type, sK2623: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3415, type, sK2624: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3416, type, sK2625: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3417, type, sK2626: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3418, type, sK2627: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3419, type, sK2628: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3420, type, sK2629: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3421, type, sK2630: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3422, type, sK2631: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3423, type, sK2632: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3424, type, sK2633: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3425, type, sK2634: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3426, type, sK2635: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3427, type, sK2636: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3428, type, sK2637: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3429, type, sK2638: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3430, type, sK2639: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3431, type, sK2640: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3432, type, sK2641: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3433, type, sK2642: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3434, type, sK2643: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3435, type, sK2644: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3436, type, sK2645: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3437, type, sK2646: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3438, type, sK2647: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3439, type, sK2648: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3440, type, sK2649: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3441, type, sK2650: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3442, type, sK2651: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3443, type, sK2652: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3444, type, sK2653: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3445, type, sK2654: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3446, type, sK2655: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3447, type, sK2656: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3448, type, sK2657: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3449, type, sK2658: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3450, type, sK2659: num > num).
% 26.16/4.98 tff(func_def_3451, type, sK2660: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3452, type, sK2661: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3453, type, sK2662: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3454, type, sK2663: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3455, type, sK2664: num > num).
% 26.16/4.98 tff(func_def_3456, type, sK2665: num > num).
% 26.16/4.98 tff(func_def_3457, type, sK2666: num > num).
% 26.16/4.98 tff(func_def_3458, type, sK2667: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3459, type, sK2668: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3460, type, sK2669: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3461, type, sK2670: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3462, type, sK2671: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3463, type, sK2672: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3464, type, sK2673: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3465, type, sK2674: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3466, type, sK2675: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3467, type, sK2676: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3468, type, sK2677: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3469, type, sK2678: (option(num) * num) > num).
% 26.16/4.98 tff(func_def_3470, type, sK2679: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3471, type, sK2680: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3472, type, sK2681: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3473, type, sK2682: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3474, type, sK2683: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3475, type, sK2684: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3476, type, sK2685: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3477, type, sK2686: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3478, type, sK2687: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3479, type, sK2688: (option(num) * num * num) > num).
% 26.16/4.98 tff(func_def_3480, type, sK2689: num > num).
% 26.16/4.98 tff(func_def_3481, type, sK2690: num > num).
% 26.16/4.98 tff(func_def_3482, type, sK2691: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3483, type, sK2692: (num * num * option(num)) > num).
% 26.16/4.98 tff(func_def_3484, type, sK2693: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3485, type, sK2694: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3486, type, sK2695: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3487, type, sK2696: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3488, type, sK2697: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3489, type, sK2698: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3490, type, sK2699: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3491, type, sK2700: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3492, type, sK2701: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3493, type, sK2702: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3494, type, sK2703: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3495, type, sK2704: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3496, type, sK2705: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3497, type, sK2706: (option(nat) * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3498, type, sK2707: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3499, type, sK2708: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3500, type, sK2709: (vEBT_VEBT * nat * option(nat)) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3501, type, sK2710: (vEBT_VEBT * nat * option(nat)) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3502, type, sK2711: (vEBT_VEBT * nat * option(nat)) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3503, type, sK2712: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_3504, type, sK2713: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3505, type, sK2714: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3506, type, sK2715: (option(nat) * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3507, type, sK2716: (option(nat) * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3508, type, sK2717: (option(nat) * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3509, type, sK2718: (option(nat) * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3510, type, sK2719: (option(nat) * nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3511, type, sK2720: nat > nat).
% 26.16/4.98 tff(func_def_3512, type, sK2721: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3513, type, sK2722: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3514, type, sK2723: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3515, type, sK2724: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3516, type, sK2725: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3517, type, sK2726: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3518, type, sK2727: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3519, type, sK2728: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3520, type, sK2729: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3521, type, sK2730: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3522, type, sK2731: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3523, type, sK2732: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3524, type, sK2733: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3525, type, sK2734: (nat * option(nat) * vEBT_VEBT) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3526, type, sK2735: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3527, type, sK2736: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3528, type, sK2737: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3529, type, sK2738: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3530, type, sK2739: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3531, type, sK2740: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3532, type, sK2741: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3533, type, sK2742: (nat * option(nat) * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3534, type, sK2743: (nat * option(nat) * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3535, type, sK2744: (nat * option(nat) * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3536, type, sK2745: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3537, type, sK2746: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3538, type, sK2747: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3539, type, sK2748: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3540, type, sK2749: (bool * bool * option(nat) * nat) > nat).
% 26.16/4.98 tff(func_def_3541, type, sK2750: (vEBT_VEBT * nat * option(nat)) > bool).
% 26.16/4.98 tff(func_def_3542, type, sK2751: (vEBT_VEBT * nat * option(nat)) > bool).
% 26.16/4.98 tff(func_def_3543, type, sK2752: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_3544, type, sK2753: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3545, type, sK2754: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3546, type, sK2755: (option(nat) * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3547, type, sK2756: (option(nat) * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3548, type, sK2757: (option(nat) * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3549, type, sK2758: (option(nat) * nat * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3550, type, sK2759: (option(nat) * nat * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3551, type, sK2760: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3552, type, sK2761: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3553, type, sK2762: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3554, type, sK2763: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3555, type, sK2764: nat > nat).
% 26.16/4.98 tff(func_def_3556, type, sK2765: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3557, type, sK2766: (option(nat) * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3558, type, sK2767: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3559, type, sK2768: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3560, type, sK2769: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3561, type, sK2770: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3562, type, sK2771: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3563, type, sK2772: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3564, type, sK2773: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3565, type, sK2774: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3566, type, sK2775: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_3567, type, sK2776: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3568, type, sK2777: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_3569, type, sK2778: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3570, type, sK2779: fun(nat,bool) > nat).
% 26.16/4.98 tff(func_def_3571, type, sK2780: !>[X0: $tType]:((set(set(X0)) * fun(set(X0),set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3572, type, sK2781: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3573, type, sK2782: !>[X0: $tType]:((set(filter(X0))) > filter(X0))).
% 26.16/4.98 tff(func_def_3574, type, sK2783: !>[X0: $tType]:((set(filter(X0))) > filter(X0))).
% 26.16/4.98 tff(func_def_3575, type, sK2784: !>[X0: $tType]:((set(filter(X0)) * fun(X0,bool)) > filter(X0))).
% 26.16/4.98 tff(func_def_3576, type, sK2785: !>[X0: $tType]:((set(X0) * X0) > fun(X0,X0))).
% 26.16/4.98 tff(func_def_3577, type, sK2786: !>[X0: $tType]:((set(X0) * X0) > fun(X0,X0))).
% 26.16/4.98 tff(func_def_3578, type, sK2787: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 26.16/4.98 tff(func_def_3579, type, sK2788: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > product_prod(list(X0),list(X0)))).
% 26.16/4.98 tff(func_def_3580, type, sK2789: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_3581, type, sK2790: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3582, type, sK2791: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_3583, type, sK2792: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_3584, type, sK2793: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3585, type, sK2794: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3586, type, sK2795: !>[X0: $tType]:((set(X0) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3587, type, sK2796: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_3588, type, sK2797: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3589, type, sK2798: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(set(X0)))).
% 26.16/4.98 tff(func_def_3590, type, sK2799: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3591, type, sK2800: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3592, type, sK2801: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3593, type, sK2802: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3594, type, sK2803: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3595, type, sK2804: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3596, type, sK2805: !>[X0: $tType]:((fun(X0,nat) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_3597, type, sK2806: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3598, type, sK2807: (nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3599, type, sK2808: (nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3600, type, sK2809: (nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3601, type, sK2810: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3602, type, sK2811: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3603, type, sK2812: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3604, type, sK2813: !>[X0: $tType]:((set(set(X0)) * nat) > set(X0))).
% 26.16/4.98 tff(func_def_3605, type, sK2814: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 26.16/4.98 tff(func_def_3606, type, sK2815: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 26.16/4.98 tff(func_def_3607, type, sK2816: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 26.16/4.98 tff(func_def_3608, type, sK2817: (nat * set(nat)) > nat).
% 26.16/4.98 tff(func_def_3609, type, sK2818: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3610, type, sK2819: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3611, type, sK2820: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3612, type, sK2821: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3613, type, sK2822: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3614, type, sK2823: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3615, type, sK2824: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3616, type, sK2825: (nat * nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3617, type, sK2826: (nat * nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3618, type, sK2827: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3619, type, sK2828: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3620, type, sK2829: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3621, type, sK2830: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3622, type, sK2831: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3623, type, sK2832: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3624, type, sK2833: !>[X0: $tType]:((X0 * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3625, type, sK2834: !>[X0: $tType]:((X0 * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3626, type, sK2835: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3627, type, sK2836: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3628, type, sK2837: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3629, type, sK2838: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3630, type, sK2839: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3631, type, sK2840: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3632, type, sK2841: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3633, type, sK2842: !>[X0: $tType]:((set(set(X0)) * nat) > set(X0))).
% 26.16/4.98 tff(func_def_3634, type, sK2843: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3635, type, sK2844: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3636, type, sK2845: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3637, type, sK2846: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3638, type, sK2847: !>[X0: $tType]:((X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3639, type, sK2848: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3640, type, sK2849: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3641, type, sK2850: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3642, type, sK2851: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3643, type, sK2852: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3644, type, sK2853: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3645, type, sK2854: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3646, type, sK2855: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3647, type, sK2856: fun(int,fun(int,bool)) > int).
% 26.16/4.98 tff(func_def_3648, type, sK2857: fun(int,fun(int,bool)) > int).
% 26.16/4.98 tff(func_def_3649, type, sK2858: fun(int,fun(int,bool)) > int).
% 26.16/4.98 tff(func_def_3650, type, sK2859: fun(int,fun(int,bool)) > int).
% 26.16/4.98 tff(func_def_3651, type, sK2860: !>[X0: $tType]:((X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3652, type, sK2861: !>[X0: $tType]:((product_prod(X0,X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3653, type, sK2862: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3654, type, sK2863: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * fun(X1,fun(X2,X0)) * fun(X1,fun(X2,X0)) * X2 * set(X2)) > X1)).
% 26.16/4.98 tff(func_def_3655, type, sK2864: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * real) > X2)).
% 26.16/4.98 tff(func_def_3656, type, sK2865: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * real) > X1)).
% 26.16/4.98 tff(func_def_3657, type, sK2866: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_3658, type, sK2867: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > real)).
% 26.16/4.98 tff(func_def_3659, type, sK2868: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_3660, type, sK2869: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > real)).
% 26.16/4.98 tff(func_def_3661, type, sK2870: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_3662, type, sK2871: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_3663, type, sK2872: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_3664, type, sK2873: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_3665, type, sK2874: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_3666, type, sK2875: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_3667, type, sK2876: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_3668, type, sK2877: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_3669, type, sK2878: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2)) * real) > X1)).
% 26.16/4.98 tff(func_def_3670, type, sK2879: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2)) * real) > X0)).
% 26.16/4.98 tff(func_def_3671, type, sK2880: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 26.16/4.98 tff(func_def_3672, type, sK2881: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > real)).
% 26.16/4.98 tff(func_def_3673, type, sK2882: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 26.16/4.98 tff(func_def_3674, type, sK2883: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > real)).
% 26.16/4.98 tff(func_def_3675, type, sK2884: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 26.16/4.98 tff(func_def_3676, type, sK2885: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 26.16/4.98 tff(func_def_3677, type, sK2886: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 26.16/4.98 tff(func_def_3678, type, sK2887: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 26.16/4.98 tff(func_def_3679, type, sK2888: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 26.16/4.98 tff(func_def_3680, type, sK2889: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 26.16/4.98 tff(func_def_3681, type, sK2890: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X1)).
% 26.16/4.98 tff(func_def_3682, type, sK2891: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > X0)).
% 26.16/4.98 tff(func_def_3683, type, sK2892: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > real)).
% 26.16/4.98 tff(func_def_3684, type, sK2893: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1))) > X0)).
% 26.16/4.98 tff(func_def_3685, type, sK2894: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_3686, type, sK2895: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_3687, type, sK2896: !>[X0: $tType]:((list(list(X0)) * nat) > nat)).
% 26.16/4.98 tff(func_def_3688, type, sK2897: (nat * bool * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3689, type, sK2898: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3690, type, sK2899: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3691, type, sK2900: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3692, type, sK2901: (nat * bool * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3693, type, sK2902: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3694, type, sK2903: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3695, type, sK2904: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3696, type, sK2905: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3697, type, sK2906: (bool * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3698, type, sK2907: (bool * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3699, type, sK2908: (vEBT_VEBT * nat * bool) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3700, type, sK2909: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3701, type, sK2910: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3702, type, sK2911: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3703, type, sK2912: vEBT_VEBT > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3704, type, sK2913: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3705, type, sK2914: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3706, type, sK2915: (nat * bool * vEBT_VEBT) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3707, type, sK2916: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3708, type, sK2917: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3709, type, sK2918: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3710, type, sK2919: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3711, type, sK2920: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3712, type, sK2921: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3713, type, sK2922: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3714, type, sK2923: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3715, type, sK2924: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3716, type, sK2925: (vEBT_VEBT * nat * bool) > option(product_prod(nat,nat))).
% 26.16/4.98 tff(func_def_3717, type, sK2926: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3718, type, sK2927: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3719, type, sK2928: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3720, type, sK2929: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3721, type, sK2930: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3722, type, sK2931: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3723, type, sK2932: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3724, type, sK2933: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3725, type, sK2934: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3726, type, sK2935: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3727, type, sK2936: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3728, type, sK2937: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3729, type, sK2938: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3730, type, sK2939: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3731, type, sK2940: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3732, type, sK2941: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3733, type, sK2942: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3734, type, sK2943: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3735, type, sK2944: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3736, type, sK2945: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3737, type, sK2946: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3738, type, sK2947: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3739, type, sK2948: vEBT_VEBT > bool).
% 26.16/4.98 tff(func_def_3740, type, sK2949: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3741, type, sK2950: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3742, type, sK2951: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3743, type, sK2952: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3744, type, sK2953: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3745, type, sK2954: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3746, type, sK2955: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3747, type, sK2956: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3748, type, sK2957: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3749, type, sK2958: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3750, type, sK2959: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3751, type, sK2960: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3752, type, sK2961: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3753, type, sK2962: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3754, type, sK2963: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3755, type, sK2964: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3756, type, sK2965: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3757, type, sK2966: (nat * bool * vEBT_VEBT) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3758, type, sK2967: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3759, type, sK2968: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3760, type, sK2969: (nat * bool * vEBT_VEBT) > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3761, type, sK2970: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3762, type, sK2971: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3763, type, sK2972: (nat * bool * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3764, type, sK2973: (nat * bool * vEBT_VEBT) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3765, type, sK2974: (nat * bool * vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3766, type, sK2975: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3767, type, sK2976: (nat * bool * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3768, type, sK2977: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3769, type, sK2978: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3770, type, sK2979: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3771, type, sK2980: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_3772, type, sK2981: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3773, type, sK2982: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3774, type, sK2983: (bool * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3775, type, sK2984: (bool * nat * vEBT_VEBT) > bool).
% 26.16/4.98 tff(func_def_3776, type, sK2985: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3777, type, sK2986: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3778, type, sK2987: (vEBT_VEBT * nat * bool) > nat).
% 26.16/4.98 tff(func_def_3779, type, sK2988: (vEBT_VEBT * nat * bool) > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3780, type, sK2989: (vEBT_VEBT * nat * bool) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3781, type, sK2990: vEBT_VEBT > product_prod(nat,nat)).
% 26.16/4.98 tff(func_def_3782, type, sK2991: vEBT_VEBT > list(vEBT_VEBT)).
% 26.16/4.98 tff(func_def_3783, type, sK2992: vEBT_VEBT > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3784, type, sK2993: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3785, type, sK2994: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3786, type, sK2995: !>[X0: $tType]:((fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3787, type, sK2996: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3788, type, sK2997: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3789, type, sK2998: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3790, type, sK2999: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3791, type, sK3000: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 26.16/4.98 tff(func_def_3792, type, sK3001: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 26.16/4.98 tff(func_def_3793, type, sK3002: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > nat)).
% 26.16/4.98 tff(func_def_3794, type, sK3003: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 26.16/4.98 tff(func_def_3795, type, sK3004: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3796, type, sK3005: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3797, type, sK3006: !>[X0: $tType]:((fun(nat,set(X0)) * set(X0)) > nat)).
% 26.16/4.98 tff(func_def_3798, type, sK3007: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3799, type, sK3008: !>[X0: $tType]:((fun(set(X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_3800, type, sK3009: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3801, type, sK3010: !>[X0: $tType]:((fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3802, type, sK3011: !>[X0: $tType]:((set(X0) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_3803, type, sK3012: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_3804, type, sK3013: (nat * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3805, type, sK3014: (nat * fun(nat,int) * int) > nat).
% 26.16/4.98 tff(func_def_3806, type, sK3015: (nat * fun(nat,int)) > nat).
% 26.16/4.98 tff(func_def_3807, type, sK3016: (nat * fun(nat,int) * int) > nat).
% 26.16/4.98 tff(func_def_3808, type, sK3017: (nat * fun(nat,int)) > nat).
% 26.16/4.98 tff(func_def_3809, type, sK3018: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3810, type, sK3019: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3811, type, sK3020: !>[X0: $tType]:((filter(X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_3812, type, sK3021: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3813, type, sK3022: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3814, type, sK3023: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3815, type, sK3024: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3816, type, sK3025: !>[X0: $tType]:((set(set(X0)) * set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3817, type, sK3026: !>[X0: $tType]:((list(X0) * set(nat)) > nat)).
% 26.16/4.98 tff(func_def_3818, type, sK3027: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_3819, type, sK3028: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_3820, type, sK3029: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3821, type, sK3030: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3822, type, sK3031: !>[X0: $tType]:((list(X0) * fun(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_3823, type, sK3032: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3824, type, sK3033: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3825, type, sK3034: (real * fun(nat,real)) > real).
% 26.16/4.98 tff(func_def_3826, type, sK3035: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3827, type, sK3036: !>[X0: $tType]:((list(list(X0)) * nat) > list(X0))).
% 26.16/4.98 tff(func_def_3828, type, sK3037: !>[X0: $tType]:((list(list(X0)) * list(list(X0))) > product_prod(list(X0),list(X0)))).
% 26.16/4.98 tff(func_def_3829, type, sK3038: !>[X0: $tType]:((fun(list(X0),bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3830, type, sK3039: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3831, type, sK3040: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_3832, type, sK3041: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > X0)).
% 26.16/4.98 tff(func_def_3833, type, sK3042: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > list(X0))).
% 26.16/4.98 tff(func_def_3834, type, sK3043: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > list(X1))).
% 26.16/4.98 tff(func_def_3835, type, sK3044: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_3836, type, sK3045: !>[X0: $tType, X1: $tType]:((product_prod(fun(X0,X1),product_prod(list(X0),list(X1)))) > list(X1))).
% 26.16/4.98 tff(func_def_3837, type, sK3046: fun(nat,nat) > nat).
% 26.16/4.98 tff(func_def_3838, type, sK3047: fun(nat,nat) > nat).
% 26.16/4.98 tff(func_def_3839, type, sK3048: fun(nat,nat) > nat).
% 26.16/4.98 tff(func_def_3840, type, sK3049: fun(nat,nat) > nat).
% 26.16/4.98 tff(func_def_3841, type, sK3050: (fun(nat,nat) * nat) > nat).
% 26.16/4.98 tff(func_def_3842, type, sK3051: (fun(nat,nat) * nat) > nat).
% 26.16/4.98 tff(func_def_3843, type, sK3052: (nat * fun(nat,nat)) > nat).
% 26.16/4.98 tff(func_def_3844, type, sK3053: (nat * fun(nat,nat)) > nat).
% 26.16/4.98 tff(func_def_3845, type, sK3054: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3846, type, sK3055: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3847, type, sK3056: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3848, type, sK3057: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3849, type, sK3058: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3850, type, sK3059: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3851, type, sK3060: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3852, type, sK3061: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3853, type, sK3062: fun(nat,fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_3854, type, sK3063: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool))) > X1)).
% 26.16/4.98 tff(func_def_3855, type, sK3064: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3856, type, sK3065: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_3857, type, sK3066: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_3858, type, sK3067: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_3859, type, sK3068: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_3860, type, sK3069: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool)))) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_3861, type, sK3070: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool)))) > X0)).
% 26.16/4.98 tff(func_def_3862, type, sK3071: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * fun(nat,fun(X0,fun(X0,bool)))) > nat)).
% 26.16/4.98 tff(func_def_3863, type, sK3072: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3864, type, sK3073: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3865, type, sK3074: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3866, type, sK3075: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3867, type, sK3076: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3868, type, sK3077: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3869, type, sK3078: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3870, type, sK3079: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3871, type, sK3080: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3872, type, sK3081: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3873, type, sK3082: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3874, type, sK3083: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3875, type, sK3084: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3876, type, sK3085: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3877, type, sK3086: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3878, type, sK3087: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3879, type, sK3088: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3880, type, sK3089: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > list(X0))).
% 26.16/4.98 tff(func_def_3881, type, sK3090: !>[X0: $tType]:((list(X0) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3882, type, sK3091: !>[X0: $tType]:((list(X0) * list(X0)) > product_prod(X0,X0))).
% 26.16/4.98 tff(func_def_3883, type, sK3092: !>[X0: $tType]:((filter(X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_3884, type, sK3093: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3885, type, sK3094: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3886, type, sK3095: (nat * nat * set(nat)) > nat).
% 26.16/4.98 tff(func_def_3887, type, sK3096: (nat * nat * set(nat)) > nat).
% 26.16/4.98 tff(func_def_3888, type, sK3097: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_3889, type, sK3098: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_3890, type, sK3099: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_3891, type, sK3100: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3892, type, sK3101: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3893, type, sK3102: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > X0)).
% 26.16/4.98 tff(func_def_3894, type, sK3103: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > X1)).
% 26.16/4.98 tff(func_def_3895, type, sK3104: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > X1)).
% 26.16/4.98 tff(func_def_3896, type, sK3105: (int * int * product_prod(int,int)) > int).
% 26.16/4.98 tff(func_def_3897, type, sK3106: (product_prod(int,int) * int * int) > int).
% 26.16/4.98 tff(func_def_3898, type, sK3107: (product_prod(int,int) * int * int) > int).
% 26.16/4.98 tff(func_def_3899, type, sK3108: (product_prod(int,int) * int * int) > int).
% 26.16/4.98 tff(func_def_3900, type, sK3109: (product_prod(int,int) * int * int) > int).
% 26.16/4.98 tff(func_def_3901, type, sK3110: (product_prod(int,int) * int * int) > int).
% 26.16/4.98 tff(func_def_3902, type, sK3111: (product_prod(int,int) * int * int) > int).
% 26.16/4.98 tff(func_def_3903, type, sK3112: (product_prod(int,int) * int * int) > int).
% 26.16/4.98 tff(func_def_3904, type, sK3113: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3905, type, sK3114: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3906, type, sK3115: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3907, type, sK3116: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3908, type, sK3117: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3909, type, sK3118: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3910, type, sK3119: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > product_prod(X0,X0))).
% 26.16/4.98 tff(func_def_3911, type, sK3120: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_3912, type, sK3121: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3913, type, sK3122: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3914, type, sK3123: (nat * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3915, type, sK3124: (nat * nat * vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_3916, type, sK3125: !>[X0: $tType]:((list(X0) * list(X0) * fun(nat,nat)) > nat)).
% 26.16/4.98 tff(func_def_3917, type, sK3126: !>[X0: $tType]:((list(X0) * list(X0)) > fun(nat,nat))).
% 26.16/4.98 tff(func_def_3918, type, sK3127: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3919, type, sK3128: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3920, type, sK3129: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3921, type, sK3130: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3922, type, sK3131: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3923, type, sK3132: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3924, type, sK3133: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3925, type, sK3134: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3926, type, sK3135: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 26.16/4.98 tff(func_def_3927, type, sK3136: (nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3928, type, sK3137: (nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3929, type, sK3138: (fun(nat,bool) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3930, type, sK3139: (fun(nat,bool) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3931, type, sK3140: (fun(nat,bool) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3932, type, sK3141: (fun(nat,bool) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3933, type, sK3142: (fun(nat,bool) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3934, type, sK3143: (fun(real,bool) * real * nat) > real).
% 26.16/4.98 tff(func_def_3935, type, sK3144: !>[X0: $tType]:((list(X0) * X0) > nat)).
% 26.16/4.98 tff(func_def_3936, type, sK3145: !>[X0: $tType]:((set(X0) * nat) > X0)).
% 26.16/4.98 tff(func_def_3937, type, sK3146: !>[X0: $tType]:((set(X0) * nat) > set(X0))).
% 26.16/4.98 tff(func_def_3938, type, sK3147: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3939, type, sK3148: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3940, type, sK3149: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 26.16/4.98 tff(func_def_3941, type, sK3150: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 26.16/4.98 tff(func_def_3942, type, sK3151: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3943, type, sK3152: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3944, type, sK3153: !>[X0: $tType]:((list(X0) * nat) > X0)).
% 26.16/4.98 tff(func_def_3945, type, sK3154: !>[X0: $tType]:((list(X0) * nat) > list(X0))).
% 26.16/4.98 tff(func_def_3946, type, sK3155: !>[X0: $tType]:((set(X0) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3947, type, sK3156: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3948, type, sK3157: !>[X0: $tType]:((set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3949, type, sK3158: !>[X0: $tType]:((set(filter(X0)) * filter(X0)) > filter(X0))).
% 26.16/4.98 tff(func_def_3950, type, sK3159: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3951, type, sK3160: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3952, type, sK3161: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3953, type, sK3162: (fun(nat,bool) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3954, type, sK3163: (fun(nat,bool) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_3955, type, sK3164: !>[X0: $tType]:((set(filter(X0)) * fun(X0,bool)) > filter(X0))).
% 26.16/4.98 tff(func_def_3956, type, sK3165: !>[X0: $tType]:((filter(X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_3957, type, sK3166: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3958, type, sK3167: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3959, type, sK3168: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3960, type, sK3169: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3961, type, sK3170: !>[X0: $tType]:((set(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3962, type, sK3171: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3963, type, sK3172: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3964, type, sK3173: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3965, type, sK3174: !>[X0: $tType]:((set(product_prod(X0,X0)) * product_prod(set(X0),set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3966, type, sK3175: !>[X0: $tType]:((set(product_prod(X0,X0)) * product_prod(set(X0),set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_3967, type, sK3176: !>[X0: $tType]:((set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_3968, type, sK3177: !>[X0: $tType]:((X0 * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_3969, type, sK3178: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3970, type, sK3179: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3971, type, sK3180: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3972, type, sK3181: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3973, type, sK3182: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3974, type, sK3183: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3975, type, sK3184: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3976, type, sK3185: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3977, type, sK3186: !>[X0: $tType]:((set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3978, type, sK3187: !>[X0: $tType]:((nat * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3979, type, sK3188: !>[X0: $tType]:((nat * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3980, type, sK3189: !>[X0: $tType]:((fun(set(X0),bool) * set(X0) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3981, type, sK3190: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3982, type, sK3191: !>[X0: $tType]:((nat * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_3983, type, sK3192: !>[X0: $tType]:((nat * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_3984, type, sK3193: !>[X0: $tType]:((list(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3985, type, sK3194: (extended_enat * extended_enat * nat) > nat).
% 26.16/4.98 tff(func_def_3986, type, sK3195: (extended_enat * extended_enat * nat) > nat).
% 26.16/4.98 tff(func_def_3987, type, sK3196: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3988, type, sK3197: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_3989, type, sK3198: !>[X0: $tType]:((fun(X0,bool) * set(filter(X0))) > set(filter(X0)))).
% 26.16/4.98 tff(func_def_3990, type, sK3199: !>[X0: $tType]:((fun(X0,bool) * set(filter(X0))) > filter(X0))).
% 26.16/4.98 tff(func_def_3991, type, sK3200: !>[X0: $tType]:((fun(product_prod(X0,X0),bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3992, type, sK3201: !>[X0: $tType]:((fun(product_prod(X0,X0),bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3993, type, sK3202: !>[X0: $tType]:((fun(product_prod(X0,X0),bool) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_3994, type, sK3203: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3995, type, sK3204: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3996, type, sK3205: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_3997, type, sK3206: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_3998, type, sK3207: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_3999, type, sK3208: !>[X0: $tType]:((list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4000, type, sK3209: !>[X0: $tType]:((list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4001, type, sK3210: !>[X0: $tType, X1: $tType]:((list(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4002, type, sK3211: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * nat) > nat)).
% 26.16/4.98 tff(func_def_4003, type, sK3212: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * nat) > X0)).
% 26.16/4.98 tff(func_def_4004, type, sK3213: !>[X0: $tType]:((nat * fun(nat,fun(X0,bool)) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_4005, type, sK3214: !>[X0: $tType]:((nat * fun(nat,fun(X0,bool))) > list(X0))).
% 26.16/4.98 tff(func_def_4006, type, sK3215: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4007, type, sK3216: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > nat)).
% 26.16/4.98 tff(func_def_4008, type, sK3217: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4009, type, sK3218: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4010, type, sK3219: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4011, type, sK3220: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4012, type, sK3221: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4013, type, sK3222: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4014, type, sK3223: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4015, type, sK3224: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4016, type, sK3225: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4017, type, sK3226: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4018, type, sK3227: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4019, type, sK3228: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_4020, type, sK3229: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X1)).
% 26.16/4.98 tff(func_def_4021, type, sK3230: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_4022, type, sK3231: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1)) > X1)).
% 26.16/4.98 tff(func_def_4023, type, sK3232: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4024, type, sK3233: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4025, type, sK3234: (fun(real,real) * real) > real).
% 26.16/4.98 tff(func_def_4026, type, sK3235: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4027, type, sK3236: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4028, type, sK3237: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4029, type, sK3238: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4030, type, sK3239: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4031, type, sK3240: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4032, type, sK3241: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4033, type, sK3242: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4034, type, sK3243: !>[X0: $tType, X1: $tType]:((fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4035, type, sK3244: !>[X0: $tType, X1: $tType]:((fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4036, type, sK3245: !>[X0: $tType, X1: $tType]:((fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1))) > X1)).
% 26.16/4.98 tff(func_def_4037, type, sK3246: !>[X0: $tType, X1: $tType]:((fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4038, type, sK3247: !>[X0: $tType, X1: $tType]:((fun(fun(X1,X0),fun(X1,fun(X0,bool)))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4039, type, sK3248: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,bool)))) > X1)).
% 26.16/4.98 tff(func_def_4040, type, sK3249: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,bool)))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4041, type, sK3250: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4042, type, sK3251: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_4043, type, sK3252: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4044, type, sK3253: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_4045, type, sK3254: (fun(nat,bool) * fun(nat,bool)) > nat).
% 26.16/4.98 tff(func_def_4046, type, sK3255: (fun(nat,bool) * nat) > nat).
% 26.16/4.98 tff(func_def_4047, type, sK3256: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4048, type, sK3257: !>[X0: $tType]:((fun(X0,bool) * option(X0)) > X0)).
% 26.16/4.98 tff(func_def_4049, type, sK3258: !>[X0: $tType]:((set(X0) * set(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4050, type, sK3259: !>[X0: $tType]:((set(X0) * set(X0) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4051, type, sK3260: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4052, type, sK3261: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_4053, type, sK3262: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4054, type, sK3263: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4055, type, sK3264: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4056, type, sK3265: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4057, type, sK3266: !>[X0: $tType]:((set(X0) * set(set(X0))) > set(X0))).
% 26.16/4.98 tff(func_def_4058, type, sK3267: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4059, type, sK3268: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4060, type, sK3269: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4061, type, sK3270: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X1) > X0)).
% 26.16/4.98 tff(func_def_4062, type, sK3271: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X1) > X0)).
% 26.16/4.98 tff(func_def_4063, type, sK3272: !>[X0: $tType]:((list(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4064, type, sK3273: !>[X0: $tType, X1: $tType]:((fun(fun(X1,option(X0)),bool)) > X1)).
% 26.16/4.98 tff(func_def_4065, type, sK3274: !>[X0: $tType, X1: $tType]:((fun(fun(X1,option(X0)),bool)) > X0)).
% 26.16/4.98 tff(func_def_4066, type, sK3275: !>[X0: $tType, X1: $tType]:((fun(fun(X1,option(X0)),bool)) > fun(X1,option(X0)))).
% 26.16/4.98 tff(func_def_4067, type, sK3276: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 26.16/4.98 tff(func_def_4068, type, sK3277: fun(nat,fun(real,real)) > nat).
% 26.16/4.98 tff(func_def_4069, type, sK3278: fun(nat,fun(real,real)) > real).
% 26.16/4.98 tff(func_def_4070, type, sK3279: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 26.16/4.98 tff(func_def_4071, type, sK3280: fun(nat,fun(real,real)) > nat).
% 26.16/4.98 tff(func_def_4072, type, sK3281: fun(nat,fun(real,real)) > real).
% 26.16/4.98 tff(func_def_4073, type, sK3282: (fun(nat,fun(real,real)) * real * nat) > nat).
% 26.16/4.98 tff(func_def_4074, type, sK3283: (fun(nat,fun(real,real)) * real * nat) > real).
% 26.16/4.98 tff(func_def_4075, type, sK3284: (fun(nat,fun(real,real)) * fun(real,real) * nat * real) > real).
% 26.16/4.98 tff(func_def_4076, type, sK3285: (nat * set(nat)) > nat).
% 26.16/4.98 tff(func_def_4077, type, sK3286: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4078, type, sK3287: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4079, type, sK3288: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4080, type, sK3289: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * set(product_prod(X0,X0))) > X1)).
% 26.16/4.98 tff(func_def_4081, type, sK3290: (fun(nat,fun(real,real)) * real * nat) > nat).
% 26.16/4.98 tff(func_def_4082, type, sK3291: (fun(nat,fun(real,real)) * real * nat) > real).
% 26.16/4.98 tff(func_def_4083, type, sK3292: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 26.16/4.98 tff(func_def_4084, type, sK3293: (fun(nat,fun(real,real)) * real * nat) > nat).
% 26.16/4.98 tff(func_def_4085, type, sK3294: (fun(nat,fun(real,real)) * real * nat) > real).
% 26.16/4.98 tff(func_def_4086, type, sK3295: (real * fun(nat,fun(real,real)) * fun(real,real) * nat) > real).
% 26.16/4.98 tff(func_def_4087, type, sK3296: (fun(nat,fun(real,real)) * real * nat) > nat).
% 26.16/4.98 tff(func_def_4088, type, sK3297: (fun(nat,fun(real,real)) * real * nat) > real).
% 26.16/4.98 tff(func_def_4089, type, sK3298: (real * nat * fun(nat,fun(real,real)) * fun(real,real)) > real).
% 26.16/4.98 tff(func_def_4090, type, sK3299: (real * fun(real,real) * fun(nat,real) * nat) > real).
% 26.16/4.98 tff(func_def_4091, type, sK3300: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4092, type, sK3301: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4093, type, sK3302: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4094, type, sK3303: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4095, type, sK3304: !>[X0: $tType]:((set(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4096, type, sK3305: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4097, type, sK3306: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 26.16/4.98 tff(func_def_4098, type, sK3307: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4099, type, sK3308: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > X1)).
% 26.16/4.98 tff(func_def_4100, type, sK3309: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4101, type, sK3310: !>[X0: $tType, X1: $tType]:((X0 * fun(X0,option(X1))) > X1)).
% 26.16/4.98 tff(func_def_4102, type, sK3311: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4103, type, sK3312: !>[X0: $tType]:((nat * list(X0) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_4104, type, sK3313: !>[X0: $tType]:((set(X0) * set(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4105, type, sK3314: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4106, type, sK3315: !>[X0: $tType]:((X0 * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4107, type, sK3316: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4108, type, sK3317: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * product_prod(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_4109, type, sK3318: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * product_prod(X0,X1)) > X1)).
% 26.16/4.98 tff(func_def_4110, type, sK3319: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4111, type, sK3320: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4112, type, sK3321: !>[X0: $tType, X1: $tType]:((X0 * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4113, type, sK3322: !>[X0: $tType, X1: $tType]:((X1 * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4114, type, sK3323: !>[X0: $tType, X1: $tType]:((X1 * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4115, type, sK3324: !>[X0: $tType, X1: $tType]:((X0 * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4116, type, sK3325: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4117, type, sK3326: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1) * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4118, type, sK3327: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1) * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4119, type, sK3328: !>[X0: $tType]:((set(X0) * set(X0) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4120, type, sK3329: !>[X0: $tType]:((set(X0) * set(X0) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4121, type, sK3330: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4122, type, sK3331: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4123, type, sK3332: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4124, type, sK3333: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4125, type, sK3334: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4126, type, sK3335: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4127, type, sK3336: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4128, type, sK3337: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4129, type, sK3338: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4130, type, sK3339: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4131, type, sK3340: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4132, type, sK3341: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4133, type, sK3342: !>[X0: $tType, X1: $tType]:((list(product_prod(X1,X0)) * list(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4134, type, sK3343: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > nat)).
% 26.16/4.98 tff(func_def_4135, type, sK3344: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4136, type, sK3345: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4137, type, sK3346: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4138, type, sK3347: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4139, type, sK3348: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4140, type, sK3349: !>[X0: $tType, X1: $tType]:((set(X1) * set(product_prod(X0,X0))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4141, type, sK3350: !>[X0: $tType, X1: $tType]:((set(X1)) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_4142, type, sK3351: !>[X0: $tType, X1: $tType]:((set(X1)) > set(X0))).
% 26.16/4.98 tff(func_def_4143, type, sK3352: (fun(nat,fun(real,real)) * fun(real,real) * real * nat) > real).
% 26.16/4.98 tff(func_def_4144, type, sK3353: fun(nat,fun(real,real)) > nat).
% 26.16/4.98 tff(func_def_4145, type, sK3354: fun(nat,fun(real,real)) > real).
% 26.16/4.98 tff(func_def_4146, type, sK3355: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * bool * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4147, type, sK3356: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * bool * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4148, type, sK3357: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4149, type, sK3358: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4150, type, sK3359: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * bool) > X0)).
% 26.16/4.98 tff(func_def_4151, type, sK3360: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * bool) > list(X0))).
% 26.16/4.98 tff(func_def_4152, type, sK3361: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4153, type, sK3362: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4154, type, sK3363: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 26.16/4.98 tff(func_def_4155, type, sK3364: !>[X0: $tType]:((fun(nat,set(X0)) * fun(nat,set(X0)) * nat) > nat)).
% 26.16/4.98 tff(func_def_4156, type, sK3365: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,bool) * fun(set(X0),X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4157, type, sK3366: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4158, type, sK3367: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4159, type, sK3368: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4160, type, sK3369: !>[X0: $tType]:((fun(X0,nat) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4161, type, sK3370: !>[X0: $tType]:((nat * fun(X0,bool) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_4162, type, sK3371: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > nat)).
% 26.16/4.98 tff(func_def_4163, type, sK3372: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(product_prod(X0,X0)))) > X1)).
% 26.16/4.98 tff(func_def_4164, type, sK3373: !>[X0: $tType, X1: $tType]:((fun(X1,set(product_prod(X0,X0))) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4165, type, sK3374: !>[X0: $tType, X1: $tType]:((fun(X1,set(product_prod(X0,X0))) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4166, type, sK3375: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(product_prod(X0,X0)))) > X1)).
% 26.16/4.98 tff(func_def_4167, type, sK3376: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,fun(X0,fun(X0,bool)))) > X1)).
% 26.16/4.98 tff(func_def_4168, type, sK3377: !>[X0: $tType]:((set(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4169, type, sK3378: !>[X0: $tType, X1: $tType]:((set(X1) * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4170, type, sK3379: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4171, type, sK3380: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4172, type, sK3381: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,filter(X1))) > X0)).
% 26.16/4.98 tff(func_def_4173, type, sK3382: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X1,X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4174, type, sK3383: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,filter(X1))) > set(X0))).
% 26.16/4.98 tff(func_def_4175, type, sK3384: !>[X0: $tType]:((set(set(X0)) * X0) > set(X0))).
% 26.16/4.98 tff(func_def_4176, type, sK3385: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > nat)).
% 26.16/4.98 tff(func_def_4177, type, sK3386: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4178, type, sK3387: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4179, type, sK3388: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4180, type, sK3389: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4181, type, sK3390: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4182, type, sK3391: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4183, type, sK3392: !>[X0: $tType]:((list(X0) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4184, type, sK3393: (fun(nat,int) * nat * nat) > nat).
% 26.16/4.98 tff(func_def_4185, type, sK3394: (nat * nat * fun(nat,int) * int) > nat).
% 26.16/4.98 tff(func_def_4186, type, sK3395: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),bool)) > X1)).
% 26.16/4.98 tff(func_def_4187, type, sK3396: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),bool)) > X0)).
% 26.16/4.98 tff(func_def_4188, type, sK3397: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4189, type, sK3398: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4190, type, sK3399: !>[X0: $tType, X1: $tType]:((product_prod(X1,X0) * fun(X1,fun(X0,bool))) > X1)).
% 26.16/4.98 tff(func_def_4191, type, sK3400: !>[X0: $tType, X1: $tType]:((product_prod(X1,X0) * fun(X1,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4192, type, sK3401: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 26.16/4.98 tff(func_def_4193, type, sK3402: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 26.16/4.98 tff(func_def_4194, type, sK3403: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 26.16/4.98 tff(func_def_4195, type, sK3404: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 26.16/4.98 tff(func_def_4196, type, sK3405: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4197, type, sK3406: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4198, type, sK3407: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4199, type, sK3408: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4200, type, sK3409: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4201, type, sK3410: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4202, type, sK3411: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4203, type, sK3412: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4204, type, sK3413: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4205, type, sK3414: !>[X0: $tType, X1: $tType]:((fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4206, type, sK3415: !>[X0: $tType]:((fun(set(X0),X0) * fun(X0,bool) * fun(X0,fun(X0,bool))) > set(X0))).
% 26.16/4.98 tff(func_def_4207, type, sK3416: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4208, type, sK3417: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4209, type, sK3418: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4210, type, sK3419: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X1) > X0)).
% 26.16/4.98 tff(func_def_4211, type, sK3420: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X1) > X1)).
% 26.16/4.98 tff(func_def_4212, type, sK3421: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4213, type, sK3422: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4214, type, sK3423: !>[X0: $tType, X1: $tType]:((X1 * product_prod(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_4215, type, sK3424: !>[X0: $tType, X1: $tType]:((X0 * product_prod(X0,X1)) > X1)).
% 26.16/4.98 tff(func_def_4216, type, sK3425: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4217, type, sK3426: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4218, type, sK3427: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 26.16/4.98 tff(func_def_4219, type, sK3428: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 26.16/4.98 tff(func_def_4220, type, sK3429: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > nat)).
% 26.16/4.98 tff(func_def_4221, type, sK3430: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > nat)).
% 26.16/4.98 tff(func_def_4222, type, sK3431: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > nat)).
% 26.16/4.98 tff(func_def_4223, type, sK3432: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > nat)).
% 26.16/4.98 tff(func_def_4224, type, sK3433: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_4225, type, sK3434: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 26.16/4.98 tff(func_def_4226, type, sK3435: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * X1) > X0)).
% 26.16/4.98 tff(func_def_4227, type, sK3436: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X1) > X0)).
% 26.16/4.98 tff(func_def_4228, type, sK3437: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X0) > X1)).
% 26.16/4.98 tff(func_def_4229, type, sK3438: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X1) > X0)).
% 26.16/4.98 tff(func_def_4230, type, sK3439: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X0) > X1)).
% 26.16/4.98 tff(func_def_4231, type, sK3440: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4232, type, sK3441: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4233, type, sK3442: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * product_prod(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_4234, type, sK3443: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * product_prod(X0,X1)) > X1)).
% 26.16/4.98 tff(func_def_4235, type, sK3444: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4236, type, sK3445: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * X0 * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4237, type, sK3446: !>[X0: $tType]:((list(X0) * set(nat) * X0) > nat)).
% 26.16/4.98 tff(func_def_4238, type, sK3447: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > product_prod(X0,X0))).
% 26.16/4.98 tff(func_def_4239, type, sK3448: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X0) > X1)).
% 26.16/4.98 tff(func_def_4240, type, sK3449: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4241, type, sK3450: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4242, type, sK3451: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4243, type, sK3452: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4244, type, sK3453: !>[X0: $tType, X1: $tType]:((X1 * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4245, type, sK3454: !>[X0: $tType, X1: $tType]:((X0 * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4246, type, sK3455: !>[X0: $tType, X1: $tType]:((X1 * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4247, type, sK3456: !>[X0: $tType, X1: $tType]:((X1 * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4248, type, sK3457: !>[X0: $tType, X1: $tType]:((X0 * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4249, type, sK3458: !>[X0: $tType, X1: $tType]:((X0 * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4250, type, sK3459: !>[X0: $tType, X1: $tType]:((fun(X0,set(X1)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4251, type, sK3460: !>[X0: $tType, X1: $tType]:((fun(X0,set(X1)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4252, type, sK3461: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * filter(X1)) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4253, type, sK3462: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * filter(X1)) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4254, type, sK3463: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,bool) * X0) > X0)).
% 26.16/4.98 tff(func_def_4255, type, sK3464: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4256, type, sK3465: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4257, type, sK3466: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4258, type, sK3467: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4259, type, sK3468: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4260, type, sK3469: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4261, type, sK3470: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4262, type, sK3471: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4263, type, sK3472: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4264, type, sK3473: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4265, type, sK3474: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4266, type, sK3475: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4267, type, sK3476: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4268, type, sK3477: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4269, type, sK3478: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4270, type, sK3479: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4271, type, sK3480: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4272, type, sK3481: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4273, type, sK3482: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4274, type, sK3483: !>[X0: $tType]:((fun(X0,bool) * filter(X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4275, type, sK3484: !>[X0: $tType]:((fun(X0,bool) * filter(X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4276, type, sK3485: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4277, type, sK3486: !>[X0: $tType]:((fun(X0,bool) * filter(X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4278, type, sK3487: !>[X0: $tType]:((fun(X0,bool) * filter(X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4279, type, sK3488: !>[X0: $tType]:((set(set(X0)) * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4280, type, sK3489: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4281, type, sK3490: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4282, type, sK3491: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4283, type, sK3492: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4284, type, sK3493: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4285, type, sK3494: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4286, type, sK3495: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4287, type, sK3496: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4288, type, sK3497: !>[X0: $tType]:((X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4289, type, sK3498: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4290, type, sK3499: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > nat)).
% 26.16/4.98 tff(func_def_4291, type, sK3500: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > nat)).
% 26.16/4.98 tff(func_def_4292, type, sK3501: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4293, type, sK3502: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4294, type, sK3503: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4295, type, sK3504: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > set(product_prod(X1,X1)))).
% 26.16/4.98 tff(func_def_4296, type, sK3505: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1))) > set(product_prod(X1,X1)))).
% 26.16/4.98 tff(func_def_4297, type, sK3506: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1))) > set(X1))).
% 26.16/4.98 tff(func_def_4298, type, sK3507: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4299, type, sK3508: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_4300, type, sK3509: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 26.16/4.98 tff(func_def_4301, type, sK3510: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1))) > X0)).
% 26.16/4.98 tff(func_def_4302, type, sK3511: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * fun(X0,option(X1))) > X0)).
% 26.16/4.98 tff(func_def_4303, type, sK3512: !>[X0: $tType]:((nat * X0 * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4304, type, sK3513: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4305, type, sK3514: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4306, type, sK3515: !>[X0: $tType]:((set(X0) * set(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4307, type, sK3516: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4308, type, sK3517: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4309, type, sK3518: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4310, type, sK3519: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > list(X1))).
% 26.16/4.98 tff(func_def_4311, type, sK3520: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X1,X0)) > X0)).
% 26.16/4.98 tff(func_def_4312, type, sK3521: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_4313, type, sK3522: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0)) > fun(X1,X0))).
% 26.16/4.98 tff(func_def_4314, type, sK3523: !>[X0: $tType]:((nat * X0 * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4315, type, sK3524: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4316, type, sK3525: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4317, type, sK3526: !>[X0: $tType]:((fun(X0,bool) * set(X0) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4318, type, sK3527: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X0)).
% 26.16/4.98 tff(func_def_4319, type, sK3528: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X1)).
% 26.16/4.98 tff(func_def_4320, type, sK3529: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,product_prod(X1,X2))) > X2)).
% 26.16/4.98 tff(func_def_4321, type, sK3530: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4322, type, sK3531: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4323, type, sK3532: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4324, type, sK3533: !>[X0: $tType]:((list(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4325, type, sK3534: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4326, type, sK3535: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4327, type, sK3536: (nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_4328, type, sK3537: (nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_4329, type, sK3538: !>[X0: $tType]:((fun(X0,bool) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4330, type, sK3539: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X0)) > X1)).
% 26.16/4.98 tff(func_def_4331, type, sK3540: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X1) > X1)).
% 26.16/4.98 tff(func_def_4332, type, sK3541: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4333, type, sK3542: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4334, type, sK3543: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,filter(X0)) * fun(X0,bool)) > X1)).
% 26.16/4.98 tff(func_def_4335, type, sK3544: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4336, type, sK3545: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat) * nat) > X0)).
% 26.16/4.98 tff(func_def_4337, type, sK3546: !>[X0: $tType]:((fun(X0,bool) * X0 * fun(X0,nat) * nat) > X0)).
% 26.16/4.98 tff(func_def_4338, type, sK3547: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > X0)).
% 26.16/4.98 tff(func_def_4339, type, sK3548: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X0) > X1)).
% 26.16/4.98 tff(func_def_4340, type, sK3549: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,X0)) > X0)).
% 26.16/4.98 tff(func_def_4341, type, sK3550: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4342, type, sK3551: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,fun(X0,bool)) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_4343, type, sK3552: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,fun(X0,bool)) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_4344, type, sK3553: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4345, type, sK3554: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * set(X1) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4346, type, sK3555: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * set(X1) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4347, type, sK3556: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * set(X1) * set(X0)) > X1)).
% 26.16/4.98 tff(func_def_4348, type, sK3557: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4349, type, sK3558: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * set(X1) * fun(X1,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4350, type, sK3559: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,filter(X0)) * fun(X1,fun(X0,bool))) > X1)).
% 26.16/4.98 tff(func_def_4351, type, sK3560: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * set(X1) * fun(X1,filter(X0))) > fun(X1,fun(X0,bool)))).
% 26.16/4.98 tff(func_def_4352, type, sK3561: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * set(X1) * fun(X1,filter(X0)) * X0) > X1)).
% 26.16/4.98 tff(func_def_4353, type, sK3562: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,fun(X0,bool)) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_4354, type, sK3563: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,fun(X0,bool)) * filter(X1)) > X0)).
% 26.16/4.98 tff(func_def_4355, type, sK3564: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4356, type, sK3565: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,set(X0)) * set(X0)) > X1)).
% 26.16/4.98 tff(func_def_4357, type, sK3566: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(set(X1),set(X0)) * set(X0)) > set(X1))).
% 26.16/4.98 tff(func_def_4358, type, sK3567: !>[X0: $tType]:((X0 * set(X0) * X0 * set(X0)) > set(X0))).
% 26.16/4.98 tff(func_def_4359, type, sK3568: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),bool))) > X0)).
% 26.16/4.98 tff(func_def_4360, type, sK3569: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),bool))) > list(X0))).
% 26.16/4.98 tff(func_def_4361, type, sK3570: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),bool))) > X1)).
% 26.16/4.98 tff(func_def_4362, type, sK3571: !>[X0: $tType, X1: $tType]:((fun(list(X0),fun(list(X1),bool))) > list(X1))).
% 26.16/4.98 tff(func_def_4363, type, sK3572: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X1) > X0)).
% 26.16/4.98 tff(func_def_4364, type, sK3573: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X0) > X1)).
% 26.16/4.98 tff(func_def_4365, type, sK3574: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * fun(X0,fun(X1,bool))) > nat)).
% 26.16/4.98 tff(func_def_4366, type, sK3575: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * X0) > X1)).
% 26.16/4.98 tff(func_def_4367, type, sK3576: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4368, type, sK3577: !>[X0: $tType]:((set(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4369, type, sK3578: !>[X0: $tType]:((set(X0) * fun(X0,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4370, type, sK3579: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * filter(X0) * filter(X1)) > filter(product_prod(X0,X1)))).
% 26.16/4.98 tff(func_def_4371, type, sK3580: !>[X0: $tType, X1: $tType]:((X0 * set(product_prod(X1,X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4372, type, sK3581: !>[X0: $tType]:((list(X0) * nat * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_4373, type, sK3582: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > X0)).
% 26.16/4.98 tff(func_def_4374, type, sK3583: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > X0)).
% 26.16/4.98 tff(func_def_4375, type, sK3584: !>[X0: $tType]:((option(X0)) > X0)).
% 26.16/4.98 tff(func_def_4376, type, sK3585: !>[X0: $tType]:((X0 * list(X0) * fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4377, type, sK3586: !>[X0: $tType]:((X0 * list(X0) * fun(X0,bool) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4378, type, sK3587: !>[X0: $tType]:((fun(X0,bool) * list(X0) * X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4379, type, sK3588: !>[X0: $tType]:((fun(X0,bool) * list(X0) * X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4380, type, sK3589: !>[X0: $tType, X1: $tType]:((X1 * fun(X0,option(X1)) * set(X0)) > X0)).
% 26.16/4.98 tff(func_def_4381, type, sK3590: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4382, type, sK3591: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4383, type, sK3592: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1) * set(X0) * fun(X0,set(X1))) > X0)).
% 26.16/4.98 tff(func_def_4384, type, sK3593: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1) * set(X0) * fun(X0,set(X1))) > X1)).
% 26.16/4.98 tff(func_def_4385, type, sK3594: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4386, type, sK3595: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4387, type, sK3596: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4388, type, sK3597: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4389, type, sK3598: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0)) * X0) > X0)).
% 26.16/4.98 tff(func_def_4390, type, sK3599: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4391, type, sK3600: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4392, type, sK3601: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4393, type, sK3602: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4394, type, sK3603: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4395, type, sK3604: !>[X0: $tType]:((set(product_prod(X0,X0)) * fun(X0,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4396, type, sK3605: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4397, type, sK3606: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4398, type, sK3607: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4399, type, sK3608: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4400, type, sK3609: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > X0)).
% 26.16/4.98 tff(func_def_4401, type, sK3610: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > nat)).
% 26.16/4.98 tff(func_def_4402, type, sK3611: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > X0)).
% 26.16/4.98 tff(func_def_4403, type, sK3612: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > nat)).
% 26.16/4.98 tff(func_def_4404, type, sK3613: !>[X0: $tType]:((nat * fun(X0,fun(X0,bool)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4405, type, sK3614: !>[X0: $tType]:((nat * fun(X0,fun(X0,bool)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4406, type, sK3615: !>[X0: $tType]:((nat * fun(X0,fun(X0,bool)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4407, type, sK3616: !>[X0: $tType, X1: $tType]:((X0 * list(product_prod(X0,X1))) > X1)).
% 26.16/4.98 tff(func_def_4408, type, sK3617: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X1)).
% 26.16/4.98 tff(func_def_4409, type, sK3618: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X0)).
% 26.16/4.98 tff(func_def_4410, type, sK3619: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X1))).
% 26.16/4.98 tff(func_def_4411, type, sK3620: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X0))).
% 26.16/4.98 tff(func_def_4412, type, sK3621: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4413, type, sK3622: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 26.16/4.98 tff(func_def_4414, type, sK3623: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 26.16/4.98 tff(func_def_4415, type, sK3624: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > X0)).
% 26.16/4.98 tff(func_def_4416, type, sK3625: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > nat)).
% 26.16/4.98 tff(func_def_4417, type, sK3626: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4418, type, sK3627: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4419, type, sK3628: !>[X0: $tType]:((X0 * X0 * nat * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4420, type, sK3629: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4421, type, sK3630: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4422, type, sK3631: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4423, type, sK3632: !>[X0: $tType]:((X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4424, type, sK3633: !>[X0: $tType]:((list(X0) * X0 * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4425, type, sK3634: !>[X0: $tType]:((list(X0) * X0 * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4426, type, sK3635: !>[X0: $tType]:((X0 * list(X0) * list(X0) * set(product_prod(X0,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4427, type, sK3636: !>[X0: $tType]:((X0 * list(X0) * list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4428, type, sK3637: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(set(X1),set(X0)) * set(X0)) > set(X1))).
% 26.16/4.98 tff(func_def_4429, type, sK3638: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),bool))) > X1)).
% 26.16/4.98 tff(func_def_4430, type, sK3639: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),bool))) > X0)).
% 26.16/4.98 tff(func_def_4431, type, sK3640: !>[X0: $tType]:((fun(nat,X0) * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_4432, type, sK3641: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4433, type, sK3642: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4434, type, sK3643: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * fun(X0,X1) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4435, type, sK3644: (nat * fun(nat,nat)) > nat).
% 26.16/4.98 tff(func_def_4436, type, sK3645: (nat * fun(nat,nat)) > nat).
% 26.16/4.98 tff(func_def_4437, type, sK3646: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(product_prod(X0,X0)))) > X1)).
% 26.16/4.98 tff(func_def_4438, type, sK3647: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(product_prod(X0,X0)))) > X1)).
% 26.16/4.98 tff(func_def_4439, type, sK3648: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4440, type, sK3649: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4441, type, sK3650: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1)) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4442, type, sK3651: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4443, type, sK3652: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_4444, type, sK3653: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_4445, type, sK3654: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4446, type, sK3655: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4447, type, sK3656: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_4448, type, sK3657: vEBT_VEBT > nat).
% 26.16/4.98 tff(func_def_4449, type, sK3658: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4450, type, sK3659: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4451, type, sK3660: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4452, type, sK3661: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4453, type, sK3662: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * fun(X0,fun(X1,bool))) > product_prod(X0,X1))).
% 26.16/4.98 tff(func_def_4454, type, sK3663: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * fun(X1,X0) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_4455, type, sK3664: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0)) > X2)).
% 26.16/4.98 tff(func_def_4456, type, sK3665: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0)) > X1)).
% 26.16/4.98 tff(func_def_4457, type, sK3666: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,fun(X0,bool)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4458, type, sK3667: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,fun(X0,bool)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4459, type, sK3668: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 26.16/4.98 tff(func_def_4460, type, sK3669: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,fun(X0,X0))) > X1)).
% 26.16/4.98 tff(func_def_4461, type, sK3670: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4462, type, sK3671: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4463, type, sK3672: (nat * real * fun(nat,fun(real,real))) > nat).
% 26.16/4.98 tff(func_def_4464, type, sK3673: (nat * real * fun(nat,fun(real,real))) > real).
% 26.16/4.98 tff(func_def_4465, type, sK3674: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),bool)) > X2)).
% 26.16/4.98 tff(func_def_4466, type, sK3675: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),bool)) > X1)).
% 26.16/4.98 tff(func_def_4467, type, sK3676: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(product_prod(X2,product_prod(X1,X0)),bool)) > X0)).
% 26.16/4.98 tff(func_def_4468, type, sK3677: !>[X0: $tType, X1: $tType]:((fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1)) > list(X1))).
% 26.16/4.98 tff(func_def_4469, type, sK3678: !>[X0: $tType, X1: $tType]:((fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1)) > list(X0))).
% 26.16/4.98 tff(func_def_4470, type, sK3679: !>[X0: $tType, X1: $tType]:((fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1)) > nat)).
% 26.16/4.98 tff(func_def_4471, type, sK3680: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4472, type, sK3681: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4473, type, sK3682: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4474, type, sK3683: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(X0,bool)) > X1)).
% 26.16/4.98 tff(func_def_4475, type, sK3684: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X0) * filter(X1)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4476, type, sK3685: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4477, type, sK3686: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * filter(X1)) > set(X0))).
% 26.16/4.98 tff(func_def_4478, type, sK3687: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X1 * X0) > X0)).
% 26.16/4.98 tff(func_def_4479, type, sK3688: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * X1 * X0) > X1)).
% 26.16/4.98 tff(func_def_4480, type, sK3689: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * filter(X0) * filter(X1)) > filter(product_prod(X0,X1)))).
% 26.16/4.98 tff(func_def_4481, type, sK3690: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1)) > nat)).
% 26.16/4.98 tff(func_def_4482, type, sK3691: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * list(X1) * list(X0)) > product_prod(X1,X0))).
% 26.16/4.98 tff(func_def_4483, type, sK3692: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * option(X0) * X1) > X0)).
% 26.16/4.98 tff(func_def_4484, type, sK3693: !>[X0: $tType, X1: $tType]:((X0 * set(product_prod(X1,X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4485, type, sK3694: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * fun(X0,bool)) > X1)).
% 26.16/4.98 tff(func_def_4486, type, sK3695: !>[X0: $tType, X1: $tType]:((fun(X1,bool) * fun(X1,X0) * filter(X0)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4487, type, sK3696: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4488, type, sK3697: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * list(X1) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4489, type, sK3698: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4490, type, sK3699: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4491, type, sK3700: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4492, type, sK3701: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4493, type, sK3702: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4494, type, sK3703: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4495, type, sK3704: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 26.16/4.98 tff(func_def_4496, type, sK3705: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0) > X1)).
% 26.16/4.98 tff(func_def_4497, type, sK3706: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X1) > X1)).
% 26.16/4.98 tff(func_def_4498, type, sK3707: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * set(X1) * X0) > X1)).
% 26.16/4.98 tff(func_def_4499, type, sK3708: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * set(X0) * X1) > X0)).
% 26.16/4.98 tff(func_def_4500, type, sK3709: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4501, type, sK3710: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * set(X0) * X1) > X0)).
% 26.16/4.98 tff(func_def_4502, type, sK3711: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool) * X0) > X1)).
% 26.16/4.98 tff(func_def_4503, type, sK3712: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4504, type, sK3713: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4505, type, sK3714: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4506, type, sK3715: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X0,fun(X1,bool)) * X0) > X1)).
% 26.16/4.98 tff(func_def_4507, type, sK3716: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X0,fun(X1,bool)) * X0) > X1)).
% 26.16/4.98 tff(func_def_4508, type, sK3717: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1)) > nat)).
% 26.16/4.98 tff(func_def_4509, type, sK3718: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool) * fun(X0,bool)) > X1)).
% 26.16/4.98 tff(func_def_4510, type, sK3719: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * filter(X0) * fun(X1,bool)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4511, type, sK3720: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),bool) * fun(X1,bool) * fun(X0,bool)) > X1)).
% 26.16/4.98 tff(func_def_4512, type, sK3721: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),bool) * fun(X1,bool) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4513, type, sK3722: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),bool) * filter(X0) * filter(X1)) > fun(X1,bool))).
% 26.16/4.98 tff(func_def_4514, type, sK3723: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),bool) * filter(X0) * filter(X1)) > fun(X0,bool))).
% 26.16/4.98 tff(func_def_4515, type, sK3724: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * product_prod(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4516, type, sK3725: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0)) > X1)).
% 26.16/4.98 tff(func_def_4517, type, sK3726: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0)) > X1)).
% 26.16/4.98 tff(func_def_4518, type, sK3727: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0)) > X1)).
% 26.16/4.98 tff(func_def_4519, type, sK3728: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0)) > X1)).
% 26.16/4.98 tff(func_def_4520, type, sK3729: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4521, type, sK3730: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * fun(X1,filter(X0)) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4522, type, sK3731: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4523, type, sK3732: !>[X0: $tType, X1: $tType]:((fun(X0,set(X1)) * set(X0) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4524, type, sK3733: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4525, type, sK3734: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4526, type, sK3735: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4527, type, sK3736: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4528, type, sK3737: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > list(X0))).
% 26.16/4.98 tff(func_def_4529, type, sK3738: !>[X0: $tType, X1: $tType]:((product_prod(X0,X1) * list(X0) * list(X1)) > nat)).
% 26.16/4.98 tff(func_def_4530, type, sK3739: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4531, type, sK3740: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4532, type, sK3741: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4533, type, sK3742: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_4534, type, sK3743: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4535, type, sK3744: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4536, type, sK3745: (list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4537, type, sK3746: (nat * nat * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4538, type, sK3747: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * nat * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_4539, type, sK3748: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * nat * X0 * X0) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_4540, type, sK3749: !>[X0: $tType, X1: $tType]:((list(X1) * list(X0) * set(product_prod(X1,X0))) > nat)).
% 26.16/4.98 tff(func_def_4541, type, sK3750: !>[X0: $tType, X1: $tType]:((list(X1) * list(X0) * set(product_prod(X1,X0))) > product_prod(X1,X0))).
% 26.16/4.98 tff(func_def_4542, type, sK3751: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X1)).
% 26.16/4.98 tff(func_def_4543, type, sK3752: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > X0)).
% 26.16/4.98 tff(func_def_4544, type, sK3753: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X1))).
% 26.16/4.98 tff(func_def_4545, type, sK3754: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > list(X0))).
% 26.16/4.98 tff(func_def_4546, type, sK3755: !>[X0: $tType]:((list(X0) * set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4547, type, sK3756: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * fun(nat,X0)) > nat)).
% 26.16/4.98 tff(func_def_4548, type, sK3757: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > fun(nat,X0))).
% 26.16/4.98 tff(func_def_4549, type, sK3758: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4550, type, sK3759: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4551, type, sK3760: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4552, type, sK3761: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4553, type, sK3762: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4554, type, sK3763: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4555, type, sK3764: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4556, type, sK3765: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4557, type, sK3766: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4558, type, sK3767: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4559, type, sK3768: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4560, type, sK3769: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4561, type, sK3770: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4562, type, sK3771: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4563, type, sK3772: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4564, type, sK3773: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4565, type, sK3774: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4566, type, sK3775: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X0))).
% 26.16/4.98 tff(func_def_4567, type, sK3776: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * fun(set(X0),bool)) > set(X1))).
% 26.16/4.98 tff(func_def_4568, type, sK3777: !>[X0: $tType, X1: $tType]:((fun(X0,option(X1)) * X0 * X1) > X0)).
% 26.16/4.98 tff(func_def_4569, type, sK3778: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X0)).
% 26.16/4.98 tff(func_def_4570, type, sK3779: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X1)).
% 26.16/4.98 tff(func_def_4571, type, sK3780: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X2)).
% 26.16/4.98 tff(func_def_4572, type, sK3781: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,X3)))) > X3)).
% 26.16/4.98 tff(func_def_4573, type, sK3782: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * fun(X0,bool) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_4574, type, sK3783: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4575, type, sK3784: !>[X0: $tType]:((set(product_prod(X0,X0))) > X0)).
% 26.16/4.98 tff(func_def_4576, type, sK3785: !>[X0: $tType, X1: $tType]:((option(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4577, type, sK3786: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4578, type, sK3787: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4579, type, sK3788: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4580, type, sK3789: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4581, type, sK3790: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X1,list(X0)) * fun(X1,list(X0))) > X1)).
% 26.16/4.98 tff(func_def_4582, type, sK3791: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X1)) * set(X0)) > set(product_prod(X0,X0)))).
% 26.16/4.98 tff(func_def_4583, type, sK3792: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4584, type, sK3793: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * X0) > X0)).
% 26.16/4.98 tff(func_def_4585, type, sK3794: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0 * set(X0)) > X1)).
% 26.16/4.98 tff(func_def_4586, type, sK3795: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * X0 * set(X0)) > set(X1))).
% 26.16/4.98 tff(func_def_4587, type, sK3796: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > fun(X0,X1))).
% 26.16/4.98 tff(func_def_4588, type, sK3797: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X1,X0) * fun(X2,set(X1))) > X2)).
% 26.16/4.98 tff(func_def_4589, type, sK3798: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4590, type, sK3799: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4591, type, sK3800: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4592, type, sK3801: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X1) * set(X0) * fun(X0,set(X2))) > X0)).
% 26.16/4.98 tff(func_def_4593, type, sK3802: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(X2) * fun(X2,set(X1))) > X2)).
% 26.16/4.98 tff(func_def_4594, type, sK3803: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1))) > X2)).
% 26.16/4.98 tff(func_def_4595, type, sK3804: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 26.16/4.98 tff(func_def_4596, type, sK3805: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 26.16/4.98 tff(func_def_4597, type, sK3806: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 26.16/4.98 tff(func_def_4598, type, sK3807: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 26.16/4.98 tff(func_def_4599, type, sK3808: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 26.16/4.98 tff(func_def_4600, type, sK3809: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 26.16/4.98 tff(func_def_4601, type, sK3810: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X1,X1)) * set(X0) * fun(X0,set(X2))) > X0)).
% 26.16/4.98 tff(func_def_4602, type, sK3811: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1))) > X2)).
% 26.16/4.98 tff(func_def_4603, type, sK3812: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2)) > X0)).
% 26.16/4.98 tff(func_def_4604, type, sK3813: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2)) > X2)).
% 26.16/4.98 tff(func_def_4605, type, sK3814: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4606, type, sK3815: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4607, type, sK3816: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,set(X0)) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4608, type, sK3817: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4609, type, sK3818: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1) * fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_4610, type, sK3819: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,bool) * fun(X0,fun(X2,X1)) * product_prod(X0,X2)) > X0)).
% 26.16/4.98 tff(func_def_4611, type, sK3820: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,bool) * fun(X0,fun(X2,X1)) * product_prod(X0,X2)) > X2)).
% 26.16/4.98 tff(func_def_4612, type, sK3821: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X0)).
% 26.16/4.98 tff(func_def_4613, type, sK3822: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 26.16/4.98 tff(func_def_4614, type, sK3823: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X1)).
% 26.16/4.98 tff(func_def_4615, type, sK3824: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,fun(X2,bool))) * product_prod(X1,X0) * X2) > X1)).
% 26.16/4.98 tff(func_def_4616, type, sK3825: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,fun(X2,bool))) * product_prod(X1,X0) * X2) > X0)).
% 26.16/4.98 tff(func_def_4617, type, sK3826: (vEBT_VEBT * nat) > nat).
% 26.16/4.98 tff(func_def_4618, type, sK3827: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > X0)).
% 26.16/4.98 tff(func_def_4619, type, sK3828: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > list(X0))).
% 26.16/4.98 tff(func_def_4620, type, sK3829: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > X1)).
% 26.16/4.98 tff(func_def_4621, type, sK3830: !>[X0: $tType, X1: $tType]:((list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1))) > list(X1))).
% 26.16/4.98 tff(func_def_4622, type, sK3831: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2)) > X0)).
% 26.16/4.98 tff(func_def_4623, type, sK3832: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2)) > X2)).
% 26.16/4.98 tff(func_def_4624, type, sK3833: !>[X0: $tType, X1: $tType]:((fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4625, type, sK3834: !>[X0: $tType, X1: $tType]:((fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_4626, type, sK3835: !>[X0: $tType, X1: $tType]:((list(X1) * X0 * list(X0) * set(product_prod(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4627, type, sK3836: !>[X0: $tType, X1: $tType]:((list(X1) * X0 * list(X0) * set(product_prod(X1,X0))) > list(X1))).
% 26.16/4.98 tff(func_def_4628, type, sK3837: !>[X0: $tType, X1: $tType]:((X1 * list(X1) * list(X0) * set(product_prod(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4629, type, sK3838: !>[X0: $tType, X1: $tType]:((X1 * list(X1) * list(X0) * set(product_prod(X1,X0))) > list(X0))).
% 26.16/4.98 tff(func_def_4630, type, sK3839: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,set(X2))) > X0)).
% 26.16/4.98 tff(func_def_4631, type, sK3840: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > fun(nat,fun(X0,X0)))).
% 26.16/4.98 tff(func_def_4632, type, sK3841: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > nat)).
% 26.16/4.98 tff(func_def_4633, type, sK3842: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > nat)).
% 26.16/4.98 tff(func_def_4634, type, sK3843: !>[X0: $tType]:((fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,bool))))) > X0)).
% 26.16/4.98 tff(func_def_4635, type, sK3844: !>[X0: $tType]:((nat * set(product_prod(X0,X0)) * X0 * X0) > X0)).
% 26.16/4.98 tff(func_def_4636, type, sK3845: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4637, type, sK3846: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4638, type, sK3847: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X1,X0) * fun(X0,X1)) > X0)).
% 26.16/4.98 tff(func_def_4639, type, sK3848: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,set(X1)) * set(X0)) > X2)).
% 26.16/4.98 tff(func_def_4640, type, sK3849: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,set(X1)) * fun(X2,set(X0))) > X2)).
% 26.16/4.98 tff(func_def_4641, type, sK3850: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4642, type, sK3851: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4643, type, sK3852: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,set(X1)) * fun(X1,X0)) > X2)).
% 26.16/4.98 tff(func_def_4644, type, sK3853: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,bool))) * X2) > X0)).
% 26.16/4.98 tff(func_def_4645, type, sK3854: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,bool))) * X2) > X1)).
% 26.16/4.98 tff(func_def_4646, type, sK3855: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0)))) > X2)).
% 26.16/4.98 tff(func_def_4647, type, sK3856: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0)))) > X1)).
% 26.16/4.98 tff(func_def_4648, type, sK3857: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4649, type, sK3858: !>[X0: $tType, X1: $tType]:((list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0)) > X1)).
% 26.16/4.98 tff(func_def_4650, type, sK3859: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool)) > X3)).
% 26.16/4.98 tff(func_def_4651, type, sK3860: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool)) > X2)).
% 26.16/4.98 tff(func_def_4652, type, sK3861: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool)) > X1)).
% 26.16/4.98 tff(func_def_4653, type, sK3862: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool)) > X0)).
% 26.16/4.98 tff(func_def_4654, type, sK3863: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_4655, type, sK3864: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_4656, type, sK3865: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4657, type, sK3866: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4658, type, sK3867: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4659, type, sK3868: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > set(X1))).
% 26.16/4.98 tff(func_def_4660, type, sK3869: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4661, type, sK3870: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,option(X2)) * fun(X0,option(X1)) * X0) > X1)).
% 26.16/4.98 tff(func_def_4662, type, sK3871: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1) * list(X1)) > list(X0))).
% 26.16/4.98 tff(func_def_4663, type, sK3872: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X1) * list(X1)) > list(X0))).
% 26.16/4.98 tff(func_def_4664, type, sK3873: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X0) * list(X1)) > list(X1))).
% 26.16/4.98 tff(func_def_4665, type, sK3874: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * list(X0) * list(X0) * list(X1)) > list(X1))).
% 26.16/4.98 tff(func_def_4666, type, sK3875: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_4667, type, sK3876: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0)) > X0)).
% 26.16/4.98 tff(func_def_4668, type, sK3877: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > X0)).
% 26.16/4.98 tff(func_def_4669, type, sK3878: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X0)).
% 26.16/4.98 tff(func_def_4670, type, sK3879: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X1)).
% 26.16/4.98 tff(func_def_4671, type, sK3880: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X2)).
% 26.16/4.98 tff(func_def_4672, type, sK3881: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X3)).
% 26.16/4.98 tff(func_def_4673, type, sK3882: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4))))) > X4)).
% 26.16/4.98 tff(func_def_4674, type, sK3883: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X1,X0) * set(X1)) > list(X1))).
% 26.16/4.98 tff(func_def_4675, type, sK3884: (fun(nat,fun(real,real)) * real * real * nat) > nat).
% 26.16/4.98 tff(func_def_4676, type, sK3885: (fun(nat,fun(real,real)) * real * real * nat) > real).
% 26.16/4.98 tff(func_def_4677, type, sK3886: (nat * fun(nat,fun(real,real)) * fun(real,real) * real * real) > real).
% 26.16/4.98 tff(func_def_4678, type, sK3887: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),bool)))) > X1)).
% 26.16/4.98 tff(func_def_4679, type, sK3888: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),bool)))) > list(X1))).
% 26.16/4.98 tff(func_def_4680, type, sK3889: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),bool)))) > X0)).
% 26.16/4.98 tff(func_def_4681, type, sK3890: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),bool)))) > list(X0))).
% 26.16/4.98 tff(func_def_4682, type, sK3891: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),bool)))) > X2)).
% 26.16/4.98 tff(func_def_4683, type, sK3892: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(list(X1),fun(list(X0),fun(list(X2),bool)))) > list(X2))).
% 26.16/4.98 tff(func_def_4684, type, sK3893: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool))) > X1)).
% 26.16/4.98 tff(func_def_4685, type, sK3894: !>[X0: $tType, X1: $tType]:((set(X1) * set(X0) * fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool))) > X0)).
% 26.16/4.98 tff(func_def_4686, type, sK3895: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 26.16/4.98 tff(func_def_4687, type, sK3896: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 26.16/4.98 tff(func_def_4688, type, sK3897: !>[X0: $tType, X1: $tType]:((X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0)))) > X1)).
% 26.16/4.98 tff(func_def_4689, type, sK3898: !>[X0: $tType, X1: $tType]:((X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0)))) > X0)).
% 26.16/4.98 tff(func_def_4690, type, sK3899: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4691, type, sK3900: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_4692, type, sK3901: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4693, type, sK3902: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4694, type, sK3903: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_4695, type, sK3904: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 26.16/4.98 tff(func_def_4696, type, sK3905: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4697, type, sK3906: list(vEBT_VEBT) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4698, type, sK3907: list(vEBT_VEBT) > nat).
% 26.16/4.98 tff(func_def_4699, type, sK3908: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4700, type, sK3909: (vEBT_VEBT * list(vEBT_VEBT) * nat) > nat).
% 26.16/4.98 tff(func_def_4701, type, sK3910: (list(vEBT_VEBT) * nat * nat * nat * nat) > nat).
% 26.16/4.98 tff(func_def_4702, type, sK3911: (nat * nat * nat * nat * list(vEBT_VEBT)) > nat).
% 26.16/4.98 tff(func_def_4703, type, sK3912: (list(vEBT_VEBT) * nat) > vEBT_VEBT).
% 26.16/4.98 tff(func_def_4704, type, sK3913: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool)) > X1)).
% 26.16/4.98 tff(func_def_4705, type, sK3914: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool)) > X0)).
% 26.16/4.98 tff(func_def_4706, type, sK3915: !>[X0: $tType]:((list(X0) * fun(X0,bool)) > X0)).
% 26.16/4.98 tff(func_def_4707, type, sK3916: !>[X0: $tType, X1: $tType, X2: $tType]:((list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4708, type, sK3917: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4709, type, sK3918: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4710, type, sK3919: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1))) > X2)).
% 26.16/4.98 tff(func_def_4711, type, sK3920: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0))) > X2)).
% 26.16/4.98 tff(func_def_4712, type, sK3921: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4713, type, sK3922: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool)) > X4)).
% 26.16/4.98 tff(func_def_4714, type, sK3923: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool)) > X3)).
% 26.16/4.98 tff(func_def_4715, type, sK3924: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool)) > X2)).
% 26.16/4.98 tff(func_def_4716, type, sK3925: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool)) > X1)).
% 26.16/4.98 tff(func_def_4717, type, sK3926: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool)) > X0)).
% 26.16/4.98 tff(func_def_4718, type, sK3927: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,option(X2)) * fun(X0,option(X1)) * X0 * X2) > X1)).
% 26.16/4.98 tff(func_def_4719, type, sK3928: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X2,X1) * fun(X0,filter(X1)) * set(X0) * filter(X2)) > X0)).
% 26.16/4.98 tff(func_def_4720, type, sK3929: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1) > X2)).
% 26.16/4.98 tff(func_def_4721, type, sK3930: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X0)).
% 26.16/4.98 tff(func_def_4722, type, sK3931: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X2)).
% 26.16/4.98 tff(func_def_4723, type, sK3932: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1))) > X1)).
% 26.16/4.98 tff(func_def_4724, type, sK3933: !>[X0: $tType, X1: $tType, X2: $tType]:((set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0)) > X2)).
% 26.16/4.98 tff(func_def_4725, type, sK3934: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X0)).
% 26.16/4.98 tff(func_def_4726, type, sK3935: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X1)).
% 26.16/4.98 tff(func_def_4727, type, sK3936: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X2)).
% 26.16/4.98 tff(func_def_4728, type, sK3937: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X3)).
% 26.16/4.98 tff(func_def_4729, type, sK3938: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X4)).
% 26.16/4.98 tff(func_def_4730, type, sK3939: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5)))))) > X5)).
% 26.16/4.98 tff(func_def_4731, type, sK3940: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4732, type, sK3941: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0))) > X0)).
% 26.16/4.98 tff(func_def_4733, type, sK3942: !>[X0: $tType, X1: $tType]:((list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0))) > X1)).
% 26.16/4.98 tff(func_def_4734, type, sK3943: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X1)).
% 26.16/4.98 tff(func_def_4735, type, sK3944: !>[X0: $tType, X1: $tType]:((list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4736, type, sK3945: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) * list(X0) * list(X1)) > X1)).
% 26.16/4.98 tff(func_def_4737, type, sK3946: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) * list(X0) * list(X1)) > X0)).
% 26.16/4.98 tff(func_def_4738, type, sK3947: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * set(X0) * X1 * X1 * X0) > X1)).
% 26.16/4.98 tff(func_def_4739, type, sK3948: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X0 * set(X0) * X1 * X1) > X1)).
% 26.16/4.98 tff(func_def_4740, type, sK3949: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1) * fun(X1,set(X0))) > X1)).
% 26.16/4.98 tff(func_def_4741, type, sK3950: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2))) > X3)).
% 26.16/4.98 tff(func_def_4742, type, sK3951: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2))) > X2)).
% 26.16/4.98 tff(func_def_4743, type, sK3952: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X1)).
% 26.16/4.98 tff(func_def_4744, type, sK3953: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X0)).
% 26.16/4.98 tff(func_def_4745, type, sK3954: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X1)).
% 26.16/4.98 tff(func_def_4746, type, sK3955: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > X0)).
% 26.16/4.98 tff(func_def_4747, type, sK3956: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4748, type, sK3957: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_4749, type, sK3958: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4750, type, sK3959: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_4751, type, sK3960: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4752, type, sK3961: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_4753, type, sK3962: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4754, type, sK3963: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_4755, type, sK3964: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X0)).
% 26.16/4.98 tff(func_def_4756, type, sK3965: !>[X0: $tType, X1: $tType]:((X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,bool))) > X1)).
% 26.16/4.98 tff(func_def_4757, type, sK3966: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,set(X2)) * set(product_prod(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4758, type, sK3967: !>[X0: $tType, X1: $tType, X2: $tType]:((list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1))) > X0)).
% 26.16/4.98 tff(func_def_4759, type, sK3968: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool)) > X5)).
% 26.16/4.98 tff(func_def_4760, type, sK3969: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool)) > X4)).
% 26.16/4.98 tff(func_def_4761, type, sK3970: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool)) > X3)).
% 26.16/4.98 tff(func_def_4762, type, sK3971: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool)) > X2)).
% 26.16/4.98 tff(func_def_4763, type, sK3972: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool)) > X1)).
% 26.16/4.98 tff(func_def_4764, type, sK3973: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool)) > X0)).
% 26.16/4.98 tff(func_def_4765, type, sK3974: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X0)).
% 26.16/4.98 tff(func_def_4766, type, sK3975: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X1)).
% 26.16/4.98 tff(func_def_4767, type, sK3976: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X2)).
% 26.16/4.98 tff(func_def_4768, type, sK3977: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X3)).
% 26.16/4.98 tff(func_def_4769, type, sK3978: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X4)).
% 26.16/4.98 tff(func_def_4770, type, sK3979: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X5)).
% 26.16/4.98 tff(func_def_4771, type, sK3980: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6))))))) > X6)).
% 26.16/4.98 tff(func_def_4772, type, sK3981: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4773, type, sK3982: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4774, type, sK3983: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1) * X3) > X2)).
% 26.16/4.98 tff(func_def_4775, type, sK3984: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * X1) > X3)).
% 26.16/4.98 tff(func_def_4776, type, sK3985: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 26.16/4.98 tff(func_def_4777, type, sK3986: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,set(X1))) > X0)).
% 26.16/4.98 tff(func_def_4778, type, sK3987: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > X3)).
% 26.16/4.98 tff(func_def_4779, type, sK3988: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > list(X3))).
% 26.16/4.98 tff(func_def_4780, type, sK3989: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > X2)).
% 26.16/4.98 tff(func_def_4781, type, sK3990: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > list(X2))).
% 26.16/4.98 tff(func_def_4782, type, sK3991: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > X1)).
% 26.16/4.98 tff(func_def_4783, type, sK3992: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > list(X1))).
% 26.16/4.98 tff(func_def_4784, type, sK3993: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > X0)).
% 26.16/4.98 tff(func_def_4785, type, sK3994: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > list(X0))).
% 26.16/4.98 tff(func_def_4786, type, sK3995: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set(X0) * set(X3) * fun(X2,X1) * fun(X3,filter(X2)) * fun(X0,filter(X1))) > X0)).
% 26.16/4.98 tff(func_def_4787, type, sK3996: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool)) > X6)).
% 26.16/4.98 tff(func_def_4788, type, sK3997: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool)) > X5)).
% 26.16/4.98 tff(func_def_4789, type, sK3998: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool)) > X4)).
% 26.16/4.98 tff(func_def_4790, type, sK3999: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool)) > X3)).
% 26.16/4.98 tff(func_def_4791, type, sK4000: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool)) > X2)).
% 26.16/4.98 tff(func_def_4792, type, sK4001: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool)) > X1)).
% 26.16/4.98 tff(func_def_4793, type, sK4002: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool)) > X0)).
% 26.16/4.98 tff(func_def_4794, type, sK4003: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,set(X0)) * set(product_prod(X2,X2))) > X1)).
% 26.16/4.98 tff(func_def_4795, type, sK4004: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X1,X1)) * fun(X0,set(X2))) > X0)).
% 26.16/4.98 tff(func_def_4796, type, sK4005: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X1,X3) * fun(X3,set(X2)) * set(X1)) > X1)).
% 26.16/4.98 tff(func_def_4797, type, sK4006: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X1,X3) * fun(X3,set(X2)) * set(X1)) > X2)).
% 26.16/4.98 tff(func_def_4798, type, sK4007: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1) * set(X1)) > X0)).
% 26.16/4.98 tff(func_def_4799, type, sK4008: real).
% 26.16/4.98 tff(pred_def_1, type, type: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_2, type, size: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_3, type, dvd: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_4, type, one: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_5, type, idom: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_6, type, ring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_7, type, plus: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_8, type, zero: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_9, type, numeral: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_10, type, power: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_11, type, field: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_12, type, ring_gcd: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_13, type, ring_1: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_14, type, uminus: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_15, type, bot: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_16, type, ord: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_17, type, top: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_18, type, inverse: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_19, type, semiring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_20, type, ring_char_0: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_21, type, neg_numeral: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_22, type, order: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_23, type, comm_ring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_24, type, semiring_Gcd: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_25, type, semiring_gcd: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_26, type, group_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_27, type, lattice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_28, type, no_bot: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_29, type, no_top: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_30, type, semiring_0: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_31, type, semiring_1: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_32, type, finite_finite: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_33, type, monoid_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_34, type, comm_ring_1: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_35, type, ln: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_36, type, monoid_mult: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_37, type, linorder: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_38, type, preorder: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_39, type, ring_parity: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_40, type, ordered_ring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_41, type, finite_lattice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_42, type, field_char_0: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_43, type, ab_group_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_44, type, semiring_char_0: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_45, type, order_bot: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_46, type, order_top: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_47, type, wellorder: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_48, type, comm_semiring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_49, type, zero_less_one: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_50, type, division_ring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_51, type, semigroup_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_52, type, semiring_numeral: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_53, type, semidom_divide: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_54, type, semidom_modulo: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_55, type, semigroup_mult: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_56, type, dense_order: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_57, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_58, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_59, type, linordered_idom: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_60, type, linordered_ring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_61, type, semiring_modulo: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_62, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_63, type, semiring_parity: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_64, type, ordered_ring_abs: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_65, type, ordered_semiring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_66, type, linordered_field: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_67, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_68, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_69, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_70, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_71, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_72, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_73, type, bounded_lattice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_74, type, distrib_lattice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_75, type, semilattice_inf: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_76, type, semilattice_sup: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_77, type, dense_linorder: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_78, type, linordered_semidom: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_79, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_80, type, real_Vector_banach: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_81, type, linordered_semiring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_82, type, comple9053668089753744459l_ccpo: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_83, type, finite8700451911770168679attice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_84, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_85, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_86, type, linord6961819062388156250ring_1: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_87, type, ordere2520102378445227354miring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_88, type, topological_t1_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_89, type, topological_t2_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_90, type, topological_t3_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_91, type, topological_t4_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_92, type, bit_semiring_bits: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_93, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_94, type, topolo1633459387980952147up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_95, type, comm_s4317794764714335236cancel: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_96, type, linord4710134922213307826strict: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_97, type, cancel1802427076303600483id_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_98, type, topolo6943815403480290642id_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_99, type, real_V7773925162809079976_field: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_100, type, ring_15535105094025558882visors: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_101, type, cancel2418104881723323429up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_102, type, linord5086331880401160121up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_103, type, ordere6911136660526730532id_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_104, type, topolo1898628316856586783d_mult: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_105, type, real_V4867850818363320053vector: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_106, type, archim2362893244070406136eiling: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_107, type, semiri6843258321239162965malize: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_108, type, ordere166539214618696060dd_abs: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_109, type, ordere6658533253407199908up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_110, type, topolo1287966508704411220up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_111, type, real_V7819770556892013058_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_112, type, semiri3467727345109120633visors: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_113, type, boolea8198339166811842893lgebra: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_114, type, linord8928482502909563296strict: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_115, type, topolo8386298272705272623_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_116, type, topolo7287701948861334536_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_117, type, real_V8037385150606011577_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_118, type, real_V2191834092415804123ebra_1: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_119, type, linord181362715937106298miring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_120, type, semiri2026040879449505780visors: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_121, type, topolo2564578578187576103pology: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_122, type, bit_ri3973907225187159222ations: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_123, type, comple6319245703460814977attice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_124, type, linord4140545234300271783up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_125, type, topolo5987344860129210374id_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_126, type, unboun7993243217541854897norder: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_127, type, real_V768167426530841204y_dist: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_128, type, linord715952674999750819strict: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_129, type, archim462609752435547400_field: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_130, type, comple5582772986160207858norder: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_131, type, real_V5047593784448816457lgebra: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_132, type, bounde4346867609351753570nf_top: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_133, type, bounde4967611905675639751up_bot: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_134, type, real_V3459762299906320749_field: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_135, type, topolo8865339358273720382pology: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_136, type, topolo1944317154257567458pology: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_137, type, topolo4958980785337419405_space: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_138, type, canoni5634975068530333245id_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_139, type, ordere8940638589300402666id_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_140, type, strict7427464778891057005id_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_141, type, real_V822414075346904944vector: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_142, type, linord2810124833399127020strict: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_143, type, bit_se359711467146920520ations: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_144, type, ordere2412721322843649153imp_le: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_145, type, ordere580206878836729694up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_146, type, ordere1170586879665033532d_diff: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_147, type, strict9044650504122735259up_add: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_148, type, real_V5355595471888546746vector: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_149, type, real_V4412858255891104859lgebra: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_150, type, euclid8851590272496341667cancel: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_151, type, real_V2822296259951069270ebra_1: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_152, type, unique1627219031080169319umeral: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_153, type, comple592849572758109894attice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_154, type, real_V8999393235501362500lgebra: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_155, type, topolo3112930676232923870pology: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_156, type, euclid4440199948858584721cancel: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_157, type, euclid3128863361964157862miring: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_158, type, topolo8458572112393995274pology: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_159, type, ordere1937475149494474687imp_le: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_160, type, euclid8789492081693882211th_nat: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_161, type, euclid5411537665997757685th_nat: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_162, type, counta3822494911875563373attice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_163, type, semiri1453513574482234551roduct: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_164, type, bit_un5681908812861735899ations: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_165, type, condit1219197933456340205attice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_166, type, counta4013691401010221786attice: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_167, type, condit6923001295902523014norder: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_168, type, bNF_Cardinal_cfinite: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_169, type, bNF_Ca4139267488887388095finite: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_170, type, bNF_Ca8970107618336181345der_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_171, type, bNF_Ca7293521722713021262ofinal: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_172, type, bNF_Ca6246979054910435723ardSuc: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(product_prod(set(X0),set(X0)))) > $o)).
% 26.16/4.98 tff(pred_def_173, type, bNF_Ca7133664381575040944arCard: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_174, type, bNF_Ca3754400796208372196lChain: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_175, type, bNF_Gr1419584066657907630d_pred: !>[X0: $tType, X1: $tType]:((set(X0) * set(product_prod(X1,X1)) * fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_176, type, bNF_Wellorder_embed: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_177, type, bNF_Wellorder_wo_rel: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_178, type, bNF_We4791949203932849705sMinim: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_179, type, boolea2506097494486148201lgebra: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_180, type, comple1908693960933563346ssible: !>[X0: $tType]:((fun(set(X0),X0) * fun(X0,fun(X0,bool)) * fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_181, type, comple1602240252501008431_chain: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_182, type, condit941137186595557371_above: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_183, type, condit1013018076250108175_below: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_184, type, countable_countable: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_185, type, has_derivative: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,X1) * filter(X0)) > $o)).
% 26.16/4.98 tff(pred_def_186, type, has_field_derivative: !>[X0: $tType]:((fun(X0,X0) * X0 * filter(X0)) > $o)).
% 26.16/4.98 tff(pred_def_187, type, has_ve8173657378732805170vative: !>[X0: $tType]:((fun(real,X0) * X0 * filter(real)) > $o)).
% 26.16/4.98 tff(pred_def_188, type, eucl_rel_int: (int * int * product_prod(int,int)) > $o).
% 26.16/4.98 tff(pred_def_189, type, unique5940410009612947441es_aux: !>[X0: $tType]:((product_prod(X0,X0)) > $o)).
% 26.16/4.98 tff(pred_def_190, type, equiv_congruent: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X0)) * fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_191, type, equiv_congruent2: !>[X0: $tType, X1: $tType, X2: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,fun(X1,X2))) > $o)).
% 26.16/4.98 tff(pred_def_192, type, equiv_equiv: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_193, type, filterlim: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X1) * filter(X0)) > $o)).
% 26.16/4.98 tff(pred_def_194, type, finite6289374366891150609ommute: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1))) > $o)).
% 26.16/4.98 tff(pred_def_195, type, finite4664212375090638736ute_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 26.16/4.98 tff(pred_def_196, type, finite673082921795544331dem_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 26.16/4.98 tff(pred_def_197, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,X1)) * X1 * set(X0) * X1) > $o)).
% 26.16/4.98 tff(pred_def_198, type, finite1890593828518410140dem_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 26.16/4.98 tff(pred_def_199, type, finite_folding_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,fun(X1,X1))) > $o)).
% 26.16/4.98 tff(pred_def_200, type, bij_betw: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_201, type, inj_on: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_202, type, fun_reduction_pair: !>[X0: $tType]:((product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))) > $o)).
% 26.16/4.98 tff(pred_def_203, type, nO_MATCH: !>[X0: $tType, X1: $tType]:((X0 * X1) > $o)).
% 26.16/4.98 tff(pred_def_204, type, semila1105856199041335345_order: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_205, type, lattic501386751177426532rg_min: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X0,bool) * X0) > $o)).
% 26.16/4.98 tff(pred_def_206, type, lattic4895041142388067077er_set: !>[X0: $tType]:((fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_207, type, lattic149705377957585745ce_set: !>[X0: $tType]:((fun(X0,fun(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_208, type, bfun: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * filter(X0)) > $o)).
% 26.16/4.98 tff(pred_def_209, type, distinct: !>[X0: $tType]:((list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_210, type, folding_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0)) > $o)).
% 26.16/4.98 tff(pred_def_211, type, lexordp: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_212, type, listrel1p: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_213, type, null: !>[X0: $tType]:((list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_214, type, ord_lexordp: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_215, type, sorted_wrt: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_216, type, ring_1_iszero: !>[X0: $tType]:((X0) > $o)).
% 26.16/4.98 tff(pred_def_217, type, order_inf_continuous: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_218, type, order_sup_continuous: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_219, type, order_679001287576687338der_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_220, type, order_ofilter: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_221, type, order_7125193373082350890der_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_222, type, order_preorder_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_223, type, order_well_order_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_224, type, order_antimono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_225, type, order_strict_mono: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_226, type, ordering_top: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * X0) > $o)).
% 26.16/4.98 tff(pred_def_227, type, cauchy: fun(nat,rat) > $o).
% 26.16/4.98 tff(pred_def_228, type, vanishes: fun(nat,rat) > $o).
% 26.16/4.98 tff(pred_def_229, type, real_V2442710119149674383linear: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X0,fun(X1,X2))) > $o)).
% 26.16/4.98 tff(pred_def_230, type, real_V3181309239436604168linear: !>[X0: $tType, X1: $tType]:((fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_231, type, real_V358717886546972837endent: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_232, type, antisym: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_233, type, antisymp: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_234, type, irrefl: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_235, type, irreflp: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_236, type, refl_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_237, type, single_valued: !>[X0: $tType, X1: $tType]:((set(product_prod(X0,X1))) > $o)).
% 26.16/4.98 tff(pred_def_238, type, single_valuedp: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > $o)).
% 26.16/4.98 tff(pred_def_239, type, total_on: !>[X0: $tType]:((set(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_240, type, trans: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_241, type, transp: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_242, type, algebr8660921524188924756oprime: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_243, type, summable: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_244, type, sums: !>[X0: $tType]:((fun(nat,X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_245, type, is_empty: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_246, type, is_singleton: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_247, type, pairwise: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_248, type, topolo3448309680560233919inuous: !>[X0: $tType, X1: $tType]:((filter(X0) * fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_249, type, topological_monoseq: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_250, type, topolo1002775350975398744n_open: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_251, type, topolo7761053866217962861closed: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_252, type, topolo2193935891317330818ompact: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_253, type, topolo1966860045006549960nected: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_254, type, topolo6863149650580417670ergent: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_255, type, topolo3814608138187158403Cauchy: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_256, type, topolo6688025880775521714ounded: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_257, type, topolo6026614971017936543ous_on: !>[X0: $tType, X1: $tType]:((set(X0) * fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_258, type, bi_total: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > $o)).
% 26.16/4.98 tff(pred_def_259, type, bi_unique: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool))) > $o)).
% 26.16/4.98 tff(pred_def_260, type, transitive_acyclic: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_261, type, type_definition: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * fun(X1,X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_262, type, vEBT_V5917875025757280293ildren: (nat * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_263, type, vEBT_VEBT_membermima: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_264, type, vEBT_V5719532721284313246member: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_265, type, vEBT_VEBT_valid: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_266, type, vEBT_invar_vebt: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_267, type, vEBT_VEBT_lesseq: (option(nat) * option(nat)) > $o).
% 26.16/4.98 tff(pred_def_268, type, vEBT_VEBT_max_in_set: (set(nat) * nat) > $o).
% 26.16/4.98 tff(pred_def_269, type, vEBT_VEBT_min_in_set: (set(nat) * nat) > $o).
% 26.16/4.98 tff(pred_def_270, type, vEBT_is_pred_in_set: (set(nat) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_271, type, vEBT_is_succ_in_set: (set(nat) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_272, type, accp: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * X0) > $o)).
% 26.16/4.98 tff(pred_def_273, type, wf: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_274, type, pp: bool > $o).
% 26.16/4.98 tff(pred_def_275, type, sP0: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_276, type, sP1: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_277, type, sP2: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_278, type, sP3: !>[X0: $tType]:((real * X0) > $o)).
% 26.16/4.98 tff(pred_def_279, type, sP4: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_280, type, sP5: !>[X0: $tType]:((real * X0) > $o)).
% 26.16/4.98 tff(pred_def_281, type, sP6: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_282, type, sP7: !>[X0: $tType]:((X0 * X0 * real) > $o)).
% 26.16/4.98 tff(pred_def_283, type, sP8: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_284, type, sP9: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_285, type, sP10: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_286, type, sP11: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_287, type, sP12: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_288, type, sP13: !>[X0: $tType]:((X0 * fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_289, type, sP14: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_290, type, sP15: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_291, type, sP16: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_292, type, sP17: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_293, type, sP18: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_294, type, sP19: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_295, type, sP20: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_296, type, sP21: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_297, type, sP22: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_298, type, sP23: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_299, type, sP24: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_300, type, sP25: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_301, type, sP26: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_302, type, sP27: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_303, type, sP28: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_304, type, sP29: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_305, type, sP30: !>[X0: $tType]:((set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_306, type, sP31: !>[X0: $tType]:((set(X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_307, type, sP32: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_308, type, sP33: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_309, type, sP34: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_310, type, sP35: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_311, type, sP36: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_312, type, sP37: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_313, type, sP38: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_314, type, sP39: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_315, type, sP40: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_316, type, sP41: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_317, type, sP42: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_318, type, sP43: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_319, type, sP44: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_320, type, sP45: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_321, type, sP46: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_322, type, sP47: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_323, type, sP48: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_324, type, sP49: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_325, type, sP50: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_326, type, sP51: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_327, type, sP52: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_328, type, sP53: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_329, type, sP54: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_330, type, sP55: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_331, type, sP56: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_332, type, sP57: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_333, type, sP58: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_334, type, sP59: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_335, type, sP60: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_336, type, sP61: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_337, type, sP62: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_338, type, sP63: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_339, type, sP64: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_340, type, sP65: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_341, type, sP66: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_342, type, sP67: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_343, type, sP68: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_344, type, sP69: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_345, type, sP70: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_346, type, sP71: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_347, type, sP72: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_348, type, sP73: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_349, type, sP74: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_350, type, sP75: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_351, type, sP76: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_352, type, sP77: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_353, type, sP78: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_354, type, sP79: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_355, type, sP80: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_356, type, sP81: !>[X0: $tType]:((X0 * X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_357, type, sP82: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_358, type, sP83: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_359, type, sP84: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_360, type, sP85: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_361, type, sP86: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_362, type, sP87: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_363, type, sP88: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_364, type, sP89: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 26.16/4.98 tff(pred_def_365, type, sP90: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_366, type, sP91: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 26.16/4.98 tff(pred_def_367, type, sP92: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_368, type, sP93: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_369, type, sP94: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_370, type, sP95: !>[X0: $tType]:((num * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_371, type, sP96: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_372, type, sP97: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 26.16/4.98 tff(pred_def_373, type, sP98: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_374, type, sP99: !>[X0: $tType]:((X0 * num * X0) > $o)).
% 26.16/4.98 tff(pred_def_375, type, sP100: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_376, type, sP101: !>[X0: $tType]:((fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_377, type, sP102: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_378, type, sP103: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_379, type, sP104: !>[X0: $tType]:((nat * X0) > $o)).
% 26.16/4.98 tff(pred_def_380, type, sP105: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_381, type, sP106: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_382, type, sP107: !>[X0: $tType]:((nat * nat * X0) > $o)).
% 26.16/4.98 tff(pred_def_383, type, sP108: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_384, type, sP109: !>[X0: $tType]:((nat * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_385, type, sP110: !>[X0: $tType]:((X0 * X0 * nat) > $o)).
% 26.16/4.98 tff(pred_def_386, type, sP111: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_387, type, sP112: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_388, type, sP113: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_389, type, sP114: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_390, type, sP115: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_391, type, sP116: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_392, type, sP117: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_393, type, sP118: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_394, type, sP119: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_395, type, sP120: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_396, type, sP121: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_397, type, sP122: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_398, type, sP123: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 26.16/4.98 tff(pred_def_399, type, sP124: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 26.16/4.98 tff(pred_def_400, type, sP125: !>[X0: $tType]:((fun(real,X0) * real * real) > $o)).
% 26.16/4.98 tff(pred_def_401, type, sP126: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_402, type, sP127: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_403, type, sP128: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_404, type, sP129: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_405, type, sP130: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_406, type, sP131: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_407, type, sP132: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_408, type, sP133: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_409, type, sP134: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_410, type, sP135: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_411, type, sP136: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_412, type, sP137: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_413, type, sP138: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_414, type, sP139: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_415, type, sP140: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_416, type, sP141: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_417, type, sP142: !>[X0: $tType]:((X0 * nat) > $o)).
% 26.16/4.98 tff(pred_def_418, type, sP143: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_419, type, sP144: !>[X0: $tType]:((X0 * nat) > $o)).
% 26.16/4.98 tff(pred_def_420, type, sP145: !>[X0: $tType]:((X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_421, type, sP146: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_422, type, sP147: !>[X0: $tType]:((X0 * num) > $o)).
% 26.16/4.98 tff(pred_def_423, type, sP148: !>[X0: $tType]:((fun(nat,X0) * nat) > $o)).
% 26.16/4.98 tff(pred_def_424, type, sP149: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_425, type, sP150: !>[X0: $tType]:((X0 * fun(X0,bool) * X0) > $o)).
% 26.16/4.98 tff(pred_def_426, type, sP151: !>[X0: $tType]:((fun(X0,X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_427, type, sP152: !>[X0: $tType]:((fun(X0,X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_428, type, sP153: !>[X0: $tType]:((fun(X0,bool) * X0) > $o)).
% 26.16/4.98 tff(pred_def_429, type, sP154: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_430, type, sP155: !>[X0: $tType]:((X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_431, type, sP156: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_432, type, sP157: !>[X0: $tType]:((list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_433, type, sP158: !>[X0: $tType]:((set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_434, type, sP159: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_435, type, sP160: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_436, type, sP161: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_437, type, sP162: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_438, type, sP163: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_439, type, sP164: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_440, type, sP165: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_441, type, sP166: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_442, type, sP167: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_443, type, sP168: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_444, type, sP169: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_445, type, sP170: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_446, type, sP171: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_447, type, sP172: !>[X0: $tType]:((set(X0) * set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_448, type, sP173: !>[X0: $tType]:((fun(nat,X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_449, type, sP174: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_450, type, sP175: !>[X0: $tType]:((fun(X0,X0) * fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_451, type, sP176: !>[X0: $tType]:((fun(X0,X0) * fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_452, type, sP177: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_453, type, sP178: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_454, type, sP179: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_455, type, sP180: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_456, type, sP181: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_457, type, sP182: !>[X0: $tType]:((X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_458, type, sP183: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_459, type, sP184: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_460, type, sP185: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_461, type, sP186: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_462, type, sP187: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_463, type, sP188: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_464, type, sP189: !>[X0: $tType]:((X0 * fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_465, type, sP190: !>[X0: $tType]:((fun(nat,X0)) > $o)).
% 26.16/4.98 tff(pred_def_466, type, sP191: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_467, type, sP192: !>[X0: $tType]:((X0 * fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_468, type, sP193: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_469, type, sP194: !>[X0: $tType]:((fun(X0,bool) * fun(X0,bool)) > $o)).
% 26.16/4.98 tff(pred_def_470, type, sP195: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_471, type, sP196: !>[X0: $tType]:($o)).
% 26.16/4.98 tff(pred_def_472, type, sP197: vEBT_VEBT > $o).
% 26.16/4.98 tff(pred_def_473, type, sP198: real > $o).
% 26.16/4.98 tff(pred_def_474, type, sP199: real > $o).
% 26.16/4.98 tff(pred_def_475, type, sP200: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_476, type, sP201: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_477, type, sP202: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_478, type, sP203: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * X1 * set(X1) * fun(X0,X1)) > $o)).
% 26.16/4.98 tff(pred_def_479, type, sP204: !>[X0: $tType, X1: $tType]:($o)).
% 26.16/4.98 tff(pred_def_480, type, sP205: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_481, type, sP206: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_482, type, sP207: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_483, type, sP208: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_484, type, sP209: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_485, type, sP210: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_486, type, sP211: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_487, type, sP212: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_488, type, sP213: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_489, type, sP214: !>[X0: $tType]:((X0 * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_490, type, sP215: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_491, type, sP216: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_492, type, sP217: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_493, type, sP218: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_494, type, sP219: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_495, type, sP220: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_496, type, sP221: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_497, type, sP222: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_498, type, sP223: (list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_499, type, sP224: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_500, type, sP225: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_501, type, sP226: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_502, type, sP227: (list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_503, type, sP228: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_504, type, sP229: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_505, type, sP230: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_506, type, sP231: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_507, type, sP232: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_508, type, sP233: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_509, type, sP234: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_510, type, sP235: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_511, type, sP236: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_512, type, sP237: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_513, type, sP238: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_514, type, sP239: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_515, type, sP240: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_516, type, sP241: (nat * nat * nat * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_517, type, sP242: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_518, type, sP243: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_519, type, sP244: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_520, type, sP245: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_521, type, sP246: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_522, type, sP247: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_523, type, sP248: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_524, type, sP249: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_525, type, sP250: !>[X0: $tType]:((list(list(X0))) > $o)).
% 26.16/4.98 tff(pred_def_526, type, sP251: fun(nat,bool) > $o).
% 26.16/4.98 tff(pred_def_527, type, sP252: (option(nat) * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_528, type, sP253: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_529, type, sP254: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_530, type, sP255: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_531, type, sP256: (option(nat) * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_532, type, sP257: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_533, type, sP258: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_534, type, sP259: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_535, type, sP260: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_536, type, sP261: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_537, type, sP262: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_538, type, sP263: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_539, type, sP264: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_540, type, sP265: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_541, type, sP266: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_542, type, sP267: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_543, type, sP268: fun(int,bool) > $o).
% 26.16/4.98 tff(pred_def_544, type, sP269: fun(nat,bool) > $o).
% 26.16/4.98 tff(pred_def_545, type, sP270: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_546, type, sP271: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_547, type, sP272: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_548, type, sP273: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_549, type, sP274: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_550, type, sP275: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_551, type, sP276: (nat * list(nat)) > $o).
% 26.16/4.98 tff(pred_def_552, type, sP277: (list(nat) * nat) > $o).
% 26.16/4.98 tff(pred_def_553, type, sP278: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_554, type, sP279: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_555, type, sP280: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_556, type, sP281: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_557, type, sP282: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_558, type, sP283: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * fun(X0,X1) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_559, type, sP284: !>[X0: $tType, X1: $tType]:((set(X1) * fun(X1,X0) * X1 * fun(X1,X0)) > $o)).
% 26.16/4.98 tff(pred_def_560, type, sP285: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_561, type, sP286: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_562, type, sP287: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > $o)).
% 26.16/4.98 tff(pred_def_563, type, sP288: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > $o)).
% 26.16/4.98 tff(pred_def_564, type, sP289: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > $o)).
% 26.16/4.98 tff(pred_def_565, type, sP290: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,X1) * fun(X1,bool)) > $o)).
% 26.16/4.98 tff(pred_def_566, type, sP291: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_567, type, sP292: !>[X0: $tType, X1: $tType]:($o)).
% 26.16/4.98 tff(pred_def_568, type, sP293: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X1,bool)) > $o)).
% 26.16/4.98 tff(pred_def_569, type, sP294: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_570, type, sP295: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_571, type, sP296: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_572, type, sP297: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_573, type, sP298: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_574, type, sP299: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_575, type, sP300: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_576, type, sP301: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_577, type, sP302: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_578, type, sP303: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_579, type, sP304: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_580, type, sP305: !>[X0: $tType]:((set(set(product_prod(X0,X0)))) > $o)).
% 26.16/4.98 tff(pred_def_581, type, sP306: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_582, type, sP307: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_583, type, sP308: !>[X0: $tType]:((set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_584, type, sP309: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 26.16/4.98 tff(pred_def_585, type, sP310: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_586, type, sP311: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_587, type, sP312: (list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_588, type, sP313: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 26.16/4.98 tff(pred_def_589, type, sP314: (list(vEBT_VEBT) * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_590, type, sP315: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_591, type, sP316: (list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_592, type, sP317: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_593, type, sP318: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_594, type, sP319: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_595, type, sP320: (nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_596, type, sP321: (vEBT_VEBT * nat) > $o).
% 26.16/4.98 tff(pred_def_597, type, sP322: !>[X0: $tType]:((list(list(X0))) > $o)).
% 26.16/4.98 tff(pred_def_598, type, sP323: !>[X0: $tType]:((list(list(X0))) > $o)).
% 26.16/4.98 tff(pred_def_599, type, sP324: !>[X0: $tType]:((set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_600, type, sP325: (nat * nat) > $o).
% 26.16/4.98 tff(pred_def_601, type, sP326: (nat * nat) > $o).
% 26.16/4.98 tff(pred_def_602, type, sP327: (fun(nat,bool) * nat) > $o).
% 26.16/4.98 tff(pred_def_603, type, sP328: (fun(nat,bool) * nat) > $o).
% 26.16/4.98 tff(pred_def_604, type, sP329: (fun(nat,bool) * nat) > $o).
% 26.16/4.98 tff(pred_def_605, type, sP330: (fun(nat,bool) * nat) > $o).
% 26.16/4.98 tff(pred_def_606, type, sP331: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_607, type, sP332: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_608, type, sP333: (int * int * product_prod(int,int)) > $o).
% 26.16/4.98 tff(pred_def_609, type, sP334: (int * int * product_prod(int,int)) > $o).
% 26.16/4.98 tff(pred_def_610, type, sP335: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_611, type, sP336: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_612, type, sP337: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_613, type, sP338: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_614, type, sP339: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_615, type, sP340: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_616, type, sP341: (vEBT_VEBT * extended_enat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_617, type, sP342: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_618, type, sP343: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_619, type, sP344: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_620, type, sP345: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_621, type, sP346: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_622, type, sP347: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_623, type, sP348: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_624, type, sP349: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_625, type, sP350: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_626, type, sP351: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_627, type, sP352: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_628, type, sP353: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_629, type, sP354: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_630, type, sP355: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_631, type, sP356: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_632, type, sP357: (num * num * num) > $o).
% 26.16/4.98 tff(pred_def_633, type, sP358: (vEBT_VEBT * bool * bool * nat) > $o).
% 26.16/4.98 tff(pred_def_634, type, sP359: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_635, type, sP360: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_636, type, sP361: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_637, type, sP362: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_638, type, sP363: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_639, type, sP364: (vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_640, type, sP365: (vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_641, type, sP366: (vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_642, type, sP367: (vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_643, type, sP368: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_644, type, sP369: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_645, type, sP370: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_646, type, sP371: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_647, type, sP372: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_648, type, sP373: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_649, type, sP374: (vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_650, type, sP375: (nat * vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_651, type, sP376: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_652, type, sP377: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_653, type, sP378: (vEBT_VEBT * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_654, type, sP379: (vEBT_VEBT * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_655, type, sP380: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_656, type, sP381: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_657, type, sP382: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_658, type, sP383: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_659, type, sP384: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_660, type, sP385: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_661, type, sP386: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_662, type, sP387: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_663, type, sP388: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_664, type, sP389: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_665, type, sP390: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_666, type, sP391: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_667, type, sP392: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_668, type, sP393: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_669, type, sP394: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_670, type, sP395: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_671, type, sP396: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_672, type, sP397: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_673, type, sP398: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_674, type, sP399: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_675, type, sP400: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_676, type, sP401: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_677, type, sP402: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_678, type, sP403: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_679, type, sP404: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_680, type, sP405: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_681, type, sP406: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_682, type, sP407: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_683, type, sP408: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_684, type, sP409: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_685, type, sP410: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_686, type, sP411: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_687, type, sP412: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_688, type, sP413: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_689, type, sP414: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_690, type, sP415: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_691, type, sP416: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_692, type, sP417: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_693, type, sP418: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_694, type, sP419: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_695, type, sP420: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_696, type, sP421: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_697, type, sP422: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_698, type, sP423: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_699, type, sP424: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_700, type, sP425: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_701, type, sP426: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_702, type, sP427: (option(num) * num * num) > $o).
% 26.16/4.98 tff(pred_def_703, type, sP428: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_704, type, sP429: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_705, type, sP430: (nat * option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_706, type, sP431: (nat * option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_707, type, sP432: (nat * option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_708, type, sP433: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_709, type, sP434: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_710, type, sP435: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_711, type, sP436: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_712, type, sP437: (option(nat) * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_713, type, sP438: (bool * bool * option(nat) * nat) > $o).
% 26.16/4.98 tff(pred_def_714, type, sP439: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_715, type, sP440: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_716, type, sP441: (nat * option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_717, type, sP442: (nat * option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_718, type, sP443: (nat * option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_719, type, sP444: (nat * option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_720, type, sP445: (option(nat) * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_721, type, sP446: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_722, type, sP447: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_723, type, sP448: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_724, type, sP449: (option(nat) * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_725, type, sP450: (option(nat) * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_726, type, sP451: !>[X0: $tType]:((set(filter(X0))) > $o)).
% 26.16/4.98 tff(pred_def_727, type, sP452: !>[X0: $tType]:((fun(set(X0),bool)) > $o)).
% 26.16/4.98 tff(pred_def_728, type, sP453: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_729, type, sP454: !>[X0: $tType]:((fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_730, type, sP455: !>[X0: $tType]:((fun(X0,nat) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_731, type, sP456: !>[X0: $tType]:((set(X0) * fun(X0,nat)) > $o)).
% 26.16/4.98 tff(pred_def_732, type, sP457: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_733, type, sP458: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_734, type, sP459: fun(nat,fun(nat,bool)) > $o).
% 26.16/4.98 tff(pred_def_735, type, sP460: (fun(nat,bool) * nat) > $o).
% 26.16/4.98 tff(pred_def_736, type, sP461: (real * nat * real) > $o).
% 26.16/4.98 tff(pred_def_737, type, sP462: (real * nat * real) > $o).
% 26.16/4.98 tff(pred_def_738, type, sP463: !>[X0: $tType]:((set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_739, type, sP464: !>[X0: $tType, X1: $tType, X2: $tType]:((fun(X1,fun(X0,X2))) > $o)).
% 26.16/4.98 tff(pred_def_740, type, sP465: !>[X0: $tType, X1: $tType, X2: $tType]:($o)).
% 26.16/4.98 tff(pred_def_741, type, sP466: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_742, type, sP467: (bool * nat * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_743, type, sP468: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 26.16/4.98 tff(pred_def_744, type, sP469: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_745, type, sP470: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_746, type, sP471: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_747, type, sP472: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_748, type, sP473: (bool * nat * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_749, type, sP474: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 26.16/4.98 tff(pred_def_750, type, sP475: (bool * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_751, type, sP476: (bool * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_752, type, sP477: (option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_753, type, sP478: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * bool) > $o).
% 26.16/4.98 tff(pred_def_754, type, sP479: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_755, type, sP480: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_756, type, sP481: (option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_757, type, sP482: (nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * bool) > $o).
% 26.16/4.98 tff(pred_def_758, type, sP483: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_759, type, sP484: (nat * nat * nat * bool) > $o).
% 26.16/4.98 tff(pred_def_760, type, sP485: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_761, type, sP486: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 26.16/4.98 tff(pred_def_762, type, sP487: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 26.16/4.98 tff(pred_def_763, type, sP488: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_764, type, sP489: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_765, type, sP490: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_766, type, sP491: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_767, type, sP492: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_768, type, sP493: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_769, type, sP494: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 26.16/4.98 tff(pred_def_770, type, sP495: (list(vEBT_VEBT) * nat * nat * bool) > $o).
% 26.16/4.98 tff(pred_def_771, type, sP496: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_772, type, sP497: (bool * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_773, type, sP498: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_774, type, sP499: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_775, type, sP500: !>[X0: $tType]:((option(X0) * option(X0)) > $o)).
% 26.16/4.98 tff(pred_def_776, type, sP501: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_777, type, sP502: (bool * nat * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_778, type, sP503: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_779, type, sP504: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 26.16/4.98 tff(pred_def_780, type, sP505: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_781, type, sP506: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_782, type, sP507: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_783, type, sP508: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_784, type, sP509: (nat * bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_785, type, sP510: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_786, type, sP511: (bool * nat * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_787, type, sP512: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_788, type, sP513: (nat * nat * nat * nat * list(vEBT_VEBT) * bool) > $o).
% 26.16/4.98 tff(pred_def_789, type, sP514: (bool * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_790, type, sP515: (bool * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_791, type, sP516: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_792, type, sP517: (bool * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_793, type, sP518: !>[X0: $tType]:((fun(nat,set(X0)) * nat) > $o)).
% 26.16/4.98 tff(pred_def_794, type, sP519: !>[X0: $tType]:((fun(set(X0),bool)) > $o)).
% 26.16/4.98 tff(pred_def_795, type, sP520: (fun(nat,bool) * nat) > $o).
% 26.16/4.98 tff(pred_def_796, type, sP521: !>[X0: $tType]:((nat * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_797, type, sP522: (fun(nat,nat) * nat) > $o).
% 26.16/4.98 tff(pred_def_798, type, sP523: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_799, type, sP524: (nat * nat * set(nat)) > $o).
% 26.16/4.98 tff(pred_def_800, type, sP525: (nat * nat * set(nat)) > $o).
% 26.16/4.98 tff(pred_def_801, type, sP526: (product_prod(int,int) * int * int) > $o).
% 26.16/4.98 tff(pred_def_802, type, sP527: (product_prod(int,int) * int * int) > $o).
% 26.16/4.98 tff(pred_def_803, type, sP528: (int * int * product_prod(int,int)) > $o).
% 26.16/4.98 tff(pred_def_804, type, sP529: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_805, type, sP530: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_806, type, sP531: (nat * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_807, type, sP532: (nat * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_808, type, sP533: !>[X0: $tType]:((fun(nat,nat) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_809, type, sP534: !>[X0: $tType]:((list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_810, type, sP535: (fun(nat,bool) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_811, type, sP536: (fun(nat,bool) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_812, type, sP537: (fun(nat,bool) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_813, type, sP538: (nat * bool) > $o).
% 26.16/4.98 tff(pred_def_814, type, sP539: (fun(real,bool) * real * nat) > $o).
% 26.16/4.98 tff(pred_def_815, type, sP540: !>[X0: $tType]:((nat * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_816, type, sP541: !>[X0: $tType]:((set(set(X0)) * set(set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_817, type, sP542: (fun(nat,bool) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_818, type, sP543: (fun(nat,bool) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_819, type, sP544: (fun(int,bool) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_820, type, sP545: !>[X0: $tType]:((set(product_prod(X0,X0)) * product_prod(set(X0),set(X0))) > $o)).
% 26.16/4.98 tff(pred_def_821, type, sP546: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_822, type, sP547: !>[X0: $tType]:((fun(product_prod(X0,X0),bool) * filter(X0)) > $o)).
% 26.16/4.98 tff(pred_def_823, type, sP548: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_824, type, sP549: !>[X0: $tType]:((fun(nat,fun(X0,bool)) * nat) > $o)).
% 26.16/4.98 tff(pred_def_825, type, sP550: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_826, type, sP551: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_827, type, sP552: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_828, type, sP553: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_829, type, sP554: !>[X0: $tType, X1: $tType]:((fun(fun(X1,X0),fun(X1,fun(X0,bool))) * set(product_prod(X1,X1))) > $o)).
% 26.16/4.98 tff(pred_def_830, type, sP555: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_831, type, sP556: !>[X0: $tType]:((fun(set(X0),bool) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_832, type, sP557: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_833, type, sP558: (fun(nat,fun(real,real)) * real * nat) > $o).
% 26.16/4.98 tff(pred_def_834, type, sP559: (fun(nat,fun(real,real)) * real * nat) > $o).
% 26.16/4.98 tff(pred_def_835, type, sP560: (fun(nat,fun(real,real)) * real * nat) > $o).
% 26.16/4.98 tff(pred_def_836, type, sP561: (fun(nat,fun(real,real)) * real * nat) > $o).
% 26.16/4.98 tff(pred_def_837, type, sP562: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_838, type, sP563: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_839, type, sP564: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_840, type, sP565: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_841, type, sP566: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * X0 * bool) > $o)).
% 26.16/4.98 tff(pred_def_842, type, sP567: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * bool * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_843, type, sP568: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * bool * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_844, type, sP569: !>[X0: $tType]:((list(X0) * fun(X0,fun(X0,bool)) * X0 * bool) > $o)).
% 26.16/4.98 tff(pred_def_845, type, sP570: !>[X0: $tType]:((bool * list(X0) * fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_846, type, sP571: !>[X0: $tType]:((fun(X0,bool) * fun(X0,nat)) > $o)).
% 26.16/4.98 tff(pred_def_847, type, sP572: !>[X0: $tType]:((list(X0) * fun(X0,bool) * nat) > $o)).
% 26.16/4.98 tff(pred_def_848, type, sP573: !>[X0: $tType, X1: $tType]:((fun(X1,set(product_prod(X0,X0))) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_849, type, sP574: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_850, type, sP575: !>[X0: $tType]:((set(set(X0)) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_851, type, sP576: (fun(nat,int) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_852, type, sP577: !>[X0: $tType]:((fun(set(X0),X0) * fun(X0,bool) * fun(X0,fun(X0,bool))) > $o)).
% 26.16/4.98 tff(pred_def_853, type, sP578: (bool * bool * bool * bool) > $o).
% 26.16/4.98 tff(pred_def_854, type, sP579: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_855, type, sP580: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_856, type, sP581: (nat * nat * int * int) > $o).
% 26.16/4.98 tff(pred_def_857, type, sP582: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > $o)).
% 26.16/4.98 tff(pred_def_858, type, sP583: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0) > $o)).
% 26.16/4.98 tff(pred_def_859, type, sP584: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_860, type, sP585: !>[X0: $tType]:((set(X0) * fun(X0,fun(X0,bool)) * X0) > $o)).
% 26.16/4.98 tff(pred_def_861, type, sP586: (int * int * int) > $o).
% 26.16/4.98 tff(pred_def_862, type, sP587: (int * int * int * int) > $o).
% 26.16/4.98 tff(pred_def_863, type, sP588: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_864, type, sP589: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_865, type, sP590: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_866, type, sP591: !>[X0: $tType]:((list(X0) * list(X0) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_867, type, sP592: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_868, type, sP593: !>[X0: $tType]:((fun(X0,bool) * filter(X0) * filter(X0)) > $o)).
% 26.16/4.98 tff(pred_def_869, type, sP594: !>[X0: $tType]:((set(X0) * set(X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_870, type, sP595: !>[X0: $tType]:((X0 * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_871, type, sP596: !>[X0: $tType]:((set(X0) * set(X0) * X0) > $o)).
% 26.16/4.98 tff(pred_def_872, type, sP597: !>[X0: $tType]:((fun(X0,bool) * filter(X0) * filter(X0)) > $o)).
% 26.16/4.98 tff(pred_def_873, type, sP598: !>[X0: $tType]:((set(set(X0)) * set(set(X0)) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_874, type, sP599: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_875, type, sP600: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_876, type, sP601: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_877, type, sP602: !>[X0: $tType]:((set(X0) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_878, type, sP603: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_879, type, sP604: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_880, type, sP605: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_881, type, sP606: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_882, type, sP607: !>[X0: $tType]:((set(product_prod(X0,X0)) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_883, type, sP608: !>[X0: $tType]:((fun(X0,bool) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_884, type, sP609: !>[X0: $tType]:((fun(X0,bool) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_885, type, sP610: !>[X0: $tType]:((fun(X0,bool) * set(X0) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_886, type, sP611: (nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_887, type, sP612: !>[X0: $tType, X1: $tType]:((fun(X1,filter(X0)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_888, type, sP613: !>[X0: $tType, X1: $tType]:((fun(X0,fun(X1,bool)) * set(X1) * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_889, type, sP614: !>[X0: $tType, X1: $tType]:((fun(X0,bool) * set(X1) * fun(X1,filter(X0))) > $o)).
% 26.16/4.98 tff(pred_def_890, type, sP615: !>[X0: $tType, X1: $tType]:((fun(X0,filter(X1)) * set(X0) * fun(X1,bool)) > $o)).
% 26.16/4.98 tff(pred_def_891, type, sP616: !>[X0: $tType]:((X0 * set(X0) * X0 * set(X0)) > $o)).
% 26.16/4.98 tff(pred_def_892, type, sP617: !>[X0: $tType]:((option(X0) * option(X0) * option(X0)) > $o)).
% 26.16/4.98 tff(pred_def_893, type, sP618: !>[X0: $tType]:((option(X0) * fun(X0,fun(X0,X0)) * option(X0) * option(X0)) > $o)).
% 26.16/4.98 tff(pred_def_894, type, sP619: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0)) * X0) > $o)).
% 26.16/4.98 tff(pred_def_895, type, sP620: !>[X0: $tType]:((fun(X0,bool) * set(product_prod(X0,X0)) * X0) > $o)).
% 26.16/4.98 tff(pred_def_896, type, sP621: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_897, type, sP622: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > $o)).
% 26.16/4.98 tff(pred_def_898, type, sP623: !>[X0: $tType]:((X0 * fun(X0,fun(X0,bool)) * X0 * nat) > $o)).
% 26.16/4.98 tff(pred_def_899, type, sP624: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > $o)).
% 26.16/4.98 tff(pred_def_900, type, sP625: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 26.16/4.98 tff(pred_def_901, type, sP626: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * nat) > $o)).
% 26.16/4.98 tff(pred_def_902, type, sP627: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_903, type, sP628: !>[X0: $tType, X1: $tType]:((option(X0) * option(X1) * fun(option(X1),fun(option(X0),bool))) > $o)).
% 26.16/4.98 tff(pred_def_904, type, sP629: !>[X0: $tType, X1: $tType]:((fun(X1,X0) * fun(X0,fun(X0,bool)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_905, type, sP630: !>[X0: $tType, X1: $tType]:((fun(list(product_prod(X1,X0)),bool) * list(X0) * list(X1)) > $o)).
% 26.16/4.98 tff(pred_def_906, type, sP631: (option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_907, type, sP632: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_908, type, sP633: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,bool) * X0) > $o)).
% 26.16/4.98 tff(pred_def_909, type, sP634: !>[X0: $tType]:((nat * fun(nat,X0) * fun(X0,bool) * X0) > $o)).
% 26.16/4.98 tff(pred_def_910, type, sP635: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_911, type, sP636: !>[X0: $tType]:((list(X0) * fun(X0,bool) * X0 * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_912, type, sP637: !>[X0: $tType, X1: $tType]:((fun(product_prod(X1,X0),bool) * filter(X0) * filter(X1)) > $o)).
% 26.16/4.98 tff(pred_def_913, type, sP638: (nat * nat * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_914, type, sP639: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_915, type, sP640: (nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT) > $o).
% 26.16/4.98 tff(pred_def_916, type, sP641: !>[X0: $tType]:((fun(X0,fun(X0,bool)) * nat * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_917, type, sP642: !>[X0: $tType, X1: $tType]:((set(product_prod(X1,X0)) * list(X0) * list(X1)) > $o)).
% 26.16/4.98 tff(pred_def_918, type, sP643: !>[X0: $tType]:((set(product_prod(X0,X0)) * nat * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_919, type, sP644: !>[X0: $tType]:((X0 * X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_920, type, sP645: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_921, type, sP646: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 26.16/4.98 tff(pred_def_922, type, sP647: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 26.16/4.98 tff(pred_def_923, type, sP648: (nat * nat * list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_924, type, sP649: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_925, type, sP650: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(X0,X0)) * X0 * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_926, type, sP651: !>[X0: $tType, X1: $tType]:((option(X0) * fun(X0,X1) * fun(X1,bool) * X1) > $o)).
% 26.16/4.98 tff(pred_def_927, type, sP652: !>[X0: $tType, X1: $tType]:((option(X0) * fun(X0,X1) * fun(X1,bool) * X1) > $o)).
% 26.16/4.98 tff(pred_def_928, type, sP653: !>[X0: $tType, X1: $tType]:((set(X0) * set(X1) * set(X0) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_929, type, sP654: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_930, type, sP655: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_931, type, sP656: !>[X0: $tType]:((X0 * X0 * X0 * X0 * set(product_prod(X0,X0))) > $o)).
% 26.16/4.98 tff(pred_def_932, type, sP657: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_933, type, sP658: !>[X0: $tType, X1: $tType]:((set(X0) * set(X0) * set(X1) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_934, type, sP659: !>[X0: $tType]:((X0 * X0 * set(product_prod(X0,X0)) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_935, type, sP660: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_936, type, sP661: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_937, type, sP662: !>[X0: $tType]:((set(product_prod(X0,X0)) * list(X0) * list(X0) * X0 * X0) > $o)).
% 26.16/4.98 tff(pred_def_938, type, sP663: !>[X0: $tType]:((fun(X0,bool) * list(X0) * X0 * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_939, type, sP664: !>[X0: $tType]:((set(product_prod(X0,X0)) * X0 * X0 * list(X0) * list(X0)) > $o)).
% 26.16/4.98 tff(pred_def_940, type, sP665: (real * real * real) > $o).
% 26.16/4.98 tff(pred_def_941, type, sP666: (fun(nat,fun(real,real)) * real * real * nat) > $o).
% 26.16/4.98 tff(pred_def_942, type, sP667: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 26.16/4.98 tff(pred_def_943, type, sP668: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_944, type, sP669: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_945, type, sP670: (list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_946, type, sP671: (nat * nat * nat * nat * list(vEBT_VEBT)) > $o).
% 26.16/4.98 tff(pred_def_947, type, sP672: (list(vEBT_VEBT) * nat * nat * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_948, type, sP673: (vEBT_VEBT * list(vEBT_VEBT) * nat) > $o).
% 26.16/4.98 tff(pred_def_949, type, sP674: (list(vEBT_VEBT) * nat * nat) > $o).
% 26.16/4.98 tff(pred_def_950, type, sP675: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,X0)) * fun(X0,bool) * fun(X1,bool)) > $o)).
% 26.16/4.98 tff(pred_def_951, type, sP676: !>[X0: $tType, X1: $tType]:((fun(X1,set(X0)) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_952, type, sP677: !>[X0: $tType, X1: $tType]:((X0 * X1 * fun(X1,option(X0)) * X1 * X0) > $o)).
% 26.16/4.98 tff(pred_def_953, type, sP678: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) * list(X0) * list(X1)) > $o)).
% 26.16/4.98 tff(pred_def_954, type, sP679: !>[X0: $tType, X1: $tType]:((fun(X1,fun(X0,bool)) * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) * X0 * X1) > $o)).
% 26.16/4.98 tff(pred_def_955, type, sP680: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X3,set(X2)) * set(X3) * set(X1)) > $o)).
% 26.16/4.98 tff(pred_def_956, type, sP681: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set(X2) * set(X0) * fun(X0,set(X1)) * fun(X1,X3) * fun(X2,set(X3))) > $o)).
% 26.16/4.98 tff(pred_def_957, type, sP682: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(list(X3),fun(list(X2),fun(list(X1),fun(list(X0),bool))))) > $o)).
% 26.16/4.98 tff(pred_def_958, type, sP683: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((fun(X1,set(X0)) * fun(X2,X0) * fun(X1,X3) * fun(X3,set(X2)) * set(X1)) > $o)).
% 26.16/4.98 tff(f73529,plain,(
% 26.16/4.98 $false),
% 26.16/4.98 inference(avatar_sat_refutation,[],[f67034,f67039,f67044,f67049,f67054,f67059,f67064,f67069,f67074,f67079,f67084,f67089,f67094,f67099,f67104,f67109,f67114,f67119,f67124,f67129,f67134,f67139,f67144,f67149,f67154,f67159,f67164,f67169,f67174,f67179,f67184,f67189,f67194,f67199,f67204,f67209,f67214,f67219,f67224,f67229,f67234,f67239,f67244,f67249,f67254,f67259,f67264,f67269,f67274,f67279,f67284,f67289,f67294,f67299,f67304,f67309,f67314,f67319,f67324,f67329,f67334,f67339,f67344,f67349,f67354,f67359,f67364,f67369,f67374,f67379,f67384,f67389,f67394,f67399,f67404,f67409,f67414,f67419,f67424,f67429,f67434,f67439,f67444,f67449,f67454,f67459,f67464,f67469,f67474,f67479,f67484,f67489,f67494,f67499,f67504,f67509,f67514,f67519,f67524,f67529,f67534,f67539,f67544,f67549,f67554,f67559,f67564,f67569,f67574,f67579,f67584,f67589,f67594,f67599,f67604,f67609,f67614,f67619,f67624,f67629,f67634,f67639,f67644,f67649,f67654,f67659,f67664,f67669,f67674,f67679,f67684,f67689,f67694,f67699,f67704,f67709,f67714,f67719,f67724,f67729,f67734,f67739,f67744,f67749,f67754,f67759,f67764,f67769,f67774,f67779,f67784,f67789,f67794,f67799,f67804,f67809,f67814,f67819,f67824,f67829,f67834,f67839,f67844,f67849,f67854,f67859,f67864,f67869,f67874,f67879,f67884,f67889,f67894,f67899,f67904,f67909,f67914,f67919,f67924,f67929,f67934,f67939,f67944,f67949,f67954,f67959,f67964,f67969,f67974,f67979,f67984,f67989,f67994,f67999,f68004,f68009,f68014,f68019,f68024,f68029,f68034,f68039,f68044,f68049,f68054,f68059,f68064,f68069,f68074,f68079,f68084,f68089,f68094,f68099,f68104,f68109,f68114,f68119,f68124,f68129,f68134,f68139,f68144,f68149,f68154,f68159,f68164,f68169,f68174,f68179,f68184,f68189,f68194,f68199,f68204,f68209,f68214,f68219,f68224,f68229,f68234,f68239,f68244,f68249,f68254,f68259,f68264,f68269,f68274,f68279,f68284,f68289,f68294,f68299,f68304,f68309,f68314,f68319,f68324,f68329,f68334,f68339,f68344,f68349,f68354,f68359,f68364,f68369,f68374,f68379,f68384,f68389,f68394,f68399,f68404,f68409,f68414,f68419,f68424,f68429,f68434,f68439,f68444,f68449,f68454,f68459,f68464,f68469,f68474,f68479,f68484,f68489,f68494,f68499,f68504,f68509,f68514,f68519,f68524,f68529,f68534,f68539,f68544,f68549,f68554,f68559,f68564,f68569,f68574,f68579,f68584,f68589,f68594,f68599,f68604,f68609,f68614,f68619,f68624,f68629,f68634,f68639,f68644,f68649,f68654,f68659,f68664,f68669,f68674,f68679,f68684,f68689,f68694,f68699,f68704,f68709,f68714,f68719,f68724,f68729,f68734,f68739,f68744,f68749,f68754,f68759,f68764,f68769,f68774,f68779,f68784,f68789,f68794,f68799,f68804,f68809,f68814,f68819,f68824,f68829,f68834,f68839,f68844,f68849,f68854,f68859,f68864,f68869,f68874,f68879,f68884,f68889,f68894,f68899,f68904,f68909,f68914,f68919,f68924,f68929,f68934,f68939,f68944,f68949,f68954,f68959,f68964,f68969,f68974,f68979,f68984,f68989,f68994,f68999,f69004,f69009,f69014,f69019,f69024,f69029,f69034,f69039,f69044,f69049,f69054,f69059,f69064,f69069,f69074,f69079,f69084,f69089,f69094,f69099,f69104,f69109,f69114,f69119,f69124,f69129,f69134,f69139,f69144,f69149,f69154,f69159,f69164,f69169,f69174,f69179,f69184,f69189,f69194,f69199,f69204,f69209,f69214,f69219,f69224,f69229,f69234,f69239,f69244,f69249,f69254,f69259,f69264,f69269,f69274,f69279,f69284,f69289,f69294,f69299,f69304,f69309,f69314,f69319,f69324,f69329,f69334,f69339,f69344,f69349,f69354,f69359,f69364,f69369,f69374,f69379,f69384,f69389,f69394,f69399,f69404,f69409,f69414,f69419,f69424,f69429,f69434,f69439,f69444,f69449,f69454,f69459,f69464,f69469,f69474,f69479,f69484,f69489,f69494,f69499,f69504,f69509,f69514,f69519,f69524,f69529,f69534,f69539,f69544,f69549,f69554,f69559,f69564,f69569,f69574,f69579,f69584,f69589,f69594,f69599,f69604,f69609,f69614,f69619,f69624,f69629,f69634,f69639,f69644,f69649,f69654,f69659,f69664,f69669,f69674,f69679,f69684,f69689,f69694,f69699,f69704,f69709,f69714,f69719,f69724,f69729,f69734,f69739,f69744,f69749,f69754,f69759,f69764,f69769,f69774,f69779,f69784,f69789,f69794,f69799,f69804,f69809,f69814,f69819,f69824,f69829,f69834,f69839,f69844,f69849,f69854,f69859,f69864,f69869,f69874,f69879,f69884,f69889,f69894,f69899,f69904,f69909,f69914,f69919,f69924,f69929,f69934,f69939,f69944,f69949,f69954,f69959,f69964,f69969,f69974,f69979,f69984,f69989,f69994,f69999,f70004,f70009,f70014,f70019,f70024,f70029,f70034,f70039,f70044,f70049,f70054,f70059,f70064,f70069,f70074,f70079,f70084,f70089,f70094,f70099,f70104,f70109,f70114,f70119,f70124,f70129,f70134,f70139,f70144,f70149,f70154,f70159,f70164,f70169,f70174,f70179,f70184,f70189,f70194,f70199,f70204,f70209,f70214,f70219,f70224,f70229,f70234,f70239,f70244,f70249,f70254,f70259,f70264,f70269,f70274,f70279,f70284,f70289,f70294,f70299,f70304,f70309,f70314,f70319,f70324,f70329,f70334,f70339,f70344,f70349,f70354,f70359,f70364,f70369,f70374,f70379,f70384,f70389,f70394,f70399,f70404,f70409,f70414,f70419,f70424,f70429,f70434,f70439,f70444,f70449,f70454,f70459,f70464,f70469,f70474,f70479,f70484,f70489,f70494,f70499,f70504,f70509,f70514,f70519,f70524,f70529,f70534,f70539,f70544,f70549,f70553,f70557,f70561,f70565,f70569,f70573,f70577,f70581,f70585,f70589,f70593,f70597,f70601,f70605,f70609,f70613,f70617,f70621,f70625,f70629,f70633,f70637,f70641,f70645,f70649,f70653,f70657,f70661,f70665,f70669,f70673,f70677,f70681,f70685,f70689,f70693,f70697,f70701,f70705,f70709,f70713,f70717,f70722,f70727,f70732,f70736,f70740,f70744,f70748,f70752,f70756,f70760,f70764,f70768,f70772,f70776,f70780,f70784,f70788,f70792,f70796,f70800,f70804,f70808,f70812,f70816,f70820,f70824,f70828,f70832,f70836,f70840,f70844,f70848,f70852,f70856,f70860,f70864,f70868,f70872,f70876,f70880,f70884,f70888,f70892,f70896,f70900,f70904,f70908,f70912,f70916,f70920,f70924,f70928,f70932,f70936,f70940,f70944,f70948,f70952,f70956,f70960,f70964,f70968,f70972,f70976,f70980,f70984,f70988,f70992,f70996,f71000,f71004,f71008,f71012,f71016,f71020,f71024,f71028,f71032,f71036,f71040,f71044,f71048,f71052,f71056,f71060,f71064,f71068,f71072,f71076,f71080,f71084,f71088,f71092,f71096,f71109,f71134,f71159,f71185,f71220,f71265,f71314,f71400,f71405,f71411,f71416,f71421,f71426,f71430,f71435,f71439,f71443,f71447,f71451,f71455,f71459,f71463,f71467,f71471,f71475,f71480,f71484,f71488,f71492,f71496,f71500,f71504,f71508,f71512,f71516,f71520,f71525,f71529,f71533,f71537,f71541,f71545,f71549,f71553,f71557,f71562,f71567,f71572,f71576,f71581,f71586,f71591,f71596,f71600,f71604,f71609,f71614,f71619,f71624,f71629,f71635,f71640,f71645,f71650,f71654,f71658,f71662,f71666,f71670,f71674,f71679,f71683,f71687,f71691,f71695,f71699,f71703,f71707,f71711,f71715,f71719,f71724,f71728,f71732,f71736,f71740,f71744,f71748,f71752,f71756,f71760,f71764,f71769,f71773,f71777,f71781,f71785,f71789,f71793,f71797,f71801,f71805,f71809,f71814,f71818,f71822,f71826,f71830,f71834,f71838,f71842,f71846,f71850,f71854,f71859,f71863,f71867,f71871,f71875,f71879,f71883,f71887,f71891,f71895,f71899,f71904,f71909,f71913,f71917,f71921,f71925,f71929,f71933,f71937,f71941,f71945,f71950,f71954,f71958,f71962,f71966,f71970,f71974,f71978,f71982,f71986,f71990,f71995,f71999,f72003,f72007,f72011,f72015,f72019,f72023,f72027,f72031,f72036,f72041,f72045,f72049,f72063,f72072,f72080,f72088,f72096,f72103,f72109,f72114,f72121,f72126,f72131,f72136,f72141,f72146,f72151,f72155,f72160,f72164,f72168,f72172,f72176,f72180,f72184,f72188,f72192,f72196,f72200,f72205,f72209,f72213,f72217,f72221,f72225,f72229,f72233,f72237,f72241,f72245,f72250,f72254,f72258,f72262,f72266,f72270,f72274,f72278,f72282,f72286,f72290,f72295,f72299,f72303,f72307,f72311,f72315,f72319,f72323,f72327,f72331,f72335,f72340,f72344,f72348,f72352,f72356,f72360,f72364,f72368,f72372,f72376,f72380,f72385,f72389,f72393,f72397,f72401,f72405,f72409,f72413,f72417,f72421,f72425,f72430,f72434,f72438,f72442,f72446,f72450,f72454,f72458,f72462,f72466,f72470,f72475,f72479,f72483,f72487,f72491,f72495,f72499,f72503,f72507,f72511,f72515,f72520,f72524,f72528,f72532,f72536,f72540,f72544,f72548,f72552,f72556,f72560,f72565,f72569,f72573,f72577,f72582,f72587,f72592,f72597,f72601,f72605,f72609,f72614,f72618,f72622,f72626,f72631,f72637,f72642,f72652,f72657,f72662,f72667,f72672,f72677,f72688,f72693,f72697,f72701,f72705,f72709,f72713,f72718,f72722,f72726,f72730,f72734,f72738,f72742,f72746,f72750,f72754,f72758,f72763,f72767,f72771,f72775,f72779,f72783,f72787,f72791,f72795,f72799,f72803,f72808,f72812,f72816,f72820,f72824,f72828,f72832,f72836,f72840,f72844,f72848,f72853,f72857,f72861,f72865,f72869,f72873,f72877,f72881,f72885,f72889,f72893,f72898,f72902,f72906,f72910,f72914,f72918,f72922,f72926,f72930,f72934,f72938,f72943,f72947,f72951,f72955,f72959,f72963,f72967,f72971,f72975,f72979,f72983,f72988,f72992,f72996,f73000,f73004,f73008,f73012,f73016,f73020,f73024,f73028,f73033,f73037,f73041,f73045,f73049,f73053,f73057,f73061,f73065,f73069,f73073,f73078,f73082,f73086,f73090,f73094,f73098,f73102,f73106,f73110,f73114,f73118,f73123,f73127,f73131,f73135,f73139,f73143,f73147,f73151,f73155,f73159,f73163,f73168,f73172,f73176,f73180,f73184,f73188,f73192,f73196,f73200,f73204,f73208,f73213,f73217,f73221,f73225,f73229,f73233,f73237,f73241,f73245,f73249,f73253,f73258,f73263,f73268,f73272,f73276,f73280,f73284,f73288,f73296,f73300,f73305,f73313,f73317,f73321,f73325,f73329,f73333,f73337,f73341,f73345,f73349,f73353,f73357,f73361,f73365,f73369,f73373,f73377,f73382,f73392,f73404,f73419,f73429,f73442,f73456,f73462,f73468,f73480,f73494,f73499,f73506,f73513,f73520,f73526,f73528])).
% 26.16/4.98 tff(f73528,plain,(
% 26.16/4.98 ~spl4009_1015 | spl4009_1325),
% 26.16/4.98 inference(avatar_split_clause,[],[f73527,f73523,f72143])).
% 26.16/4.98 tff(f72143,plain,(
% 26.16/4.98 spl4009_1015 <=> sa = vEBT_Node(info,deg,treeList,summary)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1015])])).
% 26.16/4.98 tff(f73523,plain,(
% 26.16/4.98 spl4009_1325 <=> sa = vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1325])])).
% 26.16/4.98 tff(f73527,plain,(
% 26.16/4.98 sa != vEBT_Node(info,deg,treeList,summary) | spl4009_1325),
% 26.16/4.98 inference(forward_demodulation,[],[f73525,f37698])).
% 26.16/4.98 tff(f37698,plain,(
% 26.16/4.98 info = aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma))),
% 26.16/4.98 inference(cnf_transformation,[],[f3])).
% 26.16/4.98 tff(f3,axiom,(
% 26.16/4.98 info = aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_infsplit)).
% 26.16/4.98 tff(f73525,plain,(
% 26.16/4.98 sa != vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary) | spl4009_1325),
% 26.16/4.98 inference(avatar_component_clause,[],[f73523])).
% 26.16/4.98 tff(f73526,plain,(
% 26.16/4.98 ~spl4009_1325),
% 26.16/4.98 inference(avatar_split_clause,[],[f53884,f73523])).
% 26.16/4.98 tff(f53884,plain,(
% 26.16/4.98 sa != vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)),
% 26.16/4.98 inference(definition_unfolding,[],[f36857,f37563,f37560])).
% 26.16/4.98 tff(f37560,plain,(
% 26.16/4.98 summary2 = summary),
% 26.16/4.98 inference(cnf_transformation,[],[f1])).
% 26.16/4.98 tff(f1,axiom,(
% 26.16/4.98 summary2 = summary),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062summary_A_061_Asummary_H_092_060close_062)).
% 26.16/4.98 tff(f37563,plain,(
% 26.16/4.98 treeList2 = treeList),
% 26.16/4.98 inference(cnf_transformation,[],[f8])).
% 26.16/4.98 tff(f8,axiom,(
% 26.16/4.98 treeList2 = treeList),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062treeList_A_061_AtreeList_H_092_060close_062)).
% 26.16/4.98 tff(f36857,plain,(
% 26.16/4.98 vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2) != sa),
% 26.16/4.98 inference(cnf_transformation,[],[f9936])).
% 26.16/4.98 tff(f9936,plain,(
% 26.16/4.98 vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2) != sa),
% 26.16/4.98 inference(flattening,[],[f9935])).
% 26.16/4.98 tff(f9935,negated_conjecture,(
% 26.16/4.98 ~vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2) = sa),
% 26.16/4.98 inference(negated_conjecture,[],[f9934])).
% 26.16/4.98 tff(f9934,conjecture,(
% 26.16/4.98 vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2) = sa),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 26.16/4.98 tff(f73520,plain,(
% 26.16/4.98 spl4009_1324 | ~spl4009_114 | ~spl4009_791),
% 26.16/4.98 inference(avatar_split_clause,[],[f71200,f70898,f67596,f73517])).
% 26.16/4.98 tff(f73517,plain,(
% 26.16/4.98 spl4009_1324 <=> sP96(real)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1324])])).
% 26.16/4.98 tff(f67596,plain,(
% 26.16/4.98 spl4009_114 <=> division_ring(real)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_114])])).
% 26.16/4.98 tff(f70898,plain,(
% 26.16/4.98 spl4009_791 <=> ! [X0 : $tType] : (sP96(X0) | ~division_ring(X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_791])])).
% 26.16/4.98 tff(f71200,plain,(
% 26.16/4.98 sP96(real) | (~spl4009_114 | ~spl4009_791)),
% 26.16/4.98 inference(resolution,[],[f70899,f67598])).
% 26.16/4.98 tff(f67598,plain,(
% 26.16/4.98 division_ring(real) | ~spl4009_114),
% 26.16/4.98 inference(avatar_component_clause,[],[f67596])).
% 26.16/4.98 tff(f70899,plain,(
% 26.16/4.98 ( ! [X0 : $tType] : (~division_ring(X0) | sP96(X0)) ) | ~spl4009_791),
% 26.16/4.98 inference(avatar_component_clause,[],[f70898])).
% 26.16/4.98 tff(f73513,plain,(
% 26.16/4.98 spl4009_1323 | ~spl4009_113 | ~spl4009_791),
% 26.16/4.98 inference(avatar_split_clause,[],[f71199,f70898,f67591,f73510])).
% 26.16/4.98 tff(f73510,plain,(
% 26.16/4.98 spl4009_1323 <=> sP96(rat)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1323])])).
% 26.16/4.98 tff(f67591,plain,(
% 26.16/4.98 spl4009_113 <=> division_ring(rat)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_113])])).
% 26.16/4.98 tff(f71199,plain,(
% 26.16/4.98 sP96(rat) | (~spl4009_113 | ~spl4009_791)),
% 26.16/4.98 inference(resolution,[],[f70899,f67593])).
% 26.16/4.98 tff(f67593,plain,(
% 26.16/4.98 division_ring(rat) | ~spl4009_113),
% 26.16/4.98 inference(avatar_component_clause,[],[f67591])).
% 26.16/4.98 tff(f73506,plain,(
% 26.16/4.98 spl4009_1322 | ~spl4009_112 | ~spl4009_791),
% 26.16/4.98 inference(avatar_split_clause,[],[f71198,f70898,f67586,f73503])).
% 26.16/4.98 tff(f73503,plain,(
% 26.16/4.98 spl4009_1322 <=> sP96(complex)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1322])])).
% 26.16/4.98 tff(f67586,plain,(
% 26.16/4.98 spl4009_112 <=> division_ring(complex)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_112])])).
% 26.16/4.98 tff(f71198,plain,(
% 26.16/4.98 sP96(complex) | (~spl4009_112 | ~spl4009_791)),
% 26.16/4.98 inference(resolution,[],[f70899,f67588])).
% 26.16/4.98 tff(f67588,plain,(
% 26.16/4.98 division_ring(complex) | ~spl4009_112),
% 26.16/4.98 inference(avatar_component_clause,[],[f67586])).
% 26.16/4.98 tff(f73499,plain,(
% 26.16/4.98 spl4009_1321 | ~spl4009_114 | ~spl4009_790),
% 26.16/4.98 inference(avatar_split_clause,[],[f71197,f70894,f67596,f73496])).
% 26.16/4.98 tff(f73496,plain,(
% 26.16/4.98 spl4009_1321 <=> sP94(real)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1321])])).
% 26.16/4.98 tff(f70894,plain,(
% 26.16/4.98 spl4009_790 <=> ! [X0 : $tType] : (sP94(X0) | ~division_ring(X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_790])])).
% 26.16/4.98 tff(f71197,plain,(
% 26.16/4.98 sP94(real) | (~spl4009_114 | ~spl4009_790)),
% 26.16/4.98 inference(resolution,[],[f70895,f67598])).
% 26.16/4.98 tff(f70895,plain,(
% 26.16/4.98 ( ! [X0 : $tType] : (~division_ring(X0) | sP94(X0)) ) | ~spl4009_790),
% 26.16/4.98 inference(avatar_component_clause,[],[f70894])).
% 26.16/4.98 tff(f73494,plain,(
% 26.16/4.98 spl4009_1320 | ~spl4009_113 | ~spl4009_790),
% 26.16/4.98 inference(avatar_split_clause,[],[f71196,f70894,f67591,f73491])).
% 26.16/4.98 tff(f73491,plain,(
% 26.16/4.98 spl4009_1320 <=> sP94(rat)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1320])])).
% 26.16/4.98 tff(f71196,plain,(
% 26.16/4.98 sP94(rat) | (~spl4009_113 | ~spl4009_790)),
% 26.16/4.98 inference(resolution,[],[f70895,f67593])).
% 26.16/4.98 tff(f73480,plain,(
% 26.16/4.98 spl4009_1319 | ~spl4009_112 | ~spl4009_790),
% 26.16/4.98 inference(avatar_split_clause,[],[f71195,f70894,f67586,f73477])).
% 26.16/4.98 tff(f73477,plain,(
% 26.16/4.98 spl4009_1319 <=> sP94(complex)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1319])])).
% 26.16/4.98 tff(f71195,plain,(
% 26.16/4.98 sP94(complex) | (~spl4009_112 | ~spl4009_790)),
% 26.16/4.98 inference(resolution,[],[f70895,f67588])).
% 26.16/4.98 tff(f73468,plain,(
% 26.16/4.98 spl4009_1318 | ~spl4009_114 | ~spl4009_789),
% 26.16/4.98 inference(avatar_split_clause,[],[f71194,f70890,f67596,f73465])).
% 26.16/4.98 tff(f73465,plain,(
% 26.16/4.98 spl4009_1318 <=> sP92(real)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1318])])).
% 26.16/4.98 tff(f70890,plain,(
% 26.16/4.98 spl4009_789 <=> ! [X0 : $tType] : (sP92(X0) | ~division_ring(X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_789])])).
% 26.16/4.98 tff(f71194,plain,(
% 26.16/4.98 sP92(real) | (~spl4009_114 | ~spl4009_789)),
% 26.16/4.98 inference(resolution,[],[f70891,f67598])).
% 26.16/4.98 tff(f70891,plain,(
% 26.16/4.98 ( ! [X0 : $tType] : (~division_ring(X0) | sP92(X0)) ) | ~spl4009_789),
% 26.16/4.98 inference(avatar_component_clause,[],[f70890])).
% 26.16/4.98 tff(f73462,plain,(
% 26.16/4.98 spl4009_1317 | ~spl4009_113 | ~spl4009_789),
% 26.16/4.98 inference(avatar_split_clause,[],[f71193,f70890,f67591,f73459])).
% 26.16/4.98 tff(f73459,plain,(
% 26.16/4.98 spl4009_1317 <=> sP92(rat)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1317])])).
% 26.16/4.98 tff(f71193,plain,(
% 26.16/4.98 sP92(rat) | (~spl4009_113 | ~spl4009_789)),
% 26.16/4.98 inference(resolution,[],[f70891,f67593])).
% 26.16/4.98 tff(f73456,plain,(
% 26.16/4.98 spl4009_1316 | ~spl4009_112 | ~spl4009_789),
% 26.16/4.98 inference(avatar_split_clause,[],[f71192,f70890,f67586,f73453])).
% 26.16/4.98 tff(f73453,plain,(
% 26.16/4.98 spl4009_1316 <=> sP92(complex)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1316])])).
% 26.16/4.98 tff(f71192,plain,(
% 26.16/4.98 sP92(complex) | (~spl4009_112 | ~spl4009_789)),
% 26.16/4.98 inference(resolution,[],[f70891,f67588])).
% 26.16/4.98 tff(f73442,plain,(
% 26.16/4.98 spl4009_1315 | ~spl4009_114 | ~spl4009_788),
% 26.16/4.98 inference(avatar_split_clause,[],[f71191,f70886,f67596,f73439])).
% 26.16/4.98 tff(f73439,plain,(
% 26.16/4.98 spl4009_1315 <=> sP90(real)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1315])])).
% 26.16/4.98 tff(f70886,plain,(
% 26.16/4.98 spl4009_788 <=> ! [X0 : $tType] : (sP90(X0) | ~division_ring(X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_788])])).
% 26.16/4.98 tff(f71191,plain,(
% 26.16/4.98 sP90(real) | (~spl4009_114 | ~spl4009_788)),
% 26.16/4.98 inference(resolution,[],[f70887,f67598])).
% 26.16/4.98 tff(f70887,plain,(
% 26.16/4.98 ( ! [X0 : $tType] : (~division_ring(X0) | sP90(X0)) ) | ~spl4009_788),
% 26.16/4.98 inference(avatar_component_clause,[],[f70886])).
% 26.16/4.98 tff(f73429,plain,(
% 26.16/4.98 spl4009_1314 | ~spl4009_113 | ~spl4009_788),
% 26.16/4.98 inference(avatar_split_clause,[],[f71190,f70886,f67591,f73426])).
% 26.16/4.98 tff(f73426,plain,(
% 26.16/4.98 spl4009_1314 <=> sP90(rat)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1314])])).
% 26.16/4.98 tff(f71190,plain,(
% 26.16/4.98 sP90(rat) | (~spl4009_113 | ~spl4009_788)),
% 26.16/4.98 inference(resolution,[],[f70887,f67593])).
% 26.16/4.98 tff(f73419,plain,(
% 26.16/4.98 spl4009_1313 | ~spl4009_112 | ~spl4009_788),
% 26.16/4.98 inference(avatar_split_clause,[],[f71189,f70886,f67586,f73416])).
% 26.16/4.98 tff(f73416,plain,(
% 26.16/4.98 spl4009_1313 <=> sP90(complex)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1313])])).
% 26.16/4.98 tff(f71189,plain,(
% 26.16/4.98 sP90(complex) | (~spl4009_112 | ~spl4009_788)),
% 26.16/4.98 inference(resolution,[],[f70887,f67588])).
% 26.16/4.98 tff(f73404,plain,(
% 26.16/4.98 spl4009_1312 | ~spl4009_114 | ~spl4009_787),
% 26.16/4.98 inference(avatar_split_clause,[],[f71188,f70882,f67596,f73401])).
% 26.16/4.98 tff(f73401,plain,(
% 26.16/4.98 spl4009_1312 <=> sP88(real)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1312])])).
% 26.16/4.98 tff(f70882,plain,(
% 26.16/4.98 spl4009_787 <=> ! [X0 : $tType] : (sP88(X0) | ~division_ring(X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_787])])).
% 26.16/4.98 tff(f71188,plain,(
% 26.16/4.98 sP88(real) | (~spl4009_114 | ~spl4009_787)),
% 26.16/4.98 inference(resolution,[],[f70883,f67598])).
% 26.16/4.98 tff(f70883,plain,(
% 26.16/4.98 ( ! [X0 : $tType] : (~division_ring(X0) | sP88(X0)) ) | ~spl4009_787),
% 26.16/4.98 inference(avatar_component_clause,[],[f70882])).
% 26.16/4.98 tff(f73392,plain,(
% 26.16/4.98 spl4009_1311 | ~spl4009_113 | ~spl4009_787),
% 26.16/4.98 inference(avatar_split_clause,[],[f71187,f70882,f67591,f73389])).
% 26.16/4.98 tff(f73389,plain,(
% 26.16/4.98 spl4009_1311 <=> sP88(rat)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1311])])).
% 26.16/4.98 tff(f71187,plain,(
% 26.16/4.98 sP88(rat) | (~spl4009_113 | ~spl4009_787)),
% 26.16/4.98 inference(resolution,[],[f70883,f67593])).
% 26.16/4.98 tff(f73382,plain,(
% 26.16/4.98 spl4009_1310 | ~spl4009_112 | ~spl4009_787),
% 26.16/4.98 inference(avatar_split_clause,[],[f71186,f70882,f67586,f73379])).
% 26.16/4.98 tff(f73379,plain,(
% 26.16/4.98 spl4009_1310 <=> sP88(complex)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1310])])).
% 26.16/4.98 tff(f71186,plain,(
% 26.16/4.98 sP88(complex) | (~spl4009_112 | ~spl4009_787)),
% 26.16/4.98 inference(resolution,[],[f70883,f67588])).
% 26.16/4.98 tff(f73377,plain,(
% 26.16/4.98 spl4009_1309),
% 26.16/4.98 inference(avatar_split_clause,[],[f63282,f73375])).
% 26.16/4.98 tff(f73375,plain,(
% 26.16/4.98 spl4009_1309 <=> ! [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)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1309])])).
% 26.16/4.98 tff(f63282,plain,(
% 26.16/4.98 ( ! [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)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f49832,f37568])).
% 26.16/4.98 tff(f37568,plain,(
% 26.16/4.98 zero_zero(nat) = size_num(one2)),
% 26.16/4.98 inference(cnf_transformation,[],[f2454])).
% 26.16/4.98 tff(f2454,axiom,(
% 26.16/4.98 zero_zero(nat) = size_num(one2)),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2453_num_Osize__gen_I1_J)).
% 26.16/4.98 tff(f49832,plain,(
% 26.16/4.98 ( ! [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)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f16645])).
% 26.16/4.98 tff(f16645,plain,(
% 26.16/4.98 ! [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)),
% 26.16/4.98 inference(rectify,[],[f1170])).
% 26.16/4.98 tff(f1170,axiom,(
% 26.16/4.98 ! [X108 : option(product_prod(nat,nat)),X109 : list(vEBT_VEBT),X111 : vEBT_VEBT,X79 : nat] : ~vEBT_V5719532721284313246member(vEBT_Node(X108,zero_zero(nat),X109,X111),X79)),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1169_VEBT__internal_Onaive__member_Osimps_I2_J)).
% 26.16/4.98 tff(f73373,plain,(
% 26.16/4.98 spl4009_1308),
% 26.16/4.98 inference(avatar_split_clause,[],[f63020,f73371])).
% 26.16/4.98 tff(f73371,plain,(
% 26.16/4.98 spl4009_1308 <=> ! [X0 : bool,X1 : bool] : (~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),size_num(one2)) | pp(X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1308])])).
% 26.16/4.98 tff(f63020,plain,(
% 26.16/4.98 ( ! [X0 : bool,X1 : bool] : (~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),size_num(one2)) | pp(X0)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f57220,f37568])).
% 26.16/4.98 tff(f57220,plain,(
% 26.16/4.98 ( ! [X0 : bool,X1 : bool] : (pp(X0) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),zero_zero(nat))) )),
% 26.16/4.98 inference(equality_resolution,[],[f49211])).
% 26.16/4.98 tff(f49211,plain,(
% 26.16/4.98 ( ! [X2 : nat,X0 : bool,X1 : bool] : (pp(X0) | zero_zero(nat) != X2 | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34174])).
% 26.16/4.98 tff(f34174,plain,(
% 26.16/4.98 ! [X0 : bool,X1 : bool,X2 : nat] : ((vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) | ~sP530(X2,X1) | (~pp(X0) & zero_zero(nat) = X2)) & ((sP530(X2,X1) & (pp(X0) | zero_zero(nat) != X2)) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)))),
% 26.16/4.98 inference(flattening,[],[f34173])).
% 26.16/4.98 tff(f34173,plain,(
% 26.16/4.98 ! [X0 : bool,X1 : bool,X2 : nat] : ((vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) | (~sP530(X2,X1) | (~pp(X0) & zero_zero(nat) = X2))) & ((sP530(X2,X1) & (pp(X0) | zero_zero(nat) != X2)) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)))),
% 26.16/4.98 inference(nnf_transformation,[],[f28144])).
% 26.16/4.98 tff(f28144,plain,(
% 26.16/4.98 ! [X0 : bool,X1 : bool,X2 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2) <=> (sP530(X2,X1) & (pp(X0) | zero_zero(nat) != X2)))),
% 26.16/4.98 inference(definition_folding,[],[f25461,f28143])).
% 26.16/4.98 tff(f28143,plain,(
% 26.16/4.98 ! [X2 : nat,X1 : bool] : (sP530(X2,X1) <=> ((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP530])])).
% 26.16/4.98 tff(f25461,plain,(
% 26.16/4.98 ! [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)))),
% 26.16/4.98 inference(ennf_transformation,[],[f16442])).
% 26.16/4.98 tff(f16442,plain,(
% 26.16/4.98 ! [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))))),
% 26.16/4.98 inference(rectify,[],[f1359])).
% 26.16/4.98 tff(f1359,axiom,(
% 26.16/4.98 ! [X19 : bool,X20 : bool,X25 : nat] : (vEBT_V5719532721284313246member(vEBT_Leaf(X19,X20),X25) <=> ((zero_zero(nat) != X25 => (one_one(nat) = X25 & (one_one(nat) = X25 => pp(X20)))) & (zero_zero(nat) = X25 => pp(X19))))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1358_VEBT__internal_Onaive__member_Osimps_I1_J)).
% 26.16/4.98 tff(f73369,plain,(
% 26.16/4.98 spl4009_1307),
% 26.16/4.98 inference(avatar_split_clause,[],[f62198,f73367])).
% 26.16/4.98 tff(f73367,plain,(
% 26.16/4.98 spl4009_1307 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (one_one(nat) = X1 | ~sP446(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1307])])).
% 26.16/4.98 tff(f62198,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (one_one(nat) = X1 | ~sP446(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f62197,f57908])).
% 26.16/4.98 tff(f57908,plain,(
% 26.16/4.98 one_one(nat) = aa(nat,nat,suc,size_num(one2))),
% 26.16/4.98 inference(forward_demodulation,[],[f37592,f37568])).
% 26.16/4.98 tff(f37592,plain,(
% 26.16/4.98 one_one(nat) = aa(nat,nat,suc,zero_zero(nat))),
% 26.16/4.98 inference(cnf_transformation,[],[f1164])).
% 26.16/4.98 tff(f1164,axiom,(
% 26.16/4.98 one_one(nat) = aa(nat,nat,suc,zero_zero(nat))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1163_One__nat__def)).
% 26.16/4.98 tff(f62197,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | ~sP446(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f48232,f37568])).
% 26.16/4.98 tff(f48232,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP446(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33491])).
% 26.16/4.98 tff(f33491,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (((none(nat) = X0 | pp(sK2765(X0,X1,X2))) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(sK2765(X0,X1,X2))) & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK2765(X0,X1,X2),sK2766(X0,X1,X2)) = X2) | ~sP446(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2765,sK2766])],[f33488,f33490,f33489])).
% 26.16/4.98 tff(f33489,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool] : ((none(nat) = X0 | pp(X3)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(X3)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool] : vEBT_Leaf(X3,X4) = X2) => ((none(nat) = X0 | pp(sK2765(X0,X1,X2))) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(sK2765(X0,X1,X2))) & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool] : vEBT_Leaf(sK2765(X0,X1,X2),X4) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33490,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X4 : bool] : vEBT_Leaf(sK2765(X0,X1,X2),X4) = X2 => vEBT_Leaf(sK2765(X0,X1,X2),sK2766(X0,X1,X2)) = X2)),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33488,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool] : ((none(nat) = X0 | pp(X3)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(X3)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool] : vEBT_Leaf(X3,X4) = X2) | ~sP446(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33487])).
% 26.16/4.98 tff(f33487,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool] : ((none(nat) = X2 | pp(X5)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X2 | ~pp(X5)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : bool] : vEBT_Leaf(X5,X6) = X0) | ~sP446(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f28027])).
% 26.16/4.98 tff(f28027,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool] : ((none(nat) = X2 | pp(X5)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X2 | ~pp(X5)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : bool] : vEBT_Leaf(X5,X6) = X0) | ~sP446(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP446])])).
% 26.16/4.98 tff(f73365,plain,(
% 26.16/4.98 spl4009_1306),
% 26.16/4.98 inference(avatar_split_clause,[],[f62195,f73363])).
% 26.16/4.98 tff(f73363,plain,(
% 26.16/4.98 spl4009_1306 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP448(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1306])])).
% 26.16/4.98 tff(f62195,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP448(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f48225,f37568])).
% 26.16/4.98 tff(f48225,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP448(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33481])).
% 26.16/4.98 tff(f33481,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(sK2760(X2),sK2761(X2)) = X2) | ~sP448(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2760,sK2761])],[f33479,f33480])).
% 26.16/4.98 tff(f33480,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X2 => vEBT_Leaf(sK2760(X2),sK2761(X2)) = X2)),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33479,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((none(nat) = X0 & zero_zero(nat) = X1 & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X2) | ~sP448(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33478])).
% 26.16/4.98 tff(f33478,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : ((none(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP448(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f28029])).
% 26.16/4.98 tff(f28029,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : ((none(nat) = X2 & zero_zero(nat) = X1 & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP448(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP448])])).
% 26.16/4.98 tff(f73361,plain,(
% 26.16/4.98 spl4009_1305),
% 26.16/4.98 inference(avatar_split_clause,[],[f62187,f73359])).
% 26.16/4.98 tff(f73359,plain,(
% 26.16/4.98 spl4009_1305 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (one_one(nat) = X1 | ~sP439(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1305])])).
% 26.16/4.98 tff(f62187,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (one_one(nat) = X1 | ~sP439(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f62186,f57908])).
% 26.16/4.98 tff(f62186,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | ~sP439(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f48207,f37568])).
% 26.16/4.98 tff(f48207,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP439(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33460])).
% 26.16/4.98 tff(f33460,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2747(X0,X1,X2),sK2748(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)))) & (none(nat) = X0 | pp(sK2747(X0,X1,X2))) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(sK2747(X0,X1,X2))) & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK2747(X0,X1,X2),sK2748(X0,X1,X2)) = X2) | ~sP439(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2747,sK2748])],[f33458,f33459])).
% 26.16/4.98 tff(f33459,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),aa(nat,nat,suc,zero_zero(nat)))) & (none(nat) = X0 | pp(X3)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(X3)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2747(X0,X1,X2),sK2748(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)))) & (none(nat) = X0 | pp(sK2747(X0,X1,X2))) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(sK2747(X0,X1,X2))) & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK2747(X0,X1,X2),sK2748(X0,X1,X2)) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33458,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),aa(nat,nat,suc,zero_zero(nat)))) & (none(nat) = X0 | pp(X3)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X0 | ~pp(X3)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X3,X4) = X2) | ~sP439(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33457])).
% 26.16/4.98 tff(f33457,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool,X6 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X5,X6)),aa(nat,nat,suc,zero_zero(nat)))) & (none(nat) = X2 | pp(X5)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X2 | ~pp(X5)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X5,X6) = X0) | ~sP439(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f28019])).
% 26.16/4.98 tff(f28019,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool,X6 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X5,X6)),aa(nat,nat,suc,zero_zero(nat)))) & (none(nat) = X2 | pp(X5)) & (aa(nat,option(nat),some(nat),zero_zero(nat)) = X2 | ~pp(X5)) & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X5,X6) = X0) | ~sP439(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP439])])).
% 26.16/4.98 tff(f73357,plain,(
% 26.16/4.98 spl4009_1304),
% 26.16/4.98 inference(avatar_split_clause,[],[f62182,f73355])).
% 26.16/4.98 tff(f73355,plain,(
% 26.16/4.98 spl4009_1304 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP440(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1304])])).
% 26.16/4.98 tff(f62182,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP440(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f48203,f37568])).
% 26.16/4.98 tff(f48203,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP440(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33456])).
% 26.16/4.98 tff(f33456,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2745(X0,X1,X2),sK2746(X0,X1,X2))),zero_zero(nat))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(sK2745(X0,X1,X2),sK2746(X0,X1,X2)) = X2) | ~sP440(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2745,sK2746])],[f33454,f33455])).
% 26.16/4.98 tff(f33455,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2745(X0,X1,X2),sK2746(X0,X1,X2))),zero_zero(nat))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(sK2745(X0,X1,X2),sK2746(X0,X1,X2)) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33454,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & none(nat) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) | ~sP440(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33453])).
% 26.16/4.98 tff(f33453,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & none(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP440(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f28020])).
% 26.16/4.98 tff(f28020,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_pred_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & none(nat) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP440(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP440])])).
% 26.16/4.98 tff(f73353,plain,(
% 26.16/4.98 spl4009_1303),
% 26.16/4.98 inference(avatar_split_clause,[],[f62164,f73351])).
% 26.16/4.98 tff(f73351,plain,(
% 26.16/4.98 spl4009_1303 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP433(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1303])])).
% 26.16/4.98 tff(f62164,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP433(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f48182,f37568])).
% 26.16/4.98 tff(f48182,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP433(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33432])).
% 26.16/4.98 tff(f33432,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (((none(nat) = X0 | pp(sK2724(X0,X1,X2))) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(sK2724(X0,X1,X2))) & zero_zero(nat) = X1 & vEBT_Leaf(sK2723(X0,X1,X2),sK2724(X0,X1,X2)) = X2) | ~sP433(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2723,sK2724])],[f33430,f33431])).
% 26.16/4.98 tff(f33431,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : ((none(nat) = X0 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) => ((none(nat) = X0 | pp(sK2724(X0,X1,X2))) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(sK2724(X0,X1,X2))) & zero_zero(nat) = X1 & vEBT_Leaf(sK2723(X0,X1,X2),sK2724(X0,X1,X2)) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33430,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : ((none(nat) = X0 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) | ~sP433(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33429])).
% 26.16/4.98 tff(f33429,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : ((none(nat) = X2 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X2 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP433(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f28012])).
% 26.16/4.98 tff(f28012,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : ((none(nat) = X2 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X2 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP433(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP433])])).
% 26.16/4.98 tff(f73349,plain,(
% 26.16/4.98 spl4009_1302),
% 26.16/4.98 inference(avatar_split_clause,[],[f62153,f73347])).
% 26.16/4.98 tff(f73347,plain,(
% 26.16/4.98 spl4009_1302 <=> ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP428(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1302])])).
% 26.16/4.98 tff(f62153,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (size_num(one2) = X1 | ~sP428(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f48166,f37568])).
% 26.16/4.98 tff(f48166,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : option(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP428(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33412])).
% 26.16/4.98 tff(f33412,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2707(X0,X1,X2),sK2708(X0,X1,X2))),zero_zero(nat))) & (none(nat) = X0 | pp(sK2708(X0,X1,X2))) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(sK2708(X0,X1,X2))) & zero_zero(nat) = X1 & vEBT_Leaf(sK2707(X0,X1,X2),sK2708(X0,X1,X2)) = X2) | ~sP428(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2707,sK2708])],[f33410,f33411])).
% 26.16/4.98 tff(f33411,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & (none(nat) = X0 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2707(X0,X1,X2),sK2708(X0,X1,X2))),zero_zero(nat))) & (none(nat) = X0 | pp(sK2708(X0,X1,X2))) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(sK2708(X0,X1,X2))) & zero_zero(nat) = X1 & vEBT_Leaf(sK2707(X0,X1,X2),sK2708(X0,X1,X2)) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33410,plain,(
% 26.16/4.98 ! [X0 : option(nat),X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & (none(nat) = X0 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X0 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) | ~sP428(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33409])).
% 26.16/4.98 tff(f33409,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & (none(nat) = X2 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X2 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP428(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f28006])).
% 26.16/4.98 tff(f28006,plain,(
% 26.16/4.98 ! [X2 : option(nat),X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_succ_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & (none(nat) = X2 | pp(X4)) & (aa(nat,option(nat),some(nat),one_one(nat)) = X2 | ~pp(X4)) & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP428(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP428])])).
% 26.16/4.98 tff(f73345,plain,(
% 26.16/4.98 spl4009_1301),
% 26.16/4.98 inference(avatar_split_clause,[],[f62041,f73343])).
% 26.16/4.98 tff(f73343,plain,(
% 26.16/4.98 spl4009_1301 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP376(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1301])])).
% 26.16/4.98 tff(f62041,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP376(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f47935,f37568])).
% 26.16/4.98 tff(f47935,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP376(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33154])).
% 26.16/4.98 tff(f33154,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((vEBT_Leaf(fFalse,sK2606(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(sK2605(X0,X1,X2),sK2606(X0,X1,X2)) = X2) | ~sP376(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2605,sK2606])],[f33152,f33153])).
% 26.16/4.98 tff(f33153,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (vEBT_Leaf(fFalse,X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) => (vEBT_Leaf(fFalse,sK2606(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(sK2605(X0,X1,X2),sK2606(X0,X1,X2)) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33152,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (vEBT_Leaf(fFalse,X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) | ~sP376(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33151])).
% 26.16/4.98 tff(f33151,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (vEBT_Leaf(fFalse,X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP376(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27947])).
% 26.16/4.98 tff(f27947,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (vEBT_Leaf(fFalse,X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP376(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP376])])).
% 26.16/4.98 tff(f73341,plain,(
% 26.16/4.98 spl4009_1300),
% 26.16/4.98 inference(avatar_split_clause,[],[f62040,f73339])).
% 26.16/4.98 tff(f73339,plain,(
% 26.16/4.98 spl4009_1300 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (one_one(nat) = X1 | ~sP377(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1300])])).
% 26.16/4.98 tff(f62040,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (one_one(nat) = X1 | ~sP377(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f62039,f57908])).
% 26.16/4.98 tff(f62039,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | ~sP377(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f47932,f37568])).
% 26.16/4.98 tff(f47932,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP377(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33150])).
% 26.16/4.98 tff(f33150,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((vEBT_Leaf(sK2603(X0,X1,X2),fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK2603(X0,X1,X2),sK2604(X0,X1,X2)) = X2) | ~sP377(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2603,sK2604])],[f33147,f33149,f33148])).
% 26.16/4.98 tff(f33148,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool] : (vEBT_Leaf(X3,fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool] : vEBT_Leaf(X3,X4) = X2) => (vEBT_Leaf(sK2603(X0,X1,X2),fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool] : vEBT_Leaf(sK2603(X0,X1,X2),X4) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33149,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X4 : bool] : vEBT_Leaf(sK2603(X0,X1,X2),X4) = X2 => vEBT_Leaf(sK2603(X0,X1,X2),sK2604(X0,X1,X2)) = X2)),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33147,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool] : (vEBT_Leaf(X3,fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool] : vEBT_Leaf(X3,X4) = X2) | ~sP377(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33146])).
% 26.16/4.98 tff(f33146,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool] : (vEBT_Leaf(X5,fFalse) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : bool] : vEBT_Leaf(X5,X6) = X0) | ~sP377(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27948])).
% 26.16/4.98 tff(f27948,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool] : (vEBT_Leaf(X5,fFalse) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X6 : bool] : vEBT_Leaf(X5,X6) = X0) | ~sP377(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP377])])).
% 26.16/4.98 tff(f73337,plain,(
% 26.16/4.98 spl4009_1299),
% 26.16/4.98 inference(avatar_split_clause,[],[f62001,f73335])).
% 26.16/4.98 tff(f73335,plain,(
% 26.16/4.98 spl4009_1299 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP368(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1299])])).
% 26.16/4.98 tff(f62001,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP368(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f47915,f37568])).
% 26.16/4.98 tff(f47915,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP368(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33129])).
% 26.16/4.98 tff(f33129,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2591(X0,X1,X2),sK2592(X0,X1,X2))),zero_zero(nat))) & vEBT_Leaf(fFalse,sK2592(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(sK2591(X0,X1,X2),sK2592(X0,X1,X2)) = X2) | ~sP368(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2591,sK2592])],[f33127,f33128])).
% 26.16/4.98 tff(f33128,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & vEBT_Leaf(fFalse,X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2591(X0,X1,X2),sK2592(X0,X1,X2))),zero_zero(nat))) & vEBT_Leaf(fFalse,sK2592(X0,X1,X2)) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(sK2591(X0,X1,X2),sK2592(X0,X1,X2)) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33127,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & vEBT_Leaf(fFalse,X4) = X0 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X2) | ~sP368(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33126])).
% 26.16/4.98 tff(f33126,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & vEBT_Leaf(fFalse,X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP368(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27938])).
% 26.16/4.98 tff(f27938,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),zero_zero(nat))) & vEBT_Leaf(fFalse,X4) = X2 & zero_zero(nat) = X1 & vEBT_Leaf(X3,X4) = X0) | ~sP368(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP368])])).
% 26.16/4.98 tff(f73333,plain,(
% 26.16/4.98 spl4009_1298),
% 26.16/4.98 inference(avatar_split_clause,[],[f61999,f73331])).
% 26.16/4.98 tff(f73331,plain,(
% 26.16/4.98 spl4009_1298 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (one_one(nat) = X1 | ~sP369(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1298])])).
% 26.16/4.98 tff(f61999,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (one_one(nat) = X1 | ~sP369(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f61998,f57908])).
% 26.16/4.98 tff(f61998,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,size_num(one2)) = X1 | ~sP369(X0,X1,X2)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f47911,f37568])).
% 26.16/4.98 tff(f47911,plain,(
% 26.16/4.98 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : nat] : (aa(nat,nat,suc,zero_zero(nat)) = X1 | ~sP369(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f33125])).
% 26.16/4.98 tff(f33125,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2589(X0,X1,X2),sK2590(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)))) & vEBT_Leaf(sK2589(X0,X1,X2),fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK2589(X0,X1,X2),sK2590(X0,X1,X2)) = X2) | ~sP369(X0,X1,X2))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2589,sK2590])],[f33123,f33124])).
% 26.16/4.98 tff(f33124,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),aa(nat,nat,suc,zero_zero(nat)))) & vEBT_Leaf(X3,fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X3,X4) = X2) => (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2589(X0,X1,X2),sK2590(X0,X1,X2))),aa(nat,nat,suc,zero_zero(nat)))) & vEBT_Leaf(sK2589(X0,X1,X2),fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK2589(X0,X1,X2),sK2590(X0,X1,X2)) = X2))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f33123,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat,X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),aa(nat,nat,suc,zero_zero(nat)))) & vEBT_Leaf(X3,fFalse) = X0 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X3,X4) = X2) | ~sP369(X0,X1,X2))),
% 26.16/4.98 inference(rectify,[],[f33122])).
% 26.16/4.98 tff(f33122,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool,X6 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X5,X6)),aa(nat,nat,suc,zero_zero(nat)))) & vEBT_Leaf(X5,fFalse) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X5,X6) = X0) | ~sP369(X2,X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27939])).
% 26.16/4.98 tff(f27939,plain,(
% 26.16/4.98 ! [X2 : vEBT_VEBT,X1 : nat,X0 : vEBT_VEBT] : (? [X5 : bool,X6 : bool] : (accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_delete_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X5,X6)),aa(nat,nat,suc,zero_zero(nat)))) & vEBT_Leaf(X5,fFalse) = X2 & aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(X5,X6) = X0) | ~sP369(X2,X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP369])])).
% 26.16/4.98 tff(f73329,plain,(
% 26.16/4.98 spl4009_1297),
% 26.16/4.98 inference(avatar_split_clause,[],[f61669,f73327])).
% 26.16/4.98 tff(f73327,plain,(
% 26.16/4.98 spl4009_1297 <=> ! [X0 : $tType,X2 : fun(nat,X0),X1 : X0] : case_nat(X0,X1,X2,size_num(one2)) = X1),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1297])])).
% 26.16/4.98 tff(f61669,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : X0] : (case_nat(X0,X1,X2,size_num(one2)) = X1) )),
% 26.16/4.98 inference(forward_demodulation,[],[f47200,f37568])).
% 26.16/4.98 tff(f47200,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : fun(nat,X0),X1 : X0] : (case_nat(X0,X1,X2,zero_zero(nat)) = X1) )),
% 26.16/4.98 inference(cnf_transformation,[],[f15491])).
% 26.16/4.98 tff(f15491,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : X0,X2 : fun(nat,X0)] : case_nat(X0,X1,X2,zero_zero(nat)) = X1),
% 26.16/4.98 inference(rectify,[],[f3876])).
% 26.16/4.98 tff(f3876,axiom,(
% 26.16/4.98 ! [X0 : $tType,X59 : X0,X265 : fun(nat,X0)] : case_nat(X0,X59,X265,zero_zero(nat)) = X59),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3875_old_Onat_Osimps_I4_J)).
% 26.16/4.98 tff(f73325,plain,(
% 26.16/4.98 spl4009_1296),
% 26.16/4.98 inference(avatar_split_clause,[],[f61259,f73323])).
% 26.16/4.98 tff(f73323,plain,(
% 26.16/4.98 spl4009_1296 <=> ! [X0 : nat] : nil(nat) = upt(X0,size_num(one2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1296])])).
% 26.16/4.98 tff(f61259,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (nil(nat) = upt(X0,size_num(one2))) )),
% 26.16/4.98 inference(forward_demodulation,[],[f56945,f37568])).
% 26.16/4.98 tff(f56945,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (nil(nat) = upt(X0,zero_zero(nat))) )),
% 26.16/4.98 inference(equality_resolution,[],[f46720])).
% 26.16/4.98 tff(f46720,plain,(
% 26.16/4.98 ( ! [X0 : nat,X1 : nat] : (nil(nat) = upt(X0,X1) | zero_zero(nat) != X1) )),
% 26.16/4.98 inference(cnf_transformation,[],[f32514])).
% 26.16/4.98 tff(f32514,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : nat] : ((nil(nat) = upt(X0,X1) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X0)) & zero_zero(nat) != X1)) & (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X0)) | zero_zero(nat) = X1 | nil(nat) != upt(X0,X1)))),
% 26.16/4.98 inference(flattening,[],[f32513])).
% 26.16/4.98 tff(f32513,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : nat] : ((nil(nat) = upt(X0,X1) | (~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X0)) & zero_zero(nat) != X1)) & ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X0)) | zero_zero(nat) = X1) | nil(nat) != upt(X0,X1)))),
% 26.16/4.98 inference(nnf_transformation,[],[f15290])).
% 26.16/4.98 tff(f15290,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : nat] : (nil(nat) = upt(X0,X1) <=> (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X0)) | zero_zero(nat) = X1))),
% 26.16/4.98 inference(rectify,[],[f6140])).
% 26.16/4.98 tff(f6140,axiom,(
% 26.16/4.98 ! [X93 : nat,X94 : nat] : (nil(nat) = upt(X93,X94) <=> (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X94),X93)) | zero_zero(nat) = X94))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6139_upt__eq__Nil__conv)).
% 26.16/4.98 tff(f73321,plain,(
% 26.16/4.98 spl4009_1295),
% 26.16/4.98 inference(avatar_split_clause,[],[f61072,f73319])).
% 26.16/4.98 tff(f73319,plain,(
% 26.16/4.98 spl4009_1295 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP300(X0,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1295])])).
% 26.16/4.98 tff(f61072,plain,(
% 26.16/4.98 ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP300(X0,X1)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f46412,f57904])).
% 26.16/4.98 tff(f57904,plain,(
% 26.16/4.98 vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(size_num(one2))),
% 26.16/4.98 inference(forward_demodulation,[],[f37582,f37568])).
% 26.16/4.98 tff(f37582,plain,(
% 26.16/4.98 vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero(nat))),
% 26.16/4.98 inference(cnf_transformation,[],[f1349])).
% 26.16/4.98 tff(f1349,axiom,(
% 26.16/4.98 vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(zero_zero(nat))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1348_vebt__buildup_Osimps_I1_J)).
% 26.16/4.98 tff(f46412,plain,(
% 26.16/4.98 ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fFalse,fFalse) = X1 | ~sP300(X0,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f32171])).
% 26.16/4.98 tff(f32171,plain,(
% 26.16/4.98 ! [X0 : bool,X1 : vEBT_VEBT] : ((pp(X0) & vEBT_Leaf(fFalse,fFalse) = X1) | ~sP300(X0,X1))),
% 26.16/4.98 inference(rectify,[],[f32170])).
% 26.16/4.98 tff(f32170,plain,(
% 26.16/4.98 ! [X1 : bool,X0 : vEBT_VEBT] : ((pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP300(X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27842])).
% 26.16/4.98 tff(f27842,plain,(
% 26.16/4.98 ! [X1 : bool,X0 : vEBT_VEBT] : ((pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP300(X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP300])])).
% 26.16/4.98 tff(f73317,plain,(
% 26.16/4.98 spl4009_1294),
% 26.16/4.98 inference(avatar_split_clause,[],[f61071,f73315])).
% 26.16/4.98 tff(f73315,plain,(
% 26.16/4.98 spl4009_1294 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP294(X0,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1294])])).
% 26.16/4.98 tff(f61071,plain,(
% 26.16/4.98 ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_vebt_buildup(size_num(one2)) = X1 | ~sP294(X0,X1)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f46403,f57904])).
% 26.16/4.98 tff(f46403,plain,(
% 26.16/4.98 ( ! [X0 : bool,X1 : vEBT_VEBT] : (vEBT_Leaf(fFalse,fFalse) = X1 | ~sP294(X0,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f32160])).
% 26.16/4.98 tff(f32160,plain,(
% 26.16/4.98 ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fFalse,fFalse)) & pp(X0) & vEBT_Leaf(fFalse,fFalse) = X1) | ~sP294(X0,X1))),
% 26.16/4.98 inference(rectify,[],[f32159])).
% 26.16/4.98 tff(f32159,plain,(
% 26.16/4.98 ! [X1 : bool,X0 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fFalse,fFalse)) & pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP294(X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27835])).
% 26.16/4.98 tff(f27835,plain,(
% 26.16/4.98 ! [X1 : bool,X0 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fFalse,fFalse)) & pp(X1) & vEBT_Leaf(fFalse,fFalse) = X0) | ~sP294(X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP294])])).
% 26.16/4.98 tff(f73313,plain,(
% 26.16/4.98 spl4009_1292 | spl4009_1293),
% 26.16/4.98 inference(avatar_split_clause,[],[f60574,f73310,f73307])).
% 26.16/4.98 tff(f73307,plain,(
% 26.16/4.98 spl4009_1292 <=> ! [X0 : list(nat),X1 : nat] : ~sP277(X0,X1)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1292])])).
% 26.16/4.98 tff(f73310,plain,(
% 26.16/4.98 spl4009_1293 <=> accp(nat,nat_list_decode_rel,size_num(one2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1293])])).
% 26.16/4.98 tff(f60574,plain,(
% 26.16/4.98 ( ! [X0 : list(nat),X1 : nat] : (accp(nat,nat_list_decode_rel,size_num(one2)) | ~sP277(X0,X1)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f45790,f37568])).
% 26.16/4.98 tff(f45790,plain,(
% 26.16/4.98 ( ! [X0 : list(nat),X1 : nat] : (accp(nat,nat_list_decode_rel,zero_zero(nat)) | ~sP277(X0,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f31848])).
% 26.16/4.98 tff(f31848,plain,(
% 26.16/4.98 ! [X0 : list(nat),X1 : nat] : ((accp(nat,nat_list_decode_rel,zero_zero(nat)) & nil(nat) = X0 & zero_zero(nat) = X1) | ~sP277(X0,X1))),
% 26.16/4.98 inference(rectify,[],[f31847])).
% 26.16/4.98 tff(f31847,plain,(
% 26.16/4.98 ! [X1 : list(nat),X0 : nat] : ((accp(nat,nat_list_decode_rel,zero_zero(nat)) & nil(nat) = X1 & zero_zero(nat) = X0) | ~sP277(X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27807])).
% 26.16/4.98 tff(f27807,plain,(
% 26.16/4.98 ! [X1 : list(nat),X0 : nat] : ((accp(nat,nat_list_decode_rel,zero_zero(nat)) & nil(nat) = X1 & zero_zero(nat) = X0) | ~sP277(X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP277])])).
% 26.16/4.98 tff(f73305,plain,(
% 26.16/4.98 spl4009_1291 | ~spl4009_114 | ~spl4009_786),
% 26.16/4.98 inference(avatar_split_clause,[],[f71180,f70878,f67596,f73302])).
% 26.16/4.98 tff(f73302,plain,(
% 26.16/4.98 spl4009_1291 <=> sP86(real)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1291])])).
% 26.16/4.98 tff(f70878,plain,(
% 26.16/4.98 spl4009_786 <=> ! [X0 : $tType] : (sP86(X0) | ~division_ring(X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_786])])).
% 26.16/4.98 tff(f71180,plain,(
% 26.16/4.98 sP86(real) | (~spl4009_114 | ~spl4009_786)),
% 26.16/4.98 inference(resolution,[],[f70879,f67598])).
% 26.16/4.98 tff(f70879,plain,(
% 26.16/4.98 ( ! [X0 : $tType] : (~division_ring(X0) | sP86(X0)) ) | ~spl4009_786),
% 26.16/4.98 inference(avatar_component_clause,[],[f70878])).
% 26.16/4.98 tff(f73300,plain,(
% 26.16/4.98 spl4009_1290),
% 26.16/4.98 inference(avatar_split_clause,[],[f60392,f73298])).
% 26.16/4.98 tff(f73298,plain,(
% 26.16/4.98 spl4009_1290 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(size_num(one2)) = X0 | ~sP248(X0,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1290])])).
% 26.16/4.98 tff(f60392,plain,(
% 26.16/4.98 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_vebt_buildup(size_num(one2)) = X0 | ~sP248(X0,X1)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f45562,f57904])).
% 26.16/4.98 tff(f45562,plain,(
% 26.16/4.98 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_Leaf(fFalse,fFalse) = X0 | ~sP248(X0,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f31663])).
% 26.16/4.98 tff(f31663,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X0 & zero_zero(nat) = X1) | ~sP248(X0,X1))),
% 26.16/4.98 inference(rectify,[],[f31662])).
% 26.16/4.98 tff(f31662,plain,(
% 26.16/4.98 ! [X1 : vEBT_VEBT,X0 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0) | ~sP248(X1,X0))),
% 26.16/4.98 inference(nnf_transformation,[],[f27762])).
% 26.16/4.98 tff(f27762,plain,(
% 26.16/4.98 ! [X1 : vEBT_VEBT,X0 : nat] : ((accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) & vEBT_Leaf(fFalse,fFalse) = X1 & zero_zero(nat) = X0) | ~sP248(X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP248])])).
% 26.16/4.98 tff(f73296,plain,(
% 26.16/4.98 spl4009_1288 | spl4009_1289),
% 26.16/4.98 inference(avatar_split_clause,[],[f60391,f73293,f73290])).
% 26.16/4.98 tff(f73290,plain,(
% 26.16/4.98 spl4009_1288 <=> ! [X0 : vEBT_VEBT,X1 : nat] : ~sP248(X0,X1)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1288])])).
% 26.16/4.98 tff(f73293,plain,(
% 26.16/4.98 spl4009_1289 <=> accp(nat,vEBT_v4011308405150292612up_rel,size_num(one2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1289])])).
% 26.16/4.98 tff(f60391,plain,(
% 26.16/4.98 ( ! [X0 : vEBT_VEBT,X1 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,size_num(one2)) | ~sP248(X0,X1)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f45563,f37568])).
% 26.16/4.98 tff(f45563,plain,(
% 26.16/4.98 ( ! [X0 : vEBT_VEBT,X1 : nat] : (accp(nat,vEBT_v4011308405150292612up_rel,zero_zero(nat)) | ~sP248(X0,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f31663])).
% 26.16/4.98 tff(f73288,plain,(
% 26.16/4.98 spl4009_1287),
% 26.16/4.98 inference(avatar_split_clause,[],[f60061,f73286])).
% 26.16/4.98 tff(f73286,plain,(
% 26.16/4.98 spl4009_1287 <=> ! [X1 : nat] : size_num(one2) = bit_se5824344872417868541ns_and(nat,size_num(one2),X1)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1287])])).
% 26.16/4.98 tff(f60061,plain,(
% 26.16/4.98 ( ! [X1 : nat] : (size_num(one2) = bit_se5824344872417868541ns_and(nat,size_num(one2),X1)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f56763,f37568])).
% 26.16/4.98 tff(f56763,plain,(
% 26.16/4.98 ( ! [X1 : nat] : (zero_zero(nat) = bit_se5824344872417868541ns_and(nat,zero_zero(nat),X1)) )),
% 26.16/4.98 inference(equality_resolution,[],[f44656])).
% 26.16/4.98 tff(f44656,plain,(
% 26.16/4.98 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = bit_se5824344872417868541ns_and(nat,X0,X1) | zero_zero(nat) != X0) )),
% 26.16/4.98 inference(cnf_transformation,[],[f23209])).
% 26.16/4.98 tff(f23209,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : 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),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(nat,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | zero_zero(nat) = X1 | zero_zero(nat) = X0) & (zero_zero(nat) = bit_se5824344872417868541ns_and(nat,X0,X1) | (zero_zero(nat) != X1 & zero_zero(nat) != X0)))),
% 26.16/4.98 inference(flattening,[],[f23208])).
% 26.16/4.98 tff(f23208,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : 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),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(nat,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | (zero_zero(nat) = X1 | zero_zero(nat) = X0)) & (zero_zero(nat) = bit_se5824344872417868541ns_and(nat,X0,X1) | (zero_zero(nat) != X1 & zero_zero(nat) != X0)))),
% 26.16/4.98 inference(ennf_transformation,[],[f14314])).
% 26.16/4.98 tff(f14314,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : nat] : ((~(zero_zero(nat) = X1 | zero_zero(nat) = X0) => 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),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(nat,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & ((zero_zero(nat) = X1 | zero_zero(nat) = X0) => zero_zero(nat) = bit_se5824344872417868541ns_and(nat,X0,X1)))),
% 26.16/4.98 inference(rectify,[],[f2472])).
% 26.16/4.98 tff(f2472,axiom,(
% 26.16/4.98 ! [X82 : nat,X35 : nat] : ((~(zero_zero(nat) = X35 | zero_zero(nat) = X82) => bit_se5824344872417868541ns_and(nat,X82,X35) = 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,X82,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X35,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(nat,divide_divide(nat,X82,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X35,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & ((zero_zero(nat) = X35 | zero_zero(nat) = X82) => zero_zero(nat) = bit_se5824344872417868541ns_and(nat,X82,X35)))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2471_and__nat__unfold)).
% 26.16/4.98 tff(f73284,plain,(
% 26.16/4.98 spl4009_1286),
% 26.16/4.98 inference(avatar_split_clause,[],[f60060,f73282])).
% 26.16/4.98 tff(f73282,plain,(
% 26.16/4.98 spl4009_1286 <=> ! [X0 : nat] : size_num(one2) = bit_se5824344872417868541ns_and(nat,X0,size_num(one2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1286])])).
% 26.16/4.98 tff(f60060,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (size_num(one2) = bit_se5824344872417868541ns_and(nat,X0,size_num(one2))) )),
% 26.16/4.98 inference(forward_demodulation,[],[f56762,f37568])).
% 26.16/4.98 tff(f56762,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (zero_zero(nat) = bit_se5824344872417868541ns_and(nat,X0,zero_zero(nat))) )),
% 26.16/4.98 inference(equality_resolution,[],[f44657])).
% 26.16/4.98 tff(f44657,plain,(
% 26.16/4.98 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = bit_se5824344872417868541ns_and(nat,X0,X1) | zero_zero(nat) != X1) )),
% 26.16/4.98 inference(cnf_transformation,[],[f23209])).
% 26.16/4.98 tff(f73280,plain,(
% 26.16/4.98 spl4009_1285),
% 26.16/4.98 inference(avatar_split_clause,[],[f59989,f73278])).
% 26.16/4.98 tff(f73278,plain,(
% 26.16/4.98 spl4009_1285 <=> ! [X1 : nat] : size_num(one2) = divide_divide(nat,X1,size_num(one2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1285])])).
% 26.16/4.98 tff(f59989,plain,(
% 26.16/4.98 ( ! [X1 : nat] : (size_num(one2) = divide_divide(nat,X1,size_num(one2))) )),
% 26.16/4.98 inference(forward_demodulation,[],[f56748,f37568])).
% 26.16/4.98 tff(f56748,plain,(
% 26.16/4.98 ( ! [X1 : nat] : (zero_zero(nat) = divide_divide(nat,X1,zero_zero(nat))) )),
% 26.16/4.98 inference(equality_resolution,[],[f44598])).
% 26.16/4.98 tff(f44598,plain,(
% 26.16/4.98 ( ! [X0 : nat,X1 : nat] : (zero_zero(nat) = divide_divide(nat,X1,X0) | zero_zero(nat) != X0) )),
% 26.16/4.98 inference(cnf_transformation,[],[f23182])).
% 26.16/4.98 tff(f23182,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : nat] : ((divide_divide(nat,X1,X0) = aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,bool),set(nat),collect(nat),aa(nat,fun(nat,bool),aTP_Lamp_uo(nat,fun(nat,fun(nat,bool)),X0),X1))) | zero_zero(nat) = X0) & (zero_zero(nat) = divide_divide(nat,X1,X0) | zero_zero(nat) != X0))),
% 26.16/4.98 inference(ennf_transformation,[],[f14290])).
% 26.16/4.98 tff(f14290,plain,(
% 26.16/4.98 ! [X0 : nat,X1 : nat] : ((zero_zero(nat) != X0 => divide_divide(nat,X1,X0) = aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,bool),set(nat),collect(nat),aa(nat,fun(nat,bool),aTP_Lamp_uo(nat,fun(nat,fun(nat,bool)),X0),X1)))) & (zero_zero(nat) = X0 => zero_zero(nat) = divide_divide(nat,X1,X0)))),
% 26.16/4.98 inference(rectify,[],[f5255])).
% 26.16/4.98 tff(f5255,axiom,(
% 26.16/4.98 ! [X35 : nat,X82 : nat] : ((zero_zero(nat) != X35 => divide_divide(nat,X82,X35) = aa(set(nat),nat,lattic643756798349783984er_Max(nat),aa(fun(nat,bool),set(nat),collect(nat),aa(nat,fun(nat,bool),aTP_Lamp_uo(nat,fun(nat,fun(nat,bool)),X35),X82)))) & (zero_zero(nat) = X35 => divide_divide(nat,X82,X35) = zero_zero(nat)))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5254_divide__nat__def)).
% 26.16/4.98 tff(f73276,plain,(
% 26.16/4.98 spl4009_1284),
% 26.16/4.98 inference(avatar_split_clause,[],[f58034,f73274])).
% 26.16/4.98 tff(f73274,plain,(
% 26.16/4.98 spl4009_1284 <=> ! [X0 : nat] : size_num(one2) = modulo_modulo(nat,X0,one_one(nat))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1284])])).
% 26.16/4.98 tff(f58034,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (size_num(one2) = modulo_modulo(nat,X0,one_one(nat))) )),
% 26.16/4.98 inference(forward_demodulation,[],[f58033,f57908])).
% 26.16/4.98 tff(f58033,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (size_num(one2) = modulo_modulo(nat,X0,aa(nat,nat,suc,size_num(one2)))) )),
% 26.16/4.98 inference(forward_demodulation,[],[f37911,f37568])).
% 26.16/4.98 tff(f37911,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (zero_zero(nat) = modulo_modulo(nat,X0,aa(nat,nat,suc,zero_zero(nat)))) )),
% 26.16/4.98 inference(cnf_transformation,[],[f10036])).
% 26.16/4.98 tff(f10036,plain,(
% 26.16/4.98 ! [X0 : nat] : zero_zero(nat) = modulo_modulo(nat,X0,aa(nat,nat,suc,zero_zero(nat)))),
% 26.16/4.98 inference(rectify,[],[f1593])).
% 26.16/4.98 tff(f1593,axiom,(
% 26.16/4.98 ! [X82 : nat] : zero_zero(nat) = modulo_modulo(nat,X82,aa(nat,nat,suc,zero_zero(nat)))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1592_mod__by__Suc__0)).
% 26.16/4.98 tff(f73272,plain,(
% 26.16/4.98 spl4009_1283),
% 26.16/4.98 inference(avatar_split_clause,[],[f58020,f73270])).
% 26.16/4.98 tff(f73270,plain,(
% 26.16/4.98 spl4009_1283 <=> ! [X0 : nat] : size_num(one2) != aa(nat,nat,suc,X0)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1283])])).
% 26.16/4.98 tff(f58020,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (size_num(one2) != aa(nat,nat,suc,X0)) )),
% 26.16/4.98 inference(forward_demodulation,[],[f37864,f37568])).
% 26.16/4.98 tff(f37864,plain,(
% 26.16/4.98 ( ! [X0 : nat] : (zero_zero(nat) != aa(nat,nat,suc,X0)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f10003])).
% 26.16/4.98 tff(f10003,plain,(
% 26.16/4.98 ! [X0 : nat] : zero_zero(nat) != aa(nat,nat,suc,X0)),
% 26.16/4.98 inference(rectify,[],[f1082])).
% 26.16/4.98 tff(f1082,axiom,(
% 26.16/4.98 ! [X82 : nat] : aa(nat,nat,suc,X82) != zero_zero(nat)),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1081_Zero__neq__Suc)).
% 26.16/4.98 tff(f73268,plain,(
% 26.16/4.98 spl4009_1282),
% 26.16/4.98 inference(avatar_split_clause,[],[f57927,f73265])).
% 26.16/4.98 tff(f73265,plain,(
% 26.16/4.98 spl4009_1282 <=> the(real,aTP_Lamp_ig(real,bool)) = arg(imaginary_unit)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1282])])).
% 26.16/4.98 tff(f57927,plain,(
% 26.16/4.98 the(real,aTP_Lamp_ig(real,bool)) = arg(imaginary_unit)),
% 26.16/4.98 inference(forward_demodulation,[],[f37631,f37622])).
% 26.16/4.98 tff(f37622,plain,(
% 26.16/4.98 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit)),
% 26.16/4.98 inference(cnf_transformation,[],[f3611])).
% 26.16/4.98 tff(f3611,axiom,(
% 26.16/4.98 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = arg(imaginary_unit)),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3610_Arg__ii)).
% 26.16/4.98 tff(f37631,plain,(
% 26.16/4.98 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_ig(real,bool))),
% 26.16/4.98 inference(cnf_transformation,[],[f3522])).
% 26.16/4.98 tff(f3522,axiom,(
% 26.16/4.98 divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))) = the(real,aTP_Lamp_ig(real,bool))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3521_pi__half)).
% 26.16/4.98 tff(f73263,plain,(
% 26.16/4.98 spl4009_1281),
% 26.16/4.98 inference(avatar_split_clause,[],[f57905,f73260])).
% 26.16/4.98 tff(f73260,plain,(
% 26.16/4.98 spl4009_1281 <=> one_one(code_integer) = aa(num,code_integer,code_positive,one2)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1281])])).
% 26.16/4.98 tff(f57905,plain,(
% 26.16/4.98 one_one(code_integer) = aa(num,code_integer,code_positive,one2)),
% 26.16/4.98 inference(forward_demodulation,[],[f37584,f57903])).
% 26.16/4.98 tff(f57903,plain,(
% 26.16/4.98 code_positive = code_integer_of_num),
% 26.16/4.98 inference(forward_demodulation,[],[f37575,f37574])).
% 26.16/4.98 tff(f37574,plain,(
% 26.16/4.98 numeral_numeral(code_integer) = code_positive),
% 26.16/4.98 inference(cnf_transformation,[],[f3950])).
% 26.16/4.98 tff(f3950,axiom,(
% 26.16/4.98 numeral_numeral(code_integer) = code_positive),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3949_Code__Numeral_Opositive__def)).
% 26.16/4.98 tff(f37575,plain,(
% 26.16/4.98 numeral_numeral(code_integer) = code_integer_of_num),
% 26.16/4.98 inference(cnf_transformation,[],[f4484])).
% 26.16/4.98 tff(f4484,axiom,(
% 26.16/4.98 numeral_numeral(code_integer) = code_integer_of_num),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4483_integer__of__num__def)).
% 26.16/4.98 tff(f37584,plain,(
% 26.16/4.98 one_one(code_integer) = aa(num,code_integer,code_integer_of_num,one2)),
% 26.16/4.98 inference(cnf_transformation,[],[f4510])).
% 26.16/4.98 tff(f4510,axiom,(
% 26.16/4.98 one_one(code_integer) = aa(num,code_integer,code_integer_of_num,one2)),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4509_integer__of__num__triv_I1_J)).
% 26.16/4.98 tff(f73258,plain,(
% 26.16/4.98 spl4009_1280 | ~spl4009_113 | ~spl4009_786),
% 26.16/4.98 inference(avatar_split_clause,[],[f71179,f70878,f67591,f73255])).
% 26.16/4.98 tff(f73255,plain,(
% 26.16/4.98 spl4009_1280 <=> sP86(rat)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1280])])).
% 26.16/4.98 tff(f71179,plain,(
% 26.16/4.98 sP86(rat) | (~spl4009_113 | ~spl4009_786)),
% 26.16/4.98 inference(resolution,[],[f70879,f67593])).
% 26.16/4.98 tff(f73253,plain,(
% 26.16/4.98 spl4009_1279),
% 26.16/4.98 inference(avatar_split_clause,[],[f57772,f73251])).
% 26.16/4.98 tff(f73251,plain,(
% 26.16/4.98 spl4009_1279 <=> ! [X1 : $tType,X4 : $tType,X5 : X4,X6 : X1,X3 : fun(X4,option(X1))] : sP677(X1,X4,X6,X5,X3,X5,X6)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1279])])).
% 26.16/4.98 tff(f57772,plain,(
% 26.16/4.98 ( ! [X4 : $tType,X1 : $tType,X3 : fun(X4,option(X1)),X6 : X1,X5 : X4] : (sP677(X1,X4,X6,X5,X3,X5,X6)) )),
% 26.16/4.98 inference(equality_resolution,[],[f57771])).
% 26.16/4.98 tff(f57771,plain,(
% 26.16/4.98 ( ! [X4 : $tType,X1 : $tType,X2 : X4,X3 : fun(X4,option(X1)),X6 : X1,X5 : X4] : (sP677(X1,X4,X6,X2,X3,X5,X6) | X2 != X5) )),
% 26.16/4.98 inference(equality_resolution,[],[f53679])).
% 26.16/4.98 tff(f53679,plain,(
% 26.16/4.98 ( ! [X4 : $tType,X1 : $tType,X2 : X4,X3 : fun(X4,option(X1)),X0 : X1,X6 : X1,X5 : X4] : (sP677(X1,X4,X0,X2,X3,X5,X6) | X0 != X6 | X2 != X5) )),
% 26.16/4.98 inference(cnf_transformation,[],[f36753])).
% 26.16/4.98 tff(f36753,plain,(
% 26.16/4.98 ! [X0 : X1,X1 : $tType,X2 : X4,X3 : fun(X4,option(X1)),X4 : $tType,X5 : X4,X6 : X1] : ((sP677(X1,X4,X0,X2,X3,X5,X6) | ((aa(X4,option(X1),X3,X2) != aa(X1,option(X1),some(X1),X0) | X2 = X5) & (X0 != X6 | X2 != X5))) & ((aa(X4,option(X1),X3,X2) = aa(X1,option(X1),some(X1),X0) & X2 != X5) | (X0 = X6 & X2 = X5) | ~sP677(X1,X4,X0,X2,X3,X5,X6)))),
% 26.16/4.98 inference(rectify,[],[f36752])).
% 26.16/4.98 tff(f36752,plain,(
% 26.16/4.98 ! [X6 : X1,X1 : $tType,X5 : X0,X2 : fun(X0,option(X1)),X0 : $tType,X3 : X0,X4 : X1] : ((sP677(X1,X0,X6,X5,X2,X3,X4) | ((aa(X0,option(X1),X2,X5) != aa(X1,option(X1),some(X1),X6) | X3 = X5) & (X4 != X6 | X3 != X5))) & ((aa(X0,option(X1),X2,X5) = aa(X1,option(X1),some(X1),X6) & X3 != X5) | (X4 = X6 & X3 = X5) | ~sP677(X1,X0,X6,X5,X2,X3,X4)))),
% 26.16/4.98 inference(flattening,[],[f36751])).
% 26.16/4.98 tff(f36751,plain,(
% 26.16/4.98 ! [X6 : X1,X1 : $tType,X5 : X0,X2 : fun(X0,option(X1)),X0 : $tType,X3 : X0,X4 : X1] : ((sP677(X1,X0,X6,X5,X2,X3,X4) | ((aa(X0,option(X1),X2,X5) != aa(X1,option(X1),some(X1),X6) | X3 = X5) & (X4 != X6 | X3 != X5))) & (((aa(X0,option(X1),X2,X5) = aa(X1,option(X1),some(X1),X6) & X3 != X5) | (X4 = X6 & X3 = X5)) | ~sP677(X1,X0,X6,X5,X2,X3,X4)))),
% 26.16/4.98 inference(nnf_transformation,[],[f28413])).
% 26.16/4.98 tff(f28413,plain,(
% 26.16/4.98 ! [X6 : X1,X1 : $tType,X5 : X0,X2 : fun(X0,option(X1)),X0 : $tType,X3 : X0,X4 : X1] : (sP677(X1,X0,X6,X5,X2,X3,X4) <=> ((aa(X0,option(X1),X2,X5) = aa(X1,option(X1),some(X1),X6) & X3 != X5) | (X4 = X6 & X3 = X5)))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP677])])).
% 26.16/4.98 tff(f73249,plain,(
% 26.16/4.98 spl4009_1278),
% 26.16/4.98 inference(avatar_split_clause,[],[f56790,f73247])).
% 26.16/4.98 tff(f73247,plain,(
% 26.16/4.98 spl4009_1278 <=> ! [X0 : vEBT_VEBT] : (sP222(one_one(nat),X0) | vEBT_VEBT_valid(X0,one_one(nat)))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1278])])).
% 26.16/4.98 tff(f56790,plain,(
% 26.16/4.98 ( ! [X0 : vEBT_VEBT] : (sP222(one_one(nat),X0) | vEBT_VEBT_valid(X0,one_one(nat))) )),
% 26.16/4.98 inference(equality_resolution,[],[f45379])).
% 26.16/4.98 tff(f45379,plain,(
% 26.16/4.98 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP222(X1,X0) | one_one(nat) != X1 | vEBT_VEBT_valid(X0,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f31522])).
% 26.16/4.98 tff(f31522,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat] : (sP222(X1,X0) | (one_one(nat) != X1 & vEBT_Leaf(sK1801(X0),sK1802(X0)) = X0) | vEBT_VEBT_valid(X0,X1))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1801,sK1802])],[f27727,f31521])).
% 26.16/4.98 tff(f31521,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0 => vEBT_Leaf(sK1801(X0),sK1802(X0)) = X0)),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f27727,plain,(
% 26.16/4.98 ! [X0 : vEBT_VEBT,X1 : nat] : (sP222(X1,X0) | (one_one(nat) != X1 & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X0) | vEBT_VEBT_valid(X0,X1))),
% 26.16/4.98 inference(definition_folding,[],[f23731,f27726])).
% 26.16/4.98 tff(f27726,plain,(
% 26.16/4.98 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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) | ~sP222(X1,X0))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP222])])).
% 26.16/4.98 tff(f23731,plain,(
% 26.16/4.98 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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))),
% 26.16/4.98 inference(flattening,[],[f23730])).
% 26.16/4.98 tff(f23730,plain,(
% 26.16/4.98 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) | ? [X8 : vEBT_VEBT] : (~vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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))),
% 26.16/4.98 inference(ennf_transformation,[],[f14705])).
% 26.16/4.98 tff(f14705,plain,(
% 26.16/4.98 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))) & X1 = X5))))),
% 26.16/4.98 inference(rectify,[],[f5352])).
% 26.16/4.98 tff(f5352,axiom,(
% 26.16/4.98 ! [X25 : vEBT_VEBT,X113 : nat] : (~vEBT_VEBT_valid(X25,X113) => ((? [X86 : bool,X87 : bool] : vEBT_Leaf(X86,X87) = X25 => one_one(nat) = X113) => ~! [X376 : option(product_prod(nat,nat)),X179 : nat,X74 : list(vEBT_VEBT),X176 : vEBT_VEBT] : (vEBT_Node(X376,X179,X74,X176) = X25 => (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,X176))),aa(fun(vEBT_VEBT,bool),bool,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),X74))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),X179),X74),X176)),X376)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X74) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X179),divide_divide(nat,X179,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & vEBT_VEBT_valid(X176,aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X179),divide_divide(nat,X179,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & ! [X52 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X52),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X74))) => vEBT_VEBT_valid(X52,divide_divide(nat,X179,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & X113 = X179))))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5351_VEBT__internal_Ovalid_H_Oelims_I3_J)).
% 26.16/4.98 tff(f73245,plain,(
% 26.16/4.98 spl4009_1277),
% 26.16/4.98 inference(avatar_split_clause,[],[f56761,f73243])).
% 26.16/4.98 tff(f73243,plain,(
% 26.16/4.98 spl4009_1277 <=> ! [X1 : int] : zero_zero(int) = bit_se5824344872417868541ns_and(int,zero_zero(int),X1)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1277])])).
% 26.16/4.98 tff(f56761,plain,(
% 26.16/4.98 ( ! [X1 : int] : (zero_zero(int) = bit_se5824344872417868541ns_and(int,zero_zero(int),X1)) )),
% 26.16/4.98 inference(equality_resolution,[],[f44651])).
% 26.16/4.98 tff(f44651,plain,(
% 26.16/4.98 ( ! [X0 : int,X1 : int] : (zero_zero(int) = bit_se5824344872417868541ns_and(int,X0,X1) | zero_zero(int) != X0) )),
% 26.16/4.98 inference(cnf_transformation,[],[f23207])).
% 26.16/4.98 tff(f23207,plain,(
% 26.16/4.98 ! [X0 : int,X1 : 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),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(int,divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) | aa(int,int,uminus_uminus(int),one_one(int)) = X1) & (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) & (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) = bit_se5824344872417868541ns_and(int,X0,X1) | (zero_zero(int) != X1 & zero_zero(int) != X0)))),
% 26.16/4.98 inference(flattening,[],[f23206])).
% 26.16/4.98 tff(f23206,plain,(
% 26.16/4.98 ! [X0 : int,X1 : 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),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(int,divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))))) | aa(int,int,uminus_uminus(int),one_one(int)) = X1) & (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) & (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) = bit_se5824344872417868541ns_and(int,X0,X1) | (zero_zero(int) != X1 & zero_zero(int) != X0)))),
% 26.16/4.98 inference(ennf_transformation,[],[f14313])).
% 26.16/4.98 tff(f14313,plain,(
% 26.16/4.98 ! [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 => 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),aa(num,num,bit0,one2)))),modulo_modulo(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(int,divide_divide(int,X0,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),divide_divide(int,X1,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X1 => bit_se5824344872417868541ns_and(int,X0,X1) = X0))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X0 => bit_se5824344872417868541ns_and(int,X0,X1) = X1))) & ((zero_zero(int) = X1 | zero_zero(int) = X0) => zero_zero(int) = bit_se5824344872417868541ns_and(int,X0,X1)))),
% 26.16/4.98 inference(rectify,[],[f2384])).
% 26.16/4.98 tff(f2384,axiom,(
% 26.16/4.98 ! [X77 : int,X95 : int] : ((~(zero_zero(int) = X95 | zero_zero(int) = X77) => ((aa(int,int,uminus_uminus(int),one_one(int)) != X77 => ((aa(int,int,uminus_uminus(int),one_one(int)) != X95 => bit_se5824344872417868541ns_and(int,X77,X95) = 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,X77,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2)))),modulo_modulo(int,X95,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))),aa(int,int,aa(int,fun(int,int),times_times(int),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),bit_se5824344872417868541ns_and(int,divide_divide(int,X77,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))),divide_divide(int,X95,aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X95 => bit_se5824344872417868541ns_and(int,X77,X95) = X77))) & (aa(int,int,uminus_uminus(int),one_one(int)) = X77 => bit_se5824344872417868541ns_and(int,X77,X95) = X95))) & ((zero_zero(int) = X95 | zero_zero(int) = X77) => zero_zero(int) = bit_se5824344872417868541ns_and(int,X77,X95)))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2383_and__int__unfold)).
% 26.16/4.98 tff(f73241,plain,(
% 26.16/4.98 spl4009_1276),
% 26.16/4.98 inference(avatar_split_clause,[],[f56760,f73239])).
% 26.16/4.98 tff(f73239,plain,(
% 26.16/4.98 spl4009_1276 <=> ! [X0 : int] : zero_zero(int) = bit_se5824344872417868541ns_and(int,X0,zero_zero(int))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1276])])).
% 26.16/4.98 tff(f56760,plain,(
% 26.16/4.98 ( ! [X0 : int] : (zero_zero(int) = bit_se5824344872417868541ns_and(int,X0,zero_zero(int))) )),
% 26.16/4.98 inference(equality_resolution,[],[f44652])).
% 26.16/4.98 tff(f44652,plain,(
% 26.16/4.98 ( ! [X0 : int,X1 : int] : (zero_zero(int) = bit_se5824344872417868541ns_and(int,X0,X1) | zero_zero(int) != X1) )),
% 26.16/4.98 inference(cnf_transformation,[],[f23207])).
% 26.16/4.98 tff(f73237,plain,(
% 26.16/4.98 spl4009_1275),
% 26.16/4.98 inference(avatar_split_clause,[],[f56743,f73235])).
% 26.16/4.98 tff(f73235,plain,(
% 26.16/4.98 spl4009_1275 <=> ! [X1 : int] : zero_zero(int) = divide_divide(int,X1,zero_zero(int))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1275])])).
% 26.16/4.98 tff(f56743,plain,(
% 26.16/4.98 ( ! [X1 : int] : (zero_zero(int) = divide_divide(int,X1,zero_zero(int))) )),
% 26.16/4.98 inference(equality_resolution,[],[f44589])).
% 26.16/4.98 tff(f44589,plain,(
% 26.16/4.98 ( ! [X0 : int,X1 : int] : (zero_zero(int) = divide_divide(int,X1,X0) | zero_zero(int) != X0) )),
% 26.16/4.98 inference(cnf_transformation,[],[f23179])).
% 26.16/4.98 tff(f23179,plain,(
% 26.16/4.98 ! [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,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))),aa(bool,nat,zero_neq_one_of_bool(nat),aa(bool,bool,fNot,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,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))) | aa(int,int,sgn_sgn(int),X0) != aa(int,int,sgn_sgn(int),X1))) | zero_zero(int) = X0) & (zero_zero(int) = divide_divide(int,X1,X0) | zero_zero(int) != X0))),
% 26.16/4.98 inference(ennf_transformation,[],[f14287])).
% 26.16/4.98 tff(f14287,plain,(
% 26.16/4.98 ! [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,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0)))),aa(bool,nat,zero_neq_one_of_bool(nat),aa(bool,bool,fNot,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,nat2(aa(int,int,abs_abs(int),X1)),nat2(aa(int,int,abs_abs(int),X0))))))) & (zero_zero(int) = X0 => zero_zero(int) = divide_divide(int,X1,X0)))),
% 26.16/4.98 inference(rectify,[],[f3569])).
% 26.16/4.98 tff(f3569,axiom,(
% 26.16/4.98 ! [X95 : int,X77 : int] : ((zero_zero(int) != X95 => ((aa(int,int,sgn_sgn(int),X95) != aa(int,int,sgn_sgn(int),X77) => divide_divide(int,X77,X95) = aa(int,int,uminus_uminus(int),aa(nat,int,semiring_1_of_nat(int),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X77)),nat2(aa(int,int,abs_abs(int),X95)))),aa(bool,nat,zero_neq_one_of_bool(nat),aa(bool,bool,fNot,dvd_dvd(int,X95,X77))))))) & (aa(int,int,sgn_sgn(int),X95) = aa(int,int,sgn_sgn(int),X77) => divide_divide(int,X77,X95) = aa(nat,int,semiring_1_of_nat(int),divide_divide(nat,nat2(aa(int,int,abs_abs(int),X77)),nat2(aa(int,int,abs_abs(int),X95))))))) & (zero_zero(int) = X95 => zero_zero(int) = divide_divide(int,X77,X95)))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3568_divide__int__def)).
% 26.16/4.98 tff(f73233,plain,(
% 26.16/4.98 spl4009_1274),
% 26.16/4.98 inference(avatar_split_clause,[],[f49834,f73231])).
% 26.16/4.98 tff(f73231,plain,(
% 26.16/4.98 spl4009_1274 <=> ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : filter(X1)] : filterlim(X1,X0,X2,top_top(filter(X0)),X3)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1274])])).
% 26.16/4.98 tff(f49834,plain,(
% 26.16/4.98 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0),X3 : filter(X1)] : (filterlim(X1,X0,X2,top_top(filter(X0)),X3)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f16647])).
% 26.16/4.98 tff(f16647,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0),X3 : filter(X1)] : filterlim(X1,X0,X2,top_top(filter(X0)),X3)),
% 26.16/4.98 inference(rectify,[],[f4969])).
% 26.16/4.98 tff(f4969,axiom,(
% 26.16/4.98 ! [X1 : $tType,X0 : $tType,X56 : fun(X0,X1),X218 : filter(X0)] : filterlim(X0,X1,X56,top_top(filter(X1)),X218)),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4968_filterlim__top)).
% 26.16/4.98 tff(f73229,plain,(
% 26.16/4.98 spl4009_1273),
% 26.16/4.98 inference(avatar_split_clause,[],[f49833,f73227])).
% 26.16/4.98 tff(f73227,plain,(
% 26.16/4.98 spl4009_1273 <=> ! [X0 : $tType,X2 : fun(num,X0),X1 : X0,X3 : fun(num,X0)] : case_num(X0,X1,X2,X3,one2) = X1),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1273])])).
% 26.16/4.98 tff(f49833,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : fun(num,X0),X3 : fun(num,X0),X1 : X0] : (case_num(X0,X1,X2,X3,one2) = X1) )),
% 26.16/4.98 inference(cnf_transformation,[],[f16646])).
% 26.16/4.98 tff(f16646,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : X0,X2 : fun(num,X0),X3 : fun(num,X0)] : case_num(X0,X1,X2,X3,one2) = X1),
% 26.16/4.98 inference(rectify,[],[f4606])).
% 26.16/4.98 tff(f4606,axiom,(
% 26.16/4.98 ! [X0 : $tType,X59 : X0,X265 : fun(num,X0),X303 : fun(num,X0)] : case_num(X0,X59,X265,X303,one2) = X59),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4605_verit__eq__simplify_I16_J)).
% 26.16/4.98 tff(f73225,plain,(
% 26.16/4.98 spl4009_1272),
% 26.16/4.98 inference(avatar_split_clause,[],[f49829,f73223])).
% 26.16/4.98 tff(f73223,plain,(
% 26.16/4.98 spl4009_1272 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP552(X0,X2,X1) | ~sP553(X0,X2,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1272])])).
% 26.16/4.98 tff(f49829,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP552(X0,X2,X1) | ~sP553(X0,X2,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34668])).
% 26.16/4.98 tff(f34668,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((sP552(X0,X2,X1) | ~sP553(X0,X2,X1)) & (sP553(X0,X2,X1) | ~sP552(X0,X2,X1)))),
% 26.16/4.98 inference(nnf_transformation,[],[f28187])).
% 26.16/4.98 tff(f28187,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (sP552(X0,X2,X1) <=> sP553(X0,X2,X1))),
% 26.16/4.98 inference(definition_folding,[],[f25518,f28186,f28185])).
% 26.16/4.98 tff(f28185,plain,(
% 26.16/4.98 ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP552(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)))))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP552])])).
% 26.16/4.98 tff(f28186,plain,(
% 26.16/4.98 ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP553(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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X6)) = X1))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP553])])).
% 26.16/4.98 tff(f25518,plain,(
% 26.16/4.98 ! [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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X6)) = X1))),
% 26.16/4.98 inference(ennf_transformation,[],[f16642])).
% 26.16/4.98 tff(f16642,plain,(
% 26.16/4.98 ! [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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X6)) = X1))),
% 26.16/4.98 inference(rectify,[],[f4870])).
% 26.16/4.98 tff(f4870,axiom,(
% 26.16/4.98 ! [X0 : $tType,X37 : list(X0),X45 : fun(X0,bool)] : (? [X38 : X0] : (pp(aa(X0,bool,X45,X38)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),aa(list(X0),set(X0),set2(X0),X37)))) <=> ? [X287 : list(X0),X38 : X0,X288 : list(X0)] : (! [X142 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X142),aa(list(X0),set(X0),set2(X0),X288))) => ~pp(aa(X0,bool,X45,X142))) & pp(aa(X0,bool,X45,X38)) & append(X0,X287,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X38),X288)) = X37))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4869_split__list__last__prop__iff)).
% 26.16/4.98 tff(f73221,plain,(
% 26.16/4.98 spl4009_1271),
% 26.16/4.98 inference(avatar_split_clause,[],[f49828,f73219])).
% 26.16/4.98 tff(f73219,plain,(
% 26.16/4.98 spl4009_1271 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP553(X0,X2,X1) | ~sP552(X0,X2,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1271])])).
% 26.16/4.98 tff(f49828,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP553(X0,X2,X1) | ~sP552(X0,X2,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34668])).
% 26.16/4.98 tff(f73217,plain,(
% 26.16/4.98 spl4009_1270),
% 26.16/4.98 inference(avatar_split_clause,[],[f49819,f73215])).
% 26.16/4.98 tff(f73215,plain,(
% 26.16/4.98 spl4009_1270 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP550(X0,X2,X1) | ~sP551(X0,X2,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1270])])).
% 26.16/4.98 tff(f49819,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP550(X0,X2,X1) | ~sP551(X0,X2,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34658])).
% 26.16/4.98 tff(f34658,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : ((sP550(X0,X2,X1) | ~sP551(X0,X2,X1)) & (sP551(X0,X2,X1) | ~sP550(X0,X2,X1)))),
% 26.16/4.98 inference(nnf_transformation,[],[f28184])).
% 26.16/4.98 tff(f28184,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : (sP550(X0,X2,X1) <=> sP551(X0,X2,X1))),
% 26.16/4.98 inference(definition_folding,[],[f25517,f28183,f28182])).
% 26.16/4.98 tff(f28182,plain,(
% 26.16/4.98 ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP550(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)))))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP550])])).
% 26.16/4.98 tff(f28183,plain,(
% 26.16/4.98 ! [X2 : fun(X0,bool),X0 : $tType,X1 : list(X0)] : (sP551(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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X7)) = X1))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP551])])).
% 26.16/4.98 tff(f25517,plain,(
% 26.16/4.98 ! [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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X7)) = X1))),
% 26.16/4.98 inference(ennf_transformation,[],[f16641])).
% 26.16/4.98 tff(f16641,plain,(
% 26.16/4.98 ! [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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X5),X7)) = X1))),
% 26.16/4.98 inference(rectify,[],[f4871])).
% 26.16/4.98 tff(f4871,axiom,(
% 26.16/4.98 ! [X0 : $tType,X37 : list(X0),X45 : fun(X0,bool)] : (? [X38 : X0] : (pp(aa(X0,bool,X45,X38)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),aa(list(X0),set(X0),set2(X0),X37)))) <=> ? [X287 : list(X0),X38 : X0] : (! [X142 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X142),aa(list(X0),set(X0),set2(X0),X287))) => ~pp(aa(X0,bool,X45,X142))) & pp(aa(X0,bool,X45,X38)) & ? [X288 : list(X0)] : append(X0,X287,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X38),X288)) = X37))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4870_split__list__first__prop__iff)).
% 26.16/4.98 tff(f73213,plain,(
% 26.16/4.98 spl4009_1269 | ~spl4009_112 | ~spl4009_786),
% 26.16/4.98 inference(avatar_split_clause,[],[f71178,f70878,f67586,f73210])).
% 26.16/4.98 tff(f73210,plain,(
% 26.16/4.98 spl4009_1269 <=> sP86(complex)),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1269])])).
% 26.16/4.98 tff(f71178,plain,(
% 26.16/4.98 sP86(complex) | (~spl4009_112 | ~spl4009_786)),
% 26.16/4.98 inference(resolution,[],[f70879,f67588])).
% 26.16/4.98 tff(f73208,plain,(
% 26.16/4.98 spl4009_1268),
% 26.16/4.98 inference(avatar_split_clause,[],[f49818,f73206])).
% 26.16/4.98 tff(f73206,plain,(
% 26.16/4.98 spl4009_1268 <=> ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP551(X0,X2,X1) | ~sP550(X0,X2,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1268])])).
% 26.16/4.98 tff(f49818,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP551(X0,X2,X1) | ~sP550(X0,X2,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34658])).
% 26.16/4.98 tff(f73204,plain,(
% 26.16/4.98 spl4009_1267),
% 26.16/4.98 inference(avatar_split_clause,[],[f49212,f73202])).
% 26.16/4.98 tff(f73202,plain,(
% 26.16/4.98 spl4009_1267 <=> ! [X2 : nat,X0 : bool,X1 : bool] : (sP530(X2,X1) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1267])])).
% 26.16/4.98 tff(f49212,plain,(
% 26.16/4.98 ( ! [X2 : nat,X0 : bool,X1 : bool] : (sP530(X2,X1) | ~vEBT_V5719532721284313246member(vEBT_Leaf(X0,X1),X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34174])).
% 26.16/4.98 tff(f73200,plain,(
% 26.16/4.98 spl4009_1266),
% 26.16/4.98 inference(avatar_split_clause,[],[f49198,f73198])).
% 26.16/4.98 tff(f73198,plain,(
% 26.16/4.98 spl4009_1266 <=> ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (order_well_order_on(X0,X1,X2) | ~bNF_Ca8970107618336181345der_on(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1266])])).
% 26.16/4.98 tff(f49198,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (order_well_order_on(X0,X1,X2) | ~bNF_Ca8970107618336181345der_on(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34165])).
% 26.16/4.98 tff(f34165,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : ((bNF_Ca8970107618336181345der_on(X0,X1,X2) | (~pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),sK3120(X0,X1,X2))),bNF_Wellorder_ordLeq(X0,X0))) & order_well_order_on(X0,X1,sK3120(X0,X1,X2))) | ~order_well_order_on(X0,X1,X2)) & ((! [X4 : set(product_prod(X0,X0))] : (pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X4)),bNF_Wellorder_ordLeq(X0,X0))) | ~order_well_order_on(X0,X1,X4)) & order_well_order_on(X0,X1,X2)) | ~bNF_Ca8970107618336181345der_on(X0,X1,X2)))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3120])],[f34163,f34164])).
% 26.16/4.98 tff(f34164,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (? [X3 : set(product_prod(X0,X0))] : (~pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0))) & order_well_order_on(X0,X1,X3)) => (~pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),sK3120(X0,X1,X2))),bNF_Wellorder_ordLeq(X0,X0))) & order_well_order_on(X0,X1,sK3120(X0,X1,X2))))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f34163,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : ((bNF_Ca8970107618336181345der_on(X0,X1,X2) | ? [X3 : set(product_prod(X0,X0))] : (~pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0))) & order_well_order_on(X0,X1,X3)) | ~order_well_order_on(X0,X1,X2)) & ((! [X4 : set(product_prod(X0,X0))] : (pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X4)),bNF_Wellorder_ordLeq(X0,X0))) | ~order_well_order_on(X0,X1,X4)) & order_well_order_on(X0,X1,X2)) | ~bNF_Ca8970107618336181345der_on(X0,X1,X2)))),
% 26.16/4.98 inference(rectify,[],[f34162])).
% 26.16/4.98 tff(f34162,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : ((bNF_Ca8970107618336181345der_on(X0,X1,X2) | ? [X3 : set(product_prod(X0,X0))] : (~pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0))) & order_well_order_on(X0,X1,X3)) | ~order_well_order_on(X0,X1,X2)) & ((! [X3 : set(product_prod(X0,X0))] : (pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0))) | ~order_well_order_on(X0,X1,X3)) & order_well_order_on(X0,X1,X2)) | ~bNF_Ca8970107618336181345der_on(X0,X1,X2)))),
% 26.16/4.98 inference(flattening,[],[f34161])).
% 26.16/4.98 tff(f34161,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : ((bNF_Ca8970107618336181345der_on(X0,X1,X2) | (? [X3 : set(product_prod(X0,X0))] : (~pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0))) & order_well_order_on(X0,X1,X3)) | ~order_well_order_on(X0,X1,X2))) & ((! [X3 : set(product_prod(X0,X0))] : (pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0))) | ~order_well_order_on(X0,X1,X3)) & order_well_order_on(X0,X1,X2)) | ~bNF_Ca8970107618336181345der_on(X0,X1,X2)))),
% 26.16/4.98 inference(nnf_transformation,[],[f25458])).
% 26.16/4.98 tff(f25458,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (bNF_Ca8970107618336181345der_on(X0,X1,X2) <=> (! [X3 : set(product_prod(X0,X0))] : (pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0))) | ~order_well_order_on(X0,X1,X3)) & order_well_order_on(X0,X1,X2)))),
% 26.16/4.98 inference(ennf_transformation,[],[f16440])).
% 26.16/4.98 tff(f16440,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (bNF_Ca8970107618336181345der_on(X0,X1,X2) <=> (! [X3 : set(product_prod(X0,X0))] : (order_well_order_on(X0,X1,X3) => pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X2),X3)),bNF_Wellorder_ordLeq(X0,X0)))) & order_well_order_on(X0,X1,X2)))),
% 26.16/4.98 inference(rectify,[],[f7726])).
% 26.16/4.98 tff(f7726,axiom,(
% 26.16/4.98 ! [X0 : $tType,X54 : set(X0),X110 : set(product_prod(X0,X0))] : (bNF_Ca8970107618336181345der_on(X0,X54,X110) <=> (! [X486 : set(product_prod(X0,X0))] : (order_well_order_on(X0,X54,X486) => pp(aa(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool,aa(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),bool),member(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),aa(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))),product_Pair(set(product_prod(X0,X0)),set(product_prod(X0,X0))),X110),X486)),bNF_Wellorder_ordLeq(X0,X0)))) & order_well_order_on(X0,X54,X110)))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7725_card__order__on__def)).
% 26.16/4.98 tff(f73196,plain,(
% 26.16/4.98 spl4009_1265),
% 26.16/4.98 inference(avatar_split_clause,[],[f49197,f73194])).
% 26.16/4.98 tff(f73194,plain,(
% 26.16/4.98 spl4009_1265 <=> ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (refl_on(X0,X1,X2) | ~sP529(X0,X2,X1))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1265])])).
% 26.16/4.98 tff(f49197,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (refl_on(X0,X1,X2) | ~sP529(X0,X2,X1)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34160])).
% 26.16/4.98 tff(f34160,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : ((refl_on(X0,X1,X2) | ~sP529(X0,X2,X1)) & (sP529(X0,X2,X1) | ~refl_on(X0,X1,X2)))),
% 26.16/4.98 inference(nnf_transformation,[],[f28142])).
% 26.16/4.98 tff(f28142,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (refl_on(X0,X1,X2) <=> sP529(X0,X2,X1))),
% 26.16/4.98 inference(definition_folding,[],[f25457,f28141])).
% 26.16/4.98 tff(f28141,plain,(
% 26.16/4.98 ! [X2 : set(product_prod(X0,X0)),X0 : $tType,X1 : set(X0)] : (sP529(X0,X2,X1) <=> (! [X3 : X0] : (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X3)),X2)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & ! [X4 : product_prod(X0,X0)] : (pp(aa(product_prod(X0,X0),bool,aa(fun(X0,fun(X0,bool)),fun(product_prod(X0,X0),bool),product_case_prod(X0,X0,bool),aTP_Lamp_agt(set(X0),fun(X0,fun(X0,bool)),X1)),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)),X4),X2)))))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP529])])).
% 26.16/4.98 tff(f25457,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (refl_on(X0,X1,X2) <=> (! [X3 : X0] : (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X3)),X2)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1))) & ! [X4 : product_prod(X0,X0)] : (pp(aa(product_prod(X0,X0),bool,aa(fun(X0,fun(X0,bool)),fun(product_prod(X0,X0),bool),product_case_prod(X0,X0,bool),aTP_Lamp_agt(set(X0),fun(X0,fun(X0,bool)),X1)),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)),X4),X2)))))),
% 26.16/4.98 inference(ennf_transformation,[],[f16439])).
% 26.16/4.98 tff(f16439,plain,(
% 26.16/4.98 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (refl_on(X0,X1,X2) <=> (! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)) => 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X3)),X2))) & ! [X4 : product_prod(X0,X0)] : (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)),X4),X2)) => pp(aa(product_prod(X0,X0),bool,aa(fun(X0,fun(X0,bool)),fun(product_prod(X0,X0),bool),product_case_prod(X0,X0,bool),aTP_Lamp_agt(set(X0),fun(X0,fun(X0,bool)),X1)),X4)))))),
% 26.16/4.98 inference(rectify,[],[f7244])).
% 26.16/4.98 tff(f7244,axiom,(
% 26.16/4.98 ! [X0 : $tType,X54 : set(X0),X110 : set(product_prod(X0,X0))] : (refl_on(X0,X54,X110) <=> (! [X38 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X54)) => 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X38),X38)),X110))) & ! [X38 : product_prod(X0,X0)] : (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)),X38),X110)) => pp(aa(product_prod(X0,X0),bool,aa(fun(X0,fun(X0,bool)),fun(product_prod(X0,X0),bool),product_case_prod(X0,X0,bool),aTP_Lamp_agt(set(X0),fun(X0,fun(X0,bool)),X54)),X38)))))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7243_refl__on__def_H)).
% 26.16/4.98 tff(f73192,plain,(
% 26.16/4.98 spl4009_1264),
% 26.16/4.98 inference(avatar_split_clause,[],[f49196,f73190])).
% 26.16/4.98 tff(f73190,plain,(
% 26.16/4.98 spl4009_1264 <=> ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (sP529(X0,X2,X1) | ~refl_on(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1264])])).
% 26.16/4.98 tff(f49196,plain,(
% 26.16/4.98 ( ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (sP529(X0,X2,X1) | ~refl_on(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34160])).
% 26.16/4.98 tff(f73188,plain,(
% 26.16/4.98 spl4009_1263),
% 26.16/4.98 inference(avatar_split_clause,[],[f49176,f73186])).
% 26.16/4.98 tff(f73186,plain,(
% 26.16/4.98 spl4009_1263 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (eucl_rel_int(X0,X1,X2) | ~sP528(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1263])])).
% 26.16/4.98 tff(f49176,plain,(
% 26.16/4.98 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (eucl_rel_int(X0,X1,X2) | ~sP528(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34138])).
% 26.16/4.98 tff(f34138,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((eucl_rel_int(X0,X1,X2) | ~sP528(X0,X1,X2)) & (sP528(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2)))),
% 26.16/4.98 inference(nnf_transformation,[],[f28140])).
% 26.16/4.98 tff(f28140,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (eucl_rel_int(X0,X1,X2) <=> sP528(X0,X1,X2))),
% 26.16/4.98 inference(definition_folding,[],[f16435,f28139,f28138,f28137])).
% 26.16/4.98 tff(f28137,plain,(
% 26.16/4.98 ! [X2 : product_prod(int,int),X1 : int,X0 : int] : (sP526(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),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X9),zero_zero(int)) = X2 & X1 = X7 & X0 = X8))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP526])])).
% 26.16/4.98 tff(f28138,plain,(
% 26.16/4.98 ! [X2 : product_prod(int,int),X1 : int,X0 : int] : (sP527(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),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X6),X3) = X2 & X1 = X4 & X0 = X5))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP527])])).
% 26.16/4.98 tff(f28139,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (sP528(X0,X1,X2) <=> (sP527(X2,X1,X0) | sP526(X2,X1,X0) | ? [X10 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)))),
% 26.16/4.98 introduced(predicate_definition_introduction,[new_symbols(naming,[sP528])])).
% 26.16/4.98 tff(f16435,plain,(
% 26.16/4.98 ! [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),aa(int,fun(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),aa(int,fun(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),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)))),
% 26.16/4.98 inference(rectify,[],[f3576])).
% 26.16/4.98 tff(f3576,axiom,(
% 26.16/4.98 ! [X200 : int,X201 : int,X256 : product_prod(int,int)] : (eucl_rel_int(X200,X201,X256) <=> (? [X258 : int,X257 : int,X102 : int,X164 : int] : (aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),times_times(int),X164),X257)),X258) = X102 & pp(aa(int,bool,aa(int,fun(int,bool),ord_less(int),aa(int,int,abs_abs(int),X258)),aa(int,int,abs_abs(int),X257))) & aa(int,int,sgn_sgn(int),X258) = aa(int,int,sgn_sgn(int),X257) & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X164),X258) = X256 & X201 = X257 & X102 = X200) | ? [X257 : int,X102 : int,X164 : int] : (aa(int,int,aa(int,fun(int,int),times_times(int),X164),X257) = X102 & zero_zero(int) != X257 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X164),zero_zero(int)) = X256 & X201 = X257 & X102 = X200) | ? [X102 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X102) = X256 & zero_zero(int) = X201 & X102 = X200)))),
% 26.16/4.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3575_eucl__rel__int_Osimps)).
% 26.16/4.98 tff(f73184,plain,(
% 26.16/4.98 spl4009_1262),
% 26.16/4.98 inference(avatar_split_clause,[],[f49175,f73182])).
% 26.16/4.98 tff(f73182,plain,(
% 26.16/4.98 spl4009_1262 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP528(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1262])])).
% 26.16/4.98 tff(f49175,plain,(
% 26.16/4.98 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP528(X0,X1,X2) | ~eucl_rel_int(X0,X1,X2)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34138])).
% 26.16/4.98 tff(f73180,plain,(
% 26.16/4.98 spl4009_1261),
% 26.16/4.98 inference(avatar_split_clause,[],[f49161,f73178])).
% 26.16/4.98 tff(f73178,plain,(
% 26.16/4.98 spl4009_1261 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP528(X0,X1,X2) | ~sP527(X2,X1,X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1261])])).
% 26.16/4.98 tff(f49161,plain,(
% 26.16/4.98 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP528(X0,X1,X2) | ~sP527(X2,X1,X0)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34129])).
% 26.16/4.98 tff(f34129,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP528(X0,X1,X2) | (~sP527(X2,X1,X0) & ~sP526(X2,X1,X0) & ! [X3 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X3) != X2 | zero_zero(int) != X1 | X0 != X3))) & (sP527(X2,X1,X0) | sP526(X2,X1,X0) | (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),sK3105(X0,X1,X2)) = X2 & zero_zero(int) = X1 & sK3105(X0,X1,X2) = X0) | ~sP528(X0,X1,X2)))),
% 26.16/4.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3105])],[f34127,f34128])).
% 26.16/4.98 tff(f34128,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : (? [X4 : int] : (aa(int,product_prod(int,int),aa(int,fun(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),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),sK3105(X0,X1,X2)) = X2 & zero_zero(int) = X1 & sK3105(X0,X1,X2) = X0))),
% 26.16/4.98 introduced(choice_axiom,[])).
% 26.16/4.98 tff(f34127,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP528(X0,X1,X2) | (~sP527(X2,X1,X0) & ~sP526(X2,X1,X0) & ! [X3 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X3) != X2 | zero_zero(int) != X1 | X0 != X3))) & (sP527(X2,X1,X0) | sP526(X2,X1,X0) | ? [X4 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X4) = X2 & zero_zero(int) = X1 & X0 = X4) | ~sP528(X0,X1,X2)))),
% 26.16/4.98 inference(rectify,[],[f34126])).
% 26.16/4.98 tff(f34126,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP528(X0,X1,X2) | (~sP527(X2,X1,X0) & ~sP526(X2,X1,X0) & ! [X10 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) != X2 | zero_zero(int) != X1 | X0 != X10))) & (sP527(X2,X1,X0) | sP526(X2,X1,X0) | ? [X10 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10) | ~sP528(X0,X1,X2)))),
% 26.16/4.98 inference(flattening,[],[f34125])).
% 26.16/4.98 tff(f34125,plain,(
% 26.16/4.98 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((sP528(X0,X1,X2) | (~sP527(X2,X1,X0) & ~sP526(X2,X1,X0) & ! [X10 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) != X2 | zero_zero(int) != X1 | X0 != X10))) & ((sP527(X2,X1,X0) | sP526(X2,X1,X0) | ? [X10 : int] : (aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),X10) = X2 & zero_zero(int) = X1 & X0 = X10)) | ~sP528(X0,X1,X2)))),
% 26.16/4.98 inference(nnf_transformation,[],[f28139])).
% 26.16/4.98 tff(f73176,plain,(
% 26.16/4.98 spl4009_1260),
% 26.16/4.98 inference(avatar_split_clause,[],[f49160,f73174])).
% 26.16/4.98 tff(f73174,plain,(
% 26.16/4.98 spl4009_1260 <=> ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP528(X0,X1,X2) | ~sP526(X2,X1,X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1260])])).
% 26.16/4.98 tff(f49160,plain,(
% 26.16/4.98 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (sP528(X0,X1,X2) | ~sP526(X2,X1,X0)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34129])).
% 26.16/4.98 tff(f73172,plain,(
% 26.16/4.98 spl4009_1259),
% 26.16/4.98 inference(avatar_split_clause,[],[f49141,f73170])).
% 26.16/4.98 tff(f73170,plain,(
% 26.16/4.98 spl4009_1259 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) | ~sP525(X2,X1,X0))),
% 26.16/4.98 introduced(avatar_definition,[new_symbols(naming,[spl4009_1259])])).
% 26.16/4.98 tff(f49141,plain,(
% 26.16/4.98 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) | ~sP525(X2,X1,X0)) )),
% 26.16/4.98 inference(cnf_transformation,[],[f34109])).
% 26.16/4.98 tff(f34109,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : ((vEBT_is_pred_in_set(X0,X1,X2) | ~sP525(X2,X1,X0)) & (sP525(X2,X1,X0) | ~vEBT_is_pred_in_set(X0,X1,X2)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28136])).
% 26.16/4.99 tff(f28136,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> sP525(X2,X1,X0))),
% 26.16/4.99 inference(definition_folding,[],[f25448,f28135])).
% 26.16/4.99 tff(f28135,plain,(
% 26.16/4.99 ! [X2 : nat,X1 : nat,X0 : set(nat)] : (sP525(X2,X1,X0) <=> (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1)) | ~pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP525])])).
% 26.16/4.99 tff(f25448,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> (! [X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1)) | ~pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 inference(flattening,[],[f25447])).
% 26.16/4.99 tff(f25447,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> (! [X3 : nat] : ((pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X1))) | ~pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 inference(ennf_transformation,[],[f16431])).
% 26.16/4.99 tff(f16431,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_pred_in_set(X0,X1,X2) <=> (! [X3 : nat] : (pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0)) => (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),X3),X2)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X2),X1)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 inference(rectify,[],[f912])).
% 26.16/4.99 tff(f912,axiom,(
% 26.16/4.99 ! [X37 : set(nat),X25 : nat,X28 : nat] : (vEBT_is_pred_in_set(X37,X25,X28) <=> (! [X38 : nat] : (pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X38),X37)) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X38),X25)) => pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X38),X28)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X28),X25)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X28),X37))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_911_is__pred__in__set__def)).
% 26.16/4.99 tff(f73168,plain,(
% 26.16/4.99 spl4009_1258 | ~spl4009_75 | ~spl4009_785),
% 26.16/4.99 inference(avatar_split_clause,[],[f71177,f70874,f67401,f73165])).
% 26.16/4.99 tff(f73165,plain,(
% 26.16/4.99 spl4009_1258 <=> sP84(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1258])])).
% 26.16/4.99 tff(f67401,plain,(
% 26.16/4.99 spl4009_75 <=> real_V822414075346904944vector(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_75])])).
% 26.16/4.99 tff(f70874,plain,(
% 26.16/4.99 spl4009_785 <=> ! [X0 : $tType] : (sP84(X0) | ~real_V822414075346904944vector(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_785])])).
% 26.16/4.99 tff(f71177,plain,(
% 26.16/4.99 sP84(real) | (~spl4009_75 | ~spl4009_785)),
% 26.16/4.99 inference(resolution,[],[f70875,f67403])).
% 26.16/4.99 tff(f67403,plain,(
% 26.16/4.99 real_V822414075346904944vector(real) | ~spl4009_75),
% 26.16/4.99 inference(avatar_component_clause,[],[f67401])).
% 26.16/4.99 tff(f70875,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~real_V822414075346904944vector(X0) | sP84(X0)) ) | ~spl4009_785),
% 26.16/4.99 inference(avatar_component_clause,[],[f70874])).
% 26.16/4.99 tff(f73163,plain,(
% 26.16/4.99 spl4009_1257),
% 26.16/4.99 inference(avatar_split_clause,[],[f49140,f73161])).
% 26.16/4.99 tff(f73161,plain,(
% 26.16/4.99 spl4009_1257 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP525(X2,X1,X0) | ~vEBT_is_pred_in_set(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1257])])).
% 26.16/4.99 tff(f49140,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP525(X2,X1,X0) | ~vEBT_is_pred_in_set(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34109])).
% 26.16/4.99 tff(f73159,plain,(
% 26.16/4.99 spl4009_1256),
% 26.16/4.99 inference(avatar_split_clause,[],[f49133,f73157])).
% 26.16/4.99 tff(f73157,plain,(
% 26.16/4.99 spl4009_1256 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) | ~sP524(X2,X1,X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1256])])).
% 26.16/4.99 tff(f49133,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) | ~sP524(X2,X1,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34103])).
% 26.16/4.99 tff(f34103,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : ((vEBT_is_succ_in_set(X0,X1,X2) | ~sP524(X2,X1,X0)) & (sP524(X2,X1,X0) | ~vEBT_is_succ_in_set(X0,X1,X2)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28134])).
% 26.16/4.99 tff(f28134,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> sP524(X2,X1,X0))),
% 26.16/4.99 inference(definition_folding,[],[f25446,f28133])).
% 26.16/4.99 tff(f28133,plain,(
% 26.16/4.99 ! [X2 : nat,X1 : nat,X0 : set(nat)] : (sP524(X2,X1,X0) <=> (! [X3 : nat] : (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(nat),X1),X3)) | ~pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X2)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP524])])).
% 26.16/4.99 tff(f25446,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> (! [X3 : nat] : (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(nat),X1),X3)) | ~pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X2)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 inference(flattening,[],[f25445])).
% 26.16/4.99 tff(f25445,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> (! [X3 : nat] : ((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(nat),X1),X3))) | ~pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X2)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 inference(ennf_transformation,[],[f16430])).
% 26.16/4.99 tff(f16430,plain,(
% 26.16/4.99 ! [X0 : set(nat),X1 : nat,X2 : nat] : (vEBT_is_succ_in_set(X0,X1,X2) <=> (! [X3 : nat] : (pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X3),X0)) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),X3)) => 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(nat),X1),X2)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X2),X0))))),
% 26.16/4.99 inference(rectify,[],[f911])).
% 26.16/4.99 tff(f911,axiom,(
% 26.16/4.99 ! [X37 : set(nat),X25 : nat,X28 : nat] : (vEBT_is_succ_in_set(X37,X25,X28) <=> (! [X38 : nat] : (pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X38),X37)) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X25),X38)) => pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X28),X38)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X25),X28)) & pp(aa(set(nat),bool,aa(nat,fun(set(nat),bool),member(nat),X28),X37))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_910_is__succ__in__set__def)).
% 26.16/4.99 tff(f73155,plain,(
% 26.16/4.99 spl4009_1255),
% 26.16/4.99 inference(avatar_split_clause,[],[f49132,f73153])).
% 26.16/4.99 tff(f73153,plain,(
% 26.16/4.99 spl4009_1255 <=> ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP524(X2,X1,X0) | ~vEBT_is_succ_in_set(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1255])])).
% 26.16/4.99 tff(f49132,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : set(nat),X1 : nat] : (sP524(X2,X1,X0) | ~vEBT_is_succ_in_set(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34103])).
% 26.16/4.99 tff(f73151,plain,(
% 26.16/4.99 spl4009_1254),
% 26.16/4.99 inference(avatar_split_clause,[],[f49071,f73149])).
% 26.16/4.99 tff(f73149,plain,(
% 26.16/4.99 spl4009_1254 <=> ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (total_on(X0,X1,X2) | sP523(X0,X2,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1254])])).
% 26.16/4.99 tff(f49071,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : set(product_prod(X0,X0)),X1 : set(X0)] : (total_on(X0,X1,X2) | sP523(X0,X2,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28132])).
% 26.16/4.99 tff(f28132,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (total_on(X0,X1,X2) | sP523(X0,X2,X1))),
% 26.16/4.99 inference(definition_folding,[],[f25424,f28131])).
% 26.16/4.99 tff(f28131,plain,(
% 26.16/4.99 ! [X2 : set(product_prod(X0,X0)),X0 : $tType,X1 : set(X0)] : (? [X3 : X0,X4 : X0] : (~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X2)) & ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X4)),X2)) & X3 != X4 & 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),X3),X1))) | ~sP523(X0,X2,X1))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP523])])).
% 26.16/4.99 tff(f25424,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (total_on(X0,X1,X2) | ? [X3 : X0,X4 : X0] : (~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X2)) & ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X4)),X2)) & X3 != X4 & 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),X3),X1))))),
% 26.16/4.99 inference(flattening,[],[f25423])).
% 26.16/4.99 tff(f25423,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (total_on(X0,X1,X2) | ? [X3 : X0,X4 : X0] : ((((~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X2)) & ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X4)),X2))) & X3 != X4) & 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),X3),X1))))),
% 26.16/4.99 inference(ennf_transformation,[],[f16411])).
% 26.16/4.99 tff(f16411,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0),X2 : set(product_prod(X0,X0))] : (! [X3 : X0,X4 : 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),X4),X1)) => (X3 != 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X2)) | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X4)),X2)))))) => total_on(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f6345])).
% 26.16/4.99 tff(f6345,axiom,(
% 26.16/4.99 ! [X0 : $tType,X54 : set(X0),X110 : set(product_prod(X0,X0))] : (! [X52 : X0,X53 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X52),X54)) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X53),X54)) => (X52 != X53 => (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X53),X52)),X110)) | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X52),X53)),X110)))))) => total_on(X0,X54,X110))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6344_total__onI)).
% 26.16/4.99 tff(f73147,plain,(
% 26.16/4.99 spl4009_1253),
% 26.16/4.99 inference(avatar_split_clause,[],[f48220,f73145])).
% 26.16/4.99 tff(f73145,plain,(
% 26.16/4.99 spl4009_1253 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP450(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1253])])).
% 26.16/4.99 tff(f48220,plain,(
% 26.16/4.99 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP450(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33473])).
% 26.16/4.99 tff(f33473,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK2752(X1),sK2753(X1),sK2754(X1)) = X1) | ~sP450(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2752,sK2753,sK2754])],[f33471,f33472])).
% 26.16/4.99 tff(f33472,plain,(
% 26.16/4.99 ! [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)),sK2752(X1),sK2753(X1),sK2754(X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33471,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP450(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f33470])).
% 26.16/4.99 tff(f33470,plain,(
% 26.16/4.99 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP450(X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28031])).
% 26.16/4.99 tff(f28031,plain,(
% 26.16/4.99 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X10 : nat,X11 : list(vEBT_VEBT),X12 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X10,X11,X12) = X0) | ~sP450(X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP450])])).
% 26.16/4.99 tff(f73143,plain,(
% 26.16/4.99 spl4009_1252),
% 26.16/4.99 inference(avatar_split_clause,[],[f48174,f73141])).
% 26.16/4.99 tff(f73141,plain,(
% 26.16/4.99 spl4009_1252 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP436(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1252])])).
% 26.16/4.99 tff(f48174,plain,(
% 26.16/4.99 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP436(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33419])).
% 26.16/4.99 tff(f33419,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK2712(X1),sK2713(X1),sK2714(X1)) = X1) | ~sP436(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2712,sK2713,sK2714])],[f33417,f33418])).
% 26.16/4.99 tff(f33418,plain,(
% 26.16/4.99 ! [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)),sK2712(X1),sK2713(X1),sK2714(X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33417,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((none(nat) = X0 & ? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP436(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f33416])).
% 26.16/4.99 tff(f33416,plain,(
% 26.16/4.99 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP436(X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28015])).
% 26.16/4.99 tff(f28015,plain,(
% 26.16/4.99 ! [X2 : option(nat),X0 : vEBT_VEBT] : ((none(nat) = X2 & ? [X8 : nat,X9 : list(vEBT_VEBT),X10 : vEBT_VEBT] : vEBT_Node(none(product_prod(nat,nat)),X8,X9,X10) = X0) | ~sP436(X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP436])])).
% 26.16/4.99 tff(f73139,plain,(
% 26.16/4.99 spl4009_1251),
% 26.16/4.99 inference(avatar_split_clause,[],[f47799,f73137])).
% 26.16/4.99 tff(f73137,plain,(
% 26.16/4.99 spl4009_1251 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP340(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1251])])).
% 26.16/4.99 tff(f47799,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP340(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32991])).
% 26.16/4.99 tff(f32991,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : extended_enat,X2 : vEBT_VEBT] : ((vEBT_Node(sK2512(X0,X1,X2),sK2513(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_ajr(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2513(X0,X1,X2))),sK2514(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2515(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2512(X0,X1,X2),sK2513(X0,X1,X2),sK2514(X0,X1,X2),sK2515(X0,X1,X2)) = X2) | ~sP340(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2512,sK2513,sK2514,sK2515])],[f32989,f32990])).
% 26.16/4.99 tff(f32990,plain,(
% 26.16/4.99 ! [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_ajr(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(sK2512(X0,X1,X2),sK2513(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_ajr(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2513(X0,X1,X2))),sK2514(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2515(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2512(X0,X1,X2),sK2513(X0,X1,X2),sK2514(X0,X1,X2),sK2515(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32989,plain,(
% 26.16/4.99 ! [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_ajr(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) | ~sP340(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f32988])).
% 26.16/4.99 tff(f32988,plain,(
% 26.16/4.99 ! [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_ajr(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) | ~sP340(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27905])).
% 26.16/4.99 tff(f27905,plain,(
% 26.16/4.99 ! [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_ajr(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) | ~sP340(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP340])])).
% 26.16/4.99 tff(f73135,plain,(
% 26.16/4.99 spl4009_1250),
% 26.16/4.99 inference(avatar_split_clause,[],[f47789,f73133])).
% 26.16/4.99 tff(f73133,plain,(
% 26.16/4.99 spl4009_1250 <=> ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP338(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1250])])).
% 26.16/4.99 tff(f47789,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : vEBT_VEBT,X1 : extended_enat] : (extend4730790105801354508finity(extended_enat) = X1 | ~sP338(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32980])).
% 26.16/4.99 tff(f32980,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(extended_enat,product_prod(vEBT_VEBT,extended_enat)),product_Pair(vEBT_VEBT,extended_enat),vEBT_Node(sK2501(X0,X1,X2),sK2502(X0,X1,X2),sK2503(X0,X1,X2),sK2504(X0,X1,X2))),extend4730790105801354508finity(extended_enat))) & vEBT_Node(sK2501(X0,X1,X2),sK2502(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_ajr(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2502(X0,X1,X2))),sK2503(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2504(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2501(X0,X1,X2),sK2502(X0,X1,X2),sK2503(X0,X1,X2),sK2504(X0,X1,X2)) = X2) | ~sP338(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2501,sK2502,sK2503,sK2504])],[f32978,f32979])).
% 26.16/4.99 tff(f32979,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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_ajr(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),aa(vEBT_VEBT,fun(extended_enat,product_prod(vEBT_VEBT,extended_enat)),product_Pair(vEBT_VEBT,extended_enat),vEBT_Node(sK2501(X0,X1,X2),sK2502(X0,X1,X2),sK2503(X0,X1,X2),sK2504(X0,X1,X2))),extend4730790105801354508finity(extended_enat))) & vEBT_Node(sK2501(X0,X1,X2),sK2502(X0,X1,X2),aa(list(vEBT_VEBT),list(vEBT_VEBT),map(vEBT_VEBT,vEBT_VEBT,aTP_Lamp_ajr(nat,fun(vEBT_VEBT,vEBT_VEBT),sK2502(X0,X1,X2))),sK2503(X0,X1,X2)),vEBT_VEBT_elim_dead(sK2504(X0,X1,X2),extend4730790105801354508finity(extended_enat))) = X0 & extend4730790105801354508finity(extended_enat) = X1 & vEBT_Node(sK2501(X0,X1,X2),sK2502(X0,X1,X2),sK2503(X0,X1,X2),sK2504(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32978,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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_ajr(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) | ~sP338(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f32977])).
% 26.16/4.99 tff(f32977,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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_ajr(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) | ~sP338(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27902])).
% 26.16/4.99 tff(f27902,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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_ajr(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) | ~sP338(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP338])])).
% 26.16/4.99 tff(f73131,plain,(
% 26.16/4.99 spl4009_1249),
% 26.16/4.99 inference(avatar_split_clause,[],[f47699,f73129])).
% 26.16/4.99 tff(f73129,plain,(
% 26.16/4.99 spl4009_1249 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(vEBT_vebt_delete(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1249])])).
% 26.16/4.99 tff(f47699,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(vEBT_vebt_delete(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24720])).
% 26.16/4.99 tff(f24720,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(vEBT_vebt_delete(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1))),
% 26.16/4.99 inference(ennf_transformation,[],[f15945])).
% 26.16/4.99 tff(f15945,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => vEBT_invar_vebt(vEBT_vebt_delete(X0,X2),X1))),
% 26.16/4.99 inference(rectify,[],[f281])).
% 26.16/4.99 tff(f281,axiom,(
% 26.16/4.99 ! [X36 : vEBT_VEBT,X35 : nat,X25 : nat] : (vEBT_invar_vebt(X36,X35) => vEBT_invar_vebt(vEBT_vebt_delete(X36,X25),X35))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_delete__pres__valid)).
% 26.16/4.99 tff(f73127,plain,(
% 26.16/4.99 spl4009_1248),
% 26.16/4.99 inference(avatar_split_clause,[],[f47698,f73125])).
% 26.16/4.99 tff(f73125,plain,(
% 26.16/4.99 spl4009_1248 <=> ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(vEBT_VEBT_insert(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1248])])).
% 26.16/4.99 tff(f47698,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(vEBT_VEBT_insert(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24719])).
% 26.16/4.99 tff(f24719,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(vEBT_VEBT_insert(X0,X2),X1) | ~vEBT_invar_vebt(X0,X1))),
% 26.16/4.99 inference(ennf_transformation,[],[f15944])).
% 26.16/4.99 tff(f15944,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat,X2 : nat] : (vEBT_invar_vebt(X0,X1) => vEBT_invar_vebt(vEBT_VEBT_insert(X0,X2),X1))),
% 26.16/4.99 inference(rectify,[],[f22])).
% 26.16/4.99 tff(f22,axiom,(
% 26.16/4.99 ! [X36 : vEBT_VEBT,X35 : nat,X25 : nat] : (vEBT_invar_vebt(X36,X35) => vEBT_invar_vebt(vEBT_VEBT_insert(X36,X25),X35))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_insert_H__pres__valid)).
% 26.16/4.99 tff(f73123,plain,(
% 26.16/4.99 spl4009_1247 | ~spl4009_74 | ~spl4009_785),
% 26.16/4.99 inference(avatar_split_clause,[],[f71176,f70874,f67396,f73120])).
% 26.16/4.99 tff(f73120,plain,(
% 26.16/4.99 spl4009_1247 <=> sP84(complex)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1247])])).
% 26.16/4.99 tff(f67396,plain,(
% 26.16/4.99 spl4009_74 <=> real_V822414075346904944vector(complex)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_74])])).
% 26.16/4.99 tff(f71176,plain,(
% 26.16/4.99 sP84(complex) | (~spl4009_74 | ~spl4009_785)),
% 26.16/4.99 inference(resolution,[],[f70875,f67398])).
% 26.16/4.99 tff(f67398,plain,(
% 26.16/4.99 real_V822414075346904944vector(complex) | ~spl4009_74),
% 26.16/4.99 inference(avatar_component_clause,[],[f67396])).
% 26.16/4.99 tff(f73118,plain,(
% 26.16/4.99 spl4009_1246),
% 26.16/4.99 inference(avatar_split_clause,[],[f46742,f73116])).
% 26.16/4.99 tff(f73116,plain,(
% 26.16/4.99 spl4009_1246 <=> ! [X0 : $tType,X1 : X0] : ~pp(aa(X0,bool,aTP_Lamp_ai(X0,bool),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1246])])).
% 26.16/4.99 tff(f46742,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : X0] : (~pp(aa(X0,bool,aTP_Lamp_ai(X0,bool),X1))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f15303])).
% 26.16/4.99 tff(f15303,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : X0] : ~pp(aa(X0,bool,aTP_Lamp_ai(X0,bool),X1))),
% 26.16/4.99 inference(flattening,[],[f15302])).
% 26.16/4.99 tff(f15302,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : X0] : ~pp(aa(X0,bool,aTP_Lamp_ai(X0,bool),X1))),
% 26.16/4.99 inference(true_and_false_elimination,[],[f15301])).
% 26.16/4.99 tff(f15301,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aTP_Lamp_ai(X0,bool),X1)) <=> $false)),
% 26.16/4.99 inference(rectify,[],[f9125])).
% 26.16/4.99 tff(f9125,axiom,(
% 26.16/4.99 ! [X0 : $tType,X108 : X0] : (pp(aa(X0,bool,aTP_Lamp_ai(X0,bool),X108)) <=> $false)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9124_ATP_Olambda__944)).
% 26.16/4.99 tff(f73114,plain,(
% 26.16/4.99 spl4009_1245),
% 26.16/4.99 inference(avatar_split_clause,[],[f46741,f73112])).
% 26.16/4.99 tff(f73112,plain,(
% 26.16/4.99 spl4009_1245 <=> ! [X0 : $tType,X1 : X0] : pp(aa(X0,bool,aTP_Lamp_ms(X0,bool),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1245])])).
% 26.16/4.99 tff(f46741,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aTP_Lamp_ms(X0,bool),X1))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f15300])).
% 26.16/4.99 tff(f15300,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : X0] : pp(aa(X0,bool,aTP_Lamp_ms(X0,bool),X1))),
% 26.16/4.99 inference(true_and_false_elimination,[],[f15299])).
% 26.16/4.99 tff(f15299,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : X0] : (pp(aa(X0,bool,aTP_Lamp_ms(X0,bool),X1)) <=> $true)),
% 26.16/4.99 inference(rectify,[],[f9128])).
% 26.16/4.99 tff(f9128,axiom,(
% 26.16/4.99 ! [X0 : $tType,X108 : X0] : (pp(aa(X0,bool,aTP_Lamp_ms(X0,bool),X108)) <=> $true)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9127_ATP_Olambda__947)).
% 26.16/4.99 tff(f73110,plain,(
% 26.16/4.99 spl4009_1244),
% 26.16/4.99 inference(avatar_split_clause,[],[f46710,f73108])).
% 26.16/4.99 tff(f73108,plain,(
% 26.16/4.99 spl4009_1244 <=> ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ~sP323(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1244])])).
% 26.16/4.99 tff(f46710,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) | ~sP323(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32508])).
% 26.16/4.99 tff(f32508,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(list(X0))] : ((distinct(X0,concat(X0,X1)) | ~sP323(X0,X1)) & (sP323(X0,X1) | ~distinct(X0,concat(X0,X1))))),
% 26.16/4.99 inference(nnf_transformation,[],[f27874])).
% 26.16/4.99 tff(f27874,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(list(X0))] : (distinct(X0,concat(X0,X1)) <=> sP323(X0,X1))),
% 26.16/4.99 inference(definition_folding,[],[f24611,f27873,f27872])).
% 26.16/4.99 tff(f27872,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(list(X0))] : (sP322(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)))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP322])])).
% 26.16/4.99 tff(f27873,plain,(
% 26.16/4.99 ! [X1 : list(list(X0)),X0 : $tType] : (sP323(X0,X1) <=> (sP322(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))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP323])])).
% 26.16/4.99 tff(f24611,plain,(
% 26.16/4.99 ! [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))))),
% 26.16/4.99 inference(flattening,[],[f24610])).
% 26.16/4.99 tff(f24610,plain,(
% 26.16/4.99 ! [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))))),
% 26.16/4.99 inference(ennf_transformation,[],[f15285])).
% 26.16/4.99 tff(f15285,plain,(
% 26.16/4.99 ! [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))))),
% 26.16/4.99 inference(rectify,[],[f4253])).
% 26.16/4.99 tff(f4253,axiom,(
% 26.16/4.99 ! [X0 : $tType,X37 : list(list(X0))] : (distinct(X0,concat(X0,X37)) <=> (! [X287 : list(X0),X288 : list(X0)] : ((X287 != X288 & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X288),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X37))) & pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X287),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X37)))) => 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),X287)),aa(list(X0),set(X0),set2(X0),X288))) & ! [X287 : list(X0)] : (pp(aa(set(list(X0)),bool,aa(list(X0),fun(set(list(X0)),bool),member(list(X0)),X287),aa(list(list(X0)),set(list(X0)),set2(list(X0)),X37))) => distinct(X0,X287)) & distinct(list(X0),removeAll(list(X0),nil(X0),X37))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4252_distinct__concat__iff)).
% 26.16/4.99 tff(f73106,plain,(
% 26.16/4.99 spl4009_1243),
% 26.16/4.99 inference(avatar_split_clause,[],[f46709,f73104])).
% 26.16/4.99 tff(f73104,plain,(
% 26.16/4.99 spl4009_1243 <=> ! [X0 : $tType,X1 : list(list(X0))] : (sP323(X0,X1) | ~distinct(X0,concat(X0,X1)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1243])])).
% 26.16/4.99 tff(f46709,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP323(X0,X1) | ~distinct(X0,concat(X0,X1))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32508])).
% 26.16/4.99 tff(f73102,plain,(
% 26.16/4.99 spl4009_1242),
% 26.16/4.99 inference(avatar_split_clause,[],[f46515,f73100])).
% 26.16/4.99 tff(f73100,plain,(
% 26.16/4.99 spl4009_1242 <=> ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK2295(X0,X1)) | distinct(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1242])])).
% 26.16/4.99 tff(f46515,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK2295(X0,X1)) | distinct(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32323])).
% 26.16/4.99 tff(f32323,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),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,sK2295(X0,X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK2296(X0,X1)),sK2297(X0,X1))) = X1 & distinct(X0,sK2295(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2296(X0,X1)),aa(list(X0),set(X0),set2(X0),sK2295(X0,X1))))) | distinct(X0,X1)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2295,sK2296,sK2297])],[f32321,f32322])).
% 26.16/4.99 tff(f32322,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(X0)] : (? [X5 : list(X0),X6 : X0,X7 : list(X0)] : (append(X0,X5,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),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,sK2295(X0,X1),aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),sK2296(X0,X1)),sK2297(X0,X1))) = X1 & distinct(X0,sK2295(X0,X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),sK2296(X0,X1)),aa(list(X0),set(X0),set2(X0),sK2295(X0,X1))))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32321,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),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)))),
% 26.16/4.99 inference(rectify,[],[f32320])).
% 26.16/4.99 tff(f32320,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(X0)] : ((~distinct(X0,X1) | ! [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),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,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),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)))),
% 26.16/4.99 inference(nnf_transformation,[],[f15256])).
% 26.16/4.99 tff(f15256,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,X1) <=> ? [X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),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)))))),
% 26.16/4.99 inference(rectify,[],[f4883])).
% 26.16/4.99 tff(f4883,axiom,(
% 26.16/4.99 ! [X0 : $tType,X338 : list(X0)] : (~distinct(X0,X338) <=> ? [X170 : list(X0),X85 : X0,X287 : list(X0)] : (append(X0,X170,aa(list(X0),list(X0),aa(X0,fun(list(X0),list(X0)),cons(X0),X85),X287)) = X338 & distinct(X0,X170) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X85),aa(list(X0),set(X0),set2(X0),X170)))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4882_not__distinct__conv__prefix)).
% 26.16/4.99 tff(f73098,plain,(
% 26.16/4.99 spl4009_1241),
% 26.16/4.99 inference(avatar_split_clause,[],[f46415,f73096])).
% 26.16/4.99 tff(f73096,plain,(
% 26.16/4.99 spl4009_1241 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~pp(vEBT_VEBT_minNull(X1)) | ~sP299(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1241])])).
% 26.16/4.99 tff(f46415,plain,(
% 26.16/4.99 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~pp(vEBT_VEBT_minNull(X1)) | ~sP299(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32173])).
% 26.16/4.99 tff(f32173,plain,(
% 26.16/4.99 ! [X0 : bool,X1 : vEBT_VEBT] : (((~pp(X0) | ~pp(vEBT_VEBT_minNull(X1))) & (pp(X0) | pp(vEBT_VEBT_minNull(X1)))) | ~sP299(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f32172])).
% 26.16/4.99 tff(f32172,plain,(
% 26.16/4.99 ! [X1 : bool,X0 : vEBT_VEBT] : (((~pp(X1) | ~pp(vEBT_VEBT_minNull(X0))) & (pp(X1) | pp(vEBT_VEBT_minNull(X0)))) | ~sP299(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27841])).
% 26.16/4.99 tff(f27841,plain,(
% 26.16/4.99 ! [X1 : bool,X0 : vEBT_VEBT] : ((pp(vEBT_VEBT_minNull(X0)) <~> pp(X1)) | ~sP299(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP299])])).
% 26.16/4.99 tff(f73094,plain,(
% 26.16/4.99 spl4009_1240),
% 26.16/4.99 inference(avatar_split_clause,[],[f46414,f73092])).
% 26.16/4.99 tff(f73092,plain,(
% 26.16/4.99 spl4009_1240 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | pp(vEBT_VEBT_minNull(X1)) | ~sP299(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1240])])).
% 26.16/4.99 tff(f46414,plain,(
% 26.16/4.99 ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | pp(vEBT_VEBT_minNull(X1)) | ~sP299(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32173])).
% 26.16/4.99 tff(f73090,plain,(
% 26.16/4.99 spl4009_1239),
% 26.16/4.99 inference(avatar_split_clause,[],[f46286,f73088])).
% 26.16/4.99 tff(f73088,plain,(
% 26.16/4.99 spl4009_1239 <=> ! [X1 : $tType,X0 : $tType] : (finite_finite(fun(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1239])])).
% 26.16/4.99 tff(f46286,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (finite_finite(fun(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24410])).
% 26.16/4.99 tff(f24410,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (finite_finite(fun(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0))),
% 26.16/4.99 inference(flattening,[],[f24409])).
% 26.16/4.99 tff(f24409,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (finite_finite(fun(X0,X1)) | (~finite_finite(X1) | ~finite_finite(X0)))),
% 26.16/4.99 inference(ennf_transformation,[],[f15154])).
% 26.16/4.99 tff(f15154,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((finite_finite(X1) & finite_finite(X0)) => finite_finite(fun(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f9148])).
% 26.16/4.99 tff(f9148,axiom,(
% 26.16/4.99 ! [X341 : $tType,X518 : $tType] : ((finite_finite(X518) & finite_finite(X341)) => finite_finite(fun(X341,X518)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Finite__Set_Ofinite)).
% 26.16/4.99 tff(f73086,plain,(
% 26.16/4.99 spl4009_1238),
% 26.16/4.99 inference(avatar_split_clause,[],[f46285,f73084])).
% 26.16/4.99 tff(f73084,plain,(
% 26.16/4.99 spl4009_1238 <=> ! [X1 : $tType,X0 : $tType] : (finite_finite(product_prod(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1238])])).
% 26.16/4.99 tff(f46285,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (finite_finite(product_prod(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24408])).
% 26.16/4.99 tff(f24408,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (finite_finite(product_prod(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0))),
% 26.16/4.99 inference(flattening,[],[f24407])).
% 26.16/4.99 tff(f24407,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (finite_finite(product_prod(X0,X1)) | (~finite_finite(X1) | ~finite_finite(X0)))),
% 26.16/4.99 inference(ennf_transformation,[],[f15153])).
% 26.16/4.99 tff(f15153,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((finite_finite(X1) & finite_finite(X0)) => finite_finite(product_prod(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f9791])).
% 26.16/4.99 tff(f9791,axiom,(
% 26.16/4.99 ! [X341 : $tType,X518 : $tType] : ((finite_finite(X518) & finite_finite(X341)) => finite_finite(product_prod(X341,X518)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Finite__Set_Ofinite_499)).
% 26.16/4.99 tff(f73082,plain,(
% 26.16/4.99 spl4009_1237),
% 26.16/4.99 inference(avatar_split_clause,[],[f46284,f73080])).
% 26.16/4.99 tff(f73080,plain,(
% 26.16/4.99 spl4009_1237 <=> ! [X1 : $tType,X0 : $tType] : (finite_finite(sum_sum(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1237])])).
% 26.16/4.99 tff(f46284,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (finite_finite(sum_sum(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24406])).
% 26.16/4.99 tff(f24406,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (finite_finite(sum_sum(X0,X1)) | ~finite_finite(X1) | ~finite_finite(X0))),
% 26.16/4.99 inference(flattening,[],[f24405])).
% 26.16/4.99 tff(f24405,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (finite_finite(sum_sum(X0,X1)) | (~finite_finite(X1) | ~finite_finite(X0)))),
% 26.16/4.99 inference(ennf_transformation,[],[f15152])).
% 26.16/4.99 tff(f15152,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((finite_finite(X1) & finite_finite(X0)) => finite_finite(sum_sum(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f9629])).
% 26.16/4.99 tff(f9629,axiom,(
% 26.16/4.99 ! [X341 : $tType,X518 : $tType] : ((finite_finite(X518) & finite_finite(X341)) => finite_finite(sum_sum(X341,X518)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Sum__Type_Osum___Finite__Set_Ofinite_338)).
% 26.16/4.99 tff(f73078,plain,(
% 26.16/4.99 spl4009_1236 | ~spl4009_69 | ~spl4009_784),
% 26.16/4.99 inference(avatar_split_clause,[],[f71175,f70870,f67371,f73075])).
% 26.16/4.99 tff(f73075,plain,(
% 26.16/4.99 spl4009_1236 <=> sP82(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1236])])).
% 26.16/4.99 tff(f67371,plain,(
% 26.16/4.99 spl4009_69 <=> linordered_field(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_69])])).
% 26.16/4.99 tff(f70870,plain,(
% 26.16/4.99 spl4009_784 <=> ! [X0 : $tType] : (sP82(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_784])])).
% 26.16/4.99 tff(f71175,plain,(
% 26.16/4.99 sP82(real) | (~spl4009_69 | ~spl4009_784)),
% 26.16/4.99 inference(resolution,[],[f70871,f67373])).
% 26.16/4.99 tff(f67373,plain,(
% 26.16/4.99 linordered_field(real) | ~spl4009_69),
% 26.16/4.99 inference(avatar_component_clause,[],[f67371])).
% 26.16/4.99 tff(f70871,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP82(X0)) ) | ~spl4009_784),
% 26.16/4.99 inference(avatar_component_clause,[],[f70870])).
% 26.16/4.99 tff(f73073,plain,(
% 26.16/4.99 spl4009_1235),
% 26.16/4.99 inference(avatar_split_clause,[],[f46263,f73071])).
% 26.16/4.99 tff(f73071,plain,(
% 26.16/4.99 spl4009_1235 <=> ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1235])])).
% 26.16/4.99 tff(f46263,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24378])).
% 26.16/4.99 tff(f24378,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | ~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 inference(flattening,[],[f24377])).
% 26.16/4.99 tff(f24377,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(product_prod(X0,X1)) | (~topolo4958980785337419405_space(X1) | ~topolo4958980785337419405_space(X0)))),
% 26.16/4.99 inference(ennf_transformation,[],[f15135])).
% 26.16/4.99 tff(f15135,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((topolo4958980785337419405_space(X1) & topolo4958980785337419405_space(X0)) => topolo4958980785337419405_space(product_prod(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f9788])).
% 26.16/4.99 tff(f9788,axiom,(
% 26.16/4.99 ! [X341 : $tType,X518 : $tType] : ((topolo4958980785337419405_space(X518) & topolo4958980785337419405_space(X341)) => topolo4958980785337419405_space(product_prod(X341,X518)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Topological__Spaces_Otopological__space_496)).
% 26.16/4.99 tff(f73069,plain,(
% 26.16/4.99 spl4009_1234),
% 26.16/4.99 inference(avatar_split_clause,[],[f46256,f73067])).
% 26.16/4.99 tff(f73067,plain,(
% 26.16/4.99 spl4009_1234 <=> ! [X1 : $tType,X0 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1234])])).
% 26.16/4.99 tff(f46256,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24370])).
% 26.16/4.99 tff(f24370,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (topological_t2_space(product_prod(X0,X1)) | ~topological_t2_space(X1) | ~topological_t2_space(X0))),
% 26.16/4.99 inference(flattening,[],[f24369])).
% 26.16/4.99 tff(f24369,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (topological_t2_space(product_prod(X0,X1)) | (~topological_t2_space(X1) | ~topological_t2_space(X0)))),
% 26.16/4.99 inference(ennf_transformation,[],[f15130])).
% 26.16/4.99 tff(f15130,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((topological_t2_space(X1) & topological_t2_space(X0)) => topological_t2_space(product_prod(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f9789])).
% 26.16/4.99 tff(f9789,axiom,(
% 26.16/4.99 ! [X341 : $tType,X518 : $tType] : ((topological_t2_space(X518) & topological_t2_space(X341)) => topological_t2_space(product_prod(X341,X518)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Topological__Spaces_Ot2__space_497)).
% 26.16/4.99 tff(f73065,plain,(
% 26.16/4.99 spl4009_1233),
% 26.16/4.99 inference(avatar_split_clause,[],[f46248,f73063])).
% 26.16/4.99 tff(f73063,plain,(
% 26.16/4.99 spl4009_1233 <=> ! [X1 : $tType,X0 : $tType] : (topological_t1_space(product_prod(X0,X1)) | ~topological_t1_space(X1) | ~topological_t1_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1233])])).
% 26.16/4.99 tff(f46248,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (topological_t1_space(product_prod(X0,X1)) | ~topological_t1_space(X1) | ~topological_t1_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f24354])).
% 26.16/4.99 tff(f24354,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (topological_t1_space(product_prod(X0,X1)) | ~topological_t1_space(X1) | ~topological_t1_space(X0))),
% 26.16/4.99 inference(flattening,[],[f24353])).
% 26.16/4.99 tff(f24353,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (topological_t1_space(product_prod(X0,X1)) | (~topological_t1_space(X1) | ~topological_t1_space(X0)))),
% 26.16/4.99 inference(ennf_transformation,[],[f15122])).
% 26.16/4.99 tff(f15122,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((topological_t1_space(X1) & topological_t1_space(X0)) => topological_t1_space(product_prod(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f9790])).
% 26.16/4.99 tff(f9790,axiom,(
% 26.16/4.99 ! [X341 : $tType,X518 : $tType] : ((topological_t1_space(X518) & topological_t1_space(X341)) => topological_t1_space(product_prod(X341,X518)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Topological__Spaces_Ot1__space_498)).
% 26.16/4.99 tff(f73061,plain,(
% 26.16/4.99 spl4009_1232),
% 26.16/4.99 inference(avatar_split_clause,[],[f45789,f73059])).
% 26.16/4.99 tff(f73059,plain,(
% 26.16/4.99 spl4009_1232 <=> ! [X0 : list(nat),X1 : nat] : (nil(nat) = X0 | ~sP277(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1232])])).
% 26.16/4.99 tff(f45789,plain,(
% 26.16/4.99 ( ! [X0 : list(nat),X1 : nat] : (nil(nat) = X0 | ~sP277(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31848])).
% 26.16/4.99 tff(f73057,plain,(
% 26.16/4.99 spl4009_1231),
% 26.16/4.99 inference(avatar_split_clause,[],[f45756,f73055])).
% 26.16/4.99 tff(f73055,plain,(
% 26.16/4.99 spl4009_1231 <=> ! [X0 : nat,X1 : list(nat)] : (nil(nat) = X1 | ~sP276(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1231])])).
% 26.16/4.99 tff(f45756,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : list(nat)] : (nil(nat) = X1 | ~sP276(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31828])).
% 26.16/4.99 tff(f31828,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : list(nat)] : ((accp(list(nat),nat_list_encode_rel,nil(nat)) & zero_zero(nat) = X0 & nil(nat) = X1) | ~sP276(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31827])).
% 26.16/4.99 tff(f31827,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : list(nat)] : ((accp(list(nat),nat_list_encode_rel,nil(nat)) & zero_zero(nat) = X1 & nil(nat) = X0) | ~sP276(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27805])).
% 26.16/4.99 tff(f27805,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : list(nat)] : ((accp(list(nat),nat_list_encode_rel,nil(nat)) & zero_zero(nat) = X1 & nil(nat) = X0) | ~sP276(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP276])])).
% 26.16/4.99 tff(f73053,plain,(
% 26.16/4.99 spl4009_1230),
% 26.16/4.99 inference(avatar_split_clause,[],[f45720,f73051])).
% 26.16/4.99 tff(f73051,plain,(
% 26.16/4.99 spl4009_1230 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP270(X0,sK2017(X0,X1)) | ~sP272(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1230])])).
% 26.16/4.99 tff(f45720,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP270(X0,sK2017(X0,X1)) | ~sP272(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31796])).
% 26.16/4.99 tff(f31796,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP270(X0,sK2017(X0,X1)) & (pp(sK2016(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2016(X0,X1),sK2017(X0,X1))),X0)) & vEBT_Leaf(sK2016(X0,X1),sK2017(X0,X1)) = X1) | ~sP272(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2016,sK2017])],[f31794,f31795])).
% 26.16/4.99 tff(f31795,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP270(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) => (sP270(X0,sK2017(X0,X1)) & (pp(sK2016(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2016(X0,X1),sK2017(X0,X1))),X0)) & vEBT_Leaf(sK2016(X0,X1),sK2017(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31794,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP270(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) | ~sP272(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31793])).
% 26.16/4.99 tff(f31793,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP270(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP272(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27798])).
% 26.16/4.99 tff(f27798,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP270(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP272(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP272])])).
% 26.16/4.99 tff(f73049,plain,(
% 26.16/4.99 spl4009_1229),
% 26.16/4.99 inference(avatar_split_clause,[],[f45686,f73047])).
% 26.16/4.99 tff(f73047,plain,(
% 26.16/4.99 spl4009_1229 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1994(X0,X1) != X0 | ~sP267(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1229])])).
% 26.16/4.99 tff(f45686,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1994(X0,X1) != X0 | ~sP267(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31762])).
% 26.16/4.99 tff(f31762,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP266(sK1996(X0,X1),sK1995(X0,X1),X0,sK1994(X0,X1),sK1993(X0,X1)) & sK1994(X0,X1) != X0 & sK1993(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1993(X0,X1)),sK1994(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1995(X0,X1))),sK1996(X0,X1),sK1997(X0,X1)) = X1) | ~sP267(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1993,sK1994,sK1995,sK1996,sK1997])],[f31759,f31761,f31760])).
% 26.16/4.99 tff(f31760,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP266(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) => (sP266(sK1996(X0,X1),sK1995(X0,X1),X0,sK1994(X0,X1),sK1993(X0,X1)) & sK1994(X0,X1) != X0 & sK1993(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1993(X0,X1)),sK1994(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1995(X0,X1))),sK1996(X0,X1),X6) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31761,plain,(
% 26.16/4.99 ! [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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1993(X0,X1)),sK1994(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1995(X0,X1))),sK1996(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1993(X0,X1)),sK1994(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1995(X0,X1))),sK1996(X0,X1),sK1997(X0,X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31759,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP266(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) | ~sP267(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31758])).
% 26.16/4.99 tff(f31758,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (sP266(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP267(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27790])).
% 26.16/4.99 tff(f27790,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT)] : (sP266(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP267(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP267])])).
% 26.16/4.99 tff(f73045,plain,(
% 26.16/4.99 spl4009_1228),
% 26.16/4.99 inference(avatar_split_clause,[],[f45685,f73043])).
% 26.16/4.99 tff(f73043,plain,(
% 26.16/4.99 spl4009_1228 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1993(X0,X1) != X0 | ~sP267(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1228])])).
% 26.16/4.99 tff(f45685,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1993(X0,X1) != X0 | ~sP267(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31762])).
% 26.16/4.99 tff(f73041,plain,(
% 26.16/4.99 spl4009_1227),
% 26.16/4.99 inference(avatar_split_clause,[],[f45671,f73039])).
% 26.16/4.99 tff(f73039,plain,(
% 26.16/4.99 spl4009_1227 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1983(X0,X1) != X0 | ~sP262(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1227])])).
% 26.16/4.99 tff(f45671,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1983(X0,X1) != X0 | ~sP262(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31749])).
% 26.16/4.99 tff(f31749,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP261(sK1985(X0,X1),sK1984(X0,X1),X0,sK1983(X0,X1),sK1982(X0,X1)) & sK1983(X0,X1) != X0 & sK1982(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1982(X0,X1)),sK1983(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1984(X0,X1))),sK1985(X0,X1),sK1986(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1982(X0,X1)),sK1983(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1984(X0,X1))),sK1985(X0,X1),sK1986(X0,X1)) = X1) | ~sP262(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1982,sK1983,sK1984,sK1985,sK1986])],[f31747,f31748])).
% 26.16/4.99 tff(f31748,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP261(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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) => (sP261(sK1985(X0,X1),sK1984(X0,X1),X0,sK1983(X0,X1),sK1982(X0,X1)) & sK1983(X0,X1) != X0 & sK1982(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1982(X0,X1)),sK1983(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1984(X0,X1))),sK1985(X0,X1),sK1986(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1982(X0,X1)),sK1983(X0,X1))),aa(nat,nat,suc,aa(nat,nat,suc,sK1984(X0,X1))),sK1985(X0,X1),sK1986(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31747,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP261(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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,aa(nat,nat,suc,X4)),X5,X6) = X1) | ~sP262(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31746])).
% 26.16/4.99 tff(f31746,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (sP261(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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP262(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27784])).
% 26.16/4.99 tff(f27784,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X13 : nat,X14 : nat,X15 : nat,X16 : list(vEBT_VEBT),X17 : vEBT_VEBT] : (sP261(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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X13),X14)),aa(nat,nat,suc,aa(nat,nat,suc,X15)),X16,X17) = X0) | ~sP262(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP262])])).
% 26.16/4.99 tff(f73037,plain,(
% 26.16/4.99 spl4009_1226),
% 26.16/4.99 inference(avatar_split_clause,[],[f45670,f73035])).
% 26.16/4.99 tff(f73035,plain,(
% 26.16/4.99 spl4009_1226 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1982(X0,X1) != X0 | ~sP262(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1226])])).
% 26.16/4.99 tff(f45670,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1982(X0,X1) != X0 | ~sP262(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31749])).
% 26.16/4.99 tff(f73033,plain,(
% 26.16/4.99 spl4009_1225 | ~spl4009_68 | ~spl4009_784),
% 26.16/4.99 inference(avatar_split_clause,[],[f71174,f70870,f67366,f73030])).
% 26.16/4.99 tff(f73030,plain,(
% 26.16/4.99 spl4009_1225 <=> sP82(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1225])])).
% 26.16/4.99 tff(f67366,plain,(
% 26.16/4.99 spl4009_68 <=> linordered_field(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_68])])).
% 26.16/4.99 tff(f71174,plain,(
% 26.16/4.99 sP82(rat) | (~spl4009_68 | ~spl4009_784)),
% 26.16/4.99 inference(resolution,[],[f70871,f67368])).
% 26.16/4.99 tff(f67368,plain,(
% 26.16/4.99 linordered_field(rat) | ~spl4009_68),
% 26.16/4.99 inference(avatar_component_clause,[],[f67366])).
% 26.16/4.99 tff(f73028,plain,(
% 26.16/4.99 spl4009_1224),
% 26.16/4.99 inference(avatar_split_clause,[],[f45622,f73026])).
% 26.16/4.99 tff(f73026,plain,(
% 26.16/4.99 spl4009_1224 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP258(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1224])])).
% 26.16/4.99 tff(f45622,plain,(
% 26.16/4.99 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP258(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31709])).
% 26.16/4.99 tff(f31709,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_vebt_mint_rel,vEBT_Node(none(product_prod(nat,nat)),sK1951(X0,X1),sK1952(X0,X1),sK1953(X0,X1))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1951(X0,X1),sK1952(X0,X1),sK1953(X0,X1)) = X1) | ~sP258(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1951,sK1952,sK1953])],[f31707,f31708])).
% 26.16/4.99 tff(f31708,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_mint_rel,vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4)) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (accp(vEBT_VEBT,vEBT_vebt_mint_rel,vEBT_Node(none(product_prod(nat,nat)),sK1951(X0,X1),sK1952(X0,X1),sK1953(X0,X1))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1951(X0,X1),sK1952(X0,X1),sK1953(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31707,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_mint_rel,vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4)) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP258(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31706])).
% 26.16/4.99 tff(f31706,plain,(
% 26.16/4.99 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_mint_rel,vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6)) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP258(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27778])).
% 26.16/4.99 tff(f27778,plain,(
% 26.16/4.99 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_mint_rel,vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6)) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP258(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP258])])).
% 26.16/4.99 tff(f73024,plain,(
% 26.16/4.99 spl4009_1223),
% 26.16/4.99 inference(avatar_split_clause,[],[f45602,f73022])).
% 26.16/4.99 tff(f73022,plain,(
% 26.16/4.99 spl4009_1223 <=> ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP254(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1223])])).
% 26.16/4.99 tff(f45602,plain,(
% 26.16/4.99 ( ! [X0 : option(nat),X1 : vEBT_VEBT] : (none(nat) = X0 | ~sP254(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31687])).
% 26.16/4.99 tff(f31687,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_vebt_maxt_rel,vEBT_Node(none(product_prod(nat,nat)),sK1931(X0,X1),sK1932(X0,X1),sK1933(X0,X1))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1931(X0,X1),sK1932(X0,X1),sK1933(X0,X1)) = X1) | ~sP254(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1931,sK1932,sK1933])],[f31685,f31686])).
% 26.16/4.99 tff(f31686,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_maxt_rel,vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4)) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) => (accp(vEBT_VEBT,vEBT_vebt_maxt_rel,vEBT_Node(none(product_prod(nat,nat)),sK1931(X0,X1),sK1932(X0,X1),sK1933(X0,X1))) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1931(X0,X1),sK1932(X0,X1),sK1933(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31685,plain,(
% 26.16/4.99 ! [X0 : option(nat),X1 : vEBT_VEBT] : (? [X2 : nat,X3 : list(vEBT_VEBT),X4 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_maxt_rel,vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4)) & none(nat) = X0 & vEBT_Node(none(product_prod(nat,nat)),X2,X3,X4) = X1) | ~sP254(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31684])).
% 26.16/4.99 tff(f31684,plain,(
% 26.16/4.99 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_maxt_rel,vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6)) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP254(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27772])).
% 26.16/4.99 tff(f27772,plain,(
% 26.16/4.99 ! [X1 : option(nat),X0 : vEBT_VEBT] : (? [X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (accp(vEBT_VEBT,vEBT_vebt_maxt_rel,vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6)) & none(nat) = X1 & vEBT_Node(none(product_prod(nat,nat)),X4,X5,X6) = X0) | ~sP254(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP254])])).
% 26.16/4.99 tff(f73020,plain,(
% 26.16/4.99 spl4009_1222),
% 26.16/4.99 inference(avatar_split_clause,[],[f45526,f73018])).
% 26.16/4.99 tff(f73018,plain,(
% 26.16/4.99 spl4009_1222 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1913(X0,X1) = X0 | ~sP243(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1222])])).
% 26.16/4.99 tff(f45526,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1913(X0,X1) = X0 | ~sP243(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31641])).
% 26.16/4.99 tff(f31641,plain,(
% 26.16/4.99 ! [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),sK1909(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1911(X0,X1)),X9)) & sK1913(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1910(X0,X1)),sK1912(X0,X1)) & sK1910(X0,X1) = sK1912(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1909(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1912(X0,X1)) & vEBT_invar_vebt(sK1911(X0,X1),sK1912(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1910(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),sK1909(X0,X1))))) & sK1913(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1913(X0,X1),sK1909(X0,X1),sK1911(X0,X1)) = X1) | ~sP243(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1909,sK1910,sK1911,sK1912,sK1913])],[f31639,f31640])).
% 26.16/4.99 tff(f31640,plain,(
% 26.16/4.99 ! [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),aa(num,num,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),sK1909(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1911(X0,X1)),X9)) & sK1913(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1910(X0,X1)),sK1912(X0,X1)) & sK1910(X0,X1) = sK1912(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1909(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1912(X0,X1)) & vEBT_invar_vebt(sK1911(X0,X1),sK1912(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1910(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),sK1909(X0,X1))))) & sK1913(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1913(X0,X1),sK1909(X0,X1),sK1911(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31639,plain,(
% 26.16/4.99 ! [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),aa(num,num,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) | ~sP243(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31638])).
% 26.16/4.99 tff(f31638,plain,(
% 26.16/4.99 ! [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(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),aa(num,num,bit0,one2))),X7) & 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) | ~sP243(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27756])).
% 26.16/4.99 tff(f27756,plain,(
% 26.16/4.99 ! [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(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),aa(num,num,bit0,one2))),X7) & 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) | ~sP243(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP243])])).
% 26.16/4.99 tff(f73016,plain,(
% 26.16/4.99 spl4009_1221),
% 26.16/4.99 inference(avatar_split_clause,[],[f45517,f73014])).
% 26.16/4.99 tff(f73014,plain,(
% 26.16/4.99 spl4009_1221 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1908(X0,X1) = X0 | ~sP244(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1221])])).
% 26.16/4.99 tff(f45517,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1908(X0,X1) = X0 | ~sP244(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31637])).
% 26.16/4.99 tff(f31637,plain,(
% 26.16/4.99 ! [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),sK1904(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1906(X0,X1)),X9)) & sK1908(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1905(X0,X1)),sK1907(X0,X1)) & sK1907(X0,X1) = aa(nat,nat,suc,sK1905(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1904(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1907(X0,X1)) & vEBT_invar_vebt(sK1906(X0,X1),sK1907(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1905(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),sK1904(X0,X1))))) & sK1908(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1908(X0,X1),sK1904(X0,X1),sK1906(X0,X1)) = X1) | ~sP244(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1904,sK1905,sK1906,sK1907,sK1908])],[f31635,f31636])).
% 26.16/4.99 tff(f31636,plain,(
% 26.16/4.99 ! [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),aa(num,num,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),sK1904(X0,X1))))) & ! [X9 : nat] : ~pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK1906(X0,X1)),X9)) & sK1908(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1905(X0,X1)),sK1907(X0,X1)) & sK1907(X0,X1) = aa(nat,nat,suc,sK1905(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1904(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1907(X0,X1)) & vEBT_invar_vebt(sK1906(X0,X1),sK1907(X0,X1)) & ! [X10 : vEBT_VEBT] : (vEBT_invar_vebt(X10,sK1905(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),sK1904(X0,X1))))) & sK1908(X0,X1) = X0 & vEBT_Node(none(product_prod(nat,nat)),sK1908(X0,X1),sK1904(X0,X1),sK1906(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31635,plain,(
% 26.16/4.99 ! [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),aa(num,num,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) | ~sP244(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31634])).
% 26.16/4.99 tff(f31634,plain,(
% 26.16/4.99 ! [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(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X16) & 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) | ~sP244(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27757])).
% 26.16/4.99 tff(f27757,plain,(
% 26.16/4.99 ! [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(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X13) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X16) & 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) | ~sP244(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP244])])).
% 26.16/4.99 tff(f73012,plain,(
% 26.16/4.99 spl4009_1220),
% 26.16/4.99 inference(avatar_split_clause,[],[f45505,f73010])).
% 26.16/4.99 tff(f73010,plain,(
% 26.16/4.99 spl4009_1220 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1901(X0,X1) = X0 | ~sP245(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1220])])).
% 26.16/4.99 tff(f45505,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1901(X0,X1) = X0 | ~sP245(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31633])).
% 26.16/4.99 tff(f31633,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP239(sK1903(X0,X1),sK1902(X0,X1),sK1898(X0,X1),sK1897(X0,X1),sK1900(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1903(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1901(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1902(X0,X1)),sK1903(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),sK1897(X0,X1))))) | sK1902(X0,X1) != sK1903(X0,X1)) & sP240(sK1899(X0,X1),sK1897(X0,X1),sK1900(X0,X1)) & sK1901(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1898(X0,X1)),sK1900(X0,X1)) & sK1898(X0,X1) = sK1900(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1897(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1900(X0,X1)) & vEBT_invar_vebt(sK1899(X0,X1),sK1900(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1898(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),sK1897(X0,X1))))) & sK1901(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1902(X0,X1)),sK1903(X0,X1))),sK1901(X0,X1),sK1897(X0,X1),sK1899(X0,X1)) = X1) | ~sP245(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1897,sK1898,sK1899,sK1900,sK1901,sK1902,sK1903])],[f31631,f31632])).
% 26.16/4.99 tff(f31632,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP239(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),aa(num,num,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) & sP240(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) => (sP239(sK1903(X0,X1),sK1902(X0,X1),sK1898(X0,X1),sK1897(X0,X1),sK1900(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1903(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1901(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1902(X0,X1)),sK1903(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),sK1897(X0,X1))))) | sK1902(X0,X1) != sK1903(X0,X1)) & sP240(sK1899(X0,X1),sK1897(X0,X1),sK1900(X0,X1)) & sK1901(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1898(X0,X1)),sK1900(X0,X1)) & sK1898(X0,X1) = sK1900(X0,X1) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1897(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1900(X0,X1)) & vEBT_invar_vebt(sK1899(X0,X1),sK1900(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1898(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),sK1897(X0,X1))))) & sK1901(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1902(X0,X1)),sK1903(X0,X1))),sK1901(X0,X1),sK1897(X0,X1),sK1899(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31631,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP239(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),aa(num,num,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) & sP240(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) | ~sP245(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31630])).
% 26.16/4.99 tff(f31630,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X22 : list(vEBT_VEBT),X23 : nat,X24 : vEBT_VEBT,X25 : nat,X26 : nat,X27 : nat,X28 : nat] : (sP239(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),aa(num,num,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) & sP240(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X27),X28)),X26,X22,X24) = X0) | ~sP245(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27758])).
% 26.16/4.99 tff(f27758,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X22 : list(vEBT_VEBT),X23 : nat,X24 : vEBT_VEBT,X25 : nat,X26 : nat,X27 : nat,X28 : nat] : (sP239(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),aa(num,num,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) & sP240(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X27),X28)),X26,X22,X24) = X0) | ~sP245(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP245])])).
% 26.16/4.99 tff(f73008,plain,(
% 26.16/4.99 spl4009_1219),
% 26.16/4.99 inference(avatar_split_clause,[],[f45493,f73006])).
% 26.16/4.99 tff(f73006,plain,(
% 26.16/4.99 spl4009_1219 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1894(X0,X1) = X0 | ~sP246(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1219])])).
% 26.16/4.99 tff(f45493,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1894(X0,X1) = X0 | ~sP246(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31629])).
% 26.16/4.99 tff(f31629,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP241(sK1896(X0,X1),sK1895(X0,X1),sK1891(X0,X1),sK1890(X0,X1),sK1893(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1896(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1894(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1895(X0,X1)),sK1896(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),sK1890(X0,X1))))) | sK1895(X0,X1) != sK1896(X0,X1)) & sP242(sK1892(X0,X1),sK1890(X0,X1),sK1893(X0,X1)) & sK1894(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1891(X0,X1)),sK1893(X0,X1)) & sK1893(X0,X1) = aa(nat,nat,suc,sK1891(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1890(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1893(X0,X1)) & vEBT_invar_vebt(sK1892(X0,X1),sK1893(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1891(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),sK1890(X0,X1))))) & sK1894(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1895(X0,X1)),sK1896(X0,X1))),sK1894(X0,X1),sK1890(X0,X1),sK1892(X0,X1)) = X1) | ~sP246(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1890,sK1891,sK1892,sK1893,sK1894,sK1895,sK1896])],[f31627,f31628])).
% 26.16/4.99 tff(f31628,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP241(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),aa(num,num,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) & sP242(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) => (sP241(sK1896(X0,X1),sK1895(X0,X1),sK1891(X0,X1),sK1890(X0,X1),sK1893(X0,X1)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK1896(X0,X1)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1894(X0,X1)))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK1895(X0,X1)),sK1896(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),sK1890(X0,X1))))) | sK1895(X0,X1) != sK1896(X0,X1)) & sP242(sK1892(X0,X1),sK1890(X0,X1),sK1893(X0,X1)) & sK1894(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),sK1891(X0,X1)),sK1893(X0,X1)) & sK1893(X0,X1) = aa(nat,nat,suc,sK1891(X0,X1)) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1890(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),sK1893(X0,X1)) & vEBT_invar_vebt(sK1892(X0,X1),sK1893(X0,X1)) & ! [X11 : vEBT_VEBT] : (vEBT_invar_vebt(X11,sK1891(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),sK1890(X0,X1))))) & sK1894(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1895(X0,X1)),sK1896(X0,X1))),sK1894(X0,X1),sK1890(X0,X1),sK1892(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31627,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat,X7 : nat,X8 : nat] : (sP241(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),aa(num,num,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) & sP242(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X7),X8)),X6,X2,X4) = X1) | ~sP246(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31626])).
% 26.16/4.99 tff(f31626,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X36 : list(vEBT_VEBT),X37 : nat,X38 : vEBT_VEBT,X39 : nat,X40 : nat,X41 : nat,X42 : nat] : (sP241(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),aa(num,num,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) & sP242(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X41),X42)),X40,X36,X38) = X0) | ~sP246(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27759])).
% 26.16/4.99 tff(f27759,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X36 : list(vEBT_VEBT),X37 : nat,X38 : vEBT_VEBT,X39 : nat,X40 : nat,X41 : nat,X42 : nat] : (sP241(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),aa(num,num,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) & sP242(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X41),X42)),X40,X36,X38) = X0) | ~sP246(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP246])])).
% 26.16/4.99 tff(f73004,plain,(
% 26.16/4.99 spl4009_1218),
% 26.16/4.99 inference(avatar_split_clause,[],[f45446,f73002])).
% 26.16/4.99 tff(f73002,plain,(
% 26.16/4.99 spl4009_1218 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1857(X0,X1) = X0 | ~sP234(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1218])])).
% 26.16/4.99 tff(f45446,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1857(X0,X1) = X0 | ~sP234(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31591])).
% 26.16/4.99 tff(f31591,plain,(
% 26.16/4.99 ! [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,sK1859(X0,X1)))),aa(fun(vEBT_VEBT,bool),bool,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),sK1858(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1857(X0,X1)),sK1858(X0,X1)),sK1859(X0,X1))),sK1856(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1858(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1857(X0,X1)),divide_divide(nat,sK1857(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & vEBT_VEBT_valid(sK1859(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1857(X0,X1)),divide_divide(nat,sK1857(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1857(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),sK1858(X0,X1))))) & sK1857(X0,X1) = X0 & vEBT_Node(sK1856(X0,X1),sK1857(X0,X1),sK1858(X0,X1),sK1859(X0,X1)) = X1) | ~sP234(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1856,sK1857,sK1858,sK1859])],[f31589,f31590])).
% 26.16/4.99 tff(f31590,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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,sK1859(X0,X1)))),aa(fun(vEBT_VEBT,bool),bool,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),sK1858(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1857(X0,X1)),sK1858(X0,X1)),sK1859(X0,X1))),sK1856(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1858(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1857(X0,X1)),divide_divide(nat,sK1857(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & vEBT_VEBT_valid(sK1859(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1857(X0,X1)),divide_divide(nat,sK1857(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1857(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),sK1858(X0,X1))))) & sK1857(X0,X1) = X0 & vEBT_Node(sK1856(X0,X1),sK1857(X0,X1),sK1858(X0,X1),sK1859(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31589,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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) | ~sP234(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31588])).
% 26.16/4.99 tff(f31588,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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) | ~sP234(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27744])).
% 26.16/4.99 tff(f27744,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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) | ~sP234(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP234])])).
% 26.16/4.99 tff(f73000,plain,(
% 26.16/4.99 spl4009_1217),
% 26.16/4.99 inference(avatar_split_clause,[],[f45437,f72998])).
% 26.16/4.99 tff(f72998,plain,(
% 26.16/4.99 spl4009_1217 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1851(X0,X1) = X0 | ~sP233(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1217])])).
% 26.16/4.99 tff(f45437,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1851(X0,X1) = X0 | ~sP233(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31585])).
% 26.16/4.99 tff(f31585,plain,(
% 26.16/4.99 ! [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,sK1853(X0,X1)))),aa(fun(vEBT_VEBT,bool),bool,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),sK1852(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1851(X0,X1)),sK1852(X0,X1)),sK1853(X0,X1))),sK1850(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1852(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1851(X0,X1)),divide_divide(nat,sK1851(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & vEBT_VEBT_valid(sK1853(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1851(X0,X1)),divide_divide(nat,sK1851(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1851(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),sK1852(X0,X1))))) & sK1851(X0,X1) = X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK1850(X0,X1),sK1851(X0,X1),sK1852(X0,X1),sK1853(X0,X1))),X0)) & vEBT_Node(sK1850(X0,X1),sK1851(X0,X1),sK1852(X0,X1),sK1853(X0,X1)) = X1) | ~sP233(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1850,sK1851,sK1852,sK1853])],[f31583,f31584])).
% 26.16/4.99 tff(f31584,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(vEBT_VEBT,fun(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,sK1853(X0,X1)))),aa(fun(vEBT_VEBT,bool),bool,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),sK1852(X0,X1)))),combb(bool,bool,vEBT_VEBT,fNot,combb(fun(nat,bool),bool,vEBT_VEBT,fEx(nat),vEBT_V8194947554948674370ptions))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,fun(nat,fun(nat,bool)))),sK1851(X0,X1)),sK1852(X0,X1)),sK1853(X0,X1))),sK1850(X0,X1))) & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK1852(X0,X1)) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1851(X0,X1)),divide_divide(nat,sK1851(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & vEBT_VEBT_valid(sK1853(X0,X1),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),sK1851(X0,X1)),divide_divide(nat,sK1851(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,sK1851(X0,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),sK1852(X0,X1))))) & sK1851(X0,X1) = X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK1850(X0,X1),sK1851(X0,X1),sK1852(X0,X1),sK1853(X0,X1))),X0)) & vEBT_Node(sK1850(X0,X1),sK1851(X0,X1),sK1852(X0,X1),sK1853(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31583,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X3),divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X6 : vEBT_VEBT] : (vEBT_VEBT_valid(X6,divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(vEBT_VEBT,fun(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) | ~sP233(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31582])).
% 26.16/4.99 tff(f31582,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(vEBT_VEBT,fun(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) | ~sP233(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27742])).
% 26.16/4.99 tff(f27742,plain,(
% 26.16/4.99 ! [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))),aa(fun(vEBT_VEBT,bool),bool,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))))),aa(fun(nat,fun(nat,bool)),fun(product_prod(nat,nat),bool),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_uy(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),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X5),divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))) & ! [X8 : vEBT_VEBT] : (vEBT_VEBT_valid(X8,divide_divide(nat,X5,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(vEBT_VEBT,fun(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) | ~sP233(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP233])])).
% 26.16/4.99 tff(f72996,plain,(
% 26.16/4.99 spl4009_1216),
% 26.16/4.99 inference(avatar_split_clause,[],[f45420,f72994])).
% 26.16/4.99 tff(f72994,plain,(
% 26.16/4.99 spl4009_1216 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sP230(X0,sK1839(X0,X1)) | ~sP231(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1216])])).
% 26.16/4.99 tff(f45420,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sP230(X0,sK1839(X0,X1)) | ~sP231(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31568])).
% 26.16/4.99 tff(f31568,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP230(X0,sK1839(X0,X1)) & (pp(sK1838(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK1838(X0,X1),sK1839(X0,X1))),X0)) & vEBT_Leaf(sK1838(X0,X1),sK1839(X0,X1)) = X1) | ~sP231(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1838,sK1839])],[f31566,f31567])).
% 26.16/4.99 tff(f31567,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP230(X0,X3) & (pp(X2) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) => (sP230(X0,sK1839(X0,X1)) & (pp(sK1838(X0,X1)) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK1838(X0,X1),sK1839(X0,X1))),X0)) & vEBT_Leaf(sK1838(X0,X1),sK1839(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31566,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP230(X0,X3) & (pp(X2) | zero_zero(nat) != X0) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X0)) & vEBT_Leaf(X2,X3) = X1) | ~sP231(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31565])).
% 26.16/4.99 tff(f31565,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP230(X1,X3) & (pp(X2) | zero_zero(nat) != X1) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP231(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27738])).
% 26.16/4.99 tff(f27738,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : (sP230(X1,X3) & (pp(X2) | zero_zero(nat) != X1) & accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X2,X3)),X1)) & vEBT_Leaf(X2,X3) = X0) | ~sP231(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP231])])).
% 26.16/4.99 tff(f72992,plain,(
% 26.16/4.99 spl4009_1215),
% 26.16/4.99 inference(avatar_split_clause,[],[f45404,f72990])).
% 26.16/4.99 tff(f72990,plain,(
% 26.16/4.99 spl4009_1215 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1824(X0,X1) != X0 | ~sP228(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1215])])).
% 26.16/4.99 tff(f45404,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1824(X0,X1) != X0 | ~sP228(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31550])).
% 26.16/4.99 tff(f31550,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP227(sK1826(X0,X1),sK1825(X0,X1),X0) & sK1824(X0,X1) != X0 & sK1823(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1823(X0,X1)),sK1824(X0,X1))),aa(nat,nat,suc,sK1825(X0,X1)),sK1826(X0,X1),sK1827(X0,X1)) = X1) | ~sP228(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1823,sK1824,sK1825,sK1826,sK1827])],[f31547,f31549,f31548])).
% 26.16/4.99 tff(f31548,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP227(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) => (sP227(sK1826(X0,X1),sK1825(X0,X1),X0) & sK1824(X0,X1) != X0 & sK1823(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1823(X0,X1)),sK1824(X0,X1))),aa(nat,nat,suc,sK1825(X0,X1)),sK1826(X0,X1),X6) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31549,plain,(
% 26.16/4.99 ! [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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1823(X0,X1)),sK1824(X0,X1))),aa(nat,nat,suc,sK1825(X0,X1)),sK1826(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1823(X0,X1)),sK1824(X0,X1))),aa(nat,nat,suc,sK1825(X0,X1)),sK1826(X0,X1),sK1827(X0,X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31547,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT)] : (sP227(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) | ~sP228(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31546])).
% 26.16/4.99 tff(f31546,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (sP227(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP228(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27734])).
% 26.16/4.99 tff(f27734,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT)] : (sP227(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP228(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP228])])).
% 26.16/4.99 tff(f72988,plain,(
% 26.16/4.99 spl4009_1214 | ~spl4009_69 | ~spl4009_783),
% 26.16/4.99 inference(avatar_split_clause,[],[f71173,f70866,f67371,f72985])).
% 26.16/4.99 tff(f72985,plain,(
% 26.16/4.99 spl4009_1214 <=> sP79(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1214])])).
% 26.16/4.99 tff(f70866,plain,(
% 26.16/4.99 spl4009_783 <=> ! [X0 : $tType] : (sP79(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_783])])).
% 26.16/4.99 tff(f71173,plain,(
% 26.16/4.99 sP79(real) | (~spl4009_69 | ~spl4009_783)),
% 26.16/4.99 inference(resolution,[],[f70867,f67373])).
% 26.16/4.99 tff(f70867,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP79(X0)) ) | ~spl4009_783),
% 26.16/4.99 inference(avatar_component_clause,[],[f70866])).
% 26.16/4.99 tff(f72983,plain,(
% 26.16/4.99 spl4009_1213),
% 26.16/4.99 inference(avatar_split_clause,[],[f45403,f72981])).
% 26.16/4.99 tff(f72981,plain,(
% 26.16/4.99 spl4009_1213 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1823(X0,X1) != X0 | ~sP228(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1213])])).
% 26.16/4.99 tff(f45403,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1823(X0,X1) != X0 | ~sP228(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31550])).
% 26.16/4.99 tff(f72979,plain,(
% 26.16/4.99 spl4009_1212),
% 26.16/4.99 inference(avatar_split_clause,[],[f45401,f72977])).
% 26.16/4.99 tff(f72977,plain,(
% 26.16/4.99 spl4009_1212 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1820(X0,X1) != X0 | ~sP229(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1212])])).
% 26.16/4.99 tff(f45401,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1820(X0,X1) != X0 | ~sP229(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31545])).
% 26.16/4.99 tff(f31545,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sK1820(X0,X1) != X0 & sK1819(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1819(X0,X1)),sK1820(X0,X1))),zero_zero(nat),sK1821(X0,X1),sK1822(X0,X1)) = X1) | ~sP229(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1819,sK1820,sK1821,sK1822])],[f31542,f31544,f31543])).
% 26.16/4.99 tff(f31543,plain,(
% 26.16/4.99 ! [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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) => (sK1820(X0,X1) != X0 & sK1819(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1819(X0,X1)),sK1820(X0,X1))),zero_zero(nat),X4,X5) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31544,plain,(
% 26.16/4.99 ! [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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1819(X0,X1)),sK1820(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1819(X0,X1)),sK1820(X0,X1))),zero_zero(nat),sK1821(X0,X1),sK1822(X0,X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31542,plain,(
% 26.16/4.99 ! [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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) | ~sP229(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31541])).
% 26.16/4.99 tff(f31541,plain,(
% 26.16/4.99 ! [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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP229(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27735])).
% 26.16/4.99 tff(f27735,plain,(
% 26.16/4.99 ! [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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP229(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP229])])).
% 26.16/4.99 tff(f72975,plain,(
% 26.16/4.99 spl4009_1211),
% 26.16/4.99 inference(avatar_split_clause,[],[f45400,f72973])).
% 26.16/4.99 tff(f72973,plain,(
% 26.16/4.99 spl4009_1211 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1819(X0,X1) != X0 | ~sP229(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1211])])).
% 26.16/4.99 tff(f45400,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1819(X0,X1) != X0 | ~sP229(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31545])).
% 26.16/4.99 tff(f72971,plain,(
% 26.16/4.99 spl4009_1210),
% 26.16/4.99 inference(avatar_split_clause,[],[f45391,f72969])).
% 26.16/4.99 tff(f72969,plain,(
% 26.16/4.99 spl4009_1210 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1811(X0,X1) != X0 | ~sP224(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1210])])).
% 26.16/4.99 tff(f45391,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1811(X0,X1) != X0 | ~sP224(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31534])).
% 26.16/4.99 tff(f31534,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sP223(sK1813(X0,X1),sK1812(X0,X1),X0) & sK1811(X0,X1) != X0 & sK1810(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1810(X0,X1)),sK1811(X0,X1))),aa(nat,nat,suc,sK1812(X0,X1)),sK1813(X0,X1),sK1814(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1810(X0,X1)),sK1811(X0,X1))),aa(nat,nat,suc,sK1812(X0,X1)),sK1813(X0,X1),sK1814(X0,X1)) = X1) | ~sP224(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1810,sK1811,sK1812,sK1813,sK1814])],[f31532,f31533])).
% 26.16/4.99 tff(f31533,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP223(X5,X4,X0) & X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) => (sP223(sK1813(X0,X1),sK1812(X0,X1),X0) & sK1811(X0,X1) != X0 & sK1810(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1810(X0,X1)),sK1811(X0,X1))),aa(nat,nat,suc,sK1812(X0,X1)),sK1813(X0,X1),sK1814(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1810(X0,X1)),sK1811(X0,X1))),aa(nat,nat,suc,sK1812(X0,X1)),sK1813(X0,X1),sK1814(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31532,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : (? [X2 : nat,X3 : nat,X4 : nat,X5 : list(vEBT_VEBT),X6 : vEBT_VEBT] : (sP223(X5,X4,X0) & X0 != X3 & X0 != X2 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),aa(nat,nat,suc,X4),X5,X6) = X1) | ~sP224(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31531])).
% 26.16/4.99 tff(f31531,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT),X14 : vEBT_VEBT] : (sP223(X13,X12,X1) & X1 != X11 & X1 != X10 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP224(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27729])).
% 26.16/4.99 tff(f27729,plain,(
% 26.16/4.99 ! [X1 : nat,X0 : vEBT_VEBT] : (? [X10 : nat,X11 : nat,X12 : nat,X13 : list(vEBT_VEBT),X14 : vEBT_VEBT] : (sP223(X13,X12,X1) & X1 != X11 & X1 != X10 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X10),X11)),aa(nat,nat,suc,X12),X13,X14) = X0) | ~sP224(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP224])])).
% 26.16/4.99 tff(f72967,plain,(
% 26.16/4.99 spl4009_1209),
% 26.16/4.99 inference(avatar_split_clause,[],[f45390,f72965])).
% 26.16/4.99 tff(f72965,plain,(
% 26.16/4.99 spl4009_1209 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1810(X0,X1) != X0 | ~sP224(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1209])])).
% 26.16/4.99 tff(f45390,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1810(X0,X1) != X0 | ~sP224(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31534])).
% 26.16/4.99 tff(f72963,plain,(
% 26.16/4.99 spl4009_1208),
% 26.16/4.99 inference(avatar_split_clause,[],[f45387,f72961])).
% 26.16/4.99 tff(f72961,plain,(
% 26.16/4.99 spl4009_1208 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1807(X0,X1) != X0 | ~sP225(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1208])])).
% 26.16/4.99 tff(f45387,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1807(X0,X1) != X0 | ~sP225(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31530])).
% 26.16/4.99 tff(f31530,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : vEBT_VEBT] : ((sK1807(X0,X1) != X0 & sK1806(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1806(X0,X1)),sK1807(X0,X1))),zero_zero(nat),sK1808(X0,X1),sK1809(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1806(X0,X1)),sK1807(X0,X1))),zero_zero(nat),sK1808(X0,X1),sK1809(X0,X1)) = X1) | ~sP225(X0,X1))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1806,sK1807,sK1808,sK1809])],[f31528,f31529])).
% 26.16/4.99 tff(f31529,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) => (sK1807(X0,X1) != X0 & sK1806(X0,X1) != X0 & accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1806(X0,X1)),sK1807(X0,X1))),zero_zero(nat),sK1808(X0,X1),sK1809(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),sK1806(X0,X1)),sK1807(X0,X1))),zero_zero(nat),sK1808(X0,X1),sK1809(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31528,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X2),X3)),zero_zero(nat),X4,X5) = X1) | ~sP225(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31527])).
% 26.16/4.99 tff(f31527,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP225(X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27730])).
% 26.16/4.99 tff(f27730,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(nat,fun(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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X6),X7)),zero_zero(nat),X8,X9) = X0) | ~sP225(X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP225])])).
% 26.16/4.99 tff(f72959,plain,(
% 26.16/4.99 spl4009_1207),
% 26.16/4.99 inference(avatar_split_clause,[],[f45386,f72957])).
% 26.16/4.99 tff(f72957,plain,(
% 26.16/4.99 spl4009_1207 <=> ! [X0 : nat,X1 : vEBT_VEBT] : (sK1806(X0,X1) != X0 | ~sP225(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1207])])).
% 26.16/4.99 tff(f45386,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : vEBT_VEBT] : (sK1806(X0,X1) != X0 | ~sP225(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31530])).
% 26.16/4.99 tff(f72955,plain,(
% 26.16/4.99 spl4009_1206),
% 26.16/4.99 inference(avatar_split_clause,[],[f44675,f72953])).
% 26.16/4.99 tff(f72953,plain,(
% 26.16/4.99 spl4009_1206 <=> ! [X0 : bool,X1 : bool] : (pp(X1) | pp(X0) | ~pp(fdisj(X0,X1)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1206])])).
% 26.16/4.99 tff(f44675,plain,(
% 26.16/4.99 ( ! [X0 : bool,X1 : bool] : (pp(X1) | pp(X0) | ~pp(fdisj(X0,X1))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f14323])).
% 26.16/4.99 tff(f14323,plain,(
% 26.16/4.99 ! [X0 : bool,X1 : bool] : (pp(X1) | pp(X0) | ~pp(fdisj(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f9924])).
% 26.16/4.99 tff(f9924,axiom,(
% 26.16/4.99 ! [X45 : bool,X55 : bool] : (pp(X55) | pp(X45) | ~pp(fdisj(X45,X55)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_3_1_U)).
% 26.16/4.99 tff(f72951,plain,(
% 26.16/4.99 spl4009_1205),
% 26.16/4.99 inference(avatar_split_clause,[],[f44670,f72949])).
% 26.16/4.99 tff(f72949,plain,(
% 26.16/4.99 spl4009_1205 <=> ! [X0 : bool,X1 : bool] : (pp(fconj(X0,X1)) | ~pp(X1) | ~pp(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1205])])).
% 26.16/4.99 tff(f44670,plain,(
% 26.16/4.99 ( ! [X0 : bool,X1 : bool] : (pp(fconj(X0,X1)) | ~pp(X1) | ~pp(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f14318])).
% 26.16/4.99 tff(f14318,plain,(
% 26.16/4.99 ! [X0 : bool,X1 : bool] : (pp(fconj(X0,X1)) | ~pp(X1) | ~pp(X0))),
% 26.16/4.99 inference(rectify,[],[f9923])).
% 26.16/4.99 tff(f9923,axiom,(
% 26.16/4.99 ! [X45 : bool,X55 : bool] : (pp(fconj(X45,X55)) | ~pp(X55) | ~pp(X45))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_1_1_U)).
% 26.16/4.99 tff(f72947,plain,(
% 26.16/4.99 spl4009_1204),
% 26.16/4.99 inference(avatar_split_clause,[],[f44021,f72945])).
% 26.16/4.99 tff(f72945,plain,(
% 26.16/4.99 spl4009_1204 <=> ! [X0 : $tType,X1 : filter(X0)] : filterlim(X0,X0,aTP_Lamp_lg(X0,X0),X1,X1)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1204])])).
% 26.16/4.99 tff(f44021,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : filter(X0)] : (filterlim(X0,X0,aTP_Lamp_lg(X0,X0),X1,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f13732])).
% 26.16/4.99 tff(f13732,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : filter(X0)] : filterlim(X0,X0,aTP_Lamp_lg(X0,X0),X1,X1)),
% 26.16/4.99 inference(rectify,[],[f4965])).
% 26.16/4.99 tff(f4965,axiom,(
% 26.16/4.99 ! [X0 : $tType,X218 : filter(X0)] : filterlim(X0,X0,aTP_Lamp_lg(X0,X0),X218,X218)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4964_filterlim__ident)).
% 26.16/4.99 tff(f72943,plain,(
% 26.16/4.99 spl4009_1203 | ~spl4009_68 | ~spl4009_783),
% 26.16/4.99 inference(avatar_split_clause,[],[f71172,f70866,f67366,f72940])).
% 26.16/4.99 tff(f72940,plain,(
% 26.16/4.99 spl4009_1203 <=> sP79(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1203])])).
% 26.16/4.99 tff(f71172,plain,(
% 26.16/4.99 sP79(rat) | (~spl4009_68 | ~spl4009_783)),
% 26.16/4.99 inference(resolution,[],[f70867,f67368])).
% 26.16/4.99 tff(f72938,plain,(
% 26.16/4.99 spl4009_1202),
% 26.16/4.99 inference(avatar_split_clause,[],[f44020,f72936])).
% 26.16/4.99 tff(f72936,plain,(
% 26.16/4.99 spl4009_1202 <=> ! [X0 : $tType,X1 : set(X0)] : pairwise(X0,aTP_Lamp_aas(X0,fun(X0,bool)),X1)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1202])])).
% 26.16/4.99 tff(f44020,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (pairwise(X0,aTP_Lamp_aas(X0,fun(X0,bool)),X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f13731])).
% 26.16/4.99 tff(f13731,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0)] : pairwise(X0,aTP_Lamp_aas(X0,fun(X0,bool)),X1)),
% 26.16/4.99 inference(rectify,[],[f7198])).
% 26.16/4.99 tff(f7198,axiom,(
% 26.16/4.99 ! [X0 : $tType,X221 : set(X0)] : pairwise(X0,aTP_Lamp_aas(X0,fun(X0,bool)),X221)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7197_pairwise__trivial)).
% 26.16/4.99 tff(f72934,plain,(
% 26.16/4.99 spl4009_1201),
% 26.16/4.99 inference(avatar_split_clause,[],[f44019,f72932])).
% 26.16/4.99 tff(f72932,plain,(
% 26.16/4.99 spl4009_1201 <=> ! [X1 : $tType,X0 : $tType] : single_valued(X1,X0,bot_bot(set(product_prod(X1,X0))))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1201])])).
% 26.16/4.99 tff(f44019,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (single_valued(X1,X0,bot_bot(set(product_prod(X1,X0))))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f13730])).
% 26.16/4.99 tff(f13730,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : single_valued(X1,X0,bot_bot(set(product_prod(X1,X0))))),
% 26.16/4.99 inference(rectify,[],[f7983])).
% 26.16/4.99 tff(f7983,axiom,(
% 26.16/4.99 ! [X1 : $tType,X0 : $tType] : single_valued(X0,X1,bot_bot(set(product_prod(X0,X1))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7982_single__valued__empty)).
% 26.16/4.99 tff(f72930,plain,(
% 26.16/4.99 spl4009_1200),
% 26.16/4.99 inference(avatar_split_clause,[],[f43989,f72928])).
% 26.16/4.99 tff(f72928,plain,(
% 26.16/4.99 spl4009_1200 <=> ! [X0 : product_unit] : aa(bool,product_unit,product_Abs_unit,sK1576(X0)) = X0),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1200])])).
% 26.16/4.99 tff(f43989,plain,(
% 26.16/4.99 ( ! [X0 : product_unit] : (aa(bool,product_unit,product_Abs_unit,sK1576(X0)) = X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31001])).
% 26.16/4.99 tff(f31001,plain,(
% 26.16/4.99 ! [X0 : product_unit] : (pp(aa(set(bool),bool,aa(bool,fun(set(bool),bool),member(bool),sK1576(X0)),aa(set(bool),set(bool),aa(bool,fun(set(bool),set(bool)),insert2(bool),fTrue),bot_bot(set(bool))))) & aa(bool,product_unit,product_Abs_unit,sK1576(X0)) = X0)),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1576])],[f23166,f31000])).
% 26.16/4.99 tff(f31000,plain,(
% 26.16/4.99 ! [X0 : product_unit] : (? [X1 : bool] : (pp(aa(set(bool),bool,aa(bool,fun(set(bool),bool),member(bool),X1),aa(set(bool),set(bool),aa(bool,fun(set(bool),set(bool)),insert2(bool),fTrue),bot_bot(set(bool))))) & aa(bool,product_unit,product_Abs_unit,X1) = X0) => (pp(aa(set(bool),bool,aa(bool,fun(set(bool),bool),member(bool),sK1576(X0)),aa(set(bool),set(bool),aa(bool,fun(set(bool),set(bool)),insert2(bool),fTrue),bot_bot(set(bool))))) & aa(bool,product_unit,product_Abs_unit,sK1576(X0)) = X0))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f23166,plain,(
% 26.16/4.99 ! [X0 : product_unit] : ? [X1 : bool] : (pp(aa(set(bool),bool,aa(bool,fun(set(bool),bool),member(bool),X1),aa(set(bool),set(bool),aa(bool,fun(set(bool),set(bool)),insert2(bool),fTrue),bot_bot(set(bool))))) & aa(bool,product_unit,product_Abs_unit,X1) = X0)),
% 26.16/4.99 inference(ennf_transformation,[],[f13709])).
% 26.16/4.99 tff(f13709,plain,(
% 26.16/4.99 ! [X0 : product_unit] : ~! [X1 : bool] : (aa(bool,product_unit,product_Abs_unit,X1) = X0 => ~pp(aa(set(bool),bool,aa(bool,fun(set(bool),bool),member(bool),X1),aa(set(bool),set(bool),aa(bool,fun(set(bool),set(bool)),insert2(bool),fTrue),bot_bot(set(bool))))))),
% 26.16/4.99 inference(rectify,[],[f7278])).
% 26.16/4.99 tff(f7278,axiom,(
% 26.16/4.99 ! [X25 : product_unit] : ~! [X53 : bool] : (aa(bool,product_unit,product_Abs_unit,X53) = X25 => ~pp(aa(set(bool),bool,aa(bool,fun(set(bool),bool),member(bool),X53),aa(set(bool),set(bool),aa(bool,fun(set(bool),set(bool)),insert2(bool),fTrue),bot_bot(set(bool))))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7277_Abs__unit__cases)).
% 26.16/4.99 tff(f72926,plain,(
% 26.16/4.99 spl4009_1199),
% 26.16/4.99 inference(avatar_split_clause,[],[f43914,f72924])).
% 26.16/4.99 tff(f72924,plain,(
% 26.16/4.99 spl4009_1199 <=> ! [X0 : nat] : ~pp(aa(nat,bool,aTP_Lamp_jg(nat,bool),X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1199])])).
% 26.16/4.99 tff(f43914,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (~pp(aa(nat,bool,aTP_Lamp_jg(nat,bool),X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f13676])).
% 26.16/4.99 tff(f13676,plain,(
% 26.16/4.99 ! [X0 : nat] : ~pp(aa(nat,bool,aTP_Lamp_jg(nat,bool),X0))),
% 26.16/4.99 inference(flattening,[],[f13675])).
% 26.16/4.99 tff(f13675,plain,(
% 26.16/4.99 ! [X0 : nat] : ~pp(aa(nat,bool,aTP_Lamp_jg(nat,bool),X0))),
% 26.16/4.99 inference(true_and_false_elimination,[],[f13674])).
% 26.16/4.99 tff(f13674,plain,(
% 26.16/4.99 ! [X0 : nat] : (pp(aa(nat,bool,aTP_Lamp_jg(nat,bool),X0)) <=> $false)),
% 26.16/4.99 inference(rectify,[],[f9124])).
% 26.16/4.99 tff(f9124,axiom,(
% 26.16/4.99 ! [X108 : nat] : (pp(aa(nat,bool,aTP_Lamp_jg(nat,bool),X108)) <=> $false)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9123_ATP_Olambda__943)).
% 26.16/4.99 tff(f72922,plain,(
% 26.16/4.99 spl4009_1198),
% 26.16/4.99 inference(avatar_split_clause,[],[f43913,f72920])).
% 26.16/4.99 tff(f72920,plain,(
% 26.16/4.99 spl4009_1198 <=> ! [X0 : nat] : pp(aa(nat,bool,aTP_Lamp_jf(nat,bool),X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1198])])).
% 26.16/4.99 tff(f43913,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (pp(aa(nat,bool,aTP_Lamp_jf(nat,bool),X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f13673])).
% 26.16/4.99 tff(f13673,plain,(
% 26.16/4.99 ! [X0 : nat] : pp(aa(nat,bool,aTP_Lamp_jf(nat,bool),X0))),
% 26.16/4.99 inference(true_and_false_elimination,[],[f13672])).
% 26.16/4.99 tff(f13672,plain,(
% 26.16/4.99 ! [X0 : nat] : (pp(aa(nat,bool,aTP_Lamp_jf(nat,bool),X0)) <=> $true)),
% 26.16/4.99 inference(rectify,[],[f9126])).
% 26.16/4.99 tff(f9126,axiom,(
% 26.16/4.99 ! [X108 : nat] : (pp(aa(nat,bool,aTP_Lamp_jf(nat,bool),X108)) <=> $true)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9125_ATP_Olambda__945)).
% 26.16/4.99 tff(f72918,plain,(
% 26.16/4.99 spl4009_1197),
% 26.16/4.99 inference(avatar_split_clause,[],[f43894,f72916])).
% 26.16/4.99 tff(f72916,plain,(
% 26.16/4.99 spl4009_1197 <=> ! [X0 : real] : (zero_zero(real) = cos(real,X0) | ~sP199(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1197])])).
% 26.16/4.99 tff(f43894,plain,(
% 26.16/4.99 ( ! [X0 : real] : (zero_zero(real) = cos(real,X0) | ~sP199(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30914])).
% 26.16/4.99 tff(f30914,plain,(
% 26.16/4.99 ! [X0 : real] : ((zero_zero(real) = cos(real,X0) | ~sP199(X0)) & (sP199(X0) | zero_zero(real) != cos(real,X0)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27686])).
% 26.16/4.99 tff(f27686,plain,(
% 26.16/4.99 ! [X0 : real] : (zero_zero(real) = cos(real,X0) <=> sP199(X0))),
% 26.16/4.99 inference(definition_folding,[],[f13665,f27685])).
% 26.16/4.99 tff(f27685,plain,(
% 26.16/4.99 ! [X0 : real] : (sP199(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),aa(num,num,bit0,one2))))) = X0 & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2)))) = X0 & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP199])])).
% 26.16/4.99 tff(f13665,plain,(
% 26.16/4.99 ! [X0 : real] : (zero_zero(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),aa(num,num,bit0,one2))))) = X0 & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2)))) = X0 & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)))))),
% 26.16/4.99 inference(rectify,[],[f2736])).
% 26.16/4.99 tff(f2736,axiom,(
% 26.16/4.99 ! [X25 : real] : (zero_zero(real) = cos(real,X25) <=> (? [X118 : 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),X118)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) = X25 & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X118))) | ? [X118 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X118)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = X25 & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X118)))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2735_cos__zero__iff)).
% 26.16/4.99 tff(f72914,plain,(
% 26.16/4.99 spl4009_1196),
% 26.16/4.99 inference(avatar_split_clause,[],[f43893,f72912])).
% 26.16/4.99 tff(f72912,plain,(
% 26.16/4.99 spl4009_1196 <=> ! [X0 : real] : (sP199(X0) | zero_zero(real) != cos(real,X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1196])])).
% 26.16/4.99 tff(f43893,plain,(
% 26.16/4.99 ( ! [X0 : real] : (sP199(X0) | zero_zero(real) != cos(real,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30914])).
% 26.16/4.99 tff(f72910,plain,(
% 26.16/4.99 spl4009_1195),
% 26.16/4.99 inference(avatar_split_clause,[],[f43883,f72908])).
% 26.16/4.99 tff(f72908,plain,(
% 26.16/4.99 spl4009_1195 <=> ! [X0 : real] : (zero_zero(real) = sin(real,X0) | ~sP198(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1195])])).
% 26.16/4.99 tff(f43883,plain,(
% 26.16/4.99 ( ! [X0 : real] : (zero_zero(real) = sin(real,X0) | ~sP198(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30903])).
% 26.16/4.99 tff(f30903,plain,(
% 26.16/4.99 ! [X0 : real] : ((zero_zero(real) = sin(real,X0) | ~sP198(X0)) & (sP198(X0) | zero_zero(real) != sin(real,X0)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27684])).
% 26.16/4.99 tff(f27684,plain,(
% 26.16/4.99 ! [X0 : real] : (zero_zero(real) = sin(real,X0) <=> sP198(X0))),
% 26.16/4.99 inference(definition_folding,[],[f13663,f27683])).
% 26.16/4.99 tff(f27683,plain,(
% 26.16/4.99 ! [X0 : real] : (sP198(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),aa(num,num,bit0,one2))))) = X0 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2)))) = X0 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP198])])).
% 26.16/4.99 tff(f13663,plain,(
% 26.16/4.99 ! [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),aa(num,num,bit0,one2))))) = X0 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2)))) = X0 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2)))))),
% 26.16/4.99 inference(rectify,[],[f2810])).
% 26.16/4.99 tff(f2810,axiom,(
% 26.16/4.99 ! [X25 : real] : (zero_zero(real) = sin(real,X25) <=> (? [X118 : 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),X118)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))) = X25 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X118))) | ? [X118 : nat] : (aa(real,real,aa(real,fun(real,real),times_times(real),aa(nat,real,semiring_1_of_nat(real),X118)),divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) = X25 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X118)))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2809_sin__zero__iff)).
% 26.16/4.99 tff(f72906,plain,(
% 26.16/4.99 spl4009_1194),
% 26.16/4.99 inference(avatar_split_clause,[],[f43882,f72904])).
% 26.16/4.99 tff(f72904,plain,(
% 26.16/4.99 spl4009_1194 <=> ! [X0 : real] : (sP198(X0) | zero_zero(real) != sin(real,X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1194])])).
% 26.16/4.99 tff(f43882,plain,(
% 26.16/4.99 ( ! [X0 : real] : (sP198(X0) | zero_zero(real) != sin(real,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30903])).
% 26.16/4.99 tff(f72902,plain,(
% 26.16/4.99 spl4009_1193),
% 26.16/4.99 inference(avatar_split_clause,[],[f43269,f72900])).
% 26.16/4.99 tff(f72900,plain,(
% 26.16/4.99 spl4009_1193 <=> ! [X0 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK1202(X0)) = X0 | ~sP197(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1193])])).
% 26.16/4.99 tff(f43269,plain,(
% 26.16/4.99 ( ! [X0 : vEBT_VEBT] : (vEBT_Leaf(fTrue,sK1202(X0)) = X0 | ~sP197(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30520])).
% 26.16/4.99 tff(f30520,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK1202(X0))) & vEBT_Leaf(fTrue,sK1202(X0)) = X0) | ~sP197(X0))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1202])],[f30518,f30519])).
% 26.16/4.99 tff(f30519,plain,(
% 26.16/4.99 ! [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,sK1202(X0))) & vEBT_Leaf(fTrue,sK1202(X0)) = X0))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f30518,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : (? [X1 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X1)) & vEBT_Leaf(fTrue,X1) = X0) | ~sP197(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27681])).
% 26.16/4.99 tff(f27681,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : (? [X1 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X1)) & vEBT_Leaf(fTrue,X1) = X0) | ~sP197(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP197])])).
% 26.16/4.99 tff(f72898,plain,(
% 26.16/4.99 spl4009_1192 | ~spl4009_69 | ~spl4009_782),
% 26.16/4.99 inference(avatar_split_clause,[],[f71171,f70862,f67371,f72895])).
% 26.16/4.99 tff(f72895,plain,(
% 26.16/4.99 spl4009_1192 <=> sP76(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1192])])).
% 26.16/4.99 tff(f70862,plain,(
% 26.16/4.99 spl4009_782 <=> ! [X0 : $tType] : (sP76(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_782])])).
% 26.16/4.99 tff(f71171,plain,(
% 26.16/4.99 sP76(real) | (~spl4009_69 | ~spl4009_782)),
% 26.16/4.99 inference(resolution,[],[f70863,f67373])).
% 26.16/4.99 tff(f70863,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP76(X0)) ) | ~spl4009_782),
% 26.16/4.99 inference(avatar_component_clause,[],[f70862])).
% 26.16/4.99 tff(f72893,plain,(
% 26.16/4.99 spl4009_1191),
% 26.16/4.99 inference(avatar_split_clause,[],[f43117,f72891])).
% 26.16/4.99 tff(f72891,plain,(
% 26.16/4.99 spl4009_1191 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) | ~sP190(X0,X1) | ~sP191(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1191])])).
% 26.16/4.99 tff(f43117,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) | ~sP190(X0,X1) | ~sP191(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30414])).
% 26.16/4.99 tff(f30414,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topological_monoseq(X0,X1) | ~sP190(X0,X1)) & (sP190(X0,X1) | ~topological_monoseq(X0,X1))) | ~sP191(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27670])).
% 26.16/4.99 tff(f27670,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) <=> sP190(X0,X1)) | ~sP191(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP191])])).
% 26.16/4.99 tff(f72889,plain,(
% 26.16/4.99 spl4009_1190),
% 26.16/4.99 inference(avatar_split_clause,[],[f43116,f72887])).
% 26.16/4.99 tff(f72887,plain,(
% 26.16/4.99 spl4009_1190 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP190(X0,X1) | ~topological_monoseq(X0,X1) | ~sP191(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1190])])).
% 26.16/4.99 tff(f43116,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP190(X0,X1) | ~topological_monoseq(X0,X1) | ~sP191(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30414])).
% 26.16/4.99 tff(f72885,plain,(
% 26.16/4.99 spl4009_1189),
% 26.16/4.99 inference(avatar_split_clause,[],[f42520,f72883])).
% 26.16/4.99 tff(f72883,plain,(
% 26.16/4.99 spl4009_1189 <=> ! [X0 : $tType] : (sorted_wrt(X0,ord_less_eq(X0),nil(X0)) | ~linorder(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1189])])).
% 26.16/4.99 tff(f42520,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (sorted_wrt(X0,ord_less_eq(X0),nil(X0)) | ~linorder(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f21801])).
% 26.16/4.99 tff(f21801,plain,(
% 26.16/4.99 ! [X0 : $tType] : (sorted_wrt(X0,ord_less_eq(X0),nil(X0)) | ~linorder(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f6242])).
% 26.16/4.99 tff(f6242,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (linorder(X0) => sorted_wrt(X0,ord_less_eq(X0),nil(X0)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6241_sorted0)).
% 26.16/4.99 tff(f72881,plain,(
% 26.16/4.99 spl4009_1188),
% 26.16/4.99 inference(avatar_split_clause,[],[f41782,f72879])).
% 26.16/4.99 tff(f72879,plain,(
% 26.16/4.99 spl4009_1188 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | ~sP169(X0,X1) | ~sP170(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1188])])).
% 26.16/4.99 tff(f41782,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) | ~sP169(X0,X1) | ~sP170(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29849])).
% 26.16/4.99 tff(f29849,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo1002775350975398744n_open(X0,X1) | ~sP169(X0,X1)) & (sP169(X0,X1) | ~topolo1002775350975398744n_open(X0,X1))) | ~sP170(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27637])).
% 26.16/4.99 tff(f27637,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) <=> sP169(X0,X1)) | ~sP170(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP170])])).
% 26.16/4.99 tff(f72877,plain,(
% 26.16/4.99 spl4009_1187),
% 26.16/4.99 inference(avatar_split_clause,[],[f41781,f72875])).
% 26.16/4.99 tff(f72875,plain,(
% 26.16/4.99 spl4009_1187 <=> ! [X0 : $tType,X1 : set(X0)] : (sP169(X0,X1) | ~topolo1002775350975398744n_open(X0,X1) | ~sP170(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1187])])).
% 26.16/4.99 tff(f41781,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP169(X0,X1) | ~topolo1002775350975398744n_open(X0,X1) | ~sP170(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29849])).
% 26.16/4.99 tff(f72873,plain,(
% 26.16/4.99 spl4009_1186),
% 26.16/4.99 inference(avatar_split_clause,[],[f41775,f72871])).
% 26.16/4.99 tff(f72871,plain,(
% 26.16/4.99 spl4009_1186 <=> ! [X1 : $tType,X0 : set(X1)] : (sP167(X1,X0) | topolo1002775350975398744n_open(X1,sK978(X1,X0)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1186])])).
% 26.16/4.99 tff(f41775,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : set(X1)] : (sP167(X1,X0) | topolo1002775350975398744n_open(X1,sK978(X1,X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29848])).
% 26.16/4.99 tff(f29848,plain,(
% 26.16/4.99 ! [X0 : set(X1),X1 : $tType] : ((sP167(X1,X0) | (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK978(X1,X0)),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK977(X1,X0)),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK977(X1,X0)),sK978(X1,X0))),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),sK977(X1,X0)),sK978(X1,X0)))) & topolo1002775350975398744n_open(X1,sK978(X1,X0)) & topolo1002775350975398744n_open(X1,sK977(X1,X0)))) & (! [X4 : set(X1),X5 : set(X1)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X5),X0) | bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X0) | bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X5)),X0) | ~pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X4),X5))) | ~topolo1002775350975398744n_open(X1,X5) | ~topolo1002775350975398744n_open(X1,X4)) | ~sP167(X1,X0)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK977,sK978])],[f29846,f29847])).
% 26.16/4.99 tff(f29847,plain,(
% 26.16/4.99 ! [X1 : $tType,X0 : set(X1)] : (? [X2 : set(X1),X3 : set(X1)] : (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X3)),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X2),X3))) & topolo1002775350975398744n_open(X1,X3) & topolo1002775350975398744n_open(X1,X2)) => (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK978(X1,X0)),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK977(X1,X0)),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK977(X1,X0)),sK978(X1,X0))),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),sK977(X1,X0)),sK978(X1,X0)))) & topolo1002775350975398744n_open(X1,sK978(X1,X0)) & topolo1002775350975398744n_open(X1,sK977(X1,X0))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f29846,plain,(
% 26.16/4.99 ! [X0 : set(X1),X1 : $tType] : ((sP167(X1,X0) | ? [X2 : set(X1),X3 : set(X1)] : (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X3)),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X2),X3))) & topolo1002775350975398744n_open(X1,X3) & topolo1002775350975398744n_open(X1,X2))) & (! [X4 : set(X1),X5 : set(X1)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X5),X0) | bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X0) | bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X5)),X0) | ~pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X4),X5))) | ~topolo1002775350975398744n_open(X1,X5) | ~topolo1002775350975398744n_open(X1,X4)) | ~sP167(X1,X0)))),
% 26.16/4.99 inference(rectify,[],[f29845])).
% 26.16/4.99 tff(f29845,plain,(
% 26.16/4.99 ! [X1 : set(X0),X0 : $tType] : ((sP167(X0,X1) | ? [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) & bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) & bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) & topolo1002775350975398744n_open(X0,X3) & topolo1002775350975398744n_open(X0,X2))) & (! [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) | ~topolo1002775350975398744n_open(X0,X3) | ~topolo1002775350975398744n_open(X0,X2)) | ~sP167(X0,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27633])).
% 26.16/4.99 tff(f27633,plain,(
% 26.16/4.99 ! [X1 : set(X0),X0 : $tType] : (sP167(X0,X1) <=> ! [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) | ~topolo1002775350975398744n_open(X0,X3) | ~topolo1002775350975398744n_open(X0,X2)))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP167])])).
% 26.16/4.99 tff(f72869,plain,(
% 26.16/4.99 spl4009_1185),
% 26.16/4.99 inference(avatar_split_clause,[],[f41774,f72867])).
% 26.16/4.99 tff(f72867,plain,(
% 26.16/4.99 spl4009_1185 <=> ! [X1 : $tType,X0 : set(X1)] : (sP167(X1,X0) | topolo1002775350975398744n_open(X1,sK977(X1,X0)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1185])])).
% 26.16/4.99 tff(f41774,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : set(X1)] : (sP167(X1,X0) | topolo1002775350975398744n_open(X1,sK977(X1,X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29848])).
% 26.16/4.99 tff(f72865,plain,(
% 26.16/4.99 spl4009_1184),
% 26.16/4.99 inference(avatar_split_clause,[],[f41772,f72863])).
% 26.16/4.99 tff(f72863,plain,(
% 26.16/4.99 spl4009_1184 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ~sP167(X0,X1) | ~sP168(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1184])])).
% 26.16/4.99 tff(f41772,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ~sP167(X0,X1) | ~sP168(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29844])).
% 26.16/4.99 tff(f29844,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo1966860045006549960nected(X0,X1) | ~sP167(X0,X1)) & (sP167(X0,X1) | ~topolo1966860045006549960nected(X0,X1))) | ~sP168(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27634])).
% 26.16/4.99 tff(f27634,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> sP167(X0,X1)) | ~sP168(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP168])])).
% 26.16/4.99 tff(f72861,plain,(
% 26.16/4.99 spl4009_1183),
% 26.16/4.99 inference(avatar_split_clause,[],[f41771,f72859])).
% 26.16/4.99 tff(f72859,plain,(
% 26.16/4.99 spl4009_1183 <=> ! [X0 : $tType,X1 : set(X0)] : (sP167(X0,X1) | ~topolo1966860045006549960nected(X0,X1) | ~sP168(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1183])])).
% 26.16/4.99 tff(f41771,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP167(X0,X1) | ~topolo1966860045006549960nected(X0,X1) | ~sP168(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29844])).
% 26.16/4.99 tff(f72857,plain,(
% 26.16/4.99 spl4009_1182),
% 26.16/4.99 inference(avatar_split_clause,[],[f41765,f72855])).
% 26.16/4.99 tff(f72855,plain,(
% 26.16/4.99 spl4009_1182 <=> ! [X1 : $tType,X0 : set(X1)] : (sP165(X1,X0) | topolo7761053866217962861closed(X1,sK976(X1,X0)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1182])])).
% 26.16/4.99 tff(f41765,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : set(X1)] : (sP165(X1,X0) | topolo7761053866217962861closed(X1,sK976(X1,X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29843])).
% 26.16/4.99 tff(f29843,plain,(
% 26.16/4.99 ! [X0 : set(X1),X1 : $tType] : ((sP165(X1,X0) | (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK976(X1,X0)),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK975(X1,X0)),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK975(X1,X0)),sK976(X1,X0))),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),sK975(X1,X0)),sK976(X1,X0)))) & topolo7761053866217962861closed(X1,sK976(X1,X0)) & topolo7761053866217962861closed(X1,sK975(X1,X0)))) & (! [X4 : set(X1),X5 : set(X1)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X5),X0) | bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X0) | bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X5)),X0) | ~pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X4),X5))) | ~topolo7761053866217962861closed(X1,X5) | ~topolo7761053866217962861closed(X1,X4)) | ~sP165(X1,X0)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK975,sK976])],[f29841,f29842])).
% 26.16/4.99 tff(f29842,plain,(
% 26.16/4.99 ! [X1 : $tType,X0 : set(X1)] : (? [X2 : set(X1),X3 : set(X1)] : (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X3)),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X2),X3))) & topolo7761053866217962861closed(X1,X3) & topolo7761053866217962861closed(X1,X2)) => (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK976(X1,X0)),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK975(X1,X0)),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),sK975(X1,X0)),sK976(X1,X0))),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),sK975(X1,X0)),sK976(X1,X0)))) & topolo7761053866217962861closed(X1,sK976(X1,X0)) & topolo7761053866217962861closed(X1,sK975(X1,X0))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f29841,plain,(
% 26.16/4.99 ! [X0 : set(X1),X1 : $tType] : ((sP165(X1,X0) | ? [X2 : set(X1),X3 : set(X1)] : (bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X3),X0) & bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X0) & bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X2),X3)),X0) & pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X2),X3))) & topolo7761053866217962861closed(X1,X3) & topolo7761053866217962861closed(X1,X2))) & (! [X4 : set(X1),X5 : set(X1)] : (bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X5),X0) | bot_bot(set(X1)) = aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X0) | bot_bot(set(X1)) != aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X4),X5)),X0) | ~pp(aa(set(X1),bool,aa(set(X1),fun(set(X1),bool),ord_less_eq(set(X1)),X0),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),sup_sup(set(X1)),X4),X5))) | ~topolo7761053866217962861closed(X1,X5) | ~topolo7761053866217962861closed(X1,X4)) | ~sP165(X1,X0)))),
% 26.16/4.99 inference(rectify,[],[f29840])).
% 26.16/4.99 tff(f29840,plain,(
% 26.16/4.99 ! [X1 : set(X0),X0 : $tType] : ((sP165(X0,X1) | ? [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) & bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) & bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) & topolo7761053866217962861closed(X0,X3) & topolo7761053866217962861closed(X0,X2))) & (! [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) | ~topolo7761053866217962861closed(X0,X3) | ~topolo7761053866217962861closed(X0,X2)) | ~sP165(X0,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27630])).
% 26.16/4.99 tff(f27630,plain,(
% 26.16/4.99 ! [X1 : set(X0),X0 : $tType] : (sP165(X0,X1) <=> ! [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) | ~topolo7761053866217962861closed(X0,X3) | ~topolo7761053866217962861closed(X0,X2)))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP165])])).
% 26.16/4.99 tff(f72853,plain,(
% 26.16/4.99 spl4009_1181 | ~spl4009_68 | ~spl4009_782),
% 26.16/4.99 inference(avatar_split_clause,[],[f71170,f70862,f67366,f72850])).
% 26.16/4.99 tff(f72850,plain,(
% 26.16/4.99 spl4009_1181 <=> sP76(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1181])])).
% 26.16/4.99 tff(f71170,plain,(
% 26.16/4.99 sP76(rat) | (~spl4009_68 | ~spl4009_782)),
% 26.16/4.99 inference(resolution,[],[f70863,f67368])).
% 26.16/4.99 tff(f72848,plain,(
% 26.16/4.99 spl4009_1180),
% 26.16/4.99 inference(avatar_split_clause,[],[f41764,f72846])).
% 26.16/4.99 tff(f72846,plain,(
% 26.16/4.99 spl4009_1180 <=> ! [X1 : $tType,X0 : set(X1)] : (sP165(X1,X0) | topolo7761053866217962861closed(X1,sK975(X1,X0)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1180])])).
% 26.16/4.99 tff(f41764,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : set(X1)] : (sP165(X1,X0) | topolo7761053866217962861closed(X1,sK975(X1,X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29843])).
% 26.16/4.99 tff(f72844,plain,(
% 26.16/4.99 spl4009_1179),
% 26.16/4.99 inference(avatar_split_clause,[],[f41762,f72842])).
% 26.16/4.99 tff(f72842,plain,(
% 26.16/4.99 spl4009_1179 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ~sP165(X0,X1) | ~sP166(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1179])])).
% 26.16/4.99 tff(f41762,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ~sP165(X0,X1) | ~sP166(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29839])).
% 26.16/4.99 tff(f29839,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo1966860045006549960nected(X0,X1) | ~sP165(X0,X1)) & (sP165(X0,X1) | ~topolo1966860045006549960nected(X0,X1))) | ~sP166(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27631])).
% 26.16/4.99 tff(f27631,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> sP165(X0,X1)) | ~sP166(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP166])])).
% 26.16/4.99 tff(f72840,plain,(
% 26.16/4.99 spl4009_1178),
% 26.16/4.99 inference(avatar_split_clause,[],[f41761,f72838])).
% 26.16/4.99 tff(f72838,plain,(
% 26.16/4.99 spl4009_1178 <=> ! [X0 : $tType,X1 : set(X0)] : (sP165(X0,X1) | ~topolo1966860045006549960nected(X0,X1) | ~sP166(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1178])])).
% 26.16/4.99 tff(f41761,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP165(X0,X1) | ~topolo1966860045006549960nected(X0,X1) | ~sP166(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29839])).
% 26.16/4.99 tff(f72836,plain,(
% 26.16/4.99 spl4009_1177),
% 26.16/4.99 inference(avatar_split_clause,[],[f41750,f72834])).
% 26.16/4.99 tff(f72834,plain,(
% 26.16/4.99 spl4009_1177 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP163(X0,X1) | ~sP164(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1177])])).
% 26.16/4.99 tff(f41750,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP163(X0,X1) | ~sP164(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29829])).
% 26.16/4.99 tff(f29829,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo2193935891317330818ompact(X0,X1) | ~sP163(X0,X1)) & (sP163(X0,X1) | ~topolo2193935891317330818ompact(X0,X1))) | ~sP164(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27628])).
% 26.16/4.99 tff(f27628,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> sP163(X0,X1)) | ~sP164(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP164])])).
% 26.16/4.99 tff(f72832,plain,(
% 26.16/4.99 spl4009_1176),
% 26.16/4.99 inference(avatar_split_clause,[],[f41749,f72830])).
% 26.16/4.99 tff(f72830,plain,(
% 26.16/4.99 spl4009_1176 <=> ! [X0 : $tType,X1 : set(X0)] : (sP163(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP164(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1176])])).
% 26.16/4.99 tff(f41749,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP163(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP164(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29829])).
% 26.16/4.99 tff(f72828,plain,(
% 26.16/4.99 spl4009_1175),
% 26.16/4.99 inference(avatar_split_clause,[],[f41738,f72826])).
% 26.16/4.99 tff(f72826,plain,(
% 26.16/4.99 spl4009_1175 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP160(X0,X1) | ~sP161(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1175])])).
% 26.16/4.99 tff(f41738,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) | ~sP160(X0,X1) | ~sP161(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29819])).
% 26.16/4.99 tff(f29819,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo2193935891317330818ompact(X0,X1) | ~sP160(X0,X1)) & (sP160(X0,X1) | ~topolo2193935891317330818ompact(X0,X1))) | ~sP161(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27624])).
% 26.16/4.99 tff(f27624,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> sP160(X0,X1)) | ~sP161(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP161])])).
% 26.16/4.99 tff(f72824,plain,(
% 26.16/4.99 spl4009_1174),
% 26.16/4.99 inference(avatar_split_clause,[],[f41737,f72822])).
% 26.16/4.99 tff(f72822,plain,(
% 26.16/4.99 spl4009_1174 <=> ! [X0 : $tType,X1 : set(X0)] : (sP160(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP161(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1174])])).
% 26.16/4.99 tff(f41737,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP160(X0,X1) | ~topolo2193935891317330818ompact(X0,X1) | ~sP161(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29819])).
% 26.16/4.99 tff(f72820,plain,(
% 26.16/4.99 spl4009_1173),
% 26.16/4.99 inference(avatar_split_clause,[],[f39585,f72818])).
% 26.16/4.99 tff(f72818,plain,(
% 26.16/4.99 spl4009_1173 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP83(X0,X1) | ~sP84(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1173])])).
% 26.16/4.99 tff(f39585,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP83(X0,X1) | ~sP84(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29030])).
% 26.16/4.99 tff(f29030,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP83(X0,X1)) & (sP83(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP84(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27501])).
% 26.16/4.99 tff(f27501,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP83(X0,X1)) | ~sP84(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])])).
% 26.16/4.99 tff(f72816,plain,(
% 26.16/4.99 spl4009_1172),
% 26.16/4.99 inference(avatar_split_clause,[],[f39584,f72814])).
% 26.16/4.99 tff(f72814,plain,(
% 26.16/4.99 spl4009_1172 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP83(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP84(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1172])])).
% 26.16/4.99 tff(f39584,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP83(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP84(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29030])).
% 26.16/4.99 tff(f72812,plain,(
% 26.16/4.99 spl4009_1171),
% 26.16/4.99 inference(avatar_split_clause,[],[f38855,f72810])).
% 26.16/4.99 tff(f72810,plain,(
% 26.16/4.99 spl4009_1171 <=> ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP28(X0,X1) | ~sP29(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1171])])).
% 26.16/4.99 tff(f38855,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP28(X0,X1) | ~sP29(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28727])).
% 26.16/4.99 tff(f28727,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((real_V358717886546972837endent(X0,X1) | ~sP28(X0,X1)) & (sP28(X0,X1) | ~real_V358717886546972837endent(X0,X1))) | ~sP29(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27424])).
% 26.16/4.99 tff(f27424,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> sP28(X0,X1)) | ~sP29(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])])).
% 26.16/4.99 tff(f72808,plain,(
% 26.16/4.99 spl4009_1170 | ~spl4009_69 | ~spl4009_781),
% 26.16/4.99 inference(avatar_split_clause,[],[f71169,f70858,f67371,f72805])).
% 26.16/4.99 tff(f72805,plain,(
% 26.16/4.99 spl4009_1170 <=> sP73(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1170])])).
% 26.16/4.99 tff(f70858,plain,(
% 26.16/4.99 spl4009_781 <=> ! [X0 : $tType] : (sP73(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_781])])).
% 26.16/4.99 tff(f71169,plain,(
% 26.16/4.99 sP73(real) | (~spl4009_69 | ~spl4009_781)),
% 26.16/4.99 inference(resolution,[],[f70859,f67373])).
% 26.16/4.99 tff(f70859,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP73(X0)) ) | ~spl4009_781),
% 26.16/4.99 inference(avatar_component_clause,[],[f70858])).
% 26.16/4.99 tff(f72803,plain,(
% 26.16/4.99 spl4009_1169),
% 26.16/4.99 inference(avatar_split_clause,[],[f38854,f72801])).
% 26.16/4.99 tff(f72801,plain,(
% 26.16/4.99 spl4009_1169 <=> ! [X0 : $tType,X1 : set(X0)] : (sP28(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP29(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1169])])).
% 26.16/4.99 tff(f38854,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP28(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP29(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28727])).
% 26.16/4.99 tff(f72799,plain,(
% 26.16/4.99 spl4009_1168),
% 26.16/4.99 inference(avatar_split_clause,[],[f38843,f72797])).
% 26.16/4.99 tff(f72797,plain,(
% 26.16/4.99 spl4009_1168 <=> ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP26(X0,X1) | ~sP27(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1168])])).
% 26.16/4.99 tff(f38843,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) | ~sP26(X0,X1) | ~sP27(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28716])).
% 26.16/4.99 tff(f28716,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((real_V358717886546972837endent(X0,X1) | ~sP26(X0,X1)) & (sP26(X0,X1) | ~real_V358717886546972837endent(X0,X1))) | ~sP27(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27421])).
% 26.16/4.99 tff(f27421,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (real_V358717886546972837endent(X0,X1) <=> sP26(X0,X1)) | ~sP27(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])])).
% 26.16/4.99 tff(f72795,plain,(
% 26.16/4.99 spl4009_1167),
% 26.16/4.99 inference(avatar_split_clause,[],[f38842,f72793])).
% 26.16/4.99 tff(f72793,plain,(
% 26.16/4.99 spl4009_1167 <=> ! [X0 : $tType,X1 : set(X0)] : (sP26(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP27(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1167])])).
% 26.16/4.99 tff(f38842,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP26(X0,X1) | ~real_V358717886546972837endent(X0,X1) | ~sP27(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28716])).
% 26.16/4.99 tff(f72791,plain,(
% 26.16/4.99 spl4009_1166),
% 26.16/4.99 inference(avatar_split_clause,[],[f38834,f72789])).
% 26.16/4.99 tff(f72789,plain,(
% 26.16/4.99 spl4009_1166 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP24(X0,X1) | ~sP25(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1166])])).
% 26.16/4.99 tff(f38834,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP24(X0,X1) | ~sP25(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28711])).
% 26.16/4.99 tff(f28711,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((~real_V358717886546972837endent(X0,X1) | ~sP24(X0,X1)) & (sP24(X0,X1) | real_V358717886546972837endent(X0,X1))) | ~sP25(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27418])).
% 26.16/4.99 tff(f27418,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> sP24(X0,X1)) | ~sP25(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])])).
% 26.16/4.99 tff(f72787,plain,(
% 26.16/4.99 spl4009_1165),
% 26.16/4.99 inference(avatar_split_clause,[],[f38833,f72785])).
% 26.16/4.99 tff(f72785,plain,(
% 26.16/4.99 spl4009_1165 <=> ! [X0 : $tType,X1 : set(X0)] : (sP24(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP25(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1165])])).
% 26.16/4.99 tff(f38833,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP24(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP25(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28711])).
% 26.16/4.99 tff(f72783,plain,(
% 26.16/4.99 spl4009_1164),
% 26.16/4.99 inference(avatar_split_clause,[],[f38826,f72781])).
% 26.16/4.99 tff(f72781,plain,(
% 26.16/4.99 spl4009_1164 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP22(X0,X1) | ~sP23(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1164])])).
% 26.16/4.99 tff(f38826,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP22(X0,X1) | ~sP23(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28705])).
% 26.16/4.99 tff(f28705,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((~real_V358717886546972837endent(X0,X1) | ~sP22(X0,X1)) & (sP22(X0,X1) | real_V358717886546972837endent(X0,X1))) | ~sP23(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27415])).
% 26.16/4.99 tff(f27415,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> sP22(X0,X1)) | ~sP23(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])])).
% 26.16/4.99 tff(f72779,plain,(
% 26.16/4.99 spl4009_1163),
% 26.16/4.99 inference(avatar_split_clause,[],[f38825,f72777])).
% 26.16/4.99 tff(f72777,plain,(
% 26.16/4.99 spl4009_1163 <=> ! [X0 : $tType,X1 : set(X0)] : (sP22(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP23(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1163])])).
% 26.16/4.99 tff(f38825,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP22(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP23(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28705])).
% 26.16/4.99 tff(f72775,plain,(
% 26.16/4.99 spl4009_1162),
% 26.16/4.99 inference(avatar_split_clause,[],[f38817,f72773])).
% 26.16/4.99 tff(f72773,plain,(
% 26.16/4.99 spl4009_1162 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP20(X0,X1) | ~sP21(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1162])])).
% 26.16/4.99 tff(f38817,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) | ~sP20(X0,X1) | ~sP21(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28698])).
% 26.16/4.99 tff(f28698,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((~real_V358717886546972837endent(X0,X1) | ~sP20(X0,X1)) & (sP20(X0,X1) | real_V358717886546972837endent(X0,X1))) | ~sP21(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27412])).
% 26.16/4.99 tff(f27412,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> sP20(X0,X1)) | ~sP21(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])])).
% 26.16/4.99 tff(f72771,plain,(
% 26.16/4.99 spl4009_1161),
% 26.16/4.99 inference(avatar_split_clause,[],[f38816,f72769])).
% 26.16/4.99 tff(f72769,plain,(
% 26.16/4.99 spl4009_1161 <=> ! [X0 : $tType,X1 : set(X0)] : (sP20(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP21(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1161])])).
% 26.16/4.99 tff(f38816,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP20(X0,X1) | real_V358717886546972837endent(X0,X1) | ~sP21(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28698])).
% 26.16/4.99 tff(f72767,plain,(
% 26.16/4.99 spl4009_1160),
% 26.16/4.99 inference(avatar_split_clause,[],[f38698,f72765])).
% 26.16/4.99 tff(f72765,plain,(
% 26.16/4.99 spl4009_1160 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP17(X0,X1) | ~sP18(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1160])])).
% 26.16/4.99 tff(f38698,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP17(X0,X1) | ~sP18(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28663])).
% 26.16/4.99 tff(f28663,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP17(X0,X1)) & (sP17(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP18(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27407])).
% 26.16/4.99 tff(f27407,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP17(X0,X1)) | ~sP18(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])])).
% 26.16/4.99 tff(f72763,plain,(
% 26.16/4.99 spl4009_1159 | ~spl4009_68 | ~spl4009_781),
% 26.16/4.99 inference(avatar_split_clause,[],[f71168,f70858,f67366,f72760])).
% 26.16/4.99 tff(f72760,plain,(
% 26.16/4.99 spl4009_1159 <=> sP73(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1159])])).
% 26.16/4.99 tff(f71168,plain,(
% 26.16/4.99 sP73(rat) | (~spl4009_68 | ~spl4009_781)),
% 26.16/4.99 inference(resolution,[],[f70859,f67368])).
% 26.16/4.99 tff(f72758,plain,(
% 26.16/4.99 spl4009_1158),
% 26.16/4.99 inference(avatar_split_clause,[],[f38697,f72756])).
% 26.16/4.99 tff(f72756,plain,(
% 26.16/4.99 spl4009_1158 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP17(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP18(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1158])])).
% 26.16/4.99 tff(f38697,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP17(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP18(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28663])).
% 26.16/4.99 tff(f72754,plain,(
% 26.16/4.99 spl4009_1157),
% 26.16/4.99 inference(avatar_split_clause,[],[f38689,f72752])).
% 26.16/4.99 tff(f72752,plain,(
% 26.16/4.99 spl4009_1157 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo6688025880775521714ounded(X0,X1) | ~sP15(X0,X1) | ~sP16(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1157])])).
% 26.16/4.99 tff(f38689,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo6688025880775521714ounded(X0,X1) | ~sP15(X0,X1) | ~sP16(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28655])).
% 26.16/4.99 tff(f28655,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo6688025880775521714ounded(X0,X1) | ~sP15(X0,X1)) & (sP15(X0,X1) | ~topolo6688025880775521714ounded(X0,X1))) | ~sP16(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27404])).
% 26.16/4.99 tff(f27404,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo6688025880775521714ounded(X0,X1) <=> sP15(X0,X1)) | ~sP16(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])])).
% 26.16/4.99 tff(f72750,plain,(
% 26.16/4.99 spl4009_1156),
% 26.16/4.99 inference(avatar_split_clause,[],[f38688,f72748])).
% 26.16/4.99 tff(f72748,plain,(
% 26.16/4.99 spl4009_1156 <=> ! [X0 : $tType,X1 : set(X0)] : (sP15(X0,X1) | ~topolo6688025880775521714ounded(X0,X1) | ~sP16(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1156])])).
% 26.16/4.99 tff(f38688,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP15(X0,X1) | ~topolo6688025880775521714ounded(X0,X1) | ~sP16(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28655])).
% 26.16/4.99 tff(f72746,plain,(
% 26.16/4.99 spl4009_1155),
% 26.16/4.99 inference(avatar_split_clause,[],[f38644,f72744])).
% 26.16/4.99 tff(f72744,plain,(
% 26.16/4.99 spl4009_1155 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP11(X0,X1) | ~sP12(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1155])])).
% 26.16/4.99 tff(f38644,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP11(X0,X1) | ~sP12(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28615])).
% 26.16/4.99 tff(f28615,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP11(X0,X1)) & (sP11(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP12(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27398])).
% 26.16/4.99 tff(f27398,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP11(X0,X1)) | ~sP12(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])])).
% 26.16/4.99 tff(f72742,plain,(
% 26.16/4.99 spl4009_1154),
% 26.16/4.99 inference(avatar_split_clause,[],[f38643,f72740])).
% 26.16/4.99 tff(f72740,plain,(
% 26.16/4.99 spl4009_1154 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP11(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP12(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1154])])).
% 26.16/4.99 tff(f38643,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP11(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP12(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28615])).
% 26.16/4.99 tff(f72738,plain,(
% 26.16/4.99 spl4009_1153),
% 26.16/4.99 inference(avatar_split_clause,[],[f38636,f72736])).
% 26.16/4.99 tff(f72736,plain,(
% 26.16/4.99 spl4009_1153 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP9(X0,X1) | ~sP10(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1153])])).
% 26.16/4.99 tff(f38636,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) | ~sP9(X0,X1) | ~sP10(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28607])).
% 26.16/4.99 tff(f28607,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : ((topolo3814608138187158403Cauchy(X0,X1) | ~sP9(X0,X1)) & (sP9(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1))) | ~sP10(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27395])).
% 26.16/4.99 tff(f27395,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> sP9(X0,X1)) | ~sP10(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])])).
% 26.16/4.99 tff(f72734,plain,(
% 26.16/4.99 spl4009_1152),
% 26.16/4.99 inference(avatar_split_clause,[],[f38635,f72732])).
% 26.16/4.99 tff(f72732,plain,(
% 26.16/4.99 spl4009_1152 <=> ! [X0 : $tType,X1 : fun(nat,X0)] : (sP9(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP10(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1152])])).
% 26.16/4.99 tff(f38635,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : fun(nat,X0)] : (sP9(X0,X1) | ~topolo3814608138187158403Cauchy(X0,X1) | ~sP10(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28607])).
% 26.16/4.99 tff(f72730,plain,(
% 26.16/4.99 spl4009_1151),
% 26.16/4.99 inference(avatar_split_clause,[],[f38348,f72728])).
% 26.16/4.99 tff(f72728,plain,(
% 26.16/4.99 spl4009_1151 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ~sP1(X0,X1) | ~sP2(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1151])])).
% 26.16/4.99 tff(f38348,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ~sP1(X0,X1) | ~sP2(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28432])).
% 26.16/4.99 tff(f28432,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ((topolo1966860045006549960nected(X0,X1) | ~sP1(X0,X1)) & (sP1(X0,X1) | ~topolo1966860045006549960nected(X0,X1))) | ~sP2(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27383])).
% 26.16/4.99 tff(f27383,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> sP1(X0,X1)) | ~sP2(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).
% 26.16/4.99 tff(f72726,plain,(
% 26.16/4.99 spl4009_1150),
% 26.16/4.99 inference(avatar_split_clause,[],[f38347,f72724])).
% 26.16/4.99 tff(f72724,plain,(
% 26.16/4.99 spl4009_1150 <=> ! [X0 : $tType,X1 : set(X0)] : (sP1(X0,X1) | ~topolo1966860045006549960nected(X0,X1) | ~sP2(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1150])])).
% 26.16/4.99 tff(f38347,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (sP1(X0,X1) | ~topolo1966860045006549960nected(X0,X1) | ~sP2(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28432])).
% 26.16/4.99 tff(f72722,plain,(
% 26.16/4.99 spl4009_1149),
% 26.16/4.99 inference(avatar_split_clause,[],[f38346,f72720])).
% 26.16/4.99 tff(f72720,plain,(
% 26.16/4.99 spl4009_1149 <=> ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | sP0(X0,X1) | ~topolo8458572112393995274pology(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1149])])).
% 26.16/4.99 tff(f38346,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | sP0(X0,X1) | ~topolo8458572112393995274pology(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f27381])).
% 26.16/4.99 tff(f27381,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | sP0(X0,X1)) | ~topolo8458572112393995274pology(X0))),
% 26.16/4.99 inference(definition_folding,[],[f18895,f27380])).
% 26.16/4.99 tff(f27380,plain,(
% 26.16/4.99 ! [X1 : set(X0),X0 : $tType] : (? [X2 : X0,X3 : X0,X4 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) & 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))) | ~sP0(X0,X1))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
% 26.16/4.99 tff(f18895,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ? [X2 : X0,X3 : X0,X4 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4)) & 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)))) | ~topolo8458572112393995274pology(X0))),
% 26.16/4.99 inference(flattening,[],[f18894])).
% 26.16/4.99 tff(f18894,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) | ? [X2 : X0,X3 : X0,X4 : X0] : ((((~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))) & 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)))) | ~topolo8458572112393995274pology(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f10415])).
% 26.16/4.99 tff(f10415,plain,(
% 26.16/4.99 ! [X0 : $tType] : (topolo8458572112393995274pology(X0) => ! [X1 : set(X0)] : (! [X2 : X0,X3 : X0,X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X1)) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(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),X4),X3)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)))))) => topolo1966860045006549960nected(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f7132])).
% 26.16/4.99 tff(f7132,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (topolo8458572112393995274pology(X0) => ! [X280 : set(X0)] : (! [X52 : X0,X53 : X0,X99 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X52),X280)) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X53),X280)) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X52),X99)) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X99),X53)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X99),X280)))))) => topolo1966860045006549960nected(X0,X280)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7131_connectedI__interval)).
% 26.16/4.99 tff(f72718,plain,(
% 26.16/4.99 spl4009_1148 | ~spl4009_69 | ~spl4009_780),
% 26.16/4.99 inference(avatar_split_clause,[],[f71167,f70854,f67371,f72715])).
% 26.16/4.99 tff(f72715,plain,(
% 26.16/4.99 spl4009_1148 <=> sP70(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1148])])).
% 26.16/4.99 tff(f70854,plain,(
% 26.16/4.99 spl4009_780 <=> ! [X0 : $tType] : (sP70(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_780])])).
% 26.16/4.99 tff(f71167,plain,(
% 26.16/4.99 sP70(real) | (~spl4009_69 | ~spl4009_780)),
% 26.16/4.99 inference(resolution,[],[f70855,f67373])).
% 26.16/4.99 tff(f70855,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP70(X0)) ) | ~spl4009_780),
% 26.16/4.99 inference(avatar_component_clause,[],[f70854])).
% 26.16/4.99 tff(f72713,plain,(
% 26.16/4.99 spl4009_1147),
% 26.16/4.99 inference(avatar_split_clause,[],[f38333,f72711])).
% 26.16/4.99 tff(f72711,plain,(
% 26.16/4.99 spl4009_1147 <=> ! [X0 : bool] : (~pp(X0) | ~pp(aa(bool,bool,fNot,X0)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1147])])).
% 26.16/4.99 tff(f38333,plain,(
% 26.16/4.99 ( ! [X0 : bool] : (~pp(X0) | ~pp(aa(bool,bool,fNot,X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10399])).
% 26.16/4.99 tff(f10399,plain,(
% 26.16/4.99 ! [X0 : bool] : (~pp(X0) | ~pp(aa(bool,bool,fNot,X0)))),
% 26.16/4.99 inference(rectify,[],[f9916])).
% 26.16/4.99 tff(f9916,axiom,(
% 26.16/4.99 ! [X45 : bool] : (~pp(X45) | ~pp(aa(bool,bool,fNot,X45)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_1_1_U)).
% 26.16/4.99 tff(f72709,plain,(
% 26.16/4.99 spl4009_1146),
% 26.16/4.99 inference(avatar_split_clause,[],[f38331,f72707])).
% 26.16/4.99 tff(f72707,plain,(
% 26.16/4.99 spl4009_1146 <=> ! [X0 : bool] : (pp(aa(bool,bool,fNot,X0)) | pp(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1146])])).
% 26.16/4.99 tff(f38331,plain,(
% 26.16/4.99 ( ! [X0 : bool] : (pp(aa(bool,bool,fNot,X0)) | pp(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10397])).
% 26.16/4.99 tff(f10397,plain,(
% 26.16/4.99 ! [X0 : bool] : (pp(aa(bool,bool,fNot,X0)) | pp(X0))),
% 26.16/4.99 inference(rectify,[],[f9915])).
% 26.16/4.99 tff(f9915,axiom,(
% 26.16/4.99 ! [X45 : bool] : (pp(aa(bool,bool,fNot,X45)) | pp(X45))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_2_1_U)).
% 26.16/4.99 tff(f72705,plain,(
% 26.16/4.99 spl4009_1145),
% 26.16/4.99 inference(avatar_split_clause,[],[f37873,f72703])).
% 26.16/4.99 tff(f72703,plain,(
% 26.16/4.99 spl4009_1145 <=> ! [X0 : nat] : aa(nat,nat,semiring_1_of_nat(nat),X0) = X0),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1145])])).
% 26.16/4.99 tff(f37873,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (aa(nat,nat,semiring_1_of_nat(nat),X0) = X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10012])).
% 26.16/4.99 tff(f10012,plain,(
% 26.16/4.99 ! [X0 : nat] : aa(nat,nat,semiring_1_of_nat(nat),X0) = X0),
% 26.16/4.99 inference(rectify,[],[f3399])).
% 26.16/4.99 tff(f3399,axiom,(
% 26.16/4.99 ! [X35 : nat] : aa(nat,nat,semiring_1_of_nat(nat),X35) = X35),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3398_of__nat__id)).
% 26.16/4.99 tff(f72701,plain,(
% 26.16/4.99 spl4009_1144),
% 26.16/4.99 inference(avatar_split_clause,[],[f37870,f72699])).
% 26.16/4.99 tff(f72699,plain,(
% 26.16/4.99 spl4009_1144 <=> ! [X0 : num] : imaginary_unit != aa(num,complex,numeral_numeral(complex),X0)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1144])])).
% 26.16/4.99 tff(f37870,plain,(
% 26.16/4.99 ( ! [X0 : num] : (imaginary_unit != aa(num,complex,numeral_numeral(complex),X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10009])).
% 26.16/4.99 tff(f10009,plain,(
% 26.16/4.99 ! [X0 : num] : imaginary_unit != aa(num,complex,numeral_numeral(complex),X0)),
% 26.16/4.99 inference(rectify,[],[f3602])).
% 26.16/4.99 tff(f3602,axiom,(
% 26.16/4.99 ! [X116 : num] : aa(num,complex,numeral_numeral(complex),X116) != imaginary_unit),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3601_complex__i__not__numeral)).
% 26.16/4.99 tff(f72697,plain,(
% 26.16/4.99 spl4009_1143),
% 26.16/4.99 inference(avatar_split_clause,[],[f37863,f72695])).
% 26.16/4.99 tff(f72695,plain,(
% 26.16/4.99 spl4009_1143 <=> ! [X0 : $tType] : bot_bot(set(X0)) != top_top(set(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1143])])).
% 26.16/4.99 tff(f37863,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (bot_bot(set(X0)) != top_top(set(X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f4648])).
% 26.16/4.99 tff(f4648,axiom,(
% 26.16/4.99 ! [X0 : $tType] : bot_bot(set(X0)) != top_top(set(X0))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4647_empty__not__UNIV)).
% 26.16/4.99 tff(f72693,plain,(
% 26.16/4.99 spl4009_1142),
% 26.16/4.99 inference(avatar_split_clause,[],[f37587,f72690])).
% 26.16/4.99 tff(f72690,plain,(
% 26.16/4.99 spl4009_1142 <=> filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1142])])).
% 26.16/4.99 tff(f37587,plain,(
% 26.16/4.99 filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 26.16/4.99 inference(cnf_transformation,[],[f4999])).
% 26.16/4.99 tff(f4999,axiom,(
% 26.16/4.99 filterlim(nat,nat,suc,at_top(nat),at_top(nat))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4998_filterlim__Suc)).
% 26.16/4.99 tff(f72688,plain,(
% 26.16/4.99 spl4009_1141 | ~spl4009_68 | ~spl4009_780),
% 26.16/4.99 inference(avatar_split_clause,[],[f71166,f70854,f67366,f72685])).
% 26.16/4.99 tff(f72685,plain,(
% 26.16/4.99 spl4009_1141 <=> sP70(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1141])])).
% 26.16/4.99 tff(f71166,plain,(
% 26.16/4.99 sP70(rat) | (~spl4009_68 | ~spl4009_780)),
% 26.16/4.99 inference(resolution,[],[f70855,f67368])).
% 26.16/4.99 tff(f72677,plain,(
% 26.16/4.99 spl4009_1140 | ~spl4009_69 | ~spl4009_779),
% 26.16/4.99 inference(avatar_split_clause,[],[f71165,f70850,f67371,f72674])).
% 26.16/4.99 tff(f72674,plain,(
% 26.16/4.99 spl4009_1140 <=> sP67(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1140])])).
% 26.16/4.99 tff(f70850,plain,(
% 26.16/4.99 spl4009_779 <=> ! [X0 : $tType] : (sP67(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_779])])).
% 26.16/4.99 tff(f71165,plain,(
% 26.16/4.99 sP67(real) | (~spl4009_69 | ~spl4009_779)),
% 26.16/4.99 inference(resolution,[],[f70851,f67373])).
% 26.16/4.99 tff(f70851,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP67(X0)) ) | ~spl4009_779),
% 26.16/4.99 inference(avatar_component_clause,[],[f70850])).
% 26.16/4.99 tff(f72672,plain,(
% 26.16/4.99 spl4009_1139 | ~spl4009_68 | ~spl4009_779),
% 26.16/4.99 inference(avatar_split_clause,[],[f71164,f70850,f67366,f72669])).
% 26.16/4.99 tff(f72669,plain,(
% 26.16/4.99 spl4009_1139 <=> sP67(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1139])])).
% 26.16/4.99 tff(f71164,plain,(
% 26.16/4.99 sP67(rat) | (~spl4009_68 | ~spl4009_779)),
% 26.16/4.99 inference(resolution,[],[f70851,f67368])).
% 26.16/4.99 tff(f72667,plain,(
% 26.16/4.99 spl4009_1138 | ~spl4009_69 | ~spl4009_778),
% 26.16/4.99 inference(avatar_split_clause,[],[f71163,f70846,f67371,f72664])).
% 26.16/4.99 tff(f72664,plain,(
% 26.16/4.99 spl4009_1138 <=> sP64(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1138])])).
% 26.16/4.99 tff(f70846,plain,(
% 26.16/4.99 spl4009_778 <=> ! [X0 : $tType] : (sP64(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_778])])).
% 26.16/4.99 tff(f71163,plain,(
% 26.16/4.99 sP64(real) | (~spl4009_69 | ~spl4009_778)),
% 26.16/4.99 inference(resolution,[],[f70847,f67373])).
% 26.16/4.99 tff(f70847,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP64(X0)) ) | ~spl4009_778),
% 26.16/4.99 inference(avatar_component_clause,[],[f70846])).
% 26.16/4.99 tff(f72662,plain,(
% 26.16/4.99 spl4009_1137 | ~spl4009_68 | ~spl4009_778),
% 26.16/4.99 inference(avatar_split_clause,[],[f71162,f70846,f67366,f72659])).
% 26.16/4.99 tff(f72659,plain,(
% 26.16/4.99 spl4009_1137 <=> sP64(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1137])])).
% 26.16/4.99 tff(f71162,plain,(
% 26.16/4.99 sP64(rat) | (~spl4009_68 | ~spl4009_778)),
% 26.16/4.99 inference(resolution,[],[f70847,f67368])).
% 26.16/4.99 tff(f72657,plain,(
% 26.16/4.99 spl4009_1136 | ~spl4009_69 | ~spl4009_777),
% 26.16/4.99 inference(avatar_split_clause,[],[f71161,f70842,f67371,f72654])).
% 26.16/4.99 tff(f72654,plain,(
% 26.16/4.99 spl4009_1136 <=> sP61(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1136])])).
% 26.16/4.99 tff(f70842,plain,(
% 26.16/4.99 spl4009_777 <=> ! [X0 : $tType] : (sP61(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_777])])).
% 26.16/4.99 tff(f71161,plain,(
% 26.16/4.99 sP61(real) | (~spl4009_69 | ~spl4009_777)),
% 26.16/4.99 inference(resolution,[],[f70843,f67373])).
% 26.16/4.99 tff(f70843,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP61(X0)) ) | ~spl4009_777),
% 26.16/4.99 inference(avatar_component_clause,[],[f70842])).
% 26.16/4.99 tff(f72652,plain,(
% 26.16/4.99 spl4009_1135 | ~spl4009_68 | ~spl4009_777),
% 26.16/4.99 inference(avatar_split_clause,[],[f71160,f70842,f67366,f72649])).
% 26.16/4.99 tff(f72649,plain,(
% 26.16/4.99 spl4009_1135 <=> sP61(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1135])])).
% 26.16/4.99 tff(f71160,plain,(
% 26.16/4.99 sP61(rat) | (~spl4009_68 | ~spl4009_777)),
% 26.16/4.99 inference(resolution,[],[f70843,f67368])).
% 26.16/4.99 tff(f72642,plain,(
% 26.16/4.99 spl4009_1134 | ~spl4009_69 | ~spl4009_776),
% 26.16/4.99 inference(avatar_split_clause,[],[f71154,f70838,f67371,f72639])).
% 26.16/4.99 tff(f72639,plain,(
% 26.16/4.99 spl4009_1134 <=> sP58(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1134])])).
% 26.16/4.99 tff(f70838,plain,(
% 26.16/4.99 spl4009_776 <=> ! [X0 : $tType] : (sP58(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_776])])).
% 26.16/4.99 tff(f71154,plain,(
% 26.16/4.99 sP58(real) | (~spl4009_69 | ~spl4009_776)),
% 26.16/4.99 inference(resolution,[],[f70839,f67373])).
% 26.16/4.99 tff(f70839,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP58(X0)) ) | ~spl4009_776),
% 26.16/4.99 inference(avatar_component_clause,[],[f70838])).
% 26.16/4.99 tff(f72637,plain,(
% 26.16/4.99 spl4009_1133 | ~spl4009_68 | ~spl4009_776),
% 26.16/4.99 inference(avatar_split_clause,[],[f71153,f70838,f67366,f72634])).
% 26.16/4.99 tff(f72634,plain,(
% 26.16/4.99 spl4009_1133 <=> sP58(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1133])])).
% 26.16/4.99 tff(f71153,plain,(
% 26.16/4.99 sP58(rat) | (~spl4009_68 | ~spl4009_776)),
% 26.16/4.99 inference(resolution,[],[f70839,f67368])).
% 26.16/4.99 tff(f72631,plain,(
% 26.16/4.99 spl4009_1132 | ~spl4009_69 | ~spl4009_775),
% 26.16/4.99 inference(avatar_split_clause,[],[f71152,f70834,f67371,f72628])).
% 26.16/4.99 tff(f72628,plain,(
% 26.16/4.99 spl4009_1132 <=> sP55(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1132])])).
% 26.16/4.99 tff(f70834,plain,(
% 26.16/4.99 spl4009_775 <=> ! [X0 : $tType] : (sP55(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_775])])).
% 26.16/4.99 tff(f71152,plain,(
% 26.16/4.99 sP55(real) | (~spl4009_69 | ~spl4009_775)),
% 26.16/4.99 inference(resolution,[],[f70835,f67373])).
% 26.16/4.99 tff(f70835,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP55(X0)) ) | ~spl4009_775),
% 26.16/4.99 inference(avatar_component_clause,[],[f70834])).
% 26.16/4.99 tff(f72626,plain,(
% 26.16/4.99 spl4009_1131),
% 26.16/4.99 inference(avatar_split_clause,[],[f60575,f72624])).
% 26.16/4.99 tff(f72624,plain,(
% 26.16/4.99 spl4009_1131 <=> ! [X0 : list(nat),X1 : nat] : (size_num(one2) = X1 | ~sP277(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1131])])).
% 26.16/4.99 tff(f60575,plain,(
% 26.16/4.99 ( ! [X0 : list(nat),X1 : nat] : (size_num(one2) = X1 | ~sP277(X0,X1)) )),
% 26.16/4.99 inference(forward_demodulation,[],[f45788,f37568])).
% 26.16/4.99 tff(f45788,plain,(
% 26.16/4.99 ( ! [X0 : list(nat),X1 : nat] : (zero_zero(nat) = X1 | ~sP277(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31848])).
% 26.16/4.99 tff(f72622,plain,(
% 26.16/4.99 spl4009_1130),
% 26.16/4.99 inference(avatar_split_clause,[],[f60540,f72620])).
% 26.16/4.99 tff(f72620,plain,(
% 26.16/4.99 spl4009_1130 <=> ! [X0 : nat,X1 : list(nat)] : (size_num(one2) = X0 | ~sP276(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1130])])).
% 26.16/4.99 tff(f60540,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : list(nat)] : (size_num(one2) = X0 | ~sP276(X0,X1)) )),
% 26.16/4.99 inference(forward_demodulation,[],[f45757,f37568])).
% 26.16/4.99 tff(f45757,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : list(nat)] : (zero_zero(nat) = X0 | ~sP276(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31828])).
% 26.16/4.99 tff(f72618,plain,(
% 26.16/4.99 spl4009_1129),
% 26.16/4.99 inference(avatar_split_clause,[],[f60393,f72616])).
% 26.16/4.99 tff(f72616,plain,(
% 26.16/4.99 spl4009_1129 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP248(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1129])])).
% 26.16/4.99 tff(f60393,plain,(
% 26.16/4.99 ( ! [X0 : vEBT_VEBT,X1 : nat] : (size_num(one2) = X1 | ~sP248(X0,X1)) )),
% 26.16/4.99 inference(forward_demodulation,[],[f45561,f37568])).
% 26.16/4.99 tff(f45561,plain,(
% 26.16/4.99 ( ! [X0 : vEBT_VEBT,X1 : nat] : (zero_zero(nat) = X1 | ~sP248(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31663])).
% 26.16/4.99 tff(f72614,plain,(
% 26.16/4.99 spl4009_1128 | ~spl4009_68 | ~spl4009_775),
% 26.16/4.99 inference(avatar_split_clause,[],[f71151,f70834,f67366,f72611])).
% 26.16/4.99 tff(f72611,plain,(
% 26.16/4.99 spl4009_1128 <=> sP55(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1128])])).
% 26.16/4.99 tff(f71151,plain,(
% 26.16/4.99 sP55(rat) | (~spl4009_68 | ~spl4009_775)),
% 26.16/4.99 inference(resolution,[],[f70835,f67368])).
% 26.16/4.99 tff(f72609,plain,(
% 26.16/4.99 spl4009_1127),
% 26.16/4.99 inference(avatar_split_clause,[],[f59987,f72607])).
% 26.16/4.99 tff(f72607,plain,(
% 26.16/4.99 spl4009_1127 <=> ! [X1 : nat] : bit_se1065995026697491101ons_or(nat,size_num(one2),X1) = X1),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1127])])).
% 26.16/4.99 tff(f59987,plain,(
% 26.16/4.99 ( ! [X1 : nat] : (bit_se1065995026697491101ons_or(nat,size_num(one2),X1) = X1) )),
% 26.16/4.99 inference(forward_demodulation,[],[f56747,f37568])).
% 26.16/4.99 tff(f56747,plain,(
% 26.16/4.99 ( ! [X1 : nat] : (bit_se1065995026697491101ons_or(nat,zero_zero(nat),X1) = X1) )),
% 26.16/4.99 inference(equality_resolution,[],[f44595])).
% 26.16/4.99 tff(f44595,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : nat] : (bit_se1065995026697491101ons_or(nat,X0,X1) = X1 | zero_zero(nat) != X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f23181])).
% 26.16/4.99 tff(f23181,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : 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),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se1065995026697491101ons_or(nat,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | zero_zero(nat) = X1) & (bit_se1065995026697491101ons_or(nat,X0,X1) = X0 | zero_zero(nat) != X1)) | zero_zero(nat) = X0) & (bit_se1065995026697491101ons_or(nat,X0,X1) = X1 | zero_zero(nat) != X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f14289])).
% 26.16/4.99 tff(f14289,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : nat] : ((zero_zero(nat) != X0 => ((zero_zero(nat) != X1 => 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),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se1065995026697491101ons_or(nat,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (zero_zero(nat) = X1 => bit_se1065995026697491101ons_or(nat,X0,X1) = X0))) & (zero_zero(nat) = X0 => bit_se1065995026697491101ons_or(nat,X0,X1) = X1))),
% 26.16/4.99 inference(rectify,[],[f2548])).
% 26.16/4.99 tff(f2548,axiom,(
% 26.16/4.99 ! [X82 : nat,X35 : nat] : ((zero_zero(nat) != X82 => ((zero_zero(nat) != X35 => bit_se1065995026697491101ons_or(nat,X82,X35) = 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,X82,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X35,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se1065995026697491101ons_or(nat,divide_divide(nat,X82,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X35,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (zero_zero(nat) = X35 => bit_se1065995026697491101ons_or(nat,X82,X35) = X82))) & (zero_zero(nat) = X82 => bit_se1065995026697491101ons_or(nat,X82,X35) = X35))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2547_or__nat__unfold)).
% 26.16/4.99 tff(f72605,plain,(
% 26.16/4.99 spl4009_1126),
% 26.16/4.99 inference(avatar_split_clause,[],[f59979,f72603])).
% 26.16/4.99 tff(f72603,plain,(
% 26.16/4.99 spl4009_1126 <=> ! [X1 : nat] : bit_se5824344971392196577ns_xor(nat,size_num(one2),X1) = X1),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1126])])).
% 26.16/4.99 tff(f59979,plain,(
% 26.16/4.99 ( ! [X1 : nat] : (bit_se5824344971392196577ns_xor(nat,size_num(one2),X1) = X1) )),
% 26.16/4.99 inference(forward_demodulation,[],[f56745,f37568])).
% 26.16/4.99 tff(f56745,plain,(
% 26.16/4.99 ( ! [X1 : nat] : (bit_se5824344971392196577ns_xor(nat,zero_zero(nat),X1) = X1) )),
% 26.16/4.99 inference(equality_resolution,[],[f44592])).
% 26.16/4.99 tff(f44592,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : nat] : (bit_se5824344971392196577ns_xor(nat,X0,X1) = X1 | zero_zero(nat) != X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f23180])).
% 26.16/4.99 tff(f23180,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : 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),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se5824344971392196577ns_xor(nat,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) | zero_zero(nat) = X1) & (bit_se5824344971392196577ns_xor(nat,X0,X1) = X0 | zero_zero(nat) != X1)) | zero_zero(nat) = X0) & (bit_se5824344971392196577ns_xor(nat,X0,X1) = X1 | zero_zero(nat) != X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f14288])).
% 26.16/4.99 tff(f14288,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : nat] : ((zero_zero(nat) != X0 => ((zero_zero(nat) != X1 => 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),aa(num,num,bit0,one2)))),modulo_modulo(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se5824344971392196577ns_xor(nat,divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X1,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (zero_zero(nat) = X1 => bit_se5824344971392196577ns_xor(nat,X0,X1) = X0))) & (zero_zero(nat) = X0 => bit_se5824344971392196577ns_xor(nat,X0,X1) = X1))),
% 26.16/4.99 inference(rectify,[],[f3606])).
% 26.16/4.99 tff(f3606,axiom,(
% 26.16/4.99 ! [X82 : nat,X35 : nat] : ((zero_zero(nat) != X82 => ((zero_zero(nat) != X35 => bit_se5824344971392196577ns_xor(nat,X82,X35) = 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,X82,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),modulo_modulo(nat,X35,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),bit_se5824344971392196577ns_xor(nat,divide_divide(nat,X82,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,X35,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))) & (zero_zero(nat) = X35 => bit_se5824344971392196577ns_xor(nat,X82,X35) = X82))) & (zero_zero(nat) = X82 => bit_se5824344971392196577ns_xor(nat,X82,X35) = X35))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3605_xor__nat__unfold)).
% 26.16/4.99 tff(f72601,plain,(
% 26.16/4.99 spl4009_1125),
% 26.16/4.99 inference(avatar_split_clause,[],[f58032,f72599])).
% 26.16/4.99 tff(f72599,plain,(
% 26.16/4.99 spl4009_1125 <=> ! [X0 : nat] : divide_divide(nat,X0,one_one(nat)) = X0),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1125])])).
% 26.16/4.99 tff(f58032,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (divide_divide(nat,X0,one_one(nat)) = X0) )),
% 26.16/4.99 inference(forward_demodulation,[],[f58031,f57908])).
% 26.16/4.99 tff(f58031,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (divide_divide(nat,X0,aa(nat,nat,suc,size_num(one2))) = X0) )),
% 26.16/4.99 inference(forward_demodulation,[],[f37906,f37568])).
% 26.16/4.99 tff(f37906,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (divide_divide(nat,X0,aa(nat,nat,suc,zero_zero(nat))) = X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10032])).
% 26.16/4.99 tff(f10032,plain,(
% 26.16/4.99 ! [X0 : nat] : divide_divide(nat,X0,aa(nat,nat,suc,zero_zero(nat))) = X0),
% 26.16/4.99 inference(rectify,[],[f995])).
% 26.16/4.99 tff(f995,axiom,(
% 26.16/4.99 ! [X82 : nat] : divide_divide(nat,X82,aa(nat,nat,suc,zero_zero(nat))) = X82),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_994_div__by__Suc__0)).
% 26.16/4.99 tff(f72597,plain,(
% 26.16/4.99 spl4009_1124),
% 26.16/4.99 inference(avatar_split_clause,[],[f57924,f72594])).
% 26.16/4.99 tff(f72594,plain,(
% 26.16/4.99 spl4009_1124 <=> zero_zero(real) = cos(real,arg(imaginary_unit))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1124])])).
% 26.16/4.99 tff(f57924,plain,(
% 26.16/4.99 zero_zero(real) = cos(real,arg(imaginary_unit))),
% 26.16/4.99 inference(forward_demodulation,[],[f37626,f37622])).
% 26.16/4.99 tff(f37626,plain,(
% 26.16/4.99 zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 26.16/4.99 inference(cnf_transformation,[],[f2685])).
% 26.16/4.99 tff(f2685,axiom,(
% 26.16/4.99 zero_zero(real) = cos(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2684_cos__pi__half)).
% 26.16/4.99 tff(f72592,plain,(
% 26.16/4.99 spl4009_1123),
% 26.16/4.99 inference(avatar_split_clause,[],[f57923,f72589])).
% 26.16/4.99 tff(f72589,plain,(
% 26.16/4.99 spl4009_1123 <=> one_one(real) = sin(real,arg(imaginary_unit))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1123])])).
% 26.16/4.99 tff(f57923,plain,(
% 26.16/4.99 one_one(real) = sin(real,arg(imaginary_unit))),
% 26.16/4.99 inference(forward_demodulation,[],[f37625,f37622])).
% 26.16/4.99 tff(f37625,plain,(
% 26.16/4.99 one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 26.16/4.99 inference(cnf_transformation,[],[f2611])).
% 26.16/4.99 tff(f2611,axiom,(
% 26.16/4.99 one_one(real) = sin(real,divide_divide(real,pi,aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2610_sin__pi__half)).
% 26.16/4.99 tff(f72587,plain,(
% 26.16/4.99 spl4009_1122),
% 26.16/4.99 inference(avatar_split_clause,[],[f57917,f72584])).
% 26.16/4.99 tff(f72584,plain,(
% 26.16/4.99 spl4009_1122 <=> vEBT_vebt_buildup(size_num(one2)) = vEBT_vebt_buildup(one_one(nat))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1122])])).
% 26.16/4.99 tff(f57917,plain,(
% 26.16/4.99 vEBT_vebt_buildup(size_num(one2)) = vEBT_vebt_buildup(one_one(nat))),
% 26.16/4.99 inference(forward_demodulation,[],[f57916,f57904])).
% 26.16/4.99 tff(f57916,plain,(
% 26.16/4.99 vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(one_one(nat))),
% 26.16/4.99 inference(forward_demodulation,[],[f57915,f57908])).
% 26.16/4.99 tff(f57915,plain,(
% 26.16/4.99 vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,size_num(one2)))),
% 26.16/4.99 inference(forward_demodulation,[],[f37599,f37568])).
% 26.16/4.99 tff(f37599,plain,(
% 26.16/4.99 vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat)))),
% 26.16/4.99 inference(cnf_transformation,[],[f1357])).
% 26.16/4.99 tff(f1357,axiom,(
% 26.16/4.99 vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(aa(nat,nat,suc,zero_zero(nat)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1356_vebt__buildup_Osimps_I2_J)).
% 26.16/4.99 tff(f72582,plain,(
% 26.16/4.99 spl4009_1121),
% 26.16/4.99 inference(avatar_split_clause,[],[f57904,f72579])).
% 26.16/4.99 tff(f72579,plain,(
% 26.16/4.99 spl4009_1121 <=> vEBT_Leaf(fFalse,fFalse) = vEBT_vebt_buildup(size_num(one2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1121])])).
% 26.16/4.99 tff(f72577,plain,(
% 26.16/4.99 spl4009_1120),
% 26.16/4.99 inference(avatar_split_clause,[],[f57731,f72575])).
% 26.16/4.99 tff(f72575,plain,(
% 26.16/4.99 spl4009_1120 <=> ! [X2 : $tType,X5 : X2,X1 : X2,X3 : set(product_prod(X2,X2))] : sP659(X2,X1,X1,X3,X5,X5)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1120])])).
% 26.16/4.99 tff(f57731,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : set(product_prod(X2,X2)),X1 : X2,X5 : X2] : (sP659(X2,X1,X1,X3,X5,X5)) )),
% 26.16/4.99 inference(equality_resolution,[],[f57730])).
% 26.16/4.99 tff(f57730,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : set(product_prod(X2,X2)),X1 : X2,X4 : X2,X5 : X2] : (sP659(X2,X1,X1,X3,X4,X5) | X4 != X5) )),
% 26.16/4.99 inference(equality_resolution,[],[f53452])).
% 26.16/4.99 tff(f53452,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : set(product_prod(X2,X2)),X0 : X2,X1 : X2,X4 : X2,X5 : X2] : (sP659(X2,X0,X1,X3,X4,X5) | X0 != X1 | X4 != X5) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36618])).
% 26.16/4.99 tff(f36618,plain,(
% 26.16/4.99 ! [X0 : X2,X1 : X2,X2 : $tType,X3 : set(product_prod(X2,X2)),X4 : X2,X5 : X2] : ((sP659(X2,X0,X1,X3,X4,X5) | (X0 != X1 & ~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),aa(X2,fun(X2,product_prod(X2,X2)),product_Pair(X2,X2),X1),X0)),transitive_trancl(X2,X3)))) | (X4 != X5 & ~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),aa(X2,fun(X2,product_prod(X2,X2)),product_Pair(X2,X2),X4),X5)),transitive_trancl(X2,X3))))) & (((X0 = X1 | 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),aa(X2,fun(X2,product_prod(X2,X2)),product_Pair(X2,X2),X1),X0)),transitive_trancl(X2,X3)))) & (X4 = X5 | 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),aa(X2,fun(X2,product_prod(X2,X2)),product_Pair(X2,X2),X4),X5)),transitive_trancl(X2,X3))))) | ~sP659(X2,X0,X1,X3,X4,X5)))),
% 26.16/4.99 inference(rectify,[],[f36617])).
% 26.16/4.99 tff(f36617,plain,(
% 26.16/4.99 ! [X5 : X0,X2 : X0,X0 : $tType,X3 : set(product_prod(X0,X0)),X4 : X0,X1 : X0] : ((sP659(X0,X5,X2,X3,X4,X1) | (X2 != X5 & ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X5)),transitive_trancl(X0,X3)))) | (X1 != 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X1)),transitive_trancl(X0,X3))))) & (((X2 = X5 | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X5)),transitive_trancl(X0,X3)))) & (X1 = 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X1)),transitive_trancl(X0,X3))))) | ~sP659(X0,X5,X2,X3,X4,X1)))),
% 26.16/4.99 inference(flattening,[],[f36616])).
% 26.16/4.99 tff(f36616,plain,(
% 26.16/4.99 ! [X5 : X0,X2 : X0,X0 : $tType,X3 : set(product_prod(X0,X0)),X4 : X0,X1 : X0] : ((sP659(X0,X5,X2,X3,X4,X1) | ((X2 != X5 & ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X5)),transitive_trancl(X0,X3)))) | (X1 != 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X1)),transitive_trancl(X0,X3)))))) & (((X2 = X5 | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X5)),transitive_trancl(X0,X3)))) & (X1 = 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X1)),transitive_trancl(X0,X3))))) | ~sP659(X0,X5,X2,X3,X4,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28384])).
% 26.16/4.99 tff(f28384,plain,(
% 26.16/4.99 ! [X5 : X0,X2 : X0,X0 : $tType,X3 : set(product_prod(X0,X0)),X4 : X0,X1 : X0] : (sP659(X0,X5,X2,X3,X4,X1) <=> ((X2 = X5 | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X5)),transitive_trancl(X0,X3)))) & (X1 = 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X1)),transitive_trancl(X0,X3))))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP659])])).
% 26.16/4.99 tff(f72573,plain,(
% 26.16/4.99 spl4009_1119),
% 26.16/4.99 inference(avatar_split_clause,[],[f57723,f72571])).
% 26.16/4.99 tff(f72571,plain,(
% 26.16/4.99 spl4009_1119 <=> ! [X5 : $tType,X4 : set(product_prod(X5,X5)),X1 : X5,X3 : X5] : sP656(X5,X1,X1,X3,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1119])])).
% 26.16/4.99 tff(f57723,plain,(
% 26.16/4.99 ( ! [X5 : $tType,X3 : X5,X1 : X5,X4 : set(product_prod(X5,X5))] : (sP656(X5,X1,X1,X3,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f57722])).
% 26.16/4.99 tff(f57722,plain,(
% 26.16/4.99 ( ! [X5 : $tType,X3 : X5,X0 : X5,X1 : X5,X4 : set(product_prod(X5,X5))] : (sP656(X5,X0,X1,X3,X3,X4) | X0 != X1) )),
% 26.16/4.99 inference(equality_resolution,[],[f53409])).
% 26.16/4.99 tff(f53409,plain,(
% 26.16/4.99 ( ! [X5 : $tType,X2 : X5,X3 : X5,X0 : X5,X1 : X5,X4 : set(product_prod(X5,X5))] : (sP656(X5,X0,X1,X2,X3,X4) | X2 != X3 | X0 != X1) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36596])).
% 26.16/4.99 tff(f36596,plain,(
% 26.16/4.99 ! [X0 : X5,X1 : X5,X2 : X5,X3 : X5,X4 : set(product_prod(X5,X5)),X5 : $tType] : ((sP656(X5,X0,X1,X2,X3,X4) | (~sP655(X5,X4,X3,X2,X1,X0) & (~pp(aa(set(product_prod(X5,X5)),bool,aa(product_prod(X5,X5),fun(set(product_prod(X5,X5)),bool),member(product_prod(X5,X5)),aa(X5,product_prod(X5,X5),aa(X5,fun(X5,product_prod(X5,X5)),product_Pair(X5,X5),X0),X1)),aa(set(product_prod(X5,X5)),set(product_prod(X5,X5)),aa(set(product_prod(X5,X5)),fun(set(product_prod(X5,X5)),set(product_prod(X5,X5))),minus_minus(set(product_prod(X5,X5))),X4),id2(X5)))) | bNF_We1388413361240627857o_max2(X5,X4,X0,X2) != bNF_We1388413361240627857o_max2(X5,X4,X1,X3)) & ~pp(aa(set(product_prod(X5,X5)),bool,aa(product_prod(X5,X5),fun(set(product_prod(X5,X5)),bool),member(product_prod(X5,X5)),aa(X5,product_prod(X5,X5),aa(X5,fun(X5,product_prod(X5,X5)),product_Pair(X5,X5),bNF_We1388413361240627857o_max2(X5,X4,X0,X2)),bNF_We1388413361240627857o_max2(X5,X4,X1,X3))),aa(set(product_prod(X5,X5)),set(product_prod(X5,X5)),aa(set(product_prod(X5,X5)),fun(set(product_prod(X5,X5)),set(product_prod(X5,X5))),minus_minus(set(product_prod(X5,X5))),X4),id2(X5)))) & (X2 != X3 | X0 != X1))) & (sP655(X5,X4,X3,X2,X1,X0) | (pp(aa(set(product_prod(X5,X5)),bool,aa(product_prod(X5,X5),fun(set(product_prod(X5,X5)),bool),member(product_prod(X5,X5)),aa(X5,product_prod(X5,X5),aa(X5,fun(X5,product_prod(X5,X5)),product_Pair(X5,X5),X0),X1)),aa(set(product_prod(X5,X5)),set(product_prod(X5,X5)),aa(set(product_prod(X5,X5)),fun(set(product_prod(X5,X5)),set(product_prod(X5,X5))),minus_minus(set(product_prod(X5,X5))),X4),id2(X5)))) & bNF_We1388413361240627857o_max2(X5,X4,X0,X2) = bNF_We1388413361240627857o_max2(X5,X4,X1,X3)) | pp(aa(set(product_prod(X5,X5)),bool,aa(product_prod(X5,X5),fun(set(product_prod(X5,X5)),bool),member(product_prod(X5,X5)),aa(X5,product_prod(X5,X5),aa(X5,fun(X5,product_prod(X5,X5)),product_Pair(X5,X5),bNF_We1388413361240627857o_max2(X5,X4,X0,X2)),bNF_We1388413361240627857o_max2(X5,X4,X1,X3))),aa(set(product_prod(X5,X5)),set(product_prod(X5,X5)),aa(set(product_prod(X5,X5)),fun(set(product_prod(X5,X5)),set(product_prod(X5,X5))),minus_minus(set(product_prod(X5,X5))),X4),id2(X5)))) | (X2 = X3 & X0 = X1) | ~sP656(X5,X0,X1,X2,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f36595])).
% 26.16/4.99 tff(f36595,plain,(
% 26.16/4.99 ! [X2 : X0,X4 : X0,X3 : X0,X5 : X0,X1 : set(product_prod(X0,X0)),X0 : $tType] : ((sP656(X0,X2,X4,X3,X5,X1) | (~sP655(X0,X1,X5,X3,X4,X2) & (~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X4)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) | bNF_We1388413361240627857o_max2(X0,X1,X2,X3) != bNF_We1388413361240627857o_max2(X0,X1,X4,X5)) & ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),bNF_We1388413361240627857o_max2(X0,X1,X2,X3)),bNF_We1388413361240627857o_max2(X0,X1,X4,X5))),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) & (X3 != X5 | X2 != X4))) & (sP655(X0,X1,X5,X3,X4,X2) | (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X4)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) & bNF_We1388413361240627857o_max2(X0,X1,X2,X3) = bNF_We1388413361240627857o_max2(X0,X1,X4,X5)) | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),bNF_We1388413361240627857o_max2(X0,X1,X2,X3)),bNF_We1388413361240627857o_max2(X0,X1,X4,X5))),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) | (X3 = X5 & X2 = X4) | ~sP656(X0,X2,X4,X3,X5,X1)))),
% 26.16/4.99 inference(flattening,[],[f36594])).
% 26.16/4.99 tff(f36594,plain,(
% 26.16/4.99 ! [X2 : X0,X4 : X0,X3 : X0,X5 : X0,X1 : set(product_prod(X0,X0)),X0 : $tType] : ((sP656(X0,X2,X4,X3,X5,X1) | (~sP655(X0,X1,X5,X3,X4,X2) & (~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X4)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) | bNF_We1388413361240627857o_max2(X0,X1,X2,X3) != bNF_We1388413361240627857o_max2(X0,X1,X4,X5)) & ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),bNF_We1388413361240627857o_max2(X0,X1,X2,X3)),bNF_We1388413361240627857o_max2(X0,X1,X4,X5))),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) & (X3 != X5 | X2 != X4))) & ((sP655(X0,X1,X5,X3,X4,X2) | (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X4)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) & bNF_We1388413361240627857o_max2(X0,X1,X2,X3) = bNF_We1388413361240627857o_max2(X0,X1,X4,X5)) | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),bNF_We1388413361240627857o_max2(X0,X1,X2,X3)),bNF_We1388413361240627857o_max2(X0,X1,X4,X5))),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) | (X3 = X5 & X2 = X4)) | ~sP656(X0,X2,X4,X3,X5,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28378])).
% 26.16/4.99 tff(f28378,plain,(
% 26.16/4.99 ! [X2 : X0,X4 : X0,X3 : X0,X5 : X0,X1 : set(product_prod(X0,X0)),X0 : $tType] : (sP656(X0,X2,X4,X3,X5,X1) <=> (sP655(X0,X1,X5,X3,X4,X2) | (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X4)),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) & bNF_We1388413361240627857o_max2(X0,X1,X2,X3) = bNF_We1388413361240627857o_max2(X0,X1,X4,X5)) | 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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),bNF_We1388413361240627857o_max2(X0,X1,X2,X3)),bNF_We1388413361240627857o_max2(X0,X1,X4,X5))),aa(set(product_prod(X0,X0)),set(product_prod(X0,X0)),aa(set(product_prod(X0,X0)),fun(set(product_prod(X0,X0)),set(product_prod(X0,X0))),minus_minus(set(product_prod(X0,X0))),X1),id2(X0)))) | (X3 = X5 & X2 = X4)))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP656])])).
% 26.16/4.99 tff(f72569,plain,(
% 26.16/4.99 spl4009_1118),
% 26.16/4.99 inference(avatar_split_clause,[],[f57445,f72567])).
% 26.16/4.99 tff(f72567,plain,(
% 26.16/4.99 spl4009_1118 <=> ! [X3 : $tType,X1 : $tType,X0 : set(X1)] : sP588(X1,X3,X0,bot_bot(set(X3)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1118])])).
% 26.16/4.99 tff(f57445,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X0 : set(X1)] : (sP588(X1,X3,X0,bot_bot(set(X3)))) )),
% 26.16/4.99 inference(equality_resolution,[],[f51220])).
% 26.16/4.99 tff(f51220,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X2 : set(X3),X0 : set(X1)] : (sP588(X1,X3,X0,X2) | bot_bot(set(X3)) != X2) )),
% 26.16/4.99 inference(cnf_transformation,[],[f35311])).
% 26.16/4.99 tff(f35311,plain,(
% 26.16/4.99 ! [X0 : set(X1),X1 : $tType,X2 : set(X3),X3 : $tType] : ((sP588(X1,X3,X0,X2) | ((~pp(aa(set(X1),bool,finite_finite2(X1),X0)) | ~pp(aa(set(X3),bool,finite_finite2(X3),X2))) & bot_bot(set(X1)) != X0 & bot_bot(set(X3)) != X2)) & ((pp(aa(set(X1),bool,finite_finite2(X1),X0)) & pp(aa(set(X3),bool,finite_finite2(X3),X2))) | bot_bot(set(X1)) = X0 | bot_bot(set(X3)) = X2 | ~sP588(X1,X3,X0,X2)))),
% 26.16/4.99 inference(rectify,[],[f35310])).
% 26.16/4.99 tff(f35310,plain,(
% 26.16/4.99 ! [X3 : set(X1),X1 : $tType,X2 : set(X0),X0 : $tType] : ((sP588(X1,X0,X3,X2) | ((~pp(aa(set(X1),bool,finite_finite2(X1),X3)) | ~pp(aa(set(X0),bool,finite_finite2(X0),X2))) & bot_bot(set(X1)) != X3 & bot_bot(set(X0)) != X2)) & ((pp(aa(set(X1),bool,finite_finite2(X1),X3)) & pp(aa(set(X0),bool,finite_finite2(X0),X2))) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2 | ~sP588(X1,X0,X3,X2)))),
% 26.16/4.99 inference(flattening,[],[f35309])).
% 26.16/4.99 tff(f35309,plain,(
% 26.16/4.99 ! [X3 : set(X1),X1 : $tType,X2 : set(X0),X0 : $tType] : ((sP588(X1,X0,X3,X2) | ((~pp(aa(set(X1),bool,finite_finite2(X1),X3)) | ~pp(aa(set(X0),bool,finite_finite2(X0),X2))) & bot_bot(set(X1)) != X3 & bot_bot(set(X0)) != X2)) & (((pp(aa(set(X1),bool,finite_finite2(X1),X3)) & pp(aa(set(X0),bool,finite_finite2(X0),X2))) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2) | ~sP588(X1,X0,X3,X2)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28252])).
% 26.16/4.99 tff(f28252,plain,(
% 26.16/4.99 ! [X3 : set(X1),X1 : $tType,X2 : set(X0),X0 : $tType] : (sP588(X1,X0,X3,X2) <=> ((pp(aa(set(X1),bool,finite_finite2(X1),X3)) & pp(aa(set(X0),bool,finite_finite2(X0),X2))) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP588])])).
% 26.16/4.99 tff(f72565,plain,(
% 26.16/4.99 spl4009_1117 | ~spl4009_69 | ~spl4009_774),
% 26.16/4.99 inference(avatar_split_clause,[],[f71150,f70830,f67371,f72562])).
% 26.16/4.99 tff(f72562,plain,(
% 26.16/4.99 spl4009_1117 <=> sP52(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1117])])).
% 26.16/4.99 tff(f70830,plain,(
% 26.16/4.99 spl4009_774 <=> ! [X0 : $tType] : (sP52(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_774])])).
% 26.16/4.99 tff(f71150,plain,(
% 26.16/4.99 sP52(real) | (~spl4009_69 | ~spl4009_774)),
% 26.16/4.99 inference(resolution,[],[f70831,f67373])).
% 26.16/4.99 tff(f70831,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP52(X0)) ) | ~spl4009_774),
% 26.16/4.99 inference(avatar_component_clause,[],[f70830])).
% 26.16/4.99 tff(f72560,plain,(
% 26.16/4.99 spl4009_1116),
% 26.16/4.99 inference(avatar_split_clause,[],[f57444,f72558])).
% 26.16/4.99 tff(f72558,plain,(
% 26.16/4.99 spl4009_1116 <=> ! [X3 : $tType,X1 : $tType,X2 : set(X3)] : sP588(X1,X3,bot_bot(set(X1)),X2)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1116])])).
% 26.16/4.99 tff(f57444,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X2 : set(X3)] : (sP588(X1,X3,bot_bot(set(X1)),X2)) )),
% 26.16/4.99 inference(equality_resolution,[],[f51221])).
% 26.16/4.99 tff(f51221,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X2 : set(X3),X0 : set(X1)] : (sP588(X1,X3,X0,X2) | bot_bot(set(X1)) != X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f35311])).
% 26.16/4.99 tff(f72556,plain,(
% 26.16/4.99 spl4009_1115),
% 26.16/4.99 inference(avatar_split_clause,[],[f57174,f72554])).
% 26.16/4.99 tff(f72554,plain,(
% 26.16/4.99 spl4009_1115 <=> ! [X2 : nat,X0 : nat,X3 : bool] : (pp(X3) | ~sP484(X0,X2,X2,X3))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1115])])).
% 26.16/4.99 tff(f57174,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : bool,X0 : nat] : (pp(X3) | ~sP484(X0,X2,X2,X3)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48858])).
% 26.16/4.99 tff(f48858,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : bool,X0 : nat,X1 : nat] : (pp(X3) | X1 != X2 | ~sP484(X0,X1,X2,X3)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33820])).
% 26.16/4.99 tff(f33820,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : nat,X2 : nat,X3 : bool] : (((pp(X3) | (X0 != X1 & X1 != X2)) & (X0 = X1 | X1 = X2 | ~pp(X3))) | ~sP484(X0,X1,X2,X3))),
% 26.16/4.99 inference(rectify,[],[f33819])).
% 26.16/4.99 tff(f33819,plain,(
% 26.16/4.99 ! [X8 : nat,X1 : nat,X7 : nat,X2 : bool] : (((pp(X2) | (X1 != X8 & X1 != X7)) & (X1 = X8 | X1 = X7 | ~pp(X2))) | ~sP484(X8,X1,X7,X2))),
% 26.16/4.99 inference(flattening,[],[f33818])).
% 26.16/4.99 tff(f33818,plain,(
% 26.16/4.99 ! [X8 : nat,X1 : nat,X7 : nat,X2 : bool] : (((pp(X2) | (X1 != X8 & X1 != X7)) & ((X1 = X8 | X1 = X7) | ~pp(X2))) | ~sP484(X8,X1,X7,X2))),
% 26.16/4.99 inference(nnf_transformation,[],[f28082])).
% 26.16/4.99 tff(f28082,plain,(
% 26.16/4.99 ! [X8 : nat,X1 : nat,X7 : nat,X2 : bool] : ((pp(X2) <=> (X1 = X8 | X1 = X7)) | ~sP484(X8,X1,X7,X2))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP484])])).
% 26.16/4.99 tff(f72552,plain,(
% 26.16/4.99 spl4009_1114),
% 26.16/4.99 inference(avatar_split_clause,[],[f57173,f72550])).
% 26.16/4.99 tff(f72550,plain,(
% 26.16/4.99 spl4009_1114 <=> ! [X2 : nat,X1 : nat,X3 : bool] : (pp(X3) | ~sP484(X1,X1,X2,X3))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1114])])).
% 26.16/4.99 tff(f57173,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : bool,X1 : nat] : (pp(X3) | ~sP484(X1,X1,X2,X3)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48859])).
% 26.16/4.99 tff(f48859,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : bool,X0 : nat,X1 : nat] : (pp(X3) | X0 != X1 | ~sP484(X0,X1,X2,X3)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33820])).
% 26.16/4.99 tff(f72548,plain,(
% 26.16/4.99 spl4009_1113),
% 26.16/4.99 inference(avatar_split_clause,[],[f57168,f72546])).
% 26.16/4.99 tff(f72546,plain,(
% 26.16/4.99 spl4009_1113 <=> ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP483(one_one(nat),X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1113])])).
% 26.16/4.99 tff(f57168,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP483(one_one(nat),X1,X2)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48815])).
% 26.16/4.99 tff(f48815,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (one_one(nat) != X0 | pp(X1) | ~sP483(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33778])).
% 26.16/4.99 tff(f33778,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : (((one_one(nat) = X0 | ~pp(X1)) & (one_one(nat) != X0 | pp(X1)) & vEBT_Leaf(sK2922(X2),sK2923(X2)) = X2) | ~sP483(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2922,sK2923])],[f33776,f33777])).
% 26.16/4.99 tff(f33777,plain,(
% 26.16/4.99 ! [X2 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X2 => vEBT_Leaf(sK2922(X2),sK2923(X2)) = X2)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33776,plain,(
% 26.16/4.99 ! [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) | ~sP483(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33775])).
% 26.16/4.99 tff(f33775,plain,(
% 26.16/4.99 ! [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) | ~sP483(X1,X2,X0))),
% 26.16/4.99 inference(flattening,[],[f33774])).
% 26.16/4.99 tff(f33774,plain,(
% 26.16/4.99 ! [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) | ~sP483(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28080])).
% 26.16/4.99 tff(f28080,plain,(
% 26.16/4.99 ! [X1 : nat,X2 : bool,X0 : vEBT_VEBT] : (((pp(X2) <~> one_one(nat) != X1) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP483(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP483])])).
% 26.16/4.99 tff(f72544,plain,(
% 26.16/4.99 spl4009_1112),
% 26.16/4.99 inference(avatar_split_clause,[],[f57165,f72542])).
% 26.16/4.99 tff(f72542,plain,(
% 26.16/4.99 spl4009_1112 <=> ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP479(one_one(nat),X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1112])])).
% 26.16/4.99 tff(f57165,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X1 : bool] : (pp(X1) | ~sP479(one_one(nat),X1,X2)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48801])).
% 26.16/4.99 tff(f48801,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (pp(X1) | one_one(nat) != X0 | ~sP479(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33765])).
% 26.16/4.99 tff(f33765,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_VEBT_valid_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2919(X0,X1,X2),sK2920(X0,X1,X2))),X0)) & (pp(X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ~pp(X1)) & vEBT_Leaf(sK2919(X0,X1,X2),sK2920(X0,X1,X2)) = X2) | ~sP479(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2919,sK2920])],[f33763,f33764])).
% 26.16/4.99 tff(f33764,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2919(X0,X1,X2),sK2920(X0,X1,X2))),X0)) & (pp(X1) | one_one(nat) != X0) & (one_one(nat) = X0 | ~pp(X1)) & vEBT_Leaf(sK2919(X0,X1,X2),sK2920(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33763,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP479(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33762])).
% 26.16/4.99 tff(f33762,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP479(X1,X2,X0))),
% 26.16/4.99 inference(flattening,[],[f33761])).
% 26.16/4.99 tff(f33761,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP479(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28075])).
% 26.16/4.99 tff(f28075,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP479(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP479])])).
% 26.16/4.99 tff(f72540,plain,(
% 26.16/4.99 spl4009_1111),
% 26.16/4.99 inference(avatar_split_clause,[],[f56871,f72538])).
% 26.16/4.99 tff(f72538,plain,(
% 26.16/4.99 spl4009_1111 <=> ! [X3 : $tType,X1 : $tType,X0 : set(X1)] : sP291(X1,X3,X0,bot_bot(set(X3)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1111])])).
% 26.16/4.99 tff(f56871,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X0 : set(X1)] : (sP291(X1,X3,X0,bot_bot(set(X3)))) )),
% 26.16/4.99 inference(equality_resolution,[],[f46270])).
% 26.16/4.99 tff(f46270,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X2 : set(X3),X0 : set(X1)] : (sP291(X1,X3,X0,X2) | bot_bot(set(X3)) != X2) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32067])).
% 26.16/4.99 tff(f32067,plain,(
% 26.16/4.99 ! [X0 : set(X1),X1 : $tType,X2 : set(X3),X3 : $tType] : ((sP291(X1,X3,X0,X2) | ((~topolo1966860045006549960nected(X1,X0) | ~topolo1966860045006549960nected(X3,X2)) & bot_bot(set(X1)) != X0 & bot_bot(set(X3)) != X2)) & ((topolo1966860045006549960nected(X1,X0) & topolo1966860045006549960nected(X3,X2)) | bot_bot(set(X1)) = X0 | bot_bot(set(X3)) = X2 | ~sP291(X1,X3,X0,X2)))),
% 26.16/4.99 inference(rectify,[],[f32066])).
% 26.16/4.99 tff(f32066,plain,(
% 26.16/4.99 ! [X3 : set(X1),X1 : $tType,X2 : set(X0),X0 : $tType] : ((sP291(X1,X0,X3,X2) | ((~topolo1966860045006549960nected(X1,X3) | ~topolo1966860045006549960nected(X0,X2)) & bot_bot(set(X1)) != X3 & bot_bot(set(X0)) != X2)) & ((topolo1966860045006549960nected(X1,X3) & topolo1966860045006549960nected(X0,X2)) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2 | ~sP291(X1,X0,X3,X2)))),
% 26.16/4.99 inference(flattening,[],[f32065])).
% 26.16/4.99 tff(f32065,plain,(
% 26.16/4.99 ! [X3 : set(X1),X1 : $tType,X2 : set(X0),X0 : $tType] : ((sP291(X1,X0,X3,X2) | ((~topolo1966860045006549960nected(X1,X3) | ~topolo1966860045006549960nected(X0,X2)) & bot_bot(set(X1)) != X3 & bot_bot(set(X0)) != X2)) & (((topolo1966860045006549960nected(X1,X3) & topolo1966860045006549960nected(X0,X2)) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2) | ~sP291(X1,X0,X3,X2)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27830])).
% 26.16/4.99 tff(f27830,plain,(
% 26.16/4.99 ! [X3 : set(X1),X1 : $tType,X2 : set(X0),X0 : $tType] : (sP291(X1,X0,X3,X2) <=> ((topolo1966860045006549960nected(X1,X3) & topolo1966860045006549960nected(X0,X2)) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP291])])).
% 26.16/4.99 tff(f72536,plain,(
% 26.16/4.99 spl4009_1110),
% 26.16/4.99 inference(avatar_split_clause,[],[f56870,f72534])).
% 26.16/4.99 tff(f72534,plain,(
% 26.16/4.99 spl4009_1110 <=> ! [X3 : $tType,X1 : $tType,X2 : set(X3)] : sP291(X1,X3,bot_bot(set(X1)),X2)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1110])])).
% 26.16/4.99 tff(f56870,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X2 : set(X3)] : (sP291(X1,X3,bot_bot(set(X1)),X2)) )),
% 26.16/4.99 inference(equality_resolution,[],[f46271])).
% 26.16/4.99 tff(f46271,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X3 : $tType,X2 : set(X3),X0 : set(X1)] : (sP291(X1,X3,X0,X2) | bot_bot(set(X1)) != X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32067])).
% 26.16/4.99 tff(f72532,plain,(
% 26.16/4.99 spl4009_1109),
% 26.16/4.99 inference(avatar_split_clause,[],[f53634,f72530])).
% 26.16/4.99 tff(f72530,plain,(
% 26.16/4.99 spl4009_1109 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP674(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1109])])).
% 26.16/4.99 tff(f53634,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP674(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36705])).
% 26.16/4.99 tff(f36705,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK3906(X0)),sK3907(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK3906(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2) | ~sP674(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3906,sK3907])],[f36702,f36704,f36703])).
% 26.16/4.99 tff(f36703,plain,(
% 26.16/4.99 ! [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,sK3906(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK3906(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f36704,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK3906(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK3906(X0)),sK3907(X0))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f36702,plain,(
% 26.16/4.99 ! [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) | ~sP674(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f36701])).
% 26.16/4.99 tff(f36701,plain,(
% 26.16/4.99 ! [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) | ~sP674(X0,X6,X5))),
% 26.16/4.99 inference(nnf_transformation,[],[f28407])).
% 26.16/4.99 tff(f28407,plain,(
% 26.16/4.99 ! [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) | ~sP674(X0,X6,X5))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP674])])).
% 26.16/4.99 tff(f72528,plain,(
% 26.16/4.99 spl4009_1108),
% 26.16/4.99 inference(avatar_split_clause,[],[f53619,f72526])).
% 26.16/4.99 tff(f72526,plain,(
% 26.16/4.99 spl4009_1108 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP670(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1108])])).
% 26.16/4.99 tff(f53619,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (X1 = X2 | ~sP670(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36684])).
% 26.16/4.99 tff(f36684,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : (((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK3899(X0)),sK3900(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK3899(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))) & X1 = X2) | ~sP670(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3899,sK3900])],[f36681,f36683,f36682])).
% 26.16/4.99 tff(f36682,plain,(
% 26.16/4.99 ! [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,sK3899(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK3899(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f36683,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK3899(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK3899(X0)),sK3900(X0))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f36681,plain,(
% 26.16/4.99 ! [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) | ~sP670(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f36680])).
% 26.16/4.99 tff(f36680,plain,(
% 26.16/4.99 ! [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) | ~sP670(X0,X6,X5))),
% 26.16/4.99 inference(nnf_transformation,[],[f28402])).
% 26.16/4.99 tff(f28402,plain,(
% 26.16/4.99 ! [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) | ~sP670(X0,X6,X5))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP670])])).
% 26.16/4.99 tff(f72524,plain,(
% 26.16/4.99 spl4009_1107),
% 26.16/4.99 inference(avatar_split_clause,[],[f50797,f72522])).
% 26.16/4.99 tff(f72522,plain,(
% 26.16/4.99 spl4009_1107 <=> ! [X0 : $tType,X2 : bool,X1 : fun(X0,fun(X0,bool)),X3 : list(X0)] : (pp(X2) | ~sP567(X0,X1,X2,X3))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1107])])).
% 26.16/4.99 tff(f50797,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : bool,X3 : list(X0),X1 : fun(X0,fun(X0,bool))] : (pp(X2) | ~sP567(X0,X1,X2,X3)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34962])).
% 26.16/4.99 tff(f34962,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X2 : bool,X3 : list(X0)] : ((accp(product_prod(fun(X0,fun(X0,bool)),list(X0)),sorted_wrt_rel(X0),aa(list(X0),product_prod(fun(X0,fun(X0,bool)),list(X0)),aa(fun(X0,fun(X0,bool)),fun(list(X0),product_prod(fun(X0,fun(X0,bool)),list(X0))),product_Pair(fun(X0,fun(X0,bool)),list(X0)),X1),nil(X0))) & pp(X2) & nil(X0) = X3) | ~sP567(X0,X1,X2,X3))),
% 26.16/4.99 inference(rectify,[],[f34961])).
% 26.16/4.99 tff(f34961,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X3 : bool,X2 : list(X0)] : ((accp(product_prod(fun(X0,fun(X0,bool)),list(X0)),sorted_wrt_rel(X0),aa(list(X0),product_prod(fun(X0,fun(X0,bool)),list(X0)),aa(fun(X0,fun(X0,bool)),fun(list(X0),product_prod(fun(X0,fun(X0,bool)),list(X0))),product_Pair(fun(X0,fun(X0,bool)),list(X0)),X1),nil(X0))) & pp(X3) & nil(X0) = X2) | ~sP567(X0,X1,X3,X2))),
% 26.16/4.99 inference(nnf_transformation,[],[f28213])).
% 26.16/4.99 tff(f28213,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : fun(X0,fun(X0,bool)),X3 : bool,X2 : list(X0)] : ((accp(product_prod(fun(X0,fun(X0,bool)),list(X0)),sorted_wrt_rel(X0),aa(list(X0),product_prod(fun(X0,fun(X0,bool)),list(X0)),aa(fun(X0,fun(X0,bool)),fun(list(X0),product_prod(fun(X0,fun(X0,bool)),list(X0))),product_Pair(fun(X0,fun(X0,bool)),list(X0)),X1),nil(X0))) & pp(X3) & nil(X0) = X2) | ~sP567(X0,X1,X3,X2))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP567])])).
% 26.16/4.99 tff(f72520,plain,(
% 26.16/4.99 spl4009_1106 | ~spl4009_68 | ~spl4009_774),
% 26.16/4.99 inference(avatar_split_clause,[],[f71149,f70830,f67366,f72517])).
% 26.16/4.99 tff(f72517,plain,(
% 26.16/4.99 spl4009_1106 <=> sP52(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1106])])).
% 26.16/4.99 tff(f71149,plain,(
% 26.16/4.99 sP52(rat) | (~spl4009_68 | ~spl4009_774)),
% 26.16/4.99 inference(resolution,[],[f70831,f67368])).
% 26.16/4.99 tff(f72515,plain,(
% 26.16/4.99 spl4009_1105),
% 26.16/4.99 inference(avatar_split_clause,[],[f48146,f72513])).
% 26.16/4.99 tff(f72513,plain,(
% 26.16/4.99 spl4009_1105 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP420(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1105])])).
% 26.16/4.99 tff(f48146,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP420(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33387])).
% 26.16/4.99 tff(f33387,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & one2 = X2) | ~sP420(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33386])).
% 26.16/4.99 tff(f33386,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP420(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27997])).
% 26.16/4.99 tff(f27997,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP420(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP420])])).
% 26.16/4.99 tff(f72511,plain,(
% 26.16/4.99 spl4009_1104),
% 26.16/4.99 inference(avatar_split_clause,[],[f48145,f72509])).
% 26.16/4.99 tff(f72509,plain,(
% 26.16/4.99 spl4009_1104 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP420(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1104])])).
% 26.16/4.99 tff(f48145,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP420(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33387])).
% 26.16/4.99 tff(f72507,plain,(
% 26.16/4.99 spl4009_1103),
% 26.16/4.99 inference(avatar_split_clause,[],[f48142,f72505])).
% 26.16/4.99 tff(f72505,plain,(
% 26.16/4.99 spl4009_1103 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP421(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1103])])).
% 26.16/4.99 tff(f48142,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP421(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33385])).
% 26.16/4.99 tff(f33385,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,sK2690(X1)) = X1 & one2 = X2) | ~sP421(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2690])],[f33383,f33384])).
% 26.16/4.99 tff(f33384,plain,(
% 26.16/4.99 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X1 => aa(num,num,bit0,sK2690(X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33383,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X2) | ~sP421(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33382])).
% 26.16/4.99 tff(f33382,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X0) | ~sP421(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27998])).
% 26.16/4.99 tff(f27998,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X0) | ~sP421(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP421])])).
% 26.16/4.99 tff(f72503,plain,(
% 26.16/4.99 spl4009_1102),
% 26.16/4.99 inference(avatar_split_clause,[],[f48139,f72501])).
% 26.16/4.99 tff(f72501,plain,(
% 26.16/4.99 spl4009_1102 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP422(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1102])])).
% 26.16/4.99 tff(f48139,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP422(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33381])).
% 26.16/4.99 tff(f33381,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & aa(num,num,bit1,sK2689(X1)) = X1 & one2 = X2) | ~sP422(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2689])],[f33379,f33380])).
% 26.16/4.99 tff(f33380,plain,(
% 26.16/4.99 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X1 => aa(num,num,bit1,sK2689(X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33379,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & ? [X3 : num] : aa(num,num,bit1,X3) = X1 & one2 = X2) | ~sP422(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33378])).
% 26.16/4.99 tff(f33378,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X4 : num] : aa(num,num,bit1,X4) = X1 & one2 = X0) | ~sP422(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27999])).
% 26.16/4.99 tff(f27999,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X4 : num] : aa(num,num,bit1,X4) = X1 & one2 = X0) | ~sP422(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP422])])).
% 26.16/4.99 tff(f72499,plain,(
% 26.16/4.99 spl4009_1101),
% 26.16/4.99 inference(avatar_split_clause,[],[f48137,f72497])).
% 26.16/4.99 tff(f72497,plain,(
% 26.16/4.99 spl4009_1101 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP423(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1101])])).
% 26.16/4.99 tff(f48137,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP423(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33377])).
% 26.16/4.99 tff(f33377,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit0,sK2688(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2688(X0,X1,X2)) = X2) | ~sP423(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2688])],[f33375,f33376])).
% 26.16/4.99 tff(f33376,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (aa(num,option(num),some(num),aa(num,num,bit0,sK2688(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2688(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33375,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP423(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33374])).
% 26.16/4.99 tff(f33374,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP423(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28000])).
% 26.16/4.99 tff(f28000,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP423(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP423])])).
% 26.16/4.99 tff(f72495,plain,(
% 26.16/4.99 spl4009_1100),
% 26.16/4.99 inference(avatar_split_clause,[],[f48128,f72493])).
% 26.16/4.99 tff(f72493,plain,(
% 26.16/4.99 spl4009_1100 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP426(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1100])])).
% 26.16/4.99 tff(f48128,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP426(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33363])).
% 26.16/4.99 tff(f33363,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit0,sK2683(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2683(X0,X1,X2)) = X2) | ~sP426(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2683])],[f33361,f33362])).
% 26.16/4.99 tff(f33362,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (aa(num,option(num),some(num),aa(num,num,bit0,sK2683(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2683(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33361,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP426(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33360])).
% 26.16/4.99 tff(f33360,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP426(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28003])).
% 26.16/4.99 tff(f28003,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP426(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP426])])).
% 26.16/4.99 tff(f72491,plain,(
% 26.16/4.99 spl4009_1099),
% 26.16/4.99 inference(avatar_split_clause,[],[f48117,f72489])).
% 26.16/4.99 tff(f72489,plain,(
% 26.16/4.99 spl4009_1099 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP412(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1099])])).
% 26.16/4.99 tff(f48117,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP412(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33350])).
% 26.16/4.99 tff(f33350,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & none(num) = X0 & one2 = X1 & one2 = X2) | ~sP412(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33349])).
% 26.16/4.99 tff(f33349,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP412(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27988])).
% 26.16/4.99 tff(f27988,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP412(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP412])])).
% 26.16/4.99 tff(f72487,plain,(
% 26.16/4.99 spl4009_1098),
% 26.16/4.99 inference(avatar_split_clause,[],[f48116,f72485])).
% 26.16/4.99 tff(f72485,plain,(
% 26.16/4.99 spl4009_1098 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP412(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1098])])).
% 26.16/4.99 tff(f48116,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP412(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33350])).
% 26.16/4.99 tff(f72483,plain,(
% 26.16/4.99 spl4009_1097),
% 26.16/4.99 inference(avatar_split_clause,[],[f48112,f72481])).
% 26.16/4.99 tff(f72481,plain,(
% 26.16/4.99 spl4009_1097 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP413(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1097])])).
% 26.16/4.99 tff(f48112,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP413(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33348])).
% 26.16/4.99 tff(f33348,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2678(X0,X1)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,sK2678(X0,X1)) = X1) & one2 = X2) | ~sP413(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2678])],[f33346,f33347])).
% 26.16/4.99 tff(f33347,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,X3) = X1) => (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2678(X0,X1)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,sK2678(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33346,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP413(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33345])).
% 26.16/4.99 tff(f33345,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP413(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27989])).
% 26.16/4.99 tff(f27989,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP413(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP413])])).
% 26.16/4.99 tff(f72479,plain,(
% 26.16/4.99 spl4009_1096),
% 26.16/4.99 inference(avatar_split_clause,[],[f48108,f72477])).
% 26.16/4.99 tff(f72477,plain,(
% 26.16/4.99 spl4009_1096 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP414(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1096])])).
% 26.16/4.99 tff(f48108,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP414(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33344])).
% 26.16/4.99 tff(f33344,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2677(X0,X1)))) & none(num) = X0 & aa(num,num,bit1,sK2677(X0,X1)) = X1) & one2 = X2) | ~sP414(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2677])],[f33342,f33343])).
% 26.16/4.99 tff(f33343,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & none(num) = X0 & aa(num,num,bit1,X3) = X1) => (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2677(X0,X1)))) & none(num) = X0 & aa(num,num,bit1,sK2677(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33342,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & none(num) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP414(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33341])).
% 26.16/4.99 tff(f33341,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & none(num) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP414(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27990])).
% 26.16/4.99 tff(f27990,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & none(num) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP414(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP414])])).
% 26.16/4.99 tff(f72475,plain,(
% 26.16/4.99 spl4009_1095 | ~spl4009_69 | ~spl4009_773),
% 26.16/4.99 inference(avatar_split_clause,[],[f71148,f70826,f67371,f72472])).
% 26.16/4.99 tff(f72472,plain,(
% 26.16/4.99 spl4009_1095 <=> sP50(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1095])])).
% 26.16/4.99 tff(f70826,plain,(
% 26.16/4.99 spl4009_773 <=> ! [X0 : $tType] : (sP50(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_773])])).
% 26.16/4.99 tff(f71148,plain,(
% 26.16/4.99 sP50(real) | (~spl4009_69 | ~spl4009_773)),
% 26.16/4.99 inference(resolution,[],[f70827,f67373])).
% 26.16/4.99 tff(f70827,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP50(X0)) ) | ~spl4009_773),
% 26.16/4.99 inference(avatar_component_clause,[],[f70826])).
% 26.16/4.99 tff(f72470,plain,(
% 26.16/4.99 spl4009_1094),
% 26.16/4.99 inference(avatar_split_clause,[],[f48105,f72468])).
% 26.16/4.99 tff(f72468,plain,(
% 26.16/4.99 spl4009_1094 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP415(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1094])])).
% 26.16/4.99 tff(f48105,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP415(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33340])).
% 26.16/4.99 tff(f33340,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2676(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,sK2676(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2676(X0,X1,X2)) = X2) | ~sP415(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2676])],[f33338,f33339])).
% 26.16/4.99 tff(f33339,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2676(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,sK2676(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2676(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33338,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP415(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33337])).
% 26.16/4.99 tff(f33337,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP415(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27991])).
% 26.16/4.99 tff(f27991,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP415(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP415])])).
% 26.16/4.99 tff(f72466,plain,(
% 26.16/4.99 spl4009_1093),
% 26.16/4.99 inference(avatar_split_clause,[],[f48093,f72464])).
% 26.16/4.99 tff(f72464,plain,(
% 26.16/4.99 spl4009_1093 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP418(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1093])])).
% 26.16/4.99 tff(f48093,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP418(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33326])).
% 26.16/4.99 tff(f33326,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2671(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,sK2671(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2671(X0,X1,X2)) = X2) | ~sP418(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2671])],[f33324,f33325])).
% 26.16/4.99 tff(f33325,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2671(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,sK2671(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2671(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33324,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP418(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33323])).
% 26.16/4.99 tff(f33323,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP418(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27994])).
% 26.16/4.99 tff(f27994,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_and_not_num_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP418(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP418])])).
% 26.16/4.99 tff(f72462,plain,(
% 26.16/4.99 spl4009_1092),
% 26.16/4.99 inference(avatar_split_clause,[],[f48083,f72460])).
% 26.16/4.99 tff(f72460,plain,(
% 26.16/4.99 spl4009_1092 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP404(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1092])])).
% 26.16/4.99 tff(f48083,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP404(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33313])).
% 26.16/4.99 tff(f33313,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & one2 = X1 & one2 = X2) | ~sP404(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33312])).
% 26.16/4.99 tff(f33312,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP404(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27979])).
% 26.16/4.99 tff(f27979,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP404(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP404])])).
% 26.16/4.99 tff(f72458,plain,(
% 26.16/4.99 spl4009_1091),
% 26.16/4.99 inference(avatar_split_clause,[],[f48082,f72456])).
% 26.16/4.99 tff(f72456,plain,(
% 26.16/4.99 spl4009_1091 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP404(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1091])])).
% 26.16/4.99 tff(f48082,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP404(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33313])).
% 26.16/4.99 tff(f72454,plain,(
% 26.16/4.99 spl4009_1090),
% 26.16/4.99 inference(avatar_split_clause,[],[f48079,f72452])).
% 26.16/4.99 tff(f72452,plain,(
% 26.16/4.99 spl4009_1090 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP405(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1090])])).
% 26.16/4.99 tff(f48079,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP405(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33311])).
% 26.16/4.99 tff(f33311,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & aa(num,num,bit0,sK2666(X1)) = X1 & one2 = X2) | ~sP405(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2666])],[f33309,f33310])).
% 26.16/4.99 tff(f33310,plain,(
% 26.16/4.99 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X1 => aa(num,num,bit0,sK2666(X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33309,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X2) | ~sP405(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33308])).
% 26.16/4.99 tff(f33308,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X0) | ~sP405(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27980])).
% 26.16/4.99 tff(f27980,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & ? [X3 : num] : aa(num,num,bit0,X3) = X1 & one2 = X0) | ~sP405(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP405])])).
% 26.16/4.99 tff(f72450,plain,(
% 26.16/4.99 spl4009_1089),
% 26.16/4.99 inference(avatar_split_clause,[],[f48076,f72448])).
% 26.16/4.99 tff(f72448,plain,(
% 26.16/4.99 spl4009_1089 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP406(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1089])])).
% 26.16/4.99 tff(f48076,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP406(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33307])).
% 26.16/4.99 tff(f33307,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,sK2665(X1)) = X1 & one2 = X2) | ~sP406(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2665])],[f33305,f33306])).
% 26.16/4.99 tff(f33306,plain,(
% 26.16/4.99 ! [X1 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X1 => aa(num,num,bit1,sK2665(X1)) = X1)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33305,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & ? [X3 : num] : aa(num,num,bit1,X3) = X1 & one2 = X2) | ~sP406(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33304])).
% 26.16/4.99 tff(f33304,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & ? [X4 : num] : aa(num,num,bit1,X4) = X1 & one2 = X0) | ~sP406(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27981])).
% 26.16/4.99 tff(f27981,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & ? [X4 : num] : aa(num,num,bit1,X4) = X1 & one2 = X0) | ~sP406(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP406])])).
% 26.16/4.99 tff(f72446,plain,(
% 26.16/4.99 spl4009_1088),
% 26.16/4.99 inference(avatar_split_clause,[],[f48074,f72444])).
% 26.16/4.99 tff(f72444,plain,(
% 26.16/4.99 spl4009_1088 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP407(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1088])])).
% 26.16/4.99 tff(f48074,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP407(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33303])).
% 26.16/4.99 tff(f33303,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & aa(num,num,bit0,sK2664(X2)) = X2) | ~sP407(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2664])],[f33301,f33302])).
% 26.16/4.99 tff(f33302,plain,(
% 26.16/4.99 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X2 => aa(num,num,bit0,sK2664(X2)) = X2)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33301,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & ? [X3 : num] : aa(num,num,bit0,X3) = X2) | ~sP407(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33300])).
% 26.16/4.99 tff(f33300,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP407(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27982])).
% 26.16/4.99 tff(f27982,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP407(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP407])])).
% 26.16/4.99 tff(f72442,plain,(
% 26.16/4.99 spl4009_1087),
% 26.16/4.99 inference(avatar_split_clause,[],[f48065,f72440])).
% 26.16/4.99 tff(f72440,plain,(
% 26.16/4.99 spl4009_1087 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP410(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1087])])).
% 26.16/4.99 tff(f48065,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP410(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33289])).
% 26.16/4.99 tff(f33289,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,sK2659(X2)) = X2) | ~sP410(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2659])],[f33287,f33288])).
% 26.16/4.99 tff(f33288,plain,(
% 26.16/4.99 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X2 => aa(num,num,bit1,sK2659(X2)) = X2)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33287,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),one2) = X0 & one2 = X1 & ? [X3 : num] : aa(num,num,bit1,X3) = X2) | ~sP410(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33286])).
% 26.16/4.99 tff(f33286,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & one2 = X1 & ? [X10 : num] : aa(num,num,bit1,X10) = X0) | ~sP410(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27985])).
% 26.16/4.99 tff(f27985,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((aa(num,option(num),some(num),one2) = X2 & one2 = X1 & ? [X10 : num] : aa(num,num,bit1,X10) = X0) | ~sP410(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP410])])).
% 26.16/4.99 tff(f72438,plain,(
% 26.16/4.99 spl4009_1086),
% 26.16/4.99 inference(avatar_split_clause,[],[f48056,f72436])).
% 26.16/4.99 tff(f72436,plain,(
% 26.16/4.99 spl4009_1086 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP396(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1086])])).
% 26.16/4.99 tff(f48056,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP396(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33276])).
% 26.16/4.99 tff(f33276,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((none(num) = X0 & one2 = X1 & one2 = X2) | ~sP396(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33275])).
% 26.16/4.99 tff(f33275,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP396(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27970])).
% 26.16/4.99 tff(f27970,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((none(num) = X2 & one2 = X1 & one2 = X0) | ~sP396(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP396])])).
% 26.16/4.99 tff(f72434,plain,(
% 26.16/4.99 spl4009_1085),
% 26.16/4.99 inference(avatar_split_clause,[],[f48055,f72432])).
% 26.16/4.99 tff(f72432,plain,(
% 26.16/4.99 spl4009_1085 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP396(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1085])])).
% 26.16/4.99 tff(f48055,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP396(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33276])).
% 26.16/4.99 tff(f72430,plain,(
% 26.16/4.99 spl4009_1084 | ~spl4009_68 | ~spl4009_773),
% 26.16/4.99 inference(avatar_split_clause,[],[f71147,f70826,f67366,f72427])).
% 26.16/4.99 tff(f72427,plain,(
% 26.16/4.99 spl4009_1084 <=> sP50(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1084])])).
% 26.16/4.99 tff(f71147,plain,(
% 26.16/4.99 sP50(rat) | (~spl4009_68 | ~spl4009_773)),
% 26.16/4.99 inference(resolution,[],[f70827,f67368])).
% 26.16/4.99 tff(f72425,plain,(
% 26.16/4.99 spl4009_1083),
% 26.16/4.99 inference(avatar_split_clause,[],[f48052,f72423])).
% 26.16/4.99 tff(f72423,plain,(
% 26.16/4.99 spl4009_1083 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP397(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1083])])).
% 26.16/4.99 tff(f48052,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP397(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33274])).
% 26.16/4.99 tff(f33274,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(num,option(num),some(num),aa(num,num,bit1,sK2654(X0,X1))) = X0 & aa(num,num,bit0,sK2654(X0,X1)) = X1) & one2 = X2) | ~sP397(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2654])],[f33272,f33273])).
% 26.16/4.99 tff(f33273,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & aa(num,num,bit0,X3) = X1) => (aa(num,option(num),some(num),aa(num,num,bit1,sK2654(X0,X1))) = X0 & aa(num,num,bit0,sK2654(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33272,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP397(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33271])).
% 26.16/4.99 tff(f33271,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP397(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27971])).
% 26.16/4.99 tff(f27971,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP397(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP397])])).
% 26.16/4.99 tff(f72421,plain,(
% 26.16/4.99 spl4009_1082),
% 26.16/4.99 inference(avatar_split_clause,[],[f48049,f72419])).
% 26.16/4.99 tff(f72419,plain,(
% 26.16/4.99 spl4009_1082 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP398(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1082])])).
% 26.16/4.99 tff(f48049,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP398(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33270])).
% 26.16/4.99 tff(f33270,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((aa(num,option(num),some(num),aa(num,num,bit0,sK2653(X0,X1))) = X0 & aa(num,num,bit1,sK2653(X0,X1)) = X1) & one2 = X2) | ~sP398(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2653])],[f33268,f33269])).
% 26.16/4.99 tff(f33269,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & aa(num,num,bit1,X3) = X1) => (aa(num,option(num),some(num),aa(num,num,bit0,sK2653(X0,X1))) = X0 & aa(num,num,bit1,sK2653(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33268,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP398(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33267])).
% 26.16/4.99 tff(f33267,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X4)) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP398(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27972])).
% 26.16/4.99 tff(f27972,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X4)) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP398(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP398])])).
% 26.16/4.99 tff(f72417,plain,(
% 26.16/4.99 spl4009_1081),
% 26.16/4.99 inference(avatar_split_clause,[],[f48047,f72415])).
% 26.16/4.99 tff(f72415,plain,(
% 26.16/4.99 spl4009_1081 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP399(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1081])])).
% 26.16/4.99 tff(f48047,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP399(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33266])).
% 26.16/4.99 tff(f33266,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit1,sK2652(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2652(X0,X1,X2)) = X2) | ~sP399(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2652])],[f33264,f33265])).
% 26.16/4.99 tff(f33265,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (aa(num,option(num),some(num),aa(num,num,bit1,sK2652(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2652(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33264,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP399(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33263])).
% 26.16/4.99 tff(f33263,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP399(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27973])).
% 26.16/4.99 tff(f27973,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (aa(num,option(num),some(num),aa(num,num,bit1,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP399(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP399])])).
% 26.16/4.99 tff(f72413,plain,(
% 26.16/4.99 spl4009_1080),
% 26.16/4.99 inference(avatar_split_clause,[],[f48038,f72411])).
% 26.16/4.99 tff(f72411,plain,(
% 26.16/4.99 spl4009_1080 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP402(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1080])])).
% 26.16/4.99 tff(f48038,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP402(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33252])).
% 26.16/4.99 tff(f33252,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((aa(num,option(num),some(num),aa(num,num,bit0,sK2647(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2647(X0,X1,X2)) = X2) | ~sP402(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2647])],[f33250,f33251])).
% 26.16/4.99 tff(f33251,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (aa(num,option(num),some(num),aa(num,num,bit0,sK2647(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2647(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33250,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP402(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33249])).
% 26.16/4.99 tff(f33249,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP402(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27976])).
% 26.16/4.99 tff(f27976,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP402(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP402])])).
% 26.16/4.99 tff(f72409,plain,(
% 26.16/4.99 spl4009_1079),
% 26.16/4.99 inference(avatar_split_clause,[],[f48027,f72407])).
% 26.16/4.99 tff(f72407,plain,(
% 26.16/4.99 spl4009_1079 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP388(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1079])])).
% 26.16/4.99 tff(f48027,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP388(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33239])).
% 26.16/4.99 tff(f33239,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & one2 = X2) | ~sP388(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33238])).
% 26.16/4.99 tff(f33238,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP388(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27961])).
% 26.16/4.99 tff(f27961,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & one2 = X0) | ~sP388(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP388])])).
% 26.16/4.99 tff(f72405,plain,(
% 26.16/4.99 spl4009_1078),
% 26.16/4.99 inference(avatar_split_clause,[],[f48026,f72403])).
% 26.16/4.99 tff(f72403,plain,(
% 26.16/4.99 spl4009_1078 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP388(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1078])])).
% 26.16/4.99 tff(f48026,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP388(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33239])).
% 26.16/4.99 tff(f72401,plain,(
% 26.16/4.99 spl4009_1077),
% 26.16/4.99 inference(avatar_split_clause,[],[f48022,f72399])).
% 26.16/4.99 tff(f72399,plain,(
% 26.16/4.99 spl4009_1077 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP389(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1077])])).
% 26.16/4.99 tff(f48022,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP389(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33237])).
% 26.16/4.99 tff(f33237,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2642(X0,X1)))) & none(num) = X0 & aa(num,num,bit0,sK2642(X0,X1)) = X1) & one2 = X2) | ~sP389(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2642])],[f33235,f33236])).
% 26.16/4.99 tff(f33236,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & none(num) = X0 & aa(num,num,bit0,X3) = X1) => (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2642(X0,X1)))) & none(num) = X0 & aa(num,num,bit0,sK2642(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33235,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & none(num) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP389(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33234])).
% 26.16/4.99 tff(f33234,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & none(num) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP389(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27962])).
% 26.16/4.99 tff(f27962,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & none(num) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP389(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP389])])).
% 26.16/4.99 tff(f72397,plain,(
% 26.16/4.99 spl4009_1076),
% 26.16/4.99 inference(avatar_split_clause,[],[f48018,f72395])).
% 26.16/4.99 tff(f72395,plain,(
% 26.16/4.99 spl4009_1076 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP390(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1076])])).
% 26.16/4.99 tff(f48018,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP390(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33233])).
% 26.16/4.99 tff(f33233,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2641(X0,X1)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,sK2641(X0,X1)) = X1) & one2 = X2) | ~sP390(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2641])],[f33231,f33232])).
% 26.16/4.99 tff(f33232,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,X3) = X1) => (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2641(X0,X1)))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,sK2641(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33231,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & aa(num,option(num),some(num),one2) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP390(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33230])).
% 26.16/4.99 tff(f33230,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP390(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27963])).
% 26.16/4.99 tff(f27963,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & aa(num,option(num),some(num),one2) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP390(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP390])])).
% 26.16/4.99 tff(f72393,plain,(
% 26.16/4.99 spl4009_1075),
% 26.16/4.99 inference(avatar_split_clause,[],[f48015,f72391])).
% 26.16/4.99 tff(f72391,plain,(
% 26.16/4.99 spl4009_1075 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP391(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1075])])).
% 26.16/4.99 tff(f48015,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP391(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33229])).
% 26.16/4.99 tff(f33229,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2640(X0,X1,X2))),one2)) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,sK2640(X0,X1,X2)) = X2) | ~sP391(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2640])],[f33227,f33228])).
% 26.16/4.99 tff(f33228,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2640(X0,X1,X2))),one2)) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,sK2640(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33227,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & none(num) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP391(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33226])).
% 26.16/4.99 tff(f33226,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & none(num) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP391(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27964])).
% 26.16/4.99 tff(f27964,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & none(num) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP391(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP391])])).
% 26.16/4.99 tff(f72389,plain,(
% 26.16/4.99 spl4009_1074),
% 26.16/4.99 inference(avatar_split_clause,[],[f48003,f72387])).
% 26.16/4.99 tff(f72387,plain,(
% 26.16/4.99 spl4009_1074 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP394(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1074])])).
% 26.16/4.99 tff(f48003,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP394(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33215])).
% 26.16/4.99 tff(f33215,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2635(X0,X1,X2))),one2)) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,sK2635(X0,X1,X2)) = X2) | ~sP394(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2635])],[f33213,f33214])).
% 26.16/4.99 tff(f33214,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2635(X0,X1,X2))),one2)) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,sK2635(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33213,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & aa(num,option(num),some(num),one2) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP394(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33212])).
% 26.16/4.99 tff(f33212,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP394(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27967])).
% 26.16/4.99 tff(f27967,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_un4731106466462545111um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & aa(num,option(num),some(num),one2) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP394(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP394])])).
% 26.16/4.99 tff(f72385,plain,(
% 26.16/4.99 spl4009_1073 | ~spl4009_69 | ~spl4009_772),
% 26.16/4.99 inference(avatar_split_clause,[],[f71146,f70822,f67371,f72382])).
% 26.16/4.99 tff(f72382,plain,(
% 26.16/4.99 spl4009_1073 <=> sP47(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1073])])).
% 26.16/4.99 tff(f70822,plain,(
% 26.16/4.99 spl4009_772 <=> ! [X0 : $tType] : (sP47(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_772])])).
% 26.16/4.99 tff(f71146,plain,(
% 26.16/4.99 sP47(real) | (~spl4009_69 | ~spl4009_772)),
% 26.16/4.99 inference(resolution,[],[f70823,f67373])).
% 26.16/4.99 tff(f70823,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP47(X0)) ) | ~spl4009_772),
% 26.16/4.99 inference(avatar_component_clause,[],[f70822])).
% 26.16/4.99 tff(f72380,plain,(
% 26.16/4.99 spl4009_1072),
% 26.16/4.99 inference(avatar_split_clause,[],[f47991,f72378])).
% 26.16/4.99 tff(f72378,plain,(
% 26.16/4.99 spl4009_1072 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP380(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1072])])).
% 26.16/4.99 tff(f47991,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP380(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33202])).
% 26.16/4.99 tff(f33202,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & none(num) = X0 & one2 = X1 & one2 = X2) | ~sP380(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33201])).
% 26.16/4.99 tff(f33201,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP380(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27952])).
% 26.16/4.99 tff(f27952,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & none(num) = X2 & one2 = X1 & one2 = X0) | ~sP380(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP380])])).
% 26.16/4.99 tff(f72376,plain,(
% 26.16/4.99 spl4009_1071),
% 26.16/4.99 inference(avatar_split_clause,[],[f47990,f72374])).
% 26.16/4.99 tff(f72374,plain,(
% 26.16/4.99 spl4009_1071 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP380(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1071])])).
% 26.16/4.99 tff(f47990,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP380(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33202])).
% 26.16/4.99 tff(f72372,plain,(
% 26.16/4.99 spl4009_1070),
% 26.16/4.99 inference(avatar_split_clause,[],[f47986,f72370])).
% 26.16/4.99 tff(f72370,plain,(
% 26.16/4.99 spl4009_1070 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP381(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1070])])).
% 26.16/4.99 tff(f47986,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP381(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33200])).
% 26.16/4.99 tff(f33200,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2630(X0,X1)))) & aa(num,option(num),some(num),aa(num,num,bit1,sK2630(X0,X1))) = X0 & aa(num,num,bit0,sK2630(X0,X1)) = X1) & one2 = X2) | ~sP381(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2630])],[f33198,f33199])).
% 26.16/4.99 tff(f33199,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & aa(num,num,bit0,X3) = X1) => (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2630(X0,X1)))) & aa(num,option(num),some(num),aa(num,num,bit1,sK2630(X0,X1))) = X0 & aa(num,num,bit0,sK2630(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33198,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP381(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33197])).
% 26.16/4.99 tff(f33197,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP381(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27953])).
% 26.16/4.99 tff(f27953,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP381(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP381])])).
% 26.16/4.99 tff(f72368,plain,(
% 26.16/4.99 spl4009_1069),
% 26.16/4.99 inference(avatar_split_clause,[],[f47982,f72366])).
% 26.16/4.99 tff(f72366,plain,(
% 26.16/4.99 spl4009_1069 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP382(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1069])])).
% 26.16/4.99 tff(f47982,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X2 | ~sP382(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33196])).
% 26.16/4.99 tff(f33196,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2629(X0,X1)))) & aa(num,option(num),some(num),aa(num,num,bit0,sK2629(X0,X1))) = X0 & aa(num,num,bit1,sK2629(X0,X1)) = X1) & one2 = X2) | ~sP382(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2629])],[f33194,f33195])).
% 26.16/4.99 tff(f33195,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & aa(num,num,bit1,X3) = X1) => (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2629(X0,X1)))) & aa(num,option(num),some(num),aa(num,num,bit0,sK2629(X0,X1))) = X0 & aa(num,num,bit1,sK2629(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33194,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP382(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33193])).
% 26.16/4.99 tff(f33193,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & aa(num,option(num),some(num),aa(num,num,bit0,X4)) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP382(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27954])).
% 26.16/4.99 tff(f27954,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & aa(num,option(num),some(num),aa(num,num,bit0,X4)) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP382(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP382])])).
% 26.16/4.99 tff(f72364,plain,(
% 26.16/4.99 spl4009_1068),
% 26.16/4.99 inference(avatar_split_clause,[],[f47979,f72362])).
% 26.16/4.99 tff(f72362,plain,(
% 26.16/4.99 spl4009_1068 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP383(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1068])])).
% 26.16/4.99 tff(f47979,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP383(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33192])).
% 26.16/4.99 tff(f33192,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2628(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit1,sK2628(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2628(X0,X1,X2)) = X2) | ~sP383(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2628])],[f33190,f33191])).
% 26.16/4.99 tff(f33191,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2628(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit1,sK2628(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit0,sK2628(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33190,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit1,X3)) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP383(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33189])).
% 26.16/4.99 tff(f33189,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & aa(num,option(num),some(num),aa(num,num,bit1,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP383(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27955])).
% 26.16/4.99 tff(f27955,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & aa(num,option(num),some(num),aa(num,num,bit1,X5)) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP383(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP383])])).
% 26.16/4.99 tff(f72360,plain,(
% 26.16/4.99 spl4009_1067),
% 26.16/4.99 inference(avatar_split_clause,[],[f47967,f72358])).
% 26.16/4.99 tff(f72358,plain,(
% 26.16/4.99 spl4009_1067 <=> ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP386(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1067])])).
% 26.16/4.99 tff(f47967,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : option(num),X1 : num] : (one2 = X1 | ~sP386(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33178])).
% 26.16/4.99 tff(f33178,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2623(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,sK2623(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2623(X0,X1,X2)) = X2) | ~sP386(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2623])],[f33176,f33177])).
% 26.16/4.99 tff(f33177,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2623(X0,X1,X2))),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,sK2623(X0,X1,X2))) = X0 & one2 = X1 & aa(num,num,bit1,sK2623(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33176,plain,(
% 26.16/4.99 ! [X0 : option(num),X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X3)) = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP386(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33175])).
% 26.16/4.99 tff(f33175,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP386(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27958])).
% 26.16/4.99 tff(f27958,plain,(
% 26.16/4.99 ! [X2 : option(num),X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_un2901131394128224187um_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & aa(num,option(num),some(num),aa(num,num,bit0,X10)) = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP386(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP386])])).
% 26.16/4.99 tff(f72356,plain,(
% 26.16/4.99 spl4009_1066),
% 26.16/4.99 inference(avatar_split_clause,[],[f47862,f72354])).
% 26.16/4.99 tff(f72354,plain,(
% 26.16/4.99 spl4009_1066 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP350(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1066])])).
% 26.16/4.99 tff(f47862,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP350(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33063])).
% 26.16/4.99 tff(f33063,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((one2 = X0 & one2 = X1 & one2 = X2) | ~sP350(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33062])).
% 26.16/4.99 tff(f33062,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & one2 = X0) | ~sP350(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27917])).
% 26.16/4.99 tff(f27917,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & one2 = X0) | ~sP350(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP350])])).
% 26.16/4.99 tff(f72352,plain,(
% 26.16/4.99 spl4009_1065),
% 26.16/4.99 inference(avatar_split_clause,[],[f47861,f72350])).
% 26.16/4.99 tff(f72350,plain,(
% 26.16/4.99 spl4009_1065 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP350(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1065])])).
% 26.16/4.99 tff(f47861,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP350(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33063])).
% 26.16/4.99 tff(f72348,plain,(
% 26.16/4.99 spl4009_1064),
% 26.16/4.99 inference(avatar_split_clause,[],[f47860,f72346])).
% 26.16/4.99 tff(f72346,plain,(
% 26.16/4.99 spl4009_1064 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP350(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1064])])).
% 26.16/4.99 tff(f47860,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP350(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33063])).
% 26.16/4.99 tff(f72344,plain,(
% 26.16/4.99 spl4009_1063),
% 26.16/4.99 inference(avatar_split_clause,[],[f47857,f72342])).
% 26.16/4.99 tff(f72342,plain,(
% 26.16/4.99 spl4009_1063 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP351(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1063])])).
% 26.16/4.99 tff(f47857,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP351(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33061])).
% 26.16/4.99 tff(f33061,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (((aa(num,num,bit1,sK2539(X0,X1)) = X0 & aa(num,num,bit0,sK2539(X0,X1)) = X1) & one2 = X2) | ~sP351(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2539])],[f33059,f33060])).
% 26.16/4.99 tff(f33060,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num] : (? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) => (aa(num,num,bit1,sK2539(X0,X1)) = X0 & aa(num,num,bit0,sK2539(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33059,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP351(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33058])).
% 26.16/4.99 tff(f33058,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP351(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27918])).
% 26.16/4.99 tff(f27918,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP351(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP351])])).
% 26.16/4.99 tff(f72340,plain,(
% 26.16/4.99 spl4009_1062 | ~spl4009_68 | ~spl4009_772),
% 26.16/4.99 inference(avatar_split_clause,[],[f71145,f70822,f67366,f72337])).
% 26.16/4.99 tff(f72337,plain,(
% 26.16/4.99 spl4009_1062 <=> sP47(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1062])])).
% 26.16/4.99 tff(f71145,plain,(
% 26.16/4.99 sP47(rat) | (~spl4009_68 | ~spl4009_772)),
% 26.16/4.99 inference(resolution,[],[f70823,f67368])).
% 26.16/4.99 tff(f72335,plain,(
% 26.16/4.99 spl4009_1061),
% 26.16/4.99 inference(avatar_split_clause,[],[f47854,f72333])).
% 26.16/4.99 tff(f72333,plain,(
% 26.16/4.99 spl4009_1061 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP352(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1061])])).
% 26.16/4.99 tff(f47854,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP352(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33057])).
% 26.16/4.99 tff(f33057,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (((aa(num,num,bit1,sK2538(X0,X1)) = X0 & aa(num,num,bit1,sK2538(X0,X1)) = X1) & one2 = X2) | ~sP352(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2538])],[f33055,f33056])).
% 26.16/4.99 tff(f33056,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num] : (? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) => (aa(num,num,bit1,sK2538(X0,X1)) = X0 & aa(num,num,bit1,sK2538(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33055,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP352(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33054])).
% 26.16/4.99 tff(f33054,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (aa(num,num,bit1,X4) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP352(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27919])).
% 26.16/4.99 tff(f27919,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (aa(num,num,bit1,X4) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP352(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP352])])).
% 26.16/4.99 tff(f72331,plain,(
% 26.16/4.99 spl4009_1060),
% 26.16/4.99 inference(avatar_split_clause,[],[f47852,f72329])).
% 26.16/4.99 tff(f72329,plain,(
% 26.16/4.99 spl4009_1060 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP353(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1060])])).
% 26.16/4.99 tff(f47852,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP353(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33053])).
% 26.16/4.99 tff(f33053,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,sK2537(X2)) = X2) | ~sP353(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2537])],[f33051,f33052])).
% 26.16/4.99 tff(f33052,plain,(
% 26.16/4.99 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit0,X3) = X2 => aa(num,num,bit0,sK2537(X2)) = X2)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33051,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((aa(num,num,bit0,one2) = X0 & one2 = X1 & ? [X3 : num] : aa(num,num,bit0,X3) = X2) | ~sP353(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33050])).
% 26.16/4.99 tff(f33050,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((aa(num,num,bit0,one2) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP353(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27920])).
% 26.16/4.99 tff(f27920,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((aa(num,num,bit0,one2) = X2 & one2 = X1 & ? [X5 : num] : aa(num,num,bit0,X5) = X0) | ~sP353(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP353])])).
% 26.16/4.99 tff(f72327,plain,(
% 26.16/4.99 spl4009_1059),
% 26.16/4.99 inference(avatar_split_clause,[],[f47844,f72325])).
% 26.16/4.99 tff(f72325,plain,(
% 26.16/4.99 spl4009_1059 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP356(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1059])])).
% 26.16/4.99 tff(f47844,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP356(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33039])).
% 26.16/4.99 tff(f33039,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((one2 = X0 & one2 = X1 & aa(num,num,bit1,sK2532(X2)) = X2) | ~sP356(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2532])],[f33037,f33038])).
% 26.16/4.99 tff(f33038,plain,(
% 26.16/4.99 ! [X2 : num] : (? [X3 : num] : aa(num,num,bit1,X3) = X2 => aa(num,num,bit1,sK2532(X2)) = X2)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33037,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((one2 = X0 & one2 = X1 & ? [X3 : num] : aa(num,num,bit1,X3) = X2) | ~sP356(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33036])).
% 26.16/4.99 tff(f33036,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & ? [X10 : num] : aa(num,num,bit1,X10) = X0) | ~sP356(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27923])).
% 26.16/4.99 tff(f27923,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((one2 = X2 & one2 = X1 & ? [X10 : num] : aa(num,num,bit1,X10) = X0) | ~sP356(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP356])])).
% 26.16/4.99 tff(f72323,plain,(
% 26.16/4.99 spl4009_1058),
% 26.16/4.99 inference(avatar_split_clause,[],[f47843,f72321])).
% 26.16/4.99 tff(f72321,plain,(
% 26.16/4.99 spl4009_1058 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP356(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1058])])).
% 26.16/4.99 tff(f47843,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP356(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33039])).
% 26.16/4.99 tff(f72319,plain,(
% 26.16/4.99 spl4009_1057),
% 26.16/4.99 inference(avatar_split_clause,[],[f47833,f72317])).
% 26.16/4.99 tff(f72317,plain,(
% 26.16/4.99 spl4009_1057 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP342(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1057])])).
% 26.16/4.99 tff(f47833,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP342(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33026])).
% 26.16/4.99 tff(f33026,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & one2 = X0 & one2 = X1 & one2 = X2) | ~sP342(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33025])).
% 26.16/4.99 tff(f33025,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & one2 = X2 & one2 = X1 & one2 = X0) | ~sP342(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27908])).
% 26.16/4.99 tff(f27908,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),one2)) & one2 = X2 & one2 = X1 & one2 = X0) | ~sP342(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP342])])).
% 26.16/4.99 tff(f72315,plain,(
% 26.16/4.99 spl4009_1056),
% 26.16/4.99 inference(avatar_split_clause,[],[f47832,f72313])).
% 26.16/4.99 tff(f72313,plain,(
% 26.16/4.99 spl4009_1056 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP342(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1056])])).
% 26.16/4.99 tff(f47832,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP342(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33026])).
% 26.16/4.99 tff(f72311,plain,(
% 26.16/4.99 spl4009_1055),
% 26.16/4.99 inference(avatar_split_clause,[],[f47831,f72309])).
% 26.16/4.99 tff(f72309,plain,(
% 26.16/4.99 spl4009_1055 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP342(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1055])])).
% 26.16/4.99 tff(f47831,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP342(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33026])).
% 26.16/4.99 tff(f72307,plain,(
% 26.16/4.99 spl4009_1054),
% 26.16/4.99 inference(avatar_split_clause,[],[f47827,f72305])).
% 26.16/4.99 tff(f72305,plain,(
% 26.16/4.99 spl4009_1054 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP343(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1054])])).
% 26.16/4.99 tff(f47827,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP343(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33024])).
% 26.16/4.99 tff(f33024,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2527(X0,X1)))) & aa(num,num,bit1,sK2527(X0,X1)) = X0 & aa(num,num,bit0,sK2527(X0,X1)) = X1) & one2 = X2) | ~sP343(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2527])],[f33022,f33023])).
% 26.16/4.99 tff(f33023,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) => (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,sK2527(X0,X1)))) & aa(num,num,bit1,sK2527(X0,X1)) = X0 & aa(num,num,bit0,sK2527(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33022,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit0,X3) = X1) & one2 = X2) | ~sP343(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33021])).
% 26.16/4.99 tff(f33021,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP343(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27909])).
% 26.16/4.99 tff(f27909,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit0,X3))) & aa(num,num,bit1,X3) = X2 & aa(num,num,bit0,X3) = X1) & one2 = X0) | ~sP343(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP343])])).
% 26.16/4.99 tff(f72303,plain,(
% 26.16/4.99 spl4009_1053),
% 26.16/4.99 inference(avatar_split_clause,[],[f47823,f72301])).
% 26.16/4.99 tff(f72301,plain,(
% 26.16/4.99 spl4009_1053 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP344(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1053])])).
% 26.16/4.99 tff(f47823,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X2 | ~sP344(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33020])).
% 26.16/4.99 tff(f33020,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (((accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2526(X0,X1)))) & aa(num,num,bit1,sK2526(X0,X1)) = X0 & aa(num,num,bit1,sK2526(X0,X1)) = X1) & one2 = X2) | ~sP344(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2526])],[f33018,f33019])).
% 26.16/4.99 tff(f33019,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) => (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,sK2526(X0,X1)))) & aa(num,num,bit1,sK2526(X0,X1)) = X0 & aa(num,num,bit1,sK2526(X0,X1)) = X1))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33018,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X3))) & aa(num,num,bit1,X3) = X0 & aa(num,num,bit1,X3) = X1) & one2 = X2) | ~sP344(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33017])).
% 26.16/4.99 tff(f33017,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & aa(num,num,bit1,X4) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP344(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27910])).
% 26.16/4.99 tff(f27910,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : ((? [X4 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),one2),aa(num,num,bit1,X4))) & aa(num,num,bit1,X4) = X2 & aa(num,num,bit1,X4) = X1) & one2 = X0) | ~sP344(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP344])])).
% 26.16/4.99 tff(f72299,plain,(
% 26.16/4.99 spl4009_1052),
% 26.16/4.99 inference(avatar_split_clause,[],[f47820,f72297])).
% 26.16/4.99 tff(f72297,plain,(
% 26.16/4.99 spl4009_1052 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP345(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1052])])).
% 26.16/4.99 tff(f47820,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP345(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33016])).
% 26.16/4.99 tff(f33016,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2525(X0,X1,X2))),one2)) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,sK2525(X0,X1,X2)) = X2) | ~sP345(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2525])],[f33014,f33015])).
% 26.16/4.99 tff(f33015,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) => (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,sK2525(X0,X1,X2))),one2)) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,sK2525(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33014,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X3)),one2)) & aa(num,num,bit0,one2) = X0 & one2 = X1 & aa(num,num,bit0,X3) = X2) | ~sP345(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33013])).
% 26.16/4.99 tff(f33013,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & aa(num,num,bit0,one2) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP345(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27911])).
% 26.16/4.99 tff(f27911,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : (? [X5 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit0,X5)),one2)) & aa(num,num,bit0,one2) = X2 & one2 = X1 & aa(num,num,bit0,X5) = X0) | ~sP345(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP345])])).
% 26.16/4.99 tff(f72295,plain,(
% 26.16/4.99 spl4009_1051 | ~spl4009_69 | ~spl4009_771),
% 26.16/4.99 inference(avatar_split_clause,[],[f71144,f70818,f67371,f72292])).
% 26.16/4.99 tff(f72292,plain,(
% 26.16/4.99 spl4009_1051 <=> sP44(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1051])])).
% 26.16/4.99 tff(f70818,plain,(
% 26.16/4.99 spl4009_771 <=> ! [X0 : $tType] : (sP44(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_771])])).
% 26.16/4.99 tff(f71144,plain,(
% 26.16/4.99 sP44(real) | (~spl4009_69 | ~spl4009_771)),
% 26.16/4.99 inference(resolution,[],[f70819,f67373])).
% 26.16/4.99 tff(f70819,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP44(X0)) ) | ~spl4009_771),
% 26.16/4.99 inference(avatar_component_clause,[],[f70818])).
% 26.16/4.99 tff(f72290,plain,(
% 26.16/4.99 spl4009_1050),
% 26.16/4.99 inference(avatar_split_clause,[],[f47809,f72288])).
% 26.16/4.99 tff(f72288,plain,(
% 26.16/4.99 spl4009_1050 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP348(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1050])])).
% 26.16/4.99 tff(f47809,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X0 | ~sP348(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33002])).
% 26.16/4.99 tff(f33002,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : ((accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2520(X0,X1,X2))),one2)) & one2 = X0 & one2 = X1 & aa(num,num,bit1,sK2520(X0,X1,X2)) = X2) | ~sP348(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2520])],[f33000,f33001])).
% 26.16/4.99 tff(f33001,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & one2 = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) => (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,sK2520(X0,X1,X2))),one2)) & one2 = X0 & one2 = X1 & aa(num,num,bit1,sK2520(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33000,plain,(
% 26.16/4.99 ! [X0 : num,X1 : num,X2 : num] : (? [X3 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X3)),one2)) & one2 = X0 & one2 = X1 & aa(num,num,bit1,X3) = X2) | ~sP348(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f32999])).
% 26.16/4.99 tff(f32999,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & one2 = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP348(X2,X1,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27914])).
% 26.16/4.99 tff(f27914,plain,(
% 26.16/4.99 ! [X2 : num,X1 : num,X0 : num] : (? [X10 : num] : (accp(product_prod(num,num),bit_or3848514188828904588eg_rel,aa(num,product_prod(num,num),aa(num,fun(num,product_prod(num,num)),product_Pair(num,num),aa(num,num,bit1,X10)),one2)) & one2 = X2 & one2 = X1 & aa(num,num,bit1,X10) = X0) | ~sP348(X2,X1,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP348])])).
% 26.16/4.99 tff(f72286,plain,(
% 26.16/4.99 spl4009_1049),
% 26.16/4.99 inference(avatar_split_clause,[],[f47808,f72284])).
% 26.16/4.99 tff(f72284,plain,(
% 26.16/4.99 spl4009_1049 <=> ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP348(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1049])])).
% 26.16/4.99 tff(f47808,plain,(
% 26.16/4.99 ( ! [X2 : num,X0 : num,X1 : num] : (one2 = X1 | ~sP348(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33002])).
% 26.16/4.99 tff(f72282,plain,(
% 26.16/4.99 spl4009_1048),
% 26.16/4.99 inference(avatar_split_clause,[],[f47199,f72280])).
% 26.16/4.99 tff(f72280,plain,(
% 26.16/4.99 spl4009_1048 <=> ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0)] : inj_on(X1,X0,X2,bot_bot(set(X1)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1048])])).
% 26.16/4.99 tff(f47199,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0)] : (inj_on(X1,X0,X2,bot_bot(set(X1)))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f15490])).
% 26.16/4.99 tff(f15490,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType,X2 : fun(X1,X0)] : inj_on(X1,X0,X2,bot_bot(set(X1)))),
% 26.16/4.99 inference(rectify,[],[f5697])).
% 26.16/4.99 tff(f5697,axiom,(
% 26.16/4.99 ! [X1 : $tType,X0 : $tType,X56 : fun(X0,X1)] : inj_on(X0,X1,X56,bot_bot(set(X0)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5696_inj__on__empty)).
% 26.16/4.99 tff(f72278,plain,(
% 26.16/4.99 spl4009_1047),
% 26.16/4.99 inference(avatar_split_clause,[],[f47198,f72276])).
% 26.16/4.99 tff(f72276,plain,(
% 26.16/4.99 spl4009_1047 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : if(X0,fTrue,X1,X2) = X1),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1047])])).
% 26.16/4.99 tff(f47198,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (if(X0,fTrue,X1,X2) = X1) )),
% 26.16/4.99 inference(cnf_transformation,[],[f15489])).
% 26.16/4.99 tff(f15489,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : X0,X2 : X0] : if(X0,fTrue,X1,X2) = X1),
% 26.16/4.99 inference(rectify,[],[f9912])).
% 26.16/4.99 tff(f9912,axiom,(
% 26.16/4.99 ! [X0 : $tType,X25 : X0,X28 : X0] : if(X0,fTrue,X25,X28) = X25),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_T)).
% 26.16/4.99 tff(f72274,plain,(
% 26.16/4.99 spl4009_1046),
% 26.16/4.99 inference(avatar_split_clause,[],[f47197,f72272])).
% 26.16/4.99 tff(f72272,plain,(
% 26.16/4.99 spl4009_1046 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : if(X0,fFalse,X1,X2) = X2),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1046])])).
% 26.16/4.99 tff(f47197,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (if(X0,fFalse,X1,X2) = X2) )),
% 26.16/4.99 inference(cnf_transformation,[],[f15488])).
% 26.16/4.99 tff(f15488,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : X0,X2 : X0] : if(X0,fFalse,X1,X2) = X2),
% 26.16/4.99 inference(rectify,[],[f9911])).
% 26.16/4.99 tff(f9911,axiom,(
% 26.16/4.99 ! [X0 : $tType,X25 : X0,X28 : X0] : if(X0,fFalse,X25,X28) = X28),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_T)).
% 26.16/4.99 tff(f72270,plain,(
% 26.16/4.99 spl4009_1045),
% 26.16/4.99 inference(avatar_split_clause,[],[f47194,f72268])).
% 26.16/4.99 tff(f72268,plain,(
% 26.16/4.99 spl4009_1045 <=> ! [X0 : nat,X1 : nat] : pp(dvd_dvd(nat,sK2435(X0,X1),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1045])])).
% 26.16/4.99 tff(f47194,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : nat] : (pp(dvd_dvd(nat,sK2435(X0,X1),X1))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32871])).
% 26.16/4.99 tff(f32871,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2436(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),sK2437(X0,X1))),sK2435(X0,X1)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK2436(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),sK2437(X0,X1))),sK2435(X0,X1))) & pp(dvd_dvd(nat,sK2435(X0,X1),X1)) & pp(dvd_dvd(nat,sK2435(X0,X1),X0)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2435,sK2436,sK2437])],[f15486,f32870])).
% 26.16/4.99 tff(f32870,plain,(
% 26.16/4.99 ! [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(dvd_dvd(nat,X2,X1)) & pp(dvd_dvd(nat,X2,X0))) => ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X1),sK2436(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),sK2437(X0,X1))),sK2435(X0,X1)) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X0),sK2436(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),sK2437(X0,X1))),sK2435(X0,X1))) & pp(dvd_dvd(nat,sK2435(X0,X1),X1)) & pp(dvd_dvd(nat,sK2435(X0,X1),X0))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f15486,plain,(
% 26.16/4.99 ! [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(dvd_dvd(nat,X2,X1)) & pp(dvd_dvd(nat,X2,X0)))),
% 26.16/4.99 inference(rectify,[],[f1884])).
% 26.16/4.99 tff(f1884,axiom,(
% 26.16/4.99 ! [X19 : nat,X20 : nat] : ? [X47 : nat,X52 : nat,X53 : nat] : ((aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X20),X52) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X19),X53)),X47) | aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X19),X52) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),X20),X53)),X47)) & pp(dvd_dvd(nat,X47,X20)) & pp(dvd_dvd(nat,X47,X19)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1883_bezout__add__nat)).
% 26.16/4.99 tff(f72266,plain,(
% 26.16/4.99 spl4009_1044),
% 26.16/4.99 inference(avatar_split_clause,[],[f47193,f72264])).
% 26.16/4.99 tff(f72264,plain,(
% 26.16/4.99 spl4009_1044 <=> ! [X0 : nat,X1 : nat] : pp(dvd_dvd(nat,sK2435(X0,X1),X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1044])])).
% 26.16/4.99 tff(f47193,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : nat] : (pp(dvd_dvd(nat,sK2435(X0,X1),X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32871])).
% 26.16/4.99 tff(f72262,plain,(
% 26.16/4.99 spl4009_1043),
% 26.16/4.99 inference(avatar_split_clause,[],[f46666,f72260])).
% 26.16/4.99 tff(f72260,plain,(
% 26.16/4.99 spl4009_1043 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP312(X0,X1,X2) | X1 = X2)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1043])])).
% 26.16/4.99 tff(f46666,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP312(X0,X1,X2) | X1 = X2) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32467])).
% 26.16/4.99 tff(f32467,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP312(X0,X1,X2) | ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2365(X0)),sK2366(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2365(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 | ~sP312(X0,X1,X2)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2365,sK2366])],[f32464,f32466,f32465])).
% 26.16/4.99 tff(f32465,plain,(
% 26.16/4.99 ! [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,sK2365(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2365(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32466,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2365(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2365(X0)),sK2366(X0))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32464,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP312(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 | ~sP312(X0,X1,X2)))),
% 26.16/4.99 inference(rectify,[],[f32463])).
% 26.16/4.99 tff(f32463,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : ((sP312(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 | ~sP312(X14,X18,X17)))),
% 26.16/4.99 inference(flattening,[],[f32462])).
% 26.16/4.99 tff(f32462,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : ((sP312(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) | ~sP312(X14,X18,X17)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27861])).
% 26.16/4.99 tff(f27861,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X18 : nat,X17 : nat] : (sP312(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))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP312])])).
% 26.16/4.99 tff(f72258,plain,(
% 26.16/4.99 spl4009_1042),
% 26.16/4.99 inference(avatar_split_clause,[],[f46646,f72256])).
% 26.16/4.99 tff(f72256,plain,(
% 26.16/4.99 spl4009_1042 <=> ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP316(X0,X1,X2) | X1 = X2)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1042])])).
% 26.16/4.99 tff(f46646,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP316(X0,X1,X2) | X1 = X2) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32445])).
% 26.16/4.99 tff(f32445,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP316(X0,X1,X2) | ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2358(X0)),sK2359(X0))) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2358(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 | ~sP316(X0,X1,X2)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2358,sK2359])],[f32442,f32444,f32443])).
% 26.16/4.99 tff(f32443,plain,(
% 26.16/4.99 ! [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,sK2358(X0)),X4)) & pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),sK2358(X0)),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X0)))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32444,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT)] : (? [X4 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2358(X0)),X4)) => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,sK2358(X0)),sK2359(X0))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32442,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat] : ((sP316(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 | ~sP316(X0,X1,X2)))),
% 26.16/4.99 inference(rectify,[],[f32441])).
% 26.16/4.99 tff(f32441,plain,(
% 26.16/4.99 ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((sP316(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 | ~sP316(X2,X6,X5)))),
% 26.16/4.99 inference(flattening,[],[f32440])).
% 26.16/4.99 tff(f32440,plain,(
% 26.16/4.99 ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : ((sP316(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) | ~sP316(X2,X6,X5)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27865])).
% 26.16/4.99 tff(f27865,plain,(
% 26.16/4.99 ! [X2 : list(vEBT_VEBT),X6 : nat,X5 : nat] : (sP316(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))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP316])])).
% 26.16/4.99 tff(f72254,plain,(
% 26.16/4.99 spl4009_1041),
% 26.16/4.99 inference(avatar_split_clause,[],[f46273,f72252])).
% 26.16/4.99 tff(f72252,plain,(
% 26.16/4.99 spl4009_1041 <=> ! [X1 : $tType,X0 : $tType] : (sP292(X0,X1) | ~topolo4958980785337419405_space(X0) | ~topolo4958980785337419405_space(X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1041])])).
% 26.16/4.99 tff(f46273,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : $tType] : (sP292(X0,X1) | ~topolo4958980785337419405_space(X0) | ~topolo4958980785337419405_space(X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f27832])).
% 26.16/4.99 tff(f27832,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (sP292(X0,X1) | ~topolo4958980785337419405_space(X0) | ~topolo4958980785337419405_space(X1))),
% 26.16/4.99 inference(definition_folding,[],[f24384,f27831,f27830])).
% 26.16/4.99 tff(f27831,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X0),X3 : set(X1)] : (topolo1966860045006549960nected(product_prod(X0,X1),product_Sigma(X0,X1,X2,aTP_Lamp_agm(set(X1),fun(X0,set(X1)),X3))) <=> sP291(X1,X0,X3,X2)) | ~sP292(X0,X1))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP292])])).
% 26.16/4.99 tff(f24384,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X0),X3 : set(X1)] : (topolo1966860045006549960nected(product_prod(X0,X1),product_Sigma(X0,X1,X2,aTP_Lamp_agm(set(X1),fun(X0,set(X1)),X3))) <=> ((topolo1966860045006549960nected(X1,X3) & topolo1966860045006549960nected(X0,X2)) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2)) | ~topolo4958980785337419405_space(X0) | ~topolo4958980785337419405_space(X1))),
% 26.16/4.99 inference(flattening,[],[f24383])).
% 26.16/4.99 tff(f24383,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : (! [X2 : set(X0),X3 : set(X1)] : (topolo1966860045006549960nected(product_prod(X0,X1),product_Sigma(X0,X1,X2,aTP_Lamp_agm(set(X1),fun(X0,set(X1)),X3))) <=> ((topolo1966860045006549960nected(X1,X3) & topolo1966860045006549960nected(X0,X2)) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2)) | (~topolo4958980785337419405_space(X0) | ~topolo4958980785337419405_space(X1)))),
% 26.16/4.99 inference(ennf_transformation,[],[f15138])).
% 26.16/4.99 tff(f15138,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((topolo4958980785337419405_space(X0) & topolo4958980785337419405_space(X1)) => ! [X2 : set(X0),X3 : set(X1)] : (topolo1966860045006549960nected(product_prod(X0,X1),product_Sigma(X0,X1,X2,aTP_Lamp_agm(set(X1),fun(X0,set(X1)),X3))) <=> ((topolo1966860045006549960nected(X1,X3) & topolo1966860045006549960nected(X0,X2)) | bot_bot(set(X1)) = X3 | bot_bot(set(X0)) = X2)))),
% 26.16/4.99 inference(rectify,[],[f7126])).
% 26.16/4.99 tff(f7126,axiom,(
% 26.16/4.99 ! [X0 : $tType,X1 : $tType] : ((topolo4958980785337419405_space(X0) & topolo4958980785337419405_space(X1)) => ! [X141 : set(X0),X206 : set(X1)] : (topolo1966860045006549960nected(product_prod(X0,X1),product_Sigma(X0,X1,X141,aTP_Lamp_agm(set(X1),fun(X0,set(X1)),X206))) <=> ((topolo1966860045006549960nected(X1,X206) & topolo1966860045006549960nected(X0,X141)) | bot_bot(set(X1)) = X206 | bot_bot(set(X0)) = X141)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7125_connected__Times__eq)).
% 26.16/4.99 tff(f72250,plain,(
% 26.16/4.99 spl4009_1040 | ~spl4009_68 | ~spl4009_771),
% 26.16/4.99 inference(avatar_split_clause,[],[f71143,f70818,f67366,f72247])).
% 26.16/4.99 tff(f72247,plain,(
% 26.16/4.99 spl4009_1040 <=> sP44(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1040])])).
% 26.16/4.99 tff(f71143,plain,(
% 26.16/4.99 sP44(rat) | (~spl4009_68 | ~spl4009_771)),
% 26.16/4.99 inference(resolution,[],[f70819,f67368])).
% 26.16/4.99 tff(f72245,plain,(
% 26.16/4.99 spl4009_1039),
% 26.16/4.99 inference(avatar_split_clause,[],[f45700,f72243])).
% 26.16/4.99 tff(f72243,plain,(
% 26.16/4.99 spl4009_1039 <=> ! [X0 : fun(int,bool)] : (zero_zero(int) != sK2009(X0) | ~sP268(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1039])])).
% 26.16/4.99 tff(f45700,plain,(
% 26.16/4.99 ( ! [X0 : fun(int,bool)] : (zero_zero(int) != sK2009(X0) | ~sP268(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31776])).
% 26.16/4.99 tff(f31776,plain,(
% 26.16/4.99 ! [X0 : fun(int,bool)] : ((~pp(aa(int,bool,X0,aa(int,int,aa(int,fun(int,int),times_times(int),sK2009(X0)),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) & zero_zero(int) != sK2009(X0) & pp(aa(int,bool,X0,sK2009(X0)))) | ~sP268(X0))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2009])],[f31774,f31775])).
% 26.16/4.99 tff(f31775,plain,(
% 26.16/4.99 ! [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),aa(num,num,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),sK2009(X0)),aa(num,int,numeral_numeral(int),aa(num,num,bit0,one2))))) & zero_zero(int) != sK2009(X0) & pp(aa(int,bool,X0,sK2009(X0)))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f31774,plain,(
% 26.16/4.99 ! [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),aa(num,num,bit0,one2))))) & zero_zero(int) != X1 & pp(aa(int,bool,X0,X1))) | ~sP268(X0))),
% 26.16/4.99 inference(rectify,[],[f31773])).
% 26.16/4.99 tff(f31773,plain,(
% 26.16/4.99 ! [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),aa(num,num,bit0,one2))))) & zero_zero(int) != X2 & pp(aa(int,bool,X0,X2))) | ~sP268(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27792])).
% 26.16/4.99 tff(f27792,plain,(
% 26.16/4.99 ! [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),aa(num,num,bit0,one2))))) & zero_zero(int) != X2 & pp(aa(int,bool,X0,X2))) | ~sP268(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP268])])).
% 26.16/4.99 tff(f72241,plain,(
% 26.16/4.99 spl4009_1038),
% 26.16/4.99 inference(avatar_split_clause,[],[f44018,f72239])).
% 26.16/4.99 tff(f72239,plain,(
% 26.16/4.99 spl4009_1038 <=> ! [X0 : $tType,X1 : set(X0)] : inj_on(X0,option(X0),some(X0),X1)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1038])])).
% 26.16/4.99 tff(f44018,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (inj_on(X0,option(X0),some(X0),X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f13729])).
% 26.16/4.99 tff(f13729,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0)] : inj_on(X0,option(X0),some(X0),X1)),
% 26.16/4.99 inference(rectify,[],[f5747])).
% 26.16/4.99 tff(f5747,axiom,(
% 26.16/4.99 ! [X0 : $tType,X54 : set(X0)] : inj_on(X0,option(X0),some(X0),X54)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5746_inj__Some)).
% 26.16/4.99 tff(f72237,plain,(
% 26.16/4.99 spl4009_1037),
% 26.16/4.99 inference(avatar_split_clause,[],[f44017,f72235])).
% 26.16/4.99 tff(f72235,plain,(
% 26.16/4.99 spl4009_1037 <=> ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less_eq(nat),upt(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1037])])).
% 26.16/4.99 tff(f44017,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : nat] : (sorted_wrt(nat,ord_less_eq(nat),upt(X0,X1))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f13728])).
% 26.16/4.99 tff(f13728,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : nat] : sorted_wrt(nat,ord_less_eq(nat),upt(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f6256])).
% 26.16/4.99 tff(f6256,axiom,(
% 26.16/4.99 ! [X82 : nat,X35 : nat] : sorted_wrt(nat,ord_less_eq(nat),upt(X82,X35))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6255_sorted__upt)).
% 26.16/4.99 tff(f72233,plain,(
% 26.16/4.99 spl4009_1036),
% 26.16/4.99 inference(avatar_split_clause,[],[f42978,f72231])).
% 26.16/4.99 tff(f72231,plain,(
% 26.16/4.99 spl4009_1036 <=> ! [X0 : $tType] : (condit1013018076250108175_below(X0,bot_bot(set(X0))) | ~preorder(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1036])])).
% 26.16/4.99 tff(f42978,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (condit1013018076250108175_below(X0,bot_bot(set(X0))) | ~preorder(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f22158])).
% 26.16/4.99 tff(f22158,plain,(
% 26.16/4.99 ! [X0 : $tType] : (condit1013018076250108175_below(X0,bot_bot(set(X0))) | ~preorder(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f6410])).
% 26.16/4.99 tff(f6410,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (preorder(X0) => condit1013018076250108175_below(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6409_bdd__below__empty)).
% 26.16/4.99 tff(f72229,plain,(
% 26.16/4.99 spl4009_1035),
% 26.16/4.99 inference(avatar_split_clause,[],[f42977,f72227])).
% 26.16/4.99 tff(f72227,plain,(
% 26.16/4.99 spl4009_1035 <=> ! [X0 : $tType] : (condit941137186595557371_above(X0,bot_bot(set(X0))) | ~preorder(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1035])])).
% 26.16/4.99 tff(f42977,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (condit941137186595557371_above(X0,bot_bot(set(X0))) | ~preorder(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f22157])).
% 26.16/4.99 tff(f22157,plain,(
% 26.16/4.99 ! [X0 : $tType] : (condit941137186595557371_above(X0,bot_bot(set(X0))) | ~preorder(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f6411])).
% 26.16/4.99 tff(f6411,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (preorder(X0) => condit941137186595557371_above(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6410_bdd__above__empty)).
% 26.16/4.99 tff(f72225,plain,(
% 26.16/4.99 spl4009_1034),
% 26.16/4.99 inference(avatar_split_clause,[],[f41719,f72223])).
% 26.16/4.99 tff(f72223,plain,(
% 26.16/4.99 spl4009_1034 <=> ! [X0 : $tType] : (topolo1002775350975398744n_open(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1034])])).
% 26.16/4.99 tff(f41719,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (topolo1002775350975398744n_open(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f21110])).
% 26.16/4.99 tff(f21110,plain,(
% 26.16/4.99 ! [X0 : $tType] : (topolo1002775350975398744n_open(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f5070])).
% 26.16/4.99 tff(f5070,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => topolo1002775350975398744n_open(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5069_open__empty)).
% 26.16/4.99 tff(f72221,plain,(
% 26.16/4.99 spl4009_1033),
% 26.16/4.99 inference(avatar_split_clause,[],[f41718,f72219])).
% 26.16/4.99 tff(f72219,plain,(
% 26.16/4.99 spl4009_1033 <=> ! [X0 : $tType] : (topolo1966860045006549960nected(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1033])])).
% 26.16/4.99 tff(f41718,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (topolo1966860045006549960nected(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f21109])).
% 26.16/4.99 tff(f21109,plain,(
% 26.16/4.99 ! [X0 : $tType] : (topolo1966860045006549960nected(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f7135])).
% 26.16/4.99 tff(f7135,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => topolo1966860045006549960nected(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7134_connected__empty)).
% 26.16/4.99 tff(f72217,plain,(
% 26.16/4.99 spl4009_1032),
% 26.16/4.99 inference(avatar_split_clause,[],[f41717,f72215])).
% 26.16/4.99 tff(f72215,plain,(
% 26.16/4.99 spl4009_1032 <=> ! [X0 : $tType] : (topolo7761053866217962861closed(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1032])])).
% 26.16/4.99 tff(f41717,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (topolo7761053866217962861closed(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f21108])).
% 26.16/4.99 tff(f21108,plain,(
% 26.16/4.99 ! [X0 : $tType] : (topolo7761053866217962861closed(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f5675])).
% 26.16/4.99 tff(f5675,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => topolo7761053866217962861closed(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5674_closed__empty)).
% 26.16/4.99 tff(f72213,plain,(
% 26.16/4.99 spl4009_1031),
% 26.16/4.99 inference(avatar_split_clause,[],[f41716,f72211])).
% 26.16/4.99 tff(f72211,plain,(
% 26.16/4.99 spl4009_1031 <=> ! [X0 : $tType] : (topolo2193935891317330818ompact(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1031])])).
% 26.16/4.99 tff(f41716,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (topolo2193935891317330818ompact(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f21107])).
% 26.16/4.99 tff(f21107,plain,(
% 26.16/4.99 ! [X0 : $tType] : (topolo2193935891317330818ompact(X0,bot_bot(set(X0))) | ~topolo4958980785337419405_space(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f5505])).
% 26.16/4.99 tff(f5505,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => topolo2193935891317330818ompact(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5504_compact__empty)).
% 26.16/4.99 tff(f72209,plain,(
% 26.16/4.99 spl4009_1030),
% 26.16/4.99 inference(avatar_split_clause,[],[f38868,f72207])).
% 26.16/4.99 tff(f72207,plain,(
% 26.16/4.99 spl4009_1030 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,sK794(X0,X1)) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1030])])).
% 26.16/4.99 tff(f38868,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,sK794(X0,X1)) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28737])).
% 26.16/4.99 tff(f28737,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),sK794(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,sK794(X0,X1)))) & ~real_V358717886546972837endent(X0,sK794(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK794(X0,X1)),X1))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK794])],[f19193,f28736])).
% 26.16/4.99 tff(f28736,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : set(X0)] : (real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) => (real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),sK794(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,sK794(X0,X1)))) & ~real_V358717886546972837endent(X0,sK794(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK794(X0,X1)),X1))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f19193,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ? [X2 : set(X0)] : (real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 inference(flattening,[],[f19192])).
% 26.16/4.99 tff(f19192,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ? [X2 : set(X0)] : (((real_Vector_dim(X0,X1) = aa(set(X0),nat,finite_card(X0),X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2)))) & ~real_V358717886546972837endent(X0,X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f10663])).
% 26.16/4.99 tff(f10663,plain,(
% 26.16/4.99 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : ~! [X2 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) => (~real_V358717886546972837endent(X0,X2) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2))) => real_Vector_dim(X0,X1) != aa(set(X0),nat,finite_card(X0),X2)))))),
% 26.16/4.99 inference(rectify,[],[f7463])).
% 26.16/4.99 tff(f7463,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X120 : set(X0)] : ~! [X65 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X65),X120)) => (~real_V358717886546972837endent(X0,X65) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X120),real_Vector_span(X0,X65))) => aa(set(X0),nat,finite_card(X0),X65) != real_Vector_dim(X0,X120)))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7462_basis__exists)).
% 26.16/4.99 tff(f72205,plain,(
% 26.16/4.99 spl4009_1029 | ~spl4009_69 | ~spl4009_770),
% 26.16/4.99 inference(avatar_split_clause,[],[f71142,f70814,f67371,f72202])).
% 26.16/4.99 tff(f72202,plain,(
% 26.16/4.99 spl4009_1029 <=> sP42(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1029])])).
% 26.16/4.99 tff(f70814,plain,(
% 26.16/4.99 spl4009_770 <=> ! [X0 : $tType] : (sP42(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_770])])).
% 26.16/4.99 tff(f71142,plain,(
% 26.16/4.99 sP42(real) | (~spl4009_69 | ~spl4009_770)),
% 26.16/4.99 inference(resolution,[],[f70815,f67373])).
% 26.16/4.99 tff(f70815,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP42(X0)) ) | ~spl4009_770),
% 26.16/4.99 inference(avatar_component_clause,[],[f70814])).
% 26.16/4.99 tff(f72200,plain,(
% 26.16/4.99 spl4009_1028),
% 26.16/4.99 inference(avatar_split_clause,[],[f38865,f72198])).
% 26.16/4.99 tff(f72198,plain,(
% 26.16/4.99 spl4009_1028 <=> ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,sK793(X0,X1)) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1028])])).
% 26.16/4.99 tff(f38865,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : set(X0)] : (~real_V358717886546972837endent(X0,sK793(X0,X1)) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f28735])).
% 26.16/4.99 tff(f28735,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,sK793(X0,X1)))) & ~real_V358717886546972837endent(X0,sK793(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK793(X0,X1)),X1))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK793])],[f19191,f28734])).
% 26.16/4.99 tff(f28734,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : set(X0)] : (? [X2 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,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,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,sK793(X0,X1)))) & ~real_V358717886546972837endent(X0,sK793(X0,X1)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),sK793(X0,X1)),X1))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f19191,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ? [X2 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,X2) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 inference(flattening,[],[f19190])).
% 26.16/4.99 tff(f19190,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : set(X0)] : ? [X2 : set(X0)] : ((pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,X2)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f10662])).
% 26.16/4.99 tff(f10662,plain,(
% 26.16/4.99 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : ~! [X2 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)) => (~real_V358717886546972837endent(X0,X2) => ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),real_Vector_span(X0,X2))))))),
% 26.16/4.99 inference(rectify,[],[f7441])).
% 26.16/4.99 tff(f7441,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X120 : set(X0)] : ~! [X65 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X65),X120)) => (~real_V358717886546972837endent(X0,X65) => ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X120),real_Vector_span(X0,X65))))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7440_maximal__independent__subset)).
% 26.16/4.99 tff(f72196,plain,(
% 26.16/4.99 spl4009_1027),
% 26.16/4.99 inference(avatar_split_clause,[],[f38799,f72194])).
% 26.16/4.99 tff(f72194,plain,(
% 26.16/4.99 spl4009_1027 <=> ! [X0 : $tType] : (~real_V358717886546972837endent(X0,bot_bot(set(X0))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1027])])).
% 26.16/4.99 tff(f38799,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~real_V358717886546972837endent(X0,bot_bot(set(X0))) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f19167])).
% 26.16/4.99 tff(f19167,plain,(
% 26.16/4.99 ! [X0 : $tType] : (~real_V358717886546972837endent(X0,bot_bot(set(X0))) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f6820])).
% 26.16/4.99 tff(f6820,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ~real_V358717886546972837endent(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6819_independent__empty)).
% 26.16/4.99 tff(f72192,plain,(
% 26.16/4.99 spl4009_1026),
% 26.16/4.99 inference(avatar_split_clause,[],[f38681,f72190])).
% 26.16/4.99 tff(f72190,plain,(
% 26.16/4.99 spl4009_1026 <=> ! [X0 : $tType] : (topolo6688025880775521714ounded(X0,bot_bot(set(X0))) | ~topolo7287701948861334536_space(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1026])])).
% 26.16/4.99 tff(f38681,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (topolo6688025880775521714ounded(X0,bot_bot(set(X0))) | ~topolo7287701948861334536_space(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f19080])).
% 26.16/4.99 tff(f19080,plain,(
% 26.16/4.99 ! [X0 : $tType] : (topolo6688025880775521714ounded(X0,bot_bot(set(X0))) | ~topolo7287701948861334536_space(X0))),
% 26.16/4.99 inference(ennf_transformation,[],[f5572])).
% 26.16/4.99 tff(f5572,axiom,(
% 26.16/4.99 ! [X0 : $tType] : (topolo7287701948861334536_space(X0) => topolo6688025880775521714ounded(X0,bot_bot(set(X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5571_totally__bounded__empty)).
% 26.16/4.99 tff(f72188,plain,(
% 26.16/4.99 spl4009_1025),
% 26.16/4.99 inference(avatar_split_clause,[],[f37862,f72186])).
% 26.16/4.99 tff(f72186,plain,(
% 26.16/4.99 spl4009_1025 <=> ! [X0 : set(product_prod(nat,nat))] : inj_on(product_prod(nat,nat),nat,nat_prod_encode,X0)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1025])])).
% 26.16/4.99 tff(f37862,plain,(
% 26.16/4.99 ( ! [X0 : set(product_prod(nat,nat))] : (inj_on(product_prod(nat,nat),nat,nat_prod_encode,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10002])).
% 26.16/4.99 tff(f10002,plain,(
% 26.16/4.99 ! [X0 : set(product_prod(nat,nat))] : inj_on(product_prod(nat,nat),nat,nat_prod_encode,X0)),
% 26.16/4.99 inference(rectify,[],[f6501])).
% 26.16/4.99 tff(f6501,axiom,(
% 26.16/4.99 ! [X54 : set(product_prod(nat,nat))] : inj_on(product_prod(nat,nat),nat,nat_prod_encode,X54)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6500_inj__prod__encode)).
% 26.16/4.99 tff(f72184,plain,(
% 26.16/4.99 spl4009_1024),
% 26.16/4.99 inference(avatar_split_clause,[],[f37861,f72182])).
% 26.16/4.99 tff(f72182,plain,(
% 26.16/4.99 spl4009_1024 <=> ! [X0 : set(nat)] : inj_on(nat,product_prod(nat,nat),nat_prod_decode,X0)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1024])])).
% 26.16/4.99 tff(f37861,plain,(
% 26.16/4.99 ( ! [X0 : set(nat)] : (inj_on(nat,product_prod(nat,nat),nat_prod_decode,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10001])).
% 26.16/4.99 tff(f10001,plain,(
% 26.16/4.99 ! [X0 : set(nat)] : inj_on(nat,product_prod(nat,nat),nat_prod_decode,X0)),
% 26.16/4.99 inference(rectify,[],[f7587])).
% 26.16/4.99 tff(f7587,axiom,(
% 26.16/4.99 ! [X54 : set(nat)] : inj_on(nat,product_prod(nat,nat),nat_prod_decode,X54)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7586_inj__prod__decode)).
% 26.16/4.99 tff(f72180,plain,(
% 26.16/4.99 spl4009_1023),
% 26.16/4.99 inference(avatar_split_clause,[],[f37859,f72178])).
% 26.16/4.99 tff(f72178,plain,(
% 26.16/4.99 spl4009_1023 <=> ! [X0 : $tType] : transp(X0,aTP_Lamp_ahx(X0,fun(X0,bool)))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1023])])).
% 26.16/4.99 tff(f37859,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (transp(X0,aTP_Lamp_ahx(X0,fun(X0,bool)))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f7497])).
% 26.16/4.99 tff(f7497,axiom,(
% 26.16/4.99 ! [X0 : $tType] : transp(X0,aTP_Lamp_ahx(X0,fun(X0,bool)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7496_transp__empty)).
% 26.16/4.99 tff(f72176,plain,(
% 26.16/4.99 spl4009_1022),
% 26.16/4.99 inference(avatar_split_clause,[],[f37858,f72174])).
% 26.16/4.99 tff(f72174,plain,(
% 26.16/4.99 spl4009_1022 <=> ! [X0 : $tType] : trans(X0,bot_bot(set(product_prod(X0,X0))))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1022])])).
% 26.16/4.99 tff(f37858,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (trans(X0,bot_bot(set(product_prod(X0,X0))))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f7999])).
% 26.16/4.99 tff(f7999,axiom,(
% 26.16/4.99 ! [X0 : $tType] : trans(X0,bot_bot(set(product_prod(X0,X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7998_trans__empty)).
% 26.16/4.99 tff(f72172,plain,(
% 26.16/4.99 spl4009_1021),
% 26.16/4.99 inference(avatar_split_clause,[],[f37857,f72170])).
% 26.16/4.99 tff(f72170,plain,(
% 26.16/4.99 spl4009_1021 <=> ! [X0 : $tType] : antisym(X0,bot_bot(set(product_prod(X0,X0))))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1021])])).
% 26.16/4.99 tff(f37857,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (antisym(X0,bot_bot(set(product_prod(X0,X0))))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f7252])).
% 26.16/4.99 tff(f7252,axiom,(
% 26.16/4.99 ! [X0 : $tType] : antisym(X0,bot_bot(set(product_prod(X0,X0))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7251_antisym__empty)).
% 26.16/4.99 tff(f72168,plain,(
% 26.16/4.99 spl4009_1020),
% 26.16/4.99 inference(avatar_split_clause,[],[f37856,f72166])).
% 26.16/4.99 tff(f72166,plain,(
% 26.16/4.99 spl4009_1020 <=> ! [X0 : nat] : aa(nat,nat,suc,X0) != X0),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1020])])).
% 26.16/4.99 tff(f37856,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (aa(nat,nat,suc,X0) != X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10000])).
% 26.16/4.99 tff(f10000,plain,(
% 26.16/4.99 ! [X0 : nat] : aa(nat,nat,suc,X0) != X0),
% 26.16/4.99 inference(rectify,[],[f191])).
% 26.16/4.99 tff(f191,axiom,(
% 26.16/4.99 ! [X35 : nat] : aa(nat,nat,suc,X35) != X35),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_n__not__Suc__n)).
% 26.16/4.99 tff(f72164,plain,(
% 26.16/4.99 spl4009_1019),
% 26.16/4.99 inference(avatar_split_clause,[],[f37853,f72162])).
% 26.16/4.99 tff(f72162,plain,(
% 26.16/4.99 spl4009_1019 <=> ! [X0 : num] : one2 != aa(num,num,bit0,X0)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1019])])).
% 26.16/4.99 tff(f37853,plain,(
% 26.16/4.99 ( ! [X0 : num] : (one2 != aa(num,num,bit0,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f9997])).
% 26.16/4.99 tff(f9997,plain,(
% 26.16/4.99 ! [X0 : num] : one2 != aa(num,num,bit0,X0)),
% 26.16/4.99 inference(rectify,[],[f526])).
% 26.16/4.99 tff(f526,axiom,(
% 26.16/4.99 ! [X35 : num] : one2 != aa(num,num,bit0,X35)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_525_semiring__norm_I83_J)).
% 26.16/4.99 tff(f72160,plain,(
% 26.16/4.99 spl4009_1018 | ~spl4009_68 | ~spl4009_770),
% 26.16/4.99 inference(avatar_split_clause,[],[f71141,f70814,f67366,f72157])).
% 26.16/4.99 tff(f72157,plain,(
% 26.16/4.99 spl4009_1018 <=> sP42(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1018])])).
% 26.16/4.99 tff(f71141,plain,(
% 26.16/4.99 sP42(rat) | (~spl4009_68 | ~spl4009_770)),
% 26.16/4.99 inference(resolution,[],[f70815,f67368])).
% 26.16/4.99 tff(f72155,plain,(
% 26.16/4.99 spl4009_1017),
% 26.16/4.99 inference(avatar_split_clause,[],[f37850,f72153])).
% 26.16/4.99 tff(f72153,plain,(
% 26.16/4.99 spl4009_1017 <=> ! [X0 : num] : one2 != aa(num,num,bit1,X0)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1017])])).
% 26.16/4.99 tff(f37850,plain,(
% 26.16/4.99 ( ! [X0 : num] : (one2 != aa(num,num,bit1,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f9994])).
% 26.16/4.99 tff(f9994,plain,(
% 26.16/4.99 ! [X0 : num] : one2 != aa(num,num,bit1,X0)),
% 26.16/4.99 inference(rectify,[],[f2045])).
% 26.16/4.99 tff(f2045,axiom,(
% 26.16/4.99 ! [X225 : num] : one2 != aa(num,num,bit1,X225)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2044_verit__eq__simplify_I12_J)).
% 26.16/4.99 tff(f72151,plain,(
% 26.16/4.99 spl4009_1016),
% 26.16/4.99 inference(avatar_split_clause,[],[f37790,f72148])).
% 26.16/4.99 tff(f72148,plain,(
% 26.16/4.99 spl4009_1016 <=> sa = vEBT_Node(sK686,deg,sK684,sK685)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1016])])).
% 26.16/4.99 tff(f37790,plain,(
% 26.16/4.99 sa = vEBT_Node(sK686,deg,sK684,sK685)),
% 26.16/4.99 inference(cnf_transformation,[],[f28427])).
% 26.16/4.99 tff(f28427,plain,(
% 26.16/4.99 ! [X3 : vEBT_VEBT] : (vEBT_invar_vebt(X3,na) | ~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),sK684)))) & vEBT_invar_vebt(sK685,m) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK684) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(sK686,deg,sK684,sK685)),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK684,sK685,sK686])],[f18875,f28426])).
% 26.16/4.99 tff(f28426,plain,(
% 26.16/4.99 ? [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X2 : option(product_prod(nat,nat))] : (! [X3 : vEBT_VEBT] : (vEBT_invar_vebt(X3,na) | ~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)))) & vEBT_invar_vebt(X1,m) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(X2,deg,X0,X1)) => (! [X3 : vEBT_VEBT] : (vEBT_invar_vebt(X3,na) | ~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),sK684)))) & vEBT_invar_vebt(sK685,m) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),sK684) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(sK686,deg,sK684,sK685))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f18875,plain,(
% 26.16/4.99 ? [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X2 : option(product_prod(nat,nat))] : (! [X3 : vEBT_VEBT] : (vEBT_invar_vebt(X3,na) | ~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)))) & vEBT_invar_vebt(X1,m) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(X2,deg,X0,X1))),
% 26.16/4.99 inference(ennf_transformation,[],[f9941])).
% 26.16/4.99 tff(f9941,plain,(
% 26.16/4.99 ~! [X0 : list(vEBT_VEBT),X1 : vEBT_VEBT,X2 : option(product_prod(nat,nat))] : ~(! [X3 : vEBT_VEBT] : (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))) => vEBT_invar_vebt(X3,na)) & vEBT_invar_vebt(X1,m) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(X2,deg,X0,X1))),
% 26.16/4.99 inference(rectify,[],[f254])).
% 26.16/4.99 tff(f254,axiom,(
% 26.16/4.99 ~! [X105 : list(vEBT_VEBT),X106 : vEBT_VEBT,X73 : option(product_prod(nat,nat))] : ~(! [X23 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X23),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X105))) => vEBT_invar_vebt(X23,na)) & vEBT_invar_vebt(X106,m) & aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) = aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X105) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(X73,deg,X105,X106))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062treeList_H_Asummary_H_Ainfo_O_As_A_061_ANode_Ainfo_Adeg_AtreeList_H_Asummary_H_A_092_060and_062_Adeg_A_061_An_A_L_Am_A_092_060and_062_Alength_AtreeList_H_A_061_A2_A_094_Am_A_092_060and_062_Ainvar__vebt_Asummary_H_Am_A_092_060and_062_A_I_092_060forall_062t_092_060in_062set_AtreeList_H_O_Ainvar__vebt_At_An_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062)).
% 26.16/4.99 tff(f72146,plain,(
% 26.16/4.99 spl4009_1015),
% 26.16/4.99 inference(avatar_split_clause,[],[f37775,f72143])).
% 26.16/4.99 tff(f37775,plain,(
% 26.16/4.99 sa = vEBT_Node(info,deg,treeList,summary)),
% 26.16/4.99 inference(cnf_transformation,[],[f18868])).
% 26.16/4.99 tff(f18868,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,na) | ~pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)))) & vEBT_invar_vebt(summary,m) & 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,bit0,one2))),m) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(info,deg,treeList,summary)),
% 26.16/4.99 inference(ennf_transformation,[],[f9937])).
% 26.16/4.99 tff(f9937,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))) => vEBT_invar_vebt(X0,na)) & vEBT_invar_vebt(summary,m) & 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,bit0,one2))),m) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(info,deg,treeList,summary)),
% 26.16/4.99 inference(rectify,[],[f245])).
% 26.16/4.99 tff(f245,axiom,(
% 26.16/4.99 ! [X23 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X23),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))) => vEBT_invar_vebt(X23,na)) & vEBT_invar_vebt(summary,m) & 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,bit0,one2))),m) & deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) & sa = vEBT_Node(info,deg,treeList,summary)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_sprop1)).
% 26.16/4.99 tff(f72141,plain,(
% 26.16/4.99 spl4009_1014),
% 26.16/4.99 inference(avatar_split_clause,[],[f37583,f72138])).
% 26.16/4.99 tff(f72138,plain,(
% 26.16/4.99 spl4009_1014 <=> sums(real,aTP_Lamp_dx(nat,real),one_one(real))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1014])])).
% 26.16/4.99 tff(f37583,plain,(
% 26.16/4.99 sums(real,aTP_Lamp_dx(nat,real),one_one(real))),
% 26.16/4.99 inference(cnf_transformation,[],[f3076])).
% 26.16/4.99 tff(f3076,axiom,(
% 26.16/4.99 sums(real,aTP_Lamp_dx(nat,real),one_one(real))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3075_power__half__series)).
% 26.16/4.99 tff(f72136,plain,(
% 26.16/4.99 spl4009_1013),
% 26.16/4.99 inference(avatar_split_clause,[],[f37580,f72133])).
% 26.16/4.99 tff(f72133,plain,(
% 26.16/4.99 spl4009_1013 <=> none(num) = bit_and_not_num(one2,one2)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1013])])).
% 26.16/4.99 tff(f37580,plain,(
% 26.16/4.99 none(num) = bit_and_not_num(one2,one2)),
% 26.16/4.99 inference(cnf_transformation,[],[f4549])).
% 26.16/4.99 tff(f4549,axiom,(
% 26.16/4.99 none(num) = bit_and_not_num(one2,one2)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4548_and__not__num_Osimps_I1_J)).
% 26.16/4.99 tff(f72131,plain,(
% 26.16/4.99 spl4009_1012),
% 26.16/4.99 inference(avatar_split_clause,[],[f37579,f72128])).
% 26.16/4.99 tff(f72128,plain,(
% 26.16/4.99 spl4009_1012 <=> none(num) = bit_un2480387367778600638or_num(one2,one2)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1012])])).
% 26.16/4.99 tff(f37579,plain,(
% 26.16/4.99 none(num) = bit_un2480387367778600638or_num(one2,one2)),
% 26.16/4.99 inference(cnf_transformation,[],[f4760])).
% 26.16/4.99 tff(f4760,axiom,(
% 26.16/4.99 none(num) = bit_un2480387367778600638or_num(one2,one2)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4759_xor__num_Osimps_I1_J)).
% 26.16/4.99 tff(f72126,plain,(
% 26.16/4.99 spl4009_1011),
% 26.16/4.99 inference(avatar_split_clause,[],[f37578,f72123])).
% 26.16/4.99 tff(f72123,plain,(
% 26.16/4.99 spl4009_1011 <=> m = aa(nat,nat,suc,na)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1011])])).
% 26.16/4.99 tff(f37578,plain,(
% 26.16/4.99 m = aa(nat,nat,suc,na)),
% 26.16/4.99 inference(cnf_transformation,[],[f67])).
% 26.16/4.99 tff(f67,axiom,(
% 26.16/4.99 m = aa(nat,nat,suc,na)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_case4_I5_J)).
% 26.16/4.99 tff(f72121,plain,(
% 26.16/4.99 ~spl4009_1010),
% 26.16/4.99 inference(avatar_split_clause,[],[f37577,f72118])).
% 26.16/4.99 tff(f72118,plain,(
% 26.16/4.99 spl4009_1010 <=> at_top(nat) = bot_bot(filter(nat))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1010])])).
% 26.16/4.99 tff(f37577,plain,(
% 26.16/4.99 at_top(nat) != bot_bot(filter(nat))),
% 26.16/4.99 inference(cnf_transformation,[],[f4998])).
% 26.16/4.99 tff(f4998,axiom,(
% 26.16/4.99 at_top(nat) != bot_bot(filter(nat))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4997_trivial__limit__sequentially)).
% 26.16/4.99 tff(f72114,plain,(
% 26.16/4.99 spl4009_1009 | ~spl4009_69 | ~spl4009_769),
% 26.16/4.99 inference(avatar_split_clause,[],[f71140,f70810,f67371,f72111])).
% 26.16/4.99 tff(f72111,plain,(
% 26.16/4.99 spl4009_1009 <=> sP40(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1009])])).
% 26.16/4.99 tff(f70810,plain,(
% 26.16/4.99 spl4009_769 <=> ! [X0 : $tType] : (sP40(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_769])])).
% 26.16/4.99 tff(f71140,plain,(
% 26.16/4.99 sP40(real) | (~spl4009_69 | ~spl4009_769)),
% 26.16/4.99 inference(resolution,[],[f70811,f67373])).
% 26.16/4.99 tff(f70811,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP40(X0)) ) | ~spl4009_769),
% 26.16/4.99 inference(avatar_component_clause,[],[f70810])).
% 26.16/4.99 tff(f72109,plain,(
% 26.16/4.99 spl4009_1008 | ~spl4009_68 | ~spl4009_769),
% 26.16/4.99 inference(avatar_split_clause,[],[f71139,f70810,f67366,f72106])).
% 26.16/4.99 tff(f72106,plain,(
% 26.16/4.99 spl4009_1008 <=> sP40(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1008])])).
% 26.16/4.99 tff(f71139,plain,(
% 26.16/4.99 sP40(rat) | (~spl4009_68 | ~spl4009_769)),
% 26.16/4.99 inference(resolution,[],[f70811,f67368])).
% 26.16/4.99 tff(f72103,plain,(
% 26.16/4.99 spl4009_1007 | ~spl4009_69 | ~spl4009_768),
% 26.16/4.99 inference(avatar_split_clause,[],[f71138,f70806,f67371,f72100])).
% 26.16/4.99 tff(f72100,plain,(
% 26.16/4.99 spl4009_1007 <=> sP38(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1007])])).
% 26.16/4.99 tff(f70806,plain,(
% 26.16/4.99 spl4009_768 <=> ! [X0 : $tType] : (sP38(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_768])])).
% 26.16/4.99 tff(f71138,plain,(
% 26.16/4.99 sP38(real) | (~spl4009_69 | ~spl4009_768)),
% 26.16/4.99 inference(resolution,[],[f70807,f67373])).
% 26.16/4.99 tff(f70807,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP38(X0)) ) | ~spl4009_768),
% 26.16/4.99 inference(avatar_component_clause,[],[f70806])).
% 26.16/4.99 tff(f72096,plain,(
% 26.16/4.99 spl4009_1006 | ~spl4009_68 | ~spl4009_768),
% 26.16/4.99 inference(avatar_split_clause,[],[f71137,f70806,f67366,f72093])).
% 26.16/4.99 tff(f72093,plain,(
% 26.16/4.99 spl4009_1006 <=> sP38(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1006])])).
% 26.16/4.99 tff(f71137,plain,(
% 26.16/4.99 sP38(rat) | (~spl4009_68 | ~spl4009_768)),
% 26.16/4.99 inference(resolution,[],[f70807,f67368])).
% 26.16/4.99 tff(f72088,plain,(
% 26.16/4.99 spl4009_1005 | ~spl4009_69 | ~spl4009_767),
% 26.16/4.99 inference(avatar_split_clause,[],[f71136,f70802,f67371,f72085])).
% 26.16/4.99 tff(f72085,plain,(
% 26.16/4.99 spl4009_1005 <=> sP36(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1005])])).
% 26.16/4.99 tff(f70802,plain,(
% 26.16/4.99 spl4009_767 <=> ! [X0 : $tType] : (sP36(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_767])])).
% 26.16/4.99 tff(f71136,plain,(
% 26.16/4.99 sP36(real) | (~spl4009_69 | ~spl4009_767)),
% 26.16/4.99 inference(resolution,[],[f70803,f67373])).
% 26.16/4.99 tff(f70803,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP36(X0)) ) | ~spl4009_767),
% 26.16/4.99 inference(avatar_component_clause,[],[f70802])).
% 26.16/4.99 tff(f72080,plain,(
% 26.16/4.99 spl4009_1004 | ~spl4009_68 | ~spl4009_767),
% 26.16/4.99 inference(avatar_split_clause,[],[f71135,f70802,f67366,f72077])).
% 26.16/4.99 tff(f72077,plain,(
% 26.16/4.99 spl4009_1004 <=> sP36(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1004])])).
% 26.16/4.99 tff(f71135,plain,(
% 26.16/4.99 sP36(rat) | (~spl4009_68 | ~spl4009_767)),
% 26.16/4.99 inference(resolution,[],[f70803,f67368])).
% 26.16/4.99 tff(f72072,plain,(
% 26.16/4.99 spl4009_1003 | ~spl4009_69 | ~spl4009_766),
% 26.16/4.99 inference(avatar_split_clause,[],[f71129,f70798,f67371,f72069])).
% 26.16/4.99 tff(f72069,plain,(
% 26.16/4.99 spl4009_1003 <=> sP34(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1003])])).
% 26.16/4.99 tff(f70798,plain,(
% 26.16/4.99 spl4009_766 <=> ! [X0 : $tType] : (sP34(X0) | ~linordered_field(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_766])])).
% 26.16/4.99 tff(f71129,plain,(
% 26.16/4.99 sP34(real) | (~spl4009_69 | ~spl4009_766)),
% 26.16/4.99 inference(resolution,[],[f70799,f67373])).
% 26.16/4.99 tff(f70799,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~linordered_field(X0) | sP34(X0)) ) | ~spl4009_766),
% 26.16/4.99 inference(avatar_component_clause,[],[f70798])).
% 26.16/4.99 tff(f72063,plain,(
% 26.16/4.99 spl4009_1002 | ~spl4009_68 | ~spl4009_766),
% 26.16/4.99 inference(avatar_split_clause,[],[f71128,f70798,f67366,f72060])).
% 26.16/4.99 tff(f72060,plain,(
% 26.16/4.99 spl4009_1002 <=> sP34(rat)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1002])])).
% 26.16/4.99 tff(f71128,plain,(
% 26.16/4.99 sP34(rat) | (~spl4009_68 | ~spl4009_766)),
% 26.16/4.99 inference(resolution,[],[f70799,f67368])).
% 26.16/4.99 tff(f72049,plain,(
% 26.16/4.99 spl4009_1001),
% 26.16/4.99 inference(avatar_split_clause,[],[f61095,f72047])).
% 26.16/4.99 tff(f72047,plain,(
% 26.16/4.99 spl4009_1001 <=> ! [X2 : bool,X3 : bool] : sP321(vEBT_Leaf(X2,X3),one_one(nat))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1001])])).
% 26.16/4.99 tff(f61095,plain,(
% 26.16/4.99 ( ! [X2 : bool,X3 : bool] : (sP321(vEBT_Leaf(X2,X3),one_one(nat))) )),
% 26.16/4.99 inference(forward_demodulation,[],[f61094,f57908])).
% 26.16/4.99 tff(f61094,plain,(
% 26.16/4.99 ( ! [X2 : bool,X3 : bool] : (sP321(vEBT_Leaf(X2,X3),aa(nat,nat,suc,size_num(one2)))) )),
% 26.16/4.99 inference(forward_demodulation,[],[f56901,f37568])).
% 26.16/4.99 tff(f56901,plain,(
% 26.16/4.99 ( ! [X2 : bool,X3 : bool] : (sP321(vEBT_Leaf(X2,X3),aa(nat,nat,suc,zero_zero(nat)))) )),
% 26.16/4.99 inference(equality_resolution,[],[f56900])).
% 26.16/4.99 tff(f56900,plain,(
% 26.16/4.99 ( ! [X2 : bool,X3 : bool,X0 : vEBT_VEBT] : (sP321(X0,aa(nat,nat,suc,zero_zero(nat))) | vEBT_Leaf(X2,X3) != X0) )),
% 26.16/4.99 inference(equality_resolution,[],[f46594])).
% 26.16/4.99 tff(f46594,plain,(
% 26.16/4.99 ( ! [X2 : bool,X3 : bool,X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X1 | vEBT_Leaf(X2,X3) != X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32413])).
% 26.16/4.99 tff(f32413,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP321(X0,X1) | (~sP320(X1,X0) & ~sP319(X1,X0) & ~sP318(X1,X0) & ~sP317(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) != X0))) & (sP320(X1,X0) | sP319(X1,X0) | sP318(X1,X0) | sP317(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & vEBT_Leaf(sK2330(X0),sK2331(X0)) = X0) | ~sP321(X0,X1)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2330,sK2331])],[f32411,f32412])).
% 26.16/4.99 tff(f32412,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : (? [X4 : bool,X5 : bool] : vEBT_Leaf(X4,X5) = X0 => vEBT_Leaf(sK2330(X0),sK2331(X0)) = X0)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f32411,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP321(X0,X1) | (~sP320(X1,X0) & ~sP319(X1,X0) & ~sP318(X1,X0) & ~sP317(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) != X0))) & (sP320(X1,X0) | sP319(X1,X0) | sP318(X1,X0) | sP317(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X4 : bool,X5 : bool] : vEBT_Leaf(X4,X5) = X0) | ~sP321(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f32410])).
% 26.16/4.99 tff(f32410,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP321(X0,X1) | (~sP320(X1,X0) & ~sP319(X1,X0) & ~sP318(X1,X0) & ~sP317(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) != X0))) & (sP320(X1,X0) | sP319(X1,X0) | sP318(X1,X0) | sP317(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0) | ~sP321(X0,X1)))),
% 26.16/4.99 inference(flattening,[],[f32409])).
% 26.16/4.99 tff(f32409,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat] : ((sP321(X0,X1) | (~sP320(X1,X0) & ~sP319(X1,X0) & ~sP318(X1,X0) & ~sP317(X1,X0) & (aa(nat,nat,suc,zero_zero(nat)) != X1 | ! [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) != X0))) & ((sP320(X1,X0) | sP319(X1,X0) | sP318(X1,X0) | sP317(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0)) | ~sP321(X0,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27870])).
% 26.16/4.99 tff(f27870,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) <=> (sP320(X1,X0) | sP319(X1,X0) | sP318(X1,X0) | sP317(X1,X0) | (aa(nat,nat,suc,zero_zero(nat)) = X1 & ? [X40 : bool,X41 : bool] : vEBT_Leaf(X40,X41) = X0)))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP321])])).
% 26.16/4.99 tff(f72045,plain,(
% 26.16/4.99 spl4009_1000),
% 26.16/4.99 inference(avatar_split_clause,[],[f58029,f72043])).
% 26.16/4.99 tff(f72043,plain,(
% 26.16/4.99 spl4009_1000 <=> ! [X0 : nat] : pp(dvd_dvd(nat,one_one(nat),X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_1000])])).
% 26.16/4.99 tff(f58029,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (pp(dvd_dvd(nat,one_one(nat),X0))) )),
% 26.16/4.99 inference(forward_demodulation,[],[f58028,f57908])).
% 26.16/4.99 tff(f58028,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (pp(dvd_dvd(nat,aa(nat,nat,suc,size_num(one2)),X0))) )),
% 26.16/4.99 inference(forward_demodulation,[],[f37890,f37568])).
% 26.16/4.99 tff(f37890,plain,(
% 26.16/4.99 ( ! [X0 : nat] : (pp(dvd_dvd(nat,aa(nat,nat,suc,zero_zero(nat)),X0))) )),
% 26.16/4.99 inference(cnf_transformation,[],[f10026])).
% 26.16/4.99 tff(f10026,plain,(
% 26.16/4.99 ! [X0 : nat] : pp(dvd_dvd(nat,aa(nat,nat,suc,zero_zero(nat)),X0))),
% 26.16/4.99 inference(rectify,[],[f1750])).
% 26.16/4.99 tff(f1750,axiom,(
% 26.16/4.99 ! [X77 : nat] : pp(dvd_dvd(nat,aa(nat,nat,suc,zero_zero(nat)),X77))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1749_dvd__1__left)).
% 26.16/4.99 tff(f72041,plain,(
% 26.16/4.99 spl4009_999 | ~spl4009_65 | ~spl4009_765),
% 26.16/4.99 inference(avatar_split_clause,[],[f71127,f70794,f67351,f72038])).
% 26.16/4.99 tff(f72038,plain,(
% 26.16/4.99 spl4009_999 <=> sP32(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_999])])).
% 26.16/4.99 tff(f67351,plain,(
% 26.16/4.99 spl4009_65 <=> real_V4867850818363320053vector(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_65])])).
% 26.16/4.99 tff(f70794,plain,(
% 26.16/4.99 spl4009_765 <=> ! [X0 : $tType] : (sP32(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_765])])).
% 26.16/4.99 tff(f71127,plain,(
% 26.16/4.99 sP32(real) | (~spl4009_65 | ~spl4009_765)),
% 26.16/4.99 inference(resolution,[],[f70795,f67353])).
% 26.16/4.99 tff(f67353,plain,(
% 26.16/4.99 real_V4867850818363320053vector(real) | ~spl4009_65),
% 26.16/4.99 inference(avatar_component_clause,[],[f67351])).
% 26.16/4.99 tff(f70795,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP32(X0)) ) | ~spl4009_765),
% 26.16/4.99 inference(avatar_component_clause,[],[f70794])).
% 26.16/4.99 tff(f72036,plain,(
% 26.16/4.99 spl4009_998),
% 26.16/4.99 inference(avatar_split_clause,[],[f57912,f72033])).
% 26.16/4.99 tff(f72033,plain,(
% 26.16/4.99 spl4009_998 <=> one_one(nat) = nat2(one_one(int))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_998])])).
% 26.16/4.99 tff(f57912,plain,(
% 26.16/4.99 one_one(nat) = nat2(one_one(int))),
% 26.16/4.99 inference(forward_demodulation,[],[f57911,f57908])).
% 26.16/4.99 tff(f57911,plain,(
% 26.16/4.99 nat2(one_one(int)) = aa(nat,nat,suc,size_num(one2))),
% 26.16/4.99 inference(forward_demodulation,[],[f37595,f37568])).
% 26.16/4.99 tff(f37595,plain,(
% 26.16/4.99 aa(nat,nat,suc,zero_zero(nat)) = nat2(one_one(int))),
% 26.16/4.99 inference(cnf_transformation,[],[f3537])).
% 26.16/4.99 tff(f3537,axiom,(
% 26.16/4.99 aa(nat,nat,suc,zero_zero(nat)) = nat2(one_one(int))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3536_nat__1)).
% 26.16/4.99 tff(f72031,plain,(
% 26.16/4.99 spl4009_997),
% 26.16/4.99 inference(avatar_split_clause,[],[f57764,f72029])).
% 26.16/4.99 tff(f72029,plain,(
% 26.16/4.99 spl4009_997 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP672(X0,X1,X3,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_997])])).
% 26.16/4.99 tff(f57764,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP672(X0,X1,X3,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f53640])).
% 26.16/4.99 tff(f53640,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP672(X0,X1,X2,X3,X4)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36715])).
% 26.16/4.99 tff(f36715,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((((sP671(X3,X2,X1,sK3910(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),sK3910(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK3910(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3910(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & X2 != X3) | ~sP672(X0,X1,X2,X3,X4))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3910])],[f36713,f36714])).
% 26.16/4.99 tff(f36714,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : (? [X5 : nat] : ((sP671(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),aa(num,num,bit0,one2))),X4)))) => ((sP671(X3,X2,X1,sK3910(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),sK3910(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK3910(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3910(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f36713,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((? [X5 : nat] : ((sP671(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),aa(num,num,bit0,one2))),X4)))) & X2 != X3) | ~sP672(X0,X1,X2,X3,X4))),
% 26.16/4.99 inference(rectify,[],[f36712])).
% 26.16/4.99 tff(f36712,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP671(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),aa(num,num,bit0,one2))),X3)))) & X5 != X6) | ~sP672(X0,X1,X5,X6,X3))),
% 26.16/4.99 inference(nnf_transformation,[],[f28405])).
% 26.16/4.99 tff(f28405,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP671(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),aa(num,num,bit0,one2))),X3)))) & X5 != X6) | ~sP672(X0,X1,X5,X6,X3))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP672])])).
% 26.16/4.99 tff(f72027,plain,(
% 26.16/4.99 spl4009_996),
% 26.16/4.99 inference(avatar_split_clause,[],[f57759,f72025])).
% 26.16/4.99 tff(f72025,plain,(
% 26.16/4.99 spl4009_996 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP668(X0,X1,X3,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_996])])).
% 26.16/4.99 tff(f57759,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP668(X0,X1,X3,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f53625])).
% 26.16/4.99 tff(f53625,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP668(X0,X1,X2,X3,X4)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36694])).
% 26.16/4.99 tff(f36694,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((((sP667(X3,X2,X1,sK3903(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),sK3903(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK3903(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3903(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))) & X2 != X3) | ~sP668(X0,X1,X2,X3,X4))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3903])],[f36692,f36693])).
% 26.16/4.99 tff(f36693,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : (? [X5 : nat] : ((sP667(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),aa(num,num,bit0,one2))),X4)))) => ((sP667(X3,X2,X1,sK3903(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),sK3903(X0,X1,X2,X3,X4))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK3903(X0,X1,X2,X3,X4))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3903(X0,X1,X2,X3,X4)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X4)))))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f36692,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((? [X5 : nat] : ((sP667(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),aa(num,num,bit0,one2))),X4)))) & X2 != X3) | ~sP668(X0,X1,X2,X3,X4))),
% 26.16/4.99 inference(rectify,[],[f36691])).
% 26.16/4.99 tff(f36691,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP667(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),aa(num,num,bit0,one2))),X3)))) & X5 != X6) | ~sP668(X0,X1,X5,X6,X3))),
% 26.16/4.99 inference(nnf_transformation,[],[f28400])).
% 26.16/4.99 tff(f28400,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X5 : nat,X6 : nat,X3 : nat] : ((? [X12 : nat] : ((sP667(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),aa(num,num,bit0,one2))),X3)))) & X5 != X6) | ~sP668(X0,X1,X5,X6,X3))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP668])])).
% 26.16/4.99 tff(f72023,plain,(
% 26.16/4.99 spl4009_995),
% 26.16/4.99 inference(avatar_split_clause,[],[f57721,f72021])).
% 26.16/4.99 tff(f72021,plain,(
% 26.16/4.99 spl4009_995 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP654(X0,X1,X4,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_995])])).
% 26.16/4.99 tff(f57721,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP654(X0,X1,X4,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f53388])).
% 26.16/4.99 tff(f53388,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP654(X0,X1,X2,X3,X4) | X2 != X4) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36585])).
% 26.16/4.99 tff(f36585,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((sP654(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) | X2 = X3 | X2 = X4 | ~sP654(X0,X1,X2,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f36584])).
% 26.16/4.99 tff(f36584,plain,(
% 26.16/4.99 ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : ((sP654(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | X1 = X5 | X0 = X5 | ~sP654(X3,X2,X5,X1,X0)))),
% 26.16/4.99 inference(flattening,[],[f36583])).
% 26.16/4.99 tff(f36583,plain,(
% 26.16/4.99 ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : ((sP654(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | X1 = X5 | X0 = X5) | ~sP654(X3,X2,X5,X1,X0)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28375])).
% 26.16/4.99 tff(f28375,plain,(
% 26.16/4.99 ! [X3 : list(vEBT_VEBT),X2 : nat,X5 : nat,X1 : nat,X0 : nat] : (sP654(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X5,divide_divide(nat,aa(nat,nat,suc,X2),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))))) | X1 = X5 | X0 = X5))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP654])])).
% 26.16/4.99 tff(f72019,plain,(
% 26.16/4.99 spl4009_994),
% 26.16/4.99 inference(avatar_split_clause,[],[f57720,f72017])).
% 26.16/4.99 tff(f72017,plain,(
% 26.16/4.99 spl4009_994 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP654(X0,X1,X3,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_994])])).
% 26.16/4.99 tff(f57720,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP654(X0,X1,X3,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f53389])).
% 26.16/4.99 tff(f53389,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP654(X0,X1,X2,X3,X4) | X2 != X3) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36585])).
% 26.16/4.99 tff(f72015,plain,(
% 26.16/4.99 spl4009_993),
% 26.16/4.99 inference(avatar_split_clause,[],[f57643,f72013])).
% 26.16/4.99 tff(f72013,plain,(
% 26.16/4.99 spl4009_993 <=> ! [X2 : $tType,X4 : X2,X3 : X2] : sP644(X2,X4,X3,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_993])])).
% 26.16/4.99 tff(f57643,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X4 : X2] : (sP644(X2,X4,X3,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f57642])).
% 26.16/4.99 tff(f57642,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X0 : X2,X4 : X2] : (sP644(X2,X0,X3,X3,X4) | X0 != X4) )),
% 26.16/4.99 inference(equality_resolution,[],[f52768])).
% 26.16/4.99 tff(f52768,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (sP644(X2,X0,X1,X3,X4) | X1 != X3 | X0 != X4) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36322])).
% 26.16/4.99 tff(f36322,plain,(
% 26.16/4.99 ! [X0 : X2,X1 : X2,X2 : $tType,X3 : X2,X4 : X2] : ((sP644(X2,X0,X1,X3,X4) | ((X0 != X1 | X3 != X4) & (X1 != X3 | X0 != X4))) & ((X0 = X1 & X3 = X4) | (X1 = X3 & X0 = X4) | ~sP644(X2,X0,X1,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f36321])).
% 26.16/4.99 tff(f36321,plain,(
% 26.16/4.99 ! [X3 : X0,X2 : X0,X0 : $tType,X4 : X0,X1 : X0] : ((sP644(X0,X3,X2,X4,X1) | ((X2 != X3 | X1 != X4) & (X2 != X4 | X1 != X3))) & ((X2 = X3 & X1 = X4) | (X2 = X4 & X1 = X3) | ~sP644(X0,X3,X2,X4,X1)))),
% 26.16/4.99 inference(flattening,[],[f36320])).
% 26.16/4.99 tff(f36320,plain,(
% 26.16/4.99 ! [X3 : X0,X2 : X0,X0 : $tType,X4 : X0,X1 : X0] : ((sP644(X0,X3,X2,X4,X1) | ((X2 != X3 | X1 != X4) & (X2 != X4 | X1 != X3))) & (((X2 = X3 & X1 = X4) | (X2 = X4 & X1 = X3)) | ~sP644(X0,X3,X2,X4,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28355])).
% 26.16/4.99 tff(f28355,plain,(
% 26.16/4.99 ! [X3 : X0,X2 : X0,X0 : $tType,X4 : X0,X1 : X0] : (sP644(X0,X3,X2,X4,X1) <=> ((X2 = X3 & X1 = X4) | (X2 = X4 & X1 = X3)))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP644])])).
% 26.16/4.99 tff(f72011,plain,(
% 26.16/4.99 spl4009_992),
% 26.16/4.99 inference(avatar_split_clause,[],[f57641,f72009])).
% 26.16/4.99 tff(f72009,plain,(
% 26.16/4.99 spl4009_992 <=> ! [X2 : $tType,X4 : X2,X1 : X2] : sP644(X2,X1,X1,X4,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_992])])).
% 26.16/4.99 tff(f57641,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X1 : X2,X4 : X2] : (sP644(X2,X1,X1,X4,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f57640])).
% 26.16/4.99 tff(f57640,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X1 : X2,X4 : X2] : (sP644(X2,X1,X1,X3,X4) | X3 != X4) )),
% 26.16/4.99 inference(equality_resolution,[],[f52769])).
% 26.16/4.99 tff(f52769,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (sP644(X2,X0,X1,X3,X4) | X0 != X1 | X3 != X4) )),
% 26.16/4.99 inference(cnf_transformation,[],[f36322])).
% 26.16/4.99 tff(f72007,plain,(
% 26.16/4.99 spl4009_991),
% 26.16/4.99 inference(avatar_split_clause,[],[f57540,f72005])).
% 26.16/4.99 tff(f72005,plain,(
% 26.16/4.99 spl4009_991 <=> ! [X1 : $tType,X4 : set(X1),X2 : set(X1),X3 : X1] : sP616(X1,X3,X2,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_991])])).
% 26.16/4.99 tff(f57540,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X2 : set(X1),X3 : X1,X4 : set(X1)] : (sP616(X1,X3,X2,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f52040])).
% 26.16/4.99 tff(f52040,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X2 : set(X1),X3 : X1,X0 : X1,X4 : set(X1)] : (sP616(X1,X0,X2,X3,X4) | X0 != X3) )),
% 26.16/4.99 inference(cnf_transformation,[],[f35796])).
% 26.16/4.99 tff(f35796,plain,(
% 26.16/4.99 ! [X0 : X1,X1 : $tType,X2 : set(X1),X3 : X1,X4 : set(X1)] : ((sP616(X1,X0,X2,X3,X4) | (! [X5 : set(X1)] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X0),X5)) | aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X0),X5) != X2 | pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X5)) | aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X3),X5) != X4) & X0 != X3)) & ((~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X0),sK3567(X1,X0,X2,X3,X4))) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X0),sK3567(X1,X0,X2,X3,X4)) = X2 & ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),sK3567(X1,X0,X2,X3,X4))) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X3),sK3567(X1,X0,X2,X3,X4)) = X4) | X0 = X3 | ~sP616(X1,X0,X2,X3,X4)))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3567])],[f35794,f35795])).
% 26.16/4.99 tff(f35795,plain,(
% 26.16/4.99 ! [X1 : $tType,X0 : X1,X2 : set(X1),X3 : X1,X4 : set(X1)] : (? [X6 : set(X1)] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X0),X6)) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X0),X6) = X2 & ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X6)) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X3),X6) = X4) => (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X0),sK3567(X1,X0,X2,X3,X4))) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X0),sK3567(X1,X0,X2,X3,X4)) = X2 & ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),sK3567(X1,X0,X2,X3,X4))) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X3),sK3567(X1,X0,X2,X3,X4)) = X4))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f35794,plain,(
% 26.16/4.99 ! [X0 : X1,X1 : $tType,X2 : set(X1),X3 : X1,X4 : set(X1)] : ((sP616(X1,X0,X2,X3,X4) | (! [X5 : set(X1)] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X0),X5)) | aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X0),X5) != X2 | pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X5)) | aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X3),X5) != X4) & X0 != X3)) & (? [X6 : set(X1)] : (~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X0),X6)) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X0),X6) = X2 & ~pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X3),X6)) & aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X3),X6) = X4) | X0 = X3 | ~sP616(X1,X0,X2,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f35793])).
% 26.16/4.99 tff(f35793,plain,(
% 26.16/4.99 ! [X1 : X0,X0 : $tType,X4 : set(X0),X3 : X0,X2 : set(X0)] : ((sP616(X0,X1,X4,X3,X2) | (! [X5 : set(X0)] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X5)) | aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X5) != X4 | pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X5)) | aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X5) != X2) & X1 != X3)) & (? [X5 : set(X0)] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X5)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X5) = X4 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X5)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X5) = X2) | X1 = X3 | ~sP616(X0,X1,X4,X3,X2)))),
% 26.16/4.99 inference(flattening,[],[f35792])).
% 26.16/4.99 tff(f35792,plain,(
% 26.16/4.99 ! [X1 : X0,X0 : $tType,X4 : set(X0),X3 : X0,X2 : set(X0)] : ((sP616(X0,X1,X4,X3,X2) | (! [X5 : set(X0)] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X5)) | aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X5) != X4 | pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X5)) | aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X5) != X2) & X1 != X3)) & ((? [X5 : set(X0)] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X5)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X5) = X4 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X5)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X5) = X2) | X1 = X3) | ~sP616(X0,X1,X4,X3,X2)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28302])).
% 26.16/4.99 tff(f28302,plain,(
% 26.16/4.99 ! [X1 : X0,X0 : $tType,X4 : set(X0),X3 : X0,X2 : set(X0)] : (sP616(X0,X1,X4,X3,X2) <=> (? [X5 : set(X0)] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X5)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X5) = X4 & ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X5)) & aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X3),X5) = X2) | X1 = X3))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP616])])).
% 26.16/4.99 tff(f72003,plain,(
% 26.16/4.99 spl4009_990),
% 26.16/4.99 inference(avatar_split_clause,[],[f57231,f72001])).
% 26.16/4.99 tff(f72001,plain,(
% 26.16/4.99 spl4009_990 <=> ! [X1 : bool] : (sP538(one_one(nat),X1) | ~pp(X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_990])])).
% 26.16/4.99 tff(f57231,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (sP538(one_one(nat),X1) | ~pp(X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f49317])).
% 26.16/4.99 tff(f49317,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (sP538(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34265])).
% 26.16/4.99 tff(f34265,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : ((sP538(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 | ~sP538(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f34264])).
% 26.16/4.99 tff(f34264,plain,(
% 26.16/4.99 ! [X2 : nat,X1 : bool] : ((sP538(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 | ~sP538(X2,X1)))),
% 26.16/4.99 inference(flattening,[],[f34263])).
% 26.16/4.99 tff(f34263,plain,(
% 26.16/4.99 ! [X2 : nat,X1 : bool] : ((sP538(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) | ~sP538(X2,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28158])).
% 26.16/4.99 tff(f28158,plain,(
% 26.16/4.99 ! [X2 : nat,X1 : bool] : (sP538(X2,X1) <=> ((one_one(nat) = X2 & (pp(X1) | one_one(nat) != X2)) | zero_zero(nat) = X2))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP538])])).
% 26.16/4.99 tff(f71999,plain,(
% 26.16/4.99 spl4009_989),
% 26.16/4.99 inference(avatar_split_clause,[],[f57222,f71997])).
% 26.16/4.99 tff(f71997,plain,(
% 26.16/4.99 spl4009_989 <=> ! [X0 : $tType,X1 : list(X0)] : sP534(X0,X1,remdups_adj(X0,X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_989])])).
% 26.16/4.99 tff(f57222,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X1 : list(X0)] : (sP534(X0,X1,remdups_adj(X0,X1))) )),
% 26.16/4.99 inference(equality_resolution,[],[f49244])).
% 26.16/4.99 tff(f49244,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP534(X0,X1,X2) | remdups_adj(X0,X1) != X2) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34198])).
% 26.16/4.99 tff(f34198,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((remdups_adj(X0,X1) = X2 | ~sP534(X0,X1,X2)) & (sP534(X0,X1,X2) | remdups_adj(X0,X1) != X2))),
% 26.16/4.99 inference(nnf_transformation,[],[f28151])).
% 26.16/4.99 tff(f28151,plain,(
% 26.16/4.99 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (remdups_adj(X0,X1) = X2 <=> sP534(X0,X1,X2))),
% 26.16/4.99 inference(definition_folding,[],[f25466,f28150,f28149])).
% 26.16/4.99 tff(f28149,plain,(
% 26.16/4.99 ! [X3 : fun(nat,nat),X1 : list(X0),X0 : $tType] : (sP533(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)))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP533])])).
% 26.16/4.99 tff(f28150,plain,(
% 26.16/4.99 ! [X1 : list(X0),X0 : $tType,X2 : list(X0)] : (sP534(X0,X1,X2) <=> ? [X3 : fun(nat,nat)] : (sP533(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)))) & aa(set(nat),set(nat),image2(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)) & pp(aa(fun(nat,nat),bool,order_mono(nat,nat),X3))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP534])])).
% 26.16/4.99 tff(f25466,plain,(
% 26.16/4.99 ! [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)))) & aa(set(nat),set(nat),image2(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)) & pp(aa(fun(nat,nat),bool,order_mono(nat,nat),X3))))),
% 26.16/4.99 inference(ennf_transformation,[],[f16446])).
% 26.16/4.99 tff(f16446,plain,(
% 26.16/4.99 ! [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))) & aa(set(nat),set(nat),image2(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)) & pp(aa(fun(nat,nat),bool,order_mono(nat,nat),X3))))),
% 26.16/4.99 inference(rectify,[],[f6369])).
% 26.16/4.99 tff(f6369,axiom,(
% 26.16/4.99 ! [X0 : $tType,X37 : list(X0),X158 : list(X0)] : (remdups_adj(X0,X37) = X158 <=> ? [X286 : fun(nat,nat)] : (! [X125 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X125),one_one(nat))),aa(list(X0),nat,size_size(list(X0)),X37))) => (aa(nat,X0,nth(X0,X37),X125) = aa(nat,X0,nth(X0,X37),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X125),one_one(nat))) <=> aa(nat,nat,X286,X125) = aa(nat,nat,X286,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X125),one_one(nat))))) & ! [X125 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X125),aa(list(X0),nat,size_size(list(X0)),X37))) => aa(nat,X0,nth(X0,X37),X125) = aa(nat,X0,nth(X0,X158),aa(nat,nat,X286,X125))) & aa(set(nat),set(nat),image2(nat,nat,X286),set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X37))) = set_or7035219750837199246ssThan(nat,zero_zero(nat),aa(list(X0),nat,size_size(list(X0)),X158)) & pp(aa(fun(nat,nat),bool,order_mono(nat,nat),X286))))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6368_remdups__adj__altdef)).
% 26.16/4.99 tff(f71995,plain,(
% 26.16/4.99 spl4009_988 | ~spl4009_64 | ~spl4009_765),
% 26.16/4.99 inference(avatar_split_clause,[],[f71126,f70794,f67346,f71992])).
% 26.16/4.99 tff(f71992,plain,(
% 26.16/4.99 spl4009_988 <=> sP32(complex)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_988])])).
% 26.16/4.99 tff(f67346,plain,(
% 26.16/4.99 spl4009_64 <=> real_V4867850818363320053vector(complex)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_64])])).
% 26.16/4.99 tff(f71126,plain,(
% 26.16/4.99 sP32(complex) | (~spl4009_64 | ~spl4009_765)),
% 26.16/4.99 inference(resolution,[],[f70795,f67348])).
% 26.16/4.99 tff(f67348,plain,(
% 26.16/4.99 real_V4867850818363320053vector(complex) | ~spl4009_64),
% 26.16/4.99 inference(avatar_component_clause,[],[f67346])).
% 26.16/4.99 tff(f71990,plain,(
% 26.16/4.99 spl4009_987),
% 26.16/4.99 inference(avatar_split_clause,[],[f57221,f71988])).
% 26.16/4.99 tff(f71988,plain,(
% 26.16/4.99 spl4009_987 <=> ! [X0 : bool,X1 : bool] : vEBT_VEBT_valid(vEBT_Leaf(X0,X1),one_one(nat))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_987])])).
% 26.16/4.99 tff(f57221,plain,(
% 26.16/4.99 ( ! [X0 : bool,X1 : bool] : (vEBT_VEBT_valid(vEBT_Leaf(X0,X1),one_one(nat))) )),
% 26.16/4.99 inference(equality_resolution,[],[f49216])).
% 26.16/4.99 tff(f49216,plain,(
% 26.16/4.99 ( ! [X2 : nat,X0 : bool,X1 : bool] : (vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2) | one_one(nat) != X2) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34175])).
% 26.16/4.99 tff(f34175,plain,(
% 26.16/4.99 ! [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)))),
% 26.16/4.99 inference(nnf_transformation,[],[f16443])).
% 26.16/4.99 tff(f16443,plain,(
% 26.16/4.99 ! [X0 : bool,X1 : bool,X2 : nat] : (vEBT_VEBT_valid(vEBT_Leaf(X0,X1),X2) <=> one_one(nat) = X2)),
% 26.16/4.99 inference(rectify,[],[f1350])).
% 26.16/4.99 tff(f1350,axiom,(
% 26.16/4.99 ! [X108 : bool,X109 : bool,X67 : nat] : (vEBT_VEBT_valid(vEBT_Leaf(X108,X109),X67) <=> one_one(nat) = X67)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1349_VEBT__internal_Ovalid_H_Osimps_I1_J)).
% 26.16/4.99 tff(f71986,plain,(
% 26.16/4.99 spl4009_986),
% 26.16/4.99 inference(avatar_split_clause,[],[f57216,f71984])).
% 26.16/4.99 tff(f71984,plain,(
% 26.16/4.99 spl4009_986 <=> ! [X1 : bool] : (sP530(one_one(nat),X1) | ~pp(X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_986])])).
% 26.16/4.99 tff(f57216,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (sP530(one_one(nat),X1) | ~pp(X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f49210])).
% 26.16/4.99 tff(f49210,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (sP530(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f34172])).
% 26.16/4.99 tff(f34172,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : ((sP530(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 | ~sP530(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f34171])).
% 26.16/4.99 tff(f34171,plain,(
% 26.16/4.99 ! [X2 : nat,X1 : bool] : ((sP530(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 | ~sP530(X2,X1)))),
% 26.16/4.99 inference(flattening,[],[f34170])).
% 26.16/4.99 tff(f34170,plain,(
% 26.16/4.99 ! [X2 : nat,X1 : bool] : ((sP530(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) | ~sP530(X2,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28143])).
% 26.16/4.99 tff(f71982,plain,(
% 26.16/4.99 spl4009_985),
% 26.16/4.99 inference(avatar_split_clause,[],[f57192,f71980])).
% 26.16/4.99 tff(f71980,plain,(
% 26.16/4.99 spl4009_985 <=> ! [X1 : bool] : (~pp(X1) | ~sP510(one_one(nat),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_985])])).
% 26.16/4.99 tff(f57192,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (~pp(X1) | ~sP510(one_one(nat),X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48957])).
% 26.16/4.99 tff(f48957,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP510(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33913])).
% 26.16/4.99 tff(f33913,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : ((sP510(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) | ~sP510(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f33912])).
% 26.16/4.99 tff(f33912,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP510(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) | ~sP510(X1,X4)))),
% 26.16/4.99 inference(flattening,[],[f33911])).
% 26.16/4.99 tff(f33911,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP510(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) | ~sP510(X1,X4)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28112])).
% 26.16/4.99 tff(f28112,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : (sP510(X1,X4) <=> ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP510])])).
% 26.16/4.99 tff(f71978,plain,(
% 26.16/4.99 spl4009_984),
% 26.16/4.99 inference(avatar_split_clause,[],[f57184,f71976])).
% 26.16/4.99 tff(f71976,plain,(
% 26.16/4.99 spl4009_984 <=> ! [X1 : bool] : (sP501(one_one(nat),X1) | ~pp(X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_984])])).
% 26.16/4.99 tff(f57184,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (sP501(one_one(nat),X1) | ~pp(X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48928])).
% 26.16/4.99 tff(f48928,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (sP501(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33886])).
% 26.16/4.99 tff(f33886,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : ((sP501(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 | ~sP501(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f33885])).
% 26.16/4.99 tff(f33885,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP501(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 | ~sP501(X1,X4)))),
% 26.16/4.99 inference(flattening,[],[f33884])).
% 26.16/4.99 tff(f33884,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP501(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) | ~sP501(X1,X4)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28102])).
% 26.16/4.99 tff(f28102,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : (sP501(X1,X4) <=> ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP501])])).
% 26.16/4.99 tff(f71974,plain,(
% 26.16/4.99 spl4009_983),
% 26.16/4.99 inference(avatar_split_clause,[],[f57176,f71972])).
% 26.16/4.99 tff(f71972,plain,(
% 26.16/4.99 spl4009_983 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP493(X0,X1,X4,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_983])])).
% 26.16/4.99 tff(f57176,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP493(X0,X1,X4,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48878])).
% 26.16/4.99 tff(f48878,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X4 | ~sP493(X0,X1,X2,X3,X4)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33845])).
% 26.16/4.99 tff(f33845,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((sP493(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) & X2 != X3 & X2 != X4) | ~sP493(X0,X1,X2,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f33844])).
% 26.16/4.99 tff(f33844,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP493(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11) | ~sP493(X14,X13,X1,X12,X11)))),
% 26.16/4.99 inference(flattening,[],[f33843])).
% 26.16/4.99 tff(f33843,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP493(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11) | ~sP493(X14,X13,X1,X12,X11)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28092])).
% 26.16/4.99 tff(f28092,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : (sP493(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) & X1 != X12 & X1 != X11))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP493])])).
% 26.16/4.99 tff(f71970,plain,(
% 26.16/4.99 spl4009_982),
% 26.16/4.99 inference(avatar_split_clause,[],[f57175,f71968])).
% 26.16/4.99 tff(f71968,plain,(
% 26.16/4.99 spl4009_982 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : ~sP493(X0,X1,X3,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_982])])).
% 26.16/4.99 tff(f57175,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (~sP493(X0,X1,X3,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48879])).
% 26.16/4.99 tff(f48879,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (X2 != X3 | ~sP493(X0,X1,X2,X3,X4)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33845])).
% 26.16/4.99 tff(f71966,plain,(
% 26.16/4.99 spl4009_981),
% 26.16/4.99 inference(avatar_split_clause,[],[f57172,f71964])).
% 26.16/4.99 tff(f71964,plain,(
% 26.16/4.99 spl4009_981 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP485(X0,X1,X4,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_981])])).
% 26.16/4.99 tff(f57172,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP485(X0,X1,X4,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48853])).
% 26.16/4.99 tff(f48853,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP485(X0,X1,X2,X3,X4) | X2 != X4) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33817])).
% 26.16/4.99 tff(f33817,plain,(
% 26.16/4.99 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat,X4 : nat] : ((sP485(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X2,divide_divide(nat,aa(nat,nat,suc,X1),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X0))))) | X2 = X3 | X2 = X4 | ~sP485(X0,X1,X2,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f33816])).
% 26.16/4.99 tff(f33816,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP485(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11 | ~sP485(X14,X13,X1,X12,X11)))),
% 26.16/4.99 inference(flattening,[],[f33815])).
% 26.16/4.99 tff(f33815,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : ((sP485(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11) | ~sP485(X14,X13,X1,X12,X11)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28083])).
% 26.16/4.99 tff(f28083,plain,(
% 26.16/4.99 ! [X14 : list(vEBT_VEBT),X13 : nat,X1 : nat,X12 : nat,X11 : nat] : (sP485(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),aa(num,num,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),aa(num,num,bit0,one2))))),vEBT_VEBT_low(X1,divide_divide(nat,aa(nat,nat,suc,X13),aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X14))))) | X1 = X12 | X1 = X11))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP485])])).
% 26.16/4.99 tff(f71962,plain,(
% 26.16/4.99 spl4009_980),
% 26.16/4.99 inference(avatar_split_clause,[],[f57171,f71960])).
% 26.16/4.99 tff(f71960,plain,(
% 26.16/4.99 spl4009_980 <=> ! [X4 : nat,X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP485(X0,X1,X3,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_980])])).
% 26.16/4.99 tff(f57171,plain,(
% 26.16/4.99 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP485(X0,X1,X3,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48854])).
% 26.16/4.99 tff(f48854,plain,(
% 26.16/4.99 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat,X4 : nat] : (sP485(X0,X1,X2,X3,X4) | X2 != X3) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33817])).
% 26.16/4.99 tff(f71958,plain,(
% 26.16/4.99 spl4009_979),
% 26.16/4.99 inference(avatar_split_clause,[],[f57162,f71956])).
% 26.16/4.99 tff(f71956,plain,(
% 26.16/4.99 spl4009_979 <=> ! [X1 : bool] : (~pp(X1) | ~sP472(one_one(nat),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_979])])).
% 26.16/4.99 tff(f57162,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (~pp(X1) | ~sP472(one_one(nat),X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48789])).
% 26.16/4.99 tff(f48789,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP472(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33751])).
% 26.16/4.99 tff(f33751,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : ((sP472(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) | ~sP472(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f33750])).
% 26.16/4.99 tff(f33750,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP472(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) | ~sP472(X1,X4)))),
% 26.16/4.99 inference(flattening,[],[f33749])).
% 26.16/4.99 tff(f33749,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP472(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) | ~sP472(X1,X4)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28067])).
% 26.16/4.99 tff(f28067,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : (sP472(X1,X4) <=> ((one_one(nat) != X1 | (~pp(X4) & one_one(nat) = X1)) & zero_zero(nat) != X1))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP472])])).
% 26.16/4.99 tff(f71954,plain,(
% 26.16/4.99 spl4009_978),
% 26.16/4.99 inference(avatar_split_clause,[],[f57156,f71952])).
% 26.16/4.99 tff(f71952,plain,(
% 26.16/4.99 spl4009_978 <=> ! [X1 : bool] : (sP466(one_one(nat),X1) | ~pp(X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_978])])).
% 26.16/4.99 tff(f57156,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (sP466(one_one(nat),X1) | ~pp(X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f48772])).
% 26.16/4.99 tff(f48772,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (sP466(X0,X1) | one_one(nat) != X0 | ~pp(X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33735])).
% 26.16/4.99 tff(f33735,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : ((sP466(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 | ~sP466(X0,X1)))),
% 26.16/4.99 inference(rectify,[],[f33734])).
% 26.16/4.99 tff(f33734,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP466(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 | ~sP466(X1,X4)))),
% 26.16/4.99 inference(flattening,[],[f33733])).
% 26.16/4.99 tff(f33733,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : ((sP466(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) | ~sP466(X1,X4)))),
% 26.16/4.99 inference(nnf_transformation,[],[f28060])).
% 26.16/4.99 tff(f28060,plain,(
% 26.16/4.99 ! [X1 : nat,X4 : bool] : (sP466(X1,X4) <=> ((one_one(nat) = X1 & (pp(X4) | one_one(nat) != X1)) | zero_zero(nat) = X1))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP466])])).
% 26.16/4.99 tff(f71950,plain,(
% 26.16/4.99 spl4009_977 | ~spl4009_65 | ~spl4009_764),
% 26.16/4.99 inference(avatar_split_clause,[],[f71125,f70790,f67351,f71947])).
% 26.16/4.99 tff(f71947,plain,(
% 26.16/4.99 spl4009_977 <=> sP29(real)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_977])])).
% 26.16/4.99 tff(f70790,plain,(
% 26.16/4.99 spl4009_764 <=> ! [X0 : $tType] : (sP29(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_764])])).
% 26.16/4.99 tff(f71125,plain,(
% 26.16/4.99 sP29(real) | (~spl4009_65 | ~spl4009_764)),
% 26.16/4.99 inference(resolution,[],[f70791,f67353])).
% 26.16/4.99 tff(f70791,plain,(
% 26.16/4.99 ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP29(X0)) ) | ~spl4009_764),
% 26.16/4.99 inference(avatar_component_clause,[],[f70790])).
% 26.16/4.99 tff(f71945,plain,(
% 26.16/4.99 spl4009_976),
% 26.16/4.99 inference(avatar_split_clause,[],[f56830,f71943])).
% 26.16/4.99 tff(f71943,plain,(
% 26.16/4.99 spl4009_976 <=> ! [X1 : bool] : (~pp(X1) | ~sP265(one_one(nat),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_976])])).
% 26.16/4.99 tff(f56830,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (~pp(X1) | ~sP265(one_one(nat),X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f45694])).
% 26.16/4.99 tff(f45694,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP265(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31766])).
% 26.16/4.99 tff(f31766,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP265(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31765])).
% 26.16/4.99 tff(f31765,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP265(X1,X3))),
% 26.16/4.99 inference(nnf_transformation,[],[f27788])).
% 26.16/4.99 tff(f27788,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP265(X1,X3))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP265])])).
% 26.16/4.99 tff(f71941,plain,(
% 26.16/4.99 spl4009_975),
% 26.16/4.99 inference(avatar_split_clause,[],[f56827,f71939])).
% 26.16/4.99 tff(f71939,plain,(
% 26.16/4.99 spl4009_975 <=> ! [X1 : bool] : (~pp(X1) | ~sP260(one_one(nat),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_975])])).
% 26.16/4.99 tff(f56827,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (~pp(X1) | ~sP260(one_one(nat),X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f45679])).
% 26.16/4.99 tff(f45679,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP260(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31753])).
% 26.16/4.99 tff(f31753,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP260(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31752])).
% 26.16/4.99 tff(f31752,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP260(X1,X3))),
% 26.16/4.99 inference(nnf_transformation,[],[f27782])).
% 26.16/4.99 tff(f27782,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP260(X1,X3))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP260])])).
% 26.16/4.99 tff(f71937,plain,(
% 26.16/4.99 spl4009_974),
% 26.16/4.99 inference(avatar_split_clause,[],[f56786,f71935])).
% 26.16/4.99 tff(f71935,plain,(
% 26.16/4.99 spl4009_974 <=> ! [X1 : bool] : (~pp(X1) | ~sP219(one_one(nat),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_974])])).
% 26.16/4.99 tff(f56786,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (~pp(X1) | ~sP219(one_one(nat),X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f45364])).
% 26.16/4.99 tff(f45364,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP219(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31503])).
% 26.16/4.99 tff(f31503,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP219(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31502])).
% 26.16/4.99 tff(f31502,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP219(X1,X3))),
% 26.16/4.99 inference(nnf_transformation,[],[f27721])).
% 26.16/4.99 tff(f27721,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP219(X1,X3))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP219])])).
% 26.16/4.99 tff(f71933,plain,(
% 26.16/4.99 spl4009_973),
% 26.16/4.99 inference(avatar_split_clause,[],[f56783,f71931])).
% 26.16/4.99 tff(f71931,plain,(
% 26.16/4.99 spl4009_973 <=> ! [X1 : bool] : (~pp(X1) | ~sP216(one_one(nat),X1))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_973])])).
% 26.16/4.99 tff(f56783,plain,(
% 26.16/4.99 ( ! [X1 : bool] : (~pp(X1) | ~sP216(one_one(nat),X1)) )),
% 26.16/4.99 inference(equality_resolution,[],[f45356])).
% 26.16/4.99 tff(f45356,plain,(
% 26.16/4.99 ( ! [X0 : nat,X1 : bool] : (one_one(nat) != X0 | ~pp(X1) | ~sP216(X0,X1)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f31494])).
% 26.16/4.99 tff(f31494,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool] : (((one_one(nat) != X0 | (~pp(X1) & one_one(nat) = X0)) & zero_zero(nat) != X0) | ~sP216(X0,X1))),
% 26.16/4.99 inference(rectify,[],[f31493])).
% 26.16/4.99 tff(f31493,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP216(X1,X3))),
% 26.16/4.99 inference(nnf_transformation,[],[f27717])).
% 26.16/4.99 tff(f27717,plain,(
% 26.16/4.99 ! [X1 : nat,X3 : bool] : (((one_one(nat) != X1 | (~pp(X3) & one_one(nat) = X1)) & zero_zero(nat) != X1) | ~sP216(X1,X3))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP216])])).
% 26.16/4.99 tff(f71929,plain,(
% 26.16/4.99 spl4009_972),
% 26.16/4.99 inference(avatar_split_clause,[],[f56715,f71927])).
% 26.16/4.99 tff(f71927,plain,(
% 26.16/4.99 spl4009_972 <=> ! [X2 : bool,X1 : bool] : vEBT_invar_vebt(vEBT_Leaf(X1,X2),one_one(nat))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_972])])).
% 26.16/4.99 tff(f56715,plain,(
% 26.16/4.99 ( ! [X2 : bool,X1 : bool] : (vEBT_invar_vebt(vEBT_Leaf(X1,X2),one_one(nat))) )),
% 26.16/4.99 inference(equality_resolution,[],[f43870])).
% 26.16/4.99 tff(f43870,plain,(
% 26.16/4.99 ( ! [X2 : bool,X0 : vEBT_VEBT,X1 : bool] : (vEBT_invar_vebt(X0,one_one(nat)) | vEBT_Leaf(X1,X2) != X0) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30886])).
% 26.16/4.99 tff(f30886,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : ((vEBT_invar_vebt(X0,one_one(nat)) | ! [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) != X0) & (vEBT_Leaf(sK1545(X0),sK1546(X0)) = X0 | ~vEBT_invar_vebt(X0,one_one(nat))))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1545,sK1546])],[f30884,f30885])).
% 26.16/4.99 tff(f30885,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : (? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0 => vEBT_Leaf(sK1545(X0),sK1546(X0)) = X0)),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f30884,plain,(
% 26.16/4.99 ! [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))))),
% 26.16/4.99 inference(rectify,[],[f30883])).
% 26.16/4.99 tff(f30883,plain,(
% 26.16/4.99 ! [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))))),
% 26.16/4.99 inference(nnf_transformation,[],[f13660])).
% 26.16/4.99 tff(f13660,plain,(
% 26.16/4.99 ! [X0 : vEBT_VEBT] : (vEBT_invar_vebt(X0,one_one(nat)) <=> ? [X1 : bool,X2 : bool] : vEBT_Leaf(X1,X2) = X0)),
% 26.16/4.99 inference(rectify,[],[f1336])).
% 26.16/4.99 tff(f1336,axiom,(
% 26.16/4.99 ! [X36 : vEBT_VEBT] : (vEBT_invar_vebt(X36,one_one(nat)) <=> ? [X184 : bool,X185 : bool] : vEBT_Leaf(X184,X185) = X36)),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1335_deg1Leaf)).
% 26.16/4.99 tff(f71925,plain,(
% 26.16/4.99 spl4009_971),
% 26.16/4.99 inference(avatar_split_clause,[],[f56697,f71923])).
% 26.16/4.99 tff(f71923,plain,(
% 26.16/4.99 spl4009_971 <=> ! [X2 : $tType,X4 : X2,X3 : X2] : sP195(X2,X3,X4,X3,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_971])])).
% 26.16/4.99 tff(f56697,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X4 : X2] : (sP195(X2,X3,X4,X3,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f56696])).
% 26.16/4.99 tff(f56696,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X1 : X2,X4 : X2] : (sP195(X2,X3,X1,X3,X4) | X1 != X4) )),
% 26.16/4.99 inference(equality_resolution,[],[f43264])).
% 26.16/4.99 tff(f43264,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (sP195(X2,X0,X1,X3,X4) | X0 != X3 | X1 != X4) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30513])).
% 26.16/4.99 tff(f30513,plain,(
% 26.16/4.99 ! [X0 : X2,X1 : X2,X2 : $tType,X3 : X2,X4 : X2] : ((sP195(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_eq(X2),X4),X3))) & (X0 != X3 | X1 != 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_eq(X2),X4),X3))) | (X0 = X3 & X1 = X4) | ~sP195(X2,X0,X1,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f30512])).
% 26.16/4.99 tff(f30512,plain,(
% 26.16/4.99 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP195(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_eq(X0),X1),X2))) & (X2 != X4 | X1 != X3))) & ((~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_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3) | ~sP195(X0,X4,X3,X2,X1)))),
% 26.16/4.99 inference(flattening,[],[f30511])).
% 26.16/4.99 tff(f30511,plain,(
% 26.16/4.99 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : ((sP195(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_eq(X0),X1),X2))) & (X2 != X4 | X1 != X3))) & (((~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_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3)) | ~sP195(X0,X4,X3,X2,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27678])).
% 26.16/4.99 tff(f27678,plain,(
% 26.16/4.99 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP195(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_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3)))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP195])])).
% 26.16/4.99 tff(f71921,plain,(
% 26.16/4.99 spl4009_970),
% 26.16/4.99 inference(avatar_split_clause,[],[f56666,f71919])).
% 26.16/4.99 tff(f71919,plain,(
% 26.16/4.99 spl4009_970 <=> ! [X2 : $tType,X4 : X2,X1 : X2] : sP183(X2,X1,X1,X4,X4)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_970])])).
% 26.16/4.99 tff(f56666,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X1 : X2,X4 : X2] : (sP183(X2,X1,X1,X4,X4)) )),
% 26.16/4.99 inference(equality_resolution,[],[f56665])).
% 26.16/4.99 tff(f56665,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X1 : X2,X4 : X2] : (sP183(X2,X1,X1,X3,X4) | X3 != X4) )),
% 26.16/4.99 inference(equality_resolution,[],[f42915])).
% 26.16/4.99 tff(f42915,plain,(
% 26.16/4.99 ( ! [X2 : $tType,X3 : X2,X0 : X2,X1 : X2,X4 : X2] : (sP183(X2,X0,X1,X3,X4) | X0 != X1 | X3 != X4) )),
% 26.16/4.99 inference(cnf_transformation,[],[f30304])).
% 26.16/4.99 tff(f30304,plain,(
% 26.16/4.99 ! [X0 : X2,X1 : X2,X2 : $tType,X3 : X2,X4 : X2] : ((sP183(X2,X0,X1,X3,X4) | ((X0 != X1 | X3 != X4) & (~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X0),X3)) | ~pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),X4))))) & ((X0 = X1 & X3 = X4) | (pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X0),X3)) & pp(aa(X2,bool,aa(X2,fun(X2,bool),ord_less_eq(X2),X1),X4))) | ~sP183(X2,X0,X1,X3,X4)))),
% 26.16/4.99 inference(rectify,[],[f30303])).
% 26.16/4.99 tff(f30303,plain,(
% 26.16/4.99 ! [X4 : X0,X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : ((sP183(X0,X4,X2,X3,X1) | ((X2 != X4 | X1 != X3) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))))) & ((X2 = X4 & X1 = X3) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))) | ~sP183(X0,X4,X2,X3,X1)))),
% 26.16/4.99 inference(flattening,[],[f30302])).
% 26.16/4.99 tff(f30302,plain,(
% 26.16/4.99 ! [X4 : X0,X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : ((sP183(X0,X4,X2,X3,X1) | ((X2 != X4 | X1 != X3) & (~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))))) & (((X2 = X4 & X1 = X3) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)))) | ~sP183(X0,X4,X2,X3,X1)))),
% 26.16/4.99 inference(nnf_transformation,[],[f27658])).
% 26.16/4.99 tff(f27658,plain,(
% 26.16/4.99 ! [X4 : X0,X2 : X0,X0 : $tType,X3 : X0,X1 : X0] : (sP183(X0,X4,X2,X3,X1) <=> ((X2 = X4 & X1 = X3) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)))))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP183])])).
% 26.16/4.99 tff(f71917,plain,(
% 26.16/4.99 spl4009_969),
% 26.16/4.99 inference(avatar_split_clause,[],[f56599,f71915])).
% 26.16/4.99 tff(f71915,plain,(
% 26.16/4.99 spl4009_969 <=> ! [X0 : $tType,X2 : X0] : (~sP155(X0,X2,X2) | ~sP156(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_969])])).
% 26.16/4.99 tff(f56599,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : X0] : (~sP155(X0,X2,X2) | ~sP156(X0)) )),
% 26.16/4.99 inference(equality_resolution,[],[f41602])).
% 26.16/4.99 tff(f41602,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (X1 != X2 | ~sP155(X0,X2,X1) | ~sP156(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29759])).
% 26.16/4.99 tff(f29759,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 != X2 | ~sP155(X0,X2,X1)) & (sP155(X0,X2,X1) | X1 = X2)) | ~sP156(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27616])).
% 26.16/4.99 tff(f27616,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 != X2 <=> sP155(X0,X2,X1)) | ~sP156(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP156])])).
% 26.16/4.99 tff(f71913,plain,(
% 26.16/4.99 spl4009_968),
% 26.16/4.99 inference(avatar_split_clause,[],[f56442,f71911])).
% 26.16/4.99 tff(f71911,plain,(
% 26.16/4.99 spl4009_968 <=> ! [X0 : $tType,X2 : X0] : (sP102(X0,X2,X2) | ~sP103(X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_968])])).
% 26.16/4.99 tff(f56442,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : X0] : (sP102(X0,X2,X2) | ~sP103(X0)) )),
% 26.16/4.99 inference(equality_resolution,[],[f39994])).
% 26.16/4.99 tff(f39994,plain,(
% 26.16/4.99 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP102(X0,X1,X2) | X1 != X2 | ~sP103(X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f29195])).
% 26.16/4.99 tff(f29195,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((X1 = X2 | ~sP102(X0,X1,X2)) & (sP102(X0,X1,X2) | X1 != X2)) | ~sP103(X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f27530])).
% 26.16/4.99 tff(f27530,plain,(
% 26.16/4.99 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 = X2 <=> sP102(X0,X1,X2)) | ~sP103(X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])])).
% 26.16/4.99 tff(f71909,plain,(
% 26.16/4.99 spl4009_967),
% 26.16/4.99 inference(avatar_split_clause,[],[f53872,f71906])).
% 26.16/4.99 tff(f71906,plain,(
% 26.16/4.99 spl4009_967 <=> zero_zero(real) = cos(real,sK4008)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_967])])).
% 26.16/4.99 tff(f53872,plain,(
% 26.16/4.99 zero_zero(real) = cos(real,sK4008)),
% 26.16/4.99 inference(cnf_transformation,[],[f36856])).
% 26.16/4.99 tff(f36856,plain,(
% 26.16/4.99 ! [X1 : real] : (sK4008 = X1 | zero_zero(real) != cos(real,X1) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,sK4008) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sK4008),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),sK4008))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4008])],[f27379,f36855])).
% 26.16/4.99 tff(f36855,plain,(
% 26.16/4.99 ? [X0 : real] : (! [X1 : real] : (X0 = X1 | zero_zero(real) != cos(real,X1) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,X0) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X0))) => (! [X1 : real] : (sK4008 = X1 | zero_zero(real) != cos(real,X1) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,sK4008) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),sK4008),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),sK4008)))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f27379,plain,(
% 26.16/4.99 ? [X0 : real] : (! [X1 : real] : (X0 = X1 | zero_zero(real) != cos(real,X1) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X1))) & zero_zero(real) = cos(real,X0) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X0)))),
% 26.16/4.99 inference(flattening,[],[f27378])).
% 26.16/4.99 tff(f27378,plain,(
% 26.16/4.99 ? [X0 : real] : (! [X1 : real] : (X0 = X1 | (zero_zero(real) != cos(real,X1) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X1)))) & zero_zero(real) = cos(real,X0) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X0)))),
% 26.16/4.99 inference(ennf_transformation,[],[f18775])).
% 26.16/4.99 tff(f18775,plain,(
% 26.16/4.99 ? [X0 : real] : (! [X1 : real] : ((zero_zero(real) = cos(real,X1) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X1),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X1))) => X0 = X1) & zero_zero(real) = cos(real,X0) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X0),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X0)))),
% 26.16/4.99 inference(rectify,[],[f2734])).
% 26.16/4.99 tff(f2734,axiom,(
% 26.16/4.99 ? [X52 : real] : (! [X96 : real] : ((zero_zero(real) = cos(real,X96) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X96),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X96))) => X52 = X96) & zero_zero(real) = cos(real,X52) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),X52),aa(num,real,numeral_numeral(real),aa(num,num,bit0,one2)))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less_eq(real),zero_zero(real)),X52)))),
% 26.16/4.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2733_cos__is__zero)).
% 26.16/4.99 tff(f71904,plain,(
% 26.16/4.99 spl4009_966 | ~spl4009_64 | ~spl4009_764),
% 26.16/4.99 inference(avatar_split_clause,[],[f71124,f70790,f67346,f71901])).
% 26.16/4.99 tff(f71901,plain,(
% 26.16/4.99 spl4009_966 <=> sP29(complex)),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_966])])).
% 26.16/4.99 tff(f71124,plain,(
% 26.16/4.99 sP29(complex) | (~spl4009_64 | ~spl4009_764)),
% 26.16/4.99 inference(resolution,[],[f70791,f67348])).
% 26.16/4.99 tff(f71899,plain,(
% 26.16/4.99 spl4009_965),
% 26.16/4.99 inference(avatar_split_clause,[],[f48903,f71897])).
% 26.16/4.99 tff(f71897,plain,(
% 26.16/4.99 spl4009_965 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP506(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_965])])).
% 26.16/4.99 tff(f48903,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP506(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33870])).
% 26.16/4.99 tff(f33870,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK2972(X0,X1,X2),sK2973(X0,X1,X2),sK2974(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),sK2972(X0,X1,X2),sK2973(X0,X1,X2),sK2974(X0,X1,X2)) = X2) | ~sP506(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2972,sK2973,sK2974])],[f33868,f33869])).
% 26.16/4.99 tff(f33869,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),sK2972(X0,X1,X2),sK2973(X0,X1,X2),sK2974(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),sK2972(X0,X1,X2),sK2973(X0,X1,X2),sK2974(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33868,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP506(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33867])).
% 26.16/4.99 tff(f33867,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP506(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28107])).
% 26.16/4.99 tff(f28107,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP506(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP506])])).
% 26.16/4.99 tff(f71895,plain,(
% 26.16/4.99 spl4009_964),
% 26.16/4.99 inference(avatar_split_clause,[],[f48900,f71893])).
% 26.16/4.99 tff(f71893,plain,(
% 26.16/4.99 spl4009_964 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP507(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_964])])).
% 26.16/4.99 tff(f48900,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP507(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33866])).
% 26.16/4.99 tff(f33866,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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)),sK2969(X0,X1,X2)),zero_zero(nat),sK2970(X0,X1,X2),sK2971(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2969(X0,X1,X2)),zero_zero(nat),sK2970(X0,X1,X2),sK2971(X0,X1,X2)) = X2) | ~sP507(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2969,sK2970,sK2971])],[f33864,f33865])).
% 26.16/4.99 tff(f33865,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(vEBT_VEBT,fun(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)),sK2969(X0,X1,X2)),zero_zero(nat),sK2970(X0,X1,X2),sK2971(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2969(X0,X1,X2)),zero_zero(nat),sK2970(X0,X1,X2),sK2971(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33864,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP507(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33863])).
% 26.16/4.99 tff(f33863,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP507(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28108])).
% 26.16/4.99 tff(f28108,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP507(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP507])])).
% 26.16/4.99 tff(f71891,plain,(
% 26.16/4.99 spl4009_963),
% 26.16/4.99 inference(avatar_split_clause,[],[f48897,f71889])).
% 26.16/4.99 tff(f71889,plain,(
% 26.16/4.99 spl4009_963 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP508(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_963])])).
% 26.16/4.99 tff(f48897,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP508(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33862])).
% 26.16/4.99 tff(f33862,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_vebt_member_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(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)),sK2966(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2967(X0,X1,X2),sK2968(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2966(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2967(X0,X1,X2),sK2968(X0,X1,X2)) = X2) | ~sP508(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2966,sK2967,sK2968])],[f33860,f33861])).
% 26.16/4.99 tff(f33861,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(vEBT_VEBT,fun(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)),sK2966(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2967(X0,X1,X2),sK2968(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2966(X0,X1,X2)),aa(nat,nat,suc,zero_zero(nat)),sK2967(X0,X1,X2),sK2968(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33860,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP508(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33859])).
% 26.16/4.99 tff(f33859,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP508(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28109])).
% 26.16/4.99 tff(f28109,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP508(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP508])])).
% 26.16/4.99 tff(f71887,plain,(
% 26.16/4.99 spl4009_962),
% 26.16/4.99 inference(avatar_split_clause,[],[f48843,f71885])).
% 26.16/4.99 tff(f71885,plain,(
% 26.16/4.99 spl4009_962 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP488(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_962])])).
% 26.16/4.99 tff(f48843,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP488(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33809])).
% 26.16/4.99 tff(f33809,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2943(X0,X1,X2),sK2944(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Leaf(sK2943(X0,X1,X2),sK2944(X0,X1,X2)) = X2) | ~sP488(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2943,sK2944])],[f33807,f33808])).
% 26.16/4.99 tff(f33808,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(sK2943(X0,X1,X2),sK2944(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Leaf(sK2943(X0,X1,X2),sK2944(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33807,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),X0)) & ~pp(X1) & vEBT_Leaf(X3,X4) = X2) | ~sP488(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33806])).
% 26.16/4.99 tff(f33806,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),X1)) & ~pp(X2) & vEBT_Leaf(X3,X4) = X0) | ~sP488(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28086])).
% 26.16/4.99 tff(f28086,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Leaf(X3,X4)),X1)) & ~pp(X2) & vEBT_Leaf(X3,X4) = X0) | ~sP488(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP488])])).
% 26.16/4.99 tff(f71883,plain,(
% 26.16/4.99 spl4009_961),
% 26.16/4.99 inference(avatar_split_clause,[],[f48840,f71881])).
% 26.16/4.99 tff(f71881,plain,(
% 26.16/4.99 spl4009_961 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP489(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_961])])).
% 26.16/4.99 tff(f48840,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP489(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33805])).
% 26.16/4.99 tff(f33805,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V4351362008482014158ma_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2941(X0,X1,X2),sK2942(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2941(X0,X1,X2),sK2942(X0,X1,X2)) = X2) | ~sP489(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2941,sK2942])],[f33803,f33804])).
% 26.16/4.99 tff(f33804,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2941(X0,X1,X2),sK2942(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2941(X0,X1,X2),sK2942(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33803,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP489(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33802])).
% 26.16/4.99 tff(f33802,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP489(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28087])).
% 26.16/4.99 tff(f28087,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP489(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP489])])).
% 26.16/4.99 tff(f71879,plain,(
% 26.16/4.99 spl4009_960),
% 26.16/4.99 inference(avatar_split_clause,[],[f48755,f71877])).
% 26.16/4.99 tff(f71877,plain,(
% 26.16/4.99 spl4009_960 <=> ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP470(X0,X1,X2))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_960])])).
% 26.16/4.99 tff(f48755,plain,(
% 26.16/4.99 ( ! [X2 : vEBT_VEBT,X0 : nat,X1 : bool] : (~pp(X1) | ~sP470(X0,X1,X2)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f33722])).
% 26.16/4.99 tff(f33722,plain,(
% 26.16/4.99 ! [X0 : nat,X1 : bool,X2 : vEBT_VEBT] : ((accp(product_prod(vEBT_VEBT,nat),vEBT_V5765760719290551771er_rel,aa(nat,product_prod(vEBT_VEBT,nat),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK2901(X0,X1,X2),zero_zero(nat),sK2902(X0,X1,X2),sK2903(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(sK2901(X0,X1,X2),zero_zero(nat),sK2902(X0,X1,X2),sK2903(X0,X1,X2)) = X2) | ~sP470(X0,X1,X2))),
% 26.16/4.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2901,sK2902,sK2903])],[f33720,f33721])).
% 26.16/4.99 tff(f33721,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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),aa(vEBT_VEBT,fun(nat,product_prod(vEBT_VEBT,nat)),product_Pair(vEBT_VEBT,nat),vEBT_Node(sK2901(X0,X1,X2),zero_zero(nat),sK2902(X0,X1,X2),sK2903(X0,X1,X2))),X0)) & ~pp(X1) & vEBT_Node(sK2901(X0,X1,X2),zero_zero(nat),sK2902(X0,X1,X2),sK2903(X0,X1,X2)) = X2))),
% 26.16/4.99 introduced(choice_axiom,[])).
% 26.16/4.99 tff(f33720,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP470(X0,X1,X2))),
% 26.16/4.99 inference(rectify,[],[f33719])).
% 26.16/4.99 tff(f33719,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP470(X1,X2,X0))),
% 26.16/4.99 inference(nnf_transformation,[],[f28064])).
% 26.16/4.99 tff(f28064,plain,(
% 26.16/4.99 ! [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),aa(vEBT_VEBT,fun(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) | ~sP470(X1,X2,X0))),
% 26.16/4.99 introduced(predicate_definition_introduction,[new_symbols(naming,[sP470])])).
% 26.16/4.99 tff(f71875,plain,(
% 26.16/4.99 spl4009_959),
% 26.16/4.99 inference(avatar_split_clause,[],[f46701,f71873])).
% 26.16/4.99 tff(f71873,plain,(
% 26.16/4.99 spl4009_959 <=> ! [X1 : $tType,X0 : list(list(X1))] : (sP322(X1,X0) | ~sP323(X1,X0))),
% 26.16/4.99 introduced(avatar_definition,[new_symbols(naming,[spl4009_959])])).
% 26.16/4.99 tff(f46701,plain,(
% 26.16/4.99 ( ! [X1 : $tType,X0 : list(list(X1))] : (sP322(X1,X0) | ~sP323(X1,X0)) )),
% 26.16/4.99 inference(cnf_transformation,[],[f32503])).
% 26.16/4.99 tff(f32503,plain,(
% 26.16/4.99 ! [X0 : list(list(X1)),X1 : $tType] : ((sP323(X1,X0) | ~sP322(X1,X0) | (~distinct(X1,sK2375(X1,X0)) & pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),sK2375(X1,X0)),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))) | ~distinct(list(X1),removeAll(list(X1),nil(X1),X0))) & ((sP322(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))) | ~sP323(X1,X0)))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2375])],[f32501,f32502])).
% 26.16/5.00 tff(f32502,plain,(
% 26.16/5.00 ! [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,sK2375(X1,X0)) & pp(aa(set(list(X1)),bool,aa(list(X1),fun(set(list(X1)),bool),member(list(X1)),sK2375(X1,X0)),aa(list(list(X1)),set(list(X1)),set2(list(X1)),X0)))))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32501,plain,(
% 26.16/5.00 ! [X0 : list(list(X1)),X1 : $tType] : ((sP323(X1,X0) | ~sP322(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))) & ((sP322(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))) | ~sP323(X1,X0)))),
% 26.16/5.00 inference(rectify,[],[f32500])).
% 26.16/5.00 tff(f32500,plain,(
% 26.16/5.00 ! [X1 : list(list(X0)),X0 : $tType] : ((sP323(X0,X1) | ~sP322(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))) & ((sP322(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))) | ~sP323(X0,X1)))),
% 26.16/5.00 inference(flattening,[],[f32499])).
% 26.16/5.00 tff(f32499,plain,(
% 26.16/5.00 ! [X1 : list(list(X0)),X0 : $tType] : ((sP323(X0,X1) | (~sP322(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)))) & ((sP322(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))) | ~sP323(X0,X1)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27873])).
% 26.16/5.00 tff(f71871,plain,(
% 26.16/5.00 spl4009_958),
% 26.16/5.00 inference(avatar_split_clause,[],[f46686,f71869])).
% 26.16/5.00 tff(f71869,plain,(
% 26.16/5.00 spl4009_958 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~sP321(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_958])])).
% 26.16/5.00 tff(f46686,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~sP321(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32484])).
% 26.16/5.00 tff(f32484,plain,(
% 26.16/5.00 ! [X0 : vEBT_VEBT,X1 : nat] : ((vEBT_invar_vebt(X0,X1) | ~sP321(X0,X1)) & (sP321(X0,X1) | ~vEBT_invar_vebt(X0,X1)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27871])).
% 26.16/5.00 tff(f27871,plain,(
% 26.16/5.00 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) <=> sP321(X0,X1))),
% 26.16/5.00 inference(definition_folding,[],[f24609,f27870,f27869,f27868,f27867,f27866,f27865,f27864,f27863,f27862,f27861,f27860,f27859,f27858])).
% 26.16/5.00 tff(f27858,plain,(
% 26.16/5.00 ! [X18 : nat,X17 : nat,X15 : nat,X19 : nat,X14 : list(vEBT_VEBT)] : (sP309(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))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP309])])).
% 26.16/5.00 tff(f27859,plain,(
% 26.16/5.00 ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : (sP310(X14,X15,X17,X18) <=> (! [X19 : nat] : ((sP309(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),aa(num,num,bit0,one2))),X15)))) | X17 = X18))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP310])])).
% 26.16/5.00 tff(f27860,plain,(
% 26.16/5.00 ! [X16 : vEBT_VEBT,X14 : list(vEBT_VEBT),X15 : nat] : (sP311(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),aa(num,num,bit0,one2))),X15)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP311])])).
% 26.16/5.00 tff(f27862,plain,(
% 26.16/5.00 ! [X6 : nat,X5 : nat,X3 : nat,X7 : nat,X2 : list(vEBT_VEBT)] : (sP313(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))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP313])])).
% 26.16/5.00 tff(f27863,plain,(
% 26.16/5.00 ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : (sP314(X2,X3,X5,X6) <=> (! [X7 : nat] : ((sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) | X5 = X6))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP314])])).
% 26.16/5.00 tff(f27864,plain,(
% 26.16/5.00 ! [X4 : vEBT_VEBT,X2 : list(vEBT_VEBT),X3 : nat] : (sP315(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP315])])).
% 26.16/5.00 tff(f27866,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : vEBT_VEBT] : (sP317(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),aa(num,num,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))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP317])])).
% 26.16/5.00 tff(f27867,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : vEBT_VEBT] : (sP318(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),aa(num,num,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))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP318])])).
% 26.16/5.00 tff(f27868,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : vEBT_VEBT] : (sP319(X1,X0) <=> ? [X14 : list(vEBT_VEBT),X15 : nat,X16 : vEBT_VEBT,X17 : nat,X18 : nat] : (sP310(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),aa(num,num,bit0,one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X17),X18)) & sP312(X14,X18,X17) & sP311(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X17),X18)),X1,X14,X16) = X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP319])])).
% 26.16/5.00 tff(f27869,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : vEBT_VEBT] : (sP320(X1,X0) <=> ? [X2 : list(vEBT_VEBT),X3 : nat,X4 : vEBT_VEBT,X5 : nat,X6 : nat] : (sP314(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),aa(num,num,bit0,one2))),X1))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X5),X6)) & sP316(X2,X6,X5) & sP315(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),aa(num,num,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),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X5),X6)),X1,X2,X4) = X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP320])])).
% 26.16/5.00 tff(f24609,plain,(
% 26.16/5.00 ! [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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(nat,fun(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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(nat,fun(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),aa(num,num,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),aa(num,num,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)))),
% 26.16/5.00 inference(flattening,[],[f24608])).
% 26.16/5.00 tff(f24608,plain,(
% 26.16/5.00 ! [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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(nat,fun(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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(nat,fun(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),aa(num,num,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),aa(num,num,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)))),
% 26.16/5.00 inference(ennf_transformation,[],[f15279])).
% 26.16/5.00 tff(f15279,plain,(
% 26.16/5.00 ! [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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(nat,fun(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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(num,num,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),aa(nat,fun(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),aa(num,num,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),aa(num,num,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)))),
% 26.16/5.00 inference(rectify,[],[f1437])).
% 26.16/5.00 tff(f1437,axiom,(
% 26.16/5.00 ! [X200 : vEBT_VEBT,X201 : nat] : (vEBT_invar_vebt(X200,X201) <=> (? [X202 : list(vEBT_VEBT),X118 : nat,X203 : vEBT_VEBT,X204 : nat,X205 : nat] : ((X204 != X205 => ! [X125 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X125),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X118)))) => (! [X38 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X202),X125)),vEBT_VEBT_low(X38,X118))) & vEBT_VEBT_high(X38,X118) = X125) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X38),X205)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X204),X38)))) & (vEBT_VEBT_high(X205,X118) = X125 => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X202),X125)),vEBT_VEBT_low(X205,X118))))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X205),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X201))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X204),X205)) & (X204 = X205 => ! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => ~? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X38),X92)))) & ! [X125 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X125),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X118)))) => (? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X202),X125)),X92)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X203),X125)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X118),aa(nat,nat,suc,X118)) = X201 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X202) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X118)) & vEBT_invar_vebt(X203,aa(nat,nat,suc,X118)) & ! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => vEBT_invar_vebt(X38,X118)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X204),X205)),X201,X202,X203) = X200) | ? [X202 : list(vEBT_VEBT),X118 : nat,X203 : vEBT_VEBT,X204 : nat,X205 : nat] : ((X204 != X205 => ! [X125 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X125),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X118))) => (! [X38 : nat] : ((pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X202),X125)),vEBT_VEBT_low(X38,X118))) & vEBT_VEBT_high(X38,X118) = X125) => (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X38),X205)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X204),X38)))) & (vEBT_VEBT_high(X205,X118) = X125 => pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X202),X125)),vEBT_VEBT_low(X205,X118))))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X205),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X201))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X204),X205)) & (X204 = X205 => ! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => ~? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X38),X92)))) & ! [X125 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X125),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X118))) => (? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X202),X125)),X92)) <=> pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X203),X125)))) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X118),X118) = X201 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X202) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X118) & vEBT_invar_vebt(X203,X118) & ! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => vEBT_invar_vebt(X38,X118)) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X204),X205)),X201,X202,X203) = X200) | ? [X202 : list(vEBT_VEBT),X118 : nat,X203 : vEBT_VEBT] : (! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => ~? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X38),X92))) & ~? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X203),X92)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X118),aa(nat,nat,suc,X118)) = X201 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X202) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X118)) & vEBT_invar_vebt(X203,aa(nat,nat,suc,X118)) & ! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => vEBT_invar_vebt(X38,X118)) & vEBT_Node(none(product_prod(nat,nat)),X201,X202,X203) = X200) | ? [X202 : list(vEBT_VEBT),X118 : nat,X203 : vEBT_VEBT] : (! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => ~? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X38),X92))) & ~? [X92 : nat] : pp(aa(nat,bool,aa(vEBT_VEBT,fun(nat,bool),vEBT_V8194947554948674370ptions,X203),X92)) & aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X118),X118) = X201 & aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X202) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X118) & vEBT_invar_vebt(X203,X118) & ! [X38 : vEBT_VEBT] : (pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X38),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X202))) => vEBT_invar_vebt(X38,X118)) & vEBT_Node(none(product_prod(nat,nat)),X201,X202,X203) = X200) | (aa(nat,nat,suc,zero_zero(nat)) = X201 & ? [X184 : bool,X185 : bool] : vEBT_Leaf(X184,X185) = X200)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1436_invar__vebt_Osimps)).
% 26.16/5.00 tff(f71867,plain,(
% 26.16/5.00 spl4009_957),
% 26.16/5.00 inference(avatar_split_clause,[],[f46685,f71865])).
% 26.16/5.00 tff(f71865,plain,(
% 26.16/5.00 spl4009_957 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_957])])).
% 26.16/5.00 tff(f46685,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32484])).
% 26.16/5.00 tff(f71863,plain,(
% 26.16/5.00 spl4009_956),
% 26.16/5.00 inference(avatar_split_clause,[],[f46598,f71861])).
% 26.16/5.00 tff(f71861,plain,(
% 26.16/5.00 spl4009_956 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP320(X1,X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_956])])).
% 26.16/5.00 tff(f46598,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP320(X1,X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32413])).
% 26.16/5.00 tff(f71859,plain,(
% 26.16/5.00 spl4009_955 | ~spl4009_65 | ~spl4009_763),
% 26.16/5.00 inference(avatar_split_clause,[],[f71123,f70786,f67351,f71856])).
% 26.16/5.00 tff(f71856,plain,(
% 26.16/5.00 spl4009_955 <=> sP27(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_955])])).
% 26.16/5.00 tff(f70786,plain,(
% 26.16/5.00 spl4009_763 <=> ! [X0 : $tType] : (sP27(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_763])])).
% 26.16/5.00 tff(f71123,plain,(
% 26.16/5.00 sP27(real) | (~spl4009_65 | ~spl4009_763)),
% 26.16/5.00 inference(resolution,[],[f70787,f67353])).
% 26.16/5.00 tff(f70787,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP27(X0)) ) | ~spl4009_763),
% 26.16/5.00 inference(avatar_component_clause,[],[f70786])).
% 26.16/5.00 tff(f71854,plain,(
% 26.16/5.00 spl4009_954),
% 26.16/5.00 inference(avatar_split_clause,[],[f46597,f71852])).
% 26.16/5.00 tff(f71852,plain,(
% 26.16/5.00 spl4009_954 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP319(X1,X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_954])])).
% 26.16/5.00 tff(f46597,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP319(X1,X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32413])).
% 26.16/5.00 tff(f71850,plain,(
% 26.16/5.00 spl4009_953),
% 26.16/5.00 inference(avatar_split_clause,[],[f46596,f71848])).
% 26.16/5.00 tff(f71848,plain,(
% 26.16/5.00 spl4009_953 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP318(X1,X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_953])])).
% 26.16/5.00 tff(f46596,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP318(X1,X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32413])).
% 26.16/5.00 tff(f71846,plain,(
% 26.16/5.00 spl4009_952),
% 26.16/5.00 inference(avatar_split_clause,[],[f46595,f71844])).
% 26.16/5.00 tff(f71844,plain,(
% 26.16/5.00 spl4009_952 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP317(X1,X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_952])])).
% 26.16/5.00 tff(f46595,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (sP321(X0,X1) | ~sP317(X1,X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32413])).
% 26.16/5.00 tff(f71842,plain,(
% 26.16/5.00 spl4009_951),
% 26.16/5.00 inference(avatar_split_clause,[],[f46591,f71840])).
% 26.16/5.00 tff(f71840,plain,(
% 26.16/5.00 spl4009_951 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) | ~sP308(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_951])])).
% 26.16/5.00 tff(f46591,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) | ~sP308(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32408])).
% 26.16/5.00 tff(f32408,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : ((wf(X0,X1) | ~sP308(X0,X1)) & (sP308(X0,X1) | ~wf(X0,X1)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27857])).
% 26.16/5.00 tff(f27857,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> sP308(X0,X1))),
% 26.16/5.00 inference(definition_folding,[],[f24607,f27856])).
% 26.16/5.00 tff(f27856,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP308(X0,X1) <=> ! [X2 : set(X0)] : (? [X4 : X0] : (! [X5 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X2)) | ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X4)),X1))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | ! [X3 : X0] : ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X2))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP308])])).
% 26.16/5.00 tff(f24607,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> ! [X2 : set(X0)] : (? [X4 : X0] : (! [X5 : X0] : (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X2)) | ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X4)),X1))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) | ! [X3 : X0] : ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X2))))),
% 26.16/5.00 inference(ennf_transformation,[],[f15278])).
% 26.16/5.00 tff(f15278,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> ! [X2 : set(X0)] : (? [X3 : X0] : pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X2)) => ? [X4 : X0] : (! [X5 : X0] : (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X4)),X1)) => ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)))))),
% 26.16/5.00 inference(rectify,[],[f6643])).
% 26.16/5.00 tff(f6643,axiom,(
% 26.16/5.00 ! [X0 : $tType,X110 : set(product_prod(X0,X0))] : (wf(X0,X110) <=> ! [X371 : set(X0)] : (? [X38 : X0] : pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X371)) => ? [X38 : X0] : (! [X85 : X0] : (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X85),X38)),X110)) => ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X85),X371))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X371)))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6642_wf__eq__minimal)).
% 26.16/5.00 tff(f71838,plain,(
% 26.16/5.00 spl4009_950),
% 26.16/5.00 inference(avatar_split_clause,[],[f46590,f71836])).
% 26.16/5.00 tff(f71836,plain,(
% 26.16/5.00 spl4009_950 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP308(X0,X1) | ~wf(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_950])])).
% 26.16/5.00 tff(f46590,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP308(X0,X1) | ~wf(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32408])).
% 26.16/5.00 tff(f71834,plain,(
% 26.16/5.00 spl4009_949),
% 26.16/5.00 inference(avatar_split_clause,[],[f46584,f71832])).
% 26.16/5.00 tff(f71832,plain,(
% 26.16/5.00 spl4009_949 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) | ~sP307(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_949])])).
% 26.16/5.00 tff(f46584,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) | ~sP307(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32400])).
% 26.16/5.00 tff(f32400,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : ((wf(X0,X1) | ~sP307(X0,X1)) & (sP307(X0,X1) | ~wf(X0,X1)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27855])).
% 26.16/5.00 tff(f27855,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> sP307(X0,X1))),
% 26.16/5.00 inference(definition_folding,[],[f24606,f27854])).
% 26.16/5.00 tff(f27854,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP307(X0,X1) <=> ! [X2 : fun(X0,bool)] : (! [X5 : X0] : pp(aa(X0,bool,X2,X5)) | ? [X3 : X0] : (~pp(aa(X0,bool,X2,X3)) & ! [X4 : X0] : (pp(aa(X0,bool,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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X1))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP307])])).
% 26.16/5.00 tff(f24606,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> ! [X2 : fun(X0,bool)] : (! [X5 : X0] : pp(aa(X0,bool,X2,X5)) | ? [X3 : X0] : (~pp(aa(X0,bool,X2,X3)) & ! [X4 : X0] : (pp(aa(X0,bool,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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X1))))))),
% 26.16/5.00 inference(ennf_transformation,[],[f15277])).
% 26.16/5.00 tff(f15277,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> ! [X2 : fun(X0,bool)] : (! [X3 : X0] : (! [X4 : X0] : (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X1)) => pp(aa(X0,bool,X2,X4))) => pp(aa(X0,bool,X2,X3))) => ! [X5 : X0] : pp(aa(X0,bool,X2,X5))))),
% 26.16/5.00 inference(rectify,[],[f6652])).
% 26.16/5.00 tff(f6652,axiom,(
% 26.16/5.00 ! [X0 : $tType,X110 : set(product_prod(X0,X0))] : (wf(X0,X110) <=> ! [X369 : fun(X0,bool)] : (! [X38 : X0] : (! [X85 : X0] : (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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X85),X38)),X110)) => pp(aa(X0,bool,X369,X85))) => pp(aa(X0,bool,X369,X38))) => ! [X92 : X0] : pp(aa(X0,bool,X369,X92))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6651_wf__def)).
% 26.16/5.00 tff(f71830,plain,(
% 26.16/5.00 spl4009_948),
% 26.16/5.00 inference(avatar_split_clause,[],[f46583,f71828])).
% 26.16/5.00 tff(f71828,plain,(
% 26.16/5.00 spl4009_948 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP307(X0,X1) | ~wf(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_948])])).
% 26.16/5.00 tff(f46583,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP307(X0,X1) | ~wf(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32400])).
% 26.16/5.00 tff(f71826,plain,(
% 26.16/5.00 spl4009_947),
% 26.16/5.00 inference(avatar_split_clause,[],[f46577,f71824])).
% 26.16/5.00 tff(f71824,plain,(
% 26.16/5.00 spl4009_947 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) | ~sP306(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_947])])).
% 26.16/5.00 tff(f46577,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) | ~sP306(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32392])).
% 26.16/5.00 tff(f32392,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : ((wf(X0,X1) | ~sP306(X0,X1)) & (sP306(X0,X1) | ~wf(X0,X1)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27853])).
% 26.16/5.00 tff(f27853,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> sP306(X0,X1))),
% 26.16/5.00 inference(definition_folding,[],[f24605,f27852])).
% 26.16/5.00 tff(f27852,plain,(
% 26.16/5.00 ! [X1 : set(product_prod(X0,X0)),X0 : $tType] : (sP306(X0,X1) <=> ! [X2 : set(X0)] : (? [X3 : X0] : (! [X4 : X0] : (~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X2))) | bot_bot(set(X0)) = X2 | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),aa(set(product_prod(X0,X0)),set(X0),field2(X0),X1)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP306])])).
% 26.16/5.00 tff(f24605,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> ! [X2 : set(X0)] : (? [X3 : X0] : (! [X4 : X0] : (~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X2))) | bot_bot(set(X0)) = X2 | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),aa(set(product_prod(X0,X0)),set(X0),field2(X0),X1)))))),
% 26.16/5.00 inference(flattening,[],[f24604])).
% 26.16/5.00 tff(f24604,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> ! [X2 : set(X0)] : (? [X3 : X0] : (! [X4 : X0] : (~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X1)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X2))) | (bot_bot(set(X0)) = X2 | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),aa(set(product_prod(X0,X0)),set(X0),field2(X0),X1))))))),
% 26.16/5.00 inference(ennf_transformation,[],[f15276])).
% 26.16/5.00 tff(f15276,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (wf(X0,X1) <=> ! [X2 : set(X0)] : ((bot_bot(set(X0)) != X2 & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),aa(set(product_prod(X0,X0)),set(X0),field2(X0),X1)))) => ? [X3 : X0] : (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X2)) => ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X4),X3)),X1))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X2)))))),
% 26.16/5.00 inference(rectify,[],[f6662])).
% 26.16/5.00 tff(f6662,axiom,(
% 26.16/5.00 ! [X0 : $tType,X110 : set(product_prod(X0,X0))] : (wf(X0,X110) <=> ! [X219 : set(X0)] : ((bot_bot(set(X0)) != X219 & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X219),aa(set(product_prod(X0,X0)),set(X0),field2(X0),X110)))) => ? [X38 : X0] : (! [X142 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X142),X219)) => ~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),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X142),X38)),X110))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X219)))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6661_wf__eq__minimal2)).
% 26.16/5.00 tff(f71822,plain,(
% 26.16/5.00 spl4009_946),
% 26.16/5.00 inference(avatar_split_clause,[],[f46576,f71820])).
% 26.16/5.00 tff(f71820,plain,(
% 26.16/5.00 spl4009_946 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP306(X0,X1) | ~wf(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_946])])).
% 26.16/5.00 tff(f46576,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (sP306(X0,X1) | ~wf(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32392])).
% 26.16/5.00 tff(f71818,plain,(
% 26.16/5.00 spl4009_945),
% 26.16/5.00 inference(avatar_split_clause,[],[f45484,f71816])).
% 26.16/5.00 tff(f71816,plain,(
% 26.16/5.00 spl4009_945 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_945])])).
% 26.16/5.00 tff(f45484,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23768])).
% 26.16/5.00 tff(f23768,plain,(
% 26.16/5.00 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) | ~vEBT_invar_vebt(X0,X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14729])).
% 26.16/5.00 tff(f14729,plain,(
% 26.16/5.00 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) => vEBT_VEBT_valid(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f243])).
% 26.16/5.00 tff(f243,axiom,(
% 26.16/5.00 ! [X36 : vEBT_VEBT,X67 : nat] : (vEBT_invar_vebt(X36,X67) => vEBT_VEBT_valid(X36,X67))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_valid__eq1)).
% 26.16/5.00 tff(f71814,plain,(
% 26.16/5.00 spl4009_944 | ~spl4009_64 | ~spl4009_763),
% 26.16/5.00 inference(avatar_split_clause,[],[f71122,f70786,f67346,f71811])).
% 26.16/5.00 tff(f71811,plain,(
% 26.16/5.00 spl4009_944 <=> sP27(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_944])])).
% 26.16/5.00 tff(f71122,plain,(
% 26.16/5.00 sP27(complex) | (~spl4009_64 | ~spl4009_763)),
% 26.16/5.00 inference(resolution,[],[f70787,f67348])).
% 26.16/5.00 tff(f71809,plain,(
% 26.16/5.00 spl4009_943),
% 26.16/5.00 inference(avatar_split_clause,[],[f45434,f71807])).
% 26.16/5.00 tff(f71807,plain,(
% 26.16/5.00 spl4009_943 <=> ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_943])])).
% 26.16/5.00 tff(f45434,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23749])).
% 26.16/5.00 tff(f23749,plain,(
% 26.16/5.00 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_invar_vebt(X0,X1) | ~vEBT_VEBT_valid(X0,X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14716])).
% 26.16/5.00 tff(f14716,plain,(
% 26.16/5.00 ! [X0 : vEBT_VEBT,X1 : nat] : (vEBT_VEBT_valid(X0,X1) => vEBT_invar_vebt(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f242])).
% 26.16/5.00 tff(f242,axiom,(
% 26.16/5.00 ! [X36 : vEBT_VEBT,X67 : nat] : (vEBT_VEBT_valid(X36,X67) => vEBT_invar_vebt(X36,X67))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_valid__eq2)).
% 26.16/5.00 tff(f71805,plain,(
% 26.16/5.00 spl4009_942),
% 26.16/5.00 inference(avatar_split_clause,[],[f45328,f71803])).
% 26.16/5.00 tff(f71803,plain,(
% 26.16/5.00 spl4009_942 <=> ! [X1 : $tType,X0 : $tType] : (order(fun(X0,X1)) | ~order(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_942])])).
% 26.16/5.00 tff(f45328,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (order(fun(X0,X1)) | ~order(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23707])).
% 26.16/5.00 tff(f23707,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (order(fun(X0,X1)) | ~order(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14693])).
% 26.16/5.00 tff(f14693,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (order(X1) => order(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9150])).
% 26.16/5.00 tff(f9150,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (order(X518) => order(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder)).
% 26.16/5.00 tff(f71801,plain,(
% 26.16/5.00 spl4009_941),
% 26.16/5.00 inference(avatar_split_clause,[],[f45319,f71799])).
% 26.16/5.00 tff(f71799,plain,(
% 26.16/5.00 spl4009_941 <=> ! [X1 : $tType,X0 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_941])])).
% 26.16/5.00 tff(f45319,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23702])).
% 26.16/5.00 tff(f23702,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (preorder(fun(X0,X1)) | ~preorder(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14688])).
% 26.16/5.00 tff(f14688,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (preorder(X1) => preorder(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9147])).
% 26.16/5.00 tff(f9147,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (preorder(X518) => preorder(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Opreorder)).
% 26.16/5.00 tff(f71797,plain,(
% 26.16/5.00 spl4009_940),
% 26.16/5.00 inference(avatar_split_clause,[],[f45307,f71795])).
% 26.16/5.00 tff(f71795,plain,(
% 26.16/5.00 spl4009_940 <=> ! [X1 : $tType,X0 : $tType] : (ord(fun(X0,X1)) | ~ord(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_940])])).
% 26.16/5.00 tff(f45307,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (ord(fun(X0,X1)) | ~ord(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23695])).
% 26.16/5.00 tff(f23695,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (ord(fun(X0,X1)) | ~ord(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14681])).
% 26.16/5.00 tff(f14681,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (ord(X1) => ord(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9152])).
% 26.16/5.00 tff(f9152,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (ord(X518) => ord(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oord)).
% 26.16/5.00 tff(f71793,plain,(
% 26.16/5.00 spl4009_939),
% 26.16/5.00 inference(avatar_split_clause,[],[f45212,f71791])).
% 26.16/5.00 tff(f71791,plain,(
% 26.16/5.00 spl4009_939 <=> ! [X1 : $tType,X0 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_939])])).
% 26.16/5.00 tff(f45212,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23634])).
% 26.16/5.00 tff(f23634,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (semilattice_sup(fun(X0,X1)) | ~semilattice_sup(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14631])).
% 26.16/5.00 tff(f14631,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (semilattice_sup(X1) => semilattice_sup(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9141])).
% 26.16/5.00 tff(f9141,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (semilattice_sup(X518) => semilattice_sup(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Osemilattice__sup)).
% 26.16/5.00 tff(f71789,plain,(
% 26.16/5.00 spl4009_938),
% 26.16/5.00 inference(avatar_split_clause,[],[f45211,f71787])).
% 26.16/5.00 tff(f71787,plain,(
% 26.16/5.00 spl4009_938 <=> ! [X1 : $tType,X0 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_938])])).
% 26.16/5.00 tff(f45211,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23633])).
% 26.16/5.00 tff(f23633,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (semilattice_inf(fun(X0,X1)) | ~semilattice_inf(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14630])).
% 26.16/5.00 tff(f14630,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (semilattice_inf(X1) => semilattice_inf(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9142])).
% 26.16/5.00 tff(f9142,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (semilattice_inf(X518) => semilattice_inf(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Osemilattice__inf)).
% 26.16/5.00 tff(f71785,plain,(
% 26.16/5.00 spl4009_937),
% 26.16/5.00 inference(avatar_split_clause,[],[f45210,f71783])).
% 26.16/5.00 tff(f71783,plain,(
% 26.16/5.00 spl4009_937 <=> ! [X1 : $tType,X0 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_937])])).
% 26.16/5.00 tff(f45210,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23632])).
% 26.16/5.00 tff(f23632,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (lattice(fun(X0,X1)) | ~lattice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14629])).
% 26.16/5.00 tff(f14629,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (lattice(X1) => lattice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9149])).
% 26.16/5.00 tff(f9149,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (lattice(X518) => lattice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Olattice)).
% 26.16/5.00 tff(f71781,plain,(
% 26.16/5.00 spl4009_936),
% 26.16/5.00 inference(avatar_split_clause,[],[f45209,f71779])).
% 26.16/5.00 tff(f71779,plain,(
% 26.16/5.00 spl4009_936 <=> ! [X1 : $tType,X0 : $tType] : (distrib_lattice(fun(X0,X1)) | ~distrib_lattice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_936])])).
% 26.16/5.00 tff(f45209,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (distrib_lattice(fun(X0,X1)) | ~distrib_lattice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23631])).
% 26.16/5.00 tff(f23631,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (distrib_lattice(fun(X0,X1)) | ~distrib_lattice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14628])).
% 26.16/5.00 tff(f14628,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (distrib_lattice(X1) => distrib_lattice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9143])).
% 26.16/5.00 tff(f9143,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (distrib_lattice(X518) => distrib_lattice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Odistrib__lattice)).
% 26.16/5.00 tff(f71777,plain,(
% 26.16/5.00 spl4009_935),
% 26.16/5.00 inference(avatar_split_clause,[],[f45179,f71775])).
% 26.16/5.00 tff(f71775,plain,(
% 26.16/5.00 spl4009_935 <=> ! [X1 : $tType,X0 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_935])])).
% 26.16/5.00 tff(f45179,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23593])).
% 26.16/5.00 tff(f23593,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (uminus(fun(X0,X1)) | ~uminus(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14606])).
% 26.16/5.00 tff(f14606,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (uminus(X1) => uminus(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9154])).
% 26.16/5.00 tff(f9154,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (uminus(X518) => uminus(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Groups_Ouminus)).
% 26.16/5.00 tff(f71773,plain,(
% 26.16/5.00 spl4009_934),
% 26.16/5.00 inference(avatar_split_clause,[],[f45010,f71771])).
% 26.16/5.00 tff(f71771,plain,(
% 26.16/5.00 spl4009_934 <=> ! [X1 : $tType,X0 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_934])])).
% 26.16/5.00 tff(f45010,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23466])).
% 26.16/5.00 tff(f23466,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (order_bot(fun(X0,X1)) | ~order_bot(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14518])).
% 26.16/5.00 tff(f14518,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (order_bot(X1) => order_bot(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9146])).
% 26.16/5.00 tff(f9146,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (order_bot(X518) => order_bot(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder__bot)).
% 26.16/5.00 tff(f71769,plain,(
% 26.16/5.00 spl4009_933 | ~spl4009_65 | ~spl4009_762),
% 26.16/5.00 inference(avatar_split_clause,[],[f71121,f70782,f67351,f71766])).
% 26.16/5.00 tff(f71766,plain,(
% 26.16/5.00 spl4009_933 <=> sP25(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_933])])).
% 26.16/5.00 tff(f70782,plain,(
% 26.16/5.00 spl4009_762 <=> ! [X0 : $tType] : (sP25(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_762])])).
% 26.16/5.00 tff(f71121,plain,(
% 26.16/5.00 sP25(real) | (~spl4009_65 | ~spl4009_762)),
% 26.16/5.00 inference(resolution,[],[f70783,f67353])).
% 26.16/5.00 tff(f70783,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP25(X0)) ) | ~spl4009_762),
% 26.16/5.00 inference(avatar_component_clause,[],[f70782])).
% 26.16/5.00 tff(f71764,plain,(
% 26.16/5.00 spl4009_932),
% 26.16/5.00 inference(avatar_split_clause,[],[f45002,f71762])).
% 26.16/5.00 tff(f71762,plain,(
% 26.16/5.00 spl4009_932 <=> ! [X1 : $tType,X0 : $tType] : (bot(fun(X0,X1)) | ~bot(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_932])])).
% 26.16/5.00 tff(f45002,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (bot(fun(X0,X1)) | ~bot(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23458])).
% 26.16/5.00 tff(f23458,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bot(fun(X0,X1)) | ~bot(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14508])).
% 26.16/5.00 tff(f14508,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bot(X1) => bot(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9153])).
% 26.16/5.00 tff(f9153,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (bot(X518) => bot(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Obot)).
% 26.16/5.00 tff(f71760,plain,(
% 26.16/5.00 spl4009_931),
% 26.16/5.00 inference(avatar_split_clause,[],[f44932,f71758])).
% 26.16/5.00 tff(f71758,plain,(
% 26.16/5.00 spl4009_931 <=> ! [X1 : $tType,X0 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_931])])).
% 26.16/5.00 tff(f44932,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23408])).
% 26.16/5.00 tff(f23408,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (condit1219197933456340205attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14468])).
% 26.16/5.00 tff(f14468,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(X1) => condit1219197933456340205attice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9132])).
% 26.16/5.00 tff(f9132,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (comple6319245703460814977attice(X518) => condit1219197933456340205attice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Conditionally__Complete__Lattices_Oconditionally__complete__lattice)).
% 26.16/5.00 tff(f71756,plain,(
% 26.16/5.00 spl4009_930),
% 26.16/5.00 inference(avatar_split_clause,[],[f44931,f71754])).
% 26.16/5.00 tff(f71754,plain,(
% 26.16/5.00 spl4009_930 <=> ! [X1 : $tType,X0 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_930])])).
% 26.16/5.00 tff(f44931,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23407])).
% 26.16/5.00 tff(f23407,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14467])).
% 26.16/5.00 tff(f14467,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(X1) => comple6319245703460814977attice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9137])).
% 26.16/5.00 tff(f9137,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (comple6319245703460814977attice(X518) => comple6319245703460814977attice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Complete__Lattices_Ocomplete__lattice)).
% 26.16/5.00 tff(f71752,plain,(
% 26.16/5.00 spl4009_929),
% 26.16/5.00 inference(avatar_split_clause,[],[f44930,f71750])).
% 26.16/5.00 tff(f71750,plain,(
% 26.16/5.00 spl4009_929 <=> ! [X1 : $tType,X0 : $tType] : (comple9053668089753744459l_ccpo(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_929])])).
% 26.16/5.00 tff(f44930,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (comple9053668089753744459l_ccpo(fun(X0,X1)) | ~comple6319245703460814977attice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23406])).
% 26.16/5.00 tff(f23406,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple9053668089753744459l_ccpo(fun(X0,X1)) | ~comple6319245703460814977attice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14466])).
% 26.16/5.00 tff(f14466,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple6319245703460814977attice(X1) => comple9053668089753744459l_ccpo(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9140])).
% 26.16/5.00 tff(f9140,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (comple6319245703460814977attice(X518) => comple9053668089753744459l_ccpo(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Complete__Partial__Order_Occpo)).
% 26.16/5.00 tff(f71748,plain,(
% 26.16/5.00 spl4009_928),
% 26.16/5.00 inference(avatar_split_clause,[],[f44879,f71746])).
% 26.16/5.00 tff(f71746,plain,(
% 26.16/5.00 spl4009_928 <=> ! [X1 : $tType,X0 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_928])])).
% 26.16/5.00 tff(f44879,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23367])).
% 26.16/5.00 tff(f23367,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (counta3822494911875563373attice(fun(X0,X1)) | ~counta3822494911875563373attice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14439])).
% 26.16/5.00 tff(f14439,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (counta3822494911875563373attice(X1) => counta3822494911875563373attice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9133])).
% 26.16/5.00 tff(f9133,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (counta3822494911875563373attice(X518) => counta3822494911875563373attice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Countable__Complete__Lattices_Ocountable__complete__lattice)).
% 26.16/5.00 tff(f71744,plain,(
% 26.16/5.00 spl4009_927),
% 26.16/5.00 inference(avatar_split_clause,[],[f44853,f71742])).
% 26.16/5.00 tff(f71742,plain,(
% 26.16/5.00 spl4009_927 <=> ! [X1 : $tType,X0 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_927])])).
% 26.16/5.00 tff(f44853,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23349])).
% 26.16/5.00 tff(f23349,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (order_top(fun(X0,X1)) | ~order_top(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14427])).
% 26.16/5.00 tff(f14427,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (order_top(X1) => order_top(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9145])).
% 26.16/5.00 tff(f9145,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (order_top(X518) => order_top(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Oorder__top)).
% 26.16/5.00 tff(f71740,plain,(
% 26.16/5.00 spl4009_926),
% 26.16/5.00 inference(avatar_split_clause,[],[f44850,f71738])).
% 26.16/5.00 tff(f71738,plain,(
% 26.16/5.00 spl4009_926 <=> ! [X1 : $tType,X0 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_926])])).
% 26.16/5.00 tff(f44850,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23346])).
% 26.16/5.00 tff(f23346,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bounde4967611905675639751up_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14425])).
% 26.16/5.00 tff(f14425,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounde4967611905675639751up_bot(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9135])).
% 26.16/5.00 tff(f9135,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (bounded_lattice(X518) => bounde4967611905675639751up_bot(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__semilattice__sup__bot)).
% 26.16/5.00 tff(f71736,plain,(
% 26.16/5.00 spl4009_925),
% 26.16/5.00 inference(avatar_split_clause,[],[f44849,f71734])).
% 26.16/5.00 tff(f71734,plain,(
% 26.16/5.00 spl4009_925 <=> ! [X1 : $tType,X0 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_925])])).
% 26.16/5.00 tff(f44849,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23345])).
% 26.16/5.00 tff(f23345,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bounded_lattice(fun(X0,X1)) | ~bounded_lattice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14424])).
% 26.16/5.00 tff(f14424,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounded_lattice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9144])).
% 26.16/5.00 tff(f9144,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (bounded_lattice(X518) => bounded_lattice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__lattice)).
% 26.16/5.00 tff(f71732,plain,(
% 26.16/5.00 spl4009_924),
% 26.16/5.00 inference(avatar_split_clause,[],[f44848,f71730])).
% 26.16/5.00 tff(f71730,plain,(
% 26.16/5.00 spl4009_924 <=> ! [X1 : $tType,X0 : $tType] : (bounded_lattice_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_924])])).
% 26.16/5.00 tff(f44848,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (bounded_lattice_bot(fun(X0,X1)) | ~bounded_lattice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23344])).
% 26.16/5.00 tff(f23344,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bounded_lattice_bot(fun(X0,X1)) | ~bounded_lattice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14423])).
% 26.16/5.00 tff(f14423,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (bounded_lattice(X1) => bounded_lattice_bot(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9139])).
% 26.16/5.00 tff(f9139,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (bounded_lattice(X518) => bounded_lattice_bot(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Lattices_Obounded__lattice__bot)).
% 26.16/5.00 tff(f71728,plain,(
% 26.16/5.00 spl4009_923),
% 26.16/5.00 inference(avatar_split_clause,[],[f44841,f71726])).
% 26.16/5.00 tff(f71726,plain,(
% 26.16/5.00 spl4009_923 <=> ! [X1 : $tType,X0 : $tType] : (top(fun(X0,X1)) | ~top(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_923])])).
% 26.16/5.00 tff(f44841,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (top(fun(X0,X1)) | ~top(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23335])).
% 26.16/5.00 tff(f23335,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (top(fun(X0,X1)) | ~top(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14416])).
% 26.16/5.00 tff(f14416,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (top(X1) => top(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9151])).
% 26.16/5.00 tff(f9151,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (top(X518) => top(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Orderings_Otop)).
% 26.16/5.00 tff(f71724,plain,(
% 26.16/5.00 spl4009_922 | ~spl4009_64 | ~spl4009_762),
% 26.16/5.00 inference(avatar_split_clause,[],[f71120,f70782,f67346,f71721])).
% 26.16/5.00 tff(f71721,plain,(
% 26.16/5.00 spl4009_922 <=> sP25(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_922])])).
% 26.16/5.00 tff(f71120,plain,(
% 26.16/5.00 sP25(complex) | (~spl4009_64 | ~spl4009_762)),
% 26.16/5.00 inference(resolution,[],[f70783,f67348])).
% 26.16/5.00 tff(f71719,plain,(
% 26.16/5.00 spl4009_921),
% 26.16/5.00 inference(avatar_split_clause,[],[f44809,f71717])).
% 26.16/5.00 tff(f71717,plain,(
% 26.16/5.00 spl4009_921 <=> ! [X1 : $tType,X0 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_921])])).
% 26.16/5.00 tff(f44809,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23309])).
% 26.16/5.00 tff(f23309,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple592849572758109894attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14400])).
% 26.16/5.00 tff(f14400,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple592849572758109894attice(X1) => comple592849572758109894attice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9134])).
% 26.16/5.00 tff(f9134,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (comple592849572758109894attice(X518) => comple592849572758109894attice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Complete__Lattices_Ocomplete__distrib__lattice)).
% 26.16/5.00 tff(f71715,plain,(
% 26.16/5.00 spl4009_920),
% 26.16/5.00 inference(avatar_split_clause,[],[f44808,f71713])).
% 26.16/5.00 tff(f71713,plain,(
% 26.16/5.00 spl4009_920 <=> ! [X1 : $tType,X0 : $tType] : (counta4013691401010221786attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_920])])).
% 26.16/5.00 tff(f44808,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (counta4013691401010221786attice(fun(X0,X1)) | ~comple592849572758109894attice(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23308])).
% 26.16/5.00 tff(f23308,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (counta4013691401010221786attice(fun(X0,X1)) | ~comple592849572758109894attice(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14399])).
% 26.16/5.00 tff(f14399,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (comple592849572758109894attice(X1) => counta4013691401010221786attice(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9131])).
% 26.16/5.00 tff(f9131,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (comple592849572758109894attice(X518) => counta4013691401010221786attice(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Countable__Complete__Lattices_Ocountable__complete__distrib__lattice)).
% 26.16/5.00 tff(f71711,plain,(
% 26.16/5.00 spl4009_919),
% 26.16/5.00 inference(avatar_split_clause,[],[f44782,f71709])).
% 26.16/5.00 tff(f71709,plain,(
% 26.16/5.00 spl4009_919 <=> ! [X1 : $tType,X0 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_919])])).
% 26.16/5.00 tff(f44782,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f23286])).
% 26.16/5.00 tff(f23286,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (boolea8198339166811842893lgebra(fun(X0,X1)) | ~boolea8198339166811842893lgebra(X1))),
% 26.16/5.00 inference(ennf_transformation,[],[f14384])).
% 26.16/5.00 tff(f14384,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (boolea8198339166811842893lgebra(X1) => boolea8198339166811842893lgebra(fun(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9138])).
% 26.16/5.00 tff(f9138,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : (boolea8198339166811842893lgebra(X518) => boolea8198339166811842893lgebra(fun(X341,X518)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_fun___Boolean__Algebras_Oboolean__algebra)).
% 26.16/5.00 tff(f71707,plain,(
% 26.16/5.00 spl4009_918),
% 26.16/5.00 inference(avatar_split_clause,[],[f44677,f71705])).
% 26.16/5.00 tff(f71705,plain,(
% 26.16/5.00 spl4009_918 <=> ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(fconj(X0,X1)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_918])])).
% 26.16/5.00 tff(f44677,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(fconj(X0,X1))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f14325])).
% 26.16/5.00 tff(f14325,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : bool] : (pp(X1) | ~pp(fconj(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9921])).
% 26.16/5.00 tff(f9921,axiom,(
% 26.16/5.00 ! [X45 : bool,X55 : bool] : (pp(X55) | ~pp(fconj(X45,X55)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_3_1_U)).
% 26.16/5.00 tff(f71703,plain,(
% 26.16/5.00 spl4009_917),
% 26.16/5.00 inference(avatar_split_clause,[],[f44676,f71701])).
% 26.16/5.00 tff(f71701,plain,(
% 26.16/5.00 spl4009_917 <=> ! [X0 : bool,X1 : bool] : (pp(X0) | ~pp(fconj(X0,X1)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_917])])).
% 26.16/5.00 tff(f44676,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : bool] : (pp(X0) | ~pp(fconj(X0,X1))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f14324])).
% 26.16/5.00 tff(f14324,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : bool] : (pp(X0) | ~pp(fconj(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f9922])).
% 26.16/5.00 tff(f9922,axiom,(
% 26.16/5.00 ! [X45 : bool,X55 : bool] : (pp(X45) | ~pp(fconj(X45,X55)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_2_1_U)).
% 26.16/5.00 tff(f71699,plain,(
% 26.16/5.00 spl4009_916),
% 26.16/5.00 inference(avatar_split_clause,[],[f44672,f71697])).
% 26.16/5.00 tff(f71697,plain,(
% 26.16/5.00 spl4009_916 <=> ! [X0 : bool,X1 : bool] : (pp(fdisj(X1,X0)) | ~pp(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_916])])).
% 26.16/5.00 tff(f44672,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : bool] : (pp(fdisj(X1,X0)) | ~pp(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f14320])).
% 26.16/5.00 tff(f14320,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : bool] : (pp(fdisj(X1,X0)) | ~pp(X0))),
% 26.16/5.00 inference(rectify,[],[f9925])).
% 26.16/5.00 tff(f9925,axiom,(
% 26.16/5.00 ! [X55 : bool,X45 : bool] : (pp(fdisj(X45,X55)) | ~pp(X55))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_2_1_U)).
% 26.16/5.00 tff(f71695,plain,(
% 26.16/5.00 spl4009_915),
% 26.16/5.00 inference(avatar_split_clause,[],[f44671,f71693])).
% 26.16/5.00 tff(f71693,plain,(
% 26.16/5.00 spl4009_915 <=> ! [X0 : bool,X1 : bool] : (pp(fdisj(X0,X1)) | ~pp(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_915])])).
% 26.16/5.00 tff(f44671,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : bool] : (pp(fdisj(X0,X1)) | ~pp(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f14319])).
% 26.16/5.00 tff(f14319,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : bool] : (pp(fdisj(X0,X1)) | ~pp(X0))),
% 26.16/5.00 inference(rectify,[],[f9926])).
% 26.16/5.00 tff(f9926,axiom,(
% 26.16/5.00 ! [X45 : bool,X55 : bool] : (pp(fdisj(X45,X55)) | ~pp(X45))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_1_1_U)).
% 26.16/5.00 tff(f71691,plain,(
% 26.16/5.00 spl4009_914),
% 26.16/5.00 inference(avatar_split_clause,[],[f44014,f71689])).
% 26.16/5.00 tff(f71689,plain,(
% 26.16/5.00 spl4009_914 <=> ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : pairwise(X0,X1,bot_bot(set(X0)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_914])])).
% 26.16/5.00 tff(f44014,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (pairwise(X0,X1,bot_bot(set(X0)))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f13725])).
% 26.16/5.00 tff(f13725,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : pairwise(X0,X1,bot_bot(set(X0)))),
% 26.16/5.00 inference(rectify,[],[f7186])).
% 26.16/5.00 tff(f7186,axiom,(
% 26.16/5.00 ! [X0 : $tType,X45 : fun(X0,fun(X0,bool))] : pairwise(X0,X45,bot_bot(set(X0)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7185_pairwise__empty)).
% 26.16/5.00 tff(f71687,plain,(
% 26.16/5.00 spl4009_913),
% 26.16/5.00 inference(avatar_split_clause,[],[f44013,f71685])).
% 26.16/5.00 tff(f71685,plain,(
% 26.16/5.00 spl4009_913 <=> ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : comple1602240252501008431_chain(X0,X1,bot_bot(set(X0)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_913])])).
% 26.16/5.00 tff(f44013,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : (comple1602240252501008431_chain(X0,X1,bot_bot(set(X0)))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f13724])).
% 26.16/5.00 tff(f13724,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : fun(X0,fun(X0,bool))] : comple1602240252501008431_chain(X0,X1,bot_bot(set(X0)))),
% 26.16/5.00 inference(rectify,[],[f6490])).
% 26.16/5.00 tff(f6490,axiom,(
% 26.16/5.00 ! [X0 : $tType,X427 : fun(X0,fun(X0,bool))] : comple1602240252501008431_chain(X0,X427,bot_bot(set(X0)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6489_chain__empty)).
% 26.16/5.00 tff(f71683,plain,(
% 26.16/5.00 spl4009_912),
% 26.16/5.00 inference(avatar_split_clause,[],[f44012,f71681])).
% 26.16/5.00 tff(f71681,plain,(
% 26.16/5.00 spl4009_912 <=> ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : total_on(X0,bot_bot(set(X0)),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_912])])).
% 26.16/5.00 tff(f44012,plain,(
% 26.16/5.00 ( ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : (total_on(X0,bot_bot(set(X0)),X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f13723])).
% 26.16/5.00 tff(f13723,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(product_prod(X0,X0))] : total_on(X0,bot_bot(set(X0)),X1)),
% 26.16/5.00 inference(rectify,[],[f6343])).
% 26.16/5.00 tff(f6343,axiom,(
% 26.16/5.00 ! [X0 : $tType,X110 : set(product_prod(X0,X0))] : total_on(X0,bot_bot(set(X0)),X110)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6342_total__on__empty)).
% 26.16/5.00 tff(f71679,plain,(
% 26.16/5.00 spl4009_911 | ~spl4009_65 | ~spl4009_761),
% 26.16/5.00 inference(avatar_split_clause,[],[f71119,f70778,f67351,f71676])).
% 26.16/5.00 tff(f71676,plain,(
% 26.16/5.00 spl4009_911 <=> sP23(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_911])])).
% 26.16/5.00 tff(f70778,plain,(
% 26.16/5.00 spl4009_761 <=> ! [X0 : $tType] : (sP23(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_761])])).
% 26.16/5.00 tff(f71119,plain,(
% 26.16/5.00 sP23(real) | (~spl4009_65 | ~spl4009_761)),
% 26.16/5.00 inference(resolution,[],[f70779,f67353])).
% 26.16/5.00 tff(f70779,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP23(X0)) ) | ~spl4009_761),
% 26.16/5.00 inference(avatar_component_clause,[],[f70778])).
% 26.16/5.00 tff(f71674,plain,(
% 26.16/5.00 spl4009_910),
% 26.16/5.00 inference(avatar_split_clause,[],[f42976,f71672])).
% 26.16/5.00 tff(f71672,plain,(
% 26.16/5.00 spl4009_910 <=> ! [X0 : $tType] : (transp(X0,ord_less_eq(X0)) | ~preorder(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_910])])).
% 26.16/5.00 tff(f42976,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (transp(X0,ord_less_eq(X0)) | ~preorder(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f22156])).
% 26.16/5.00 tff(f22156,plain,(
% 26.16/5.00 ! [X0 : $tType] : (transp(X0,ord_less_eq(X0)) | ~preorder(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f7502])).
% 26.16/5.00 tff(f7502,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (preorder(X0) => transp(X0,ord_less_eq(X0)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7501_transp__le)).
% 26.16/5.00 tff(f71670,plain,(
% 26.16/5.00 spl4009_909),
% 26.16/5.00 inference(avatar_split_clause,[],[f42975,f71668])).
% 26.16/5.00 tff(f71668,plain,(
% 26.16/5.00 spl4009_909 <=> ! [X0 : $tType] : (transp(X0,ord_less(X0)) | ~preorder(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_909])])).
% 26.16/5.00 tff(f42975,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (transp(X0,ord_less(X0)) | ~preorder(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f22155])).
% 26.16/5.00 tff(f22155,plain,(
% 26.16/5.00 ! [X0 : $tType] : (transp(X0,ord_less(X0)) | ~preorder(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f7499])).
% 26.16/5.00 tff(f7499,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (preorder(X0) => transp(X0,ord_less(X0)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7498_transp__less)).
% 26.16/5.00 tff(f71666,plain,(
% 26.16/5.00 spl4009_908),
% 26.16/5.00 inference(avatar_split_clause,[],[f42974,f71664])).
% 26.16/5.00 tff(f71664,plain,(
% 26.16/5.00 spl4009_908 <=> ! [X0 : $tType] : (irreflp(X0,ord_less(X0)) | ~preorder(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_908])])).
% 26.16/5.00 tff(f42974,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (irreflp(X0,ord_less(X0)) | ~preorder(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f22154])).
% 26.16/5.00 tff(f22154,plain,(
% 26.16/5.00 ! [X0 : $tType] : (irreflp(X0,ord_less(X0)) | ~preorder(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f7155])).
% 26.16/5.00 tff(f7155,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (preorder(X0) => irreflp(X0,ord_less(X0)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7154_irreflp__less)).
% 26.16/5.00 tff(f71662,plain,(
% 26.16/5.00 spl4009_907),
% 26.16/5.00 inference(avatar_split_clause,[],[f38332,f71660])).
% 26.16/5.00 tff(f71660,plain,(
% 26.16/5.00 spl4009_907 <=> ! [X0 : bool] : (fFalse = X0 | fTrue = X0)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_907])])).
% 26.16/5.00 tff(f38332,plain,(
% 26.16/5.00 ( ! [X0 : bool] : (fFalse = X0 | fTrue = X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f10398])).
% 26.16/5.00 tff(f10398,plain,(
% 26.16/5.00 ! [X0 : bool] : (fFalse = X0 | fTrue = X0)),
% 26.16/5.00 inference(rectify,[],[f9927])).
% 26.16/5.00 tff(f9927,axiom,(
% 26.16/5.00 ! [X45 : bool] : (fFalse = X45 | fTrue = X45)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T)).
% 26.16/5.00 tff(f71658,plain,(
% 26.16/5.00 spl4009_906),
% 26.16/5.00 inference(avatar_split_clause,[],[f37849,f71656])).
% 26.16/5.00 tff(f71656,plain,(
% 26.16/5.00 spl4009_906 <=> ! [X0 : set(list(nat))] : inj_on(list(nat),nat,nat_list_encode,X0)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_906])])).
% 26.16/5.00 tff(f37849,plain,(
% 26.16/5.00 ( ! [X0 : set(list(nat))] : (inj_on(list(nat),nat,nat_list_encode,X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9993])).
% 26.16/5.00 tff(f9993,plain,(
% 26.16/5.00 ! [X0 : set(list(nat))] : inj_on(list(nat),nat,nat_list_encode,X0)),
% 26.16/5.00 inference(rectify,[],[f6507])).
% 26.16/5.00 tff(f6507,axiom,(
% 26.16/5.00 ! [X54 : set(list(nat))] : inj_on(list(nat),nat,nat_list_encode,X54)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6506_inj__list__encode)).
% 26.16/5.00 tff(f71654,plain,(
% 26.16/5.00 spl4009_905),
% 26.16/5.00 inference(avatar_split_clause,[],[f37848,f71652])).
% 26.16/5.00 tff(f71652,plain,(
% 26.16/5.00 spl4009_905 <=> ! [X0 : set(nat)] : inj_on(nat,list(nat),nat_list_decode,X0)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_905])])).
% 26.16/5.00 tff(f37848,plain,(
% 26.16/5.00 ( ! [X0 : set(nat)] : (inj_on(nat,list(nat),nat_list_decode,X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9992])).
% 26.16/5.00 tff(f9992,plain,(
% 26.16/5.00 ! [X0 : set(nat)] : inj_on(nat,list(nat),nat_list_decode,X0)),
% 26.16/5.00 inference(rectify,[],[f7596])).
% 26.16/5.00 tff(f7596,axiom,(
% 26.16/5.00 ! [X54 : set(nat)] : inj_on(nat,list(nat),nat_list_decode,X54)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7595_inj__list__decode)).
% 26.16/5.00 tff(f71650,plain,(
% 26.16/5.00 spl4009_904),
% 26.16/5.00 inference(avatar_split_clause,[],[f37576,f71647])).
% 26.16/5.00 tff(f71647,plain,(
% 26.16/5.00 spl4009_904 <=> numeral_numeral(int) = code_Target_positive),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_904])])).
% 26.16/5.00 tff(f37576,plain,(
% 26.16/5.00 numeral_numeral(int) = code_Target_positive),
% 26.16/5.00 inference(cnf_transformation,[],[f3809])).
% 26.16/5.00 tff(f3809,axiom,(
% 26.16/5.00 numeral_numeral(int) = code_Target_positive),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3808_Code__Target__Int_Opositive__def)).
% 26.16/5.00 tff(f71645,plain,(
% 26.16/5.00 spl4009_903),
% 26.16/5.00 inference(avatar_split_clause,[],[f37574,f71642])).
% 26.16/5.00 tff(f71642,plain,(
% 26.16/5.00 spl4009_903 <=> numeral_numeral(code_integer) = code_positive),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_903])])).
% 26.16/5.00 tff(f71640,plain,(
% 26.16/5.00 spl4009_902 | ~spl4009_64 | ~spl4009_761),
% 26.16/5.00 inference(avatar_split_clause,[],[f71118,f70778,f67346,f71637])).
% 26.16/5.00 tff(f71637,plain,(
% 26.16/5.00 spl4009_902 <=> sP23(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_902])])).
% 26.16/5.00 tff(f71118,plain,(
% 26.16/5.00 sP23(complex) | (~spl4009_64 | ~spl4009_761)),
% 26.16/5.00 inference(resolution,[],[f70779,f67348])).
% 26.16/5.00 tff(f71635,plain,(
% 26.16/5.00 spl4009_901 | ~spl4009_65 | ~spl4009_760),
% 26.16/5.00 inference(avatar_split_clause,[],[f71117,f70774,f67351,f71632])).
% 26.16/5.00 tff(f71632,plain,(
% 26.16/5.00 spl4009_901 <=> sP21(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_901])])).
% 26.16/5.00 tff(f70774,plain,(
% 26.16/5.00 spl4009_760 <=> ! [X0 : $tType] : (sP21(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_760])])).
% 26.16/5.00 tff(f71117,plain,(
% 26.16/5.00 sP21(real) | (~spl4009_65 | ~spl4009_760)),
% 26.16/5.00 inference(resolution,[],[f70775,f67353])).
% 26.16/5.00 tff(f70775,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V4867850818363320053vector(X0) | sP21(X0)) ) | ~spl4009_760),
% 26.16/5.00 inference(avatar_component_clause,[],[f70774])).
% 26.16/5.00 tff(f71629,plain,(
% 26.16/5.00 spl4009_900 | ~spl4009_64 | ~spl4009_760),
% 26.16/5.00 inference(avatar_split_clause,[],[f71116,f70774,f67346,f71626])).
% 26.16/5.00 tff(f71626,plain,(
% 26.16/5.00 spl4009_900 <=> sP21(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_900])])).
% 26.16/5.00 tff(f71116,plain,(
% 26.16/5.00 sP21(complex) | (~spl4009_64 | ~spl4009_760)),
% 26.16/5.00 inference(resolution,[],[f70775,f67348])).
% 26.16/5.00 tff(f71624,plain,(
% 26.16/5.00 spl4009_899 | ~spl4009_57 | ~spl4009_759),
% 26.16/5.00 inference(avatar_split_clause,[],[f71115,f70770,f67311,f71621])).
% 26.16/5.00 tff(f71621,plain,(
% 26.16/5.00 spl4009_899 <=> sP18(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_899])])).
% 26.16/5.00 tff(f67311,plain,(
% 26.16/5.00 spl4009_57 <=> topolo7287701948861334536_space(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_57])])).
% 26.16/5.00 tff(f70770,plain,(
% 26.16/5.00 spl4009_759 <=> ! [X0 : $tType] : (sP18(X0) | ~topolo7287701948861334536_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_759])])).
% 26.16/5.00 tff(f71115,plain,(
% 26.16/5.00 sP18(real) | (~spl4009_57 | ~spl4009_759)),
% 26.16/5.00 inference(resolution,[],[f70771,f67313])).
% 26.16/5.00 tff(f67313,plain,(
% 26.16/5.00 topolo7287701948861334536_space(real) | ~spl4009_57),
% 26.16/5.00 inference(avatar_component_clause,[],[f67311])).
% 26.16/5.00 tff(f70771,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~topolo7287701948861334536_space(X0) | sP18(X0)) ) | ~spl4009_759),
% 26.16/5.00 inference(avatar_component_clause,[],[f70770])).
% 26.16/5.00 tff(f71619,plain,(
% 26.16/5.00 spl4009_898 | ~spl4009_852),
% 26.16/5.00 inference(avatar_split_clause,[],[f71422,f71418,f71616])).
% 26.16/5.00 tff(f71616,plain,(
% 26.16/5.00 spl4009_898 <=> pp(vEBT_VEBT_minNull(vEBT_vebt_buildup(size_num(one2))))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_898])])).
% 26.16/5.00 tff(f71418,plain,(
% 26.16/5.00 spl4009_852 <=> pp(vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_852])])).
% 26.16/5.00 tff(f71422,plain,(
% 26.16/5.00 pp(vEBT_VEBT_minNull(vEBT_vebt_buildup(size_num(one2)))) | ~spl4009_852),
% 26.16/5.00 inference(forward_demodulation,[],[f71420,f57904])).
% 26.16/5.00 tff(f71420,plain,(
% 26.16/5.00 pp(vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse))) | ~spl4009_852),
% 26.16/5.00 inference(avatar_component_clause,[],[f71418])).
% 26.16/5.00 tff(f71614,plain,(
% 26.16/5.00 spl4009_897 | ~spl4009_56 | ~spl4009_759),
% 26.16/5.00 inference(avatar_split_clause,[],[f71114,f70770,f67306,f71611])).
% 26.16/5.00 tff(f71611,plain,(
% 26.16/5.00 spl4009_897 <=> sP18(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_897])])).
% 26.16/5.00 tff(f67306,plain,(
% 26.16/5.00 spl4009_56 <=> topolo7287701948861334536_space(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_56])])).
% 26.16/5.00 tff(f71114,plain,(
% 26.16/5.00 sP18(complex) | (~spl4009_56 | ~spl4009_759)),
% 26.16/5.00 inference(resolution,[],[f70771,f67308])).
% 26.16/5.00 tff(f67308,plain,(
% 26.16/5.00 topolo7287701948861334536_space(complex) | ~spl4009_56),
% 26.16/5.00 inference(avatar_component_clause,[],[f67306])).
% 26.16/5.00 tff(f71609,plain,(
% 26.16/5.00 spl4009_896 | ~spl4009_849),
% 26.16/5.00 inference(avatar_split_clause,[],[f71406,f71402,f71606])).
% 26.16/5.00 tff(f71606,plain,(
% 26.16/5.00 spl4009_896 <=> one2 = num_of_nat(size_num(one2))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_896])])).
% 26.16/5.00 tff(f71402,plain,(
% 26.16/5.00 spl4009_849 <=> one2 = num_of_nat(zero_zero(nat))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_849])])).
% 26.16/5.00 tff(f71406,plain,(
% 26.16/5.00 one2 = num_of_nat(size_num(one2)) | ~spl4009_849),
% 26.16/5.00 inference(forward_demodulation,[],[f71404,f37568])).
% 26.16/5.00 tff(f71404,plain,(
% 26.16/5.00 one2 = num_of_nat(zero_zero(nat)) | ~spl4009_849),
% 26.16/5.00 inference(avatar_component_clause,[],[f71402])).
% 26.16/5.00 tff(f71604,plain,(
% 26.16/5.00 spl4009_895),
% 26.16/5.00 inference(avatar_split_clause,[],[f63057,f71602])).
% 26.16/5.00 tff(f71602,plain,(
% 26.16/5.00 spl4009_895 <=> ! [X0 : fun(nat,bool),X1 : nat] : sP536(X0,X1,size_num(one2))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_895])])).
% 26.16/5.00 tff(f63057,plain,(
% 26.16/5.00 ( ! [X0 : fun(nat,bool),X1 : nat] : (sP536(X0,X1,size_num(one2))) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57227,f37568])).
% 26.16/5.00 tff(f57227,plain,(
% 26.16/5.00 ( ! [X0 : fun(nat,bool),X1 : nat] : (sP536(X0,X1,zero_zero(nat))) )),
% 26.16/5.00 inference(equality_resolution,[],[f49297])).
% 26.16/5.00 tff(f49297,plain,(
% 26.16/5.00 ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP536(X0,X1,X2) | zero_zero(nat) != X2) )),
% 26.16/5.00 inference(cnf_transformation,[],[f34254])).
% 26.16/5.00 tff(f34254,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP536(X0,X1,X2) | ((~pp(aa(nat,bool,X0,sK3140(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),sK3140(X0,X1,X2))),sK3141(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3141(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 | ~sP536(X0,X1,X2)))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3140,sK3141])],[f34252,f34253])).
% 26.16/5.00 tff(f34253,plain,(
% 26.16/5.00 ! [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,sK3140(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),sK3140(X0,X1,X2))),sK3141(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3141(X0,X1,X2)),X2))))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f34252,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP536(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 | ~sP536(X0,X1,X2)))),
% 26.16/5.00 inference(rectify,[],[f34251])).
% 26.16/5.00 tff(f34251,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP536(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 | ~sP536(X0,X1,X2)))),
% 26.16/5.00 inference(flattening,[],[f34250])).
% 26.16/5.00 tff(f34250,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP536(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) | ~sP536(X0,X1,X2)))),
% 26.16/5.00 inference(nnf_transformation,[],[f28154])).
% 26.16/5.00 tff(f28154,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (sP536(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))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP536])])).
% 26.16/5.00 tff(f71600,plain,(
% 26.16/5.00 spl4009_894),
% 26.16/5.00 inference(avatar_split_clause,[],[f63051,f71598])).
% 26.16/5.00 tff(f71598,plain,(
% 26.16/5.00 spl4009_894 <=> ! [X0 : fun(nat,bool),X1 : nat] : sP535(X0,X1,size_num(one2))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_894])])).
% 26.16/5.00 tff(f63051,plain,(
% 26.16/5.00 ( ! [X0 : fun(nat,bool),X1 : nat] : (sP535(X0,X1,size_num(one2))) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57224,f37568])).
% 26.16/5.00 tff(f57224,plain,(
% 26.16/5.00 ( ! [X0 : fun(nat,bool),X1 : nat] : (sP535(X0,X1,zero_zero(nat))) )),
% 26.16/5.00 inference(equality_resolution,[],[f49288])).
% 26.16/5.00 tff(f49288,plain,(
% 26.16/5.00 ( ! [X2 : nat,X0 : fun(nat,bool),X1 : nat] : (sP535(X0,X1,X2) | zero_zero(nat) != X2) )),
% 26.16/5.00 inference(cnf_transformation,[],[f34247])).
% 26.16/5.00 tff(f34247,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP535(X0,X1,X2) | ((~pp(aa(nat,bool,X0,sK3139(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),sK3138(X0,X1,X2))),sK3139(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3139(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 | ~sP535(X0,X1,X2)))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3138,sK3139])],[f34245,f34246])).
% 26.16/5.00 tff(f34246,plain,(
% 26.16/5.00 ! [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,sK3139(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),sK3138(X0,X1,X2))),sK3139(X0,X1,X2)) = X1 & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3139(X0,X1,X2)),X2))))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f34245,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP535(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 | ~sP535(X0,X1,X2)))),
% 26.16/5.00 inference(rectify,[],[f34244])).
% 26.16/5.00 tff(f34244,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP535(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 | ~sP535(X0,X1,X2)))),
% 26.16/5.00 inference(flattening,[],[f34243])).
% 26.16/5.00 tff(f34243,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : ((sP535(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) | ~sP535(X0,X1,X2)))),
% 26.16/5.00 inference(nnf_transformation,[],[f28152])).
% 26.16/5.00 tff(f28152,plain,(
% 26.16/5.00 ! [X0 : fun(nat,bool),X1 : nat,X2 : nat] : (sP535(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))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP535])])).
% 26.16/5.00 tff(f71596,plain,(
% 26.16/5.00 spl4009_893),
% 26.16/5.00 inference(avatar_split_clause,[],[f61464,f71593])).
% 26.16/5.00 tff(f71593,plain,(
% 26.16/5.00 spl4009_893 <=> sP326(size_num(one2),one_one(nat))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_893])])).
% 26.16/5.00 tff(f61464,plain,(
% 26.16/5.00 sP326(size_num(one2),one_one(nat))),
% 26.16/5.00 inference(forward_demodulation,[],[f61463,f57908])).
% 26.16/5.00 tff(f61463,plain,(
% 26.16/5.00 sP326(size_num(one2),aa(nat,nat,suc,size_num(one2)))),
% 26.16/5.00 inference(forward_demodulation,[],[f57016,f37568])).
% 26.16/5.00 tff(f57016,plain,(
% 26.16/5.00 sP326(zero_zero(nat),aa(nat,nat,suc,zero_zero(nat)))),
% 26.16/5.00 inference(equality_resolution,[],[f57015])).
% 26.16/5.00 tff(f57015,plain,(
% 26.16/5.00 ( ! [X1 : nat] : (sP326(zero_zero(nat),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 26.16/5.00 inference(equality_resolution,[],[f46999])).
% 26.16/5.00 tff(f46999,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : nat] : (sP326(X0,X1) | zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32708])).
% 26.16/5.00 tff(f32708,plain,(
% 26.16/5.00 ! [X0 : nat,X1 : nat] : ((sP326(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) | ~sP326(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f32707])).
% 26.16/5.00 tff(f32707,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : nat] : ((sP326(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) | ~sP326(X1,X0)))),
% 26.16/5.00 inference(flattening,[],[f32706])).
% 26.16/5.00 tff(f32706,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : nat] : ((sP326(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)) | ~sP326(X1,X0)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27879])).
% 26.16/5.00 tff(f27879,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : nat] : (sP326(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)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP326])])).
% 26.16/5.00 tff(f71591,plain,(
% 26.16/5.00 spl4009_892),
% 26.16/5.00 inference(avatar_split_clause,[],[f61462,f71588])).
% 26.16/5.00 tff(f71588,plain,(
% 26.16/5.00 spl4009_892 <=> sP326(one_one(nat),size_num(one2))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_892])])).
% 26.16/5.00 tff(f61462,plain,(
% 26.16/5.00 sP326(one_one(nat),size_num(one2))),
% 26.16/5.00 inference(forward_demodulation,[],[f61461,f57908])).
% 26.16/5.00 tff(f61461,plain,(
% 26.16/5.00 sP326(aa(nat,nat,suc,size_num(one2)),size_num(one2))),
% 26.16/5.00 inference(forward_demodulation,[],[f57014,f37568])).
% 26.16/5.00 tff(f57014,plain,(
% 26.16/5.00 sP326(aa(nat,nat,suc,zero_zero(nat)),zero_zero(nat))),
% 26.16/5.00 inference(equality_resolution,[],[f57013])).
% 26.16/5.00 tff(f57013,plain,(
% 26.16/5.00 ( ! [X1 : nat] : (sP326(aa(nat,nat,suc,zero_zero(nat)),X1) | zero_zero(nat) != X1) )),
% 26.16/5.00 inference(equality_resolution,[],[f47000])).
% 26.16/5.00 tff(f47000,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : nat] : (sP326(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32708])).
% 26.16/5.00 tff(f71586,plain,(
% 26.16/5.00 spl4009_891),
% 26.16/5.00 inference(avatar_split_clause,[],[f61442,f71583])).
% 26.16/5.00 tff(f71583,plain,(
% 26.16/5.00 spl4009_891 <=> sP325(size_num(one2),one_one(nat))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_891])])).
% 26.16/5.00 tff(f61442,plain,(
% 26.16/5.00 sP325(size_num(one2),one_one(nat))),
% 26.16/5.00 inference(forward_demodulation,[],[f61441,f57908])).
% 26.16/5.00 tff(f61441,plain,(
% 26.16/5.00 sP325(size_num(one2),aa(nat,nat,suc,size_num(one2)))),
% 26.16/5.00 inference(forward_demodulation,[],[f57012,f37568])).
% 26.16/5.00 tff(f57012,plain,(
% 26.16/5.00 sP325(zero_zero(nat),aa(nat,nat,suc,zero_zero(nat)))),
% 26.16/5.00 inference(equality_resolution,[],[f57011])).
% 26.16/5.00 tff(f57011,plain,(
% 26.16/5.00 ( ! [X1 : nat] : (sP325(zero_zero(nat),X1) | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 26.16/5.00 inference(equality_resolution,[],[f46991])).
% 26.16/5.00 tff(f46991,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : nat] : (sP325(X0,X1) | zero_zero(nat) != X0 | aa(nat,nat,suc,zero_zero(nat)) != X1) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32704])).
% 26.16/5.00 tff(f32704,plain,(
% 26.16/5.00 ! [X0 : nat,X1 : nat] : ((sP325(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) | ~sP325(X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f32703])).
% 26.16/5.00 tff(f32703,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : nat] : ((sP325(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) | ~sP325(X1,X0)))),
% 26.16/5.00 inference(flattening,[],[f32702])).
% 26.16/5.00 tff(f32702,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : nat] : ((sP325(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)) | ~sP325(X1,X0)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27877])).
% 26.16/5.00 tff(f27877,plain,(
% 26.16/5.00 ! [X1 : nat,X0 : nat] : (sP325(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)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP325])])).
% 26.16/5.00 tff(f71581,plain,(
% 26.16/5.00 spl4009_890),
% 26.16/5.00 inference(avatar_split_clause,[],[f61440,f71578])).
% 26.16/5.00 tff(f71578,plain,(
% 26.16/5.00 spl4009_890 <=> sP325(one_one(nat),size_num(one2))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_890])])).
% 26.16/5.00 tff(f61440,plain,(
% 26.16/5.00 sP325(one_one(nat),size_num(one2))),
% 26.16/5.00 inference(forward_demodulation,[],[f61439,f57908])).
% 26.16/5.00 tff(f61439,plain,(
% 26.16/5.00 sP325(aa(nat,nat,suc,size_num(one2)),size_num(one2))),
% 26.16/5.00 inference(forward_demodulation,[],[f57010,f37568])).
% 26.16/5.00 tff(f57010,plain,(
% 26.16/5.00 sP325(aa(nat,nat,suc,zero_zero(nat)),zero_zero(nat))),
% 26.16/5.00 inference(equality_resolution,[],[f57009])).
% 26.16/5.00 tff(f57009,plain,(
% 26.16/5.00 ( ! [X1 : nat] : (sP325(aa(nat,nat,suc,zero_zero(nat)),X1) | zero_zero(nat) != X1) )),
% 26.16/5.00 inference(equality_resolution,[],[f46992])).
% 26.16/5.00 tff(f46992,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : nat] : (sP325(X0,X1) | aa(nat,nat,suc,zero_zero(nat)) != X0 | zero_zero(nat) != X1) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32704])).
% 26.16/5.00 tff(f71576,plain,(
% 26.16/5.00 spl4009_889),
% 26.16/5.00 inference(avatar_split_clause,[],[f58730,f71574])).
% 26.16/5.00 tff(f71574,plain,(
% 26.16/5.00 spl4009_889 <=> ! [X1 : $tType,X0 : X1] : sP142(X1,X0,size_num(one2))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_889])])).
% 26.16/5.00 tff(f58730,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : X1] : (sP142(X1,X0,size_num(one2))) )),
% 26.16/5.00 inference(forward_demodulation,[],[f56493,f37568])).
% 26.16/5.00 tff(f56493,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : X1] : (sP142(X1,X0,zero_zero(nat))) )),
% 26.16/5.00 inference(equality_resolution,[],[f40852])).
% 26.16/5.00 tff(f40852,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : nat,X0 : X1] : (sP142(X1,X0,X2) | zero_zero(nat) != X2) )),
% 26.16/5.00 inference(cnf_transformation,[],[f29490])).
% 26.16/5.00 tff(f29490,plain,(
% 26.16/5.00 ! [X0 : X1,X1 : $tType,X2 : nat] : ((sP142(X1,X0,X2) | ((~pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0)) | pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & (zero_zero(X1) = X0 | ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & zero_zero(nat) != X2)) & ((pp(aa(X1,bool,aa(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X0)) & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | (zero_zero(X1) != X0 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | zero_zero(nat) = X2 | ~sP142(X1,X0,X2)))),
% 26.16/5.00 inference(rectify,[],[f29489])).
% 26.16/5.00 tff(f29489,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP142(X0,X1,X2) | ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) | pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & (zero_zero(X0) = X1 | ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & zero_zero(nat) != X2)) & ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | zero_zero(nat) = X2 | ~sP142(X0,X1,X2)))),
% 26.16/5.00 inference(flattening,[],[f29488])).
% 26.16/5.00 tff(f29488,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X2 : nat] : ((sP142(X0,X1,X2) | ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) | pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & (zero_zero(X0) = X1 | ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) & zero_zero(nat) != X2)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | zero_zero(nat) = X2) | ~sP142(X0,X1,X2)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27591])).
% 26.16/5.00 tff(f27591,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X2 : nat] : (sP142(X0,X1,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | zero_zero(nat) = X2))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])])).
% 26.16/5.00 tff(f71572,plain,(
% 26.16/5.00 spl4009_888 | ~spl4009_57 | ~spl4009_758),
% 26.16/5.00 inference(avatar_split_clause,[],[f71113,f70766,f67311,f71569])).
% 26.16/5.00 tff(f71569,plain,(
% 26.16/5.00 spl4009_888 <=> sP16(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_888])])).
% 26.16/5.00 tff(f70766,plain,(
% 26.16/5.00 spl4009_758 <=> ! [X0 : $tType] : (sP16(X0) | ~topolo7287701948861334536_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_758])])).
% 26.16/5.00 tff(f71113,plain,(
% 26.16/5.00 sP16(real) | (~spl4009_57 | ~spl4009_758)),
% 26.16/5.00 inference(resolution,[],[f70767,f67313])).
% 26.16/5.00 tff(f70767,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~topolo7287701948861334536_space(X0) | sP16(X0)) ) | ~spl4009_758),
% 26.16/5.00 inference(avatar_component_clause,[],[f70766])).
% 26.16/5.00 tff(f71567,plain,(
% 26.16/5.00 spl4009_887),
% 26.16/5.00 inference(avatar_split_clause,[],[f57903,f71564])).
% 26.16/5.00 tff(f71564,plain,(
% 26.16/5.00 spl4009_887 <=> code_positive = code_integer_of_num),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_887])])).
% 26.16/5.00 tff(f71562,plain,(
% 26.16/5.00 spl4009_886),
% 26.16/5.00 inference(avatar_split_clause,[],[f57901,f71559])).
% 26.16/5.00 tff(f71559,plain,(
% 26.16/5.00 spl4009_886 <=> bot_bot(nat) = size_num(one2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_886])])).
% 26.16/5.00 tff(f57901,plain,(
% 26.16/5.00 bot_bot(nat) = size_num(one2)),
% 26.16/5.00 inference(forward_demodulation,[],[f37570,f37568])).
% 26.16/5.00 tff(f37570,plain,(
% 26.16/5.00 zero_zero(nat) = bot_bot(nat)),
% 26.16/5.00 inference(cnf_transformation,[],[f1030])).
% 26.16/5.00 tff(f1030,axiom,(
% 26.16/5.00 zero_zero(nat) = bot_bot(nat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1029_bot__nat__def)).
% 26.16/5.00 tff(f71557,plain,(
% 26.16/5.00 spl4009_885),
% 26.16/5.00 inference(avatar_split_clause,[],[f57625,f71555])).
% 26.16/5.00 tff(f71555,plain,(
% 26.16/5.00 spl4009_885 <=> ! [X2 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP638(X1,X1,X2,X3)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_885])])).
% 26.16/5.00 tff(f57625,plain,(
% 26.16/5.00 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X1 : nat] : (sP638(X1,X1,X2,X3)) )),
% 26.16/5.00 inference(equality_resolution,[],[f52703])).
% 26.16/5.00 tff(f52703,plain,(
% 26.16/5.00 ( ! [X2 : list(vEBT_VEBT),X3 : nat,X0 : nat,X1 : nat] : (sP638(X0,X1,X2,X3) | X0 != X1) )),
% 26.16/5.00 inference(cnf_transformation,[],[f36273])).
% 26.16/5.00 tff(f36273,plain,(
% 26.16/5.00 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat] : ((sP638(X0,X1,X2,X3) | ((((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK3746(X0,X1,X2,X3)),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),sK3746(X0,X1,X2,X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2,sK3746(X0,X1,X2,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3746(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X3)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))),X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2,X0)) | X0 = X1 | ~sP638(X0,X1,X2,X3)))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3746])],[f36271,f36272])).
% 26.16/5.00 tff(f36272,plain,(
% 26.16/5.00 ! [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),aa(num,num,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),aa(num,num,bit0,one2))),X3)))) => ((~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),sK3746(X0,X1,X2,X3)),X0)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X1),sK3746(X0,X1,X2,X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2,sK3746(X0,X1,X2,X3)) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK3746(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X3)))))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f36271,plain,(
% 26.16/5.00 ! [X0 : nat,X1 : nat,X2 : list(vEBT_VEBT),X3 : nat] : ((sP638(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),aa(num,num,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),aa(num,num,bit0,one2))),X3)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))),X3)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X3,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2,X0)) | X0 = X1 | ~sP638(X0,X1,X2,X3)))),
% 26.16/5.00 inference(rectify,[],[f36270])).
% 26.16/5.00 tff(f36270,plain,(
% 26.16/5.00 ! [X4 : nat,X3 : nat,X1 : list(vEBT_VEBT),X0 : nat] : ((sP638(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),aa(num,num,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),aa(num,num,bit0,one2))),X0)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))),X0)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1,X4)) | X3 = X4 | ~sP638(X4,X3,X1,X0)))),
% 26.16/5.00 inference(flattening,[],[f36269])).
% 26.16/5.00 tff(f36269,plain,(
% 26.16/5.00 ! [X4 : nat,X3 : nat,X1 : list(vEBT_VEBT),X0 : nat] : ((sP638(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),aa(num,num,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),aa(num,num,bit0,one2))),X0)))) | ~vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,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),aa(num,num,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),aa(num,num,bit0,one2))),X0)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1,X4)) | X3 = X4) | ~sP638(X4,X3,X1,X0)))),
% 26.16/5.00 inference(nnf_transformation,[],[f28345])).
% 26.16/5.00 tff(f28345,plain,(
% 26.16/5.00 ! [X4 : nat,X3 : nat,X1 : list(vEBT_VEBT),X0 : nat] : (sP638(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),aa(num,num,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),aa(num,num,bit0,one2))),X0)))) & vEBT_V5917875025757280293ildren(divide_divide(nat,X0,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1,X4)) | X3 = X4))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP638])])).
% 26.16/5.00 tff(f71553,plain,(
% 26.16/5.00 spl4009_884),
% 26.16/5.00 inference(avatar_split_clause,[],[f57178,f71551])).
% 26.16/5.00 tff(f71551,plain,(
% 26.16/5.00 spl4009_884 <=> ! [X1 : $tType,X0 : option(X1)] : ~sP500(X1,X0,none(X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_884])])).
% 26.16/5.00 tff(f57178,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : option(X1)] : (~sP500(X1,X0,none(X1))) )),
% 26.16/5.00 inference(equality_resolution,[],[f48888])).
% 26.16/5.00 tff(f48888,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : option(X1),X0 : option(X1)] : (none(X1) != X2 | ~sP500(X1,X0,X2)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33853])).
% 26.16/5.00 tff(f33853,plain,(
% 26.16/5.00 ! [X0 : option(X1),X1 : $tType,X2 : option(X1)] : ((aa(option(X1),X1,the2(X1),X2) != aa(option(X1),X1,the2(X1),X0) & none(X1) != X0 & none(X1) != X2) | ~sP500(X1,X0,X2))),
% 26.16/5.00 inference(rectify,[],[f33852])).
% 26.16/5.00 tff(f33852,plain,(
% 26.16/5.00 ! [X2 : option(X0),X0 : $tType,X1 : option(X0)] : ((aa(option(X0),X0,the2(X0),X1) != aa(option(X0),X0,the2(X0),X2) & none(X0) != X2 & none(X0) != X1) | ~sP500(X0,X2,X1))),
% 26.16/5.00 inference(nnf_transformation,[],[f28100])).
% 26.16/5.00 tff(f28100,plain,(
% 26.16/5.00 ! [X2 : option(X0),X0 : $tType,X1 : option(X0)] : ((aa(option(X0),X0,the2(X0),X1) != aa(option(X0),X0,the2(X0),X2) & none(X0) != X2 & none(X0) != X1) | ~sP500(X0,X2,X1))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP500])])).
% 26.16/5.00 tff(f71549,plain,(
% 26.16/5.00 spl4009_883),
% 26.16/5.00 inference(avatar_split_clause,[],[f57177,f71547])).
% 26.16/5.00 tff(f71547,plain,(
% 26.16/5.00 spl4009_883 <=> ! [X1 : $tType,X2 : option(X1)] : ~sP500(X1,none(X1),X2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_883])])).
% 26.16/5.00 tff(f57177,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : option(X1)] : (~sP500(X1,none(X1),X2)) )),
% 26.16/5.00 inference(equality_resolution,[],[f48889])).
% 26.16/5.00 tff(f48889,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : option(X1),X0 : option(X1)] : (none(X1) != X0 | ~sP500(X1,X0,X2)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33853])).
% 26.16/5.00 tff(f71545,plain,(
% 26.16/5.00 spl4009_882),
% 26.16/5.00 inference(avatar_split_clause,[],[f57038,f71543])).
% 26.16/5.00 tff(f71543,plain,(
% 26.16/5.00 spl4009_882 <=> ! [X2 : product_prod(int,int),X0 : int] : ~sP334(X0,zero_zero(int),X2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_882])])).
% 26.16/5.00 tff(f57038,plain,(
% 26.16/5.00 ( ! [X2 : product_prod(int,int),X0 : int] : (~sP334(X0,zero_zero(int),X2)) )),
% 26.16/5.00 inference(equality_resolution,[],[f47750])).
% 26.16/5.00 tff(f47750,plain,(
% 26.16/5.00 ( ! [X2 : product_prod(int,int),X0 : int,X1 : int] : (zero_zero(int) != X1 | ~sP334(X0,X1,X2)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32949])).
% 26.16/5.00 tff(f32949,plain,(
% 26.16/5.00 ! [X0 : int,X1 : int,X2 : product_prod(int,int)] : ((aa(int,int,aa(int,fun(int,int),times_times(int),sK2477(X0,X1,X2)),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),sK2477(X0,X1,X2)),zero_zero(int)) = X2) | ~sP334(X0,X1,X2))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2477])],[f32947,f32948])).
% 26.16/5.00 tff(f32948,plain,(
% 26.16/5.00 ! [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),aa(int,fun(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),sK2477(X0,X1,X2)),X1) = X0 & zero_zero(int) != X1 & aa(int,product_prod(int,int),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),sK2477(X0,X1,X2)),zero_zero(int)) = X2))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32947,plain,(
% 26.16/5.00 ! [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),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X3),zero_zero(int)) = X2) | ~sP334(X0,X1,X2))),
% 26.16/5.00 inference(nnf_transformation,[],[f27894])).
% 26.16/5.00 tff(f27894,plain,(
% 26.16/5.00 ! [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),aa(int,fun(int,product_prod(int,int)),product_Pair(int,int),X3),zero_zero(int)) = X2) | ~sP334(X0,X1,X2))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP334])])).
% 26.16/5.00 tff(f71541,plain,(
% 26.16/5.00 spl4009_881),
% 26.16/5.00 inference(avatar_split_clause,[],[f56932,f71539])).
% 26.16/5.00 tff(f71539,plain,(
% 26.16/5.00 spl4009_881 <=> ! [X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP310(X0,X1,X3,X3)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_881])])).
% 26.16/5.00 tff(f56932,plain,(
% 26.16/5.00 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP310(X0,X1,X3,X3)) )),
% 26.16/5.00 inference(equality_resolution,[],[f46676])).
% 26.16/5.00 tff(f46676,plain,(
% 26.16/5.00 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP310(X0,X1,X2,X3) | X2 != X3) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32479])).
% 26.16/5.00 tff(f32479,plain,(
% 26.16/5.00 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP310(X0,X1,X2,X3) | (((~sP309(X3,X2,X1,sK2370(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),sK2370(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2370(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2370(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)))) & X2 != X3)) & (! [X5 : nat] : ((sP309(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),aa(num,num,bit0,one2))),X1)))) | X2 = X3 | ~sP310(X0,X1,X2,X3)))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2370])],[f32477,f32478])).
% 26.16/5.00 tff(f32478,plain,(
% 26.16/5.00 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : (? [X4 : nat] : ((~sP309(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),aa(num,num,bit0,one2))),X1)))) => ((~sP309(X3,X2,X1,sK2370(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),sK2370(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2370(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2370(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)))))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32477,plain,(
% 26.16/5.00 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP310(X0,X1,X2,X3) | (? [X4 : nat] : ((~sP309(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),aa(num,num,bit0,one2))),X1)))) & X2 != X3)) & (! [X5 : nat] : ((sP309(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),aa(num,num,bit0,one2))),X1)))) | X2 = X3 | ~sP310(X0,X1,X2,X3)))),
% 26.16/5.00 inference(rectify,[],[f32476])).
% 26.16/5.00 tff(f32476,plain,(
% 26.16/5.00 ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : ((sP310(X14,X15,X17,X18) | (? [X19 : nat] : ((~sP309(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),aa(num,num,bit0,one2))),X15)))) & X17 != X18)) & (! [X19 : nat] : ((sP309(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),aa(num,num,bit0,one2))),X15)))) | X17 = X18 | ~sP310(X14,X15,X17,X18)))),
% 26.16/5.00 inference(flattening,[],[f32475])).
% 26.16/5.00 tff(f32475,plain,(
% 26.16/5.00 ! [X14 : list(vEBT_VEBT),X15 : nat,X17 : nat,X18 : nat] : ((sP310(X14,X15,X17,X18) | (? [X19 : nat] : ((~sP309(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),aa(num,num,bit0,one2))),X15)))) & X17 != X18)) & ((! [X19 : nat] : ((sP309(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),aa(num,num,bit0,one2))),X15)))) | X17 = X18) | ~sP310(X14,X15,X17,X18)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27859])).
% 26.16/5.00 tff(f71537,plain,(
% 26.16/5.00 spl4009_880),
% 26.16/5.00 inference(avatar_split_clause,[],[f56927,f71535])).
% 26.16/5.00 tff(f71535,plain,(
% 26.16/5.00 spl4009_880 <=> ! [X0 : list(vEBT_VEBT),X1 : nat,X3 : nat] : sP314(X0,X1,X3,X3)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_880])])).
% 26.16/5.00 tff(f56927,plain,(
% 26.16/5.00 ( ! [X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP314(X0,X1,X3,X3)) )),
% 26.16/5.00 inference(equality_resolution,[],[f46656])).
% 26.16/5.00 tff(f46656,plain,(
% 26.16/5.00 ( ! [X2 : nat,X3 : nat,X0 : list(vEBT_VEBT),X1 : nat] : (sP314(X0,X1,X2,X3) | X2 != X3) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32457])).
% 26.16/5.00 tff(f32457,plain,(
% 26.16/5.00 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP314(X0,X1,X2,X3) | (((~sP313(X3,X2,X1,sK2363(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),sK2363(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2363(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2363(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))) & X2 != X3)) & (! [X5 : nat] : ((sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))) | X2 = X3 | ~sP314(X0,X1,X2,X3)))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2363])],[f32455,f32456])).
% 26.16/5.00 tff(f32456,plain,(
% 26.16/5.00 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : (? [X4 : nat] : ((~sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))) => ((~sP313(X3,X2,X1,sK2363(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),sK2363(X0,X1,X2,X3))),vEBT_VEBT_low(X3,X1))) & vEBT_VEBT_high(X3,X1) = sK2363(X0,X1,X2,X3))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),sK2363(X0,X1,X2,X3)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32455,plain,(
% 26.16/5.00 ! [X0 : list(vEBT_VEBT),X1 : nat,X2 : nat,X3 : nat] : ((sP314(X0,X1,X2,X3) | (? [X4 : nat] : ((~sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))) & X2 != X3)) & (! [X5 : nat] : ((sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X1))))) | X2 = X3 | ~sP314(X0,X1,X2,X3)))),
% 26.16/5.00 inference(rectify,[],[f32454])).
% 26.16/5.00 tff(f32454,plain,(
% 26.16/5.00 ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : ((sP314(X2,X3,X5,X6) | (? [X7 : nat] : ((~sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) & X5 != X6)) & (! [X7 : nat] : ((sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) | X5 = X6 | ~sP314(X2,X3,X5,X6)))),
% 26.16/5.00 inference(flattening,[],[f32453])).
% 26.16/5.00 tff(f32453,plain,(
% 26.16/5.00 ! [X2 : list(vEBT_VEBT),X3 : nat,X5 : nat,X6 : nat] : ((sP314(X2,X3,X5,X6) | (? [X7 : nat] : ((~sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) & X5 != X6)) & ((! [X7 : nat] : ((sP313(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),aa(num,num,bit0,one2))),aa(nat,nat,suc,X3))))) | X5 = X6) | ~sP314(X2,X3,X5,X6)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27863])).
% 26.16/5.00 tff(f71533,plain,(
% 26.16/5.00 spl4009_879),
% 26.16/5.00 inference(avatar_split_clause,[],[f56390,f71531])).
% 26.16/5.00 tff(f71531,plain,(
% 26.16/5.00 spl4009_879 <=> ! [X1 : $tType,X2 : X1] : sP37(X1,zero_zero(X1),X2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_879])])).
% 26.16/5.00 tff(f56390,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : X1] : (sP37(X1,zero_zero(X1),X2)) )),
% 26.16/5.00 inference(equality_resolution,[],[f39210])).
% 26.16/5.00 tff(f39210,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : X1,X0 : X1] : (sP37(X1,X0,X2) | zero_zero(X1) != X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f28870])).
% 26.16/5.00 tff(f28870,plain,(
% 26.16/5.00 ! [X0 : X1,X1 : $tType,X2 : X1] : ((sP37(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))) | ~sP37(X1,X0,X2)))),
% 26.16/5.00 inference(rectify,[],[f28869])).
% 26.16/5.00 tff(f28869,plain,(
% 26.16/5.00 ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP37(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))) | ~sP37(X0,X2,X1)))),
% 26.16/5.00 inference(flattening,[],[f28868])).
% 26.16/5.00 tff(f28868,plain,(
% 26.16/5.00 ! [X2 : X0,X0 : $tType,X1 : X0] : ((sP37(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)))) | ~sP37(X0,X2,X1)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27437])).
% 26.16/5.00 tff(f27437,plain,(
% 26.16/5.00 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP37(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])])).
% 26.16/5.00 tff(f71529,plain,(
% 26.16/5.00 spl4009_878),
% 26.16/5.00 inference(avatar_split_clause,[],[f56354,f71527])).
% 26.16/5.00 tff(f71527,plain,(
% 26.16/5.00 spl4009_878 <=> ! [X2 : $tType,X1 : X2] : sP5(X2,zero_zero(real),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_878])])).
% 26.16/5.00 tff(f56354,plain,(
% 26.16/5.00 ( ! [X2 : $tType,X1 : X2] : (sP5(X2,zero_zero(real),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f38408])).
% 26.16/5.00 tff(f38408,plain,(
% 26.16/5.00 ( ! [X2 : $tType,X0 : real,X1 : X2] : (sP5(X2,X0,X1) | zero_zero(real) != X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f28466])).
% 26.16/5.00 tff(f28466,plain,(
% 26.16/5.00 ! [X0 : real,X1 : X2,X2 : $tType] : ((sP5(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))) | ~sP5(X2,X0,X1)))),
% 26.16/5.00 inference(rectify,[],[f28465])).
% 26.16/5.00 tff(f28465,plain,(
% 26.16/5.00 ! [X1 : real,X2 : X0,X0 : $tType] : ((sP5(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))) | ~sP5(X0,X1,X2)))),
% 26.16/5.00 inference(flattening,[],[f28464])).
% 26.16/5.00 tff(f28464,plain,(
% 26.16/5.00 ! [X1 : real,X2 : X0,X0 : $tType] : ((sP5(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)))) | ~sP5(X0,X1,X2)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27388])).
% 26.16/5.00 tff(f27388,plain,(
% 26.16/5.00 ! [X1 : real,X2 : X0,X0 : $tType] : (sP5(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])).
% 26.16/5.00 tff(f71525,plain,(
% 26.16/5.00 spl4009_877 | ~spl4009_56 | ~spl4009_758),
% 26.16/5.00 inference(avatar_split_clause,[],[f71112,f70766,f67306,f71522])).
% 26.16/5.00 tff(f71522,plain,(
% 26.16/5.00 spl4009_877 <=> sP16(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_877])])).
% 26.16/5.00 tff(f71112,plain,(
% 26.16/5.00 sP16(complex) | (~spl4009_56 | ~spl4009_758)),
% 26.16/5.00 inference(resolution,[],[f70767,f67308])).
% 26.16/5.00 tff(f71520,plain,(
% 26.16/5.00 spl4009_876),
% 26.16/5.00 inference(avatar_split_clause,[],[f56353,f71518])).
% 26.16/5.00 tff(f71518,plain,(
% 26.16/5.00 spl4009_876 <=> ! [X1 : $tType,X2 : X1] : sP3(X1,zero_zero(real),X2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_876])])).
% 26.16/5.00 tff(f56353,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : X1] : (sP3(X1,zero_zero(real),X2)) )),
% 26.16/5.00 inference(equality_resolution,[],[f38398])).
% 26.16/5.00 tff(f38398,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X2 : X1,X0 : real] : (sP3(X1,X0,X2) | zero_zero(real) != X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f28462])).
% 26.16/5.00 tff(f28462,plain,(
% 26.16/5.00 ! [X0 : real,X1 : $tType,X2 : X1] : ((sP3(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))) | ~sP3(X1,X0,X2)))),
% 26.16/5.00 inference(rectify,[],[f28461])).
% 26.16/5.00 tff(f28461,plain,(
% 26.16/5.00 ! [X1 : real,X0 : $tType,X2 : X0] : ((sP3(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))) | ~sP3(X0,X1,X2)))),
% 26.16/5.00 inference(flattening,[],[f28460])).
% 26.16/5.00 tff(f28460,plain,(
% 26.16/5.00 ! [X1 : real,X0 : $tType,X2 : X0] : ((sP3(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)))) | ~sP3(X0,X1,X2)))),
% 26.16/5.00 inference(nnf_transformation,[],[f27385])).
% 26.16/5.00 tff(f27385,plain,(
% 26.16/5.00 ! [X1 : real,X0 : $tType,X2 : X0] : (sP3(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])).
% 26.16/5.00 tff(f71516,plain,(
% 26.16/5.00 spl4009_875),
% 26.16/5.00 inference(avatar_split_clause,[],[f48934,f71514])).
% 26.16/5.00 tff(f71514,plain,(
% 26.16/5.00 spl4009_875 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP516(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_875])])).
% 26.16/5.00 tff(f48934,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP516(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33895])).
% 26.16/5.00 tff(f33895,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Node(none(product_prod(nat,nat)),sK2980(X1),sK2981(X1),sK2982(X1)) = X1) | ~sP516(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2980,sK2981,sK2982])],[f33893,f33894])).
% 26.16/5.00 tff(f33894,plain,(
% 26.16/5.00 ! [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)),sK2980(X1),sK2981(X1),sK2982(X1)) = X1)),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f33893,plain,(
% 26.16/5.00 ! [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) | ~sP516(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f33892])).
% 26.16/5.00 tff(f33892,plain,(
% 26.16/5.00 ! [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) | ~sP516(X2,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f28118])).
% 26.16/5.00 tff(f28118,plain,(
% 26.16/5.00 ! [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) | ~sP516(X2,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP516])])).
% 26.16/5.00 tff(f71512,plain,(
% 26.16/5.00 spl4009_874),
% 26.16/5.00 inference(avatar_split_clause,[],[f48932,f71510])).
% 26.16/5.00 tff(f71510,plain,(
% 26.16/5.00 spl4009_874 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP517(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_874])])).
% 26.16/5.00 tff(f48932,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP517(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33891])).
% 26.16/5.00 tff(f33891,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2977(X1)),zero_zero(nat),sK2978(X1),sK2979(X1)) = X1) | ~sP517(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2977,sK2978,sK2979])],[f33889,f33890])).
% 26.16/5.00 tff(f33890,plain,(
% 26.16/5.00 ! [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)),sK2977(X1)),zero_zero(nat),sK2978(X1),sK2979(X1)) = X1)),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f33889,plain,(
% 26.16/5.00 ! [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) | ~sP517(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f33888])).
% 26.16/5.00 tff(f33888,plain,(
% 26.16/5.00 ! [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) | ~sP517(X2,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f28119])).
% 26.16/5.00 tff(f28119,plain,(
% 26.16/5.00 ! [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) | ~sP517(X2,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP517])])).
% 26.16/5.00 tff(f71508,plain,(
% 26.16/5.00 spl4009_873),
% 26.16/5.00 inference(avatar_split_clause,[],[f48865,f71506])).
% 26.16/5.00 tff(f71506,plain,(
% 26.16/5.00 spl4009_873 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP498(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_873])])).
% 26.16/5.00 tff(f48865,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP498(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33829])).
% 26.16/5.00 tff(f33829,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Leaf(sK2947(X1),sK2948(X1)) = X1) | ~sP498(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2947,sK2948])],[f33827,f33828])).
% 26.16/5.00 tff(f33828,plain,(
% 26.16/5.00 ! [X1 : vEBT_VEBT] : (? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X1 => vEBT_Leaf(sK2947(X1),sK2948(X1)) = X1)),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f33827,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : bool,X3 : bool] : vEBT_Leaf(X2,X3) = X1) | ~sP498(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f33826])).
% 26.16/5.00 tff(f33826,plain,(
% 26.16/5.00 ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP498(X2,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f28097])).
% 26.16/5.00 tff(f28097,plain,(
% 26.16/5.00 ! [X2 : bool,X0 : vEBT_VEBT] : ((~pp(X2) & ? [X3 : bool,X4 : bool] : vEBT_Leaf(X3,X4) = X0) | ~sP498(X2,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP498])])).
% 26.16/5.00 tff(f71504,plain,(
% 26.16/5.00 spl4009_872),
% 26.16/5.00 inference(avatar_split_clause,[],[f48863,f71502])).
% 26.16/5.00 tff(f71502,plain,(
% 26.16/5.00 spl4009_872 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP499(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_872])])).
% 26.16/5.00 tff(f48863,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP499(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33825])).
% 26.16/5.00 tff(f33825,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Node(none(product_prod(nat,nat)),zero_zero(nat),sK2945(X1),sK2946(X1)) = X1) | ~sP499(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2945,sK2946])],[f33823,f33824])).
% 26.16/5.00 tff(f33824,plain,(
% 26.16/5.00 ! [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),sK2945(X1),sK2946(X1)) = X1)),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f33823,plain,(
% 26.16/5.00 ! [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) | ~sP499(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f33822])).
% 26.16/5.00 tff(f33822,plain,(
% 26.16/5.00 ! [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) | ~sP499(X2,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f28098])).
% 26.16/5.00 tff(f28098,plain,(
% 26.16/5.00 ! [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) | ~sP499(X2,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP499])])).
% 26.16/5.00 tff(f71500,plain,(
% 26.16/5.00 spl4009_871),
% 26.16/5.00 inference(avatar_split_clause,[],[f47196,f71498])).
% 26.16/5.00 tff(f71498,plain,(
% 26.16/5.00 spl4009_871 <=> ! [X2 : nat,X0 : bool,X1 : bool] : ~vEBT_VEBT_membermima(vEBT_Leaf(X0,X1),X2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_871])])).
% 26.16/5.00 tff(f47196,plain,(
% 26.16/5.00 ( ! [X2 : nat,X0 : bool,X1 : bool] : (~vEBT_VEBT_membermima(vEBT_Leaf(X0,X1),X2)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f15487])).
% 26.16/5.00 tff(f15487,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : bool,X2 : nat] : ~vEBT_VEBT_membermima(vEBT_Leaf(X0,X1),X2)),
% 26.16/5.00 inference(rectify,[],[f1347])).
% 26.16/5.00 tff(f1347,axiom,(
% 26.16/5.00 ! [X108 : bool,X109 : bool,X111 : nat] : ~vEBT_VEBT_membermima(vEBT_Leaf(X108,X109),X111)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1346_VEBT__internal_Omembermima_Osimps_I1_J)).
% 26.16/5.00 tff(f71496,plain,(
% 26.16/5.00 spl4009_870),
% 26.16/5.00 inference(avatar_split_clause,[],[f46413,f71494])).
% 26.16/5.00 tff(f71494,plain,(
% 26.16/5.00 spl4009_870 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP300(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_870])])).
% 26.16/5.00 tff(f46413,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP300(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32171])).
% 26.16/5.00 tff(f71492,plain,(
% 26.16/5.00 spl4009_869),
% 26.16/5.00 inference(avatar_split_clause,[],[f46411,f71490])).
% 26.16/5.00 tff(f71490,plain,(
% 26.16/5.00 spl4009_869 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP301(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_869])])).
% 26.16/5.00 tff(f46411,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP301(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32169])).
% 26.16/5.00 tff(f32169,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Leaf(fTrue,sK2190(X1)) = X1) | ~sP301(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2190])],[f32167,f32168])).
% 26.16/5.00 tff(f32168,plain,(
% 26.16/5.00 ! [X1 : vEBT_VEBT] : (? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X1 => vEBT_Leaf(fTrue,sK2190(X1)) = X1)),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32167,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X1) | ~sP301(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f32166])).
% 26.16/5.00 tff(f32166,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X0) | ~sP301(X1,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f27843])).
% 26.16/5.00 tff(f27843,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X2 : bool] : vEBT_Leaf(fTrue,X2) = X0) | ~sP301(X1,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP301])])).
% 26.16/5.00 tff(f71488,plain,(
% 26.16/5.00 spl4009_868),
% 26.16/5.00 inference(avatar_split_clause,[],[f46409,f71486])).
% 26.16/5.00 tff(f71486,plain,(
% 26.16/5.00 spl4009_868 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP302(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_868])])).
% 26.16/5.00 tff(f46409,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP302(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32165])).
% 26.16/5.00 tff(f32165,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & vEBT_Leaf(sK2189(X1),fTrue) = X1) | ~sP302(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2189])],[f32163,f32164])).
% 26.16/5.00 tff(f32164,plain,(
% 26.16/5.00 ! [X1 : vEBT_VEBT] : (? [X2 : bool] : vEBT_Leaf(X2,fTrue) = X1 => vEBT_Leaf(sK2189(X1),fTrue) = X1)),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32163,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((~pp(X0) & ? [X2 : bool] : vEBT_Leaf(X2,fTrue) = X1) | ~sP302(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f32162])).
% 26.16/5.00 tff(f32162,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X3 : bool] : vEBT_Leaf(X3,fTrue) = X0) | ~sP302(X1,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f27844])).
% 26.16/5.00 tff(f27844,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : ((~pp(X1) & ? [X3 : bool] : vEBT_Leaf(X3,fTrue) = X0) | ~sP302(X1,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP302])])).
% 26.16/5.00 tff(f71484,plain,(
% 26.16/5.00 spl4009_867),
% 26.16/5.00 inference(avatar_split_clause,[],[f46404,f71482])).
% 26.16/5.00 tff(f71482,plain,(
% 26.16/5.00 spl4009_867 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP294(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_867])])).
% 26.16/5.00 tff(f46404,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP294(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32160])).
% 26.16/5.00 tff(f71480,plain,(
% 26.16/5.00 spl4009_866 | ~spl4009_55 | ~spl4009_757),
% 26.16/5.00 inference(avatar_split_clause,[],[f71111,f70762,f67301,f71477])).
% 26.16/5.00 tff(f71477,plain,(
% 26.16/5.00 spl4009_866 <=> sP14(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_866])])).
% 26.16/5.00 tff(f67301,plain,(
% 26.16/5.00 spl4009_55 <=> real_V7819770556892013058_space(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_55])])).
% 26.16/5.00 tff(f70762,plain,(
% 26.16/5.00 spl4009_757 <=> ! [X0 : $tType] : (sP14(X0) | ~real_V7819770556892013058_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_757])])).
% 26.16/5.00 tff(f71111,plain,(
% 26.16/5.00 sP14(real) | (~spl4009_55 | ~spl4009_757)),
% 26.16/5.00 inference(resolution,[],[f70763,f67303])).
% 26.16/5.00 tff(f67303,plain,(
% 26.16/5.00 real_V7819770556892013058_space(real) | ~spl4009_55),
% 26.16/5.00 inference(avatar_component_clause,[],[f67301])).
% 26.16/5.00 tff(f70763,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP14(X0)) ) | ~spl4009_757),
% 26.16/5.00 inference(avatar_component_clause,[],[f70762])).
% 26.16/5.00 tff(f71475,plain,(
% 26.16/5.00 spl4009_865),
% 26.16/5.00 inference(avatar_split_clause,[],[f46401,f71473])).
% 26.16/5.00 tff(f71473,plain,(
% 26.16/5.00 spl4009_865 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP295(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_865])])).
% 26.16/5.00 tff(f46401,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP295(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32158])).
% 26.16/5.00 tff(f32158,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,sK2188(X0,X1))) & ~pp(X0) & vEBT_Leaf(fTrue,sK2188(X0,X1)) = X1) | ~sP295(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2188])],[f32156,f32157])).
% 26.16/5.00 tff(f32157,plain,(
% 26.16/5.00 ! [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,sK2188(X0,X1))) & ~pp(X0) & vEBT_Leaf(fTrue,sK2188(X0,X1)) = X1))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32156,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X2)) & ~pp(X0) & vEBT_Leaf(fTrue,X2) = X1) | ~sP295(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f32155])).
% 26.16/5.00 tff(f32155,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X2)) & ~pp(X1) & vEBT_Leaf(fTrue,X2) = X0) | ~sP295(X1,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f27836])).
% 26.16/5.00 tff(f27836,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(fTrue,X2)) & ~pp(X1) & vEBT_Leaf(fTrue,X2) = X0) | ~sP295(X1,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP295])])).
% 26.16/5.00 tff(f71471,plain,(
% 26.16/5.00 spl4009_864),
% 26.16/5.00 inference(avatar_split_clause,[],[f46398,f71469])).
% 26.16/5.00 tff(f71469,plain,(
% 26.16/5.00 spl4009_864 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP296(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_864])])).
% 26.16/5.00 tff(f46398,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP296(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32154])).
% 26.16/5.00 tff(f32154,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(sK2187(X0,X1),fTrue)) & ~pp(X0) & vEBT_Leaf(sK2187(X0,X1),fTrue) = X1) | ~sP296(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2187])],[f32152,f32153])).
% 26.16/5.00 tff(f32153,plain,(
% 26.16/5.00 ! [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(sK2187(X0,X1),fTrue)) & ~pp(X0) & vEBT_Leaf(sK2187(X0,X1),fTrue) = X1))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32152,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : (? [X2 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(X2,fTrue)) & ~pp(X0) & vEBT_Leaf(X2,fTrue) = X1) | ~sP296(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f32151])).
% 26.16/5.00 tff(f32151,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : (? [X3 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(X3,fTrue)) & ~pp(X1) & vEBT_Leaf(X3,fTrue) = X0) | ~sP296(X1,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f27837])).
% 26.16/5.00 tff(f27837,plain,(
% 26.16/5.00 ! [X1 : bool,X0 : vEBT_VEBT] : (? [X3 : bool] : (accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Leaf(X3,fTrue)) & ~pp(X1) & vEBT_Leaf(X3,fTrue) = X0) | ~sP296(X1,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP296])])).
% 26.16/5.00 tff(f71467,plain,(
% 26.16/5.00 spl4009_863),
% 26.16/5.00 inference(avatar_split_clause,[],[f46395,f71465])).
% 26.16/5.00 tff(f71465,plain,(
% 26.16/5.00 spl4009_863 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP297(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_863])])).
% 26.16/5.00 tff(f46395,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (pp(X0) | ~sP297(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32150])).
% 26.16/5.00 tff(f32150,plain,(
% 26.16/5.00 ! [X0 : bool,X1 : vEBT_VEBT] : ((accp(vEBT_VEBT,vEBT_V6963167321098673237ll_rel,vEBT_Node(none(product_prod(nat,nat)),sK2184(X0,X1),sK2185(X0,X1),sK2186(X0,X1))) & pp(X0) & vEBT_Node(none(product_prod(nat,nat)),sK2184(X0,X1),sK2185(X0,X1),sK2186(X0,X1)) = X1) | ~sP297(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2184,sK2185,sK2186])],[f32148,f32149])).
% 26.16/5.00 tff(f32149,plain,(
% 26.16/5.00 ! [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)),sK2184(X0,X1),sK2185(X0,X1),sK2186(X0,X1))) & pp(X0) & vEBT_Node(none(product_prod(nat,nat)),sK2184(X0,X1),sK2185(X0,X1),sK2186(X0,X1)) = X1))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32148,plain,(
% 26.16/5.00 ! [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) | ~sP297(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f32147])).
% 26.16/5.00 tff(f32147,plain,(
% 26.16/5.00 ! [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) | ~sP297(X1,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f27838])).
% 26.16/5.00 tff(f27838,plain,(
% 26.16/5.00 ! [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) | ~sP297(X1,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP297])])).
% 26.16/5.00 tff(f71463,plain,(
% 26.16/5.00 spl4009_862),
% 26.16/5.00 inference(avatar_split_clause,[],[f46392,f71461])).
% 26.16/5.00 tff(f71461,plain,(
% 26.16/5.00 spl4009_862 <=> ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP298(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_862])])).
% 26.16/5.00 tff(f46392,plain,(
% 26.16/5.00 ( ! [X0 : bool,X1 : vEBT_VEBT] : (~pp(X0) | ~sP298(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f32146])).
% 26.16/5.00 tff(f32146,plain,(
% 26.16/5.00 ! [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)),sK2180(X0,X1)),sK2181(X0,X1),sK2182(X0,X1),sK2183(X0,X1))) & ~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2180(X0,X1)),sK2181(X0,X1),sK2182(X0,X1),sK2183(X0,X1)) = X1) | ~sP298(X0,X1))),
% 26.16/5.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2180,sK2181,sK2182,sK2183])],[f32144,f32145])).
% 26.16/5.00 tff(f32145,plain,(
% 26.16/5.00 ! [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)),sK2180(X0,X1)),sK2181(X0,X1),sK2182(X0,X1),sK2183(X0,X1))) & ~pp(X0) & vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),sK2180(X0,X1)),sK2181(X0,X1),sK2182(X0,X1),sK2183(X0,X1)) = X1))),
% 26.16/5.00 introduced(choice_axiom,[])).
% 26.16/5.00 tff(f32144,plain,(
% 26.16/5.00 ! [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) | ~sP298(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f32143])).
% 26.16/5.00 tff(f32143,plain,(
% 26.16/5.00 ! [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) | ~sP298(X1,X0))),
% 26.16/5.00 inference(nnf_transformation,[],[f27839])).
% 26.16/5.00 tff(f27839,plain,(
% 26.16/5.00 ! [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) | ~sP298(X1,X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP298])])).
% 26.16/5.00 tff(f71459,plain,(
% 26.16/5.00 spl4009_861),
% 26.16/5.00 inference(avatar_split_clause,[],[f44926,f71457])).
% 26.16/5.00 tff(f71457,plain,(
% 26.16/5.00 spl4009_861 <=> ! [X1 : $tType,X0 : $tType] : (sP204(X0,X1) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_861])])).
% 26.16/5.00 tff(f44926,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (sP204(X0,X1) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27695])).
% 26.16/5.00 tff(f27695,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (sP204(X0,X1) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f23402,f27694,f27693])).
% 26.16/5.00 tff(f27693,plain,(
% 26.16/5.00 ! [X2 : fun(X1,bool),X1 : $tType,X0 : $tType,X4 : X0,X5 : set(X0),X3 : fun(X1,X0)] : (sP203(X1,X0,X2,X4,X5,X3) <=> ? [X6 : set(X0)] : (! [X7 : X1] : (pp(aa(X1,bool,X2,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X1,X0,X3,X7)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X6),X5)),aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X4),bot_bot(set(X0))))))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X6)) & topolo1002775350975398744n_open(X0,X6)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP203])])).
% 26.16/5.00 tff(f27694,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,bool),X3 : fun(X1,X0),X4 : X0,X5 : set(X0)] : (pp(aa(filter(X1),bool,aa(fun(X1,bool),fun(filter(X1),bool),eventually(X1),X2),filtercomap(X1,X0,X3,topolo174197925503356063within(X0,X4,X5)))) <=> sP203(X1,X0,X2,X4,X5,X3)) | ~sP204(X0,X1))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP204])])).
% 26.16/5.00 tff(f23402,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,bool),X3 : fun(X1,X0),X4 : X0,X5 : set(X0)] : (pp(aa(filter(X1),bool,aa(fun(X1,bool),fun(filter(X1),bool),eventually(X1),X2),filtercomap(X1,X0,X3,topolo174197925503356063within(X0,X4,X5)))) <=> ? [X6 : set(X0)] : (! [X7 : X1] : (pp(aa(X1,bool,X2,X7)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X1,X0,X3,X7)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X6),X5)),aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X4),bot_bot(set(X0))))))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X6)) & topolo1002775350975398744n_open(X0,X6))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f14463])).
% 26.16/5.00 tff(f14463,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : (topolo4958980785337419405_space(X0) => ! [X2 : fun(X1,bool),X3 : fun(X1,X0),X4 : X0,X5 : set(X0)] : (pp(aa(filter(X1),bool,aa(fun(X1,bool),fun(filter(X1),bool),eventually(X1),X2),filtercomap(X1,X0,X3,topolo174197925503356063within(X0,X4,X5)))) <=> ? [X6 : set(X0)] : (! [X7 : X1] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(X1,X0,X3,X7)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),minus_minus(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X6),X5)),aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X4),bot_bot(set(X0)))))) => pp(aa(X1,bool,X2,X7))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X6)) & topolo1002775350975398744n_open(X0,X6))))),
% 26.16/5.00 inference(rectify,[],[f5453])).
% 26.16/5.00 tff(f5453,axiom,(
% 26.16/5.00 ! [X1 : $tType,X0 : $tType] : (topolo4958980785337419405_space(X1) => ! [X45 : fun(X0,bool),X56 : fun(X0,X1),X54 : X1,X58 : set(X1)] : (pp(aa(filter(X0),bool,aa(fun(X0,bool),fun(filter(X0),bool),eventually(X0),X45),filtercomap(X0,X1,X56,topolo174197925503356063within(X1,X54,X58)))) <=> ? [X367 : set(X1)] : (! [X38 : X0] : (pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),aa(X0,X1,X56,X38)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),minus_minus(set(X1)),aa(set(X1),set(X1),aa(set(X1),fun(set(X1),set(X1)),inf_inf(set(X1)),X367),X58)),aa(set(X1),set(X1),aa(X1,fun(set(X1),set(X1)),insert2(X1),X54),bot_bot(set(X1)))))) => pp(aa(X0,bool,X45,X38))) & pp(aa(set(X1),bool,aa(X1,fun(set(X1),bool),member(X1),X54),X367)) & topolo1002775350975398744n_open(X1,X367))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5452_eventually__filtercomap__at__topological)).
% 26.16/5.00 tff(f71455,plain,(
% 26.16/5.00 spl4009_860),
% 26.16/5.00 inference(avatar_split_clause,[],[f42291,f71453])).
% 26.16/5.00 tff(f71453,plain,(
% 26.16/5.00 spl4009_860 <=> ! [X0 : $tType] : (finite_finite(set(X0)) | ~finite_finite(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_860])])).
% 26.16/5.00 tff(f42291,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (finite_finite(set(X0)) | ~finite_finite(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f21573])).
% 26.16/5.00 tff(f21573,plain,(
% 26.16/5.00 ! [X0 : $tType] : (finite_finite(set(X0)) | ~finite_finite(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12637])).
% 26.16/5.00 tff(f12637,plain,(
% 26.16/5.00 ! [X0 : $tType] : (finite_finite(X0) => finite_finite(set(X0)))),
% 26.16/5.00 inference(rectify,[],[f9468])).
% 26.16/5.00 tff(f9468,axiom,(
% 26.16/5.00 ! [X341 : $tType] : (finite_finite(X341) => finite_finite(set(X341)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Finite__Set_Ofinite_198)).
% 26.16/5.00 tff(f71451,plain,(
% 26.16/5.00 spl4009_859),
% 26.16/5.00 inference(avatar_split_clause,[],[f42290,f71449])).
% 26.16/5.00 tff(f71449,plain,(
% 26.16/5.00 spl4009_859 <=> ! [X0 : $tType] : (finite_finite(option(X0)) | ~finite_finite(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_859])])).
% 26.16/5.00 tff(f42290,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (finite_finite(option(X0)) | ~finite_finite(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f21572])).
% 26.16/5.00 tff(f21572,plain,(
% 26.16/5.00 ! [X0 : $tType] : (finite_finite(option(X0)) | ~finite_finite(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12636])).
% 26.16/5.00 tff(f12636,plain,(
% 26.16/5.00 ! [X0 : $tType] : (finite_finite(X0) => finite_finite(option(X0)))),
% 26.16/5.00 inference(rectify,[],[f9650])).
% 26.16/5.00 tff(f9650,axiom,(
% 26.16/5.00 ! [X341 : $tType] : (finite_finite(X341) => finite_finite(option(X341)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Option_Ooption___Finite__Set_Ofinite_359)).
% 26.16/5.00 tff(f71447,plain,(
% 26.16/5.00 spl4009_858),
% 26.16/5.00 inference(avatar_split_clause,[],[f37847,f71445])).
% 26.16/5.00 tff(f71445,plain,(
% 26.16/5.00 spl4009_858 <=> ! [X0 : set(nat)] : inj_on(nat,nat,suc,X0)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_858])])).
% 26.16/5.00 tff(f37847,plain,(
% 26.16/5.00 ( ! [X0 : set(nat)] : (inj_on(nat,nat,suc,X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9991])).
% 26.16/5.00 tff(f9991,plain,(
% 26.16/5.00 ! [X0 : set(nat)] : inj_on(nat,nat,suc,X0)),
% 26.16/5.00 inference(rectify,[],[f5745])).
% 26.16/5.00 tff(f5745,axiom,(
% 26.16/5.00 ! [X128 : set(nat)] : inj_on(nat,nat,suc,X128)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5744_inj__Suc)).
% 26.16/5.00 tff(f71443,plain,(
% 26.16/5.00 spl4009_857),
% 26.16/5.00 inference(avatar_split_clause,[],[f37845,f71441])).
% 26.16/5.00 tff(f71441,plain,(
% 26.16/5.00 spl4009_857 <=> ! [X0 : $tType] : countable_countable(X0,bot_bot(set(X0)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_857])])).
% 26.16/5.00 tff(f37845,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (countable_countable(X0,bot_bot(set(X0)))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f6541])).
% 26.16/5.00 tff(f6541,axiom,(
% 26.16/5.00 ! [X0 : $tType] : countable_countable(X0,bot_bot(set(X0)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6540_countable__empty)).
% 26.16/5.00 tff(f71439,plain,(
% 26.16/5.00 spl4009_856),
% 26.16/5.00 inference(avatar_split_clause,[],[f37844,f71437])).
% 26.16/5.00 tff(f71437,plain,(
% 26.16/5.00 spl4009_856 <=> ! [X0 : num] : pow(X0,one2) = X0),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_856])])).
% 26.16/5.00 tff(f37844,plain,(
% 26.16/5.00 ( ! [X0 : num] : (pow(X0,one2) = X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9990])).
% 26.16/5.00 tff(f9990,plain,(
% 26.16/5.00 ! [X0 : num] : pow(X0,one2) = X0),
% 26.16/5.00 inference(rectify,[],[f2499])).
% 26.16/5.00 tff(f2499,axiom,(
% 26.16/5.00 ! [X25 : num] : pow(X25,one2) = X25),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2498_pow_Osimps_I1_J)).
% 26.16/5.00 tff(f71435,plain,(
% 26.16/5.00 spl4009_855 | ~spl4009_54 | ~spl4009_757),
% 26.16/5.00 inference(avatar_split_clause,[],[f71110,f70762,f67296,f71432])).
% 26.16/5.00 tff(f71432,plain,(
% 26.16/5.00 spl4009_855 <=> sP14(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_855])])).
% 26.16/5.00 tff(f67296,plain,(
% 26.16/5.00 spl4009_54 <=> real_V7819770556892013058_space(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_54])])).
% 26.16/5.00 tff(f71110,plain,(
% 26.16/5.00 sP14(complex) | (~spl4009_54 | ~spl4009_757)),
% 26.16/5.00 inference(resolution,[],[f70763,f67298])).
% 26.16/5.00 tff(f67298,plain,(
% 26.16/5.00 real_V7819770556892013058_space(complex) | ~spl4009_54),
% 26.16/5.00 inference(avatar_component_clause,[],[f67296])).
% 26.16/5.00 tff(f71430,plain,(
% 26.16/5.00 spl4009_854),
% 26.16/5.00 inference(avatar_split_clause,[],[f37843,f71428])).
% 26.16/5.00 tff(f71428,plain,(
% 26.16/5.00 spl4009_854 <=> ! [X0 : bool] : ~pp(vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X0)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_854])])).
% 26.16/5.00 tff(f37843,plain,(
% 26.16/5.00 ( ! [X0 : bool] : (~pp(vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X0)))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9989])).
% 26.16/5.00 tff(f9989,plain,(
% 26.16/5.00 ! [X0 : bool] : ~pp(vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X0)))),
% 26.16/5.00 inference(rectify,[],[f1345])).
% 26.16/5.00 tff(f1345,axiom,(
% 26.16/5.00 ! [X109 : bool] : ~pp(vEBT_VEBT_minNull(vEBT_Leaf(fTrue,X109)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1344_VEBT__internal_OminNull_Osimps_I2_J)).
% 26.16/5.00 tff(f71426,plain,(
% 26.16/5.00 spl4009_853),
% 26.16/5.00 inference(avatar_split_clause,[],[f37842,f71424])).
% 26.16/5.00 tff(f71424,plain,(
% 26.16/5.00 spl4009_853 <=> ! [X0 : bool] : ~pp(vEBT_VEBT_minNull(vEBT_Leaf(X0,fTrue)))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_853])])).
% 26.16/5.00 tff(f37842,plain,(
% 26.16/5.00 ( ! [X0 : bool] : (~pp(vEBT_VEBT_minNull(vEBT_Leaf(X0,fTrue)))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9988])).
% 26.16/5.00 tff(f9988,plain,(
% 26.16/5.00 ! [X0 : bool] : ~pp(vEBT_VEBT_minNull(vEBT_Leaf(X0,fTrue)))),
% 26.16/5.00 inference(rectify,[],[f1346])).
% 26.16/5.00 tff(f1346,axiom,(
% 26.16/5.00 ! [X108 : bool] : ~pp(vEBT_VEBT_minNull(vEBT_Leaf(X108,fTrue)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1345_VEBT__internal_OminNull_Osimps_I3_J)).
% 26.16/5.00 tff(f71421,plain,(
% 26.16/5.00 spl4009_852),
% 26.16/5.00 inference(avatar_split_clause,[],[f37571,f71418])).
% 26.16/5.00 tff(f37571,plain,(
% 26.16/5.00 pp(vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse)))),
% 26.16/5.00 inference(cnf_transformation,[],[f1344])).
% 26.16/5.00 tff(f1344,axiom,(
% 26.16/5.00 pp(vEBT_VEBT_minNull(vEBT_Leaf(fFalse,fFalse)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1343_VEBT__internal_OminNull_Osimps_I1_J)).
% 26.16/5.00 tff(f71416,plain,(
% 26.16/5.00 spl4009_851),
% 26.16/5.00 inference(avatar_split_clause,[],[f37568,f71413])).
% 26.16/5.00 tff(f71413,plain,(
% 26.16/5.00 spl4009_851 <=> zero_zero(nat) = size_num(one2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_851])])).
% 26.16/5.00 tff(f71411,plain,(
% 26.16/5.00 spl4009_850),
% 26.16/5.00 inference(avatar_split_clause,[],[f37567,f71408])).
% 26.16/5.00 tff(f71408,plain,(
% 26.16/5.00 spl4009_850 <=> one2 = bit_or_not_num_neg(one2,one2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_850])])).
% 26.16/5.00 tff(f37567,plain,(
% 26.16/5.00 one2 = bit_or_not_num_neg(one2,one2)),
% 26.16/5.00 inference(cnf_transformation,[],[f2534])).
% 26.16/5.00 tff(f2534,axiom,(
% 26.16/5.00 one2 = bit_or_not_num_neg(one2,one2)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2533_or__not__num__neg_Osimps_I1_J)).
% 26.16/5.00 tff(f71405,plain,(
% 26.16/5.00 spl4009_849),
% 26.16/5.00 inference(avatar_split_clause,[],[f37566,f71402])).
% 26.16/5.00 tff(f37566,plain,(
% 26.16/5.00 one2 = num_of_nat(zero_zero(nat))),
% 26.16/5.00 inference(cnf_transformation,[],[f4346])).
% 26.16/5.00 tff(f4346,axiom,(
% 26.16/5.00 one2 = num_of_nat(zero_zero(nat))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4345_num__of__nat_Osimps_I1_J)).
% 26.16/5.00 tff(f71400,plain,(
% 26.16/5.00 spl4009_848 | ~spl4009_55 | ~spl4009_756),
% 26.16/5.00 inference(avatar_split_clause,[],[f71104,f70758,f67301,f71397])).
% 26.16/5.00 tff(f71397,plain,(
% 26.16/5.00 spl4009_848 <=> sP12(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_848])])).
% 26.16/5.00 tff(f70758,plain,(
% 26.16/5.00 spl4009_756 <=> ! [X0 : $tType] : (sP12(X0) | ~real_V7819770556892013058_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_756])])).
% 26.16/5.00 tff(f71104,plain,(
% 26.16/5.00 sP12(real) | (~spl4009_55 | ~spl4009_756)),
% 26.16/5.00 inference(resolution,[],[f70759,f67303])).
% 26.16/5.00 tff(f70759,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP12(X0)) ) | ~spl4009_756),
% 26.16/5.00 inference(avatar_component_clause,[],[f70758])).
% 26.16/5.00 tff(f71314,plain,(
% 26.16/5.00 spl4009_847 | ~spl4009_54 | ~spl4009_756),
% 26.16/5.00 inference(avatar_split_clause,[],[f71103,f70758,f67296,f71311])).
% 26.16/5.00 tff(f71311,plain,(
% 26.16/5.00 spl4009_847 <=> sP12(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_847])])).
% 26.16/5.00 tff(f71103,plain,(
% 26.16/5.00 sP12(complex) | (~spl4009_54 | ~spl4009_756)),
% 26.16/5.00 inference(resolution,[],[f70759,f67298])).
% 26.16/5.00 tff(f71265,plain,(
% 26.16/5.00 spl4009_846 | ~spl4009_55 | ~spl4009_755),
% 26.16/5.00 inference(avatar_split_clause,[],[f71102,f70754,f67301,f71262])).
% 26.16/5.00 tff(f71262,plain,(
% 26.16/5.00 spl4009_846 <=> sP10(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_846])])).
% 26.16/5.00 tff(f70754,plain,(
% 26.16/5.00 spl4009_755 <=> ! [X0 : $tType] : (sP10(X0) | ~real_V7819770556892013058_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_755])])).
% 26.16/5.00 tff(f71102,plain,(
% 26.16/5.00 sP10(real) | (~spl4009_55 | ~spl4009_755)),
% 26.16/5.00 inference(resolution,[],[f70755,f67303])).
% 26.16/5.00 tff(f70755,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V7819770556892013058_space(X0) | sP10(X0)) ) | ~spl4009_755),
% 26.16/5.00 inference(avatar_component_clause,[],[f70754])).
% 26.16/5.00 tff(f71220,plain,(
% 26.16/5.00 spl4009_845 | ~spl4009_54 | ~spl4009_755),
% 26.16/5.00 inference(avatar_split_clause,[],[f71101,f70754,f67296,f71217])).
% 26.16/5.00 tff(f71217,plain,(
% 26.16/5.00 spl4009_845 <=> sP10(complex)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_845])])).
% 26.16/5.00 tff(f71101,plain,(
% 26.16/5.00 sP10(complex) | (~spl4009_54 | ~spl4009_755)),
% 26.16/5.00 inference(resolution,[],[f70755,f67298])).
% 26.16/5.00 tff(f71185,plain,(
% 26.16/5.00 spl4009_844 | ~spl4009_7 | ~spl4009_754),
% 26.16/5.00 inference(avatar_split_clause,[],[f71100,f70750,f67061,f71182])).
% 26.16/5.00 tff(f71182,plain,(
% 26.16/5.00 spl4009_844 <=> sP8(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_844])])).
% 26.16/5.00 tff(f67061,plain,(
% 26.16/5.00 spl4009_7 <=> real_V5355595471888546746vector(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_7])])).
% 26.16/5.00 tff(f70750,plain,(
% 26.16/5.00 spl4009_754 <=> ! [X0 : $tType] : (sP8(X0) | ~real_V5355595471888546746vector(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_754])])).
% 26.16/5.00 tff(f71100,plain,(
% 26.16/5.00 sP8(real) | (~spl4009_7 | ~spl4009_754)),
% 26.16/5.00 inference(resolution,[],[f70751,f67063])).
% 26.16/5.00 tff(f67063,plain,(
% 26.16/5.00 real_V5355595471888546746vector(real) | ~spl4009_7),
% 26.16/5.00 inference(avatar_component_clause,[],[f67061])).
% 26.16/5.00 tff(f70751,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP8(X0)) ) | ~spl4009_754),
% 26.16/5.00 inference(avatar_component_clause,[],[f70750])).
% 26.16/5.00 tff(f71159,plain,(
% 26.16/5.00 spl4009_843 | ~spl4009_7 | ~spl4009_753),
% 26.16/5.00 inference(avatar_split_clause,[],[f71099,f70746,f67061,f71156])).
% 26.16/5.00 tff(f71156,plain,(
% 26.16/5.00 spl4009_843 <=> sP6(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_843])])).
% 26.16/5.00 tff(f70746,plain,(
% 26.16/5.00 spl4009_753 <=> ! [X0 : $tType] : (sP6(X0) | ~real_V5355595471888546746vector(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_753])])).
% 26.16/5.00 tff(f71099,plain,(
% 26.16/5.00 sP6(real) | (~spl4009_7 | ~spl4009_753)),
% 26.16/5.00 inference(resolution,[],[f70747,f67063])).
% 26.16/5.00 tff(f70747,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP6(X0)) ) | ~spl4009_753),
% 26.16/5.00 inference(avatar_component_clause,[],[f70746])).
% 26.16/5.00 tff(f71134,plain,(
% 26.16/5.00 spl4009_842 | ~spl4009_7 | ~spl4009_752),
% 26.16/5.00 inference(avatar_split_clause,[],[f71098,f70742,f67061,f71131])).
% 26.16/5.00 tff(f71131,plain,(
% 26.16/5.00 spl4009_842 <=> sP4(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_842])])).
% 26.16/5.00 tff(f70742,plain,(
% 26.16/5.00 spl4009_752 <=> ! [X0 : $tType] : (sP4(X0) | ~real_V5355595471888546746vector(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_752])])).
% 26.16/5.00 tff(f71098,plain,(
% 26.16/5.00 sP4(real) | (~spl4009_7 | ~spl4009_752)),
% 26.16/5.00 inference(resolution,[],[f70743,f67063])).
% 26.16/5.00 tff(f70743,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~real_V5355595471888546746vector(X0) | sP4(X0)) ) | ~spl4009_752),
% 26.16/5.00 inference(avatar_component_clause,[],[f70742])).
% 26.16/5.00 tff(f71109,plain,(
% 26.16/5.00 spl4009_841 | ~spl4009_4 | ~spl4009_751),
% 26.16/5.00 inference(avatar_split_clause,[],[f71097,f70738,f67046,f71106])).
% 26.16/5.00 tff(f71106,plain,(
% 26.16/5.00 spl4009_841 <=> sP2(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_841])])).
% 26.16/5.00 tff(f67046,plain,(
% 26.16/5.00 spl4009_4 <=> topolo8458572112393995274pology(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_4])])).
% 26.16/5.00 tff(f70738,plain,(
% 26.16/5.00 spl4009_751 <=> ! [X0 : $tType] : (sP2(X0) | ~topolo8458572112393995274pology(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_751])])).
% 26.16/5.00 tff(f71097,plain,(
% 26.16/5.00 sP2(real) | (~spl4009_4 | ~spl4009_751)),
% 26.16/5.00 inference(resolution,[],[f70739,f67048])).
% 26.16/5.00 tff(f67048,plain,(
% 26.16/5.00 topolo8458572112393995274pology(real) | ~spl4009_4),
% 26.16/5.00 inference(avatar_component_clause,[],[f67046])).
% 26.16/5.00 tff(f70739,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (~topolo8458572112393995274pology(X0) | sP2(X0)) ) | ~spl4009_751),
% 26.16/5.00 inference(avatar_component_clause,[],[f70738])).
% 26.16/5.00 tff(f71096,plain,(
% 26.16/5.00 spl4009_840),
% 26.16/5.00 inference(avatar_split_clause,[],[f63070,f71094])).
% 26.16/5.00 tff(f71094,plain,(
% 26.16/5.00 spl4009_840 <=> ! [X1 : bool] : sP538(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_840])])).
% 26.16/5.00 tff(f63070,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP538(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57233,f37568])).
% 26.16/5.00 tff(f57233,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP538(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f49315])).
% 26.16/5.00 tff(f49315,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (sP538(X0,X1) | zero_zero(nat) != X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f34265])).
% 26.16/5.00 tff(f71092,plain,(
% 26.16/5.00 spl4009_839),
% 26.16/5.00 inference(avatar_split_clause,[],[f63016,f71090])).
% 26.16/5.00 tff(f71090,plain,(
% 26.16/5.00 spl4009_839 <=> ! [X1 : bool] : sP530(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_839])])).
% 26.16/5.00 tff(f63016,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP530(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57218,f37568])).
% 26.16/5.00 tff(f57218,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP530(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f49208])).
% 26.16/5.00 tff(f49208,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (sP530(X0,X1) | zero_zero(nat) != X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f34172])).
% 26.16/5.00 tff(f71088,plain,(
% 26.16/5.00 spl4009_838),
% 26.16/5.00 inference(avatar_split_clause,[],[f62939,f71086])).
% 26.16/5.00 tff(f71086,plain,(
% 26.16/5.00 spl4009_838 <=> ! [X1 : bool] : ~sP510(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_838])])).
% 26.16/5.00 tff(f62939,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP510(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57194,f37568])).
% 26.16/5.00 tff(f57194,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP510(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f48955])).
% 26.16/5.00 tff(f48955,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP510(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33913])).
% 26.16/5.00 tff(f71084,plain,(
% 26.16/5.00 spl4009_837),
% 26.16/5.00 inference(avatar_split_clause,[],[f62909,f71082])).
% 26.16/5.00 tff(f71082,plain,(
% 26.16/5.00 spl4009_837 <=> ! [X1 : bool] : sP501(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_837])])).
% 26.16/5.00 tff(f62909,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP501(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57186,f37568])).
% 26.16/5.00 tff(f57186,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP501(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f48926])).
% 26.16/5.00 tff(f48926,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (sP501(X0,X1) | zero_zero(nat) != X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33886])).
% 26.16/5.00 tff(f71080,plain,(
% 26.16/5.00 spl4009_836),
% 26.16/5.00 inference(avatar_split_clause,[],[f62759,f71078])).
% 26.16/5.00 tff(f71078,plain,(
% 26.16/5.00 spl4009_836 <=> ! [X1 : bool] : ~sP472(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_836])])).
% 26.16/5.00 tff(f62759,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP472(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57164,f37568])).
% 26.16/5.00 tff(f57164,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP472(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f48787])).
% 26.16/5.00 tff(f48787,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP472(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33751])).
% 26.16/5.00 tff(f71076,plain,(
% 26.16/5.00 spl4009_835),
% 26.16/5.00 inference(avatar_split_clause,[],[f62735,f71074])).
% 26.16/5.00 tff(f71074,plain,(
% 26.16/5.00 spl4009_835 <=> ! [X1 : bool] : sP466(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_835])])).
% 26.16/5.00 tff(f62735,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP466(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f57158,f37568])).
% 26.16/5.00 tff(f57158,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (sP466(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f48770])).
% 26.16/5.00 tff(f48770,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (sP466(X0,X1) | zero_zero(nat) != X0) )),
% 26.16/5.00 inference(cnf_transformation,[],[f33735])).
% 26.16/5.00 tff(f71072,plain,(
% 26.16/5.00 spl4009_834),
% 26.16/5.00 inference(avatar_split_clause,[],[f60476,f71070])).
% 26.16/5.00 tff(f71070,plain,(
% 26.16/5.00 spl4009_834 <=> ! [X1 : bool] : ~sP265(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_834])])).
% 26.16/5.00 tff(f60476,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP265(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f56832,f37568])).
% 26.16/5.00 tff(f56832,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP265(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f45692])).
% 26.16/5.00 tff(f45692,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP265(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f31766])).
% 26.16/5.00 tff(f71068,plain,(
% 26.16/5.00 spl4009_833),
% 26.16/5.00 inference(avatar_split_clause,[],[f60454,f71066])).
% 26.16/5.00 tff(f71066,plain,(
% 26.16/5.00 spl4009_833 <=> ! [X1 : bool] : ~sP260(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_833])])).
% 26.16/5.00 tff(f60454,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP260(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f56829,f37568])).
% 26.16/5.00 tff(f56829,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP260(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f45677])).
% 26.16/5.00 tff(f45677,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP260(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f31753])).
% 26.16/5.00 tff(f71064,plain,(
% 26.16/5.00 spl4009_832),
% 26.16/5.00 inference(avatar_split_clause,[],[f60129,f71062])).
% 26.16/5.00 tff(f71062,plain,(
% 26.16/5.00 spl4009_832 <=> ! [X1 : bool] : ~sP219(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_832])])).
% 26.16/5.00 tff(f60129,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP219(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f56788,f37568])).
% 26.16/5.00 tff(f56788,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP219(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f45362])).
% 26.16/5.00 tff(f45362,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP219(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f31503])).
% 26.16/5.00 tff(f71060,plain,(
% 26.16/5.00 spl4009_831),
% 26.16/5.00 inference(avatar_split_clause,[],[f60125,f71058])).
% 26.16/5.00 tff(f71058,plain,(
% 26.16/5.00 spl4009_831 <=> ! [X1 : bool] : ~sP216(size_num(one2),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_831])])).
% 26.16/5.00 tff(f60125,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP216(size_num(one2),X1)) )),
% 26.16/5.00 inference(forward_demodulation,[],[f56785,f37568])).
% 26.16/5.00 tff(f56785,plain,(
% 26.16/5.00 ( ! [X1 : bool] : (~sP216(zero_zero(nat),X1)) )),
% 26.16/5.00 inference(equality_resolution,[],[f45354])).
% 26.16/5.00 tff(f45354,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : bool] : (zero_zero(nat) != X0 | ~sP216(X0,X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f31494])).
% 26.16/5.00 tff(f71056,plain,(
% 26.16/5.00 spl4009_830),
% 26.16/5.00 inference(avatar_split_clause,[],[f58018,f71054])).
% 26.16/5.00 tff(f71054,plain,(
% 26.16/5.00 spl4009_830 <=> ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,size_num(one2))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_830])])).
% 26.16/5.00 tff(f58018,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,size_num(one2))) )),
% 26.16/5.00 inference(forward_demodulation,[],[f37837,f37568])).
% 26.16/5.00 tff(f37837,plain,(
% 26.16/5.00 ( ! [X0 : vEBT_VEBT] : (~vEBT_invar_vebt(X0,zero_zero(nat))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9986])).
% 26.16/5.00 tff(f9986,plain,(
% 26.16/5.00 ! [X0 : vEBT_VEBT] : ~vEBT_invar_vebt(X0,zero_zero(nat))),
% 26.16/5.00 inference(rectify,[],[f924])).
% 26.16/5.00 tff(f924,axiom,(
% 26.16/5.00 ! [X36 : vEBT_VEBT] : ~vEBT_invar_vebt(X36,zero_zero(nat))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_923_valid__tree__deg__neq__0)).
% 26.16/5.00 tff(f71052,plain,(
% 26.16/5.00 spl4009_829),
% 26.16/5.00 inference(avatar_split_clause,[],[f44008,f71050])).
% 26.16/5.00 tff(f71050,plain,(
% 26.16/5.00 spl4009_829 <=> ! [X1 : $tType,X0 : $tType] : size(product_prod(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_829])])).
% 26.16/5.00 tff(f44008,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (size(product_prod(X0,X1))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f13719])).
% 26.16/5.00 tff(f13719,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : size(product_prod(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f9792])).
% 26.16/5.00 tff(f9792,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : size(product_prod(X341,X518))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Oprod___Nat_Osize_500)).
% 26.16/5.00 tff(f71048,plain,(
% 26.16/5.00 spl4009_828),
% 26.16/5.00 inference(avatar_split_clause,[],[f44007,f71046])).
% 26.16/5.00 tff(f71046,plain,(
% 26.16/5.00 spl4009_828 <=> ! [X1 : $tType,X0 : $tType] : size(sum_sum(X0,X1))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_828])])).
% 26.16/5.00 tff(f44007,plain,(
% 26.16/5.00 ( ! [X1 : $tType,X0 : $tType] : (size(sum_sum(X0,X1))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f13718])).
% 26.16/5.00 tff(f13718,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : $tType] : size(sum_sum(X0,X1))),
% 26.16/5.00 inference(rectify,[],[f9630])).
% 26.16/5.00 tff(f9630,axiom,(
% 26.16/5.00 ! [X341 : $tType,X518 : $tType] : size(sum_sum(X341,X518))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Sum__Type_Osum___Nat_Osize_339)).
% 26.16/5.00 tff(f71044,plain,(
% 26.16/5.00 spl4009_827),
% 26.16/5.00 inference(avatar_split_clause,[],[f44006,f71042])).
% 26.16/5.00 tff(f71042,plain,(
% 26.16/5.00 spl4009_827 <=> ! [X0 : nat,X1 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_827])])).
% 26.16/5.00 tff(f44006,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : nat] : (~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f13717])).
% 26.16/5.00 tff(f13717,plain,(
% 26.16/5.00 ! [X0 : nat,X1 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1)),
% 26.16/5.00 inference(rectify,[],[f164])).
% 26.16/5.00 tff(f164,axiom,(
% 26.16/5.00 ! [X35 : nat,X25 : nat] : ~vEBT_VEBT_membermima(vEBT_vebt_buildup(X35),X25)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_buildup__nothing__in__min__max)).
% 26.16/5.00 tff(f71040,plain,(
% 26.16/5.00 spl4009_826),
% 26.16/5.00 inference(avatar_split_clause,[],[f44005,f71038])).
% 26.16/5.00 tff(f71038,plain,(
% 26.16/5.00 spl4009_826 <=> ! [X0 : nat,X1 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_826])])).
% 26.16/5.00 tff(f44005,plain,(
% 26.16/5.00 ( ! [X0 : nat,X1 : nat] : (~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f13716])).
% 26.16/5.00 tff(f13716,plain,(
% 26.16/5.00 ! [X0 : nat,X1 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1)),
% 26.16/5.00 inference(rectify,[],[f103])).
% 26.16/5.00 tff(f103,axiom,(
% 26.16/5.00 ! [X35 : nat,X25 : nat] : ~vEBT_V5719532721284313246member(vEBT_vebt_buildup(X35),X25)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_buildup__nothing__in__leaf)).
% 26.16/5.00 tff(f71036,plain,(
% 26.16/5.00 spl4009_825),
% 26.16/5.00 inference(avatar_split_clause,[],[f43266,f71034])).
% 26.16/5.00 tff(f71034,plain,(
% 26.16/5.00 spl4009_825 <=> ! [X0 : $tType] : (sP196(X0) | ~order(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_825])])).
% 26.16/5.00 tff(f43266,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP196(X0) | ~order(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27680])).
% 26.16/5.00 tff(f27680,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP196(X0) | ~order(X0))),
% 26.16/5.00 inference(definition_folding,[],[f22356,f27679,f27678])).
% 26.16/5.00 tff(f27679,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X3,X4) = set_or1337092689740270186AtMost(X0,X1,X2) <=> sP195(X0,X4,X3,X2,X1)) | ~sP196(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP196])])).
% 26.16/5.00 tff(f22356,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X3,X4) = set_or1337092689740270186AtMost(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_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3))) | ~order(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f13199])).
% 26.16/5.00 tff(f13199,plain,(
% 26.16/5.00 ! [X0 : $tType] : (order(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or1337092689740270186AtMost(X0,X3,X4) = set_or1337092689740270186AtMost(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_eq(X0),X1),X2))) | (X2 = X4 & X1 = X3))))),
% 26.16/5.00 inference(rectify,[],[f1564])).
% 26.16/5.00 tff(f1564,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (order(X0) => ! [X95 : X0,X76 : X0,X207 : X0,X208 : X0] : (set_or1337092689740270186AtMost(X0,X95,X76) = set_or1337092689740270186AtMost(X0,X207,X208) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X207),X208)) & ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X95),X76))) | (X76 = X208 & X95 = X207))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1563_Icc__eq__Icc)).
% 26.16/5.00 tff(f71032,plain,(
% 26.16/5.00 spl4009_824),
% 26.16/5.00 inference(avatar_split_clause,[],[f43123,f71030])).
% 26.16/5.00 tff(f71030,plain,(
% 26.16/5.00 spl4009_824 <=> ! [X0 : $tType] : (sP191(X0) | ~order(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_824])])).
% 26.16/5.00 tff(f43123,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP191(X0) | ~order(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27671])).
% 26.16/5.00 tff(f27671,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP191(X0) | ~order(X0))),
% 26.16/5.00 inference(definition_folding,[],[f22260,f27670,f27669])).
% 26.16/5.00 tff(f27669,plain,(
% 26.16/5.00 ! [X1 : fun(nat,X0),X0 : $tType] : (sP190(X0,X1) <=> (! [X2 : nat,X3 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X1,X3)),aa(nat,X0,X1,X2))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ! [X4 : nat,X5 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP190])])).
% 26.16/5.00 tff(f22260,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) <=> (! [X2 : nat,X3 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X1,X3)),aa(nat,X0,X1,X2))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))) | ! [X4 : nat,X5 : nat] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5))) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5))))) | ~order(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f13122])).
% 26.16/5.00 tff(f13122,plain,(
% 26.16/5.00 ! [X0 : $tType] : (order(X0) => ! [X1 : fun(nat,X0)] : (topological_monoseq(X0,X1) <=> (! [X2 : nat,X3 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X1,X3)),aa(nat,X0,X1,X2)))) | ! [X4 : nat,X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))))))),
% 26.16/5.00 inference(rectify,[],[f3018])).
% 26.16/5.00 tff(f3018,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (order(X0) => ! [X61 : fun(nat,X0)] : (topological_monoseq(X0,X61) <=> (! [X119 : nat,X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X119),X118)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X61,X118)),aa(nat,X0,X61,X119)))) | ! [X119 : nat,X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X119),X118)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(nat,X0,X61,X119)),aa(nat,X0,X61,X118)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3017_monoseq__def)).
% 26.16/5.00 tff(f71028,plain,(
% 26.16/5.00 spl4009_823),
% 26.16/5.00 inference(avatar_split_clause,[],[f43073,f71026])).
% 26.16/5.00 tff(f71026,plain,(
% 26.16/5.00 spl4009_823 <=> ! [X0 : $tType] : (sP188(X0) | ~preorder(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_823])])).
% 26.16/5.00 tff(f43073,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP188(X0) | ~preorder(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27666])).
% 26.16/5.00 tff(f27666,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP188(X0) | ~preorder(X0))),
% 26.16/5.00 inference(definition_folding,[],[f22232,f27665,f27664])).
% 26.16/5.00 tff(f27664,plain,(
% 26.16/5.00 ! [X4 : X0,X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP187(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP187])])).
% 26.16/5.00 tff(f27665,plain,(
% 26.16/5.00 ! [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))) <=> sP187(X0,X4,X3,X2,X1)) | ~sP188(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP188])])).
% 26.16/5.00 tff(f22232,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f13101])).
% 26.16/5.00 tff(f13101,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1573])).
% 26.16/5.00 tff(f1573,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (preorder(X0) => ! [X19 : X0,X20 : X0,X62 : X0,X67 : X0] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less(set(X0)),set_or1337092689740270186AtMost(X0,X19,X20)),set_or1337092689740270186AtMost(X0,X62,X67))) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),X67)) & (((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),X67)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),X19))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X67)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),X19))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1572_atLeastatMost__psubset__iff)).
% 26.16/5.00 tff(f71024,plain,(
% 26.16/5.00 spl4009_822),
% 26.16/5.00 inference(avatar_split_clause,[],[f42932,f71022])).
% 26.16/5.00 tff(f71022,plain,(
% 26.16/5.00 spl4009_822 <=> ! [X0 : $tType] : (sP186(X0) | ~linorder(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_822])])).
% 26.16/5.00 tff(f42932,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP186(X0) | ~linorder(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27663])).
% 26.16/5.00 tff(f27663,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP186(X0) | ~linorder(X0))),
% 26.16/5.00 inference(definition_folding,[],[f22126,f27662,f27661])).
% 26.16/5.00 tff(f27661,plain,(
% 26.16/5.00 ! [X1 : X0,X4 : X0,X0 : $tType,X3 : X0,X2 : X0] : (sP185(X0,X1,X4,X3,X2) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X1)) | 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_eq(X0),X4),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP185])])).
% 26.16/5.00 tff(f27662,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X1,X2)),set_or3652927894154168847AtMost(X0,X3,X4)) <=> sP185(X0,X1,X4,X3,X2)) | ~sP186(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP186])])).
% 26.16/5.00 tff(f22126,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X1,X2)),set_or3652927894154168847AtMost(X0,X3,X4)) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X1)) | 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_eq(X0),X4),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)))) | ~linorder(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f13022])).
% 26.16/5.00 tff(f13022,plain,(
% 26.16/5.00 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X1,X2)),set_or3652927894154168847AtMost(X0,X3,X4)) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X1)) | 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_eq(X0),X4),X3)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1)))))),
% 26.16/5.00 inference(rectify,[],[f5324])).
% 26.16/5.00 tff(f5324,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linorder(X0) => ! [X19 : X0,X20 : X0,X62 : X0,X67 : X0] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),set_or3652927894154168847AtMost(X0,X19,X20)),set_or3652927894154168847AtMost(X0,X62,X67)) <=> (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X67),X19)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X62)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X67),X62)) | pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19)))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5323_Ioc__disjoint)).
% 26.16/5.00 tff(f71020,plain,(
% 26.16/5.00 spl4009_821),
% 26.16/5.00 inference(avatar_split_clause,[],[f42916,f71018])).
% 26.16/5.00 tff(f71018,plain,(
% 26.16/5.00 spl4009_821 <=> ! [X0 : $tType] : (sP184(X0) | ~linorder(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_821])])).
% 26.16/5.00 tff(f42916,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP184(X0) | ~linorder(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27660])).
% 26.16/5.00 tff(f27660,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP184(X0) | ~linorder(X0))),
% 26.16/5.00 inference(definition_folding,[],[f22123,f27659,f27658])).
% 26.16/5.00 tff(f27659,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X3,X4) = set_or3652927894154168847AtMost(X0,X1,X2) <=> sP183(X0,X4,X2,X3,X1)) | ~sP184(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP184])])).
% 26.16/5.00 tff(f22123,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X3,X4) = set_or3652927894154168847AtMost(X0,X1,X2) <=> ((X2 = X4 & X1 = X3) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))))) | ~linorder(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f13019])).
% 26.16/5.00 tff(f13019,plain,(
% 26.16/5.00 ! [X0 : $tType] : (linorder(X0) => ! [X1 : X0,X2 : X0,X3 : X0,X4 : X0] : (set_or3652927894154168847AtMost(X0,X3,X4) = set_or3652927894154168847AtMost(X0,X1,X2) <=> ((X2 = X4 & X1 = X3) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X1))))))),
% 26.16/5.00 inference(rectify,[],[f5301])).
% 26.16/5.00 tff(f5301,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linorder(X0) => ! [X19 : X0,X20 : X0,X62 : X0,X67 : X0] : (set_or3652927894154168847AtMost(X0,X19,X20) = set_or3652927894154168847AtMost(X0,X62,X67) <=> ((X20 = X67 & X19 = X62) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X67),X62)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5300_Ioc__inj)).
% 26.16/5.00 tff(f71016,plain,(
% 26.16/5.00 spl4009_820),
% 26.16/5.00 inference(avatar_split_clause,[],[f42790,f71014])).
% 26.16/5.00 tff(f71014,plain,(
% 26.16/5.00 spl4009_820 <=> ! [X0 : $tType] : (sP178(X0) | ~linorder(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_820])])).
% 26.16/5.00 tff(f42790,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP178(X0) | ~linorder(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27652])).
% 26.16/5.00 tff(f27652,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP178(X0) | ~linorder(X0))),
% 26.16/5.00 inference(definition_folding,[],[f22045,f27651,f27650])).
% 26.16/5.00 tff(f27650,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP177(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)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP177])])).
% 26.16/5.00 tff(f27651,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : list(X0),X2 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X1,X2)) <=> sP177(X0,X2,X1)) | ~sP178(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP178])])).
% 26.16/5.00 tff(f22045,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f12962])).
% 26.16/5.00 tff(f12962,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f6262])).
% 26.16/5.00 tff(f6262,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linorder(X0) => ! [X37 : list(X0),X158 : list(X0)] : (sorted_wrt(X0,ord_less_eq(X0),append(X0,X37,X158)) <=> (! [X38 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),aa(list(X0),set(X0),set2(X0),X37))) => ! [X142 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X142),aa(list(X0),set(X0),set2(X0),X158))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X38),X142)))) & sorted_wrt(X0,ord_less_eq(X0),X158) & sorted_wrt(X0,ord_less_eq(X0),X37))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6261_sorted__append)).
% 26.16/5.00 tff(f71012,plain,(
% 26.16/5.00 spl4009_819),
% 26.16/5.00 inference(avatar_split_clause,[],[f41816,f71010])).
% 26.16/5.00 tff(f71010,plain,(
% 26.16/5.00 spl4009_819 <=> ! [X0 : $tType] : (sP174(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_819])])).
% 26.16/5.00 tff(f41816,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP174(X0) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27645])).
% 26.16/5.00 tff(f27645,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP174(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f21142,f27644,f27643])).
% 26.16/5.00 tff(f27643,plain,(
% 26.16/5.00 ! [X1 : fun(nat,X0),X0 : $tType,X2 : X0] : (sP173(X0,X1,X2) <=> ! [X3 : set(X0)] : (? [X4 : nat] : ! [X5 : nat] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(nat,X0,X1,X5)),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X3)) | ~topolo1002775350975398744n_open(X0,X3)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP173])])).
% 26.16/5.00 tff(f27644,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> sP173(X0,X1,X2)) | ~sP174(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP174])])).
% 26.16/5.00 tff(f21142,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : set(X0)] : (? [X4 : nat] : ! [X5 : nat] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(nat,X0,X1,X5)),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X3)) | ~topolo1002775350975398744n_open(X0,X3))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(flattening,[],[f21141])).
% 26.16/5.00 tff(f21141,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : set(X0)] : ((? [X4 : nat] : ! [X5 : nat] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(nat,X0,X1,X5)),X3)) | ~pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X3))) | ~topolo1002775350975398744n_open(X0,X3))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12262])).
% 26.16/5.00 tff(f12262,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> ! [X3 : set(X0)] : (topolo1002775350975398744n_open(X0,X3) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X3)) => ? [X4 : nat] : ! [X5 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X4),X5)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(nat,X0,X1,X5)),X3)))))))),
% 26.16/5.00 inference(rectify,[],[f5080])).
% 26.16/5.00 tff(f5080,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X56 : fun(nat,X0),X366 : X0] : (filterlim(nat,X0,X56,topolo7230453075368039082e_nhds(X0,X366),at_top(nat)) <=> ! [X367 : set(X0)] : (topolo1002775350975398744n_open(X0,X367) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X366),X367)) => ? [X234 : nat] : ! [X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X234),X118)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),aa(nat,X0,X56,X118)),X367)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5079_lim__explicit)).
% 26.16/5.00 tff(f71008,plain,(
% 26.16/5.00 spl4009_818),
% 26.16/5.00 inference(avatar_split_clause,[],[f41788,f71006])).
% 26.16/5.00 tff(f71006,plain,(
% 26.16/5.00 spl4009_818 <=> ! [X0 : $tType] : (sP170(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_818])])).
% 26.16/5.00 tff(f41788,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP170(X0) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27638])).
% 26.16/5.00 tff(f27638,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP170(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f21127,f27637,f27636])).
% 26.16/5.00 tff(f27636,plain,(
% 26.16/5.00 ! [X1 : set(X0),X0 : $tType] : (sP169(X0,X1) <=> ! [X2 : X0] : (? [X3 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X3),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X3)) & topolo1002775350975398744n_open(X0,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X1))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP169])])).
% 26.16/5.00 tff(f21127,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) <=> ! [X2 : X0] : (? [X3 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X3),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X3)) & topolo1002775350975398744n_open(X0,X3)) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X1)))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12251])).
% 26.16/5.00 tff(f12251,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo1002775350975398744n_open(X0,X1) <=> ! [X2 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X1)) => ? [X3 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X3),X1)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X3)) & topolo1002775350975398744n_open(X0,X3)))))),
% 26.16/5.00 inference(rectify,[],[f5072])).
% 26.16/5.00 tff(f5072,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X141 : set(X0)] : (topolo1002775350975398744n_open(X0,X141) <=> ! [X38 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X141)) => ? [X360 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X360),X141)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X360)) & topolo1002775350975398744n_open(X0,X360)))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5071_open__subopen)).
% 26.16/5.00 tff(f71004,plain,(
% 26.16/5.00 spl4009_817),
% 26.16/5.00 inference(avatar_split_clause,[],[f41780,f71002])).
% 26.16/5.00 tff(f71002,plain,(
% 26.16/5.00 spl4009_817 <=> ! [X0 : $tType] : (sP168(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_817])])).
% 26.16/5.00 tff(f41780,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP168(X0) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27635])).
% 26.16/5.00 tff(f27635,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP168(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f21126,f27634,f27633])).
% 26.16/5.00 tff(f21126,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> ! [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) | ~topolo1002775350975398744n_open(X0,X3) | ~topolo1002775350975398744n_open(X0,X2))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12250])).
% 26.16/5.00 tff(f12250,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> ~? [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) & bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) & bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) & topolo1002775350975398744n_open(X0,X3) & topolo1002775350975398744n_open(X0,X2))))),
% 26.16/5.00 inference(rectify,[],[f7146])).
% 26.16/5.00 tff(f7146,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X141 : set(X0)] : (topolo1966860045006549960nected(X0,X141) <=> ~? [X219 : set(X0),X270 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X270),X141) & bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X219),X141) & bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X219),X270)),X141) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X141),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X219),X270))) & topolo1002775350975398744n_open(X0,X270) & topolo1002775350975398744n_open(X0,X219))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7145_connected__def)).
% 26.16/5.00 tff(f71000,plain,(
% 26.16/5.00 spl4009_816),
% 26.16/5.00 inference(avatar_split_clause,[],[f41770,f70998])).
% 26.16/5.00 tff(f70998,plain,(
% 26.16/5.00 spl4009_816 <=> ! [X0 : $tType] : (sP166(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_816])])).
% 26.16/5.00 tff(f41770,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP166(X0) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27632])).
% 26.16/5.00 tff(f27632,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP166(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f21125,f27631,f27630])).
% 26.16/5.00 tff(f21125,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> ! [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) | bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) | bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) | ~topolo7761053866217962861closed(X0,X3) | ~topolo7761053866217962861closed(X0,X2))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12249])).
% 26.16/5.00 tff(f12249,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> ~? [X2 : set(X0),X3 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X1) & bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X1) & bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X2),X3)),X1) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X2),X3))) & topolo7761053866217962861closed(X0,X3) & topolo7761053866217962861closed(X0,X2))))),
% 26.16/5.00 inference(rectify,[],[f7147])).
% 26.16/5.00 tff(f7147,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X60 : set(X0)] : (topolo1966860045006549960nected(X0,X60) <=> ~? [X219 : set(X0),X270 : set(X0)] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X270),X60) & bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X219),X60) & bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X219),X270)),X60) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X60),aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),sup_sup(set(X0)),X219),X270))) & topolo7761053866217962861closed(X0,X270) & topolo7761053866217962861closed(X0,X219))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7146_connected__closed)).
% 26.16/5.00 tff(f70996,plain,(
% 26.16/5.00 spl4009_815),
% 26.16/5.00 inference(avatar_split_clause,[],[f41760,f70994])).
% 26.16/5.00 tff(f70994,plain,(
% 26.16/5.00 spl4009_815 <=> ! [X0 : $tType] : (sP164(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_815])])).
% 26.16/5.00 tff(f41760,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP164(X0) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27629])).
% 26.16/5.00 tff(f27629,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP164(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f21124,f27628,f27627,f27626])).
% 26.16/5.00 tff(f27626,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (sP162(X0,X1,X2) <=> ? [X4 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4)) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP162])])).
% 26.16/5.00 tff(f27627,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0)] : (sP163(X0,X1) <=> ! [X2 : set(set(X0))] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X2)) | sP162(X0,X1,X2) | ? [X3 : set(X0)] : (~topolo7761053866217962861closed(X0,X3) & pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP163])])).
% 26.16/5.00 tff(f21124,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X2)) | ? [X4 : set(set(X0))] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4)) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2))) | ? [X3 : set(X0)] : (~topolo7761053866217962861closed(X0,X3) & pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2))))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(flattening,[],[f21123])).
% 26.16/5.00 tff(f21123,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : ((bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X2)) | ? [X4 : set(set(X0))] : ((bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4))) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2)))) | ? [X3 : set(X0)] : (~topolo7761053866217962861closed(X0,X3) & pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2))))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12248])).
% 26.16/5.00 tff(f12248,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (! [X3 : set(X0)] : (pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2)) => topolo7761053866217962861closed(X0,X3)) => (! [X4 : set(set(X0))] : (pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2)) => (pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4)) => bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X4)))) => bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X2))))))),
% 26.16/5.00 inference(rectify,[],[f5692])).
% 26.16/5.00 tff(f5692,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X280 : set(X0)] : (topolo2193935891317330818ompact(X0,X280) <=> ! [X219 : set(set(X0))] : (! [X38 : set(X0)] : (pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X38),X219)) => topolo7761053866217962861closed(X0,X38)) => (! [X270 : set(set(X0))] : (pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X270),X219)) => (pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X270)) => bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X280),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X270)))) => bot_bot(set(X0)) != aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X280),aa(set(set(X0)),set(X0),complete_Inf_Inf(set(X0)),X219))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5691_compact__fip)).
% 26.16/5.00 tff(f70992,plain,(
% 26.16/5.00 spl4009_814),
% 26.16/5.00 inference(avatar_split_clause,[],[f41748,f70990])).
% 26.16/5.00 tff(f70990,plain,(
% 26.16/5.00 spl4009_814 <=> ! [X0 : $tType] : (sP161(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_814])])).
% 26.16/5.00 tff(f41748,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP161(X0) | ~topolo4958980785337419405_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27625])).
% 26.16/5.00 tff(f27625,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP161(X0) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f21122,f27624,f27623,f27622])).
% 26.16/5.00 tff(f27622,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0),X2 : set(set(X0))] : (sP159(X0,X1,X2) <=> ? [X4 : set(set(X0))] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4)) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP159])])).
% 26.16/5.00 tff(f27623,plain,(
% 26.16/5.00 ! [X1 : set(X0),X0 : $tType] : (sP160(X0,X1) <=> ! [X2 : set(set(X0))] : (sP159(X0,X1,X2) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) | ? [X3 : set(X0)] : (~topolo1002775350975398744n_open(X0,X3) & pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP160])])).
% 26.16/5.00 tff(f21122,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4)) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) | ? [X3 : set(X0)] : (~topolo1002775350975398744n_open(X0,X3) & pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2))))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(flattening,[],[f21121])).
% 26.16/5.00 tff(f21121,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : (? [X4 : set(set(X0))] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4)) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2))) | (~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) | ? [X3 : set(X0)] : (~topolo1002775350975398744n_open(X0,X3) & pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2)))))) | ~topolo4958980785337419405_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12247])).
% 26.16/5.00 tff(f12247,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X1 : set(X0)] : (topolo2193935891317330818ompact(X0,X1) <=> ! [X2 : set(set(X0))] : ((pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X2))) & ! [X3 : set(X0)] : (pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X3),X2)) => topolo1002775350975398744n_open(X0,X3))) => ? [X4 : set(set(X0))] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X1),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X4))) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X4)) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X4),X2))))))),
% 26.16/5.00 inference(rectify,[],[f5522])).
% 26.16/5.00 tff(f5522,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo4958980785337419405_space(X0) => ! [X141 : set(X0)] : (topolo2193935891317330818ompact(X0,X141) <=> ! [X66 : set(set(X0))] : ((pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X141),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X66))) & ! [X38 : set(X0)] : (pp(aa(set(set(X0)),bool,aa(set(X0),fun(set(set(X0)),bool),member(set(X0)),X38),X66)) => topolo1002775350975398744n_open(X0,X38))) => ? [X388 : set(set(X0))] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X141),aa(set(set(X0)),set(X0),complete_Sup_Sup(set(X0)),X388))) & pp(aa(set(set(X0)),bool,finite_finite2(set(X0)),X388)) & pp(aa(set(set(X0)),bool,aa(set(set(X0)),fun(set(set(X0)),bool),ord_less_eq(set(set(X0))),X388),X66))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5521_compact__eq__Heine__Borel)).
% 26.16/5.00 tff(f70988,plain,(
% 26.16/5.00 spl4009_813),
% 26.16/5.00 inference(avatar_split_clause,[],[f41609,f70986])).
% 26.16/5.00 tff(f70986,plain,(
% 26.16/5.00 spl4009_813 <=> ! [X0 : $tType] : (sP156(X0) | ~topological_t2_space(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_813])])).
% 26.16/5.00 tff(f41609,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP156(X0) | ~topological_t2_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27617])).
% 26.16/5.00 tff(f27617,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP156(X0) | ~topological_t2_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20999,f27616,f27615])).
% 26.16/5.00 tff(f27615,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP155(X0,X2,X1) <=> ? [X3 : set(X0),X4 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X3)) & topolo1002775350975398744n_open(X0,X4) & topolo1002775350975398744n_open(X0,X3)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP155])])).
% 26.16/5.00 tff(f20999,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 != X2 <=> ? [X3 : set(X0),X4 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X3)) & topolo1002775350975398744n_open(X0,X4) & topolo1002775350975398744n_open(X0,X3))) | ~topological_t2_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f12169])).
% 26.16/5.00 tff(f12169,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topological_t2_space(X0) => ! [X1 : X0,X2 : X0] : (X1 != X2 <=> ? [X3 : set(X0),X4 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X3),X4) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X4)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X3)) & topolo1002775350975398744n_open(X0,X4) & topolo1002775350975398744n_open(X0,X3))))),
% 26.16/5.00 inference(rectify,[],[f5076])).
% 26.16/5.00 tff(f5076,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topological_t2_space(X0) => ! [X25 : X0,X28 : X0] : (X25 != X28 <=> ? [X364 : set(X0),X365 : set(X0)] : (bot_bot(set(X0)) = aa(set(X0),set(X0),aa(set(X0),fun(set(X0),set(X0)),inf_inf(set(X0)),X364),X365) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X28),X365)) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X25),X364)) & topolo1002775350975398744n_open(X0,X365) & topolo1002775350975398744n_open(X0,X364))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5075_separation__t2)).
% 26.16/5.00 tff(f70984,plain,(
% 26.16/5.00 spl4009_812),
% 26.16/5.00 inference(avatar_split_clause,[],[f40881,f70982])).
% 26.16/5.00 tff(f70982,plain,(
% 26.16/5.00 spl4009_812 <=> ! [X0 : $tType] : (sP146(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_812])])).
% 26.16/5.00 tff(f40881,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP146(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27598])).
% 26.16/5.00 tff(f27598,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP146(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20424,f27597,f27596])).
% 26.16/5.00 tff(f27596,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X2 : num] : (sP145(X0,X1,X2) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X1)) & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2)))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2)))) | zero_zero(nat) = aa(num,nat,numeral_numeral(nat),X2)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP145])])).
% 26.16/5.00 tff(f27597,plain,(
% 26.16/5.00 ! [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)))) <=> sP145(X0,X1,X2)) | ~sP146(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP146])])).
% 26.16/5.00 tff(f20424,plain,(
% 26.16/5.00 ! [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(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2)))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2)))) | zero_zero(nat) = aa(num,nat,numeral_numeral(nat),X2))) | ~linordered_idom(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f11699])).
% 26.16/5.00 tff(f11699,plain,(
% 26.16/5.00 ! [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(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2)))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X2)))) | zero_zero(nat) = aa(num,nat,numeral_numeral(nat),X2))))),
% 26.16/5.00 inference(rectify,[],[f1780])).
% 26.16/5.00 tff(f1780,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X19 : X0,X116 : 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),X19),aa(num,nat,numeral_numeral(nat),X116)))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X19)) & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X116)))) | (zero_zero(X0) != X19 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),aa(num,nat,numeral_numeral(nat),X116)))) | aa(num,nat,numeral_numeral(nat),X116) = zero_zero(nat))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1779_zero__less__power__eq__numeral)).
% 26.16/5.00 tff(f70980,plain,(
% 26.16/5.00 spl4009_811),
% 26.16/5.00 inference(avatar_split_clause,[],[f40855,f70978])).
% 26.16/5.00 tff(f70978,plain,(
% 26.16/5.00 spl4009_811 <=> ! [X0 : $tType] : (sP143(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_811])])).
% 26.16/5.00 tff(f40855,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP143(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27593])).
% 26.16/5.00 tff(f27593,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP143(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20420,f27592,f27591])).
% 26.16/5.00 tff(f27592,plain,(
% 26.16/5.00 ! [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))) <=> sP142(X0,X1,X2)) | ~sP143(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])])).
% 26.16/5.00 tff(f20420,plain,(
% 26.16/5.00 ! [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(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | zero_zero(nat) = X2)) | ~linordered_idom(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f11695])).
% 26.16/5.00 tff(f11695,plain,(
% 26.16/5.00 ! [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(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | (zero_zero(X0) != X1 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X2))) | zero_zero(nat) = X2)))),
% 26.16/5.00 inference(rectify,[],[f1852])).
% 26.16/5.00 tff(f1852,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X19 : X0,X35 : 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),X19),X35))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X19)) & ~pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X35))) | (zero_zero(X0) != X19 & pp(dvd_dvd(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),X35))) | zero_zero(nat) = X35)))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1851_zero__less__power__eq)).
% 26.16/5.00 tff(f70976,plain,(
% 26.16/5.00 spl4009_810),
% 26.16/5.00 inference(avatar_split_clause,[],[f40845,f70974])).
% 26.16/5.00 tff(f70974,plain,(
% 26.16/5.00 spl4009_810 <=> ! [X0 : $tType] : (sP141(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_810])])).
% 26.16/5.00 tff(f40845,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP141(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27590])).
% 26.16/5.00 tff(f27590,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP141(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20419,f27589,f27588])).
% 26.16/5.00 tff(f27588,plain,(
% 26.16/5.00 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP140(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])])).
% 26.16/5.00 tff(f27589,plain,(
% 26.16/5.00 ! [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)) <=> sP140(X0,X2,X1)) | ~sP141(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])])).
% 26.16/5.00 tff(f20419,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11694])).
% 26.16/5.00 tff(f11694,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f1234])).
% 26.16/5.00 tff(f1234,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X62 : X0,X19 : 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),X62),X19)),X62)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),one_one(X0)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1233_mult__le__cancel__left2)).
% 26.16/5.00 tff(f70972,plain,(
% 26.16/5.00 spl4009_809),
% 26.16/5.00 inference(avatar_split_clause,[],[f40836,f70970])).
% 26.16/5.00 tff(f70970,plain,(
% 26.16/5.00 spl4009_809 <=> ! [X0 : $tType] : (sP139(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_809])])).
% 26.16/5.00 tff(f40836,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP139(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27587])).
% 26.16/5.00 tff(f27587,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP139(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20418,f27586,f27585])).
% 26.16/5.00 tff(f27585,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X2 : X0] : (sP138(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])])).
% 26.16/5.00 tff(f27586,plain,(
% 26.16/5.00 ! [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)) <=> sP138(X0,X1,X2)) | ~sP139(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])])).
% 26.16/5.00 tff(f20418,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11693])).
% 26.16/5.00 tff(f11693,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f1236])).
% 26.16/5.00 tff(f1236,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X19 : X0,X62 : 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),X19),X62)),X62)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),one_one(X0)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1235_mult__le__cancel__right2)).
% 26.16/5.00 tff(f70968,plain,(
% 26.16/5.00 spl4009_808),
% 26.16/5.00 inference(avatar_split_clause,[],[f40827,f70966])).
% 26.16/5.00 tff(f70966,plain,(
% 26.16/5.00 spl4009_808 <=> ! [X0 : $tType] : (sP137(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_808])])).
% 26.16/5.00 tff(f40827,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP137(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27584])).
% 26.16/5.00 tff(f27584,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP137(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20417,f27583,f27582])).
% 26.16/5.00 tff(f27582,plain,(
% 26.16/5.00 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP136(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])])).
% 26.16/5.00 tff(f27583,plain,(
% 26.16/5.00 ! [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)) <=> sP136(X0,X2,X1)) | ~sP137(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])])).
% 26.16/5.00 tff(f20417,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11692])).
% 26.16/5.00 tff(f11692,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f1238])).
% 26.16/5.00 tff(f1238,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X62 : X0,X19 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X62),X19)),X62)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X19),one_one(X0)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1237_mult__less__cancel__left2)).
% 26.16/5.00 tff(f70964,plain,(
% 26.16/5.00 spl4009_807),
% 26.16/5.00 inference(avatar_split_clause,[],[f40818,f70962])).
% 26.16/5.00 tff(f70962,plain,(
% 26.16/5.00 spl4009_807 <=> ! [X0 : $tType] : (sP135(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_807])])).
% 26.16/5.00 tff(f40818,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP135(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27581])).
% 26.16/5.00 tff(f27581,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP135(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20416,f27580,f27579])).
% 26.16/5.00 tff(f27579,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X2 : X0] : (sP134(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])])).
% 26.16/5.00 tff(f27580,plain,(
% 26.16/5.00 ! [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)) <=> sP134(X0,X1,X2)) | ~sP135(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])])).
% 26.16/5.00 tff(f20416,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11691])).
% 26.16/5.00 tff(f11691,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f1240])).
% 26.16/5.00 tff(f1240,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X19 : X0,X62 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)),X62)) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X19),one_one(X0)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1239_mult__less__cancel__right2)).
% 26.16/5.00 tff(f70960,plain,(
% 26.16/5.00 spl4009_806),
% 26.16/5.00 inference(avatar_split_clause,[],[f40809,f70958])).
% 26.16/5.00 tff(f70958,plain,(
% 26.16/5.00 spl4009_806 <=> ! [X0 : $tType] : (sP133(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_806])])).
% 26.16/5.00 tff(f40809,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP133(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27578])).
% 26.16/5.00 tff(f27578,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP133(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20415,f27577,f27576])).
% 26.16/5.00 tff(f27576,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP132(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])])).
% 26.16/5.00 tff(f27577,plain,(
% 26.16/5.00 ! [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))) <=> sP132(X0,X2,X1)) | ~sP133(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])])).
% 26.16/5.00 tff(f20415,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11690])).
% 26.16/5.00 tff(f11690,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1235])).
% 26.16/5.00 tff(f1235,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X62 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X20),X62))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1234_mult__le__cancel__right1)).
% 26.16/5.00 tff(f70956,plain,(
% 26.16/5.00 spl4009_805),
% 26.16/5.00 inference(avatar_split_clause,[],[f40800,f70954])).
% 26.16/5.00 tff(f70954,plain,(
% 26.16/5.00 spl4009_805 <=> ! [X0 : $tType] : (sP131(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_805])])).
% 26.16/5.00 tff(f40800,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP131(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27575])).
% 26.16/5.00 tff(f27575,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP131(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20414,f27574,f27573])).
% 26.16/5.00 tff(f27573,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP130(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])])).
% 26.16/5.00 tff(f27574,plain,(
% 26.16/5.00 ! [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))) <=> sP130(X0,X2,X1)) | ~sP131(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])])).
% 26.16/5.00 tff(f20414,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11689])).
% 26.16/5.00 tff(f11689,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1233])).
% 26.16/5.00 tff(f1233,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X62 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X62),X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1232_mult__le__cancel__left1)).
% 26.16/5.00 tff(f70952,plain,(
% 26.16/5.00 spl4009_804),
% 26.16/5.00 inference(avatar_split_clause,[],[f40791,f70950])).
% 26.16/5.00 tff(f70950,plain,(
% 26.16/5.00 spl4009_804 <=> ! [X0 : $tType] : (sP129(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_804])])).
% 26.16/5.00 tff(f40791,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP129(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27572])).
% 26.16/5.00 tff(f27572,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP129(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20413,f27571,f27570])).
% 26.16/5.00 tff(f27570,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP128(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])])).
% 26.16/5.00 tff(f27571,plain,(
% 26.16/5.00 ! [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))) <=> sP128(X0,X2,X1)) | ~sP129(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])])).
% 26.16/5.00 tff(f20413,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11688])).
% 26.16/5.00 tff(f11688,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1239])).
% 26.16/5.00 tff(f1239,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X62 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X20),X62))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1238_mult__less__cancel__right1)).
% 26.16/5.00 tff(f70948,plain,(
% 26.16/5.00 spl4009_803),
% 26.16/5.00 inference(avatar_split_clause,[],[f40782,f70946])).
% 26.16/5.00 tff(f70946,plain,(
% 26.16/5.00 spl4009_803 <=> ! [X0 : $tType] : (sP127(X0) | ~linordered_idom(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_803])])).
% 26.16/5.00 tff(f40782,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP127(X0) | ~linordered_idom(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27569])).
% 26.16/5.00 tff(f27569,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP127(X0) | ~linordered_idom(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20412,f27568,f27567])).
% 26.16/5.00 tff(f27567,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP126(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])])).
% 26.16/5.00 tff(f27568,plain,(
% 26.16/5.00 ! [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))) <=> sP126(X0,X2,X1)) | ~sP127(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])])).
% 26.16/5.00 tff(f20412,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11687])).
% 26.16/5.00 tff(f11687,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1237])).
% 26.16/5.00 tff(f1237,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_idom(X0) => ! [X62 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X62),X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),one_one(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),one_one(X0)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1236_mult__less__cancel__left1)).
% 26.16/5.00 tff(f70944,plain,(
% 26.16/5.00 spl4009_802),
% 26.16/5.00 inference(avatar_split_clause,[],[f40436,f70942])).
% 26.16/5.00 tff(f70942,plain,(
% 26.16/5.00 spl4009_802 <=> ! [X0 : $tType] : (sP122(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_802])])).
% 26.16/5.00 tff(f40436,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP122(X0) | ~linord4710134922213307826strict(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27560])).
% 26.16/5.00 tff(f27560,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP122(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20153,f27559,f27558])).
% 26.16/5.00 tff(f27558,plain,(
% 26.16/5.00 ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP121(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])])).
% 26.16/5.00 tff(f27559,plain,(
% 26.16/5.00 ! [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))) <=> sP121(X0,X1,X3,X2)) | ~sP122(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])])).
% 26.16/5.00 tff(f20153,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11476])).
% 26.16/5.00 tff(f11476,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1172])).
% 26.16/5.00 tff(f1172,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X19 : X0,X62 : X0,X20 : 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),X19),X62)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X20),X62))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1171_mult__le__cancel__right)).
% 26.16/5.00 tff(f70940,plain,(
% 26.16/5.00 spl4009_801),
% 26.16/5.00 inference(avatar_split_clause,[],[f40427,f70938])).
% 26.16/5.00 tff(f70938,plain,(
% 26.16/5.00 spl4009_801 <=> ! [X0 : $tType] : (sP120(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_801])])).
% 26.16/5.00 tff(f40427,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP120(X0) | ~linord4710134922213307826strict(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27557])).
% 26.16/5.00 tff(f27557,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP120(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20152,f27556,f27555])).
% 26.16/5.00 tff(f27555,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP119(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])])).
% 26.16/5.00 tff(f27556,plain,(
% 26.16/5.00 ! [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))) <=> sP119(X0,X2,X3,X1)) | ~sP120(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])])).
% 26.16/5.00 tff(f20152,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11475])).
% 26.16/5.00 tff(f11475,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1171])).
% 26.16/5.00 tff(f1171,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X62 : X0,X19 : X0,X20 : 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),X62),X19)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X62),X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1170_mult__le__cancel__left)).
% 26.16/5.00 tff(f70936,plain,(
% 26.16/5.00 spl4009_800),
% 26.16/5.00 inference(avatar_split_clause,[],[f40418,f70934])).
% 26.16/5.00 tff(f70934,plain,(
% 26.16/5.00 spl4009_800 <=> ! [X0 : $tType] : (sP118(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_800])])).
% 26.16/5.00 tff(f40418,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP118(X0) | ~linord4710134922213307826strict(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27554])).
% 26.16/5.00 tff(f27554,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP118(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20151,f27553,f27552])).
% 26.16/5.00 tff(f27552,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X0 : $tType,X1 : X0] : (sP117(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])])).
% 26.16/5.00 tff(f27553,plain,(
% 26.16/5.00 ! [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))) <=> sP117(X0,X2,X3,X1)) | ~sP118(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])])).
% 26.16/5.00 tff(f20151,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11474])).
% 26.16/5.00 tff(f11474,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1175])).
% 26.16/5.00 tff(f1175,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X62 : X0,X19 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X62),X19)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X62),X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X19),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1174_mult__less__cancel__left)).
% 26.16/5.00 tff(f70932,plain,(
% 26.16/5.00 spl4009_799),
% 26.16/5.00 inference(avatar_split_clause,[],[f40409,f70930])).
% 26.16/5.00 tff(f70930,plain,(
% 26.16/5.00 spl4009_799 <=> ! [X0 : $tType] : (sP116(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_799])])).
% 26.16/5.00 tff(f40409,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP116(X0) | ~linord4710134922213307826strict(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27551])).
% 26.16/5.00 tff(f27551,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP116(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20150,f27550,f27549])).
% 26.16/5.00 tff(f27549,plain,(
% 26.16/5.00 ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP115(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])])).
% 26.16/5.00 tff(f27550,plain,(
% 26.16/5.00 ! [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))) <=> sP115(X0,X1,X3,X2)) | ~sP116(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])])).
% 26.16/5.00 tff(f20150,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11473])).
% 26.16/5.00 tff(f11473,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1178])).
% 26.16/5.00 tff(f1178,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X19 : X0,X62 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X20),X62))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X19),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1177_mult__less__cancel__right)).
% 26.16/5.00 tff(f70928,plain,(
% 26.16/5.00 spl4009_798),
% 26.16/5.00 inference(avatar_split_clause,[],[f40387,f70926])).
% 26.16/5.00 tff(f70926,plain,(
% 26.16/5.00 spl4009_798 <=> ! [X0 : $tType] : (sP114(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_798])])).
% 26.16/5.00 tff(f40387,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP114(X0) | ~linord4710134922213307826strict(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27548])).
% 26.16/5.00 tff(f27548,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP114(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20144,f27547,f27546])).
% 26.16/5.00 tff(f27546,plain,(
% 26.16/5.00 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP113(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])])).
% 26.16/5.00 tff(f27547,plain,(
% 26.16/5.00 ! [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))) <=> sP113(X0,X2,X1)) | ~sP114(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])])).
% 26.16/5.00 tff(f20144,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11467])).
% 26.16/5.00 tff(f11467,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1115])).
% 26.16/5.00 tff(f1115,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X19 : X0,X20 : 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),X19),X20)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X20)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1114_mult__le__0__iff)).
% 26.16/5.00 tff(f70924,plain,(
% 26.16/5.00 spl4009_797),
% 26.16/5.00 inference(avatar_split_clause,[],[f40378,f70922])).
% 26.16/5.00 tff(f70922,plain,(
% 26.16/5.00 spl4009_797 <=> ! [X0 : $tType] : (sP112(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_797])])).
% 26.16/5.00 tff(f40378,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP112(X0) | ~linord4710134922213307826strict(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27545])).
% 26.16/5.00 tff(f27545,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP112(X0) | ~linord4710134922213307826strict(X0))),
% 26.16/5.00 inference(definition_folding,[],[f20143,f27544,f27543])).
% 26.16/5.00 tff(f27543,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP111(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])])).
% 26.16/5.00 tff(f27544,plain,(
% 26.16/5.00 ! [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))) <=> sP111(X0,X2,X1)) | ~sP112(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])])).
% 26.16/5.00 tff(f20143,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11466])).
% 26.16/5.00 tff(f11466,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1109])).
% 26.16/5.00 tff(f1109,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linord4710134922213307826strict(X0) => ! [X19 : X0,X20 : 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),X19),X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X20)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1108_zero__le__mult__iff)).
% 26.16/5.00 tff(f70920,plain,(
% 26.16/5.00 spl4009_796),
% 26.16/5.00 inference(avatar_split_clause,[],[f40050,f70918])).
% 26.16/5.00 tff(f70918,plain,(
% 26.16/5.00 spl4009_796 <=> ! [X0 : $tType] : (sP108(X0) | ~bit_semiring_bits(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_796])])).
% 26.16/5.00 tff(f40050,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP108(X0) | ~bit_semiring_bits(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27539])).
% 26.16/5.00 tff(f27539,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP108(X0) | ~bit_semiring_bits(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19888,f27538,f27537])).
% 26.16/5.00 tff(f27537,plain,(
% 26.16/5.00 ! [X2 : nat,X3 : nat,X0 : $tType,X1 : X0] : (sP107(X0,X2,X3,X1) <=> ((pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,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),aa(num,num,bit0,one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])])).
% 26.16/5.00 tff(f27538,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : nat] : (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,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),aa(num,num,bit0,one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)))) <=> sP107(X0,X2,X3,X1)) | ~sP108(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])])).
% 26.16/5.00 tff(f19888,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : nat,X3 : nat] : (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,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),aa(num,num,bit0,one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)))) <=> ((pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,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),aa(num,num,bit0,one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))) | ~bit_semiring_bits(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f11229])).
% 26.16/5.00 tff(f11229,plain,(
% 26.16/5.00 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : nat,X3 : nat] : (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,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),aa(num,num,bit0,one2))),X2)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X3)))) <=> ((pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X1,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,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),aa(num,num,bit0,one2))),X3) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X3),X2)))))),
% 26.16/5.00 inference(rectify,[],[f1859])).
% 26.16/5.00 tff(f1859,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X19 : X0,X82 : nat,X35 : nat] : (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X82)),aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X35)))) <=> ((pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),divide_divide(X0,X19,aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X35),X82))))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X82),X35))) | aa(nat,X0,aa(X0,fun(nat,X0),power_power(X0),aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))),X35) = zero_zero(X0) | pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X35),X82)))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1858_even__mult__exp__div__exp__iff)).
% 26.16/5.00 tff(f70916,plain,(
% 26.16/5.00 spl4009_795),
% 26.16/5.00 inference(avatar_split_clause,[],[f40014,f70914])).
% 26.16/5.00 tff(f70914,plain,(
% 26.16/5.00 spl4009_795 <=> ! [X0 : $tType] : (sP105(X0) | ~bit_semiring_bits(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_795])])).
% 26.16/5.00 tff(f40014,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP105(X0) | ~bit_semiring_bits(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27534])).
% 26.16/5.00 tff(f27534,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP105(X0) | ~bit_semiring_bits(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19874,f27533,f27532])).
% 26.16/5.00 tff(f27532,plain,(
% 26.16/5.00 ! [X2 : nat,X0 : $tType,X1 : X0] : (sP104(X0,X2,X1) <=> ((pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)))) | zero_zero(nat) = X2) & (~pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) | zero_zero(nat) != X2)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])])).
% 26.16/5.00 tff(f27533,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X1),X2)) <=> sP104(X0,X2,X1)) | ~sP105(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])])).
% 26.16/5.00 tff(f19874,plain,(
% 26.16/5.00 ! [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),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat)))) | zero_zero(nat) = X2) & (~pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) | zero_zero(nat) != X2))) | ~bit_semiring_bits(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f11216])).
% 26.16/5.00 tff(f11216,plain,(
% 26.16/5.00 ! [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),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X2),one_one(nat))))) & (zero_zero(nat) = X2 => ~pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1))))))),
% 26.16/5.00 inference(rectify,[],[f2470])).
% 26.16/5.00 tff(f2470,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X19 : X0,X35 : nat] : (pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,X19),X35)) <=> ((zero_zero(nat) != X35 => pp(aa(nat,bool,bit_se5641148757651400278ts_bit(X0,divide_divide(X0,X19,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)))),aa(nat,nat,aa(nat,fun(nat,nat),minus_minus(nat),X35),one_one(nat))))) & (zero_zero(nat) = X35 => ~pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2469_bit__rec)).
% 26.16/5.00 tff(f70912,plain,(
% 26.16/5.00 spl4009_794),
% 26.16/5.00 inference(avatar_split_clause,[],[f40001,f70910])).
% 26.16/5.00 tff(f70910,plain,(
% 26.16/5.00 spl4009_794 <=> ! [X0 : $tType] : (sP103(X0) | ~bit_semiring_bits(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_794])])).
% 26.16/5.00 tff(f40001,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP103(X0) | ~bit_semiring_bits(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27531])).
% 26.16/5.00 tff(f27531,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP103(X0) | ~bit_semiring_bits(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19871,f27530,f27529])).
% 26.16/5.00 tff(f27529,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : X0,X2 : X0] : (sP102(X0,X1,X2) <=> (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) & (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) <=> pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X2)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])])).
% 26.16/5.00 tff(f19871,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (X1 = X2 <=> (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) & (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) <=> pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X2))))) | ~bit_semiring_bits(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f11213])).
% 26.16/5.00 tff(f11213,plain,(
% 26.16/5.00 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X1 : X0,X2 : X0] : (X1 = X2 <=> (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) & (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X1)) <=> pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X2))))))),
% 26.16/5.00 inference(rectify,[],[f1819])).
% 26.16/5.00 tff(f1819,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (bit_semiring_bits(X0) => ! [X19 : X0,X20 : X0] : (X19 = X20 <=> (divide_divide(X0,X19,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) = divide_divide(X0,X20,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2))) & (pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X19)) <=> pp(dvd_dvd(X0,aa(num,X0,numeral_numeral(X0),aa(num,num,bit0,one2)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1818_bit__eq__rec)).
% 26.16/5.00 tff(f70908,plain,(
% 26.16/5.00 spl4009_793),
% 26.16/5.00 inference(avatar_split_clause,[],[f39958,f70906])).
% 26.16/5.00 tff(f70906,plain,(
% 26.16/5.00 spl4009_793 <=> ! [X0 : $tType] : (sP100(X0) | ~division_ring(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_793])])).
% 26.16/5.00 tff(f39958,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP100(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27526])).
% 26.16/5.00 tff(f27526,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP100(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19846,f27525,f27524])).
% 26.16/5.00 tff(f27524,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X3 : num,X2 : X0] : (sP99(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])])).
% 26.16/5.00 tff(f27525,plain,(
% 26.16/5.00 ! [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 <=> sP99(X0,X1,X3,X2)) | ~sP100(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])])).
% 26.16/5.00 tff(f19846,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11193])).
% 26.16/5.00 tff(f11193,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f1990])).
% 26.16/5.00 tff(f1990,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X19 : X0,X20 : X0,X116 : num] : (divide_divide(X0,X20,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))) = X19 <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)) => zero_zero(X0) = X19) & (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1989_eq__divide__eq__numeral1_I2_J)).
% 26.16/5.00 tff(f70904,plain,(
% 26.16/5.00 spl4009_792),
% 26.16/5.00 inference(avatar_split_clause,[],[f39949,f70902])).
% 26.16/5.00 tff(f70902,plain,(
% 26.16/5.00 spl4009_792 <=> ! [X0 : $tType] : (sP98(X0) | ~division_ring(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_792])])).
% 26.16/5.00 tff(f39949,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP98(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27523])).
% 26.16/5.00 tff(f27523,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP98(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19845,f27522,f27521])).
% 26.16/5.00 tff(f27521,plain,(
% 26.16/5.00 ! [X3 : X0,X0 : $tType,X2 : num,X1 : X0] : (sP97(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])])).
% 26.16/5.00 tff(f27522,plain,(
% 26.16/5.00 ! [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 <=> sP97(X0,X3,X2,X1)) | ~sP98(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])])).
% 26.16/5.00 tff(f19845,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11192])).
% 26.16/5.00 tff(f11192,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f1991])).
% 26.16/5.00 tff(f1991,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X20 : X0,X116 : num,X19 : X0] : (divide_divide(X0,X20,aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))) = X19 <=> ((zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)) => zero_zero(X0) = X19) & (zero_zero(X0) != aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1990_divide__eq__eq__numeral1_I2_J)).
% 26.16/5.00 tff(f70900,plain,(
% 26.16/5.00 spl4009_791),
% 26.16/5.00 inference(avatar_split_clause,[],[f39940,f70898])).
% 26.16/5.00 tff(f39940,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP96(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27520])).
% 26.16/5.00 tff(f27520,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP96(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19844,f27519,f27518])).
% 26.16/5.00 tff(f27518,plain,(
% 26.16/5.00 ! [X1 : num,X0 : $tType,X3 : X0,X2 : X0] : (sP95(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)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])])).
% 26.16/5.00 tff(f27519,plain,(
% 26.16/5.00 ! [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) <=> sP95(X0,X1,X3,X2)) | ~sP96(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])])).
% 26.16/5.00 tff(f19844,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11191])).
% 26.16/5.00 tff(f11191,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f2132])).
% 26.16/5.00 tff(f2132,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X116 : num,X20 : X0,X62 : X0] : (divide_divide(X0,X20,X62) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)) <=> ((zero_zero(X0) = X62 => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))) & (zero_zero(X0) != X62 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))),X62) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2131_eq__divide__eq__numeral_I2_J)).
% 26.16/5.00 tff(f70896,plain,(
% 26.16/5.00 spl4009_790),
% 26.16/5.00 inference(avatar_split_clause,[],[f39931,f70894])).
% 26.16/5.00 tff(f39931,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP94(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27517])).
% 26.16/5.00 tff(f27517,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP94(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19843,f27516,f27515])).
% 26.16/5.00 tff(f27515,plain,(
% 26.16/5.00 ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP93(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)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])])).
% 26.16/5.00 tff(f27516,plain,(
% 26.16/5.00 ! [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)) <=> sP93(X0,X3,X2,X1)) | ~sP94(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])])).
% 26.16/5.00 tff(f19843,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11190])).
% 26.16/5.00 tff(f11190,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f2133])).
% 26.16/5.00 tff(f2133,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X20 : X0,X62 : X0,X116 : num] : (divide_divide(X0,X20,X62) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)) <=> ((zero_zero(X0) = X62 => zero_zero(X0) = aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))) & (zero_zero(X0) != X62 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))),X62) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2132_divide__eq__eq__numeral_I2_J)).
% 26.16/5.00 tff(f70892,plain,(
% 26.16/5.00 spl4009_789),
% 26.16/5.00 inference(avatar_split_clause,[],[f39922,f70890])).
% 26.16/5.00 tff(f39922,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP92(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27514])).
% 26.16/5.00 tff(f27514,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP92(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19842,f27513,f27512])).
% 26.16/5.00 tff(f27512,plain,(
% 26.16/5.00 ! [X1 : X0,X0 : $tType,X3 : num,X2 : X0] : (sP91(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))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])])).
% 26.16/5.00 tff(f27513,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (divide_divide(X0,X2,aa(num,X0,numeral_numeral(X0),X3)) = X1 <=> sP91(X0,X1,X3,X2)) | ~sP92(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])])).
% 26.16/5.00 tff(f19842,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11189])).
% 26.16/5.00 tff(f11189,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f1008])).
% 26.16/5.00 tff(f1008,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X19 : X0,X20 : X0,X116 : num] : (divide_divide(X0,X20,aa(num,X0,numeral_numeral(X0),X116)) = X19 <=> ((aa(num,X0,numeral_numeral(X0),X116) = zero_zero(X0) => zero_zero(X0) = X19) & (aa(num,X0,numeral_numeral(X0),X116) != zero_zero(X0) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),aa(num,X0,numeral_numeral(X0),X116)) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1007_eq__divide__eq__numeral1_I1_J)).
% 26.16/5.00 tff(f70888,plain,(
% 26.16/5.00 spl4009_788),
% 26.16/5.00 inference(avatar_split_clause,[],[f39913,f70886])).
% 26.16/5.00 tff(f39913,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP90(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27511])).
% 26.16/5.00 tff(f27511,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP90(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19841,f27510,f27509])).
% 26.16/5.00 tff(f27509,plain,(
% 26.16/5.00 ! [X3 : X0,X0 : $tType,X2 : num,X1 : X0] : (sP89(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))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])])).
% 26.16/5.00 tff(f27510,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : num,X3 : X0] : (divide_divide(X0,X1,aa(num,X0,numeral_numeral(X0),X2)) = X3 <=> sP89(X0,X3,X2,X1)) | ~sP90(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])])).
% 26.16/5.00 tff(f19841,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11188])).
% 26.16/5.00 tff(f11188,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f1007])).
% 26.16/5.00 tff(f1007,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X20 : X0,X116 : num,X19 : X0] : (divide_divide(X0,X20,aa(num,X0,numeral_numeral(X0),X116)) = X19 <=> ((aa(num,X0,numeral_numeral(X0),X116) = zero_zero(X0) => zero_zero(X0) = X19) & (aa(num,X0,numeral_numeral(X0),X116) != zero_zero(X0) => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),aa(num,X0,numeral_numeral(X0),X116)) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1006_divide__eq__eq__numeral1_I1_J)).
% 26.16/5.00 tff(f70884,plain,(
% 26.16/5.00 spl4009_787),
% 26.16/5.00 inference(avatar_split_clause,[],[f39904,f70882])).
% 26.16/5.00 tff(f39904,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP88(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27508])).
% 26.16/5.00 tff(f27508,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP88(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19840,f27507,f27506])).
% 26.16/5.00 tff(f27506,plain,(
% 26.16/5.00 ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP87(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)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])])).
% 26.16/5.00 tff(f27507,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (aa(num,X0,numeral_numeral(X0),X3) = divide_divide(X0,X1,X2) <=> sP87(X0,X3,X2,X1)) | ~sP88(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])])).
% 26.16/5.00 tff(f19840,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : num] : (aa(num,X0,numeral_numeral(X0),X3) = divide_divide(X0,X1,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))) | ~division_ring(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f11187])).
% 26.16/5.00 tff(f11187,plain,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X1 : X0,X2 : X0,X3 : num] : (aa(num,X0,numeral_numeral(X0),X3) = divide_divide(X0,X1,X2) <=> ((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))))),
% 26.16/5.00 inference(rectify,[],[f1205])).
% 26.16/5.00 tff(f1205,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X20 : X0,X62 : X0,X116 : num] : (aa(num,X0,numeral_numeral(X0),X116) = divide_divide(X0,X20,X62) <=> ((zero_zero(X0) = X62 => aa(num,X0,numeral_numeral(X0),X116) = zero_zero(X0)) & (zero_zero(X0) != X62 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X116)),X62) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1204_divide__eq__eq__numeral_I1_J)).
% 26.16/5.00 tff(f70880,plain,(
% 26.16/5.00 spl4009_786),
% 26.16/5.00 inference(avatar_split_clause,[],[f39895,f70878])).
% 26.16/5.00 tff(f39895,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP86(X0) | ~division_ring(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27505])).
% 26.16/5.00 tff(f27505,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP86(X0) | ~division_ring(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19839,f27504,f27503])).
% 26.16/5.00 tff(f27503,plain,(
% 26.16/5.00 ! [X1 : num,X0 : $tType,X3 : X0,X2 : X0] : (sP85(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)))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])])).
% 26.16/5.00 tff(f27504,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : num,X2 : X0,X3 : X0] : (aa(num,X0,numeral_numeral(X0),X1) = divide_divide(X0,X2,X3) <=> sP85(X0,X1,X3,X2)) | ~sP86(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])])).
% 26.16/5.00 tff(f19839,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f11186])).
% 26.16/5.00 tff(f11186,plain,(
% 26.16/5.00 ! [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))))),
% 26.16/5.00 inference(rectify,[],[f1206])).
% 26.16/5.00 tff(f1206,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (division_ring(X0) => ! [X116 : num,X20 : X0,X62 : X0] : (aa(num,X0,numeral_numeral(X0),X116) = divide_divide(X0,X20,X62) <=> ((zero_zero(X0) = X62 => aa(num,X0,numeral_numeral(X0),X116) = zero_zero(X0)) & (zero_zero(X0) != X62 => aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X116)),X62) = X20))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1205_eq__divide__eq__numeral_I1_J)).
% 26.16/5.00 tff(f70876,plain,(
% 26.16/5.00 spl4009_785),
% 26.16/5.00 inference(avatar_split_clause,[],[f39591,f70874])).
% 26.16/5.00 tff(f39591,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP84(X0) | ~real_V822414075346904944vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27502])).
% 26.16/5.00 tff(f27502,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP84(X0) | ~real_V822414075346904944vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19592,f27501,f27500])).
% 26.16/5.00 tff(f27500,plain,(
% 26.16/5.00 ! [X1 : fun(nat,X0),X0 : $tType] : (sP83(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))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])])).
% 26.16/5.00 tff(f19592,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10975])).
% 26.16/5.00 tff(f10975,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f3804])).
% 26.16/5.00 tff(f3804,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V822414075346904944vector(X0) => ! [X61 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X61) <=> ! [X262 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X262)) => ? [X263 : nat] : ! [X119 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X263),X119)) => ! [X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X263),X118)) => 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,X61,X119)),aa(nat,X0,X61,X118)))),X262)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3803_Cauchy__iff)).
% 26.16/5.00 tff(f70872,plain,(
% 26.16/5.00 spl4009_784),
% 26.16/5.00 inference(avatar_split_clause,[],[f39492,f70870])).
% 26.16/5.00 tff(f39492,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP82(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27499])).
% 26.16/5.00 tff(f27499,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP82(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19507,f27498,f27497,f27496])).
% 26.16/5.00 tff(f27496,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP80(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])])).
% 26.16/5.00 tff(f27497,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP81(X0,X2,X3,X1) <=> ((sP80(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])])).
% 26.16/5.00 tff(f27498,plain,(
% 26.16/5.00 ! [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))) <=> sP81(X0,X2,X3,X1)) | ~sP82(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])])).
% 26.16/5.00 tff(f19507,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10913])).
% 26.16/5.00 tff(f10913,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f2177])).
% 26.16/5.00 tff(f2177,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X116 : num,X20 : X0,X62 : 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),X116))),divide_divide(X0,X20,X62))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116))),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))),X62)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => 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),X116))),X62)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2176_le__divide__eq__numeral_I2_J)).
% 26.16/5.00 tff(f70868,plain,(
% 26.16/5.00 spl4009_783),
% 26.16/5.00 inference(avatar_split_clause,[],[f39477,f70866])).
% 26.16/5.00 tff(f39477,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP79(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27495])).
% 26.16/5.00 tff(f27495,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP79(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19506,f27494,f27493,f27492])).
% 26.16/5.00 tff(f27492,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP77(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])])).
% 26.16/5.00 tff(f27493,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP78(X0,X2,X3,X1) <=> ((sP77(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])])).
% 26.16/5.00 tff(f27494,plain,(
% 26.16/5.00 ! [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))) <=> sP78(X0,X2,X3,X1)) | ~sP79(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])])).
% 26.16/5.00 tff(f19506,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10912])).
% 26.16/5.00 tff(f10912,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f2159])).
% 26.16/5.00 tff(f2159,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X116 : num,X20 : X0,X62 : 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),X116))),divide_divide(X0,X20,X62))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116))),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))),X62)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => 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),X116))),X62)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2158_less__divide__eq__numeral_I2_J)).
% 26.16/5.00 tff(f70864,plain,(
% 26.16/5.00 spl4009_782),
% 26.16/5.00 inference(avatar_split_clause,[],[f39462,f70862])).
% 26.16/5.00 tff(f39462,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP76(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27491])).
% 26.16/5.00 tff(f27491,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP76(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19505,f27490,f27489,f27488])).
% 26.16/5.00 tff(f27488,plain,(
% 26.16/5.00 ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP74(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])])).
% 26.16/5.00 tff(f27489,plain,(
% 26.16/5.00 ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP75(X0,X1,X2,X3) <=> ((sP74(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])])).
% 26.16/5.00 tff(f27490,plain,(
% 26.16/5.00 ! [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)))) <=> sP75(X0,X1,X2,X3)) | ~sP76(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])])).
% 26.16/5.00 tff(f19505,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10911])).
% 26.16/5.00 tff(f10911,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f2176])).
% 26.16/5.00 tff(f2176,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X62 : X0,X116 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X20,X62)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116))),X62)),X20))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))),X62)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2175_divide__le__eq__numeral_I2_J)).
% 26.16/5.00 tff(f70860,plain,(
% 26.16/5.00 spl4009_781),
% 26.16/5.00 inference(avatar_split_clause,[],[f39447,f70858])).
% 26.16/5.00 tff(f39447,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP73(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27487])).
% 26.16/5.00 tff(f27487,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP73(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19504,f27486,f27485,f27484])).
% 26.16/5.00 tff(f27484,plain,(
% 26.16/5.00 ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP71(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])])).
% 26.16/5.00 tff(f27485,plain,(
% 26.16/5.00 ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP72(X0,X1,X2,X3) <=> ((sP71(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])])).
% 26.16/5.00 tff(f27486,plain,(
% 26.16/5.00 ! [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)))) <=> sP72(X0,X1,X2,X3)) | ~sP73(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])])).
% 26.16/5.00 tff(f19504,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10910])).
% 26.16/5.00 tff(f10910,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f2158])).
% 26.16/5.00 tff(f2158,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X62 : X0,X116 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X20,X62)),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116))),X62)),X20))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(X0,X0,uminus_uminus(X0),aa(num,X0,numeral_numeral(X0),X116))),X62)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2157_divide__less__eq__numeral_I2_J)).
% 26.16/5.00 tff(f70856,plain,(
% 26.16/5.00 spl4009_780),
% 26.16/5.00 inference(avatar_split_clause,[],[f39428,f70854])).
% 26.16/5.00 tff(f39428,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP70(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27483])).
% 26.16/5.00 tff(f27483,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP70(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19501,f27482,f27481,f27480])).
% 26.16/5.00 tff(f27480,plain,(
% 26.16/5.00 ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP68(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])])).
% 26.16/5.00 tff(f27481,plain,(
% 26.16/5.00 ! [X1 : X0,X2 : X0,X3 : X0,X0 : $tType] : (sP69(X0,X1,X2,X3) <=> ((sP68(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])])).
% 26.16/5.00 tff(f27482,plain,(
% 26.16/5.00 ! [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)) <=> sP69(X0,X1,X2,X3)) | ~sP70(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])])).
% 26.16/5.00 tff(f19501,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10907])).
% 26.16/5.00 tff(f10907,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f2156])).
% 26.16/5.00 tff(f2156,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X62 : X0,X19 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X20,X62))),X19)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X19),X62)),aa(X0,X0,uminus_uminus(X0),X20)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X20)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2155_minus__divide__le__eq)).
% 26.16/5.00 tff(f70852,plain,(
% 26.16/5.00 spl4009_779),
% 26.16/5.00 inference(avatar_split_clause,[],[f39413,f70850])).
% 26.16/5.00 tff(f39413,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP67(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27479])).
% 26.16/5.00 tff(f27479,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP67(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19500,f27478,f27477,f27476])).
% 26.16/5.00 tff(f27476,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (sP65(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])])).
% 26.16/5.00 tff(f27477,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X1 : X0,X0 : $tType] : (sP66(X0,X2,X3,X1) <=> ((sP65(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])])).
% 26.16/5.00 tff(f27478,plain,(
% 26.16/5.00 ! [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)))) <=> sP66(X0,X2,X3,X1)) | ~sP67(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])])).
% 26.16/5.00 tff(f19500,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10906])).
% 26.16/5.00 tff(f10906,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f2157])).
% 26.16/5.00 tff(f2157,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X19 : X0,X20 : X0,X62 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),aa(X0,X0,uminus_uminus(X0),divide_divide(X0,X20,X62)))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,uminus_uminus(X0),X20)),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)),aa(X0,X0,uminus_uminus(X0),X20)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2156_le__minus__divide__eq)).
% 26.16/5.00 tff(f70848,plain,(
% 26.16/5.00 spl4009_778),
% 26.16/5.00 inference(avatar_split_clause,[],[f39394,f70846])).
% 26.16/5.00 tff(f39394,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP64(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27475])).
% 26.16/5.00 tff(f27475,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP64(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19497,f27474,f27473,f27472])).
% 26.16/5.00 tff(f27472,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP62(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])])).
% 26.16/5.00 tff(f27473,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP63(X0,X2,X3,X1) <=> ((sP62(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])])).
% 26.16/5.00 tff(f27474,plain,(
% 26.16/5.00 ! [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))) <=> sP63(X0,X2,X3,X1)) | ~sP64(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])])).
% 26.16/5.00 tff(f19497,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10903])).
% 26.16/5.00 tff(f10903,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1268])).
% 26.16/5.00 tff(f1268,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X116 : num,X20 : X0,X62 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X116)),divide_divide(X0,X20,X62))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(num,X0,numeral_numeral(X0),X116)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X116)),X62)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => 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),X116)),X62)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1267_le__divide__eq__numeral_I1_J)).
% 26.16/5.00 tff(f70844,plain,(
% 26.16/5.00 spl4009_777),
% 26.16/5.00 inference(avatar_split_clause,[],[f39379,f70842])).
% 26.16/5.00 tff(f39379,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP61(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27471])).
% 26.16/5.00 tff(f27471,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP61(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19496,f27470,f27469,f27468])).
% 26.16/5.00 tff(f27468,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : num,X3 : X0,X2 : X0] : (sP59(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])])).
% 26.16/5.00 tff(f27469,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X1 : num,X0 : $tType] : (sP60(X0,X2,X3,X1) <=> ((sP59(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])])).
% 26.16/5.00 tff(f27470,plain,(
% 26.16/5.00 ! [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))) <=> sP60(X0,X2,X3,X1)) | ~sP61(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])])).
% 26.16/5.00 tff(f19496,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10902])).
% 26.16/5.00 tff(f10902,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1242])).
% 26.16/5.00 tff(f1242,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X116 : num,X20 : X0,X62 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X116)),divide_divide(X0,X20,X62))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(num,X0,numeral_numeral(X0),X116)),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X116)),X62)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => 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),X116)),X62)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1241_less__divide__eq__numeral_I1_J)).
% 26.16/5.00 tff(f70840,plain,(
% 26.16/5.00 spl4009_776),
% 26.16/5.00 inference(avatar_split_clause,[],[f39364,f70838])).
% 26.16/5.00 tff(f39364,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP58(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27467])).
% 26.16/5.00 tff(f27467,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP58(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19495,f27466,f27465,f27464])).
% 26.16/5.00 tff(f27464,plain,(
% 26.16/5.00 ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP56(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])])).
% 26.16/5.00 tff(f27465,plain,(
% 26.16/5.00 ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP57(X0,X1,X2,X3) <=> ((sP56(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])])).
% 26.16/5.00 tff(f27466,plain,(
% 26.16/5.00 ! [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))) <=> sP57(X0,X1,X2,X3)) | ~sP58(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])])).
% 26.16/5.00 tff(f19495,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10901])).
% 26.16/5.00 tff(f10901,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f1269])).
% 26.16/5.00 tff(f1269,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X62 : X0,X116 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X20,X62)),aa(num,X0,numeral_numeral(X0),X116))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116)),X62)),X20))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X116)),X62)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1268_divide__le__eq__numeral_I1_J)).
% 26.16/5.00 tff(f70836,plain,(
% 26.16/5.00 spl4009_775),
% 26.16/5.00 inference(avatar_split_clause,[],[f39349,f70834])).
% 26.16/5.00 tff(f39349,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP55(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27463])).
% 26.16/5.00 tff(f27463,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP55(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19494,f27462,f27461,f27460])).
% 26.16/5.00 tff(f27460,plain,(
% 26.16/5.00 ! [X3 : num,X0 : $tType,X2 : X0,X1 : X0] : (sP53(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])])).
% 26.16/5.00 tff(f27461,plain,(
% 26.16/5.00 ! [X1 : X0,X2 : X0,X3 : num,X0 : $tType] : (sP54(X0,X1,X2,X3) <=> ((sP53(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])])).
% 26.16/5.00 tff(f27462,plain,(
% 26.16/5.00 ! [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))) <=> sP54(X0,X1,X2,X3)) | ~sP55(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])])).
% 26.16/5.00 tff(f19494,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10900])).
% 26.16/5.00 tff(f10900,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f1243])).
% 26.16/5.00 tff(f1243,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X62 : X0,X116 : num] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),divide_divide(X0,X20,X62)),aa(num,X0,numeral_numeral(X0),X116))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),aa(num,X0,numeral_numeral(X0),X116)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X116)),X62)),X20))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),aa(num,X0,numeral_numeral(X0),X116)),X62)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1242_divide__less__eq__numeral_I1_J)).
% 26.16/5.00 tff(f70832,plain,(
% 26.16/5.00 spl4009_774),
% 26.16/5.00 inference(avatar_split_clause,[],[f39330,f70830])).
% 26.16/5.00 tff(f39330,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP52(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27459])).
% 26.16/5.00 tff(f27459,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP52(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19491,f27458,f27457])).
% 26.16/5.00 tff(f27457,plain,(
% 26.16/5.00 ! [X1 : X0,X3 : X0,X0 : $tType,X2 : X0] : (sP51(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])])).
% 26.16/5.00 tff(f27458,plain,(
% 26.16/5.00 ! [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))) <=> sP51(X0,X1,X3,X2)) | ~sP52(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])])).
% 26.16/5.00 tff(f19491,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10897])).
% 26.16/5.00 tff(f10897,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1401])).
% 26.16/5.00 tff(f1401,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X19 : X0,X62 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X19,X62)),divide_divide(X0,X20,X62))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1400_divide__le__cancel)).
% 26.16/5.00 tff(f70828,plain,(
% 26.16/5.00 spl4009_773),
% 26.16/5.00 inference(avatar_split_clause,[],[f39321,f70826])).
% 26.16/5.00 tff(f39321,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP50(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27456])).
% 26.16/5.00 tff(f27456,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP50(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19490,f27455,f27454,f27453])).
% 26.16/5.00 tff(f27453,plain,(
% 26.16/5.00 ! [X3 : X0,X0 : $tType,X2 : X0,X1 : X0] : (sP48(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])])).
% 26.16/5.00 tff(f27454,plain,(
% 26.16/5.00 ! [X1 : X0,X2 : X0,X3 : X0,X0 : $tType] : (sP49(X0,X1,X2,X3) <=> ((sP48(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])])).
% 26.16/5.00 tff(f27455,plain,(
% 26.16/5.00 ! [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)) <=> sP49(X0,X1,X2,X3)) | ~sP50(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])])).
% 26.16/5.00 tff(f19490,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10896])).
% 26.16/5.00 tff(f10896,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f1430])).
% 26.16/5.00 tff(f1430,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X62 : X0,X19 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X20,X62)),X19)) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X19))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),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),X19),X62)),X20))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1429_divide__le__eq)).
% 26.16/5.00 tff(f70824,plain,(
% 26.16/5.00 spl4009_772),
% 26.16/5.00 inference(avatar_split_clause,[],[f39306,f70822])).
% 26.16/5.00 tff(f39306,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP47(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27452])).
% 26.16/5.00 tff(f27452,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP47(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19489,f27451,f27450,f27449])).
% 26.16/5.00 tff(f27449,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : X0,X3 : X0,X2 : X0] : (sP45(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])])).
% 26.16/5.00 tff(f27450,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X1 : X0,X0 : $tType] : (sP46(X0,X2,X3,X1) <=> ((sP45(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])])).
% 26.16/5.00 tff(f27451,plain,(
% 26.16/5.00 ! [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))) <=> sP46(X0,X2,X3,X1)) | ~sP47(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])])).
% 26.16/5.00 tff(f19489,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10895])).
% 26.16/5.00 tff(f10895,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1429])).
% 26.16/5.00 tff(f1429,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X19 : X0,X20 : X0,X62 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),divide_divide(X0,X20,X62))) <=> ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => ((~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),zero_zero(X0)))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X62),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)))))) & (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X62)),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1428_le__divide__eq)).
% 26.16/5.00 tff(f70820,plain,(
% 26.16/5.00 spl4009_771),
% 26.16/5.00 inference(avatar_split_clause,[],[f39244,f70818])).
% 26.16/5.00 tff(f39244,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP44(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27448])).
% 26.16/5.00 tff(f27448,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP44(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19444,f27447,f27446])).
% 26.16/5.00 tff(f27446,plain,(
% 26.16/5.00 ! [X2 : X0,X1 : X0,X0 : $tType] : (sP43(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])])).
% 26.16/5.00 tff(f27447,plain,(
% 26.16/5.00 ! [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))) <=> sP43(X0,X2,X1)) | ~sP44(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])])).
% 26.16/5.00 tff(f19444,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10864])).
% 26.16/5.00 tff(f10864,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f3454])).
% 26.16/5.00 tff(f3454,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X19 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,inverse_inverse(X0),X19)),aa(X0,X0,inverse_inverse(X0),X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X20)),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20))) & (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),X19),X20))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3453_inverse__le__iff)).
% 26.16/5.00 tff(f70816,plain,(
% 26.16/5.00 spl4009_770),
% 26.16/5.00 inference(avatar_split_clause,[],[f39235,f70814])).
% 26.16/5.00 tff(f39235,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP42(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27445])).
% 26.16/5.00 tff(f27445,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP42(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19443,f27444,f27443])).
% 26.16/5.00 tff(f27443,plain,(
% 26.16/5.00 ! [X2 : X0,X1 : X0,X0 : $tType] : (sP41(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))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])])).
% 26.16/5.00 tff(f27444,plain,(
% 26.16/5.00 ! [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))) <=> sP41(X0,X2,X1)) | ~sP42(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])])).
% 26.16/5.00 tff(f19443,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10863])).
% 26.16/5.00 tff(f10863,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f3455])).
% 26.16/5.00 tff(f3455,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X19 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),aa(X0,X0,inverse_inverse(X0),X19)),aa(X0,X0,inverse_inverse(X0),X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),aa(X0,X0,aa(X0,fun(X0,X0),times_times(X0),X19),X20)),zero_zero(X0))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X19),X20))) & (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),X19),X20))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X20),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3454_inverse__less__iff)).
% 26.16/5.00 tff(f70812,plain,(
% 26.16/5.00 spl4009_769),
% 26.16/5.00 inference(avatar_split_clause,[],[f39220,f70810])).
% 26.16/5.00 tff(f39220,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP40(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27442])).
% 26.16/5.00 tff(f27442,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP40(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19440,f27441,f27440])).
% 26.16/5.00 tff(f27440,plain,(
% 26.16/5.00 ! [X2 : X0,X0 : $tType,X1 : X0] : (sP39(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])])).
% 26.16/5.00 tff(f27441,plain,(
% 26.16/5.00 ! [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))) <=> sP39(X0,X2,X1)) | ~sP40(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])])).
% 26.16/5.00 tff(f19440,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10860])).
% 26.16/5.00 tff(f10860,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1388])).
% 26.16/5.00 tff(f1388,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X19 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X19,X20)),zero_zero(X0))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X20)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1387_divide__le__0__iff)).
% 26.16/5.00 tff(f70808,plain,(
% 26.16/5.00 spl4009_768),
% 26.16/5.00 inference(avatar_split_clause,[],[f39211,f70806])).
% 26.16/5.00 tff(f39211,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP38(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27439])).
% 26.16/5.00 tff(f27439,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP38(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19439,f27438,f27437])).
% 26.16/5.00 tff(f27438,plain,(
% 26.16/5.00 ! [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))) <=> sP37(X0,X2,X1)) | ~sP38(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])])).
% 26.16/5.00 tff(f19439,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10859])).
% 26.16/5.00 tff(f10859,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1432])).
% 26.16/5.00 tff(f1432,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X19 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),divide_divide(X0,X20,X19)),one_one(X0))) <=> (zero_zero(X0) = X19 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X19),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1431_divide__le__eq__1)).
% 26.16/5.00 tff(f70804,plain,(
% 26.16/5.00 spl4009_767),
% 26.16/5.00 inference(avatar_split_clause,[],[f39199,f70802])).
% 26.16/5.00 tff(f39199,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP36(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27436])).
% 26.16/5.00 tff(f27436,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP36(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19437,f27435,f27434])).
% 26.16/5.00 tff(f27434,plain,(
% 26.16/5.00 ! [X0 : $tType,X2 : X0,X1 : X0] : (sP35(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])])).
% 26.16/5.00 tff(f27435,plain,(
% 26.16/5.00 ! [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))) <=> sP35(X0,X2,X1)) | ~sP36(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])])).
% 26.16/5.00 tff(f19437,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10857])).
% 26.16/5.00 tff(f10857,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1390])).
% 26.16/5.00 tff(f1390,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X19 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),divide_divide(X0,X19,X20))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),zero_zero(X0))) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X20)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1389_zero__le__divide__iff)).
% 26.16/5.00 tff(f70800,plain,(
% 26.16/5.00 spl4009_766),
% 26.16/5.00 inference(avatar_split_clause,[],[f39190,f70798])).
% 26.16/5.00 tff(f39190,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP34(X0) | ~linordered_field(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27433])).
% 26.16/5.00 tff(f27433,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP34(X0) | ~linordered_field(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19436,f27432,f27431])).
% 26.16/5.00 tff(f27431,plain,(
% 26.16/5.00 ! [X2 : X0,X1 : X0,X0 : $tType] : (sP33(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)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])])).
% 26.16/5.00 tff(f27432,plain,(
% 26.16/5.00 ! [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))) <=> sP33(X0,X2,X1)) | ~sP34(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])])).
% 26.16/5.00 tff(f19436,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10856])).
% 26.16/5.00 tff(f10856,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f1431])).
% 26.16/5.00 tff(f1431,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (linordered_field(X0) => ! [X20 : X0,X19 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),one_one(X0)),divide_divide(X0,X20,X19))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),X19),zero_zero(X0)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20)) & pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less(X0),zero_zero(X0)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1430_le__divide__eq__1)).
% 26.16/5.00 tff(f70796,plain,(
% 26.16/5.00 spl4009_765),
% 26.16/5.00 inference(avatar_split_clause,[],[f38920,f70794])).
% 26.16/5.00 tff(f38920,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP32(X0) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27430])).
% 26.16/5.00 tff(f27430,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP32(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19227,f27429,f27428])).
% 26.16/5.00 tff(f27428,plain,(
% 26.16/5.00 ! [X2 : set(X0),X0 : $tType,X1 : X0] : (sP31(X0,X2,X1) <=> (((~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,X2)) | pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X2))) & (~real_V358717886546972837endent(X0,X2) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X2)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])])).
% 26.16/5.00 tff(f27429,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : (~real_V358717886546972837endent(X0,aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X2)) <=> sP31(X0,X2,X1)) | ~sP32(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])])).
% 26.16/5.00 tff(f19227,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : X0,X2 : set(X0)] : (~real_V358717886546972837endent(X0,aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X2)) <=> (((~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,X2)) | pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X2))) & (~real_V358717886546972837endent(X0,X2) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X2))))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10686])).
% 26.16/5.00 tff(f10686,plain,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : X0,X2 : set(X0)] : (~real_V358717886546972837endent(X0,aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X2)) <=> ((~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X2)) => (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),real_Vector_span(X0,X2))) & ~real_V358717886546972837endent(X0,X2))) & (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X1),X2)) => ~real_V358717886546972837endent(X0,X2)))))),
% 26.16/5.00 inference(rectify,[],[f7433])).
% 26.16/5.00 tff(f7433,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X19 : X0,X141 : set(X0)] : (~real_V358717886546972837endent(X0,aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X19),X141)) <=> ((~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X19),X141)) => (~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X19),real_Vector_span(X0,X141))) & ~real_V358717886546972837endent(X0,X141))) & (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X19),X141)) => ~real_V358717886546972837endent(X0,X141)))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7432_independent__insert)).
% 26.16/5.00 tff(f70792,plain,(
% 26.16/5.00 spl4009_764),
% 26.16/5.00 inference(avatar_split_clause,[],[f38861,f70790])).
% 26.16/5.00 tff(f38861,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP29(X0) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27425])).
% 26.16/5.00 tff(f27425,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP29(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19188,f27424,f27423])).
% 26.16/5.00 tff(f27423,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0)] : (sP28(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_adk(fun(X0,real),fun(X0,X0),X2)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])])).
% 26.16/5.00 tff(f19188,plain,(
% 26.16/5.00 ! [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_adk(fun(X0,real),fun(X0,X0),X2)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2)))))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10660])).
% 26.16/5.00 tff(f10660,plain,(
% 26.16/5.00 ! [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_adk(fun(X0,real),fun(X0,X0),X2)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))),X1)) & pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2)))))))),
% 26.16/5.00 inference(rectify,[],[f6834])).
% 26.16/5.00 tff(f6834,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X58 : set(X0)] : (real_V358717886546972837endent(X0,X58) <=> ? [X355 : fun(X0,real)] : (? [X38 : X0] : zero_zero(real) != aa(X0,real,X355,X38) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_adk(fun(X0,real),fun(X0,X0),X355)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X355))) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X355))),X58)) & pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X355)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6833_dependent__alt)).
% 26.16/5.00 tff(f70788,plain,(
% 26.16/5.00 spl4009_763),
% 26.16/5.00 inference(avatar_split_clause,[],[f38850,f70786])).
% 26.16/5.00 tff(f38850,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP27(X0) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27422])).
% 26.16/5.00 tff(f27422,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP27(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19186,f27421,f27420])).
% 26.16/5.00 tff(f27420,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0)] : (sP26(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_adk(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_finite2(X0),X2))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])])).
% 26.16/5.00 tff(f19186,plain,(
% 26.16/5.00 ! [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_adk(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_finite2(X0),X2)))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10658])).
% 26.16/5.00 tff(f10658,plain,(
% 26.16/5.00 ! [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_adk(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_finite2(X0),X2)))))),
% 26.16/5.00 inference(rectify,[],[f6837])).
% 26.16/5.00 tff(f6837,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X60 : set(X0)] : (real_V358717886546972837endent(X0,X60) <=> ? [X64 : set(X0)] : (? [X443 : fun(X0,real)] : (? [X38 : X0] : (zero_zero(real) != aa(X0,real,X443,X38) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X64))) & zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_adk(fun(X0,real),fun(X0,X0),X443)),X64)) & pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X64),X60)) & pp(aa(set(X0),bool,finite_finite2(X0),X64)))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6836_dependent__explicit)).
% 26.16/5.00 tff(f70784,plain,(
% 26.16/5.00 spl4009_762),
% 26.16/5.00 inference(avatar_split_clause,[],[f38841,f70782])).
% 26.16/5.00 tff(f38841,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP25(X0) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27419])).
% 26.16/5.00 tff(f27419,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP25(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19185,f27418,f27417])).
% 26.16/5.00 tff(f27417,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0)] : (sP24(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_adk(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_finite2(X0),X2))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])])).
% 26.16/5.00 tff(f19185,plain,(
% 26.16/5.00 ! [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_adk(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_finite2(X0),X2)))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(flattening,[],[f19184])).
% 26.16/5.00 tff(f19184,plain,(
% 26.16/5.00 ! [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_adk(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_finite2(X0),X2)))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10657])).
% 26.16/5.00 tff(f10657,plain,(
% 26.16/5.00 ! [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_finite2(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_adk(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)))))))),
% 26.16/5.00 inference(rectify,[],[f6838])).
% 26.16/5.00 tff(f6838,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X60 : set(X0)] : (~real_V358717886546972837endent(X0,X60) <=> ! [X64 : set(X0),X443 : fun(X0,real),X407 : X0] : (pp(aa(set(X0),bool,finite_finite2(X0),X64)) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X64),X60)) => (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_adk(fun(X0,real),fun(X0,X0),X443)),X64) => (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X407),X64)) => zero_zero(real) = aa(X0,real,X443,X407)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6837_independent__explicit__module)).
% 26.16/5.00 tff(f70780,plain,(
% 26.16/5.00 spl4009_761),
% 26.16/5.00 inference(avatar_split_clause,[],[f38832,f70778])).
% 26.16/5.00 tff(f38832,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP23(X0) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27416])).
% 26.16/5.00 tff(f27416,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP23(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19183,f27415,f27414])).
% 26.16/5.00 tff(f27414,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0)] : (sP22(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_adk(fun(X0,real),fun(X0,X0),X2)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])])).
% 26.16/5.00 tff(f19183,plain,(
% 26.16/5.00 ! [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_adk(fun(X0,real),fun(X0,X0),X2)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))),X1)) | ~pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2)))))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(flattening,[],[f19182])).
% 26.16/5.00 tff(f19182,plain,(
% 26.16/5.00 ! [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_adk(fun(X0,real),fun(X0,X0),X2)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2)))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))),X1))) | ~pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2)))))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10656])).
% 26.16/5.00 tff(f10656,plain,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X1 : set(X0)] : (~real_V358717886546972837endent(X0,X1) <=> ! [X2 : fun(X0,real)] : (pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2)))) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(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_adk(fun(X0,real),fun(X0,X0),X2)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X2))) => ! [X3 : X0] : zero_zero(real) = aa(X0,real,X2,X3))))))),
% 26.16/5.00 inference(rectify,[],[f6835])).
% 26.16/5.00 tff(f6835,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X58 : set(X0)] : (~real_V358717886546972837endent(X0,X58) <=> ! [X355 : fun(X0,real)] : (pp(aa(set(X0),bool,finite_finite2(X0),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X355)))) => (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X355))),X58)) => (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_adk(fun(X0,real),fun(X0,X0),X355)),aa(fun(X0,bool),set(X0),collect(X0),aTP_Lamp_adm(fun(X0,real),fun(X0,bool),X355))) => ! [X38 : X0] : zero_zero(real) = aa(X0,real,X355,X38))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6834_independent__alt)).
% 26.16/5.00 tff(f70776,plain,(
% 26.16/5.00 spl4009_760),
% 26.16/5.00 inference(avatar_split_clause,[],[f38824,f70774])).
% 26.16/5.00 tff(f38824,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP21(X0) | ~real_V4867850818363320053vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27413])).
% 26.16/5.00 tff(f27413,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP21(X0) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19181,f27412,f27411])).
% 26.16/5.00 tff(f27411,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0)] : (sP20(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_adk(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,finite_finite2(X0),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])])).
% 26.16/5.00 tff(f19181,plain,(
% 26.16/5.00 ! [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_adk(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,finite_finite2(X0),X2)) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(flattening,[],[f19180])).
% 26.16/5.00 tff(f19180,plain,(
% 26.16/5.00 ! [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_adk(fun(X0,real),fun(X0,X0),X3)),X2)) | ~pp(aa(set(X0),bool,finite_finite2(X0),X2))) | ~pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X2),X1)))) | ~real_V4867850818363320053vector(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10655])).
% 26.16/5.00 tff(f10655,plain,(
% 26.16/5.00 ! [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_finite2(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_adk(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)))))))),
% 26.16/5.00 inference(rectify,[],[f6819])).
% 26.16/5.00 tff(f6819,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V4867850818363320053vector(X0) => ! [X54 : set(X0)] : (~real_V358717886546972837endent(X0,X54) <=> ! [X367 : set(X0)] : (pp(aa(set(X0),bool,aa(set(X0),fun(set(X0),bool),ord_less_eq(set(X0)),X367),X54)) => (pp(aa(set(X0),bool,finite_finite2(X0),X367)) => ! [X443 : fun(X0,real)] : (zero_zero(X0) = aa(set(X0),X0,aa(fun(X0,X0),fun(set(X0),X0),groups7311177749621191930dd_sum(X0,X0),aTP_Lamp_adk(fun(X0,real),fun(X0,X0),X443)),X367) => ! [X38 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X367)) => zero_zero(real) = aa(X0,real,X443,X38)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6818_independent__explicit__finite__subsets)).
% 26.16/5.00 tff(f70772,plain,(
% 26.16/5.00 spl4009_759),
% 26.16/5.00 inference(avatar_split_clause,[],[f38704,f70770])).
% 26.16/5.00 tff(f38704,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP18(X0) | ~topolo7287701948861334536_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27408])).
% 26.16/5.00 tff(f27408,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP18(X0) | ~topolo7287701948861334536_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19087,f27407,f27406])).
% 26.16/5.00 tff(f27406,plain,(
% 26.16/5.00 ! [X1 : fun(nat,X0),X0 : $tType] : (sP17(X0,X1) <=> ! [X2 : fun(product_prod(X0,X0),bool)] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(product_prod(X0,X0),bool,X2,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))) | ~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(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X2),topolo7806501430040627800ormity(X0)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])])).
% 26.16/5.00 tff(f19087,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : fun(product_prod(X0,X0),bool)] : (? [X3 : nat] : ! [X4 : nat] : (! [X5 : nat] : (pp(aa(product_prod(X0,X0),bool,X2,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))) | ~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(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X2),topolo7806501430040627800ormity(X0))))) | ~topolo7287701948861334536_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10572])).
% 26.16/5.00 tff(f10572,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo7287701948861334536_space(X0) => ! [X1 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X1) <=> ! [X2 : fun(product_prod(X0,X0),bool)] : (pp(aa(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X2),topolo7806501430040627800ormity(X0))) => ? [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(product_prod(X0,X0),bool,X2,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(nat,X0,X1,X4)),aa(nat,X0,X1,X5)))))))))),
% 26.16/5.00 inference(rectify,[],[f6829])).
% 26.16/5.00 tff(f6829,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo7287701948861334536_space(X0) => ! [X61 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X61) <=> ! [X369 : fun(product_prod(X0,X0),bool)] : (pp(aa(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X369),topolo7806501430040627800ormity(X0))) => ? [X234 : nat] : ! [X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X234),X118)) => ! [X119 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X234),X119)) => pp(aa(product_prod(X0,X0),bool,X369,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),aa(nat,X0,X61,X118)),aa(nat,X0,X61,X119)))))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6828_Cauchy__uniform__iff)).
% 26.16/5.00 tff(f70768,plain,(
% 26.16/5.00 spl4009_758),
% 26.16/5.00 inference(avatar_split_clause,[],[f38696,f70766])).
% 26.16/5.00 tff(f38696,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP16(X0) | ~topolo7287701948861334536_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27405])).
% 26.16/5.00 tff(f27405,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP16(X0) | ~topolo7287701948861334536_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19086,f27404,f27403])).
% 26.16/5.00 tff(f27403,plain,(
% 26.16/5.00 ! [X0 : $tType,X1 : set(X0)] : (sP15(X0,X1) <=> ! [X2 : fun(product_prod(X0,X0),bool)] : (? [X3 : set(X0)] : (! [X4 : X0] : (? [X5 : X0] : (pp(aa(product_prod(X0,X0),bool,X2,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X4))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X3))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & pp(aa(set(X0),bool,finite_finite2(X0),X3))) | ~pp(aa(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X2),topolo7806501430040627800ormity(X0)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])])).
% 26.16/5.00 tff(f19086,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo6688025880775521714ounded(X0,X1) <=> ! [X2 : fun(product_prod(X0,X0),bool)] : (? [X3 : set(X0)] : (! [X4 : X0] : (? [X5 : X0] : (pp(aa(product_prod(X0,X0),bool,X2,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X4))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X3))) | ~pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))) & pp(aa(set(X0),bool,finite_finite2(X0),X3))) | ~pp(aa(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X2),topolo7806501430040627800ormity(X0))))) | ~topolo7287701948861334536_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10571])).
% 26.16/5.00 tff(f10571,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo7287701948861334536_space(X0) => ! [X1 : set(X0)] : (topolo6688025880775521714ounded(X0,X1) <=> ! [X2 : fun(product_prod(X0,X0),bool)] : (pp(aa(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X2),topolo7806501430040627800ormity(X0))) => ? [X3 : set(X0)] : (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) => ? [X5 : X0] : (pp(aa(product_prod(X0,X0),bool,X2,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X5),X4))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X5),X3)))) & pp(aa(set(X0),bool,finite_finite2(X0),X3))))))),
% 26.16/5.00 inference(rectify,[],[f6830])).
% 26.16/5.00 tff(f6830,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo7287701948861334536_space(X0) => ! [X141 : set(X0)] : (topolo6688025880775521714ounded(X0,X141) <=> ! [X442 : fun(product_prod(X0,X0),bool)] : (pp(aa(filter(product_prod(X0,X0)),bool,aa(fun(product_prod(X0,X0),bool),fun(filter(product_prod(X0,X0)),bool),eventually(product_prod(X0,X0)),X442),topolo7806501430040627800ormity(X0))) => ? [X355 : set(X0)] : (! [X38 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X141)) => ? [X142 : X0] : (pp(aa(product_prod(X0,X0),bool,X442,aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X142),X38))) & pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X142),X355)))) & pp(aa(set(X0),bool,finite_finite2(X0),X355))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6829_totally__bounded__def)).
% 26.16/5.00 tff(f70764,plain,(
% 26.16/5.00 spl4009_757),
% 26.16/5.00 inference(avatar_split_clause,[],[f38669,f70762])).
% 26.16/5.00 tff(f38669,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP14(X0) | ~real_V7819770556892013058_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27402])).
% 26.16/5.00 tff(f27402,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP14(X0) | ~real_V7819770556892013058_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19068,f27401,f27400])).
% 26.16/5.00 tff(f27400,plain,(
% 26.16/5.00 ! [X2 : X0,X1 : fun(nat,X0),X0 : $tType] : (sP13(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))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])])).
% 26.16/5.00 tff(f27401,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : fun(nat,X0),X2 : X0] : (filterlim(nat,X0,X1,topolo7230453075368039082e_nhds(X0,X2),at_top(nat)) <=> sP13(X0,X2,X1)) | ~sP14(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])])).
% 26.16/5.00 tff(f19068,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10559])).
% 26.16/5.00 tff(f10559,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f5544])).
% 26.16/5.00 tff(f5544,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X61 : fun(nat,X0),X349 : X0] : (filterlim(nat,X0,X61,topolo7230453075368039082e_nhds(X0,X349),at_top(nat)) <=> ! [X258 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X258)) => ? [X354 : nat] : (! [X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X354),X118)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X61,X118),X349)),X258))) & pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X354))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5543_LIMSEQ__iff__nz)).
% 26.16/5.00 tff(f70760,plain,(
% 26.16/5.00 spl4009_756),
% 26.16/5.00 inference(avatar_split_clause,[],[f38650,f70758])).
% 26.16/5.00 tff(f38650,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP12(X0) | ~real_V7819770556892013058_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27399])).
% 26.16/5.00 tff(f27399,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP12(X0) | ~real_V7819770556892013058_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19060,f27398,f27397])).
% 26.16/5.00 tff(f27397,plain,(
% 26.16/5.00 ! [X1 : fun(nat,X0),X0 : $tType] : (sP11(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_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))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])])).
% 26.16/5.00 tff(f19060,plain,(
% 26.16/5.00 ! [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_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_V7819770556892013058_space(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10552])).
% 26.16/5.00 tff(f10552,plain,(
% 26.16/5.00 ! [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_eq(nat),X3),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)))))))),
% 26.16/5.00 inference(rectify,[],[f5548])).
% 26.16/5.00 tff(f5548,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X61 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X61) <=> ! [X262 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X262)) => ? [X263 : nat] : ! [X119 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X263),X119)) => ! [X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X263),X118)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X61,X119),aa(nat,X0,X61,X118))),X262)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5547_Cauchy__def)).
% 26.16/5.00 tff(f70756,plain,(
% 26.16/5.00 spl4009_755),
% 26.16/5.00 inference(avatar_split_clause,[],[f38642,f70754])).
% 26.16/5.00 tff(f38642,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP10(X0) | ~real_V7819770556892013058_space(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27396])).
% 26.16/5.00 tff(f27396,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP10(X0) | ~real_V7819770556892013058_space(X0))),
% 26.16/5.00 inference(definition_folding,[],[f19059,f27395,f27394])).
% 26.16/5.00 tff(f27394,plain,(
% 26.16/5.00 ! [X1 : fun(nat,X0),X0 : $tType] : (sP9(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))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])])).
% 26.16/5.00 tff(f19059,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10551])).
% 26.16/5.00 tff(f10551,plain,(
% 26.16/5.00 ! [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)))))))),
% 26.16/5.00 inference(rectify,[],[f5555])).
% 26.16/5.00 tff(f5555,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V7819770556892013058_space(X0) => ! [X56 : fun(nat,X0)] : (topolo3814608138187158403Cauchy(X0,X56) <=> ! [X262 : real] : (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X262)) => ? [X263 : nat] : ! [X119 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X263),X119)) => ! [X118 : nat] : (pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X119),X118)) => pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),real_V557655796197034286t_dist(X0,aa(nat,X0,X56,X119),aa(nat,X0,X56,X118))),X262)))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5554_Cauchy__altdef)).
% 26.16/5.00 tff(f70752,plain,(
% 26.16/5.00 spl4009_754),
% 26.16/5.00 inference(avatar_split_clause,[],[f38442,f70750])).
% 26.16/5.00 tff(f38442,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP8(X0) | ~real_V5355595471888546746vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27393])).
% 26.16/5.00 tff(f27393,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP8(X0) | ~real_V5355595471888546746vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f18948,f27392,f27391])).
% 26.16/5.00 tff(f27391,plain,(
% 26.16/5.00 ! [X2 : X0,X3 : X0,X0 : $tType,X1 : real] : (sP7(X0,X2,X3,X1) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),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),X3)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])).
% 26.16/5.00 tff(f27392,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : real,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),real_V8093663219630862766scaleR(X0,X1,X3))) <=> sP7(X0,X2,X3,X1)) | ~sP8(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])).
% 26.16/5.00 tff(f18948,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : real,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),real_V8093663219630862766scaleR(X0,X1,X3))) <=> ((pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X3),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),X3)) | ~pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))))) | ~real_V5355595471888546746vector(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10455])).
% 26.16/5.00 tff(f10455,plain,(
% 26.16/5.00 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X1 : real,X2 : X0,X3 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X1,X2)),real_V8093663219630862766scaleR(X0,X1,X3))) <=> ((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),X3),X2))) & (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X3))))))),
% 26.16/5.00 inference(rectify,[],[f3445])).
% 26.16/5.00 tff(f3445,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X62 : real,X19 : X0,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X62,X19)),real_V8093663219630862766scaleR(X0,X62,X20))) <=> ((pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X62),zero_zero(real))) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),X19))) & (pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X62)) => pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X19),X20))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3444_scaleR__le__cancel__left)).
% 26.16/5.00 tff(f70748,plain,(
% 26.16/5.00 spl4009_753),
% 26.16/5.00 inference(avatar_split_clause,[],[f38409,f70746])).
% 26.16/5.00 tff(f38409,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP6(X0) | ~real_V5355595471888546746vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27390])).
% 26.16/5.00 tff(f27390,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP6(X0) | ~real_V5355595471888546746vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f18929,f27389,f27388])).
% 26.16/5.00 tff(f27389,plain,(
% 26.16/5.00 ! [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))) <=> sP5(X0,X1,X2)) | ~sP6(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])).
% 26.16/5.00 tff(f18929,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10440])).
% 26.16/5.00 tff(f10440,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f3460])).
% 26.16/5.00 tff(f3460,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X19 : real,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),real_V8093663219630862766scaleR(X0,X19,X20)),zero_zero(X0))) <=> (zero_zero(real) = X19 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X20)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X19),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3459_scaleR__le__0__iff)).
% 26.16/5.00 tff(f70744,plain,(
% 26.16/5.00 spl4009_752),
% 26.16/5.00 inference(avatar_split_clause,[],[f38399,f70742])).
% 26.16/5.00 tff(f38399,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP4(X0) | ~real_V5355595471888546746vector(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27387])).
% 26.16/5.00 tff(f27387,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP4(X0) | ~real_V5355595471888546746vector(X0))),
% 26.16/5.00 inference(definition_folding,[],[f18928,f27386,f27385])).
% 26.16/5.00 tff(f27386,plain,(
% 26.16/5.00 ! [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))) <=> sP3(X0,X1,X2)) | ~sP4(X0))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])).
% 26.16/5.00 tff(f18928,plain,(
% 26.16/5.00 ! [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))),
% 26.16/5.00 inference(ennf_transformation,[],[f10439])).
% 26.16/5.00 tff(f10439,plain,(
% 26.16/5.00 ! [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))))))),
% 26.16/5.00 inference(rectify,[],[f3461])).
% 26.16/5.00 tff(f3461,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (real_V5355595471888546746vector(X0) => ! [X19 : real,X20 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),real_V8093663219630862766scaleR(X0,X19,X20))) <=> (zero_zero(real) = X19 | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X20),zero_zero(X0))) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),X19),zero_zero(real)))) | (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),zero_zero(X0)),X20)) & pp(aa(real,bool,aa(real,fun(real,bool),ord_less(real),zero_zero(real)),X19))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3460_zero__le__scaleR__iff)).
% 26.16/5.00 tff(f70740,plain,(
% 26.16/5.00 spl4009_751),
% 26.16/5.00 inference(avatar_split_clause,[],[f38355,f70738])).
% 26.16/5.00 tff(f38355,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (sP2(X0) | ~topolo8458572112393995274pology(X0)) )),
% 26.16/5.00 inference(cnf_transformation,[],[f27384])).
% 26.16/5.00 tff(f27384,plain,(
% 26.16/5.00 ! [X0 : $tType] : (sP2(X0) | ~topolo8458572112393995274pology(X0))),
% 26.16/5.00 inference(definition_folding,[],[f18897,f27383,f27382])).
% 26.16/5.00 tff(f27382,plain,(
% 26.16/5.00 ! [X1 : set(X0),X0 : $tType] : (sP1(X0,X1) <=> ! [X2 : X0] : (! [X3 : X0] : (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))) | ~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))))),
% 26.16/5.00 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).
% 26.16/5.00 tff(f18897,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> ! [X2 : X0] : (! [X3 : X0] : (! [X4 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))) | ~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)))) | ~topolo8458572112393995274pology(X0))),
% 26.16/5.00 inference(flattening,[],[f18896])).
% 26.16/5.00 tff(f18896,plain,(
% 26.16/5.00 ! [X0 : $tType] : (! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> ! [X2 : X0] : (! [X3 : X0] : (! [X4 : X0] : ((pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1)) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X4),X3))) | ~pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X2),X4))) | ~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)))) | ~topolo8458572112393995274pology(X0))),
% 26.16/5.00 inference(ennf_transformation,[],[f10416])).
% 26.16/5.00 tff(f10416,plain,(
% 26.16/5.00 ! [X0 : $tType] : (topolo8458572112393995274pology(X0) => ! [X1 : set(X0)] : (topolo1966860045006549960nected(X0,X1) <=> ! [X2 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X2),X1)) => ! [X3 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X3),X1)) => ! [X4 : X0] : (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),X4),X3)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X4),X1))))))))),
% 26.16/5.00 inference(rectify,[],[f7131])).
% 26.16/5.00 tff(f7131,axiom,(
% 26.16/5.00 ! [X0 : $tType] : (topolo8458572112393995274pology(X0) => ! [X280 : set(X0)] : (topolo1966860045006549960nected(X0,X280) <=> ! [X38 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X38),X280)) => ! [X142 : X0] : (pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X142),X280)) => ! [X115 : X0] : (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X38),X115)) => (pp(aa(X0,bool,aa(X0,fun(X0,bool),ord_less_eq(X0),X115),X142)) => pp(aa(set(X0),bool,aa(X0,fun(set(X0),bool),member(X0),X115),X280))))))))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7130_connected__iff__interval)).
% 26.16/5.00 tff(f70736,plain,(
% 26.16/5.00 spl4009_750),
% 26.16/5.00 inference(avatar_split_clause,[],[f37841,f70734])).
% 26.16/5.00 tff(f70734,plain,(
% 26.16/5.00 spl4009_750 <=> ! [X0 : $tType] : transp(X0,fequal(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_750])])).
% 26.16/5.00 tff(f37841,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (transp(X0,fequal(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f7496])).
% 26.16/5.00 tff(f7496,axiom,(
% 26.16/5.00 ! [X0 : $tType] : transp(X0,fequal(X0))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7495_transp__equality)).
% 26.16/5.00 tff(f70732,plain,(
% 26.16/5.00 spl4009_749),
% 26.16/5.00 inference(avatar_split_clause,[],[f37565,f70729])).
% 26.16/5.00 tff(f70729,plain,(
% 26.16/5.00 spl4009_749 <=> one2 = bitM(one2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_749])])).
% 26.16/5.00 tff(f37565,plain,(
% 26.16/5.00 one2 = bitM(one2)),
% 26.16/5.00 inference(cnf_transformation,[],[f2364])).
% 26.16/5.00 tff(f2364,axiom,(
% 26.16/5.00 one2 = bitM(one2)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2363_semiring__norm_I26_J)).
% 26.16/5.00 tff(f70727,plain,(
% 26.16/5.00 spl4009_748),
% 26.16/5.00 inference(avatar_split_clause,[],[f37564,f70724])).
% 26.16/5.00 tff(f70724,plain,(
% 26.16/5.00 spl4009_748 <=> one2 = sqr(one2)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_748])])).
% 26.16/5.00 tff(f37564,plain,(
% 26.16/5.00 one2 = sqr(one2)),
% 26.16/5.00 inference(cnf_transformation,[],[f7265])).
% 26.16/5.00 tff(f7265,axiom,(
% 26.16/5.00 one2 = sqr(one2)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7264_sqr_Osimps_I1_J)).
% 26.16/5.00 tff(f70722,plain,(
% 26.16/5.00 spl4009_747),
% 26.16/5.00 inference(avatar_split_clause,[],[f53885,f70719])).
% 26.16/5.00 tff(f70719,plain,(
% 26.16/5.00 spl4009_747 <=> vEBT_invar_vebt(summary,m)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_747])])).
% 26.16/5.00 tff(f53885,plain,(
% 26.16/5.00 vEBT_invar_vebt(summary,m)),
% 26.16/5.00 inference(definition_unfolding,[],[f37562,f37560])).
% 26.16/5.00 tff(f37562,plain,(
% 26.16/5.00 vEBT_invar_vebt(summary2,m)),
% 26.16/5.00 inference(cnf_transformation,[],[f25])).
% 26.16/5.00 tff(f25,axiom,(
% 26.16/5.00 vEBT_invar_vebt(summary2,m)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_case4_I3_J)).
% 26.16/5.00 tff(f70717,plain,(
% 26.16/5.00 spl4009_746),
% 26.16/5.00 inference(avatar_split_clause,[],[f37836,f70715])).
% 26.16/5.00 tff(f70715,plain,(
% 26.16/5.00 spl4009_746 <=> ! [X0 : $tType] : order(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_746])])).
% 26.16/5.00 tff(f37836,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (order(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9985])).
% 26.16/5.00 tff(f9985,plain,(
% 26.16/5.00 ! [X0 : $tType] : order(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9470])).
% 26.16/5.00 tff(f9470,axiom,(
% 26.16/5.00 ! [X341 : $tType] : order(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder_200)).
% 26.16/5.00 tff(f70713,plain,(
% 26.16/5.00 spl4009_745),
% 26.16/5.00 inference(avatar_split_clause,[],[f37835,f70711])).
% 26.16/5.00 tff(f70711,plain,(
% 26.16/5.00 spl4009_745 <=> ! [X0 : $tType] : order(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_745])])).
% 26.16/5.00 tff(f37835,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (order(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9984])).
% 26.16/5.00 tff(f9984,plain,(
% 26.16/5.00 ! [X0 : $tType] : order(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9646])).
% 26.16/5.00 tff(f9646,axiom,(
% 26.16/5.00 ! [X341 : $tType] : order(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder_355)).
% 26.16/5.00 tff(f70709,plain,(
% 26.16/5.00 spl4009_744),
% 26.16/5.00 inference(avatar_split_clause,[],[f37834,f70707])).
% 26.16/5.00 tff(f70707,plain,(
% 26.16/5.00 spl4009_744 <=> ! [X0 : $tType] : preorder(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_744])])).
% 26.16/5.00 tff(f37834,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (preorder(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9983])).
% 26.16/5.00 tff(f9983,plain,(
% 26.16/5.00 ! [X0 : $tType] : preorder(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9467])).
% 26.16/5.00 tff(f9467,axiom,(
% 26.16/5.00 ! [X341 : $tType] : preorder(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Opreorder_197)).
% 26.16/5.00 tff(f70705,plain,(
% 26.16/5.00 spl4009_743),
% 26.16/5.00 inference(avatar_split_clause,[],[f37833,f70703])).
% 26.16/5.00 tff(f70703,plain,(
% 26.16/5.00 spl4009_743 <=> ! [X0 : $tType] : preorder(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_743])])).
% 26.16/5.00 tff(f37833,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (preorder(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9982])).
% 26.16/5.00 tff(f9982,plain,(
% 26.16/5.00 ! [X0 : $tType] : preorder(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9644])).
% 26.16/5.00 tff(f9644,axiom,(
% 26.16/5.00 ! [X341 : $tType] : preorder(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Opreorder_353)).
% 26.16/5.00 tff(f70701,plain,(
% 26.16/5.00 spl4009_742),
% 26.16/5.00 inference(avatar_split_clause,[],[f37832,f70699])).
% 26.16/5.00 tff(f70699,plain,(
% 26.16/5.00 spl4009_742 <=> ! [X0 : $tType] : ord(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_742])])).
% 26.16/5.00 tff(f37832,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (ord(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9981])).
% 26.16/5.00 tff(f9981,plain,(
% 26.16/5.00 ! [X0 : $tType] : ord(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9472])).
% 26.16/5.00 tff(f9472,axiom,(
% 26.16/5.00 ! [X341 : $tType] : ord(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oord_202)).
% 26.16/5.00 tff(f70697,plain,(
% 26.16/5.00 spl4009_741),
% 26.16/5.00 inference(avatar_split_clause,[],[f37831,f70695])).
% 26.16/5.00 tff(f70695,plain,(
% 26.16/5.00 spl4009_741 <=> ! [X0 : $tType] : ord(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_741])])).
% 26.16/5.00 tff(f37831,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (ord(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9980])).
% 26.16/5.00 tff(f9980,plain,(
% 26.16/5.00 ! [X0 : $tType] : ord(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9648])).
% 26.16/5.00 tff(f9648,axiom,(
% 26.16/5.00 ! [X341 : $tType] : ord(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oord_357)).
% 26.16/5.00 tff(f70693,plain,(
% 26.16/5.00 spl4009_740),
% 26.16/5.00 inference(avatar_split_clause,[],[f37830,f70691])).
% 26.16/5.00 tff(f70691,plain,(
% 26.16/5.00 spl4009_740 <=> ! [X0 : $tType] : semilattice_sup(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_740])])).
% 26.16/5.00 tff(f37830,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (semilattice_sup(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9979])).
% 26.16/5.00 tff(f9979,plain,(
% 26.16/5.00 ! [X0 : $tType] : semilattice_sup(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9461])).
% 26.16/5.00 tff(f9461,axiom,(
% 26.16/5.00 ! [X341 : $tType] : semilattice_sup(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Osemilattice__sup_191)).
% 26.16/5.00 tff(f70689,plain,(
% 26.16/5.00 spl4009_739),
% 26.16/5.00 inference(avatar_split_clause,[],[f37829,f70687])).
% 26.16/5.00 tff(f70687,plain,(
% 26.16/5.00 spl4009_739 <=> ! [X0 : $tType] : semilattice_sup(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_739])])).
% 26.16/5.00 tff(f37829,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (semilattice_sup(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9978])).
% 26.16/5.00 tff(f9978,plain,(
% 26.16/5.00 ! [X0 : $tType] : semilattice_sup(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9638])).
% 26.16/5.00 tff(f9638,axiom,(
% 26.16/5.00 ! [X341 : $tType] : semilattice_sup(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Osemilattice__sup_347)).
% 26.16/5.00 tff(f70685,plain,(
% 26.16/5.00 spl4009_738),
% 26.16/5.00 inference(avatar_split_clause,[],[f37828,f70683])).
% 26.16/5.00 tff(f70683,plain,(
% 26.16/5.00 spl4009_738 <=> ! [X0 : $tType] : semilattice_inf(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_738])])).
% 26.16/5.00 tff(f37828,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (semilattice_inf(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9977])).
% 26.16/5.00 tff(f9977,plain,(
% 26.16/5.00 ! [X0 : $tType] : semilattice_inf(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9462])).
% 26.16/5.00 tff(f9462,axiom,(
% 26.16/5.00 ! [X341 : $tType] : semilattice_inf(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Osemilattice__inf_192)).
% 26.16/5.00 tff(f70681,plain,(
% 26.16/5.00 spl4009_737),
% 26.16/5.00 inference(avatar_split_clause,[],[f37827,f70679])).
% 26.16/5.00 tff(f70679,plain,(
% 26.16/5.00 spl4009_737 <=> ! [X0 : $tType] : semilattice_inf(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_737])])).
% 26.16/5.00 tff(f37827,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (semilattice_inf(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9976])).
% 26.16/5.00 tff(f9976,plain,(
% 26.16/5.00 ! [X0 : $tType] : semilattice_inf(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9639])).
% 26.16/5.00 tff(f9639,axiom,(
% 26.16/5.00 ! [X341 : $tType] : semilattice_inf(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Osemilattice__inf_348)).
% 26.16/5.00 tff(f70677,plain,(
% 26.16/5.00 spl4009_736),
% 26.16/5.00 inference(avatar_split_clause,[],[f37826,f70675])).
% 26.16/5.00 tff(f70675,plain,(
% 26.16/5.00 spl4009_736 <=> ! [X0 : $tType] : lattice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_736])])).
% 26.16/5.00 tff(f37826,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (lattice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9975])).
% 26.16/5.00 tff(f9975,plain,(
% 26.16/5.00 ! [X0 : $tType] : lattice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9469])).
% 26.16/5.00 tff(f9469,axiom,(
% 26.16/5.00 ! [X341 : $tType] : lattice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Olattice_199)).
% 26.16/5.00 tff(f70673,plain,(
% 26.16/5.00 spl4009_735),
% 26.16/5.00 inference(avatar_split_clause,[],[f37825,f70671])).
% 26.16/5.00 tff(f70671,plain,(
% 26.16/5.00 spl4009_735 <=> ! [X0 : $tType] : lattice(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_735])])).
% 26.16/5.00 tff(f37825,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (lattice(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9974])).
% 26.16/5.00 tff(f9974,plain,(
% 26.16/5.00 ! [X0 : $tType] : lattice(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9645])).
% 26.16/5.00 tff(f9645,axiom,(
% 26.16/5.00 ! [X341 : $tType] : lattice(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Olattice_354)).
% 26.16/5.00 tff(f70669,plain,(
% 26.16/5.00 spl4009_734),
% 26.16/5.00 inference(avatar_split_clause,[],[f37824,f70667])).
% 26.16/5.00 tff(f70667,plain,(
% 26.16/5.00 spl4009_734 <=> ! [X0 : $tType] : distrib_lattice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_734])])).
% 26.16/5.00 tff(f37824,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (distrib_lattice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9973])).
% 26.16/5.00 tff(f9973,plain,(
% 26.16/5.00 ! [X0 : $tType] : distrib_lattice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9463])).
% 26.16/5.00 tff(f9463,axiom,(
% 26.16/5.00 ! [X341 : $tType] : distrib_lattice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Odistrib__lattice_193)).
% 26.16/5.00 tff(f70665,plain,(
% 26.16/5.00 spl4009_733),
% 26.16/5.00 inference(avatar_split_clause,[],[f37823,f70663])).
% 26.16/5.00 tff(f70663,plain,(
% 26.16/5.00 spl4009_733 <=> ! [X0 : $tType] : distrib_lattice(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_733])])).
% 26.16/5.00 tff(f37823,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (distrib_lattice(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9972])).
% 26.16/5.00 tff(f9972,plain,(
% 26.16/5.00 ! [X0 : $tType] : distrib_lattice(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9640])).
% 26.16/5.00 tff(f9640,axiom,(
% 26.16/5.00 ! [X341 : $tType] : distrib_lattice(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Odistrib__lattice_349)).
% 26.16/5.00 tff(f70661,plain,(
% 26.16/5.00 spl4009_732),
% 26.16/5.00 inference(avatar_split_clause,[],[f37822,f70659])).
% 26.16/5.00 tff(f70659,plain,(
% 26.16/5.00 spl4009_732 <=> ! [X0 : $tType] : condit1219197933456340205attice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_732])])).
% 26.16/5.00 tff(f37822,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (condit1219197933456340205attice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9971])).
% 26.16/5.00 tff(f9971,plain,(
% 26.16/5.00 ! [X0 : $tType] : condit1219197933456340205attice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9452])).
% 26.16/5.00 tff(f9452,axiom,(
% 26.16/5.00 ! [X341 : $tType] : condit1219197933456340205attice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_182)).
% 26.16/5.00 tff(f70657,plain,(
% 26.16/5.00 spl4009_731),
% 26.16/5.00 inference(avatar_split_clause,[],[f37821,f70655])).
% 26.16/5.00 tff(f70655,plain,(
% 26.16/5.00 spl4009_731 <=> ! [X0 : $tType] : condit1219197933456340205attice(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_731])])).
% 26.16/5.00 tff(f37821,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (condit1219197933456340205attice(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9970])).
% 26.16/5.00 tff(f9970,plain,(
% 26.16/5.00 ! [X0 : $tType] : condit1219197933456340205attice(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9631])).
% 26.16/5.00 tff(f9631,axiom,(
% 26.16/5.00 ! [X341 : $tType] : condit1219197933456340205attice(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_340)).
% 26.16/5.00 tff(f70653,plain,(
% 26.16/5.00 spl4009_730),
% 26.16/5.00 inference(avatar_split_clause,[],[f37820,f70651])).
% 26.16/5.00 tff(f70651,plain,(
% 26.16/5.00 spl4009_730 <=> ! [X0 : $tType] : uminus(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_730])])).
% 26.16/5.00 tff(f37820,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (uminus(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9969])).
% 26.16/5.00 tff(f9969,plain,(
% 26.16/5.00 ! [X0 : $tType] : uminus(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9474])).
% 26.16/5.00 tff(f9474,axiom,(
% 26.16/5.00 ! [X341 : $tType] : uminus(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Groups_Ouminus_204)).
% 26.16/5.00 tff(f70649,plain,(
% 26.16/5.00 spl4009_729),
% 26.16/5.00 inference(avatar_split_clause,[],[f37819,f70647])).
% 26.16/5.00 tff(f70647,plain,(
% 26.16/5.00 spl4009_729 <=> ! [X0 : $tType] : size(list(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_729])])).
% 26.16/5.00 tff(f37819,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (size(list(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9968])).
% 26.16/5.00 tff(f9968,plain,(
% 26.16/5.00 ! [X0 : $tType] : size(list(X0))),
% 26.16/5.00 inference(rectify,[],[f9506])).
% 26.16/5.00 tff(f9506,axiom,(
% 26.16/5.00 ! [X341 : $tType] : size(list(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_List_Olist___Nat_Osize_236)).
% 26.16/5.00 tff(f70645,plain,(
% 26.16/5.00 spl4009_728),
% 26.16/5.00 inference(avatar_split_clause,[],[f37818,f70643])).
% 26.16/5.00 tff(f70643,plain,(
% 26.16/5.00 spl4009_728 <=> ! [X0 : $tType] : size(option(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_728])])).
% 26.16/5.00 tff(f37818,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (size(option(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9967])).
% 26.16/5.00 tff(f9967,plain,(
% 26.16/5.00 ! [X0 : $tType] : size(option(X0))),
% 26.16/5.00 inference(rectify,[],[f9651])).
% 26.16/5.00 tff(f9651,axiom,(
% 26.16/5.00 ! [X341 : $tType] : size(option(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Option_Ooption___Nat_Osize_360)).
% 26.16/5.00 tff(f70641,plain,(
% 26.16/5.00 spl4009_727),
% 26.16/5.00 inference(avatar_split_clause,[],[f37817,f70639])).
% 26.16/5.00 tff(f70639,plain,(
% 26.16/5.00 spl4009_727 <=> ! [X0 : $tType] : order_bot(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_727])])).
% 26.16/5.00 tff(f37817,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (order_bot(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9966])).
% 26.16/5.00 tff(f9966,plain,(
% 26.16/5.00 ! [X0 : $tType] : order_bot(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9466])).
% 26.16/5.00 tff(f9466,axiom,(
% 26.16/5.00 ! [X341 : $tType] : order_bot(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder__bot_196)).
% 26.16/5.00 tff(f70637,plain,(
% 26.16/5.00 spl4009_726),
% 26.16/5.00 inference(avatar_split_clause,[],[f37816,f70635])).
% 26.16/5.00 tff(f70635,plain,(
% 26.16/5.00 spl4009_726 <=> ! [X0 : $tType] : order_bot(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_726])])).
% 26.16/5.00 tff(f37816,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (order_bot(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9965])).
% 26.16/5.00 tff(f9965,plain,(
% 26.16/5.00 ! [X0 : $tType] : order_bot(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9643])).
% 26.16/5.00 tff(f9643,axiom,(
% 26.16/5.00 ! [X341 : $tType] : order_bot(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder__bot_352)).
% 26.16/5.00 tff(f70633,plain,(
% 26.16/5.00 spl4009_725),
% 26.16/5.00 inference(avatar_split_clause,[],[f37815,f70631])).
% 26.16/5.00 tff(f70631,plain,(
% 26.16/5.00 spl4009_725 <=> ! [X0 : $tType] : bot(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_725])])).
% 26.16/5.00 tff(f37815,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bot(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9964])).
% 26.16/5.00 tff(f9964,plain,(
% 26.16/5.00 ! [X0 : $tType] : bot(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9473])).
% 26.16/5.00 tff(f9473,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bot(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Obot_203)).
% 26.16/5.00 tff(f70629,plain,(
% 26.16/5.00 spl4009_724),
% 26.16/5.00 inference(avatar_split_clause,[],[f37814,f70627])).
% 26.16/5.00 tff(f70627,plain,(
% 26.16/5.00 spl4009_724 <=> ! [X0 : $tType] : bot(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_724])])).
% 26.16/5.00 tff(f37814,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bot(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9963])).
% 26.16/5.00 tff(f9963,plain,(
% 26.16/5.00 ! [X0 : $tType] : bot(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9649])).
% 26.16/5.00 tff(f9649,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bot(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Obot_358)).
% 26.16/5.00 tff(f70625,plain,(
% 26.16/5.00 spl4009_723),
% 26.16/5.00 inference(avatar_split_clause,[],[f37813,f70623])).
% 26.16/5.00 tff(f70623,plain,(
% 26.16/5.00 spl4009_723 <=> ! [X0 : $tType] : comple6319245703460814977attice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_723])])).
% 26.16/5.00 tff(f37813,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (comple6319245703460814977attice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9962])).
% 26.16/5.00 tff(f9962,plain,(
% 26.16/5.00 ! [X0 : $tType] : comple6319245703460814977attice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9457])).
% 26.16/5.00 tff(f9457,axiom,(
% 26.16/5.00 ! [X341 : $tType] : comple6319245703460814977attice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Lattices_Ocomplete__lattice_187)).
% 26.16/5.00 tff(f70621,plain,(
% 26.16/5.00 spl4009_722),
% 26.16/5.00 inference(avatar_split_clause,[],[f37812,f70619])).
% 26.16/5.00 tff(f70619,plain,(
% 26.16/5.00 spl4009_722 <=> ! [X0 : $tType] : comple6319245703460814977attice(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_722])])).
% 26.16/5.00 tff(f37812,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (comple6319245703460814977attice(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9961])).
% 26.16/5.00 tff(f9961,plain,(
% 26.16/5.00 ! [X0 : $tType] : comple6319245703460814977attice(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9635])).
% 26.16/5.00 tff(f9635,axiom,(
% 26.16/5.00 ! [X341 : $tType] : comple6319245703460814977attice(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Complete__Lattices_Ocomplete__lattice_344)).
% 26.16/5.00 tff(f70617,plain,(
% 26.16/5.00 spl4009_721),
% 26.16/5.00 inference(avatar_split_clause,[],[f37811,f70615])).
% 26.16/5.00 tff(f70615,plain,(
% 26.16/5.00 spl4009_721 <=> ! [X0 : $tType] : counta3822494911875563373attice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_721])])).
% 26.16/5.00 tff(f37811,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (counta3822494911875563373attice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9960])).
% 26.16/5.00 tff(f9960,plain,(
% 26.16/5.00 ! [X0 : $tType] : counta3822494911875563373attice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9453])).
% 26.16/5.00 tff(f9453,axiom,(
% 26.16/5.00 ! [X341 : $tType] : counta3822494911875563373attice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Countable__Complete__Lattices_Ocountable__complete__lattice_183)).
% 26.16/5.00 tff(f70613,plain,(
% 26.16/5.00 spl4009_720),
% 26.16/5.00 inference(avatar_split_clause,[],[f37810,f70611])).
% 26.16/5.00 tff(f70611,plain,(
% 26.16/5.00 spl4009_720 <=> ! [X0 : $tType] : counta3822494911875563373attice(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_720])])).
% 26.16/5.00 tff(f37810,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (counta3822494911875563373attice(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9959])).
% 26.16/5.00 tff(f9959,plain,(
% 26.16/5.00 ! [X0 : $tType] : counta3822494911875563373attice(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9632])).
% 26.16/5.00 tff(f9632,axiom,(
% 26.16/5.00 ! [X341 : $tType] : counta3822494911875563373attice(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Countable__Complete__Lattices_Ocountable__complete__lattice_341)).
% 26.16/5.00 tff(f70609,plain,(
% 26.16/5.00 spl4009_719),
% 26.16/5.00 inference(avatar_split_clause,[],[f37809,f70607])).
% 26.16/5.00 tff(f70607,plain,(
% 26.16/5.00 spl4009_719 <=> ! [X0 : $tType] : order_top(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_719])])).
% 26.16/5.00 tff(f37809,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (order_top(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9958])).
% 26.16/5.00 tff(f9958,plain,(
% 26.16/5.00 ! [X0 : $tType] : order_top(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9465])).
% 26.16/5.00 tff(f9465,axiom,(
% 26.16/5.00 ! [X341 : $tType] : order_top(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Oorder__top_195)).
% 26.16/5.00 tff(f70605,plain,(
% 26.16/5.00 spl4009_718),
% 26.16/5.00 inference(avatar_split_clause,[],[f37808,f70603])).
% 26.16/5.00 tff(f70603,plain,(
% 26.16/5.00 spl4009_718 <=> ! [X0 : $tType] : order_top(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_718])])).
% 26.16/5.00 tff(f37808,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (order_top(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9957])).
% 26.16/5.00 tff(f9957,plain,(
% 26.16/5.00 ! [X0 : $tType] : order_top(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9642])).
% 26.16/5.00 tff(f9642,axiom,(
% 26.16/5.00 ! [X341 : $tType] : order_top(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Oorder__top_351)).
% 26.16/5.00 tff(f70601,plain,(
% 26.16/5.00 spl4009_717),
% 26.16/5.00 inference(avatar_split_clause,[],[f37807,f70599])).
% 26.16/5.00 tff(f70599,plain,(
% 26.16/5.00 spl4009_717 <=> ! [X0 : $tType] : comple9053668089753744459l_ccpo(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_717])])).
% 26.16/5.00 tff(f37807,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (comple9053668089753744459l_ccpo(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9956])).
% 26.16/5.00 tff(f9956,plain,(
% 26.16/5.00 ! [X0 : $tType] : comple9053668089753744459l_ccpo(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9460])).
% 26.16/5.00 tff(f9460,axiom,(
% 26.16/5.00 ! [X341 : $tType] : comple9053668089753744459l_ccpo(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Partial__Order_Occpo_190)).
% 26.16/5.00 tff(f70597,plain,(
% 26.16/5.00 spl4009_716),
% 26.16/5.00 inference(avatar_split_clause,[],[f37806,f70595])).
% 26.16/5.00 tff(f70595,plain,(
% 26.16/5.00 spl4009_716 <=> ! [X0 : $tType] : comple9053668089753744459l_ccpo(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_716])])).
% 26.16/5.00 tff(f37806,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (comple9053668089753744459l_ccpo(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9955])).
% 26.16/5.00 tff(f9955,plain,(
% 26.16/5.00 ! [X0 : $tType] : comple9053668089753744459l_ccpo(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9637])).
% 26.16/5.00 tff(f9637,axiom,(
% 26.16/5.00 ! [X341 : $tType] : comple9053668089753744459l_ccpo(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Complete__Partial__Order_Occpo_346)).
% 26.16/5.00 tff(f70593,plain,(
% 26.16/5.00 spl4009_715),
% 26.16/5.00 inference(avatar_split_clause,[],[f37805,f70591])).
% 26.16/5.00 tff(f70591,plain,(
% 26.16/5.00 spl4009_715 <=> ! [X0 : $tType] : bounde4967611905675639751up_bot(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_715])])).
% 26.16/5.00 tff(f37805,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bounde4967611905675639751up_bot(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9954])).
% 26.16/5.00 tff(f9954,plain,(
% 26.16/5.00 ! [X0 : $tType] : bounde4967611905675639751up_bot(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9455])).
% 26.16/5.00 tff(f9455,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bounde4967611905675639751up_bot(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__semilattice__sup__bot_185)).
% 26.16/5.00 tff(f70589,plain,(
% 26.16/5.00 spl4009_714),
% 26.16/5.00 inference(avatar_split_clause,[],[f37804,f70587])).
% 26.16/5.00 tff(f70587,plain,(
% 26.16/5.00 spl4009_714 <=> ! [X0 : $tType] : bounde4967611905675639751up_bot(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_714])])).
% 26.16/5.00 tff(f37804,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bounde4967611905675639751up_bot(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9953])).
% 26.16/5.00 tff(f9953,plain,(
% 26.16/5.00 ! [X0 : $tType] : bounde4967611905675639751up_bot(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9633])).
% 26.16/5.00 tff(f9633,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bounde4967611905675639751up_bot(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__semilattice__sup__bot_342)).
% 26.16/5.00 tff(f70585,plain,(
% 26.16/5.00 spl4009_713),
% 26.16/5.00 inference(avatar_split_clause,[],[f37803,f70583])).
% 26.16/5.00 tff(f70583,plain,(
% 26.16/5.00 spl4009_713 <=> ! [X0 : $tType] : bounded_lattice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_713])])).
% 26.16/5.00 tff(f37803,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bounded_lattice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9952])).
% 26.16/5.00 tff(f9952,plain,(
% 26.16/5.00 ! [X0 : $tType] : bounded_lattice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9464])).
% 26.16/5.00 tff(f9464,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bounded_lattice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__lattice_194)).
% 26.16/5.00 tff(f70581,plain,(
% 26.16/5.00 spl4009_712),
% 26.16/5.00 inference(avatar_split_clause,[],[f37802,f70579])).
% 26.16/5.00 tff(f70579,plain,(
% 26.16/5.00 spl4009_712 <=> ! [X0 : $tType] : bounded_lattice(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_712])])).
% 26.16/5.00 tff(f37802,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bounded_lattice(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9951])).
% 26.16/5.00 tff(f9951,plain,(
% 26.16/5.00 ! [X0 : $tType] : bounded_lattice(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9641])).
% 26.16/5.00 tff(f9641,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bounded_lattice(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__lattice_350)).
% 26.16/5.00 tff(f70577,plain,(
% 26.16/5.00 spl4009_711),
% 26.16/5.00 inference(avatar_split_clause,[],[f37801,f70575])).
% 26.16/5.00 tff(f70575,plain,(
% 26.16/5.00 spl4009_711 <=> ! [X0 : $tType] : bounded_lattice_bot(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_711])])).
% 26.16/5.00 tff(f37801,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bounded_lattice_bot(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9950])).
% 26.16/5.00 tff(f9950,plain,(
% 26.16/5.00 ! [X0 : $tType] : bounded_lattice_bot(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9459])).
% 26.16/5.00 tff(f9459,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bounded_lattice_bot(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Lattices_Obounded__lattice__bot_189)).
% 26.16/5.00 tff(f70573,plain,(
% 26.16/5.00 spl4009_710),
% 26.16/5.00 inference(avatar_split_clause,[],[f37800,f70571])).
% 26.16/5.00 tff(f70571,plain,(
% 26.16/5.00 spl4009_710 <=> ! [X0 : $tType] : top(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_710])])).
% 26.16/5.00 tff(f37800,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (top(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9949])).
% 26.16/5.00 tff(f9949,plain,(
% 26.16/5.00 ! [X0 : $tType] : top(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9471])).
% 26.16/5.00 tff(f9471,axiom,(
% 26.16/5.00 ! [X341 : $tType] : top(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Orderings_Otop_201)).
% 26.16/5.00 tff(f70569,plain,(
% 26.16/5.00 spl4009_709),
% 26.16/5.00 inference(avatar_split_clause,[],[f37799,f70567])).
% 26.16/5.00 tff(f70567,plain,(
% 26.16/5.00 spl4009_709 <=> ! [X0 : $tType] : bounded_lattice_bot(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_709])])).
% 26.16/5.00 tff(f37799,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (bounded_lattice_bot(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9948])).
% 26.16/5.00 tff(f9948,plain,(
% 26.16/5.00 ! [X0 : $tType] : bounded_lattice_bot(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9636])).
% 26.16/5.00 tff(f9636,axiom,(
% 26.16/5.00 ! [X341 : $tType] : bounded_lattice_bot(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Lattices_Obounded__lattice__bot_345)).
% 26.16/5.00 tff(f70565,plain,(
% 26.16/5.00 spl4009_708),
% 26.16/5.00 inference(avatar_split_clause,[],[f37798,f70563])).
% 26.16/5.00 tff(f70563,plain,(
% 26.16/5.00 spl4009_708 <=> ! [X0 : $tType] : top(filter(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_708])])).
% 26.16/5.00 tff(f37798,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (top(filter(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9947])).
% 26.16/5.00 tff(f9947,plain,(
% 26.16/5.00 ! [X0 : $tType] : top(filter(X0))),
% 26.16/5.00 inference(rectify,[],[f9647])).
% 26.16/5.00 tff(f9647,axiom,(
% 26.16/5.00 ! [X341 : $tType] : top(filter(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Filter_Ofilter___Orderings_Otop_356)).
% 26.16/5.00 tff(f70561,plain,(
% 26.16/5.00 spl4009_707),
% 26.16/5.00 inference(avatar_split_clause,[],[f37797,f70559])).
% 26.16/5.00 tff(f70559,plain,(
% 26.16/5.00 spl4009_707 <=> ! [X0 : $tType] : counta4013691401010221786attice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_707])])).
% 26.16/5.00 tff(f37797,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (counta4013691401010221786attice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9944])).
% 26.16/5.00 tff(f9944,plain,(
% 26.16/5.00 ! [X0 : $tType] : counta4013691401010221786attice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9451])).
% 26.16/5.00 tff(f9451,axiom,(
% 26.16/5.00 ! [X341 : $tType] : counta4013691401010221786attice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Countable__Complete__Lattices_Ocountable__complete__distrib__lattice_181)).
% 26.16/5.00 tff(f70557,plain,(
% 26.16/5.00 spl4009_706),
% 26.16/5.00 inference(avatar_split_clause,[],[f37796,f70555])).
% 26.16/5.00 tff(f70555,plain,(
% 26.16/5.00 spl4009_706 <=> ! [X0 : $tType] : comple592849572758109894attice(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_706])])).
% 26.16/5.00 tff(f37796,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (comple592849572758109894attice(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9943])).
% 26.16/5.00 tff(f9943,plain,(
% 26.16/5.00 ! [X0 : $tType] : comple592849572758109894attice(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9454])).
% 26.16/5.00 tff(f9454,axiom,(
% 26.16/5.00 ! [X341 : $tType] : comple592849572758109894attice(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Complete__Lattices_Ocomplete__distrib__lattice_184)).
% 26.16/5.00 tff(f70553,plain,(
% 26.16/5.00 spl4009_705),
% 26.16/5.00 inference(avatar_split_clause,[],[f37795,f70551])).
% 26.16/5.00 tff(f70551,plain,(
% 26.16/5.00 spl4009_705 <=> ! [X0 : $tType] : boolea8198339166811842893lgebra(set(X0))),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_705])])).
% 26.16/5.00 tff(f37795,plain,(
% 26.16/5.00 ( ! [X0 : $tType] : (boolea8198339166811842893lgebra(set(X0))) )),
% 26.16/5.00 inference(cnf_transformation,[],[f9942])).
% 26.16/5.00 tff(f9942,plain,(
% 26.16/5.00 ! [X0 : $tType] : boolea8198339166811842893lgebra(set(X0))),
% 26.16/5.00 inference(rectify,[],[f9458])).
% 26.16/5.00 tff(f9458,axiom,(
% 26.16/5.00 ! [X341 : $tType] : boolea8198339166811842893lgebra(set(X341))),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Set_Oset___Boolean__Algebras_Oboolean__algebra_188)).
% 26.16/5.00 tff(f70549,plain,(
% 26.16/5.00 spl4009_704),
% 26.16/5.00 inference(avatar_split_clause,[],[f37793,f70546])).
% 26.16/5.00 tff(f70546,plain,(
% 26.16/5.00 spl4009_704 <=> vEBT_invar_vebt(sK685,m)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_704])])).
% 26.16/5.00 tff(f37793,plain,(
% 26.16/5.00 vEBT_invar_vebt(sK685,m)),
% 26.16/5.00 inference(cnf_transformation,[],[f28427])).
% 26.16/5.00 tff(f70544,plain,(
% 26.16/5.00 spl4009_703),
% 26.16/5.00 inference(avatar_split_clause,[],[f37561,f70541])).
% 26.16/5.00 tff(f70541,plain,(
% 26.16/5.00 spl4009_703 <=> vEBT_invar_vebt(sa,deg)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_703])])).
% 26.16/5.00 tff(f37561,plain,(
% 26.16/5.00 vEBT_invar_vebt(sa,deg)),
% 26.16/5.00 inference(cnf_transformation,[],[f5])).
% 26.16/5.00 tff(f5,axiom,(
% 26.16/5.00 vEBT_invar_vebt(sa,deg)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_case4_I12_J)).
% 26.16/5.00 tff(f70539,plain,(
% 26.16/5.00 spl4009_702),
% 26.16/5.00 inference(avatar_split_clause,[],[f37559,f70536])).
% 26.16/5.00 tff(f70536,plain,(
% 26.16/5.00 spl4009_702 <=> pp(fTrue)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_702])])).
% 26.16/5.00 tff(f37559,plain,(
% 26.16/5.00 pp(fTrue)),
% 26.16/5.00 inference(cnf_transformation,[],[f9920])).
% 26.16/5.00 tff(f9920,axiom,(
% 26.16/5.00 pp(fTrue)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U)).
% 26.16/5.00 tff(f70534,plain,(
% 26.16/5.00 spl4009_701),
% 26.16/5.00 inference(avatar_split_clause,[],[f37558,f70531])).
% 26.16/5.00 tff(f70531,plain,(
% 26.16/5.00 spl4009_701 <=> order(nat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_701])])).
% 26.16/5.00 tff(f37558,plain,(
% 26.16/5.00 order(nat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9344])).
% 26.16/5.00 tff(f9344,axiom,(
% 26.16/5.00 order(nat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder_85)).
% 26.16/5.00 tff(f70529,plain,(
% 26.16/5.00 spl4009_700),
% 26.16/5.00 inference(avatar_split_clause,[],[f37557,f70526])).
% 26.16/5.00 tff(f70526,plain,(
% 26.16/5.00 spl4009_700 <=> order(bool)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_700])])).
% 26.16/5.00 tff(f37557,plain,(
% 26.16/5.00 order(bool)),
% 26.16/5.00 inference(cnf_transformation,[],[f9501])).
% 26.16/5.00 tff(f9501,axiom,(
% 26.16/5.00 order(bool)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder_231)).
% 26.16/5.00 tff(f70524,plain,(
% 26.16/5.00 spl4009_699),
% 26.16/5.00 inference(avatar_split_clause,[],[f37556,f70521])).
% 26.16/5.00 tff(f70521,plain,(
% 26.16/5.00 spl4009_699 <=> order(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_699])])).
% 26.16/5.00 tff(f37556,plain,(
% 26.16/5.00 order(real)),
% 26.16/5.00 inference(cnf_transformation,[],[f9610])).
% 26.16/5.00 tff(f9610,axiom,(
% 26.16/5.00 order(real)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oorder_319)).
% 26.16/5.00 tff(f70519,plain,(
% 26.16/5.00 spl4009_698),
% 26.16/5.00 inference(avatar_split_clause,[],[f37555,f70516])).
% 26.16/5.00 tff(f70516,plain,(
% 26.16/5.00 spl4009_698 <=> order(num)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_698])])).
% 26.16/5.00 tff(f37555,plain,(
% 26.16/5.00 order(num)),
% 26.16/5.00 inference(cnf_transformation,[],[f9357])).
% 26.16/5.00 tff(f9357,axiom,(
% 26.16/5.00 order(num)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oorder_97)).
% 26.16/5.00 tff(f70514,plain,(
% 26.16/5.00 spl4009_697),
% 26.16/5.00 inference(avatar_split_clause,[],[f37554,f70511])).
% 26.16/5.00 tff(f70511,plain,(
% 26.16/5.00 spl4009_697 <=> order(int)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_697])])).
% 26.16/5.00 tff(f37554,plain,(
% 26.16/5.00 order(int)),
% 26.16/5.00 inference(cnf_transformation,[],[f9249])).
% 26.16/5.00 tff(f9249,axiom,(
% 26.16/5.00 order(int)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oorder_7)).
% 26.16/5.00 tff(f70509,plain,(
% 26.16/5.00 spl4009_696),
% 26.16/5.00 inference(avatar_split_clause,[],[f37553,f70506])).
% 26.16/5.00 tff(f70506,plain,(
% 26.16/5.00 spl4009_696 <=> order(code_integer)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_696])])).
% 26.16/5.00 tff(f37553,plain,(
% 26.16/5.00 order(code_integer)),
% 26.16/5.00 inference(cnf_transformation,[],[f9895])).
% 26.16/5.00 tff(f9895,axiom,(
% 26.16/5.00 order(code_integer)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oorder_603)).
% 26.16/5.00 tff(f70504,plain,(
% 26.16/5.00 spl4009_695),
% 26.16/5.00 inference(avatar_split_clause,[],[f37552,f70501])).
% 26.16/5.00 tff(f70501,plain,(
% 26.16/5.00 spl4009_695 <=> order(rat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_695])])).
% 26.16/5.00 tff(f37552,plain,(
% 26.16/5.00 order(rat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9434])).
% 26.16/5.00 tff(f9434,axiom,(
% 26.16/5.00 order(rat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oorder_166)).
% 26.16/5.00 tff(f70499,plain,(
% 26.16/5.00 spl4009_694),
% 26.16/5.00 inference(avatar_split_clause,[],[f37551,f70496])).
% 26.16/5.00 tff(f70496,plain,(
% 26.16/5.00 spl4009_694 <=> order(extended_enat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_694])])).
% 26.16/5.00 tff(f37551,plain,(
% 26.16/5.00 order(extended_enat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9777])).
% 26.16/5.00 tff(f9777,axiom,(
% 26.16/5.00 order(extended_enat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder_485)).
% 26.16/5.00 tff(f70494,plain,(
% 26.16/5.00 spl4009_693),
% 26.16/5.00 inference(avatar_split_clause,[],[f37550,f70491])).
% 26.16/5.00 tff(f70491,plain,(
% 26.16/5.00 spl4009_693 <=> order(product_unit)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_693])])).
% 26.16/5.00 tff(f37550,plain,(
% 26.16/5.00 order(product_unit)),
% 26.16/5.00 inference(cnf_transformation,[],[f9816])).
% 26.16/5.00 tff(f9816,axiom,(
% 26.16/5.00 order(product_unit)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder_524)).
% 26.16/5.00 tff(f70489,plain,(
% 26.16/5.00 spl4009_692),
% 26.16/5.00 inference(avatar_split_clause,[],[f37549,f70486])).
% 26.16/5.00 tff(f70486,plain,(
% 26.16/5.00 spl4009_692 <=> order(literal)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_692])])).
% 26.16/5.00 tff(f37549,plain,(
% 26.16/5.00 order(literal)),
% 26.16/5.00 inference(cnf_transformation,[],[f9656])).
% 26.16/5.00 tff(f9656,axiom,(
% 26.16/5.00 order(literal)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Oorder_365)).
% 26.16/5.00 tff(f70484,plain,(
% 26.16/5.00 spl4009_691),
% 26.16/5.00 inference(avatar_split_clause,[],[f37548,f70481])).
% 26.16/5.00 tff(f70481,plain,(
% 26.16/5.00 spl4009_691 <=> preorder(nat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_691])])).
% 26.16/5.00 tff(f37548,plain,(
% 26.16/5.00 preorder(nat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9334])).
% 26.16/5.00 tff(f9334,axiom,(
% 26.16/5.00 preorder(nat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Opreorder_75)).
% 26.16/5.00 tff(f70479,plain,(
% 26.16/5.00 spl4009_690),
% 26.16/5.00 inference(avatar_split_clause,[],[f37547,f70476])).
% 26.16/5.00 tff(f70476,plain,(
% 26.16/5.00 spl4009_690 <=> preorder(bool)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_690])])).
% 26.16/5.00 tff(f37547,plain,(
% 26.16/5.00 preorder(bool)),
% 26.16/5.00 inference(cnf_transformation,[],[f9497])).
% 26.16/5.00 tff(f9497,axiom,(
% 26.16/5.00 preorder(bool)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Opreorder_227)).
% 26.16/5.00 tff(f70474,plain,(
% 26.16/5.00 spl4009_689),
% 26.16/5.00 inference(avatar_split_clause,[],[f37546,f70471])).
% 26.16/5.00 tff(f70471,plain,(
% 26.16/5.00 spl4009_689 <=> preorder(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_689])])).
% 26.16/5.00 tff(f37546,plain,(
% 26.16/5.00 preorder(real)),
% 26.16/5.00 inference(cnf_transformation,[],[f9597])).
% 26.16/5.00 tff(f9597,axiom,(
% 26.16/5.00 preorder(real)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Opreorder_307)).
% 26.16/5.00 tff(f70469,plain,(
% 26.16/5.00 spl4009_688),
% 26.16/5.00 inference(avatar_split_clause,[],[f37545,f70466])).
% 26.16/5.00 tff(f70466,plain,(
% 26.16/5.00 spl4009_688 <=> preorder(num)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_688])])).
% 26.16/5.00 tff(f37545,plain,(
% 26.16/5.00 preorder(num)),
% 26.16/5.00 inference(cnf_transformation,[],[f9355])).
% 26.16/5.00 tff(f9355,axiom,(
% 26.16/5.00 preorder(num)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Opreorder_95)).
% 26.16/5.00 tff(f70464,plain,(
% 26.16/5.00 spl4009_687),
% 26.16/5.00 inference(avatar_split_clause,[],[f37544,f70461])).
% 26.16/5.00 tff(f70461,plain,(
% 26.16/5.00 spl4009_687 <=> preorder(int)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_687])])).
% 26.16/5.00 tff(f37544,plain,(
% 26.16/5.00 preorder(int)),
% 26.16/5.00 inference(cnf_transformation,[],[f9235])).
% 26.16/5.00 tff(f9235,axiom,(
% 26.16/5.00 preorder(int)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Opreorder_5)).
% 26.16/5.00 tff(f70459,plain,(
% 26.16/5.00 spl4009_686),
% 26.16/5.00 inference(avatar_split_clause,[],[f37543,f70456])).
% 26.16/5.00 tff(f70456,plain,(
% 26.16/5.00 spl4009_686 <=> preorder(code_integer)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_686])])).
% 26.16/5.00 tff(f37543,plain,(
% 26.16/5.00 preorder(code_integer)),
% 26.16/5.00 inference(cnf_transformation,[],[f9886])).
% 26.16/5.00 tff(f9886,axiom,(
% 26.16/5.00 preorder(code_integer)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Opreorder_594)).
% 26.16/5.00 tff(f70454,plain,(
% 26.16/5.00 spl4009_685),
% 26.16/5.00 inference(avatar_split_clause,[],[f37542,f70451])).
% 26.16/5.00 tff(f70451,plain,(
% 26.16/5.00 spl4009_685 <=> preorder(rat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_685])])).
% 26.16/5.00 tff(f37542,plain,(
% 26.16/5.00 preorder(rat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9422])).
% 26.16/5.00 tff(f9422,axiom,(
% 26.16/5.00 preorder(rat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Opreorder_154)).
% 26.16/5.00 tff(f70449,plain,(
% 26.16/5.00 spl4009_684),
% 26.16/5.00 inference(avatar_split_clause,[],[f37541,f70446])).
% 26.16/5.00 tff(f70446,plain,(
% 26.16/5.00 spl4009_684 <=> preorder(extended_enat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_684])])).
% 26.16/5.00 tff(f37541,plain,(
% 26.16/5.00 preorder(extended_enat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9770])).
% 26.16/5.00 tff(f9770,axiom,(
% 26.16/5.00 preorder(extended_enat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Opreorder_478)).
% 26.16/5.00 tff(f70444,plain,(
% 26.16/5.00 spl4009_683),
% 26.16/5.00 inference(avatar_split_clause,[],[f37540,f70441])).
% 26.16/5.00 tff(f70441,plain,(
% 26.16/5.00 spl4009_683 <=> preorder(product_unit)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_683])])).
% 26.16/5.00 tff(f37540,plain,(
% 26.16/5.00 preorder(product_unit)),
% 26.16/5.00 inference(cnf_transformation,[],[f9812])).
% 26.16/5.00 tff(f9812,axiom,(
% 26.16/5.00 preorder(product_unit)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Opreorder_520)).
% 26.16/5.00 tff(f70439,plain,(
% 26.16/5.00 spl4009_682),
% 26.16/5.00 inference(avatar_split_clause,[],[f37539,f70436])).
% 26.16/5.00 tff(f70436,plain,(
% 26.16/5.00 spl4009_682 <=> preorder(literal)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_682])])).
% 26.16/5.00 tff(f37539,plain,(
% 26.16/5.00 preorder(literal)),
% 26.16/5.00 inference(cnf_transformation,[],[f9653])).
% 26.16/5.00 tff(f9653,axiom,(
% 26.16/5.00 preorder(literal)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Opreorder_362)).
% 26.16/5.00 tff(f70434,plain,(
% 26.16/5.00 spl4009_681),
% 26.16/5.00 inference(avatar_split_clause,[],[f37538,f70431])).
% 26.16/5.00 tff(f70431,plain,(
% 26.16/5.00 spl4009_681 <=> ord(nat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_681])])).
% 26.16/5.00 tff(f37538,plain,(
% 26.16/5.00 ord(nat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9346])).
% 26.16/5.00 tff(f9346,axiom,(
% 26.16/5.00 ord(nat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oord_87)).
% 26.16/5.00 tff(f70429,plain,(
% 26.16/5.00 spl4009_680),
% 26.16/5.00 inference(avatar_split_clause,[],[f37537,f70426])).
% 26.16/5.00 tff(f70426,plain,(
% 26.16/5.00 spl4009_680 <=> ord(bool)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_680])])).
% 26.16/5.00 tff(f37537,plain,(
% 26.16/5.00 ord(bool)),
% 26.16/5.00 inference(cnf_transformation,[],[f9503])).
% 26.16/5.00 tff(f9503,axiom,(
% 26.16/5.00 ord(bool)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oord_233)).
% 26.16/5.00 tff(f70424,plain,(
% 26.16/5.00 spl4009_679),
% 26.16/5.00 inference(avatar_split_clause,[],[f37536,f70421])).
% 26.16/5.00 tff(f70421,plain,(
% 26.16/5.00 spl4009_679 <=> ord(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_679])])).
% 26.16/5.00 tff(f37536,plain,(
% 26.16/5.00 ord(real)),
% 26.16/5.00 inference(cnf_transformation,[],[f9615])).
% 26.16/5.00 tff(f9615,axiom,(
% 26.16/5.00 ord(real)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Oord_324)).
% 26.16/5.00 tff(f70419,plain,(
% 26.16/5.00 spl4009_678),
% 26.16/5.00 inference(avatar_split_clause,[],[f37535,f70416])).
% 26.16/5.00 tff(f70416,plain,(
% 26.16/5.00 spl4009_678 <=> ord(num)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_678])])).
% 26.16/5.00 tff(f37535,plain,(
% 26.16/5.00 ord(num)),
% 26.16/5.00 inference(cnf_transformation,[],[f9358])).
% 26.16/5.00 tff(f9358,axiom,(
% 26.16/5.00 ord(num)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Oord_98)).
% 26.16/5.00 tff(f70414,plain,(
% 26.16/5.00 spl4009_677),
% 26.16/5.00 inference(avatar_split_clause,[],[f37534,f70411])).
% 26.16/5.00 tff(f70411,plain,(
% 26.16/5.00 spl4009_677 <=> ord(int)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_677])])).
% 26.16/5.00 tff(f37534,plain,(
% 26.16/5.00 ord(int)),
% 26.16/5.00 inference(cnf_transformation,[],[f9253])).
% 26.16/5.00 tff(f9253,axiom,(
% 26.16/5.00 ord(int)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Oord_8)).
% 26.16/5.00 tff(f70409,plain,(
% 26.16/5.00 spl4009_676),
% 26.16/5.00 inference(avatar_split_clause,[],[f37533,f70406])).
% 26.16/5.00 tff(f70406,plain,(
% 26.16/5.00 spl4009_676 <=> ord(code_integer)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_676])])).
% 26.16/5.00 tff(f37533,plain,(
% 26.16/5.00 ord(code_integer)),
% 26.16/5.00 inference(cnf_transformation,[],[f9899])).
% 26.16/5.00 tff(f9899,axiom,(
% 26.16/5.00 ord(code_integer)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Oord_607)).
% 26.16/5.00 tff(f70404,plain,(
% 26.16/5.00 spl4009_675),
% 26.16/5.00 inference(avatar_split_clause,[],[f37532,f70401])).
% 26.16/5.00 tff(f70401,plain,(
% 26.16/5.00 spl4009_675 <=> ord(rat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_675])])).
% 26.16/5.00 tff(f37532,plain,(
% 26.16/5.00 ord(rat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9439])).
% 26.16/5.00 tff(f9439,axiom,(
% 26.16/5.00 ord(rat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Oord_170)).
% 26.16/5.00 tff(f70399,plain,(
% 26.16/5.00 spl4009_674),
% 26.16/5.00 inference(avatar_split_clause,[],[f37531,f70396])).
% 26.16/5.00 tff(f70396,plain,(
% 26.16/5.00 spl4009_674 <=> ord(extended_enat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_674])])).
% 26.16/5.00 tff(f37531,plain,(
% 26.16/5.00 ord(extended_enat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9780])).
% 26.16/5.00 tff(f9780,axiom,(
% 26.16/5.00 ord(extended_enat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oord_488)).
% 26.16/5.00 tff(f70394,plain,(
% 26.16/5.00 spl4009_673),
% 26.16/5.00 inference(avatar_split_clause,[],[f37530,f70391])).
% 26.16/5.00 tff(f70391,plain,(
% 26.16/5.00 spl4009_673 <=> ord(product_unit)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_673])])).
% 26.16/5.00 tff(f37530,plain,(
% 26.16/5.00 ord(product_unit)),
% 26.16/5.00 inference(cnf_transformation,[],[f9818])).
% 26.16/5.00 tff(f9818,axiom,(
% 26.16/5.00 ord(product_unit)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oord_526)).
% 26.16/5.00 tff(f70389,plain,(
% 26.16/5.00 spl4009_672),
% 26.16/5.00 inference(avatar_split_clause,[],[f37529,f70386])).
% 26.16/5.00 tff(f70386,plain,(
% 26.16/5.00 spl4009_672 <=> ord(literal)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_672])])).
% 26.16/5.00 tff(f37529,plain,(
% 26.16/5.00 ord(literal)),
% 26.16/5.00 inference(cnf_transformation,[],[f9657])).
% 26.16/5.00 tff(f9657,axiom,(
% 26.16/5.00 ord(literal)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Oord_366)).
% 26.16/5.00 tff(f70384,plain,(
% 26.16/5.00 spl4009_671),
% 26.16/5.00 inference(avatar_split_clause,[],[f37528,f70381])).
% 26.16/5.00 tff(f70381,plain,(
% 26.16/5.00 spl4009_671 <=> linorder(nat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_671])])).
% 26.16/5.00 tff(f37528,plain,(
% 26.16/5.00 linorder(nat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9335])).
% 26.16/5.00 tff(f9335,axiom,(
% 26.16/5.00 linorder(nat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Olinorder_76)).
% 26.16/5.00 tff(f70379,plain,(
% 26.16/5.00 spl4009_670),
% 26.16/5.00 inference(avatar_split_clause,[],[f37527,f70376])).
% 26.16/5.00 tff(f70376,plain,(
% 26.16/5.00 spl4009_670 <=> linorder(bool)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_670])])).
% 26.16/5.00 tff(f37527,plain,(
% 26.16/5.00 linorder(bool)),
% 26.16/5.00 inference(cnf_transformation,[],[f9498])).
% 26.16/5.00 tff(f9498,axiom,(
% 26.16/5.00 linorder(bool)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Olinorder_228)).
% 26.16/5.00 tff(f70374,plain,(
% 26.16/5.00 spl4009_669),
% 26.16/5.00 inference(avatar_split_clause,[],[f37526,f70371])).
% 26.16/5.00 tff(f70371,plain,(
% 26.16/5.00 spl4009_669 <=> linorder(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_669])])).
% 26.16/5.00 tff(f37526,plain,(
% 26.16/5.00 linorder(real)),
% 26.16/5.00 inference(cnf_transformation,[],[f9598])).
% 26.16/5.00 tff(f9598,axiom,(
% 26.16/5.00 linorder(real)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Olinorder_308)).
% 26.16/5.00 tff(f70369,plain,(
% 26.16/5.00 spl4009_668),
% 26.16/5.00 inference(avatar_split_clause,[],[f37525,f70366])).
% 26.16/5.00 tff(f70366,plain,(
% 26.16/5.00 spl4009_668 <=> linorder(num)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_668])])).
% 26.16/5.00 tff(f37525,plain,(
% 26.16/5.00 linorder(num)),
% 26.16/5.00 inference(cnf_transformation,[],[f9356])).
% 26.16/5.00 tff(f9356,axiom,(
% 26.16/5.00 linorder(num)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Orderings_Olinorder_96)).
% 26.16/5.00 tff(f70364,plain,(
% 26.16/5.00 spl4009_667),
% 26.16/5.00 inference(avatar_split_clause,[],[f37524,f70361])).
% 26.16/5.00 tff(f70361,plain,(
% 26.16/5.00 spl4009_667 <=> linorder(int)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_667])])).
% 26.16/5.00 tff(f37524,plain,(
% 26.16/5.00 linorder(int)),
% 26.16/5.00 inference(cnf_transformation,[],[f9236])).
% 26.16/5.00 tff(f9236,axiom,(
% 26.16/5.00 linorder(int)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Olinorder)).
% 26.16/5.00 tff(f70359,plain,(
% 26.16/5.00 spl4009_666),
% 26.16/5.00 inference(avatar_split_clause,[],[f37523,f70356])).
% 26.16/5.00 tff(f70356,plain,(
% 26.16/5.00 spl4009_666 <=> linorder(code_integer)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_666])])).
% 26.16/5.00 tff(f37523,plain,(
% 26.16/5.00 linorder(code_integer)),
% 26.16/5.00 inference(cnf_transformation,[],[f9887])).
% 26.16/5.00 tff(f9887,axiom,(
% 26.16/5.00 linorder(code_integer)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Orderings_Olinorder_595)).
% 26.16/5.00 tff(f70354,plain,(
% 26.16/5.00 spl4009_665),
% 26.16/5.00 inference(avatar_split_clause,[],[f37522,f70351])).
% 26.16/5.00 tff(f70351,plain,(
% 26.16/5.00 spl4009_665 <=> linorder(rat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_665])])).
% 26.16/5.00 tff(f37522,plain,(
% 26.16/5.00 linorder(rat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9423])).
% 26.16/5.00 tff(f9423,axiom,(
% 26.16/5.00 linorder(rat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Olinorder_155)).
% 26.16/5.00 tff(f70349,plain,(
% 26.16/5.00 spl4009_664),
% 26.16/5.00 inference(avatar_split_clause,[],[f37521,f70346])).
% 26.16/5.00 tff(f70346,plain,(
% 26.16/5.00 spl4009_664 <=> linorder(extended_enat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_664])])).
% 26.16/5.00 tff(f37521,plain,(
% 26.16/5.00 linorder(extended_enat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9771])).
% 26.16/5.00 tff(f9771,axiom,(
% 26.16/5.00 linorder(extended_enat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Olinorder_479)).
% 26.16/5.00 tff(f70344,plain,(
% 26.16/5.00 spl4009_663),
% 26.16/5.00 inference(avatar_split_clause,[],[f37520,f70341])).
% 26.16/5.00 tff(f70341,plain,(
% 26.16/5.00 spl4009_663 <=> linorder(product_unit)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_663])])).
% 26.16/5.00 tff(f37520,plain,(
% 26.16/5.00 linorder(product_unit)),
% 26.16/5.00 inference(cnf_transformation,[],[f9813])).
% 26.16/5.00 tff(f9813,axiom,(
% 26.16/5.00 linorder(product_unit)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Olinorder_521)).
% 26.16/5.00 tff(f70339,plain,(
% 26.16/5.00 spl4009_662),
% 26.16/5.00 inference(avatar_split_clause,[],[f37519,f70336])).
% 26.16/5.00 tff(f70336,plain,(
% 26.16/5.00 spl4009_662 <=> linorder(literal)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_662])])).
% 26.16/5.00 tff(f37519,plain,(
% 26.16/5.00 linorder(literal)),
% 26.16/5.00 inference(cnf_transformation,[],[f9654])).
% 26.16/5.00 tff(f9654,axiom,(
% 26.16/5.00 linorder(literal)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Orderings_Olinorder_363)).
% 26.16/5.00 tff(f70334,plain,(
% 26.16/5.00 spl4009_661),
% 26.16/5.00 inference(avatar_split_clause,[],[f37518,f70331])).
% 26.16/5.00 tff(f70331,plain,(
% 26.16/5.00 spl4009_661 <=> semilattice_sup(nat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_661])])).
% 26.16/5.00 tff(f37518,plain,(
% 26.16/5.00 semilattice_sup(nat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9309])).
% 26.16/5.00 tff(f9309,axiom,(
% 26.16/5.00 semilattice_sup(nat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__sup_52)).
% 26.16/5.00 tff(f70329,plain,(
% 26.16/5.00 spl4009_660),
% 26.16/5.00 inference(avatar_split_clause,[],[f37517,f70326])).
% 26.16/5.00 tff(f70326,plain,(
% 26.16/5.00 spl4009_660 <=> semilattice_sup(bool)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_660])])).
% 26.16/5.00 tff(f37517,plain,(
% 26.16/5.00 semilattice_sup(bool)),
% 26.16/5.00 inference(cnf_transformation,[],[f9491])).
% 26.16/5.00 tff(f9491,axiom,(
% 26.16/5.00 semilattice_sup(bool)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__sup_221)).
% 26.16/5.00 tff(f70324,plain,(
% 26.16/5.00 spl4009_659),
% 26.16/5.00 inference(avatar_split_clause,[],[f37516,f70321])).
% 26.16/5.00 tff(f70321,plain,(
% 26.16/5.00 spl4009_659 <=> semilattice_sup(real)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_659])])).
% 26.16/5.00 tff(f37516,plain,(
% 26.16/5.00 semilattice_sup(real)),
% 26.16/5.00 inference(cnf_transformation,[],[f9570])).
% 26.16/5.00 tff(f9570,axiom,(
% 26.16/5.00 semilattice_sup(real)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__sup_280)).
% 26.16/5.00 tff(f70319,plain,(
% 26.16/5.00 spl4009_658),
% 26.16/5.00 inference(avatar_split_clause,[],[f37515,f70316])).
% 26.16/5.00 tff(f70316,plain,(
% 26.16/5.00 spl4009_658 <=> semilattice_sup(int)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_658])])).
% 26.16/5.00 tff(f37515,plain,(
% 26.16/5.00 semilattice_sup(int)),
% 26.16/5.00 inference(cnf_transformation,[],[f9207])).
% 26.16/5.00 tff(f9207,axiom,(
% 26.16/5.00 semilattice_sup(int)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__sup_2)).
% 26.16/5.00 tff(f70314,plain,(
% 26.16/5.00 spl4009_657),
% 26.16/5.00 inference(avatar_split_clause,[],[f37514,f70311])).
% 26.16/5.00 tff(f70311,plain,(
% 26.16/5.00 spl4009_657 <=> semilattice_sup(rat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_657])])).
% 26.16/5.00 tff(f37514,plain,(
% 26.16/5.00 semilattice_sup(rat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9395])).
% 26.16/5.00 tff(f9395,axiom,(
% 26.16/5.00 semilattice_sup(rat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__sup_131)).
% 26.16/5.00 tff(f70309,plain,(
% 26.16/5.00 spl4009_656),
% 26.16/5.00 inference(avatar_split_clause,[],[f37513,f70306])).
% 26.16/5.00 tff(f70306,plain,(
% 26.16/5.00 spl4009_656 <=> semilattice_sup(extended_enat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_656])])).
% 26.16/5.00 tff(f37513,plain,(
% 26.16/5.00 semilattice_sup(extended_enat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9750])).
% 26.16/5.00 tff(f9750,axiom,(
% 26.16/5.00 semilattice_sup(extended_enat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__sup_458)).
% 26.16/5.00 tff(f70304,plain,(
% 26.16/5.00 spl4009_655),
% 26.16/5.00 inference(avatar_split_clause,[],[f37512,f70301])).
% 26.16/5.00 tff(f70301,plain,(
% 26.16/5.00 spl4009_655 <=> semilattice_sup(product_unit)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_655])])).
% 26.16/5.00 tff(f37512,plain,(
% 26.16/5.00 semilattice_sup(product_unit)),
% 26.16/5.00 inference(cnf_transformation,[],[f9805])).
% 26.16/5.00 tff(f9805,axiom,(
% 26.16/5.00 semilattice_sup(product_unit)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__sup_513)).
% 26.16/5.00 tff(f70299,plain,(
% 26.16/5.00 spl4009_654),
% 26.16/5.00 inference(avatar_split_clause,[],[f37511,f70296])).
% 26.16/5.00 tff(f70296,plain,(
% 26.16/5.00 spl4009_654 <=> semilattice_inf(nat)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_654])])).
% 26.16/5.00 tff(f37511,plain,(
% 26.16/5.00 semilattice_inf(nat)),
% 26.16/5.00 inference(cnf_transformation,[],[f9310])).
% 26.16/5.00 tff(f9310,axiom,(
% 26.16/5.00 semilattice_inf(nat)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Osemilattice__inf_53)).
% 26.16/5.00 tff(f70294,plain,(
% 26.16/5.00 spl4009_653),
% 26.16/5.00 inference(avatar_split_clause,[],[f37510,f70291])).
% 26.16/5.00 tff(f70291,plain,(
% 26.16/5.00 spl4009_653 <=> semilattice_inf(bool)),
% 26.16/5.00 introduced(avatar_definition,[new_symbols(naming,[spl4009_653])])).
% 26.16/5.00 tff(f37510,plain,(
% 26.16/5.00 semilattice_inf(bool)),
% 26.16/5.00 inference(cnf_transformation,[],[f9492])).
% 26.16/5.00 tff(f9492,axiom,(
% 26.16/5.00 semilattice_inf(bool)),
% 26.16/5.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Osemilattice__inf_222)).
% 26.16/5.01 tff(f70289,plain,(
% 26.16/5.01 spl4009_652),
% 26.16/5.01 inference(avatar_split_clause,[],[f37509,f70286])).
% 26.16/5.01 tff(f70286,plain,(
% 26.16/5.01 spl4009_652 <=> semilattice_inf(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_652])])).
% 26.16/5.01 tff(f37509,plain,(
% 26.16/5.01 semilattice_inf(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9571])).
% 26.16/5.01 tff(f9571,axiom,(
% 26.16/5.01 semilattice_inf(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Osemilattice__inf_281)).
% 26.16/5.01 tff(f70284,plain,(
% 26.16/5.01 spl4009_651),
% 26.16/5.01 inference(avatar_split_clause,[],[f37508,f70281])).
% 26.16/5.01 tff(f70281,plain,(
% 26.16/5.01 spl4009_651 <=> semilattice_inf(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_651])])).
% 26.16/5.01 tff(f37508,plain,(
% 26.16/5.01 semilattice_inf(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9208])).
% 26.16/5.01 tff(f9208,axiom,(
% 26.16/5.01 semilattice_inf(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Osemilattice__inf_3)).
% 26.16/5.01 tff(f70279,plain,(
% 26.16/5.01 spl4009_650),
% 26.16/5.01 inference(avatar_split_clause,[],[f37507,f70276])).
% 26.16/5.01 tff(f70276,plain,(
% 26.16/5.01 spl4009_650 <=> semilattice_inf(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_650])])).
% 26.16/5.01 tff(f37507,plain,(
% 26.16/5.01 semilattice_inf(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9396])).
% 26.16/5.01 tff(f9396,axiom,(
% 26.16/5.01 semilattice_inf(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Osemilattice__inf_132)).
% 26.16/5.01 tff(f70274,plain,(
% 26.16/5.01 spl4009_649),
% 26.16/5.01 inference(avatar_split_clause,[],[f37506,f70271])).
% 26.16/5.01 tff(f70271,plain,(
% 26.16/5.01 spl4009_649 <=> semilattice_inf(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_649])])).
% 26.16/5.01 tff(f37506,plain,(
% 26.16/5.01 semilattice_inf(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9751])).
% 26.16/5.01 tff(f9751,axiom,(
% 26.16/5.01 semilattice_inf(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Osemilattice__inf_459)).
% 26.16/5.01 tff(f70269,plain,(
% 26.16/5.01 spl4009_648),
% 26.16/5.01 inference(avatar_split_clause,[],[f37505,f70266])).
% 26.16/5.01 tff(f70266,plain,(
% 26.16/5.01 spl4009_648 <=> semilattice_inf(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_648])])).
% 26.16/5.01 tff(f37505,plain,(
% 26.16/5.01 semilattice_inf(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9806])).
% 26.16/5.01 tff(f9806,axiom,(
% 26.16/5.01 semilattice_inf(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Osemilattice__inf_514)).
% 26.16/5.01 tff(f70264,plain,(
% 26.16/5.01 spl4009_647),
% 26.16/5.01 inference(avatar_split_clause,[],[f37504,f70261])).
% 26.16/5.01 tff(f70261,plain,(
% 26.16/5.01 spl4009_647 <=> lattice(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_647])])).
% 26.16/5.01 tff(f37504,plain,(
% 26.16/5.01 lattice(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9341])).
% 26.16/5.01 tff(f9341,axiom,(
% 26.16/5.01 lattice(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Olattice_82)).
% 26.16/5.01 tff(f70259,plain,(
% 26.16/5.01 spl4009_646),
% 26.16/5.01 inference(avatar_split_clause,[],[f37503,f70256])).
% 26.16/5.01 tff(f70256,plain,(
% 26.16/5.01 spl4009_646 <=> lattice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_646])])).
% 26.16/5.01 tff(f37503,plain,(
% 26.16/5.01 lattice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9500])).
% 26.16/5.01 tff(f9500,axiom,(
% 26.16/5.01 lattice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Olattice_230)).
% 26.16/5.01 tff(f70254,plain,(
% 26.16/5.01 spl4009_645),
% 26.16/5.01 inference(avatar_split_clause,[],[f37502,f70251])).
% 26.16/5.01 tff(f70251,plain,(
% 26.16/5.01 spl4009_645 <=> lattice(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_645])])).
% 26.16/5.01 tff(f37502,plain,(
% 26.16/5.01 lattice(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9607])).
% 26.16/5.01 tff(f9607,axiom,(
% 26.16/5.01 lattice(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Olattice_316)).
% 26.16/5.01 tff(f70249,plain,(
% 26.16/5.01 spl4009_644),
% 26.16/5.01 inference(avatar_split_clause,[],[f37501,f70246])).
% 26.16/5.01 tff(f70246,plain,(
% 26.16/5.01 spl4009_644 <=> lattice(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_644])])).
% 26.16/5.01 tff(f37501,plain,(
% 26.16/5.01 lattice(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9244])).
% 26.16/5.01 tff(f9244,axiom,(
% 26.16/5.01 lattice(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Olattice_6)).
% 26.16/5.01 tff(f70244,plain,(
% 26.16/5.01 spl4009_643),
% 26.16/5.01 inference(avatar_split_clause,[],[f37500,f70241])).
% 26.16/5.01 tff(f70241,plain,(
% 26.16/5.01 spl4009_643 <=> lattice(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_643])])).
% 26.16/5.01 tff(f37500,plain,(
% 26.16/5.01 lattice(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9431])).
% 26.16/5.01 tff(f9431,axiom,(
% 26.16/5.01 lattice(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Olattice_163)).
% 26.16/5.01 tff(f70239,plain,(
% 26.16/5.01 spl4009_642),
% 26.16/5.01 inference(avatar_split_clause,[],[f37499,f70236])).
% 26.16/5.01 tff(f70236,plain,(
% 26.16/5.01 spl4009_642 <=> lattice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_642])])).
% 26.16/5.01 tff(f37499,plain,(
% 26.16/5.01 lattice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9776])).
% 26.16/5.01 tff(f9776,axiom,(
% 26.16/5.01 lattice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Olattice_484)).
% 26.16/5.01 tff(f70234,plain,(
% 26.16/5.01 spl4009_641),
% 26.16/5.01 inference(avatar_split_clause,[],[f37498,f70231])).
% 26.16/5.01 tff(f70231,plain,(
% 26.16/5.01 spl4009_641 <=> lattice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_641])])).
% 26.16/5.01 tff(f37498,plain,(
% 26.16/5.01 lattice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9815])).
% 26.16/5.01 tff(f9815,axiom,(
% 26.16/5.01 lattice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Olattice_523)).
% 26.16/5.01 tff(f70229,plain,(
% 26.16/5.01 spl4009_640),
% 26.16/5.01 inference(avatar_split_clause,[],[f37497,f70226])).
% 26.16/5.01 tff(f70226,plain,(
% 26.16/5.01 spl4009_640 <=> distrib_lattice(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_640])])).
% 26.16/5.01 tff(f37497,plain,(
% 26.16/5.01 distrib_lattice(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9311])).
% 26.16/5.01 tff(f9311,axiom,(
% 26.16/5.01 distrib_lattice(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Lattices_Odistrib__lattice_54)).
% 26.16/5.01 tff(f70224,plain,(
% 26.16/5.01 spl4009_639),
% 26.16/5.01 inference(avatar_split_clause,[],[f37496,f70221])).
% 26.16/5.01 tff(f70221,plain,(
% 26.16/5.01 spl4009_639 <=> distrib_lattice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_639])])).
% 26.16/5.01 tff(f37496,plain,(
% 26.16/5.01 distrib_lattice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9493])).
% 26.16/5.01 tff(f9493,axiom,(
% 26.16/5.01 distrib_lattice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Odistrib__lattice_223)).
% 26.16/5.01 tff(f70219,plain,(
% 26.16/5.01 spl4009_638),
% 26.16/5.01 inference(avatar_split_clause,[],[f37495,f70216])).
% 26.16/5.01 tff(f70216,plain,(
% 26.16/5.01 spl4009_638 <=> distrib_lattice(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_638])])).
% 26.16/5.01 tff(f37495,plain,(
% 26.16/5.01 distrib_lattice(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9572])).
% 26.16/5.01 tff(f9572,axiom,(
% 26.16/5.01 distrib_lattice(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Lattices_Odistrib__lattice_282)).
% 26.16/5.01 tff(f70214,plain,(
% 26.16/5.01 spl4009_637),
% 26.16/5.01 inference(avatar_split_clause,[],[f37494,f70211])).
% 26.16/5.01 tff(f70211,plain,(
% 26.16/5.01 spl4009_637 <=> distrib_lattice(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_637])])).
% 26.16/5.01 tff(f37494,plain,(
% 26.16/5.01 distrib_lattice(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9209])).
% 26.16/5.01 tff(f9209,axiom,(
% 26.16/5.01 distrib_lattice(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Lattices_Odistrib__lattice_4)).
% 26.16/5.01 tff(f70209,plain,(
% 26.16/5.01 spl4009_636),
% 26.16/5.01 inference(avatar_split_clause,[],[f37493,f70206])).
% 26.16/5.01 tff(f70206,plain,(
% 26.16/5.01 spl4009_636 <=> distrib_lattice(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_636])])).
% 26.16/5.01 tff(f37493,plain,(
% 26.16/5.01 distrib_lattice(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9397])).
% 26.16/5.01 tff(f9397,axiom,(
% 26.16/5.01 distrib_lattice(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Lattices_Odistrib__lattice_133)).
% 26.16/5.01 tff(f70204,plain,(
% 26.16/5.01 spl4009_635),
% 26.16/5.01 inference(avatar_split_clause,[],[f37492,f70201])).
% 26.16/5.01 tff(f70201,plain,(
% 26.16/5.01 spl4009_635 <=> distrib_lattice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_635])])).
% 26.16/5.01 tff(f37492,plain,(
% 26.16/5.01 distrib_lattice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9752])).
% 26.16/5.01 tff(f9752,axiom,(
% 26.16/5.01 distrib_lattice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Odistrib__lattice_460)).
% 26.16/5.01 tff(f70199,plain,(
% 26.16/5.01 spl4009_634),
% 26.16/5.01 inference(avatar_split_clause,[],[f37491,f70196])).
% 26.16/5.01 tff(f70196,plain,(
% 26.16/5.01 spl4009_634 <=> distrib_lattice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_634])])).
% 26.16/5.01 tff(f37491,plain,(
% 26.16/5.01 distrib_lattice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9807])).
% 26.16/5.01 tff(f9807,axiom,(
% 26.16/5.01 distrib_lattice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Odistrib__lattice_515)).
% 26.16/5.01 tff(f70194,plain,(
% 26.16/5.01 spl4009_633),
% 26.16/5.01 inference(avatar_split_clause,[],[f37490,f70191])).
% 26.16/5.01 tff(f70191,plain,(
% 26.16/5.01 spl4009_633 <=> condit1219197933456340205attice(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_633])])).
% 26.16/5.01 tff(f37490,plain,(
% 26.16/5.01 condit1219197933456340205attice(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9266])).
% 26.16/5.01 tff(f9266,axiom,(
% 26.16/5.01 condit1219197933456340205attice(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_11)).
% 26.16/5.01 tff(f70189,plain,(
% 26.16/5.01 spl4009_632),
% 26.16/5.01 inference(avatar_split_clause,[],[f37489,f70186])).
% 26.16/5.01 tff(f70186,plain,(
% 26.16/5.01 spl4009_632 <=> condit1219197933456340205attice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_632])])).
% 26.16/5.01 tff(f37489,plain,(
% 26.16/5.01 condit1219197933456340205attice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9476])).
% 26.16/5.01 tff(f9476,axiom,(
% 26.16/5.01 condit1219197933456340205attice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_206)).
% 26.16/5.01 tff(f70184,plain,(
% 26.16/5.01 spl4009_631),
% 26.16/5.01 inference(avatar_split_clause,[],[f37488,f70181])).
% 26.16/5.01 tff(f70181,plain,(
% 26.16/5.01 spl4009_631 <=> condit1219197933456340205attice(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_631])])).
% 26.16/5.01 tff(f37488,plain,(
% 26.16/5.01 condit1219197933456340205attice(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9508])).
% 26.16/5.01 tff(f9508,axiom,(
% 26.16/5.01 condit1219197933456340205attice(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_238)).
% 26.16/5.01 tff(f70179,plain,(
% 26.16/5.01 spl4009_630),
% 26.16/5.01 inference(avatar_split_clause,[],[f37487,f70176])).
% 26.16/5.01 tff(f70176,plain,(
% 26.16/5.01 spl4009_630 <=> condit1219197933456340205attice(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_630])])).
% 26.16/5.01 tff(f37487,plain,(
% 26.16/5.01 condit1219197933456340205attice(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9156])).
% 26.16/5.01 tff(f9156,axiom,(
% 26.16/5.01 condit1219197933456340205attice(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_1)).
% 26.16/5.01 tff(f70174,plain,(
% 26.16/5.01 spl4009_629),
% 26.16/5.01 inference(avatar_split_clause,[],[f37486,f70171])).
% 26.16/5.01 tff(f70171,plain,(
% 26.16/5.01 spl4009_629 <=> condit1219197933456340205attice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_629])])).
% 26.16/5.01 tff(f37486,plain,(
% 26.16/5.01 condit1219197933456340205attice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9732])).
% 26.16/5.01 tff(f9732,axiom,(
% 26.16/5.01 condit1219197933456340205attice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_441)).
% 26.16/5.01 tff(f70169,plain,(
% 26.16/5.01 spl4009_628),
% 26.16/5.01 inference(avatar_split_clause,[],[f37485,f70166])).
% 26.16/5.01 tff(f70166,plain,(
% 26.16/5.01 spl4009_628 <=> condit1219197933456340205attice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_628])])).
% 26.16/5.01 tff(f37485,plain,(
% 26.16/5.01 condit1219197933456340205attice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9795])).
% 26.16/5.01 tff(f9795,axiom,(
% 26.16/5.01 condit1219197933456340205attice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__lattice_503)).
% 26.16/5.01 tff(f70164,plain,(
% 26.16/5.01 spl4009_627),
% 26.16/5.01 inference(avatar_split_clause,[],[f37484,f70161])).
% 26.16/5.01 tff(f70161,plain,(
% 26.16/5.01 spl4009_627 <=> uminus(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_627])])).
% 26.16/5.01 tff(f37484,plain,(
% 26.16/5.01 uminus(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9505])).
% 26.16/5.01 tff(f9505,axiom,(
% 26.16/5.01 uminus(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Groups_Ouminus_235)).
% 26.16/5.01 tff(f70159,plain,(
% 26.16/5.01 spl4009_626),
% 26.16/5.01 inference(avatar_split_clause,[],[f37483,f70156])).
% 26.16/5.01 tff(f70156,plain,(
% 26.16/5.01 spl4009_626 <=> uminus(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_626])])).
% 26.16/5.01 tff(f37483,plain,(
% 26.16/5.01 uminus(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9616])).
% 26.16/5.01 tff(f9616,axiom,(
% 26.16/5.01 uminus(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ouminus_325)).
% 26.16/5.01 tff(f70154,plain,(
% 26.16/5.01 spl4009_625),
% 26.16/5.01 inference(avatar_split_clause,[],[f37482,f70151])).
% 26.16/5.01 tff(f70151,plain,(
% 26.16/5.01 spl4009_625 <=> uminus(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_625])])).
% 26.16/5.01 tff(f37482,plain,(
% 26.16/5.01 uminus(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9254])).
% 26.16/5.01 tff(f9254,axiom,(
% 26.16/5.01 uminus(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ouminus_9)).
% 26.16/5.01 tff(f70149,plain,(
% 26.16/5.01 spl4009_624),
% 26.16/5.01 inference(avatar_split_clause,[],[f37481,f70146])).
% 26.16/5.01 tff(f70146,plain,(
% 26.16/5.01 spl4009_624 <=> uminus(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_624])])).
% 26.16/5.01 tff(f37481,plain,(
% 26.16/5.01 uminus(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9900])).
% 26.16/5.01 tff(f9900,axiom,(
% 26.16/5.01 uminus(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ouminus_608)).
% 26.16/5.01 tff(f70144,plain,(
% 26.16/5.01 spl4009_623),
% 26.16/5.01 inference(avatar_split_clause,[],[f37480,f70141])).
% 26.16/5.01 tff(f70141,plain,(
% 26.16/5.01 spl4009_623 <=> uminus(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_623])])).
% 26.16/5.01 tff(f37480,plain,(
% 26.16/5.01 uminus(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9440])).
% 26.16/5.01 tff(f9440,axiom,(
% 26.16/5.01 uminus(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ouminus_171)).
% 26.16/5.01 tff(f70139,plain,(
% 26.16/5.01 spl4009_622),
% 26.16/5.01 inference(avatar_split_clause,[],[f37479,f70136])).
% 26.16/5.01 tff(f70136,plain,(
% 26.16/5.01 spl4009_622 <=> uminus(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_622])])).
% 26.16/5.01 tff(f37479,plain,(
% 26.16/5.01 uminus(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9719])).
% 26.16/5.01 tff(f9719,axiom,(
% 26.16/5.01 uminus(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ouminus_428)).
% 26.16/5.01 tff(f70134,plain,(
% 26.16/5.01 spl4009_621),
% 26.16/5.01 inference(avatar_split_clause,[],[f37478,f70131])).
% 26.16/5.01 tff(f70131,plain,(
% 26.16/5.01 spl4009_621 <=> uminus(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_621])])).
% 26.16/5.01 tff(f37478,plain,(
% 26.16/5.01 uminus(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9820])).
% 26.16/5.01 tff(f9820,axiom,(
% 26.16/5.01 uminus(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Groups_Ouminus_528)).
% 26.16/5.01 tff(f70129,plain,(
% 26.16/5.01 spl4009_620),
% 26.16/5.01 inference(avatar_split_clause,[],[f37477,f70126])).
% 26.16/5.01 tff(f70126,plain,(
% 26.16/5.01 spl4009_620 <=> plus(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_620])])).
% 26.16/5.01 tff(f37477,plain,(
% 26.16/5.01 plus(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9351])).
% 26.16/5.01 tff(f9351,axiom,(
% 26.16/5.01 plus(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oplus_92)).
% 26.16/5.01 tff(f70124,plain,(
% 26.16/5.01 spl4009_619),
% 26.16/5.01 inference(avatar_split_clause,[],[f37476,f70121])).
% 26.16/5.01 tff(f70121,plain,(
% 26.16/5.01 spl4009_619 <=> plus(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_619])])).
% 26.16/5.01 tff(f37476,plain,(
% 26.16/5.01 plus(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9622])).
% 26.16/5.01 tff(f9622,axiom,(
% 26.16/5.01 plus(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oplus_331)).
% 26.16/5.01 tff(f70119,plain,(
% 26.16/5.01 spl4009_618),
% 26.16/5.01 inference(avatar_split_clause,[],[f37475,f70116])).
% 26.16/5.01 tff(f70116,plain,(
% 26.16/5.01 spl4009_618 <=> plus(num)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_618])])).
% 26.16/5.01 tff(f37475,plain,(
% 26.16/5.01 plus(num)),
% 26.16/5.01 inference(cnf_transformation,[],[f9359])).
% 26.16/5.01 tff(f9359,axiom,(
% 26.16/5.01 plus(num)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Groups_Oplus_99)).
% 26.16/5.01 tff(f70114,plain,(
% 26.16/5.01 spl4009_617),
% 26.16/5.01 inference(avatar_split_clause,[],[f37474,f70111])).
% 26.16/5.01 tff(f70111,plain,(
% 26.16/5.01 spl4009_617 <=> plus(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_617])])).
% 26.16/5.01 tff(f37474,plain,(
% 26.16/5.01 plus(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9260])).
% 26.16/5.01 tff(f9260,axiom,(
% 26.16/5.01 plus(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oplus)).
% 26.16/5.01 tff(f70109,plain,(
% 26.16/5.01 spl4009_616),
% 26.16/5.01 inference(avatar_split_clause,[],[f37473,f70106])).
% 26.16/5.01 tff(f70106,plain,(
% 26.16/5.01 spl4009_616 <=> plus(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_616])])).
% 26.16/5.01 tff(f37473,plain,(
% 26.16/5.01 plus(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9905])).
% 26.16/5.01 tff(f9905,axiom,(
% 26.16/5.01 plus(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oplus_613)).
% 26.16/5.01 tff(f70104,plain,(
% 26.16/5.01 spl4009_615),
% 26.16/5.01 inference(avatar_split_clause,[],[f37472,f70101])).
% 26.16/5.01 tff(f70101,plain,(
% 26.16/5.01 spl4009_615 <=> plus(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_615])])).
% 26.16/5.01 tff(f37472,plain,(
% 26.16/5.01 plus(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9446])).
% 26.16/5.01 tff(f9446,axiom,(
% 26.16/5.01 plus(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oplus_176)).
% 26.16/5.01 tff(f70099,plain,(
% 26.16/5.01 spl4009_614),
% 26.16/5.01 inference(avatar_split_clause,[],[f37471,f70096])).
% 26.16/5.01 tff(f70096,plain,(
% 26.16/5.01 spl4009_614 <=> plus(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_614])])).
% 26.16/5.01 tff(f37471,plain,(
% 26.16/5.01 plus(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9725])).
% 26.16/5.01 tff(f9725,axiom,(
% 26.16/5.01 plus(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oplus_434)).
% 26.16/5.01 tff(f70094,plain,(
% 26.16/5.01 spl4009_613),
% 26.16/5.01 inference(avatar_split_clause,[],[f37470,f70091])).
% 26.16/5.01 tff(f70091,plain,(
% 26.16/5.01 spl4009_613 <=> plus(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_613])])).
% 26.16/5.01 tff(f37470,plain,(
% 26.16/5.01 plus(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9785])).
% 26.16/5.01 tff(f9785,axiom,(
% 26.16/5.01 plus(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oplus_493)).
% 26.16/5.01 tff(f70089,plain,(
% 26.16/5.01 spl4009_612),
% 26.16/5.01 inference(avatar_split_clause,[],[f37469,f70086])).
% 26.16/5.01 tff(f70086,plain,(
% 26.16/5.01 spl4009_612 <=> plus(literal)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_612])])).
% 26.16/5.01 tff(f37469,plain,(
% 26.16/5.01 plus(literal)),
% 26.16/5.01 inference(cnf_transformation,[],[f9659])).
% 26.16/5.01 tff(f9659,axiom,(
% 26.16/5.01 plus(literal)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Oplus_368)).
% 26.16/5.01 tff(f70084,plain,(
% 26.16/5.01 spl4009_611),
% 26.16/5.01 inference(avatar_split_clause,[],[f37468,f70081])).
% 26.16/5.01 tff(f70081,plain,(
% 26.16/5.01 spl4009_611 <=> size(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_611])])).
% 26.16/5.01 tff(f37468,plain,(
% 26.16/5.01 size(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9354])).
% 26.16/5.01 tff(f9354,axiom,(
% 26.16/5.01 size(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osize)).
% 26.16/5.01 tff(f70079,plain,(
% 26.16/5.01 spl4009_610),
% 26.16/5.01 inference(avatar_split_clause,[],[f37467,f70076])).
% 26.16/5.01 tff(f70076,plain,(
% 26.16/5.01 spl4009_610 <=> size(num)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_610])])).
% 26.16/5.01 tff(f37467,plain,(
% 26.16/5.01 size(num)),
% 26.16/5.01 inference(cnf_transformation,[],[f9360])).
% 26.16/5.01 tff(f9360,axiom,(
% 26.16/5.01 size(num)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Num_Onum___Nat_Osize_100)).
% 26.16/5.01 tff(f70074,plain,(
% 26.16/5.01 spl4009_609),
% 26.16/5.01 inference(avatar_split_clause,[],[f37466,f70071])).
% 26.16/5.01 tff(f70071,plain,(
% 26.16/5.01 spl4009_609 <=> size(vEBT_VEBT)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_609])])).
% 26.16/5.01 tff(f37466,plain,(
% 26.16/5.01 size(vEBT_VEBT)),
% 26.16/5.01 inference(cnf_transformation,[],[f9910])).
% 26.16/5.01 tff(f9910,axiom,(
% 26.16/5.01 size(vEBT_VEBT)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_VEBT__Definitions_OVEBT___Nat_Osize_618)).
% 26.16/5.01 tff(f70069,plain,(
% 26.16/5.01 spl4009_608),
% 26.16/5.01 inference(avatar_split_clause,[],[f37465,f70066])).
% 26.16/5.01 tff(f70066,plain,(
% 26.16/5.01 spl4009_608 <=> size(char)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_608])])).
% 26.16/5.01 tff(f37465,plain,(
% 26.16/5.01 size(char)),
% 26.16/5.01 inference(cnf_transformation,[],[f9628])).
% 26.16/5.01 tff(f9628,axiom,(
% 26.16/5.01 size(char)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Ochar___Nat_Osize_337)).
% 26.16/5.01 tff(f70064,plain,(
% 26.16/5.01 spl4009_607),
% 26.16/5.01 inference(avatar_split_clause,[],[f37464,f70061])).
% 26.16/5.01 tff(f70061,plain,(
% 26.16/5.01 spl4009_607 <=> size(literal)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_607])])).
% 26.16/5.01 tff(f37464,plain,(
% 26.16/5.01 size(literal)),
% 26.16/5.01 inference(cnf_transformation,[],[f9660])).
% 26.16/5.01 tff(f9660,axiom,(
% 26.16/5.01 size(literal)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Nat_Osize_369)).
% 26.16/5.01 tff(f70059,plain,(
% 26.16/5.01 spl4009_606),
% 26.16/5.01 inference(avatar_split_clause,[],[f37463,f70056])).
% 26.16/5.01 tff(f70056,plain,(
% 26.16/5.01 spl4009_606 <=> monoid_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_606])])).
% 26.16/5.01 tff(f37463,plain,(
% 26.16/5.01 monoid_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9337])).
% 26.16/5.01 tff(f9337,axiom,(
% 26.16/5.01 monoid_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__add_78)).
% 26.16/5.01 tff(f70054,plain,(
% 26.16/5.01 spl4009_605),
% 26.16/5.01 inference(avatar_split_clause,[],[f37462,f70051])).
% 26.16/5.01 tff(f70051,plain,(
% 26.16/5.01 spl4009_605 <=> monoid_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_605])])).
% 26.16/5.01 tff(f37462,plain,(
% 26.16/5.01 monoid_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9602])).
% 26.16/5.01 tff(f9602,axiom,(
% 26.16/5.01 monoid_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__add_311)).
% 26.16/5.01 tff(f70049,plain,(
% 26.16/5.01 spl4009_604),
% 26.16/5.01 inference(avatar_split_clause,[],[f37461,f70046])).
% 26.16/5.01 tff(f70046,plain,(
% 26.16/5.01 spl4009_604 <=> monoid_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_604])])).
% 26.16/5.01 tff(f37461,plain,(
% 26.16/5.01 monoid_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9239])).
% 26.16/5.01 tff(f9239,axiom,(
% 26.16/5.01 monoid_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__add)).
% 26.16/5.01 tff(f70044,plain,(
% 26.16/5.01 spl4009_603),
% 26.16/5.01 inference(avatar_split_clause,[],[f37460,f70041])).
% 26.16/5.01 tff(f70041,plain,(
% 26.16/5.01 spl4009_603 <=> monoid_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_603])])).
% 26.16/5.01 tff(f37460,plain,(
% 26.16/5.01 monoid_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9890])).
% 26.16/5.01 tff(f9890,axiom,(
% 26.16/5.01 monoid_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__add_598)).
% 26.16/5.01 tff(f70039,plain,(
% 26.16/5.01 spl4009_602),
% 26.16/5.01 inference(avatar_split_clause,[],[f37459,f70036])).
% 26.16/5.01 tff(f70036,plain,(
% 26.16/5.01 spl4009_602 <=> monoid_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_602])])).
% 26.16/5.01 tff(f37459,plain,(
% 26.16/5.01 monoid_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9426])).
% 26.16/5.01 tff(f9426,axiom,(
% 26.16/5.01 monoid_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__add_158)).
% 26.16/5.01 tff(f70034,plain,(
% 26.16/5.01 spl4009_601),
% 26.16/5.01 inference(avatar_split_clause,[],[f37458,f70031])).
% 26.16/5.01 tff(f70031,plain,(
% 26.16/5.01 spl4009_601 <=> monoid_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_601])])).
% 26.16/5.01 tff(f37458,plain,(
% 26.16/5.01 monoid_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9710])).
% 26.16/5.01 tff(f9710,axiom,(
% 26.16/5.01 monoid_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__add_419)).
% 26.16/5.01 tff(f70029,plain,(
% 26.16/5.01 spl4009_600),
% 26.16/5.01 inference(avatar_split_clause,[],[f37457,f70026])).
% 26.16/5.01 tff(f70026,plain,(
% 26.16/5.01 spl4009_600 <=> monoid_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_600])])).
% 26.16/5.01 tff(f37457,plain,(
% 26.16/5.01 monoid_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9773])).
% 26.16/5.01 tff(f9773,axiom,(
% 26.16/5.01 monoid_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__add_481)).
% 26.16/5.01 tff(f70024,plain,(
% 26.16/5.01 spl4009_599),
% 26.16/5.01 inference(avatar_split_clause,[],[f37456,f70021])).
% 26.16/5.01 tff(f70021,plain,(
% 26.16/5.01 spl4009_599 <=> monoid_add(literal)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_599])])).
% 26.16/5.01 tff(f37456,plain,(
% 26.16/5.01 monoid_add(literal)),
% 26.16/5.01 inference(cnf_transformation,[],[f9655])).
% 26.16/5.01 tff(f9655,axiom,(
% 26.16/5.01 monoid_add(literal)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Omonoid__add_364)).
% 26.16/5.01 tff(f70019,plain,(
% 26.16/5.01 spl4009_598),
% 26.16/5.01 inference(avatar_split_clause,[],[f37455,f70016])).
% 26.16/5.01 tff(f70016,plain,(
% 26.16/5.01 spl4009_598 <=> finite_finite(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_598])])).
% 26.16/5.01 tff(f37455,plain,(
% 26.16/5.01 finite_finite(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9499])).
% 26.16/5.01 tff(f9499,axiom,(
% 26.16/5.01 finite_finite(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Finite__Set_Ofinite_229)).
% 26.16/5.01 tff(f70014,plain,(
% 26.16/5.01 spl4009_597),
% 26.16/5.01 inference(avatar_split_clause,[],[f37454,f70011])).
% 26.16/5.01 tff(f70011,plain,(
% 26.16/5.01 spl4009_597 <=> finite_finite(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_597])])).
% 26.16/5.01 tff(f37454,plain,(
% 26.16/5.01 finite_finite(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9814])).
% 26.16/5.01 tff(f9814,axiom,(
% 26.16/5.01 finite_finite(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Finite__Set_Ofinite_522)).
% 26.16/5.01 tff(f70009,plain,(
% 26.16/5.01 spl4009_596),
% 26.16/5.01 inference(avatar_split_clause,[],[f37453,f70006])).
% 26.16/5.01 tff(f70006,plain,(
% 26.16/5.01 spl4009_596 <=> finite_finite(char)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_596])])).
% 26.16/5.01 tff(f37453,plain,(
% 26.16/5.01 finite_finite(char)),
% 26.16/5.01 inference(cnf_transformation,[],[f9627])).
% 26.16/5.01 tff(f9627,axiom,(
% 26.16/5.01 finite_finite(char)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Ochar___Finite__Set_Ofinite_336)).
% 26.16/5.01 tff(f70004,plain,(
% 26.16/5.01 spl4009_595),
% 26.16/5.01 inference(avatar_split_clause,[],[f37452,f70001])).
% 26.16/5.01 tff(f70001,plain,(
% 26.16/5.01 spl4009_595 <=> zero(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_595])])).
% 26.16/5.01 tff(f37452,plain,(
% 26.16/5.01 zero(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9350])).
% 26.16/5.01 tff(f9350,axiom,(
% 26.16/5.01 zero(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ozero_91)).
% 26.16/5.01 tff(f69999,plain,(
% 26.16/5.01 spl4009_594),
% 26.16/5.01 inference(avatar_split_clause,[],[f37451,f69996])).
% 26.16/5.01 tff(f69996,plain,(
% 26.16/5.01 spl4009_594 <=> zero(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_594])])).
% 26.16/5.01 tff(f37451,plain,(
% 26.16/5.01 zero(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9621])).
% 26.16/5.01 tff(f9621,axiom,(
% 26.16/5.01 zero(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ozero_330)).
% 26.16/5.01 tff(f69994,plain,(
% 26.16/5.01 spl4009_593),
% 26.16/5.01 inference(avatar_split_clause,[],[f37450,f69991])).
% 26.16/5.01 tff(f69991,plain,(
% 26.16/5.01 spl4009_593 <=> zero(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_593])])).
% 26.16/5.01 tff(f37450,plain,(
% 26.16/5.01 zero(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9259])).
% 26.16/5.01 tff(f9259,axiom,(
% 26.16/5.01 zero(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ozero)).
% 26.16/5.01 tff(f69989,plain,(
% 26.16/5.01 spl4009_592),
% 26.16/5.01 inference(avatar_split_clause,[],[f37449,f69986])).
% 26.16/5.01 tff(f69986,plain,(
% 26.16/5.01 spl4009_592 <=> zero(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_592])])).
% 26.16/5.01 tff(f37449,plain,(
% 26.16/5.01 zero(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9904])).
% 26.16/5.01 tff(f9904,axiom,(
% 26.16/5.01 zero(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ozero_612)).
% 26.16/5.01 tff(f69984,plain,(
% 26.16/5.01 spl4009_591),
% 26.16/5.01 inference(avatar_split_clause,[],[f37448,f69981])).
% 26.16/5.01 tff(f69981,plain,(
% 26.16/5.01 spl4009_591 <=> zero(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_591])])).
% 26.16/5.01 tff(f37448,plain,(
% 26.16/5.01 zero(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9445])).
% 26.16/5.01 tff(f9445,axiom,(
% 26.16/5.01 zero(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ozero_175)).
% 26.16/5.01 tff(f69979,plain,(
% 26.16/5.01 spl4009_590),
% 26.16/5.01 inference(avatar_split_clause,[],[f37447,f69976])).
% 26.16/5.01 tff(f69976,plain,(
% 26.16/5.01 spl4009_590 <=> zero(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_590])])).
% 26.16/5.01 tff(f37447,plain,(
% 26.16/5.01 zero(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9724])).
% 26.16/5.01 tff(f9724,axiom,(
% 26.16/5.01 zero(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ozero_433)).
% 26.16/5.01 tff(f69974,plain,(
% 26.16/5.01 spl4009_589),
% 26.16/5.01 inference(avatar_split_clause,[],[f37446,f69971])).
% 26.16/5.01 tff(f69971,plain,(
% 26.16/5.01 spl4009_589 <=> zero(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_589])])).
% 26.16/5.01 tff(f37446,plain,(
% 26.16/5.01 zero(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9784])).
% 26.16/5.01 tff(f9784,axiom,(
% 26.16/5.01 zero(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ozero_492)).
% 26.16/5.01 tff(f69969,plain,(
% 26.16/5.01 spl4009_588),
% 26.16/5.01 inference(avatar_split_clause,[],[f37445,f69966])).
% 26.16/5.01 tff(f69966,plain,(
% 26.16/5.01 spl4009_588 <=> zero(literal)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_588])])).
% 26.16/5.01 tff(f37445,plain,(
% 26.16/5.01 zero(literal)),
% 26.16/5.01 inference(cnf_transformation,[],[f9658])).
% 26.16/5.01 tff(f9658,axiom,(
% 26.16/5.01 zero(literal)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Ozero_367)).
% 26.16/5.01 tff(f69964,plain,(
% 26.16/5.01 spl4009_587),
% 26.16/5.01 inference(avatar_split_clause,[],[f37444,f69961])).
% 26.16/5.01 tff(f69961,plain,(
% 26.16/5.01 spl4009_587 <=> semigroup_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_587])])).
% 26.16/5.01 tff(f37444,plain,(
% 26.16/5.01 semigroup_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9328])).
% 26.16/5.01 tff(f9328,axiom,(
% 26.16/5.01 semigroup_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__add_70)).
% 26.16/5.01 tff(f69959,plain,(
% 26.16/5.01 spl4009_586),
% 26.16/5.01 inference(avatar_split_clause,[],[f37443,f69956])).
% 26.16/5.01 tff(f69956,plain,(
% 26.16/5.01 spl4009_586 <=> semigroup_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_586])])).
% 26.16/5.01 tff(f37443,plain,(
% 26.16/5.01 semigroup_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9589])).
% 26.16/5.01 tff(f9589,axiom,(
% 26.16/5.01 semigroup_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__add_299)).
% 26.16/5.01 tff(f69954,plain,(
% 26.16/5.01 spl4009_585),
% 26.16/5.01 inference(avatar_split_clause,[],[f37442,f69951])).
% 26.16/5.01 tff(f69951,plain,(
% 26.16/5.01 spl4009_585 <=> semigroup_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_585])])).
% 26.16/5.01 tff(f37442,plain,(
% 26.16/5.01 semigroup_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9228])).
% 26.16/5.01 tff(f9228,axiom,(
% 26.16/5.01 semigroup_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__add)).
% 26.16/5.01 tff(f69949,plain,(
% 26.16/5.01 spl4009_584),
% 26.16/5.01 inference(avatar_split_clause,[],[f37441,f69946])).
% 26.16/5.01 tff(f69946,plain,(
% 26.16/5.01 spl4009_584 <=> semigroup_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_584])])).
% 26.16/5.01 tff(f37441,plain,(
% 26.16/5.01 semigroup_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9879])).
% 26.16/5.01 tff(f9879,axiom,(
% 26.16/5.01 semigroup_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__add_587)).
% 26.16/5.01 tff(f69944,plain,(
% 26.16/5.01 spl4009_583),
% 26.16/5.01 inference(avatar_split_clause,[],[f37440,f69941])).
% 26.16/5.01 tff(f69941,plain,(
% 26.16/5.01 spl4009_583 <=> semigroup_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_583])])).
% 26.16/5.01 tff(f37440,plain,(
% 26.16/5.01 semigroup_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9414])).
% 26.16/5.01 tff(f9414,axiom,(
% 26.16/5.01 semigroup_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__add_148)).
% 26.16/5.01 tff(f69939,plain,(
% 26.16/5.01 spl4009_582),
% 26.16/5.01 inference(avatar_split_clause,[],[f37439,f69936])).
% 26.16/5.01 tff(f69936,plain,(
% 26.16/5.01 spl4009_582 <=> semigroup_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_582])])).
% 26.16/5.01 tff(f37439,plain,(
% 26.16/5.01 semigroup_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9702])).
% 26.16/5.01 tff(f9702,axiom,(
% 26.16/5.01 semigroup_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__add_411)).
% 26.16/5.01 tff(f69934,plain,(
% 26.16/5.01 spl4009_581),
% 26.16/5.01 inference(avatar_split_clause,[],[f37438,f69931])).
% 26.16/5.01 tff(f69931,plain,(
% 26.16/5.01 spl4009_581 <=> semigroup_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_581])])).
% 26.16/5.01 tff(f37438,plain,(
% 26.16/5.01 semigroup_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9763])).
% 26.16/5.01 tff(f9763,axiom,(
% 26.16/5.01 semigroup_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__add_471)).
% 26.16/5.01 tff(f69929,plain,(
% 26.16/5.01 spl4009_580),
% 26.16/5.01 inference(avatar_split_clause,[],[f37437,f69926])).
% 26.16/5.01 tff(f69926,plain,(
% 26.16/5.01 spl4009_580 <=> semigroup_add(literal)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_580])])).
% 26.16/5.01 tff(f37437,plain,(
% 26.16/5.01 semigroup_add(literal)),
% 26.16/5.01 inference(cnf_transformation,[],[f9652])).
% 26.16/5.01 tff(f9652,axiom,(
% 26.16/5.01 semigroup_add(literal)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_String_Oliteral___Groups_Osemigroup__add_361)).
% 26.16/5.01 tff(f69924,plain,(
% 26.16/5.01 spl4009_579),
% 26.16/5.01 inference(avatar_split_clause,[],[f37436,f69921])).
% 26.16/5.01 tff(f69921,plain,(
% 26.16/5.01 spl4009_579 <=> comm_monoid_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_579])])).
% 26.16/5.01 tff(f37436,plain,(
% 26.16/5.01 comm_monoid_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9320])).
% 26.16/5.01 tff(f9320,axiom,(
% 26.16/5.01 comm_monoid_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__add_62)).
% 26.16/5.01 tff(f69919,plain,(
% 26.16/5.01 spl4009_578),
% 26.16/5.01 inference(avatar_split_clause,[],[f37435,f69916])).
% 26.16/5.01 tff(f69916,plain,(
% 26.16/5.01 spl4009_578 <=> comm_monoid_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_578])])).
% 26.16/5.01 tff(f37435,plain,(
% 26.16/5.01 comm_monoid_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9580])).
% 26.16/5.01 tff(f9580,axiom,(
% 26.16/5.01 comm_monoid_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__add_290)).
% 26.16/5.01 tff(f69914,plain,(
% 26.16/5.01 spl4009_577),
% 26.16/5.01 inference(avatar_split_clause,[],[f37434,f69911])).
% 26.16/5.01 tff(f69911,plain,(
% 26.16/5.01 spl4009_577 <=> comm_monoid_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_577])])).
% 26.16/5.01 tff(f37434,plain,(
% 26.16/5.01 comm_monoid_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9218])).
% 26.16/5.01 tff(f9218,axiom,(
% 26.16/5.01 comm_monoid_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__add)).
% 26.16/5.01 tff(f69909,plain,(
% 26.16/5.01 spl4009_576),
% 26.16/5.01 inference(avatar_split_clause,[],[f37433,f69906])).
% 26.16/5.01 tff(f69906,plain,(
% 26.16/5.01 spl4009_576 <=> comm_monoid_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_576])])).
% 26.16/5.01 tff(f37433,plain,(
% 26.16/5.01 comm_monoid_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9869])).
% 26.16/5.01 tff(f9869,axiom,(
% 26.16/5.01 comm_monoid_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__add_577)).
% 26.16/5.01 tff(f69904,plain,(
% 26.16/5.01 spl4009_575),
% 26.16/5.01 inference(avatar_split_clause,[],[f37432,f69901])).
% 26.16/5.01 tff(f69901,plain,(
% 26.16/5.01 spl4009_575 <=> comm_monoid_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_575])])).
% 26.16/5.01 tff(f37432,plain,(
% 26.16/5.01 comm_monoid_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9405])).
% 26.16/5.01 tff(f9405,axiom,(
% 26.16/5.01 comm_monoid_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__add_140)).
% 26.16/5.01 tff(f69899,plain,(
% 26.16/5.01 spl4009_574),
% 26.16/5.01 inference(avatar_split_clause,[],[f37431,f69896])).
% 26.16/5.01 tff(f69896,plain,(
% 26.16/5.01 spl4009_574 <=> comm_monoid_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_574])])).
% 26.16/5.01 tff(f37431,plain,(
% 26.16/5.01 comm_monoid_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9696])).
% 26.16/5.01 tff(f9696,axiom,(
% 26.16/5.01 comm_monoid_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__add_405)).
% 26.16/5.01 tff(f69894,plain,(
% 26.16/5.01 spl4009_573),
% 26.16/5.01 inference(avatar_split_clause,[],[f37430,f69891])).
% 26.16/5.01 tff(f69891,plain,(
% 26.16/5.01 spl4009_573 <=> comm_monoid_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_573])])).
% 26.16/5.01 tff(f37430,plain,(
% 26.16/5.01 comm_monoid_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9758])).
% 26.16/5.01 tff(f9758,axiom,(
% 26.16/5.01 comm_monoid_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__add_466)).
% 26.16/5.01 tff(f69889,plain,(
% 26.16/5.01 spl4009_572),
% 26.16/5.01 inference(avatar_split_clause,[],[f37429,f69886])).
% 26.16/5.01 tff(f69886,plain,(
% 26.16/5.01 spl4009_572 <=> comm_monoid_mult(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_572])])).
% 26.16/5.01 tff(f37429,plain,(
% 26.16/5.01 comm_monoid_mult(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9315])).
% 26.16/5.01 tff(f9315,axiom,(
% 26.16/5.01 comm_monoid_mult(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__mult_58)).
% 26.16/5.01 tff(f69884,plain,(
% 26.16/5.01 spl4009_571),
% 26.16/5.01 inference(avatar_split_clause,[],[f37428,f69881])).
% 26.16/5.01 tff(f69881,plain,(
% 26.16/5.01 spl4009_571 <=> comm_monoid_mult(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_571])])).
% 26.16/5.01 tff(f37428,plain,(
% 26.16/5.01 comm_monoid_mult(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9575])).
% 26.16/5.01 tff(f9575,axiom,(
% 26.16/5.01 comm_monoid_mult(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocomm__monoid__mult_285)).
% 26.16/5.01 tff(f69879,plain,(
% 26.16/5.01 spl4009_570),
% 26.16/5.01 inference(avatar_split_clause,[],[f37427,f69876])).
% 26.16/5.01 tff(f69876,plain,(
% 26.16/5.01 spl4009_570 <=> comm_monoid_mult(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_570])])).
% 26.16/5.01 tff(f37427,plain,(
% 26.16/5.01 comm_monoid_mult(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9213])).
% 26.16/5.01 tff(f9213,axiom,(
% 26.16/5.01 comm_monoid_mult(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocomm__monoid__mult)).
% 26.16/5.01 tff(f69874,plain,(
% 26.16/5.01 spl4009_569),
% 26.16/5.01 inference(avatar_split_clause,[],[f37426,f69871])).
% 26.16/5.01 tff(f69871,plain,(
% 26.16/5.01 spl4009_569 <=> comm_monoid_mult(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_569])])).
% 26.16/5.01 tff(f37426,plain,(
% 26.16/5.01 comm_monoid_mult(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9864])).
% 26.16/5.01 tff(f9864,axiom,(
% 26.16/5.01 comm_monoid_mult(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocomm__monoid__mult_572)).
% 26.16/5.01 tff(f69869,plain,(
% 26.16/5.01 spl4009_568),
% 26.16/5.01 inference(avatar_split_clause,[],[f37425,f69866])).
% 26.16/5.01 tff(f69866,plain,(
% 26.16/5.01 spl4009_568 <=> comm_monoid_mult(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_568])])).
% 26.16/5.01 tff(f37425,plain,(
% 26.16/5.01 comm_monoid_mult(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9400])).
% 26.16/5.01 tff(f9400,axiom,(
% 26.16/5.01 comm_monoid_mult(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocomm__monoid__mult_136)).
% 26.16/5.01 tff(f69864,plain,(
% 26.16/5.01 spl4009_567),
% 26.16/5.01 inference(avatar_split_clause,[],[f37424,f69861])).
% 26.16/5.01 tff(f69861,plain,(
% 26.16/5.01 spl4009_567 <=> comm_monoid_mult(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_567])])).
% 26.16/5.01 tff(f37424,plain,(
% 26.16/5.01 comm_monoid_mult(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9694])).
% 26.16/5.01 tff(f9694,axiom,(
% 26.16/5.01 comm_monoid_mult(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocomm__monoid__mult_403)).
% 26.16/5.01 tff(f69859,plain,(
% 26.16/5.01 spl4009_566),
% 26.16/5.01 inference(avatar_split_clause,[],[f37423,f69856])).
% 26.16/5.01 tff(f69856,plain,(
% 26.16/5.01 spl4009_566 <=> comm_monoid_mult(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_566])])).
% 26.16/5.01 tff(f37423,plain,(
% 26.16/5.01 comm_monoid_mult(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9755])).
% 26.16/5.01 tff(f9755,axiom,(
% 26.16/5.01 comm_monoid_mult(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocomm__monoid__mult_463)).
% 26.16/5.01 tff(f69854,plain,(
% 26.16/5.01 spl4009_565),
% 26.16/5.01 inference(avatar_split_clause,[],[f37422,f69851])).
% 26.16/5.01 tff(f69851,plain,(
% 26.16/5.01 spl4009_565 <=> semiring_1(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_565])])).
% 26.16/5.01 tff(f37422,plain,(
% 26.16/5.01 semiring_1(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9338])).
% 26.16/5.01 tff(f9338,axiom,(
% 26.16/5.01 semiring_1(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1_79)).
% 26.16/5.01 tff(f69849,plain,(
% 26.16/5.01 spl4009_564),
% 26.16/5.01 inference(avatar_split_clause,[],[f37421,f69846])).
% 26.16/5.01 tff(f69846,plain,(
% 26.16/5.01 spl4009_564 <=> semiring_1(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_564])])).
% 26.16/5.01 tff(f37421,plain,(
% 26.16/5.01 semiring_1(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9603])).
% 26.16/5.01 tff(f9603,axiom,(
% 26.16/5.01 semiring_1(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1_312)).
% 26.16/5.01 tff(f69844,plain,(
% 26.16/5.01 spl4009_563),
% 26.16/5.01 inference(avatar_split_clause,[],[f37420,f69841])).
% 26.16/5.01 tff(f69841,plain,(
% 26.16/5.01 spl4009_563 <=> semiring_1(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_563])])).
% 26.16/5.01 tff(f37420,plain,(
% 26.16/5.01 semiring_1(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9240])).
% 26.16/5.01 tff(f9240,axiom,(
% 26.16/5.01 semiring_1(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1)).
% 26.16/5.01 tff(f69839,plain,(
% 26.16/5.01 spl4009_562),
% 26.16/5.01 inference(avatar_split_clause,[],[f37419,f69836])).
% 26.16/5.01 tff(f69836,plain,(
% 26.16/5.01 spl4009_562 <=> semiring_1(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_562])])).
% 26.16/5.01 tff(f37419,plain,(
% 26.16/5.01 semiring_1(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9891])).
% 26.16/5.01 tff(f9891,axiom,(
% 26.16/5.01 semiring_1(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1_599)).
% 26.16/5.01 tff(f69834,plain,(
% 26.16/5.01 spl4009_561),
% 26.16/5.01 inference(avatar_split_clause,[],[f37418,f69831])).
% 26.16/5.01 tff(f69831,plain,(
% 26.16/5.01 spl4009_561 <=> semiring_1(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_561])])).
% 26.16/5.01 tff(f37418,plain,(
% 26.16/5.01 semiring_1(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9427])).
% 26.16/5.01 tff(f9427,axiom,(
% 26.16/5.01 semiring_1(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1_159)).
% 26.16/5.01 tff(f69829,plain,(
% 26.16/5.01 spl4009_560),
% 26.16/5.01 inference(avatar_split_clause,[],[f37417,f69826])).
% 26.16/5.01 tff(f69826,plain,(
% 26.16/5.01 spl4009_560 <=> semiring_1(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_560])])).
% 26.16/5.01 tff(f37417,plain,(
% 26.16/5.01 semiring_1(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9711])).
% 26.16/5.01 tff(f9711,axiom,(
% 26.16/5.01 semiring_1(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1_420)).
% 26.16/5.01 tff(f69824,plain,(
% 26.16/5.01 spl4009_559),
% 26.16/5.01 inference(avatar_split_clause,[],[f37416,f69821])).
% 26.16/5.01 tff(f69821,plain,(
% 26.16/5.01 spl4009_559 <=> semiring_1(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_559])])).
% 26.16/5.01 tff(f37416,plain,(
% 26.16/5.01 semiring_1(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9774])).
% 26.16/5.01 tff(f9774,axiom,(
% 26.16/5.01 semiring_1(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__1_482)).
% 26.16/5.01 tff(f69819,plain,(
% 26.16/5.01 spl4009_558),
% 26.16/5.01 inference(avatar_split_clause,[],[f37415,f69816])).
% 26.16/5.01 tff(f69816,plain,(
% 26.16/5.01 spl4009_558 <=> monoid_mult(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_558])])).
% 26.16/5.01 tff(f37415,plain,(
% 26.16/5.01 monoid_mult(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9336])).
% 26.16/5.01 tff(f9336,axiom,(
% 26.16/5.01 monoid_mult(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Omonoid__mult_77)).
% 26.16/5.01 tff(f69814,plain,(
% 26.16/5.01 spl4009_557),
% 26.16/5.01 inference(avatar_split_clause,[],[f37414,f69811])).
% 26.16/5.01 tff(f69811,plain,(
% 26.16/5.01 spl4009_557 <=> monoid_mult(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_557])])).
% 26.16/5.01 tff(f37414,plain,(
% 26.16/5.01 monoid_mult(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9599])).
% 26.16/5.01 tff(f9599,axiom,(
% 26.16/5.01 monoid_mult(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Omonoid__mult_309)).
% 26.16/5.01 tff(f69809,plain,(
% 26.16/5.01 spl4009_556),
% 26.16/5.01 inference(avatar_split_clause,[],[f37413,f69806])).
% 26.16/5.01 tff(f69806,plain,(
% 26.16/5.01 spl4009_556 <=> monoid_mult(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_556])])).
% 26.16/5.01 tff(f37413,plain,(
% 26.16/5.01 monoid_mult(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9237])).
% 26.16/5.01 tff(f9237,axiom,(
% 26.16/5.01 monoid_mult(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Omonoid__mult)).
% 26.16/5.01 tff(f69804,plain,(
% 26.16/5.01 spl4009_555),
% 26.16/5.01 inference(avatar_split_clause,[],[f37412,f69801])).
% 26.16/5.01 tff(f69801,plain,(
% 26.16/5.01 spl4009_555 <=> monoid_mult(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_555])])).
% 26.16/5.01 tff(f37412,plain,(
% 26.16/5.01 monoid_mult(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9888])).
% 26.16/5.01 tff(f9888,axiom,(
% 26.16/5.01 monoid_mult(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Omonoid__mult_596)).
% 26.16/5.01 tff(f69799,plain,(
% 26.16/5.01 spl4009_554),
% 26.16/5.01 inference(avatar_split_clause,[],[f37411,f69796])).
% 26.16/5.01 tff(f69796,plain,(
% 26.16/5.01 spl4009_554 <=> monoid_mult(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_554])])).
% 26.16/5.01 tff(f37411,plain,(
% 26.16/5.01 monoid_mult(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9424])).
% 26.16/5.01 tff(f9424,axiom,(
% 26.16/5.01 monoid_mult(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Omonoid__mult_156)).
% 26.16/5.01 tff(f69794,plain,(
% 26.16/5.01 spl4009_553),
% 26.16/5.01 inference(avatar_split_clause,[],[f37410,f69791])).
% 26.16/5.01 tff(f69791,plain,(
% 26.16/5.01 spl4009_553 <=> monoid_mult(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_553])])).
% 26.16/5.01 tff(f37410,plain,(
% 26.16/5.01 monoid_mult(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9708])).
% 26.16/5.01 tff(f9708,axiom,(
% 26.16/5.01 monoid_mult(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Omonoid__mult_417)).
% 26.16/5.01 tff(f69789,plain,(
% 26.16/5.01 spl4009_552),
% 26.16/5.01 inference(avatar_split_clause,[],[f37409,f69786])).
% 26.16/5.01 tff(f69786,plain,(
% 26.16/5.01 spl4009_552 <=> monoid_mult(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_552])])).
% 26.16/5.01 tff(f37409,plain,(
% 26.16/5.01 monoid_mult(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9772])).
% 26.16/5.01 tff(f9772,axiom,(
% 26.16/5.01 monoid_mult(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Omonoid__mult_480)).
% 26.16/5.01 tff(f69784,plain,(
% 26.16/5.01 spl4009_551),
% 26.16/5.01 inference(avatar_split_clause,[],[f37408,f69781])).
% 26.16/5.01 tff(f69781,plain,(
% 26.16/5.01 spl4009_551 <=> comm_semiring_1(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_551])])).
% 26.16/5.01 tff(f37408,plain,(
% 26.16/5.01 comm_semiring_1(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9322])).
% 26.16/5.01 tff(f9322,axiom,(
% 26.16/5.01 comm_semiring_1(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1_64)).
% 26.16/5.01 tff(f69779,plain,(
% 26.16/5.01 spl4009_550),
% 26.16/5.01 inference(avatar_split_clause,[],[f37407,f69776])).
% 26.16/5.01 tff(f69776,plain,(
% 26.16/5.01 spl4009_550 <=> comm_semiring_1(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_550])])).
% 26.16/5.01 tff(f37407,plain,(
% 26.16/5.01 comm_semiring_1(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9583])).
% 26.16/5.01 tff(f9583,axiom,(
% 26.16/5.01 comm_semiring_1(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1_293)).
% 26.16/5.01 tff(f69774,plain,(
% 26.16/5.01 spl4009_549),
% 26.16/5.01 inference(avatar_split_clause,[],[f37406,f69771])).
% 26.16/5.01 tff(f69771,plain,(
% 26.16/5.01 spl4009_549 <=> comm_semiring_1(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_549])])).
% 26.16/5.01 tff(f37406,plain,(
% 26.16/5.01 comm_semiring_1(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9222])).
% 26.16/5.01 tff(f9222,axiom,(
% 26.16/5.01 comm_semiring_1(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1)).
% 26.16/5.01 tff(f69769,plain,(
% 26.16/5.01 spl4009_548),
% 26.16/5.01 inference(avatar_split_clause,[],[f37405,f69766])).
% 26.16/5.01 tff(f69766,plain,(
% 26.16/5.01 spl4009_548 <=> comm_semiring_1(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_548])])).
% 26.16/5.01 tff(f37405,plain,(
% 26.16/5.01 comm_semiring_1(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9873])).
% 26.16/5.01 tff(f9873,axiom,(
% 26.16/5.01 comm_semiring_1(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1_581)).
% 26.16/5.01 tff(f69764,plain,(
% 26.16/5.01 spl4009_547),
% 26.16/5.01 inference(avatar_split_clause,[],[f37404,f69761])).
% 26.16/5.01 tff(f69761,plain,(
% 26.16/5.01 spl4009_547 <=> comm_semiring_1(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_547])])).
% 26.16/5.01 tff(f37404,plain,(
% 26.16/5.01 comm_semiring_1(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9408])).
% 26.16/5.01 tff(f9408,axiom,(
% 26.16/5.01 comm_semiring_1(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1_143)).
% 26.16/5.01 tff(f69759,plain,(
% 26.16/5.01 spl4009_546),
% 26.16/5.01 inference(avatar_split_clause,[],[f37403,f69756])).
% 26.16/5.01 tff(f69756,plain,(
% 26.16/5.01 spl4009_546 <=> comm_semiring_1(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_546])])).
% 26.16/5.01 tff(f37403,plain,(
% 26.16/5.01 comm_semiring_1(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9697])).
% 26.16/5.01 tff(f9697,axiom,(
% 26.16/5.01 comm_semiring_1(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1_406)).
% 26.16/5.01 tff(f69754,plain,(
% 26.16/5.01 spl4009_545),
% 26.16/5.01 inference(avatar_split_clause,[],[f37402,f69751])).
% 26.16/5.01 tff(f69751,plain,(
% 26.16/5.01 spl4009_545 <=> comm_semiring_1(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_545])])).
% 26.16/5.01 tff(f37402,plain,(
% 26.16/5.01 comm_semiring_1(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9759])).
% 26.16/5.01 tff(f9759,axiom,(
% 26.16/5.01 comm_semiring_1(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__1_467)).
% 26.16/5.01 tff(f69749,plain,(
% 26.16/5.01 spl4009_544),
% 26.16/5.01 inference(avatar_split_clause,[],[f37401,f69746])).
% 26.16/5.01 tff(f69746,plain,(
% 26.16/5.01 spl4009_544 <=> semiring_char_0(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_544])])).
% 26.16/5.01 tff(f37401,plain,(
% 26.16/5.01 semiring_char_0(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9333])).
% 26.16/5.01 tff(f9333,axiom,(
% 26.16/5.01 semiring_char_0(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Nat_Osemiring__char__0_74)).
% 26.16/5.01 tff(f69744,plain,(
% 26.16/5.01 spl4009_543),
% 26.16/5.01 inference(avatar_split_clause,[],[f37400,f69741])).
% 26.16/5.01 tff(f69741,plain,(
% 26.16/5.01 spl4009_543 <=> semiring_char_0(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_543])])).
% 26.16/5.01 tff(f37400,plain,(
% 26.16/5.01 semiring_char_0(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9593])).
% 26.16/5.01 tff(f9593,axiom,(
% 26.16/5.01 semiring_char_0(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Osemiring__char__0_303)).
% 26.16/5.01 tff(f69739,plain,(
% 26.16/5.01 spl4009_542),
% 26.16/5.01 inference(avatar_split_clause,[],[f37399,f69736])).
% 26.16/5.01 tff(f69736,plain,(
% 26.16/5.01 spl4009_542 <=> semiring_char_0(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_542])])).
% 26.16/5.01 tff(f37399,plain,(
% 26.16/5.01 semiring_char_0(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9231])).
% 26.16/5.01 tff(f9231,axiom,(
% 26.16/5.01 semiring_char_0(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Osemiring__char__0)).
% 26.16/5.01 tff(f69734,plain,(
% 26.16/5.01 spl4009_541),
% 26.16/5.01 inference(avatar_split_clause,[],[f37398,f69731])).
% 26.16/5.01 tff(f69731,plain,(
% 26.16/5.01 spl4009_541 <=> semiring_char_0(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_541])])).
% 26.16/5.01 tff(f37398,plain,(
% 26.16/5.01 semiring_char_0(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9882])).
% 26.16/5.01 tff(f9882,axiom,(
% 26.16/5.01 semiring_char_0(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Osemiring__char__0_590)).
% 26.16/5.01 tff(f69729,plain,(
% 26.16/5.01 spl4009_540),
% 26.16/5.01 inference(avatar_split_clause,[],[f37397,f69726])).
% 26.16/5.01 tff(f69726,plain,(
% 26.16/5.01 spl4009_540 <=> semiring_char_0(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_540])])).
% 26.16/5.01 tff(f37397,plain,(
% 26.16/5.01 semiring_char_0(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9418])).
% 26.16/5.01 tff(f9418,axiom,(
% 26.16/5.01 semiring_char_0(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Osemiring__char__0_151)).
% 26.16/5.01 tff(f69724,plain,(
% 26.16/5.01 spl4009_539),
% 26.16/5.01 inference(avatar_split_clause,[],[f37396,f69721])).
% 26.16/5.01 tff(f69721,plain,(
% 26.16/5.01 spl4009_539 <=> semiring_char_0(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_539])])).
% 26.16/5.01 tff(f37396,plain,(
% 26.16/5.01 semiring_char_0(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9705])).
% 26.16/5.01 tff(f9705,axiom,(
% 26.16/5.01 semiring_char_0(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Osemiring__char__0_414)).
% 26.16/5.01 tff(f69719,plain,(
% 26.16/5.01 spl4009_538),
% 26.16/5.01 inference(avatar_split_clause,[],[f37395,f69716])).
% 26.16/5.01 tff(f69716,plain,(
% 26.16/5.01 spl4009_538 <=> semiring_char_0(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_538])])).
% 26.16/5.01 tff(f37395,plain,(
% 26.16/5.01 semiring_char_0(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9769])).
% 26.16/5.01 tff(f9769,axiom,(
% 26.16/5.01 semiring_char_0(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Nat_Osemiring__char__0_477)).
% 26.16/5.01 tff(f69714,plain,(
% 26.16/5.01 spl4009_537),
% 26.16/5.01 inference(avatar_split_clause,[],[f37394,f69711])).
% 26.16/5.01 tff(f69711,plain,(
% 26.16/5.01 spl4009_537 <=> numeral(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_537])])).
% 26.16/5.01 tff(f37394,plain,(
% 26.16/5.01 numeral(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9349])).
% 26.16/5.01 tff(f9349,axiom,(
% 26.16/5.01 numeral(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Onumeral_90)).
% 26.16/5.01 tff(f69709,plain,(
% 26.16/5.01 spl4009_536),
% 26.16/5.01 inference(avatar_split_clause,[],[f37393,f69706])).
% 26.16/5.01 tff(f69706,plain,(
% 26.16/5.01 spl4009_536 <=> numeral(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_536])])).
% 26.16/5.01 tff(f37393,plain,(
% 26.16/5.01 numeral(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9620])).
% 26.16/5.01 tff(f9620,axiom,(
% 26.16/5.01 numeral(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Onumeral_329)).
% 26.16/5.01 tff(f69704,plain,(
% 26.16/5.01 spl4009_535),
% 26.16/5.01 inference(avatar_split_clause,[],[f37392,f69701])).
% 26.16/5.01 tff(f69701,plain,(
% 26.16/5.01 spl4009_535 <=> numeral(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_535])])).
% 26.16/5.01 tff(f37392,plain,(
% 26.16/5.01 numeral(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9258])).
% 26.16/5.01 tff(f9258,axiom,(
% 26.16/5.01 numeral(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Onumeral)).
% 26.16/5.01 tff(f69699,plain,(
% 26.16/5.01 spl4009_534),
% 26.16/5.01 inference(avatar_split_clause,[],[f37391,f69696])).
% 26.16/5.01 tff(f69696,plain,(
% 26.16/5.01 spl4009_534 <=> numeral(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_534])])).
% 26.16/5.01 tff(f37391,plain,(
% 26.16/5.01 numeral(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9903])).
% 26.16/5.01 tff(f9903,axiom,(
% 26.16/5.01 numeral(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Onumeral_611)).
% 26.16/5.01 tff(f69694,plain,(
% 26.16/5.01 spl4009_533),
% 26.16/5.01 inference(avatar_split_clause,[],[f37390,f69691])).
% 26.16/5.01 tff(f69691,plain,(
% 26.16/5.01 spl4009_533 <=> numeral(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_533])])).
% 26.16/5.01 tff(f37390,plain,(
% 26.16/5.01 numeral(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9444])).
% 26.16/5.01 tff(f9444,axiom,(
% 26.16/5.01 numeral(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Onumeral_174)).
% 26.16/5.01 tff(f69689,plain,(
% 26.16/5.01 spl4009_532),
% 26.16/5.01 inference(avatar_split_clause,[],[f37389,f69686])).
% 26.16/5.01 tff(f69686,plain,(
% 26.16/5.01 spl4009_532 <=> numeral(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_532])])).
% 26.16/5.01 tff(f37389,plain,(
% 26.16/5.01 numeral(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9723])).
% 26.16/5.01 tff(f9723,axiom,(
% 26.16/5.01 numeral(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Onumeral_432)).
% 26.16/5.01 tff(f69684,plain,(
% 26.16/5.01 spl4009_531),
% 26.16/5.01 inference(avatar_split_clause,[],[f37388,f69681])).
% 26.16/5.01 tff(f69681,plain,(
% 26.16/5.01 spl4009_531 <=> numeral(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_531])])).
% 26.16/5.01 tff(f37388,plain,(
% 26.16/5.01 numeral(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9783])).
% 26.16/5.01 tff(f9783,axiom,(
% 26.16/5.01 numeral(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Onumeral_491)).
% 26.16/5.01 tff(f69679,plain,(
% 26.16/5.01 spl4009_530),
% 26.16/5.01 inference(avatar_split_clause,[],[f37387,f69676])).
% 26.16/5.01 tff(f69676,plain,(
% 26.16/5.01 spl4009_530 <=> order_bot(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_530])])).
% 26.16/5.01 tff(f37387,plain,(
% 26.16/5.01 order_bot(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9332])).
% 26.16/5.01 tff(f9332,axiom,(
% 26.16/5.01 order_bot(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder__bot_73)).
% 26.16/5.01 tff(f69674,plain,(
% 26.16/5.01 spl4009_529),
% 26.16/5.01 inference(avatar_split_clause,[],[f37386,f69671])).
% 26.16/5.01 tff(f69671,plain,(
% 26.16/5.01 spl4009_529 <=> order_bot(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_529])])).
% 26.16/5.01 tff(f37386,plain,(
% 26.16/5.01 order_bot(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9496])).
% 26.16/5.01 tff(f9496,axiom,(
% 26.16/5.01 order_bot(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__bot_226)).
% 26.16/5.01 tff(f69669,plain,(
% 26.16/5.01 spl4009_528),
% 26.16/5.01 inference(avatar_split_clause,[],[f37385,f69666])).
% 26.16/5.01 tff(f69666,plain,(
% 26.16/5.01 spl4009_528 <=> order_bot(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_528])])).
% 26.16/5.01 tff(f37385,plain,(
% 26.16/5.01 order_bot(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9768])).
% 26.16/5.01 tff(f9768,axiom,(
% 26.16/5.01 order_bot(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__bot_476)).
% 26.16/5.01 tff(f69664,plain,(
% 26.16/5.01 spl4009_527),
% 26.16/5.01 inference(avatar_split_clause,[],[f37384,f69661])).
% 26.16/5.01 tff(f69661,plain,(
% 26.16/5.01 spl4009_527 <=> order_bot(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_527])])).
% 26.16/5.01 tff(f37384,plain,(
% 26.16/5.01 order_bot(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9811])).
% 26.16/5.01 tff(f9811,axiom,(
% 26.16/5.01 order_bot(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__bot_519)).
% 26.16/5.01 tff(f69659,plain,(
% 26.16/5.01 spl4009_526),
% 26.16/5.01 inference(avatar_split_clause,[],[f37383,f69656])).
% 26.16/5.01 tff(f69656,plain,(
% 26.16/5.01 spl4009_526 <=> power(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_526])])).
% 26.16/5.01 tff(f37383,plain,(
% 26.16/5.01 power(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9348])).
% 26.16/5.01 tff(f9348,axiom,(
% 26.16/5.01 power(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Power_Opower_89)).
% 26.16/5.01 tff(f69654,plain,(
% 26.16/5.01 spl4009_525),
% 26.16/5.01 inference(avatar_split_clause,[],[f37382,f69651])).
% 26.16/5.01 tff(f69651,plain,(
% 26.16/5.01 spl4009_525 <=> power(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_525])])).
% 26.16/5.01 tff(f37382,plain,(
% 26.16/5.01 power(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9619])).
% 26.16/5.01 tff(f9619,axiom,(
% 26.16/5.01 power(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Power_Opower_328)).
% 26.16/5.01 tff(f69649,plain,(
% 26.16/5.01 spl4009_524),
% 26.16/5.01 inference(avatar_split_clause,[],[f37381,f69646])).
% 26.16/5.01 tff(f69646,plain,(
% 26.16/5.01 spl4009_524 <=> power(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_524])])).
% 26.16/5.01 tff(f37381,plain,(
% 26.16/5.01 power(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9257])).
% 26.16/5.01 tff(f9257,axiom,(
% 26.16/5.01 power(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Power_Opower)).
% 26.16/5.01 tff(f69644,plain,(
% 26.16/5.01 spl4009_523),
% 26.16/5.01 inference(avatar_split_clause,[],[f37380,f69641])).
% 26.16/5.01 tff(f69641,plain,(
% 26.16/5.01 spl4009_523 <=> power(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_523])])).
% 26.16/5.01 tff(f37380,plain,(
% 26.16/5.01 power(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9902])).
% 26.16/5.01 tff(f9902,axiom,(
% 26.16/5.01 power(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Power_Opower_610)).
% 26.16/5.01 tff(f69639,plain,(
% 26.16/5.01 spl4009_522),
% 26.16/5.01 inference(avatar_split_clause,[],[f37379,f69636])).
% 26.16/5.01 tff(f69636,plain,(
% 26.16/5.01 spl4009_522 <=> power(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_522])])).
% 26.16/5.01 tff(f37379,plain,(
% 26.16/5.01 power(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9443])).
% 26.16/5.01 tff(f9443,axiom,(
% 26.16/5.01 power(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Power_Opower_173)).
% 26.16/5.01 tff(f69634,plain,(
% 26.16/5.01 spl4009_521),
% 26.16/5.01 inference(avatar_split_clause,[],[f37378,f69631])).
% 26.16/5.01 tff(f69631,plain,(
% 26.16/5.01 spl4009_521 <=> power(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_521])])).
% 26.16/5.01 tff(f37378,plain,(
% 26.16/5.01 power(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9722])).
% 26.16/5.01 tff(f9722,axiom,(
% 26.16/5.01 power(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Power_Opower_431)).
% 26.16/5.01 tff(f69629,plain,(
% 26.16/5.01 spl4009_520),
% 26.16/5.01 inference(avatar_split_clause,[],[f37377,f69626])).
% 26.16/5.01 tff(f69626,plain,(
% 26.16/5.01 spl4009_520 <=> power(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_520])])).
% 26.16/5.01 tff(f37377,plain,(
% 26.16/5.01 power(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9782])).
% 26.16/5.01 tff(f9782,axiom,(
% 26.16/5.01 power(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Power_Opower_490)).
% 26.16/5.01 tff(f69624,plain,(
% 26.16/5.01 spl4009_519),
% 26.16/5.01 inference(avatar_split_clause,[],[f37376,f69621])).
% 26.16/5.01 tff(f69621,plain,(
% 26.16/5.01 spl4009_519 <=> semiring_numeral(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_519])])).
% 26.16/5.01 tff(f37376,plain,(
% 26.16/5.01 semiring_numeral(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9327])).
% 26.16/5.01 tff(f9327,axiom,(
% 26.16/5.01 semiring_numeral(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Num_Osemiring__numeral_69)).
% 26.16/5.01 tff(f69619,plain,(
% 26.16/5.01 spl4009_518),
% 26.16/5.01 inference(avatar_split_clause,[],[f37375,f69616])).
% 26.16/5.01 tff(f69616,plain,(
% 26.16/5.01 spl4009_518 <=> semiring_numeral(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_518])])).
% 26.16/5.01 tff(f37375,plain,(
% 26.16/5.01 semiring_numeral(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9588])).
% 26.16/5.01 tff(f9588,axiom,(
% 26.16/5.01 semiring_numeral(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Osemiring__numeral_298)).
% 26.16/5.01 tff(f69614,plain,(
% 26.16/5.01 spl4009_517),
% 26.16/5.01 inference(avatar_split_clause,[],[f37374,f69611])).
% 26.16/5.01 tff(f69611,plain,(
% 26.16/5.01 spl4009_517 <=> semiring_numeral(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_517])])).
% 26.16/5.01 tff(f37374,plain,(
% 26.16/5.01 semiring_numeral(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9227])).
% 26.16/5.01 tff(f9227,axiom,(
% 26.16/5.01 semiring_numeral(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Osemiring__numeral)).
% 26.16/5.01 tff(f69609,plain,(
% 26.16/5.01 spl4009_516),
% 26.16/5.01 inference(avatar_split_clause,[],[f37373,f69606])).
% 26.16/5.01 tff(f69606,plain,(
% 26.16/5.01 spl4009_516 <=> semiring_numeral(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_516])])).
% 26.16/5.01 tff(f37373,plain,(
% 26.16/5.01 semiring_numeral(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9878])).
% 26.16/5.01 tff(f9878,axiom,(
% 26.16/5.01 semiring_numeral(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Osemiring__numeral_586)).
% 26.16/5.01 tff(f69604,plain,(
% 26.16/5.01 spl4009_515),
% 26.16/5.01 inference(avatar_split_clause,[],[f37372,f69601])).
% 26.16/5.01 tff(f69601,plain,(
% 26.16/5.01 spl4009_515 <=> semiring_numeral(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_515])])).
% 26.16/5.01 tff(f37372,plain,(
% 26.16/5.01 semiring_numeral(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9413])).
% 26.16/5.01 tff(f9413,axiom,(
% 26.16/5.01 semiring_numeral(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Osemiring__numeral_147)).
% 26.16/5.01 tff(f69599,plain,(
% 26.16/5.01 spl4009_514),
% 26.16/5.01 inference(avatar_split_clause,[],[f37371,f69596])).
% 26.16/5.01 tff(f69596,plain,(
% 26.16/5.01 spl4009_514 <=> semiring_numeral(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_514])])).
% 26.16/5.01 tff(f37371,plain,(
% 26.16/5.01 semiring_numeral(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9701])).
% 26.16/5.01 tff(f9701,axiom,(
% 26.16/5.01 semiring_numeral(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Osemiring__numeral_410)).
% 26.16/5.01 tff(f69594,plain,(
% 26.16/5.01 spl4009_513),
% 26.16/5.01 inference(avatar_split_clause,[],[f37370,f69591])).
% 26.16/5.01 tff(f69591,plain,(
% 26.16/5.01 spl4009_513 <=> semiring_numeral(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_513])])).
% 26.16/5.01 tff(f37370,plain,(
% 26.16/5.01 semiring_numeral(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9762])).
% 26.16/5.01 tff(f9762,axiom,(
% 26.16/5.01 semiring_numeral(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Num_Osemiring__numeral_470)).
% 26.16/5.01 tff(f69589,plain,(
% 26.16/5.01 spl4009_512),
% 26.16/5.01 inference(avatar_split_clause,[],[f37369,f69586])).
% 26.16/5.01 tff(f69586,plain,(
% 26.16/5.01 spl4009_512 <=> dvd(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_512])])).
% 26.16/5.01 tff(f37369,plain,(
% 26.16/5.01 dvd(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9353])).
% 26.16/5.01 tff(f9353,axiom,(
% 26.16/5.01 dvd(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Odvd_94)).
% 26.16/5.01 tff(f69584,plain,(
% 26.16/5.01 spl4009_511),
% 26.16/5.01 inference(avatar_split_clause,[],[f37368,f69581])).
% 26.16/5.01 tff(f69581,plain,(
% 26.16/5.01 spl4009_511 <=> semiring(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_511])])).
% 26.16/5.01 tff(f37368,plain,(
% 26.16/5.01 semiring(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9345])).
% 26.16/5.01 tff(f9345,axiom,(
% 26.16/5.01 semiring(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring_86)).
% 26.16/5.01 tff(f69579,plain,(
% 26.16/5.01 spl4009_510),
% 26.16/5.01 inference(avatar_split_clause,[],[f37367,f69576])).
% 26.16/5.01 tff(f69576,plain,(
% 26.16/5.01 spl4009_510 <=> comm_semiring_0(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_510])])).
% 26.16/5.01 tff(f37367,plain,(
% 26.16/5.01 comm_semiring_0(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9323])).
% 26.16/5.01 tff(f9323,axiom,(
% 26.16/5.01 comm_semiring_0(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__0_65)).
% 26.16/5.01 tff(f69574,plain,(
% 26.16/5.01 spl4009_509),
% 26.16/5.01 inference(avatar_split_clause,[],[f37366,f69571])).
% 26.16/5.01 tff(f69571,plain,(
% 26.16/5.01 spl4009_509 <=> comm_semiring_0(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_509])])).
% 26.16/5.01 tff(f37366,plain,(
% 26.16/5.01 comm_semiring_0(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9584])).
% 26.16/5.01 tff(f9584,axiom,(
% 26.16/5.01 comm_semiring_0(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__0_294)).
% 26.16/5.01 tff(f69569,plain,(
% 26.16/5.01 spl4009_508),
% 26.16/5.01 inference(avatar_split_clause,[],[f37365,f69566])).
% 26.16/5.01 tff(f69566,plain,(
% 26.16/5.01 spl4009_508 <=> semiring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_508])])).
% 26.16/5.01 tff(f37365,plain,(
% 26.16/5.01 semiring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9613])).
% 26.16/5.01 tff(f9613,axiom,(
% 26.16/5.01 semiring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring_322)).
% 26.16/5.01 tff(f69564,plain,(
% 26.16/5.01 spl4009_507),
% 26.16/5.01 inference(avatar_split_clause,[],[f37364,f69561])).
% 26.16/5.01 tff(f69561,plain,(
% 26.16/5.01 spl4009_507 <=> dvd(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_507])])).
% 26.16/5.01 tff(f37364,plain,(
% 26.16/5.01 dvd(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9626])).
% 26.16/5.01 tff(f9626,axiom,(
% 26.16/5.01 dvd(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Odvd_335)).
% 26.16/5.01 tff(f69559,plain,(
% 26.16/5.01 spl4009_506),
% 26.16/5.01 inference(avatar_split_clause,[],[f37363,f69556])).
% 26.16/5.01 tff(f69556,plain,(
% 26.16/5.01 spl4009_506 <=> dvd(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_506])])).
% 26.16/5.01 tff(f37363,plain,(
% 26.16/5.01 dvd(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9264])).
% 26.16/5.01 tff(f9264,axiom,(
% 26.16/5.01 dvd(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Odvd)).
% 26.16/5.01 tff(f69554,plain,(
% 26.16/5.01 spl4009_505),
% 26.16/5.01 inference(avatar_split_clause,[],[f37362,f69551])).
% 26.16/5.01 tff(f69551,plain,(
% 26.16/5.01 spl4009_505 <=> comm_semiring_0(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_505])])).
% 26.16/5.01 tff(f37362,plain,(
% 26.16/5.01 comm_semiring_0(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9223])).
% 26.16/5.01 tff(f9223,axiom,(
% 26.16/5.01 comm_semiring_0(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__0)).
% 26.16/5.01 tff(f69549,plain,(
% 26.16/5.01 spl4009_504),
% 26.16/5.01 inference(avatar_split_clause,[],[f37361,f69546])).
% 26.16/5.01 tff(f69546,plain,(
% 26.16/5.01 spl4009_504 <=> semiring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_504])])).
% 26.16/5.01 tff(f37361,plain,(
% 26.16/5.01 semiring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9252])).
% 26.16/5.01 tff(f9252,axiom,(
% 26.16/5.01 semiring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring)).
% 26.16/5.01 tff(f69544,plain,(
% 26.16/5.01 spl4009_503),
% 26.16/5.01 inference(avatar_split_clause,[],[f37360,f69541])).
% 26.16/5.01 tff(f69541,plain,(
% 26.16/5.01 spl4009_503 <=> dvd(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_503])])).
% 26.16/5.01 tff(f37360,plain,(
% 26.16/5.01 dvd(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9909])).
% 26.16/5.01 tff(f9909,axiom,(
% 26.16/5.01 dvd(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Odvd_617)).
% 26.16/5.01 tff(f69539,plain,(
% 26.16/5.01 spl4009_502),
% 26.16/5.01 inference(avatar_split_clause,[],[f37359,f69536])).
% 26.16/5.01 tff(f69536,plain,(
% 26.16/5.01 spl4009_502 <=> semiring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_502])])).
% 26.16/5.01 tff(f37359,plain,(
% 26.16/5.01 semiring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9898])).
% 26.16/5.01 tff(f9898,axiom,(
% 26.16/5.01 semiring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring_606)).
% 26.16/5.01 tff(f69534,plain,(
% 26.16/5.01 spl4009_501),
% 26.16/5.01 inference(avatar_split_clause,[],[f37358,f69531])).
% 26.16/5.01 tff(f69531,plain,(
% 26.16/5.01 spl4009_501 <=> comm_semiring_0(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_501])])).
% 26.16/5.01 tff(f37358,plain,(
% 26.16/5.01 comm_semiring_0(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9874])).
% 26.16/5.01 tff(f9874,axiom,(
% 26.16/5.01 comm_semiring_0(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__0_582)).
% 26.16/5.01 tff(f69529,plain,(
% 26.16/5.01 spl4009_500),
% 26.16/5.01 inference(avatar_split_clause,[],[f37357,f69526])).
% 26.16/5.01 tff(f69526,plain,(
% 26.16/5.01 spl4009_500 <=> semiring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_500])])).
% 26.16/5.01 tff(f37357,plain,(
% 26.16/5.01 semiring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9437])).
% 26.16/5.01 tff(f9437,axiom,(
% 26.16/5.01 semiring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring_169)).
% 26.16/5.01 tff(f69524,plain,(
% 26.16/5.01 spl4009_499),
% 26.16/5.01 inference(avatar_split_clause,[],[f37356,f69521])).
% 26.16/5.01 tff(f69521,plain,(
% 26.16/5.01 spl4009_499 <=> dvd(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_499])])).
% 26.16/5.01 tff(f37356,plain,(
% 26.16/5.01 dvd(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9450])).
% 26.16/5.01 tff(f9450,axiom,(
% 26.16/5.01 dvd(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Odvd_180)).
% 26.16/5.01 tff(f69519,plain,(
% 26.16/5.01 spl4009_498),
% 26.16/5.01 inference(avatar_split_clause,[],[f37355,f69516])).
% 26.16/5.01 tff(f69516,plain,(
% 26.16/5.01 spl4009_498 <=> comm_semiring_0(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_498])])).
% 26.16/5.01 tff(f37355,plain,(
% 26.16/5.01 comm_semiring_0(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9409])).
% 26.16/5.01 tff(f9409,axiom,(
% 26.16/5.01 comm_semiring_0(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__0_144)).
% 26.16/5.01 tff(f69514,plain,(
% 26.16/5.01 spl4009_497),
% 26.16/5.01 inference(avatar_split_clause,[],[f37354,f69511])).
% 26.16/5.01 tff(f69511,plain,(
% 26.16/5.01 spl4009_497 <=> dvd(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_497])])).
% 26.16/5.01 tff(f37354,plain,(
% 26.16/5.01 dvd(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9729])).
% 26.16/5.01 tff(f9729,axiom,(
% 26.16/5.01 dvd(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Odvd_438)).
% 26.16/5.01 tff(f69509,plain,(
% 26.16/5.01 spl4009_496),
% 26.16/5.01 inference(avatar_split_clause,[],[f37353,f69506])).
% 26.16/5.01 tff(f69506,plain,(
% 26.16/5.01 spl4009_496 <=> comm_semiring_0(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_496])])).
% 26.16/5.01 tff(f37353,plain,(
% 26.16/5.01 comm_semiring_0(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9698])).
% 26.16/5.01 tff(f9698,axiom,(
% 26.16/5.01 comm_semiring_0(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__0_407)).
% 26.16/5.01 tff(f69504,plain,(
% 26.16/5.01 spl4009_495),
% 26.16/5.01 inference(avatar_split_clause,[],[f37352,f69501])).
% 26.16/5.01 tff(f69501,plain,(
% 26.16/5.01 spl4009_495 <=> semiring(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_495])])).
% 26.16/5.01 tff(f37352,plain,(
% 26.16/5.01 semiring(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9717])).
% 26.16/5.01 tff(f9717,axiom,(
% 26.16/5.01 semiring(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring_426)).
% 26.16/5.01 tff(f69499,plain,(
% 26.16/5.01 spl4009_494),
% 26.16/5.01 inference(avatar_split_clause,[],[f37351,f69496])).
% 26.16/5.01 tff(f69496,plain,(
% 26.16/5.01 spl4009_494 <=> comm_semiring_0(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_494])])).
% 26.16/5.01 tff(f37351,plain,(
% 26.16/5.01 comm_semiring_0(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9760])).
% 26.16/5.01 tff(f9760,axiom,(
% 26.16/5.01 comm_semiring_0(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring__0_468)).
% 26.16/5.01 tff(f69494,plain,(
% 26.16/5.01 spl4009_493),
% 26.16/5.01 inference(avatar_split_clause,[],[f37350,f69491])).
% 26.16/5.01 tff(f69491,plain,(
% 26.16/5.01 spl4009_493 <=> semiring(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_493])])).
% 26.16/5.01 tff(f37350,plain,(
% 26.16/5.01 semiring(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9778])).
% 26.16/5.01 tff(f9778,axiom,(
% 26.16/5.01 semiring(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring_486)).
% 26.16/5.01 tff(f69489,plain,(
% 26.16/5.01 spl4009_492),
% 26.16/5.01 inference(avatar_split_clause,[],[f37349,f69486])).
% 26.16/5.01 tff(f69486,plain,(
% 26.16/5.01 spl4009_492 <=> dvd(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_492])])).
% 26.16/5.01 tff(f37349,plain,(
% 26.16/5.01 dvd(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9787])).
% 26.16/5.01 tff(f9787,axiom,(
% 26.16/5.01 dvd(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Odvd_495)).
% 26.16/5.01 tff(f69484,plain,(
% 26.16/5.01 spl4009_491),
% 26.16/5.01 inference(avatar_split_clause,[],[f37348,f69481])).
% 26.16/5.01 tff(f69481,plain,(
% 26.16/5.01 spl4009_491 <=> ab_semigroup_mult(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_491])])).
% 26.16/5.01 tff(f37348,plain,(
% 26.16/5.01 ab_semigroup_mult(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9312])).
% 26.16/5.01 tff(f9312,axiom,(
% 26.16/5.01 ab_semigroup_mult(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__mult_55)).
% 26.16/5.01 tff(f69479,plain,(
% 26.16/5.01 spl4009_490),
% 26.16/5.01 inference(avatar_split_clause,[],[f37347,f69476])).
% 26.16/5.01 tff(f69476,plain,(
% 26.16/5.01 spl4009_490 <=> ab_semigroup_mult(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_490])])).
% 26.16/5.01 tff(f37347,plain,(
% 26.16/5.01 ab_semigroup_mult(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9573])).
% 26.16/5.01 tff(f9573,axiom,(
% 26.16/5.01 ab_semigroup_mult(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__mult_283)).
% 26.16/5.01 tff(f69474,plain,(
% 26.16/5.01 spl4009_489),
% 26.16/5.01 inference(avatar_split_clause,[],[f37346,f69471])).
% 26.16/5.01 tff(f69471,plain,(
% 26.16/5.01 spl4009_489 <=> ab_semigroup_mult(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_489])])).
% 26.16/5.01 tff(f37346,plain,(
% 26.16/5.01 ab_semigroup_mult(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9210])).
% 26.16/5.01 tff(f9210,axiom,(
% 26.16/5.01 ab_semigroup_mult(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__mult)).
% 26.16/5.01 tff(f69469,plain,(
% 26.16/5.01 spl4009_488),
% 26.16/5.01 inference(avatar_split_clause,[],[f37345,f69466])).
% 26.16/5.01 tff(f69466,plain,(
% 26.16/5.01 spl4009_488 <=> ab_semigroup_mult(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_488])])).
% 26.16/5.01 tff(f37345,plain,(
% 26.16/5.01 ab_semigroup_mult(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9861])).
% 26.16/5.01 tff(f9861,axiom,(
% 26.16/5.01 ab_semigroup_mult(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__mult_569)).
% 26.16/5.01 tff(f69464,plain,(
% 26.16/5.01 spl4009_487),
% 26.16/5.01 inference(avatar_split_clause,[],[f37344,f69461])).
% 26.16/5.01 tff(f69461,plain,(
% 26.16/5.01 spl4009_487 <=> ab_semigroup_mult(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_487])])).
% 26.16/5.01 tff(f37344,plain,(
% 26.16/5.01 ab_semigroup_mult(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9398])).
% 26.16/5.01 tff(f9398,axiom,(
% 26.16/5.01 ab_semigroup_mult(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__mult_134)).
% 26.16/5.01 tff(f69459,plain,(
% 26.16/5.01 spl4009_486),
% 26.16/5.01 inference(avatar_split_clause,[],[f37343,f69456])).
% 26.16/5.01 tff(f69456,plain,(
% 26.16/5.01 spl4009_486 <=> ab_semigroup_mult(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_486])])).
% 26.16/5.01 tff(f37343,plain,(
% 26.16/5.01 ab_semigroup_mult(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9692])).
% 26.16/5.01 tff(f9692,axiom,(
% 26.16/5.01 ab_semigroup_mult(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__mult_401)).
% 26.16/5.01 tff(f69454,plain,(
% 26.16/5.01 spl4009_485),
% 26.16/5.01 inference(avatar_split_clause,[],[f37342,f69451])).
% 26.16/5.01 tff(f69451,plain,(
% 26.16/5.01 spl4009_485 <=> ab_semigroup_mult(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_485])])).
% 26.16/5.01 tff(f37342,plain,(
% 26.16/5.01 ab_semigroup_mult(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9754])).
% 26.16/5.01 tff(f9754,axiom,(
% 26.16/5.01 ab_semigroup_mult(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__mult_462)).
% 26.16/5.01 tff(f69449,plain,(
% 26.16/5.01 spl4009_484),
% 26.16/5.01 inference(avatar_split_clause,[],[f37341,f69446])).
% 26.16/5.01 tff(f69446,plain,(
% 26.16/5.01 spl4009_484 <=> ab_semigroup_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_484])])).
% 26.16/5.01 tff(f37341,plain,(
% 26.16/5.01 ab_semigroup_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9317])).
% 26.16/5.01 tff(f9317,axiom,(
% 26.16/5.01 ab_semigroup_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__add_59)).
% 26.16/5.01 tff(f69444,plain,(
% 26.16/5.01 spl4009_483),
% 26.16/5.01 inference(avatar_split_clause,[],[f37340,f69441])).
% 26.16/5.01 tff(f69441,plain,(
% 26.16/5.01 spl4009_483 <=> bot(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_483])])).
% 26.16/5.01 tff(f37340,plain,(
% 26.16/5.01 bot(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9347])).
% 26.16/5.01 tff(f9347,axiom,(
% 26.16/5.01 bot(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Obot_88)).
% 26.16/5.01 tff(f69439,plain,(
% 26.16/5.01 spl4009_482),
% 26.16/5.01 inference(avatar_split_clause,[],[f37339,f69436])).
% 26.16/5.01 tff(f69436,plain,(
% 26.16/5.01 spl4009_482 <=> bot(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_482])])).
% 26.16/5.01 tff(f37339,plain,(
% 26.16/5.01 bot(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9504])).
% 26.16/5.01 tff(f9504,axiom,(
% 26.16/5.01 bot(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Obot_234)).
% 26.16/5.01 tff(f69434,plain,(
% 26.16/5.01 spl4009_481),
% 26.16/5.01 inference(avatar_split_clause,[],[f37338,f69431])).
% 26.16/5.01 tff(f69431,plain,(
% 26.16/5.01 spl4009_481 <=> ab_semigroup_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_481])])).
% 26.16/5.01 tff(f37338,plain,(
% 26.16/5.01 ab_semigroup_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9576])).
% 26.16/5.01 tff(f9576,axiom,(
% 26.16/5.01 ab_semigroup_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__semigroup__add_286)).
% 26.16/5.01 tff(f69429,plain,(
% 26.16/5.01 spl4009_480),
% 26.16/5.01 inference(avatar_split_clause,[],[f37337,f69426])).
% 26.16/5.01 tff(f69426,plain,(
% 26.16/5.01 spl4009_480 <=> ab_semigroup_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_480])])).
% 26.16/5.01 tff(f37337,plain,(
% 26.16/5.01 ab_semigroup_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9214])).
% 26.16/5.01 tff(f9214,axiom,(
% 26.16/5.01 ab_semigroup_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__semigroup__add)).
% 26.16/5.01 tff(f69424,plain,(
% 26.16/5.01 spl4009_479),
% 26.16/5.01 inference(avatar_split_clause,[],[f37336,f69421])).
% 26.16/5.01 tff(f69421,plain,(
% 26.16/5.01 spl4009_479 <=> ab_semigroup_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_479])])).
% 26.16/5.01 tff(f37336,plain,(
% 26.16/5.01 ab_semigroup_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9865])).
% 26.16/5.01 tff(f9865,axiom,(
% 26.16/5.01 ab_semigroup_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__semigroup__add_573)).
% 26.16/5.01 tff(f69419,plain,(
% 26.16/5.01 spl4009_478),
% 26.16/5.01 inference(avatar_split_clause,[],[f37335,f69416])).
% 26.16/5.01 tff(f69416,plain,(
% 26.16/5.01 spl4009_478 <=> ab_semigroup_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_478])])).
% 26.16/5.01 tff(f37335,plain,(
% 26.16/5.01 ab_semigroup_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9401])).
% 26.16/5.01 tff(f9401,axiom,(
% 26.16/5.01 ab_semigroup_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__semigroup__add_137)).
% 26.16/5.01 tff(f69414,plain,(
% 26.16/5.01 spl4009_477),
% 26.16/5.01 inference(avatar_split_clause,[],[f37334,f69411])).
% 26.16/5.01 tff(f69411,plain,(
% 26.16/5.01 spl4009_477 <=> ab_semigroup_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_477])])).
% 26.16/5.01 tff(f37334,plain,(
% 26.16/5.01 ab_semigroup_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9695])).
% 26.16/5.01 tff(f9695,axiom,(
% 26.16/5.01 ab_semigroup_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__semigroup__add_404)).
% 26.16/5.01 tff(f69409,plain,(
% 26.16/5.01 spl4009_476),
% 26.16/5.01 inference(avatar_split_clause,[],[f37333,f69406])).
% 26.16/5.01 tff(f69406,plain,(
% 26.16/5.01 spl4009_476 <=> bot(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_476])])).
% 26.16/5.01 tff(f37333,plain,(
% 26.16/5.01 bot(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9781])).
% 26.16/5.01 tff(f9781,axiom,(
% 26.16/5.01 bot(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Obot_489)).
% 26.16/5.01 tff(f69404,plain,(
% 26.16/5.01 spl4009_475),
% 26.16/5.01 inference(avatar_split_clause,[],[f37332,f69401])).
% 26.16/5.01 tff(f69401,plain,(
% 26.16/5.01 spl4009_475 <=> ab_semigroup_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_475])])).
% 26.16/5.01 tff(f37332,plain,(
% 26.16/5.01 ab_semigroup_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9756])).
% 26.16/5.01 tff(f9756,axiom,(
% 26.16/5.01 ab_semigroup_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oab__semigroup__add_464)).
% 26.16/5.01 tff(f69399,plain,(
% 26.16/5.01 spl4009_474),
% 26.16/5.01 inference(avatar_split_clause,[],[f37331,f69396])).
% 26.16/5.01 tff(f69396,plain,(
% 26.16/5.01 spl4009_474 <=> bot(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_474])])).
% 26.16/5.01 tff(f37331,plain,(
% 26.16/5.01 bot(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9819])).
% 26.16/5.01 tff(f9819,axiom,(
% 26.16/5.01 bot(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Obot_527)).
% 26.16/5.01 tff(f69394,plain,(
% 26.16/5.01 spl4009_473),
% 26.16/5.01 inference(avatar_split_clause,[],[f37330,f69391])).
% 26.16/5.01 tff(f69391,plain,(
% 26.16/5.01 spl4009_473 <=> semiri3467727345109120633visors(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_473])])).
% 26.16/5.01 tff(f37330,plain,(
% 26.16/5.01 semiri3467727345109120633visors(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9292])).
% 26.16/5.01 tff(f9292,axiom,(
% 26.16/5.01 semiri3467727345109120633visors(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__no__zero__divisors_35)).
% 26.16/5.01 tff(f69389,plain,(
% 26.16/5.01 spl4009_472),
% 26.16/5.01 inference(avatar_split_clause,[],[f37329,f69386])).
% 26.16/5.01 tff(f69386,plain,(
% 26.16/5.01 spl4009_472 <=> semiri3467727345109120633visors(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_472])])).
% 26.16/5.01 tff(f37329,plain,(
% 26.16/5.01 semiri3467727345109120633visors(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9542])).
% 26.16/5.01 tff(f9542,axiom,(
% 26.16/5.01 semiri3467727345109120633visors(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__no__zero__divisors_258)).
% 26.16/5.01 tff(f69384,plain,(
% 26.16/5.01 spl4009_471),
% 26.16/5.01 inference(avatar_split_clause,[],[f37328,f69381])).
% 26.16/5.01 tff(f69381,plain,(
% 26.16/5.01 spl4009_471 <=> semiri3467727345109120633visors(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_471])])).
% 26.16/5.01 tff(f37328,plain,(
% 26.16/5.01 semiri3467727345109120633visors(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9184])).
% 26.16/5.01 tff(f9184,axiom,(
% 26.16/5.01 semiri3467727345109120633visors(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__no__zero__divisors)).
% 26.16/5.01 tff(f69379,plain,(
% 26.16/5.01 spl4009_470),
% 26.16/5.01 inference(avatar_split_clause,[],[f37327,f69376])).
% 26.16/5.01 tff(f69376,plain,(
% 26.16/5.01 spl4009_470 <=> semiri3467727345109120633visors(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_470])])).
% 26.16/5.01 tff(f37327,plain,(
% 26.16/5.01 semiri3467727345109120633visors(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9843])).
% 26.16/5.01 tff(f9843,axiom,(
% 26.16/5.01 semiri3467727345109120633visors(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__no__zero__divisors_551)).
% 26.16/5.01 tff(f69374,plain,(
% 26.16/5.01 spl4009_469),
% 26.16/5.01 inference(avatar_split_clause,[],[f37326,f69371])).
% 26.16/5.01 tff(f69371,plain,(
% 26.16/5.01 spl4009_469 <=> semiri3467727345109120633visors(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_469])])).
% 26.16/5.01 tff(f37326,plain,(
% 26.16/5.01 semiri3467727345109120633visors(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9376])).
% 26.16/5.01 tff(f9376,axiom,(
% 26.16/5.01 semiri3467727345109120633visors(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__no__zero__divisors_114)).
% 26.16/5.01 tff(f69369,plain,(
% 26.16/5.01 spl4009_468),
% 26.16/5.01 inference(avatar_split_clause,[],[f37325,f69366])).
% 26.16/5.01 tff(f69366,plain,(
% 26.16/5.01 spl4009_468 <=> semiri3467727345109120633visors(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_468])])).
% 26.16/5.01 tff(f37325,plain,(
% 26.16/5.01 semiri3467727345109120633visors(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9677])).
% 26.16/5.01 tff(f9677,axiom,(
% 26.16/5.01 semiri3467727345109120633visors(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__no__zero__divisors_386)).
% 26.16/5.01 tff(f69364,plain,(
% 26.16/5.01 spl4009_467),
% 26.16/5.01 inference(avatar_split_clause,[],[f37324,f69361])).
% 26.16/5.01 tff(f69361,plain,(
% 26.16/5.01 spl4009_467 <=> semiri3467727345109120633visors(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_467])])).
% 26.16/5.01 tff(f37324,plain,(
% 26.16/5.01 semiri3467727345109120633visors(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9744])).
% 26.16/5.01 tff(f9744,axiom,(
% 26.16/5.01 semiri3467727345109120633visors(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__no__zero__divisors_452)).
% 26.16/5.01 tff(f69359,plain,(
% 26.16/5.01 spl4009_466),
% 26.16/5.01 inference(avatar_split_clause,[],[f37323,f69356])).
% 26.16/5.01 tff(f69356,plain,(
% 26.16/5.01 spl4009_466 <=> semiring_0(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_466])])).
% 26.16/5.01 tff(f37323,plain,(
% 26.16/5.01 semiring_0(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9339])).
% 26.16/5.01 tff(f9339,axiom,(
% 26.16/5.01 semiring_0(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__0_80)).
% 26.16/5.01 tff(f69354,plain,(
% 26.16/5.01 spl4009_465),
% 26.16/5.01 inference(avatar_split_clause,[],[f37322,f69351])).
% 26.16/5.01 tff(f69351,plain,(
% 26.16/5.01 spl4009_465 <=> semigroup_mult(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_465])])).
% 26.16/5.01 tff(f37322,plain,(
% 26.16/5.01 semigroup_mult(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9324])).
% 26.16/5.01 tff(f9324,axiom,(
% 26.16/5.01 semigroup_mult(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Osemigroup__mult_66)).
% 26.16/5.01 tff(f69349,plain,(
% 26.16/5.01 spl4009_464),
% 26.16/5.01 inference(avatar_split_clause,[],[f37321,f69346])).
% 26.16/5.01 tff(f69346,plain,(
% 26.16/5.01 spl4009_464 <=> one(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_464])])).
% 26.16/5.01 tff(f37321,plain,(
% 26.16/5.01 one(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9352])).
% 26.16/5.01 tff(f9352,axiom,(
% 26.16/5.01 one(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oone_93)).
% 26.16/5.01 tff(f69344,plain,(
% 26.16/5.01 spl4009_463),
% 26.16/5.01 inference(avatar_split_clause,[],[f37320,f69341])).
% 26.16/5.01 tff(f69341,plain,(
% 26.16/5.01 spl4009_463 <=> comm_semiring(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_463])])).
% 26.16/5.01 tff(f37320,plain,(
% 26.16/5.01 comm_semiring(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9330])).
% 26.16/5.01 tff(f9330,axiom,(
% 26.16/5.01 comm_semiring(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring_72)).
% 26.16/5.01 tff(f69339,plain,(
% 26.16/5.01 spl4009_462),
% 26.16/5.01 inference(avatar_split_clause,[],[f37319,f69336])).
% 26.16/5.01 tff(f69336,plain,(
% 26.16/5.01 spl4009_462 <=> one(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_462])])).
% 26.16/5.01 tff(f37319,plain,(
% 26.16/5.01 one(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9625])).
% 26.16/5.01 tff(f9625,axiom,(
% 26.16/5.01 one(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oone_334)).
% 26.16/5.01 tff(f69334,plain,(
% 26.16/5.01 spl4009_461),
% 26.16/5.01 inference(avatar_split_clause,[],[f37318,f69331])).
% 26.16/5.01 tff(f69331,plain,(
% 26.16/5.01 spl4009_461 <=> comm_semiring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_461])])).
% 26.16/5.01 tff(f37318,plain,(
% 26.16/5.01 comm_semiring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9592])).
% 26.16/5.01 tff(f9592,axiom,(
% 26.16/5.01 comm_semiring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring_302)).
% 26.16/5.01 tff(f69329,plain,(
% 26.16/5.01 spl4009_460),
% 26.16/5.01 inference(avatar_split_clause,[],[f37317,f69326])).
% 26.16/5.01 tff(f69326,plain,(
% 26.16/5.01 spl4009_460 <=> semiring_0(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_460])])).
% 26.16/5.01 tff(f37317,plain,(
% 26.16/5.01 semiring_0(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9604])).
% 26.16/5.01 tff(f9604,axiom,(
% 26.16/5.01 semiring_0(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__0_313)).
% 26.16/5.01 tff(f69324,plain,(
% 26.16/5.01 spl4009_459),
% 26.16/5.01 inference(avatar_split_clause,[],[f37316,f69321])).
% 26.16/5.01 tff(f69321,plain,(
% 26.16/5.01 spl4009_459 <=> semigroup_mult(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_459])])).
% 26.16/5.01 tff(f37316,plain,(
% 26.16/5.01 semigroup_mult(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9586])).
% 26.16/5.01 tff(f9586,axiom,(
% 26.16/5.01 semigroup_mult(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Osemigroup__mult_296)).
% 26.16/5.01 tff(f69319,plain,(
% 26.16/5.01 spl4009_458),
% 26.16/5.01 inference(avatar_split_clause,[],[f37315,f69316])).
% 26.16/5.01 tff(f69316,plain,(
% 26.16/5.01 spl4009_458 <=> one(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_458])])).
% 26.16/5.01 tff(f37315,plain,(
% 26.16/5.01 one(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9263])).
% 26.16/5.01 tff(f9263,axiom,(
% 26.16/5.01 one(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oone)).
% 26.16/5.01 tff(f69314,plain,(
% 26.16/5.01 spl4009_457),
% 26.16/5.01 inference(avatar_split_clause,[],[f37314,f69311])).
% 26.16/5.01 tff(f69311,plain,(
% 26.16/5.01 spl4009_457 <=> semigroup_mult(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_457])])).
% 26.16/5.01 tff(f37314,plain,(
% 26.16/5.01 semigroup_mult(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9224])).
% 26.16/5.01 tff(f9224,axiom,(
% 26.16/5.01 semigroup_mult(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Osemigroup__mult)).
% 26.16/5.01 tff(f69309,plain,(
% 26.16/5.01 spl4009_456),
% 26.16/5.01 inference(avatar_split_clause,[],[f37313,f69306])).
% 26.16/5.01 tff(f69306,plain,(
% 26.16/5.01 spl4009_456 <=> comm_semiring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_456])])).
% 26.16/5.01 tff(f37313,plain,(
% 26.16/5.01 comm_semiring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9230])).
% 26.16/5.01 tff(f9230,axiom,(
% 26.16/5.01 comm_semiring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring)).
% 26.16/5.01 tff(f69304,plain,(
% 26.16/5.01 spl4009_455),
% 26.16/5.01 inference(avatar_split_clause,[],[f37312,f69301])).
% 26.16/5.01 tff(f69301,plain,(
% 26.16/5.01 spl4009_455 <=> semiring_0(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_455])])).
% 26.16/5.01 tff(f37312,plain,(
% 26.16/5.01 semiring_0(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9241])).
% 26.16/5.01 tff(f9241,axiom,(
% 26.16/5.01 semiring_0(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__0)).
% 26.16/5.01 tff(f69299,plain,(
% 26.16/5.01 spl4009_454),
% 26.16/5.01 inference(avatar_split_clause,[],[f37311,f69296])).
% 26.16/5.01 tff(f69296,plain,(
% 26.16/5.01 spl4009_454 <=> comm_semiring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_454])])).
% 26.16/5.01 tff(f37311,plain,(
% 26.16/5.01 comm_semiring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9881])).
% 26.16/5.01 tff(f9881,axiom,(
% 26.16/5.01 comm_semiring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring_589)).
% 26.16/5.01 tff(f69294,plain,(
% 26.16/5.01 spl4009_453),
% 26.16/5.01 inference(avatar_split_clause,[],[f37310,f69291])).
% 26.16/5.01 tff(f69291,plain,(
% 26.16/5.01 spl4009_453 <=> semiring_0(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_453])])).
% 26.16/5.01 tff(f37310,plain,(
% 26.16/5.01 semiring_0(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9892])).
% 26.16/5.01 tff(f9892,axiom,(
% 26.16/5.01 semiring_0(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__0_600)).
% 26.16/5.01 tff(f69289,plain,(
% 26.16/5.01 spl4009_452),
% 26.16/5.01 inference(avatar_split_clause,[],[f37309,f69286])).
% 26.16/5.01 tff(f69286,plain,(
% 26.16/5.01 spl4009_452 <=> one(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_452])])).
% 26.16/5.01 tff(f37309,plain,(
% 26.16/5.01 one(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9908])).
% 26.16/5.01 tff(f9908,axiom,(
% 26.16/5.01 one(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oone_616)).
% 26.16/5.01 tff(f69284,plain,(
% 26.16/5.01 spl4009_451),
% 26.16/5.01 inference(avatar_split_clause,[],[f37308,f69281])).
% 26.16/5.01 tff(f69281,plain,(
% 26.16/5.01 spl4009_451 <=> semigroup_mult(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_451])])).
% 26.16/5.01 tff(f37308,plain,(
% 26.16/5.01 semigroup_mult(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9875])).
% 26.16/5.01 tff(f9875,axiom,(
% 26.16/5.01 semigroup_mult(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Osemigroup__mult_583)).
% 26.16/5.01 tff(f69279,plain,(
% 26.16/5.01 spl4009_450),
% 26.16/5.01 inference(avatar_split_clause,[],[f37307,f69276])).
% 26.16/5.01 tff(f69276,plain,(
% 26.16/5.01 spl4009_450 <=> semigroup_mult(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_450])])).
% 26.16/5.01 tff(f37307,plain,(
% 26.16/5.01 semigroup_mult(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9411])).
% 26.16/5.01 tff(f9411,axiom,(
% 26.16/5.01 semigroup_mult(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Osemigroup__mult_145)).
% 26.16/5.01 tff(f69274,plain,(
% 26.16/5.01 spl4009_449),
% 26.16/5.01 inference(avatar_split_clause,[],[f37306,f69271])).
% 26.16/5.01 tff(f69271,plain,(
% 26.16/5.01 spl4009_449 <=> comm_semiring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_449])])).
% 26.16/5.01 tff(f37306,plain,(
% 26.16/5.01 comm_semiring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9417])).
% 26.16/5.01 tff(f9417,axiom,(
% 26.16/5.01 comm_semiring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring_150)).
% 26.16/5.01 tff(f69269,plain,(
% 26.16/5.01 spl4009_448),
% 26.16/5.01 inference(avatar_split_clause,[],[f37305,f69266])).
% 26.16/5.01 tff(f69266,plain,(
% 26.16/5.01 spl4009_448 <=> one(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_448])])).
% 26.16/5.01 tff(f37305,plain,(
% 26.16/5.01 one(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9449])).
% 26.16/5.01 tff(f9449,axiom,(
% 26.16/5.01 one(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oone_179)).
% 26.16/5.01 tff(f69264,plain,(
% 26.16/5.01 spl4009_447),
% 26.16/5.01 inference(avatar_split_clause,[],[f37304,f69261])).
% 26.16/5.01 tff(f69261,plain,(
% 26.16/5.01 spl4009_447 <=> semiring_0(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_447])])).
% 26.16/5.01 tff(f37304,plain,(
% 26.16/5.01 semiring_0(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9428])).
% 26.16/5.01 tff(f9428,axiom,(
% 26.16/5.01 semiring_0(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__0_160)).
% 26.16/5.01 tff(f69259,plain,(
% 26.16/5.01 spl4009_446),
% 26.16/5.01 inference(avatar_split_clause,[],[f37303,f69256])).
% 26.16/5.01 tff(f69256,plain,(
% 26.16/5.01 spl4009_446 <=> one(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_446])])).
% 26.16/5.01 tff(f37303,plain,(
% 26.16/5.01 one(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9728])).
% 26.16/5.01 tff(f9728,axiom,(
% 26.16/5.01 one(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oone_437)).
% 26.16/5.01 tff(f69254,plain,(
% 26.16/5.01 spl4009_445),
% 26.16/5.01 inference(avatar_split_clause,[],[f37302,f69251])).
% 26.16/5.01 tff(f69251,plain,(
% 26.16/5.01 spl4009_445 <=> semiring_0(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_445])])).
% 26.16/5.01 tff(f37302,plain,(
% 26.16/5.01 semiring_0(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9712])).
% 26.16/5.01 tff(f9712,axiom,(
% 26.16/5.01 semiring_0(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__0_421)).
% 26.16/5.01 tff(f69249,plain,(
% 26.16/5.01 spl4009_444),
% 26.16/5.01 inference(avatar_split_clause,[],[f37301,f69246])).
% 26.16/5.01 tff(f69246,plain,(
% 26.16/5.01 spl4009_444 <=> comm_semiring(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_444])])).
% 26.16/5.01 tff(f37301,plain,(
% 26.16/5.01 comm_semiring(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9704])).
% 26.16/5.01 tff(f9704,axiom,(
% 26.16/5.01 comm_semiring(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring_413)).
% 26.16/5.01 tff(f69244,plain,(
% 26.16/5.01 spl4009_443),
% 26.16/5.01 inference(avatar_split_clause,[],[f37300,f69241])).
% 26.16/5.01 tff(f69241,plain,(
% 26.16/5.01 spl4009_443 <=> semigroup_mult(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_443])])).
% 26.16/5.01 tff(f37300,plain,(
% 26.16/5.01 semigroup_mult(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9699])).
% 26.16/5.01 tff(f9699,axiom,(
% 26.16/5.01 semigroup_mult(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Osemigroup__mult_408)).
% 26.16/5.01 tff(f69239,plain,(
% 26.16/5.01 spl4009_442),
% 26.16/5.01 inference(avatar_split_clause,[],[f37299,f69236])).
% 26.16/5.01 tff(f69236,plain,(
% 26.16/5.01 spl4009_442 <=> semiring_0(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_442])])).
% 26.16/5.01 tff(f37299,plain,(
% 26.16/5.01 semiring_0(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9775])).
% 26.16/5.01 tff(f9775,axiom,(
% 26.16/5.01 semiring_0(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Osemiring__0_483)).
% 26.16/5.01 tff(f69234,plain,(
% 26.16/5.01 spl4009_441),
% 26.16/5.01 inference(avatar_split_clause,[],[f37298,f69231])).
% 26.16/5.01 tff(f69231,plain,(
% 26.16/5.01 spl4009_441 <=> semigroup_mult(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_441])])).
% 26.16/5.01 tff(f37298,plain,(
% 26.16/5.01 semigroup_mult(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9761])).
% 26.16/5.01 tff(f9761,axiom,(
% 26.16/5.01 semigroup_mult(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Osemigroup__mult_469)).
% 26.16/5.01 tff(f69229,plain,(
% 26.16/5.01 spl4009_440),
% 26.16/5.01 inference(avatar_split_clause,[],[f37297,f69226])).
% 26.16/5.01 tff(f69226,plain,(
% 26.16/5.01 spl4009_440 <=> comm_semiring(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_440])])).
% 26.16/5.01 tff(f37297,plain,(
% 26.16/5.01 comm_semiring(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9765])).
% 26.16/5.01 tff(f9765,axiom,(
% 26.16/5.01 comm_semiring(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ocomm__semiring_473)).
% 26.16/5.01 tff(f69224,plain,(
% 26.16/5.01 spl4009_439),
% 26.16/5.01 inference(avatar_split_clause,[],[f37296,f69221])).
% 26.16/5.01 tff(f69221,plain,(
% 26.16/5.01 spl4009_439 <=> one(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_439])])).
% 26.16/5.01 tff(f37296,plain,(
% 26.16/5.01 one(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9786])).
% 26.16/5.01 tff(f9786,axiom,(
% 26.16/5.01 one(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oone_494)).
% 26.16/5.01 tff(f69219,plain,(
% 26.16/5.01 spl4009_438),
% 26.16/5.01 inference(avatar_split_clause,[],[f37295,f69216])).
% 26.16/5.01 tff(f69216,plain,(
% 26.16/5.01 spl4009_438 <=> comple6319245703460814977attice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_438])])).
% 26.16/5.01 tff(f37295,plain,(
% 26.16/5.01 comple6319245703460814977attice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9484])).
% 26.16/5.01 tff(f9484,axiom,(
% 26.16/5.01 comple6319245703460814977attice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__lattice_214)).
% 26.16/5.01 tff(f69214,plain,(
% 26.16/5.01 spl4009_437),
% 26.16/5.01 inference(avatar_split_clause,[],[f37294,f69211])).
% 26.16/5.01 tff(f69211,plain,(
% 26.16/5.01 spl4009_437 <=> comple6319245703460814977attice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_437])])).
% 26.16/5.01 tff(f37294,plain,(
% 26.16/5.01 comple6319245703460814977attice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9742])).
% 26.16/5.01 tff(f9742,axiom,(
% 26.16/5.01 comple6319245703460814977attice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__lattice_450)).
% 26.16/5.01 tff(f69209,plain,(
% 26.16/5.01 spl4009_436),
% 26.16/5.01 inference(avatar_split_clause,[],[f37293,f69206])).
% 26.16/5.01 tff(f69206,plain,(
% 26.16/5.01 spl4009_436 <=> comple6319245703460814977attice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_436])])).
% 26.16/5.01 tff(f37293,plain,(
% 26.16/5.01 comple6319245703460814977attice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9801])).
% 26.16/5.01 tff(f9801,axiom,(
% 26.16/5.01 comple6319245703460814977attice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__lattice_509)).
% 26.16/5.01 tff(f69204,plain,(
% 26.16/5.01 spl4009_435),
% 26.16/5.01 inference(avatar_split_clause,[],[f37292,f69201])).
% 26.16/5.01 tff(f69201,plain,(
% 26.16/5.01 spl4009_435 <=> topolo4958980785337419405_space(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_435])])).
% 26.16/5.01 tff(f37292,plain,(
% 26.16/5.01 topolo4958980785337419405_space(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9283])).
% 26.16/5.01 tff(f9283,axiom,(
% 26.16/5.01 topolo4958980785337419405_space(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Otopological__space_26)).
% 26.16/5.01 tff(f69199,plain,(
% 26.16/5.01 spl4009_434),
% 26.16/5.01 inference(avatar_split_clause,[],[f37291,f69196])).
% 26.16/5.01 tff(f69196,plain,(
% 26.16/5.01 spl4009_434 <=> topolo4958980785337419405_space(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_434])])).
% 26.16/5.01 tff(f37291,plain,(
% 26.16/5.01 topolo4958980785337419405_space(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9479])).
% 26.16/5.01 tff(f9479,axiom,(
% 26.16/5.01 topolo4958980785337419405_space(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Otopological__space_209)).
% 26.16/5.01 tff(f69194,plain,(
% 26.16/5.01 spl4009_433),
% 26.16/5.01 inference(avatar_split_clause,[],[f37290,f69191])).
% 26.16/5.01 tff(f69191,plain,(
% 26.16/5.01 spl4009_433 <=> topolo4958980785337419405_space(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_433])])).
% 26.16/5.01 tff(f37290,plain,(
% 26.16/5.01 topolo4958980785337419405_space(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9524])).
% 26.16/5.01 tff(f9524,axiom,(
% 26.16/5.01 topolo4958980785337419405_space(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Otopological__space_247)).
% 26.16/5.01 tff(f69189,plain,(
% 26.16/5.01 spl4009_432),
% 26.16/5.01 inference(avatar_split_clause,[],[f37289,f69186])).
% 26.16/5.01 tff(f69186,plain,(
% 26.16/5.01 spl4009_432 <=> topolo4958980785337419405_space(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_432])])).
% 26.16/5.01 tff(f37289,plain,(
% 26.16/5.01 topolo4958980785337419405_space(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9173])).
% 26.16/5.01 tff(f9173,axiom,(
% 26.16/5.01 topolo4958980785337419405_space(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Otopological__space)).
% 26.16/5.01 tff(f69184,plain,(
% 26.16/5.01 spl4009_431),
% 26.16/5.01 inference(avatar_split_clause,[],[f37288,f69181])).
% 26.16/5.01 tff(f69181,plain,(
% 26.16/5.01 spl4009_431 <=> topolo4958980785337419405_space(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_431])])).
% 26.16/5.01 tff(f37288,plain,(
% 26.16/5.01 topolo4958980785337419405_space(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9667])).
% 26.16/5.01 tff(f9667,axiom,(
% 26.16/5.01 topolo4958980785337419405_space(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Otopological__space_376)).
% 26.16/5.01 tff(f69179,plain,(
% 26.16/5.01 spl4009_430),
% 26.16/5.01 inference(avatar_split_clause,[],[f37287,f69176])).
% 26.16/5.01 tff(f69176,plain,(
% 26.16/5.01 spl4009_430 <=> counta3822494911875563373attice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_430])])).
% 26.16/5.01 tff(f37287,plain,(
% 26.16/5.01 counta3822494911875563373attice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9477])).
% 26.16/5.01 tff(f9477,axiom,(
% 26.16/5.01 counta3822494911875563373attice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Countable__Complete__Lattices_Ocountable__complete__lattice_207)).
% 26.16/5.01 tff(f69174,plain,(
% 26.16/5.01 spl4009_429),
% 26.16/5.01 inference(avatar_split_clause,[],[f37286,f69171])).
% 26.16/5.01 tff(f69171,plain,(
% 26.16/5.01 spl4009_429 <=> counta3822494911875563373attice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_429])])).
% 26.16/5.01 tff(f37286,plain,(
% 26.16/5.01 counta3822494911875563373attice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9733])).
% 26.16/5.01 tff(f9733,axiom,(
% 26.16/5.01 counta3822494911875563373attice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Countable__Complete__Lattices_Ocountable__complete__lattice_442)).
% 26.16/5.01 tff(f69169,plain,(
% 26.16/5.01 spl4009_428),
% 26.16/5.01 inference(avatar_split_clause,[],[f37285,f69166])).
% 26.16/5.01 tff(f69166,plain,(
% 26.16/5.01 spl4009_428 <=> counta3822494911875563373attice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_428])])).
% 26.16/5.01 tff(f37285,plain,(
% 26.16/5.01 counta3822494911875563373attice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9796])).
% 26.16/5.01 tff(f9796,axiom,(
% 26.16/5.01 counta3822494911875563373attice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Countable__Complete__Lattices_Ocountable__complete__lattice_504)).
% 26.16/5.01 tff(f69164,plain,(
% 26.16/5.01 spl4009_427),
% 26.16/5.01 inference(avatar_split_clause,[],[f37284,f69161])).
% 26.16/5.01 tff(f69161,plain,(
% 26.16/5.01 spl4009_427 <=> ordere6911136660526730532id_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_427])])).
% 26.16/5.01 tff(f37284,plain,(
% 26.16/5.01 ordere6911136660526730532id_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9296])).
% 26.16/5.01 tff(f9296,axiom,(
% 26.16/5.01 ordere6911136660526730532id_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__comm__monoid__add_39)).
% 26.16/5.01 tff(f69159,plain,(
% 26.16/5.01 spl4009_426),
% 26.16/5.01 inference(avatar_split_clause,[],[f37283,f69156])).
% 26.16/5.01 tff(f69156,plain,(
% 26.16/5.01 spl4009_426 <=> ordere6911136660526730532id_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_426])])).
% 26.16/5.01 tff(f37283,plain,(
% 26.16/5.01 ordere6911136660526730532id_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9549])).
% 26.16/5.01 tff(f9549,axiom,(
% 26.16/5.01 ordere6911136660526730532id_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__comm__monoid__add_262)).
% 26.16/5.01 tff(f69154,plain,(
% 26.16/5.01 spl4009_425),
% 26.16/5.01 inference(avatar_split_clause,[],[f37282,f69151])).
% 26.16/5.01 tff(f69151,plain,(
% 26.16/5.01 spl4009_425 <=> ordere6911136660526730532id_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_425])])).
% 26.16/5.01 tff(f37282,plain,(
% 26.16/5.01 ordere6911136660526730532id_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9189])).
% 26.16/5.01 tff(f9189,axiom,(
% 26.16/5.01 ordere6911136660526730532id_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__comm__monoid__add)).
% 26.16/5.01 tff(f69149,plain,(
% 26.16/5.01 spl4009_424),
% 26.16/5.01 inference(avatar_split_clause,[],[f37281,f69146])).
% 26.16/5.01 tff(f69146,plain,(
% 26.16/5.01 spl4009_424 <=> ordere6911136660526730532id_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_424])])).
% 26.16/5.01 tff(f37281,plain,(
% 26.16/5.01 ordere6911136660526730532id_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9846])).
% 26.16/5.01 tff(f9846,axiom,(
% 26.16/5.01 ordere6911136660526730532id_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__comm__monoid__add_554)).
% 26.16/5.01 tff(f69144,plain,(
% 26.16/5.01 spl4009_423),
% 26.16/5.01 inference(avatar_split_clause,[],[f37280,f69141])).
% 26.16/5.01 tff(f69141,plain,(
% 26.16/5.01 spl4009_423 <=> ordere6911136660526730532id_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_423])])).
% 26.16/5.01 tff(f37280,plain,(
% 26.16/5.01 ordere6911136660526730532id_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9380])).
% 26.16/5.01 tff(f9380,axiom,(
% 26.16/5.01 ordere6911136660526730532id_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__comm__monoid__add_117)).
% 26.16/5.01 tff(f69139,plain,(
% 26.16/5.01 spl4009_422),
% 26.16/5.01 inference(avatar_split_clause,[],[f37279,f69136])).
% 26.16/5.01 tff(f69136,plain,(
% 26.16/5.01 spl4009_422 <=> ordere6911136660526730532id_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_422])])).
% 26.16/5.01 tff(f37279,plain,(
% 26.16/5.01 ordere6911136660526730532id_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9746])).
% 26.16/5.01 tff(f9746,axiom,(
% 26.16/5.01 ordere6911136660526730532id_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__comm__monoid__add_454)).
% 26.16/5.01 tff(f69134,plain,(
% 26.16/5.01 spl4009_421),
% 26.16/5.01 inference(avatar_split_clause,[],[f37278,f69131])).
% 26.16/5.01 tff(f69131,plain,(
% 26.16/5.01 spl4009_421 <=> linord181362715937106298miring(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_421])])).
% 26.16/5.01 tff(f37278,plain,(
% 26.16/5.01 linord181362715937106298miring(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9290])).
% 26.16/5.01 tff(f9290,axiom,(
% 26.16/5.01 linord181362715937106298miring(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__nonzero__semiring_33)).
% 26.16/5.01 tff(f69129,plain,(
% 26.16/5.01 spl4009_420),
% 26.16/5.01 inference(avatar_split_clause,[],[f37277,f69126])).
% 26.16/5.01 tff(f69126,plain,(
% 26.16/5.01 spl4009_420 <=> linord181362715937106298miring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_420])])).
% 26.16/5.01 tff(f37277,plain,(
% 26.16/5.01 linord181362715937106298miring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9536])).
% 26.16/5.01 tff(f9536,axiom,(
% 26.16/5.01 linord181362715937106298miring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__nonzero__semiring_256)).
% 26.16/5.01 tff(f69124,plain,(
% 26.16/5.01 spl4009_419),
% 26.16/5.01 inference(avatar_split_clause,[],[f37276,f69121])).
% 26.16/5.01 tff(f69121,plain,(
% 26.16/5.01 spl4009_419 <=> linord181362715937106298miring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_419])])).
% 26.16/5.01 tff(f37276,plain,(
% 26.16/5.01 linord181362715937106298miring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9182])).
% 26.16/5.01 tff(f9182,axiom,(
% 26.16/5.01 linord181362715937106298miring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__nonzero__semiring)).
% 26.16/5.01 tff(f69119,plain,(
% 26.16/5.01 spl4009_418),
% 26.16/5.01 inference(avatar_split_clause,[],[f37275,f69116])).
% 26.16/5.01 tff(f69116,plain,(
% 26.16/5.01 spl4009_418 <=> linord181362715937106298miring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_418])])).
% 26.16/5.01 tff(f37275,plain,(
% 26.16/5.01 linord181362715937106298miring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9841])).
% 26.16/5.01 tff(f9841,axiom,(
% 26.16/5.01 linord181362715937106298miring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__nonzero__semiring_549)).
% 26.16/5.01 tff(f69114,plain,(
% 26.16/5.01 spl4009_417),
% 26.16/5.01 inference(avatar_split_clause,[],[f37274,f69111])).
% 26.16/5.01 tff(f69111,plain,(
% 26.16/5.01 spl4009_417 <=> linord181362715937106298miring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_417])])).
% 26.16/5.01 tff(f37274,plain,(
% 26.16/5.01 linord181362715937106298miring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9374])).
% 26.16/5.01 tff(f9374,axiom,(
% 26.16/5.01 linord181362715937106298miring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__nonzero__semiring_112)).
% 26.16/5.01 tff(f69109,plain,(
% 26.16/5.01 spl4009_416),
% 26.16/5.01 inference(avatar_split_clause,[],[f37273,f69106])).
% 26.16/5.01 tff(f69106,plain,(
% 26.16/5.01 spl4009_416 <=> linord181362715937106298miring(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_416])])).
% 26.16/5.01 tff(f37273,plain,(
% 26.16/5.01 linord181362715937106298miring(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9743])).
% 26.16/5.01 tff(f9743,axiom,(
% 26.16/5.01 linord181362715937106298miring(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Olinordered__nonzero__semiring_451)).
% 26.16/5.01 tff(f69104,plain,(
% 26.16/5.01 spl4009_415),
% 26.16/5.01 inference(avatar_split_clause,[],[f37272,f69101])).
% 26.16/5.01 tff(f69101,plain,(
% 26.16/5.01 spl4009_415 <=> topological_t2_space(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_415])])).
% 26.16/5.01 tff(f37272,plain,(
% 26.16/5.01 topological_t2_space(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9302])).
% 26.16/5.01 tff(f9302,axiom,(
% 26.16/5.01 topological_t2_space(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Ot2__space_45)).
% 26.16/5.01 tff(f69099,plain,(
% 26.16/5.01 spl4009_414),
% 26.16/5.01 inference(avatar_split_clause,[],[f37271,f69096])).
% 26.16/5.01 tff(f69096,plain,(
% 26.16/5.01 spl4009_414 <=> topological_t2_space(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_414])])).
% 26.16/5.01 tff(f37271,plain,(
% 26.16/5.01 topological_t2_space(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9488])).
% 26.16/5.01 tff(f9488,axiom,(
% 26.16/5.01 topological_t2_space(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Ot2__space_218)).
% 26.16/5.01 tff(f69094,plain,(
% 26.16/5.01 spl4009_413),
% 26.16/5.01 inference(avatar_split_clause,[],[f37270,f69091])).
% 26.16/5.01 tff(f69091,plain,(
% 26.16/5.01 spl4009_413 <=> topological_t2_space(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_413])])).
% 26.16/5.01 tff(f37270,plain,(
% 26.16/5.01 topological_t2_space(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9559])).
% 26.16/5.01 tff(f9559,axiom,(
% 26.16/5.01 topological_t2_space(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ot2__space_270)).
% 26.16/5.01 tff(f69089,plain,(
% 26.16/5.01 spl4009_412),
% 26.16/5.01 inference(avatar_split_clause,[],[f37269,f69086])).
% 26.16/5.01 tff(f69086,plain,(
% 26.16/5.01 spl4009_412 <=> topological_t2_space(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_412])])).
% 26.16/5.01 tff(f37269,plain,(
% 26.16/5.01 topological_t2_space(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9198])).
% 26.16/5.01 tff(f9198,axiom,(
% 26.16/5.01 topological_t2_space(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Ot2__space)).
% 26.16/5.01 tff(f69084,plain,(
% 26.16/5.01 spl4009_411),
% 26.16/5.01 inference(avatar_split_clause,[],[f37268,f69081])).
% 26.16/5.01 tff(f69081,plain,(
% 26.16/5.01 spl4009_411 <=> topological_t2_space(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_411])])).
% 26.16/5.01 tff(f37268,plain,(
% 26.16/5.01 topological_t2_space(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9688])).
% 26.16/5.01 tff(f9688,axiom,(
% 26.16/5.01 topological_t2_space(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ot2__space_397)).
% 26.16/5.01 tff(f69079,plain,(
% 26.16/5.01 spl4009_410),
% 26.16/5.01 inference(avatar_split_clause,[],[f37267,f69076])).
% 26.16/5.01 tff(f69076,plain,(
% 26.16/5.01 spl4009_410 <=> order_top(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_410])])).
% 26.16/5.01 tff(f37267,plain,(
% 26.16/5.01 order_top(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9495])).
% 26.16/5.01 tff(f9495,axiom,(
% 26.16/5.01 order_top(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Oorder__top_225)).
% 26.16/5.01 tff(f69074,plain,(
% 26.16/5.01 spl4009_409),
% 26.16/5.01 inference(avatar_split_clause,[],[f37266,f69071])).
% 26.16/5.01 tff(f69071,plain,(
% 26.16/5.01 spl4009_409 <=> order_top(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_409])])).
% 26.16/5.01 tff(f37266,plain,(
% 26.16/5.01 order_top(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9767])).
% 26.16/5.01 tff(f9767,axiom,(
% 26.16/5.01 order_top(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Oorder__top_475)).
% 26.16/5.01 tff(f69069,plain,(
% 26.16/5.01 spl4009_408),
% 26.16/5.01 inference(avatar_split_clause,[],[f37265,f69066])).
% 26.16/5.01 tff(f69066,plain,(
% 26.16/5.01 spl4009_408 <=> order_top(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_408])])).
% 26.16/5.01 tff(f37265,plain,(
% 26.16/5.01 order_top(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9810])).
% 26.16/5.01 tff(f9810,axiom,(
% 26.16/5.01 order_top(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Oorder__top_518)).
% 26.16/5.01 tff(f69064,plain,(
% 26.16/5.01 spl4009_407),
% 26.16/5.01 inference(avatar_split_clause,[],[f37264,f69061])).
% 26.16/5.01 tff(f69061,plain,(
% 26.16/5.01 spl4009_407 <=> comple9053668089753744459l_ccpo(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_407])])).
% 26.16/5.01 tff(f37264,plain,(
% 26.16/5.01 comple9053668089753744459l_ccpo(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9490])).
% 26.16/5.01 tff(f9490,axiom,(
% 26.16/5.01 comple9053668089753744459l_ccpo(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Partial__Order_Occpo_220)).
% 26.16/5.01 tff(f69059,plain,(
% 26.16/5.01 spl4009_406),
% 26.16/5.01 inference(avatar_split_clause,[],[f37263,f69056])).
% 26.16/5.01 tff(f69056,plain,(
% 26.16/5.01 spl4009_406 <=> comple9053668089753744459l_ccpo(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_406])])).
% 26.16/5.01 tff(f37263,plain,(
% 26.16/5.01 comple9053668089753744459l_ccpo(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9749])).
% 26.16/5.01 tff(f9749,axiom,(
% 26.16/5.01 comple9053668089753744459l_ccpo(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Partial__Order_Occpo_457)).
% 26.16/5.01 tff(f69054,plain,(
% 26.16/5.01 spl4009_405),
% 26.16/5.01 inference(avatar_split_clause,[],[f37262,f69051])).
% 26.16/5.01 tff(f69051,plain,(
% 26.16/5.01 spl4009_405 <=> comple9053668089753744459l_ccpo(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_405])])).
% 26.16/5.01 tff(f37262,plain,(
% 26.16/5.01 comple9053668089753744459l_ccpo(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9804])).
% 26.16/5.01 tff(f9804,axiom,(
% 26.16/5.01 comple9053668089753744459l_ccpo(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Partial__Order_Occpo_512)).
% 26.16/5.01 tff(f69049,plain,(
% 26.16/5.01 spl4009_404),
% 26.16/5.01 inference(avatar_split_clause,[],[f37261,f69046])).
% 26.16/5.01 tff(f69046,plain,(
% 26.16/5.01 spl4009_404 <=> bounde4967611905675639751up_bot(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_404])])).
% 26.16/5.01 tff(f37261,plain,(
% 26.16/5.01 bounde4967611905675639751up_bot(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9482])).
% 26.16/5.01 tff(f9482,axiom,(
% 26.16/5.01 bounde4967611905675639751up_bot(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__semilattice__sup__bot_212)).
% 26.16/5.01 tff(f69044,plain,(
% 26.16/5.01 spl4009_403),
% 26.16/5.01 inference(avatar_split_clause,[],[f37260,f69041])).
% 26.16/5.01 tff(f69041,plain,(
% 26.16/5.01 spl4009_403 <=> bounde4967611905675639751up_bot(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_403])])).
% 26.16/5.01 tff(f37260,plain,(
% 26.16/5.01 bounde4967611905675639751up_bot(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9738])).
% 26.16/5.01 tff(f9738,axiom,(
% 26.16/5.01 bounde4967611905675639751up_bot(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__semilattice__sup__bot_447)).
% 26.16/5.01 tff(f69039,plain,(
% 26.16/5.01 spl4009_402),
% 26.16/5.01 inference(avatar_split_clause,[],[f37259,f69036])).
% 26.16/5.01 tff(f69036,plain,(
% 26.16/5.01 spl4009_402 <=> bounde4967611905675639751up_bot(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_402])])).
% 26.16/5.01 tff(f37259,plain,(
% 26.16/5.01 bounde4967611905675639751up_bot(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9798])).
% 26.16/5.01 tff(f9798,axiom,(
% 26.16/5.01 bounde4967611905675639751up_bot(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__semilattice__sup__bot_506)).
% 26.16/5.01 tff(f69034,plain,(
% 26.16/5.01 spl4009_401),
% 26.16/5.01 inference(avatar_split_clause,[],[f37258,f69031])).
% 26.16/5.01 tff(f69031,plain,(
% 26.16/5.01 spl4009_401 <=> cancel_semigroup_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_401])])).
% 26.16/5.01 tff(f37258,plain,(
% 26.16/5.01 cancel_semigroup_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9305])).
% 26.16/5.01 tff(f9305,axiom,(
% 26.16/5.01 cancel_semigroup_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__semigroup__add_48)).
% 26.16/5.01 tff(f69029,plain,(
% 26.16/5.01 spl4009_400),
% 26.16/5.01 inference(avatar_split_clause,[],[f37257,f69026])).
% 26.16/5.01 tff(f69026,plain,(
% 26.16/5.01 spl4009_400 <=> ordere6658533253407199908up_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_400])])).
% 26.16/5.01 tff(f37257,plain,(
% 26.16/5.01 ordere6658533253407199908up_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9293])).
% 26.16/5.01 tff(f9293,axiom,(
% 26.16/5.01 ordere6658533253407199908up_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add_36)).
% 26.16/5.01 tff(f69024,plain,(
% 26.16/5.01 spl4009_399),
% 26.16/5.01 inference(avatar_split_clause,[],[f37256,f69021])).
% 26.16/5.01 tff(f69021,plain,(
% 26.16/5.01 spl4009_399 <=> ordere6658533253407199908up_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_399])])).
% 26.16/5.01 tff(f37256,plain,(
% 26.16/5.01 ordere6658533253407199908up_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9545])).
% 26.16/5.01 tff(f9545,axiom,(
% 26.16/5.01 ordere6658533253407199908up_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add_259)).
% 26.16/5.01 tff(f69019,plain,(
% 26.16/5.01 spl4009_398),
% 26.16/5.01 inference(avatar_split_clause,[],[f37255,f69016])).
% 26.16/5.01 tff(f69016,plain,(
% 26.16/5.01 spl4009_398 <=> cancel_semigroup_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_398])])).
% 26.16/5.01 tff(f37255,plain,(
% 26.16/5.01 cancel_semigroup_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9564])).
% 26.16/5.01 tff(f9564,axiom,(
% 26.16/5.01 cancel_semigroup_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__semigroup__add_275)).
% 26.16/5.01 tff(f69014,plain,(
% 26.16/5.01 spl4009_397),
% 26.16/5.01 inference(avatar_split_clause,[],[f37254,f69011])).
% 26.16/5.01 tff(f69011,plain,(
% 26.16/5.01 spl4009_397 <=> cancel_semigroup_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_397])])).
% 26.16/5.01 tff(f37254,plain,(
% 26.16/5.01 cancel_semigroup_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9203])).
% 26.16/5.01 tff(f9203,axiom,(
% 26.16/5.01 cancel_semigroup_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__semigroup__add)).
% 26.16/5.01 tff(f69009,plain,(
% 26.16/5.01 spl4009_396),
% 26.16/5.01 inference(avatar_split_clause,[],[f37253,f69006])).
% 26.16/5.01 tff(f69006,plain,(
% 26.16/5.01 spl4009_396 <=> ordere6658533253407199908up_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_396])])).
% 26.16/5.01 tff(f37253,plain,(
% 26.16/5.01 ordere6658533253407199908up_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9185])).
% 26.16/5.01 tff(f9185,axiom,(
% 26.16/5.01 ordere6658533253407199908up_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add)).
% 26.16/5.01 tff(f69004,plain,(
% 26.16/5.01 spl4009_395),
% 26.16/5.01 inference(avatar_split_clause,[],[f37252,f69001])).
% 26.16/5.01 tff(f69001,plain,(
% 26.16/5.01 spl4009_395 <=> ordere6658533253407199908up_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_395])])).
% 26.16/5.01 tff(f37252,plain,(
% 26.16/5.01 ordere6658533253407199908up_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9844])).
% 26.16/5.01 tff(f9844,axiom,(
% 26.16/5.01 ordere6658533253407199908up_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add_552)).
% 26.16/5.01 tff(f68999,plain,(
% 26.16/5.01 spl4009_394),
% 26.16/5.01 inference(avatar_split_clause,[],[f37251,f68996])).
% 26.16/5.01 tff(f68996,plain,(
% 26.16/5.01 spl4009_394 <=> cancel_semigroup_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_394])])).
% 26.16/5.01 tff(f37251,plain,(
% 26.16/5.01 cancel_semigroup_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9857])).
% 26.16/5.01 tff(f9857,axiom,(
% 26.16/5.01 cancel_semigroup_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__semigroup__add_565)).
% 26.16/5.01 tff(f68994,plain,(
% 26.16/5.01 spl4009_393),
% 26.16/5.01 inference(avatar_split_clause,[],[f37250,f68991])).
% 26.16/5.01 tff(f68991,plain,(
% 26.16/5.01 spl4009_393 <=> ordere6658533253407199908up_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_393])])).
% 26.16/5.01 tff(f37250,plain,(
% 26.16/5.01 ordere6658533253407199908up_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9377])).
% 26.16/5.01 tff(f9377,axiom,(
% 26.16/5.01 ordere6658533253407199908up_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add_115)).
% 26.16/5.01 tff(f68989,plain,(
% 26.16/5.01 spl4009_392),
% 26.16/5.01 inference(avatar_split_clause,[],[f37249,f68986])).
% 26.16/5.01 tff(f68986,plain,(
% 26.16/5.01 spl4009_392 <=> cancel_semigroup_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_392])])).
% 26.16/5.01 tff(f37249,plain,(
% 26.16/5.01 cancel_semigroup_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9390])).
% 26.16/5.01 tff(f9390,axiom,(
% 26.16/5.01 cancel_semigroup_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__semigroup__add_127)).
% 26.16/5.01 tff(f68984,plain,(
% 26.16/5.01 spl4009_391),
% 26.16/5.01 inference(avatar_split_clause,[],[f37248,f68981])).
% 26.16/5.01 tff(f68981,plain,(
% 26.16/5.01 spl4009_391 <=> cancel_semigroup_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_391])])).
% 26.16/5.01 tff(f37248,plain,(
% 26.16/5.01 cancel_semigroup_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9690])).
% 26.16/5.01 tff(f9690,axiom,(
% 26.16/5.01 cancel_semigroup_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__semigroup__add_399)).
% 26.16/5.01 tff(f68979,plain,(
% 26.16/5.01 spl4009_390),
% 26.16/5.01 inference(avatar_split_clause,[],[f37247,f68976])).
% 26.16/5.01 tff(f68976,plain,(
% 26.16/5.01 spl4009_390 <=> ordere6658533253407199908up_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_390])])).
% 26.16/5.01 tff(f37247,plain,(
% 26.16/5.01 ordere6658533253407199908up_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9745])).
% 26.16/5.01 tff(f9745,axiom,(
% 26.16/5.01 ordere6658533253407199908up_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Oordered__ab__semigroup__add_453)).
% 26.16/5.01 tff(f68974,plain,(
% 26.16/5.01 spl4009_389),
% 26.16/5.01 inference(avatar_split_clause,[],[f37246,f68971])).
% 26.16/5.01 tff(f68971,plain,(
% 26.16/5.01 spl4009_389 <=> cancel1802427076303600483id_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_389])])).
% 26.16/5.01 tff(f37246,plain,(
% 26.16/5.01 cancel1802427076303600483id_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9299])).
% 26.16/5.01 tff(f9299,axiom,(
% 26.16/5.01 cancel1802427076303600483id_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__comm__monoid__add_42)).
% 26.16/5.01 tff(f68969,plain,(
% 26.16/5.01 spl4009_388),
% 26.16/5.01 inference(avatar_split_clause,[],[f37245,f68966])).
% 26.16/5.01 tff(f68966,plain,(
% 26.16/5.01 spl4009_388 <=> cancel1802427076303600483id_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_388])])).
% 26.16/5.01 tff(f37245,plain,(
% 26.16/5.01 cancel1802427076303600483id_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9555])).
% 26.16/5.01 tff(f9555,axiom,(
% 26.16/5.01 cancel1802427076303600483id_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add_267)).
% 26.16/5.01 tff(f68964,plain,(
% 26.16/5.01 spl4009_387),
% 26.16/5.01 inference(avatar_split_clause,[],[f37244,f68961])).
% 26.16/5.01 tff(f68961,plain,(
% 26.16/5.01 spl4009_387 <=> cancel1802427076303600483id_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_387])])).
% 26.16/5.01 tff(f37244,plain,(
% 26.16/5.01 cancel1802427076303600483id_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9194])).
% 26.16/5.01 tff(f9194,axiom,(
% 26.16/5.01 cancel1802427076303600483id_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__comm__monoid__add)).
% 26.16/5.01 tff(f68959,plain,(
% 26.16/5.01 spl4009_386),
% 26.16/5.01 inference(avatar_split_clause,[],[f37243,f68956])).
% 26.16/5.01 tff(f68956,plain,(
% 26.16/5.01 spl4009_386 <=> cancel1802427076303600483id_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_386])])).
% 26.16/5.01 tff(f37243,plain,(
% 26.16/5.01 cancel1802427076303600483id_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9850])).
% 26.16/5.01 tff(f9850,axiom,(
% 26.16/5.01 cancel1802427076303600483id_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__comm__monoid__add_558)).
% 26.16/5.01 tff(f68954,plain,(
% 26.16/5.01 spl4009_385),
% 26.16/5.01 inference(avatar_split_clause,[],[f37242,f68951])).
% 26.16/5.01 tff(f68951,plain,(
% 26.16/5.01 spl4009_385 <=> cancel1802427076303600483id_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_385])])).
% 26.16/5.01 tff(f37242,plain,(
% 26.16/5.01 cancel1802427076303600483id_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9384])).
% 26.16/5.01 tff(f9384,axiom,(
% 26.16/5.01 cancel1802427076303600483id_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__comm__monoid__add_121)).
% 26.16/5.01 tff(f68949,plain,(
% 26.16/5.01 spl4009_384),
% 26.16/5.01 inference(avatar_split_clause,[],[f37241,f68946])).
% 26.16/5.01 tff(f68946,plain,(
% 26.16/5.01 spl4009_384 <=> cancel1802427076303600483id_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_384])])).
% 26.16/5.01 tff(f37241,plain,(
% 26.16/5.01 cancel1802427076303600483id_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9685])).
% 26.16/5.01 tff(f9685,axiom,(
% 26.16/5.01 cancel1802427076303600483id_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__comm__monoid__add_394)).
% 26.16/5.01 tff(f68944,plain,(
% 26.16/5.01 spl4009_383),
% 26.16/5.01 inference(avatar_split_clause,[],[f37240,f68941])).
% 26.16/5.01 tff(f68941,plain,(
% 26.16/5.01 spl4009_383 <=> cancel2418104881723323429up_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_383])])).
% 26.16/5.01 tff(f37240,plain,(
% 26.16/5.01 cancel2418104881723323429up_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9297])).
% 26.16/5.01 tff(f9297,axiom,(
% 26.16/5.01 cancel2418104881723323429up_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocancel__ab__semigroup__add_40)).
% 26.16/5.01 tff(f68939,plain,(
% 26.16/5.01 spl4009_382),
% 26.16/5.01 inference(avatar_split_clause,[],[f37239,f68936])).
% 26.16/5.01 tff(f68936,plain,(
% 26.16/5.01 spl4009_382 <=> comm_s4317794764714335236cancel(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_382])])).
% 26.16/5.01 tff(f37239,plain,(
% 26.16/5.01 comm_s4317794764714335236cancel(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9300])).
% 26.16/5.01 tff(f9300,axiom,(
% 26.16/5.01 comm_s4317794764714335236cancel(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1__cancel_43)).
% 26.16/5.01 tff(f68934,plain,(
% 26.16/5.01 spl4009_381),
% 26.16/5.01 inference(avatar_split_clause,[],[f37238,f68931])).
% 26.16/5.01 tff(f68931,plain,(
% 26.16/5.01 spl4009_381 <=> semidom_divide(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_381])])).
% 26.16/5.01 tff(f37238,plain,(
% 26.16/5.01 semidom_divide(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9326])).
% 26.16/5.01 tff(f9326,axiom,(
% 26.16/5.01 semidom_divide(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__divide_68)).
% 26.16/5.01 tff(f68929,plain,(
% 26.16/5.01 spl4009_380),
% 26.16/5.01 inference(avatar_split_clause,[],[f37237,f68926])).
% 26.16/5.01 tff(f68926,plain,(
% 26.16/5.01 spl4009_380 <=> cancel2418104881723323429up_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_380])])).
% 26.16/5.01 tff(f37237,plain,(
% 26.16/5.01 cancel2418104881723323429up_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9551])).
% 26.16/5.01 tff(f9551,axiom,(
% 26.16/5.01 cancel2418104881723323429up_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add_264)).
% 26.16/5.01 tff(f68924,plain,(
% 26.16/5.01 spl4009_379),
% 26.16/5.01 inference(avatar_split_clause,[],[f37236,f68921])).
% 26.16/5.01 tff(f68921,plain,(
% 26.16/5.01 spl4009_379 <=> comm_s4317794764714335236cancel(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_379])])).
% 26.16/5.01 tff(f37236,plain,(
% 26.16/5.01 comm_s4317794764714335236cancel(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9557])).
% 26.16/5.01 tff(f9557,axiom,(
% 26.16/5.01 comm_s4317794764714335236cancel(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__semiring__1__cancel_269)).
% 26.16/5.01 tff(f68919,plain,(
% 26.16/5.01 spl4009_378),
% 26.16/5.01 inference(avatar_split_clause,[],[f37235,f68916])).
% 26.16/5.01 tff(f68916,plain,(
% 26.16/5.01 spl4009_378 <=> semidom_divide(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_378])])).
% 26.16/5.01 tff(f37235,plain,(
% 26.16/5.01 semidom_divide(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9587])).
% 26.16/5.01 tff(f9587,axiom,(
% 26.16/5.01 semidom_divide(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemidom__divide_297)).
% 26.16/5.01 tff(f68914,plain,(
% 26.16/5.01 spl4009_377),
% 26.16/5.01 inference(avatar_split_clause,[],[f37234,f68911])).
% 26.16/5.01 tff(f68911,plain,(
% 26.16/5.01 spl4009_377 <=> comm_s4317794764714335236cancel(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_377])])).
% 26.16/5.01 tff(f37234,plain,(
% 26.16/5.01 comm_s4317794764714335236cancel(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9196])).
% 26.16/5.01 tff(f9196,axiom,(
% 26.16/5.01 comm_s4317794764714335236cancel(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__semiring__1__cancel)).
% 26.16/5.01 tff(f68909,plain,(
% 26.16/5.01 spl4009_376),
% 26.16/5.01 inference(avatar_split_clause,[],[f37233,f68906])).
% 26.16/5.01 tff(f68906,plain,(
% 26.16/5.01 spl4009_376 <=> cancel2418104881723323429up_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_376])])).
% 26.16/5.01 tff(f37233,plain,(
% 26.16/5.01 cancel2418104881723323429up_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9191])).
% 26.16/5.01 tff(f9191,axiom,(
% 26.16/5.01 cancel2418104881723323429up_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ocancel__ab__semigroup__add)).
% 26.16/5.01 tff(f68904,plain,(
% 26.16/5.01 spl4009_375),
% 26.16/5.01 inference(avatar_split_clause,[],[f37232,f68901])).
% 26.16/5.01 tff(f68901,plain,(
% 26.16/5.01 spl4009_375 <=> semidom_divide(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_375])])).
% 26.16/5.01 tff(f37232,plain,(
% 26.16/5.01 semidom_divide(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9226])).
% 26.16/5.01 tff(f9226,axiom,(
% 26.16/5.01 semidom_divide(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__divide)).
% 26.16/5.01 tff(f68899,plain,(
% 26.16/5.01 spl4009_374),
% 26.16/5.01 inference(avatar_split_clause,[],[f37231,f68896])).
% 26.16/5.01 tff(f68896,plain,(
% 26.16/5.01 spl4009_374 <=> semidom_divide(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_374])])).
% 26.16/5.01 tff(f37231,plain,(
% 26.16/5.01 semidom_divide(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9877])).
% 26.16/5.01 tff(f9877,axiom,(
% 26.16/5.01 semidom_divide(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__divide_585)).
% 26.16/5.01 tff(f68894,plain,(
% 26.16/5.01 spl4009_373),
% 26.16/5.01 inference(avatar_split_clause,[],[f37230,f68891])).
% 26.16/5.01 tff(f68891,plain,(
% 26.16/5.01 spl4009_373 <=> comm_s4317794764714335236cancel(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_373])])).
% 26.16/5.01 tff(f37230,plain,(
% 26.16/5.01 comm_s4317794764714335236cancel(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9852])).
% 26.16/5.01 tff(f9852,axiom,(
% 26.16/5.01 comm_s4317794764714335236cancel(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__semiring__1__cancel_560)).
% 26.16/5.01 tff(f68889,plain,(
% 26.16/5.01 spl4009_372),
% 26.16/5.01 inference(avatar_split_clause,[],[f37229,f68886])).
% 26.16/5.01 tff(f68886,plain,(
% 26.16/5.01 spl4009_372 <=> cancel2418104881723323429up_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_372])])).
% 26.16/5.01 tff(f37229,plain,(
% 26.16/5.01 cancel2418104881723323429up_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9848])).
% 26.16/5.01 tff(f9848,axiom,(
% 26.16/5.01 cancel2418104881723323429up_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ocancel__ab__semigroup__add_556)).
% 26.16/5.01 tff(f68884,plain,(
% 26.16/5.01 spl4009_371),
% 26.16/5.01 inference(avatar_split_clause,[],[f37228,f68881])).
% 26.16/5.01 tff(f68881,plain,(
% 26.16/5.01 spl4009_371 <=> semidom_divide(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_371])])).
% 26.16/5.01 tff(f37228,plain,(
% 26.16/5.01 semidom_divide(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9412])).
% 26.16/5.01 tff(f9412,axiom,(
% 26.16/5.01 semidom_divide(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemidom__divide_146)).
% 26.16/5.01 tff(f68879,plain,(
% 26.16/5.01 spl4009_370),
% 26.16/5.01 inference(avatar_split_clause,[],[f37227,f68876])).
% 26.16/5.01 tff(f68876,plain,(
% 26.16/5.01 spl4009_370 <=> comm_s4317794764714335236cancel(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_370])])).
% 26.16/5.01 tff(f37227,plain,(
% 26.16/5.01 comm_s4317794764714335236cancel(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9386])).
% 26.16/5.01 tff(f9386,axiom,(
% 26.16/5.01 comm_s4317794764714335236cancel(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__semiring__1__cancel_123)).
% 26.16/5.01 tff(f68874,plain,(
% 26.16/5.01 spl4009_369),
% 26.16/5.01 inference(avatar_split_clause,[],[f37226,f68871])).
% 26.16/5.01 tff(f68871,plain,(
% 26.16/5.01 spl4009_369 <=> cancel2418104881723323429up_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_369])])).
% 26.16/5.01 tff(f37226,plain,(
% 26.16/5.01 cancel2418104881723323429up_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9382])).
% 26.16/5.01 tff(f9382,axiom,(
% 26.16/5.01 cancel2418104881723323429up_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ocancel__ab__semigroup__add_119)).
% 26.16/5.01 tff(f68869,plain,(
% 26.16/5.01 spl4009_368),
% 26.16/5.01 inference(avatar_split_clause,[],[f37225,f68866])).
% 26.16/5.01 tff(f68866,plain,(
% 26.16/5.01 spl4009_368 <=> comm_s4317794764714335236cancel(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_368])])).
% 26.16/5.01 tff(f37225,plain,(
% 26.16/5.01 comm_s4317794764714335236cancel(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9686])).
% 26.16/5.01 tff(f9686,axiom,(
% 26.16/5.01 comm_s4317794764714335236cancel(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__semiring__1__cancel_395)).
% 26.16/5.01 tff(f68864,plain,(
% 26.16/5.01 spl4009_367),
% 26.16/5.01 inference(avatar_split_clause,[],[f37224,f68861])).
% 26.16/5.01 tff(f68861,plain,(
% 26.16/5.01 spl4009_367 <=> cancel2418104881723323429up_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_367])])).
% 26.16/5.01 tff(f37224,plain,(
% 26.16/5.01 cancel2418104881723323429up_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9681])).
% 26.16/5.01 tff(f9681,axiom,(
% 26.16/5.01 cancel2418104881723323429up_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ocancel__ab__semigroup__add_390)).
% 26.16/5.01 tff(f68859,plain,(
% 26.16/5.01 spl4009_366),
% 26.16/5.01 inference(avatar_split_clause,[],[f37223,f68856])).
% 26.16/5.01 tff(f68856,plain,(
% 26.16/5.01 spl4009_366 <=> semidom_divide(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_366])])).
% 26.16/5.01 tff(f37223,plain,(
% 26.16/5.01 semidom_divide(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9700])).
% 26.16/5.01 tff(f9700,axiom,(
% 26.16/5.01 semidom_divide(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemidom__divide_409)).
% 26.16/5.01 tff(f68854,plain,(
% 26.16/5.01 spl4009_365),
% 26.16/5.01 inference(avatar_split_clause,[],[f37222,f68851])).
% 26.16/5.01 tff(f68851,plain,(
% 26.16/5.01 spl4009_365 <=> ordered_semiring(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_365])])).
% 26.16/5.01 tff(f37222,plain,(
% 26.16/5.01 ordered_semiring(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9318])).
% 26.16/5.01 tff(f9318,axiom,(
% 26.16/5.01 ordered_semiring(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring_60)).
% 26.16/5.01 tff(f68849,plain,(
% 26.16/5.01 spl4009_364),
% 26.16/5.01 inference(avatar_split_clause,[],[f37221,f68846])).
% 26.16/5.01 tff(f68846,plain,(
% 26.16/5.01 spl4009_364 <=> bounded_lattice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_364])])).
% 26.16/5.01 tff(f37221,plain,(
% 26.16/5.01 bounded_lattice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9494])).
% 26.16/5.01 tff(f9494,axiom,(
% 26.16/5.01 bounded_lattice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice_224)).
% 26.16/5.01 tff(f68844,plain,(
% 26.16/5.01 spl4009_363),
% 26.16/5.01 inference(avatar_split_clause,[],[f37220,f68841])).
% 26.16/5.01 tff(f68841,plain,(
% 26.16/5.01 spl4009_363 <=> ordered_semiring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_363])])).
% 26.16/5.01 tff(f37220,plain,(
% 26.16/5.01 ordered_semiring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9578])).
% 26.16/5.01 tff(f9578,axiom,(
% 26.16/5.01 ordered_semiring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring_288)).
% 26.16/5.01 tff(f68839,plain,(
% 26.16/5.01 spl4009_362),
% 26.16/5.01 inference(avatar_split_clause,[],[f37219,f68836])).
% 26.16/5.01 tff(f68836,plain,(
% 26.16/5.01 spl4009_362 <=> ordered_semiring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_362])])).
% 26.16/5.01 tff(f37219,plain,(
% 26.16/5.01 ordered_semiring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9215])).
% 26.16/5.01 tff(f9215,axiom,(
% 26.16/5.01 ordered_semiring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring)).
% 26.16/5.01 tff(f68834,plain,(
% 26.16/5.01 spl4009_361),
% 26.16/5.01 inference(avatar_split_clause,[],[f37218,f68831])).
% 26.16/5.01 tff(f68831,plain,(
% 26.16/5.01 spl4009_361 <=> ordered_semiring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_361])])).
% 26.16/5.01 tff(f37218,plain,(
% 26.16/5.01 ordered_semiring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9866])).
% 26.16/5.01 tff(f9866,axiom,(
% 26.16/5.01 ordered_semiring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring_574)).
% 26.16/5.01 tff(f68829,plain,(
% 26.16/5.01 spl4009_360),
% 26.16/5.01 inference(avatar_split_clause,[],[f37217,f68826])).
% 26.16/5.01 tff(f68826,plain,(
% 26.16/5.01 spl4009_360 <=> ordered_semiring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_360])])).
% 26.16/5.01 tff(f37217,plain,(
% 26.16/5.01 ordered_semiring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9403])).
% 26.16/5.01 tff(f9403,axiom,(
% 26.16/5.01 ordered_semiring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring_138)).
% 26.16/5.01 tff(f68824,plain,(
% 26.16/5.01 spl4009_359),
% 26.16/5.01 inference(avatar_split_clause,[],[f37216,f68821])).
% 26.16/5.01 tff(f68821,plain,(
% 26.16/5.01 spl4009_359 <=> ordered_semiring(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_359])])).
% 26.16/5.01 tff(f37216,plain,(
% 26.16/5.01 ordered_semiring(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9757])).
% 26.16/5.01 tff(f9757,axiom,(
% 26.16/5.01 ordered_semiring(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__semiring_465)).
% 26.16/5.01 tff(f68819,plain,(
% 26.16/5.01 spl4009_358),
% 26.16/5.01 inference(avatar_split_clause,[],[f37215,f68816])).
% 26.16/5.01 tff(f68816,plain,(
% 26.16/5.01 spl4009_358 <=> bounded_lattice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_358])])).
% 26.16/5.01 tff(f37215,plain,(
% 26.16/5.01 bounded_lattice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9753])).
% 26.16/5.01 tff(f9753,axiom,(
% 26.16/5.01 bounded_lattice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice_461)).
% 26.16/5.01 tff(f68814,plain,(
% 26.16/5.01 spl4009_357),
% 26.16/5.01 inference(avatar_split_clause,[],[f37214,f68811])).
% 26.16/5.01 tff(f68811,plain,(
% 26.16/5.01 spl4009_357 <=> bounded_lattice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_357])])).
% 26.16/5.01 tff(f37214,plain,(
% 26.16/5.01 bounded_lattice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9808])).
% 26.16/5.01 tff(f9808,axiom,(
% 26.16/5.01 bounded_lattice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice_516)).
% 26.16/5.01 tff(f68809,plain,(
% 26.16/5.01 spl4009_356),
% 26.16/5.01 inference(avatar_split_clause,[],[f37213,f68806])).
% 26.16/5.01 tff(f68806,plain,(
% 26.16/5.01 spl4009_356 <=> topological_t1_space(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_356])])).
% 26.16/5.01 tff(f37213,plain,(
% 26.16/5.01 topological_t1_space(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9303])).
% 26.16/5.01 tff(f9303,axiom,(
% 26.16/5.01 topological_t1_space(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Ot1__space_46)).
% 26.16/5.01 tff(f68804,plain,(
% 26.16/5.01 spl4009_355),
% 26.16/5.01 inference(avatar_split_clause,[],[f37212,f68801])).
% 26.16/5.01 tff(f68801,plain,(
% 26.16/5.01 spl4009_355 <=> semiri1453513574482234551roduct(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_355])])).
% 26.16/5.01 tff(f37212,plain,(
% 26.16/5.01 semiri1453513574482234551roduct(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9268])).
% 26.16/5.01 tff(f9268,axiom,(
% 26.16/5.01 semiri1453513574482234551roduct(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_13)).
% 26.16/5.01 tff(f68799,plain,(
% 26.16/5.01 spl4009_354),
% 26.16/5.01 inference(avatar_split_clause,[],[f37211,f68796])).
% 26.16/5.01 tff(f68796,plain,(
% 26.16/5.01 spl4009_354 <=> topological_t1_space(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_354])])).
% 26.16/5.01 tff(f37211,plain,(
% 26.16/5.01 topological_t1_space(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9489])).
% 26.16/5.01 tff(f9489,axiom,(
% 26.16/5.01 topological_t1_space(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Ot1__space_219)).
% 26.16/5.01 tff(f68794,plain,(
% 26.16/5.01 spl4009_353),
% 26.16/5.01 inference(avatar_split_clause,[],[f37210,f68791])).
% 26.16/5.01 tff(f68791,plain,(
% 26.16/5.01 spl4009_353 <=> semiri1453513574482234551roduct(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_353])])).
% 26.16/5.01 tff(f37210,plain,(
% 26.16/5.01 semiri1453513574482234551roduct(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9509])).
% 26.16/5.01 tff(f9509,axiom,(
% 26.16/5.01 semiri1453513574482234551roduct(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_239)).
% 26.16/5.01 tff(f68789,plain,(
% 26.16/5.01 spl4009_352),
% 26.16/5.01 inference(avatar_split_clause,[],[f37209,f68786])).
% 26.16/5.01 tff(f68786,plain,(
% 26.16/5.01 spl4009_352 <=> topological_t1_space(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_352])])).
% 26.16/5.01 tff(f37209,plain,(
% 26.16/5.01 topological_t1_space(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9560])).
% 26.16/5.01 tff(f9560,axiom,(
% 26.16/5.01 topological_t1_space(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ot1__space_271)).
% 26.16/5.01 tff(f68784,plain,(
% 26.16/5.01 spl4009_351),
% 26.16/5.01 inference(avatar_split_clause,[],[f37208,f68781])).
% 26.16/5.01 tff(f68781,plain,(
% 26.16/5.01 spl4009_351 <=> semiri1453513574482234551roduct(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_351])])).
% 26.16/5.01 tff(f37208,plain,(
% 26.16/5.01 semiri1453513574482234551roduct(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9158])).
% 26.16/5.01 tff(f9158,axiom,(
% 26.16/5.01 semiri1453513574482234551roduct(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 26.16/5.01 tff(f68779,plain,(
% 26.16/5.01 spl4009_350),
% 26.16/5.01 inference(avatar_split_clause,[],[f37207,f68776])).
% 26.16/5.01 tff(f68776,plain,(
% 26.16/5.01 spl4009_350 <=> topological_t1_space(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_350])])).
% 26.16/5.01 tff(f37207,plain,(
% 26.16/5.01 topological_t1_space(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9199])).
% 26.16/5.01 tff(f9199,axiom,(
% 26.16/5.01 topological_t1_space(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Ot1__space)).
% 26.16/5.01 tff(f68774,plain,(
% 26.16/5.01 spl4009_349),
% 26.16/5.01 inference(avatar_split_clause,[],[f37206,f68771])).
% 26.16/5.01 tff(f68771,plain,(
% 26.16/5.01 spl4009_349 <=> semiri1453513574482234551roduct(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_349])])).
% 26.16/5.01 tff(f37206,plain,(
% 26.16/5.01 semiri1453513574482234551roduct(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9822])).
% 26.16/5.01 tff(f9822,axiom,(
% 26.16/5.01 semiri1453513574482234551roduct(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_530)).
% 26.16/5.01 tff(f68769,plain,(
% 26.16/5.01 spl4009_348),
% 26.16/5.01 inference(avatar_split_clause,[],[f37205,f68766])).
% 26.16/5.01 tff(f68766,plain,(
% 26.16/5.01 spl4009_348 <=> semiri1453513574482234551roduct(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_348])])).
% 26.16/5.01 tff(f37205,plain,(
% 26.16/5.01 semiri1453513574482234551roduct(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9361])).
% 26.16/5.01 tff(f9361,axiom,(
% 26.16/5.01 semiri1453513574482234551roduct(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_101)).
% 26.16/5.01 tff(f68764,plain,(
% 26.16/5.01 spl4009_347),
% 26.16/5.01 inference(avatar_split_clause,[],[f37204,f68761])).
% 26.16/5.01 tff(f68761,plain,(
% 26.16/5.01 spl4009_347 <=> topological_t1_space(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_347])])).
% 26.16/5.01 tff(f37204,plain,(
% 26.16/5.01 topological_t1_space(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9689])).
% 26.16/5.01 tff(f9689,axiom,(
% 26.16/5.01 topological_t1_space(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ot1__space_398)).
% 26.16/5.01 tff(f68759,plain,(
% 26.16/5.01 spl4009_346),
% 26.16/5.01 inference(avatar_split_clause,[],[f37203,f68756])).
% 26.16/5.01 tff(f68756,plain,(
% 26.16/5.01 spl4009_346 <=> semiri1453513574482234551roduct(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_346])])).
% 26.16/5.01 tff(f37203,plain,(
% 26.16/5.01 semiri1453513574482234551roduct(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9661])).
% 26.16/5.01 tff(f9661,axiom,(
% 26.16/5.01 semiri1453513574482234551roduct(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct_370)).
% 26.16/5.01 tff(f68754,plain,(
% 26.16/5.01 spl4009_345),
% 26.16/5.01 inference(avatar_split_clause,[],[f37202,f68751])).
% 26.16/5.01 tff(f68751,plain,(
% 26.16/5.01 spl4009_345 <=> linord4140545234300271783up_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_345])])).
% 26.16/5.01 tff(f37202,plain,(
% 26.16/5.01 linord4140545234300271783up_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9287])).
% 26.16/5.01 tff(f9287,axiom,(
% 26.16/5.01 linord4140545234300271783up_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Olinordered__ab__semigroup__add_30)).
% 26.16/5.01 tff(f68749,plain,(
% 26.16/5.01 spl4009_344),
% 26.16/5.01 inference(avatar_split_clause,[],[f37201,f68746])).
% 26.16/5.01 tff(f68746,plain,(
% 26.16/5.01 spl4009_344 <=> semiri2026040879449505780visors(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_344])])).
% 26.16/5.01 tff(f37201,plain,(
% 26.16/5.01 semiri2026040879449505780visors(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9289])).
% 26.16/5.01 tff(f9289,axiom,(
% 26.16/5.01 semiri2026040879449505780visors(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__no__zero__divisors_32)).
% 26.16/5.01 tff(f68744,plain,(
% 26.16/5.01 spl4009_343),
% 26.16/5.01 inference(avatar_split_clause,[],[f37200,f68741])).
% 26.16/5.01 tff(f68741,plain,(
% 26.16/5.01 spl4009_343 <=> linord4140545234300271783up_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_343])])).
% 26.16/5.01 tff(f37200,plain,(
% 26.16/5.01 linord4140545234300271783up_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9533])).
% 26.16/5.01 tff(f9533,axiom,(
% 26.16/5.01 linord4140545234300271783up_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__semigroup__add_253)).
% 26.16/5.01 tff(f68739,plain,(
% 26.16/5.01 spl4009_342),
% 26.16/5.01 inference(avatar_split_clause,[],[f37199,f68736])).
% 26.16/5.01 tff(f68736,plain,(
% 26.16/5.01 spl4009_342 <=> semiri2026040879449505780visors(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_342])])).
% 26.16/5.01 tff(f37199,plain,(
% 26.16/5.01 semiri2026040879449505780visors(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9535])).
% 26.16/5.01 tff(f9535,axiom,(
% 26.16/5.01 semiri2026040879449505780visors(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__no__zero__divisors_255)).
% 26.16/5.01 tff(f68734,plain,(
% 26.16/5.01 spl4009_341),
% 26.16/5.01 inference(avatar_split_clause,[],[f37198,f68731])).
% 26.16/5.01 tff(f68731,plain,(
% 26.16/5.01 spl4009_341 <=> linord4140545234300271783up_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_341])])).
% 26.16/5.01 tff(f37198,plain,(
% 26.16/5.01 linord4140545234300271783up_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9178])).
% 26.16/5.01 tff(f9178,axiom,(
% 26.16/5.01 linord4140545234300271783up_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__semigroup__add)).
% 26.16/5.01 tff(f68729,plain,(
% 26.16/5.01 spl4009_340),
% 26.16/5.01 inference(avatar_split_clause,[],[f37197,f68726])).
% 26.16/5.01 tff(f68726,plain,(
% 26.16/5.01 spl4009_340 <=> semiri2026040879449505780visors(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_340])])).
% 26.16/5.01 tff(f37197,plain,(
% 26.16/5.01 semiri2026040879449505780visors(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9181])).
% 26.16/5.01 tff(f9181,axiom,(
% 26.16/5.01 semiri2026040879449505780visors(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__no__zero__divisors)).
% 26.16/5.01 tff(f68724,plain,(
% 26.16/5.01 spl4009_339),
% 26.16/5.01 inference(avatar_split_clause,[],[f37196,f68721])).
% 26.16/5.01 tff(f68721,plain,(
% 26.16/5.01 spl4009_339 <=> semiri2026040879449505780visors(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_339])])).
% 26.16/5.01 tff(f37196,plain,(
% 26.16/5.01 semiri2026040879449505780visors(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9840])).
% 26.16/5.01 tff(f9840,axiom,(
% 26.16/5.01 semiri2026040879449505780visors(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__no__zero__divisors_548)).
% 26.16/5.01 tff(f68719,plain,(
% 26.16/5.01 spl4009_338),
% 26.16/5.01 inference(avatar_split_clause,[],[f37195,f68716])).
% 26.16/5.01 tff(f68716,plain,(
% 26.16/5.01 spl4009_338 <=> linord4140545234300271783up_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_338])])).
% 26.16/5.01 tff(f37195,plain,(
% 26.16/5.01 linord4140545234300271783up_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9838])).
% 26.16/5.01 tff(f9838,axiom,(
% 26.16/5.01 linord4140545234300271783up_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__semigroup__add_546)).
% 26.16/5.01 tff(f68714,plain,(
% 26.16/5.01 spl4009_337),
% 26.16/5.01 inference(avatar_split_clause,[],[f37194,f68711])).
% 26.16/5.01 tff(f68711,plain,(
% 26.16/5.01 spl4009_337 <=> semiri2026040879449505780visors(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_337])])).
% 26.16/5.01 tff(f37194,plain,(
% 26.16/5.01 semiri2026040879449505780visors(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9373])).
% 26.16/5.01 tff(f9373,axiom,(
% 26.16/5.01 semiri2026040879449505780visors(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__no__zero__divisors_111)).
% 26.16/5.01 tff(f68709,plain,(
% 26.16/5.01 spl4009_336),
% 26.16/5.01 inference(avatar_split_clause,[],[f37193,f68706])).
% 26.16/5.01 tff(f68706,plain,(
% 26.16/5.01 spl4009_336 <=> linord4140545234300271783up_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_336])])).
% 26.16/5.01 tff(f37193,plain,(
% 26.16/5.01 linord4140545234300271783up_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9372])).
% 26.16/5.01 tff(f9372,axiom,(
% 26.16/5.01 linord4140545234300271783up_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__semigroup__add_110)).
% 26.16/5.01 tff(f68704,plain,(
% 26.16/5.01 spl4009_335),
% 26.16/5.01 inference(avatar_split_clause,[],[f37192,f68701])).
% 26.16/5.01 tff(f68701,plain,(
% 26.16/5.01 spl4009_335 <=> semiri2026040879449505780visors(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_335])])).
% 26.16/5.01 tff(f37192,plain,(
% 26.16/5.01 semiri2026040879449505780visors(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9672])).
% 26.16/5.01 tff(f9672,axiom,(
% 26.16/5.01 semiri2026040879449505780visors(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__no__zero__divisors_381)).
% 26.16/5.01 tff(f68699,plain,(
% 26.16/5.01 spl4009_334),
% 26.16/5.01 inference(avatar_split_clause,[],[f37191,f68696])).
% 26.16/5.01 tff(f68696,plain,(
% 26.16/5.01 spl4009_334 <=> linord4140545234300271783up_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_334])])).
% 26.16/5.01 tff(f37191,plain,(
% 26.16/5.01 linord4140545234300271783up_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9741])).
% 26.16/5.01 tff(f9741,axiom,(
% 26.16/5.01 linord4140545234300271783up_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Olinordered__ab__semigroup__add_449)).
% 26.16/5.01 tff(f68694,plain,(
% 26.16/5.01 spl4009_333),
% 26.16/5.01 inference(avatar_split_clause,[],[f37190,f68691])).
% 26.16/5.01 tff(f68691,plain,(
% 26.16/5.01 spl4009_333 <=> strict9044650504122735259up_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_333])])).
% 26.16/5.01 tff(f37190,plain,(
% 26.16/5.01 strict9044650504122735259up_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9274])).
% 26.16/5.01 tff(f9274,axiom,(
% 26.16/5.01 strict9044650504122735259up_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__ab__semigroup__add_19)).
% 26.16/5.01 tff(f68689,plain,(
% 26.16/5.01 spl4009_332),
% 26.16/5.01 inference(avatar_split_clause,[],[f37189,f68686])).
% 26.16/5.01 tff(f68686,plain,(
% 26.16/5.01 spl4009_332 <=> strict7427464778891057005id_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_332])])).
% 26.16/5.01 tff(f37189,plain,(
% 26.16/5.01 strict7427464778891057005id_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9280])).
% 26.16/5.01 tff(f9280,axiom,(
% 26.16/5.01 strict7427464778891057005id_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ostrict__ordered__comm__monoid__add_24)).
% 26.16/5.01 tff(f68684,plain,(
% 26.16/5.01 spl4009_331),
% 26.16/5.01 inference(avatar_split_clause,[],[f37188,f68681])).
% 26.16/5.01 tff(f68681,plain,(
% 26.16/5.01 spl4009_331 <=> bounded_lattice_bot(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_331])])).
% 26.16/5.01 tff(f37188,plain,(
% 26.16/5.01 bounded_lattice_bot(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9487])).
% 26.16/5.01 tff(f9487,axiom,(
% 26.16/5.01 bounded_lattice_bot(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Lattices_Obounded__lattice__bot_217)).
% 26.16/5.01 tff(f68679,plain,(
% 26.16/5.01 spl4009_330),
% 26.16/5.01 inference(avatar_split_clause,[],[f37187,f68676])).
% 26.16/5.01 tff(f68676,plain,(
% 26.16/5.01 spl4009_330 <=> top(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_330])])).
% 26.16/5.01 tff(f37187,plain,(
% 26.16/5.01 top(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9502])).
% 26.16/5.01 tff(f9502,axiom,(
% 26.16/5.01 top(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Orderings_Otop_232)).
% 26.16/5.01 tff(f68674,plain,(
% 26.16/5.01 spl4009_329),
% 26.16/5.01 inference(avatar_split_clause,[],[f37186,f68671])).
% 26.16/5.01 tff(f68671,plain,(
% 26.16/5.01 spl4009_329 <=> strict7427464778891057005id_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_329])])).
% 26.16/5.01 tff(f37186,plain,(
% 26.16/5.01 strict7427464778891057005id_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9522])).
% 26.16/5.01 tff(f9522,axiom,(
% 26.16/5.01 strict7427464778891057005id_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add_245)).
% 26.16/5.01 tff(f68669,plain,(
% 26.16/5.01 spl4009_328),
% 26.16/5.01 inference(avatar_split_clause,[],[f37185,f68666])).
% 26.16/5.01 tff(f68666,plain,(
% 26.16/5.01 spl4009_328 <=> strict9044650504122735259up_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_328])])).
% 26.16/5.01 tff(f37185,plain,(
% 26.16/5.01 strict9044650504122735259up_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9517])).
% 26.16/5.01 tff(f9517,axiom,(
% 26.16/5.01 strict9044650504122735259up_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add_241)).
% 26.16/5.01 tff(f68664,plain,(
% 26.16/5.01 spl4009_327),
% 26.16/5.01 inference(avatar_split_clause,[],[f37184,f68661])).
% 26.16/5.01 tff(f68661,plain,(
% 26.16/5.01 spl4009_327 <=> strict7427464778891057005id_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_327])])).
% 26.16/5.01 tff(f37184,plain,(
% 26.16/5.01 strict7427464778891057005id_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9171])).
% 26.16/5.01 tff(f9171,axiom,(
% 26.16/5.01 strict7427464778891057005id_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__comm__monoid__add)).
% 26.16/5.01 tff(f68659,plain,(
% 26.16/5.01 spl4009_326),
% 26.16/5.01 inference(avatar_split_clause,[],[f37183,f68656])).
% 26.16/5.01 tff(f68656,plain,(
% 26.16/5.01 spl4009_326 <=> strict9044650504122735259up_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_326])])).
% 26.16/5.01 tff(f37183,plain,(
% 26.16/5.01 strict9044650504122735259up_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9166])).
% 26.16/5.01 tff(f9166,axiom,(
% 26.16/5.01 strict9044650504122735259up_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ostrict__ordered__ab__semigroup__add)).
% 26.16/5.01 tff(f68654,plain,(
% 26.16/5.01 spl4009_325),
% 26.16/5.01 inference(avatar_split_clause,[],[f37182,f68651])).
% 26.16/5.01 tff(f68651,plain,(
% 26.16/5.01 spl4009_325 <=> strict7427464778891057005id_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_325])])).
% 26.16/5.01 tff(f37182,plain,(
% 26.16/5.01 strict7427464778891057005id_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9835])).
% 26.16/5.01 tff(f9835,axiom,(
% 26.16/5.01 strict7427464778891057005id_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__comm__monoid__add_543)).
% 26.16/5.01 tff(f68649,plain,(
% 26.16/5.01 spl4009_324),
% 26.16/5.01 inference(avatar_split_clause,[],[f37181,f68646])).
% 26.16/5.01 tff(f68646,plain,(
% 26.16/5.01 spl4009_324 <=> strict9044650504122735259up_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_324])])).
% 26.16/5.01 tff(f37181,plain,(
% 26.16/5.01 strict9044650504122735259up_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9830])).
% 26.16/5.01 tff(f9830,axiom,(
% 26.16/5.01 strict9044650504122735259up_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ostrict__ordered__ab__semigroup__add_538)).
% 26.16/5.01 tff(f68644,plain,(
% 26.16/5.01 spl4009_323),
% 26.16/5.01 inference(avatar_split_clause,[],[f37180,f68641])).
% 26.16/5.01 tff(f68641,plain,(
% 26.16/5.01 spl4009_323 <=> strict9044650504122735259up_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_323])])).
% 26.16/5.01 tff(f37180,plain,(
% 26.16/5.01 strict9044650504122735259up_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9363])).
% 26.16/5.01 tff(f9363,axiom,(
% 26.16/5.01 strict9044650504122735259up_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__ab__semigroup__add_103)).
% 26.16/5.01 tff(f68639,plain,(
% 26.16/5.01 spl4009_322),
% 26.16/5.01 inference(avatar_split_clause,[],[f37179,f68636])).
% 26.16/5.01 tff(f68636,plain,(
% 26.16/5.01 spl4009_322 <=> strict7427464778891057005id_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_322])])).
% 26.16/5.01 tff(f37179,plain,(
% 26.16/5.01 strict7427464778891057005id_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9367])).
% 26.16/5.01 tff(f9367,axiom,(
% 26.16/5.01 strict7427464778891057005id_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ostrict__ordered__comm__monoid__add_107)).
% 26.16/5.01 tff(f68634,plain,(
% 26.16/5.01 spl4009_321),
% 26.16/5.01 inference(avatar_split_clause,[],[f37178,f68631])).
% 26.16/5.01 tff(f68631,plain,(
% 26.16/5.01 spl4009_321 <=> strict9044650504122735259up_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_321])])).
% 26.16/5.01 tff(f37178,plain,(
% 26.16/5.01 strict9044650504122735259up_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9735])).
% 26.16/5.01 tff(f9735,axiom,(
% 26.16/5.01 strict9044650504122735259up_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__ab__semigroup__add_444)).
% 26.16/5.01 tff(f68629,plain,(
% 26.16/5.01 spl4009_320),
% 26.16/5.01 inference(avatar_split_clause,[],[f37177,f68626])).
% 26.16/5.01 tff(f68626,plain,(
% 26.16/5.01 spl4009_320 <=> top(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_320])])).
% 26.16/5.01 tff(f37177,plain,(
% 26.16/5.01 top(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9779])).
% 26.16/5.01 tff(f9779,axiom,(
% 26.16/5.01 top(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Otop_487)).
% 26.16/5.01 tff(f68624,plain,(
% 26.16/5.01 spl4009_319),
% 26.16/5.01 inference(avatar_split_clause,[],[f37176,f68621])).
% 26.16/5.01 tff(f68621,plain,(
% 26.16/5.01 spl4009_319 <=> strict7427464778891057005id_add(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_319])])).
% 26.16/5.01 tff(f37176,plain,(
% 26.16/5.01 strict7427464778891057005id_add(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9736])).
% 26.16/5.01 tff(f9736,axiom,(
% 26.16/5.01 strict7427464778891057005id_add(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ostrict__ordered__comm__monoid__add_445)).
% 26.16/5.01 tff(f68619,plain,(
% 26.16/5.01 spl4009_318),
% 26.16/5.01 inference(avatar_split_clause,[],[f37175,f68616])).
% 26.16/5.01 tff(f68616,plain,(
% 26.16/5.01 spl4009_318 <=> bounded_lattice_bot(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_318])])).
% 26.16/5.01 tff(f37175,plain,(
% 26.16/5.01 bounded_lattice_bot(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9747])).
% 26.16/5.01 tff(f9747,axiom,(
% 26.16/5.01 bounded_lattice_bot(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Lattices_Obounded__lattice__bot_455)).
% 26.16/5.01 tff(f68614,plain,(
% 26.16/5.01 spl4009_317),
% 26.16/5.01 inference(avatar_split_clause,[],[f37174,f68611])).
% 26.16/5.01 tff(f68611,plain,(
% 26.16/5.01 spl4009_317 <=> bounded_lattice_bot(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_317])])).
% 26.16/5.01 tff(f37174,plain,(
% 26.16/5.01 bounded_lattice_bot(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9803])).
% 26.16/5.01 tff(f9803,axiom,(
% 26.16/5.01 bounded_lattice_bot(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Lattices_Obounded__lattice__bot_511)).
% 26.16/5.01 tff(f68609,plain,(
% 26.16/5.01 spl4009_316),
% 26.16/5.01 inference(avatar_split_clause,[],[f37173,f68606])).
% 26.16/5.01 tff(f68606,plain,(
% 26.16/5.01 spl4009_316 <=> top(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_316])])).
% 26.16/5.01 tff(f37173,plain,(
% 26.16/5.01 top(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9817])).
% 26.16/5.01 tff(f9817,axiom,(
% 26.16/5.01 top(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Otop_525)).
% 26.16/5.01 tff(f68604,plain,(
% 26.16/5.01 spl4009_315),
% 26.16/5.01 inference(avatar_split_clause,[],[f37172,f68601])).
% 26.16/5.01 tff(f68601,plain,(
% 26.16/5.01 spl4009_315 <=> ordere2520102378445227354miring(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_315])])).
% 26.16/5.01 tff(f37172,plain,(
% 26.16/5.01 ordere2520102378445227354miring(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9304])).
% 26.16/5.01 tff(f9304,axiom,(
% 26.16/5.01 ordere2520102378445227354miring(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__comm__semiring_47)).
% 26.16/5.01 tff(f68599,plain,(
% 26.16/5.01 spl4009_314),
% 26.16/5.01 inference(avatar_split_clause,[],[f37171,f68596])).
% 26.16/5.01 tff(f68596,plain,(
% 26.16/5.01 spl4009_314 <=> semiring_1_cancel(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_314])])).
% 26.16/5.01 tff(f37171,plain,(
% 26.16/5.01 semiring_1_cancel(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9313])).
% 26.16/5.01 tff(f9313,axiom,(
% 26.16/5.01 semiring_1_cancel(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__1__cancel_56)).
% 26.16/5.01 tff(f68594,plain,(
% 26.16/5.01 spl4009_313),
% 26.16/5.01 inference(avatar_split_clause,[],[f37170,f68591])).
% 26.16/5.01 tff(f68591,plain,(
% 26.16/5.01 spl4009_313 <=> zero_less_one(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_313])])).
% 26.16/5.01 tff(f37170,plain,(
% 26.16/5.01 zero_less_one(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9329])).
% 26.16/5.01 tff(f9329,axiom,(
% 26.16/5.01 zero_less_one(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ozero__less__one_71)).
% 26.16/5.01 tff(f68589,plain,(
% 26.16/5.01 spl4009_312),
% 26.16/5.01 inference(avatar_split_clause,[],[f37169,f68586])).
% 26.16/5.01 tff(f68586,plain,(
% 26.16/5.01 spl4009_312 <=> ordere2520102378445227354miring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_312])])).
% 26.16/5.01 tff(f37169,plain,(
% 26.16/5.01 ordere2520102378445227354miring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9561])).
% 26.16/5.01 tff(f9561,axiom,(
% 26.16/5.01 ordere2520102378445227354miring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__comm__semiring_272)).
% 26.16/5.01 tff(f68584,plain,(
% 26.16/5.01 spl4009_311),
% 26.16/5.01 inference(avatar_split_clause,[],[f37168,f68581])).
% 26.16/5.01 tff(f68581,plain,(
% 26.16/5.01 spl4009_311 <=> semiring_1_cancel(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_311])])).
% 26.16/5.01 tff(f37168,plain,(
% 26.16/5.01 semiring_1_cancel(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9574])).
% 26.16/5.01 tff(f9574,axiom,(
% 26.16/5.01 semiring_1_cancel(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Osemiring__1__cancel_284)).
% 26.16/5.01 tff(f68579,plain,(
% 26.16/5.01 spl4009_310),
% 26.16/5.01 inference(avatar_split_clause,[],[f37167,f68576])).
% 26.16/5.01 tff(f68576,plain,(
% 26.16/5.01 spl4009_310 <=> zero_less_one(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_310])])).
% 26.16/5.01 tff(f37167,plain,(
% 26.16/5.01 zero_less_one(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9591])).
% 26.16/5.01 tff(f9591,axiom,(
% 26.16/5.01 zero_less_one(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ozero__less__one_301)).
% 26.16/5.01 tff(f68574,plain,(
% 26.16/5.01 spl4009_309),
% 26.16/5.01 inference(avatar_split_clause,[],[f37166,f68571])).
% 26.16/5.01 tff(f68571,plain,(
% 26.16/5.01 spl4009_309 <=> ordere2520102378445227354miring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_309])])).
% 26.16/5.01 tff(f37166,plain,(
% 26.16/5.01 ordere2520102378445227354miring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9200])).
% 26.16/5.01 tff(f9200,axiom,(
% 26.16/5.01 ordere2520102378445227354miring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__comm__semiring)).
% 26.16/5.01 tff(f68569,plain,(
% 26.16/5.01 spl4009_308),
% 26.16/5.01 inference(avatar_split_clause,[],[f37165,f68566])).
% 26.16/5.01 tff(f68566,plain,(
% 26.16/5.01 spl4009_308 <=> semiring_1_cancel(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_308])])).
% 26.16/5.01 tff(f37165,plain,(
% 26.16/5.01 semiring_1_cancel(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9211])).
% 26.16/5.01 tff(f9211,axiom,(
% 26.16/5.01 semiring_1_cancel(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__1__cancel)).
% 26.16/5.01 tff(f68564,plain,(
% 26.16/5.01 spl4009_307),
% 26.16/5.01 inference(avatar_split_clause,[],[f37164,f68561])).
% 26.16/5.01 tff(f68561,plain,(
% 26.16/5.01 spl4009_307 <=> zero_less_one(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_307])])).
% 26.16/5.01 tff(f37164,plain,(
% 26.16/5.01 zero_less_one(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9229])).
% 26.16/5.01 tff(f9229,axiom,(
% 26.16/5.01 zero_less_one(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ozero__less__one)).
% 26.16/5.01 tff(f68559,plain,(
% 26.16/5.01 spl4009_306),
% 26.16/5.01 inference(avatar_split_clause,[],[f37163,f68556])).
% 26.16/5.01 tff(f68556,plain,(
% 26.16/5.01 spl4009_306 <=> ordere2520102378445227354miring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_306])])).
% 26.16/5.01 tff(f37163,plain,(
% 26.16/5.01 ordere2520102378445227354miring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9854])).
% 26.16/5.01 tff(f9854,axiom,(
% 26.16/5.01 ordere2520102378445227354miring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__comm__semiring_562)).
% 26.16/5.01 tff(f68554,plain,(
% 26.16/5.01 spl4009_305),
% 26.16/5.01 inference(avatar_split_clause,[],[f37162,f68551])).
% 26.16/5.01 tff(f68551,plain,(
% 26.16/5.01 spl4009_305 <=> semiring_1_cancel(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_305])])).
% 26.16/5.01 tff(f37162,plain,(
% 26.16/5.01 semiring_1_cancel(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9862])).
% 26.16/5.01 tff(f9862,axiom,(
% 26.16/5.01 semiring_1_cancel(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__1__cancel_570)).
% 26.16/5.01 tff(f68549,plain,(
% 26.16/5.01 spl4009_304),
% 26.16/5.01 inference(avatar_split_clause,[],[f37161,f68546])).
% 26.16/5.01 tff(f68546,plain,(
% 26.16/5.01 spl4009_304 <=> zero_less_one(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_304])])).
% 26.16/5.01 tff(f37161,plain,(
% 26.16/5.01 zero_less_one(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9880])).
% 26.16/5.01 tff(f9880,axiom,(
% 26.16/5.01 zero_less_one(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ozero__less__one_588)).
% 26.16/5.01 tff(f68544,plain,(
% 26.16/5.01 spl4009_303),
% 26.16/5.01 inference(avatar_split_clause,[],[f37160,f68541])).
% 26.16/5.01 tff(f68541,plain,(
% 26.16/5.01 spl4009_303 <=> ordere2520102378445227354miring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_303])])).
% 26.16/5.01 tff(f37160,plain,(
% 26.16/5.01 ordere2520102378445227354miring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9387])).
% 26.16/5.01 tff(f9387,axiom,(
% 26.16/5.01 ordere2520102378445227354miring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__comm__semiring_124)).
% 26.16/5.01 tff(f68539,plain,(
% 26.16/5.01 spl4009_302),
% 26.16/5.01 inference(avatar_split_clause,[],[f37159,f68536])).
% 26.16/5.01 tff(f68536,plain,(
% 26.16/5.01 spl4009_302 <=> semiring_1_cancel(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_302])])).
% 26.16/5.01 tff(f37159,plain,(
% 26.16/5.01 semiring_1_cancel(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9399])).
% 26.16/5.01 tff(f9399,axiom,(
% 26.16/5.01 semiring_1_cancel(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Osemiring__1__cancel_135)).
% 26.16/5.01 tff(f68534,plain,(
% 26.16/5.01 spl4009_301),
% 26.16/5.01 inference(avatar_split_clause,[],[f37158,f68531])).
% 26.16/5.01 tff(f68531,plain,(
% 26.16/5.01 spl4009_301 <=> zero_less_one(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_301])])).
% 26.16/5.01 tff(f37158,plain,(
% 26.16/5.01 zero_less_one(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9416])).
% 26.16/5.01 tff(f9416,axiom,(
% 26.16/5.01 zero_less_one(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ozero__less__one_149)).
% 26.16/5.01 tff(f68529,plain,(
% 26.16/5.01 spl4009_300),
% 26.16/5.01 inference(avatar_split_clause,[],[f37157,f68526])).
% 26.16/5.01 tff(f68526,plain,(
% 26.16/5.01 spl4009_300 <=> semiring_1_cancel(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_300])])).
% 26.16/5.01 tff(f37157,plain,(
% 26.16/5.01 semiring_1_cancel(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9693])).
% 26.16/5.01 tff(f9693,axiom,(
% 26.16/5.01 semiring_1_cancel(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Osemiring__1__cancel_402)).
% 26.16/5.01 tff(f68524,plain,(
% 26.16/5.01 spl4009_299),
% 26.16/5.01 inference(avatar_split_clause,[],[f37156,f68521])).
% 26.16/5.01 tff(f68521,plain,(
% 26.16/5.01 spl4009_299 <=> ordere2520102378445227354miring(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_299])])).
% 26.16/5.01 tff(f37156,plain,(
% 26.16/5.01 ordere2520102378445227354miring(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9748])).
% 26.16/5.01 tff(f9748,axiom,(
% 26.16/5.01 ordere2520102378445227354miring(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Oordered__comm__semiring_456)).
% 26.16/5.01 tff(f68519,plain,(
% 26.16/5.01 spl4009_298),
% 26.16/5.01 inference(avatar_split_clause,[],[f37155,f68516])).
% 26.16/5.01 tff(f68516,plain,(
% 26.16/5.01 spl4009_298 <=> zero_less_one(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_298])])).
% 26.16/5.01 tff(f37155,plain,(
% 26.16/5.01 zero_less_one(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9764])).
% 26.16/5.01 tff(f9764,axiom,(
% 26.16/5.01 zero_less_one(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Rings_Ozero__less__one_472)).
% 26.16/5.01 tff(f68514,plain,(
% 26.16/5.01 spl4009_297),
% 26.16/5.01 inference(avatar_split_clause,[],[f37154,f68511])).
% 26.16/5.01 tff(f68511,plain,(
% 26.16/5.01 spl4009_297 <=> linordered_semidom(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_297])])).
% 26.16/5.01 tff(f37154,plain,(
% 26.16/5.01 linordered_semidom(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9308])).
% 26.16/5.01 tff(f9308,axiom,(
% 26.16/5.01 linordered_semidom(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semidom_51)).
% 26.16/5.01 tff(f68509,plain,(
% 26.16/5.01 spl4009_296),
% 26.16/5.01 inference(avatar_split_clause,[],[f37153,f68506])).
% 26.16/5.01 tff(f68506,plain,(
% 26.16/5.01 spl4009_296 <=> linordered_semidom(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_296])])).
% 26.16/5.01 tff(f37153,plain,(
% 26.16/5.01 linordered_semidom(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9568])).
% 26.16/5.01 tff(f9568,axiom,(
% 26.16/5.01 linordered_semidom(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semidom_278)).
% 26.16/5.01 tff(f68504,plain,(
% 26.16/5.01 spl4009_295),
% 26.16/5.01 inference(avatar_split_clause,[],[f37152,f68501])).
% 26.16/5.01 tff(f68501,plain,(
% 26.16/5.01 spl4009_295 <=> linordered_semidom(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_295])])).
% 26.16/5.01 tff(f37152,plain,(
% 26.16/5.01 linordered_semidom(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9206])).
% 26.16/5.01 tff(f9206,axiom,(
% 26.16/5.01 linordered_semidom(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semidom)).
% 26.16/5.01 tff(f68499,plain,(
% 26.16/5.01 spl4009_294),
% 26.16/5.01 inference(avatar_split_clause,[],[f37151,f68496])).
% 26.16/5.01 tff(f68496,plain,(
% 26.16/5.01 spl4009_294 <=> linordered_semidom(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_294])])).
% 26.16/5.01 tff(f37151,plain,(
% 26.16/5.01 linordered_semidom(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9860])).
% 26.16/5.01 tff(f9860,axiom,(
% 26.16/5.01 linordered_semidom(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semidom_568)).
% 26.16/5.01 tff(f68494,plain,(
% 26.16/5.01 spl4009_293),
% 26.16/5.01 inference(avatar_split_clause,[],[f37150,f68491])).
% 26.16/5.01 tff(f68491,plain,(
% 26.16/5.01 spl4009_293 <=> linordered_semidom(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_293])])).
% 26.16/5.01 tff(f37150,plain,(
% 26.16/5.01 linordered_semidom(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9393])).
% 26.16/5.01 tff(f9393,axiom,(
% 26.16/5.01 linordered_semidom(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semidom_130)).
% 26.16/5.01 tff(f68489,plain,(
% 26.16/5.01 spl4009_292),
% 26.16/5.01 inference(avatar_split_clause,[],[f37149,f68486])).
% 26.16/5.01 tff(f68486,plain,(
% 26.16/5.01 spl4009_292 <=> ring_1(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_292])])).
% 26.16/5.01 tff(f37149,plain,(
% 26.16/5.01 ring_1(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9617])).
% 26.16/5.01 tff(f9617,axiom,(
% 26.16/5.01 ring_1(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1_326)).
% 26.16/5.01 tff(f68484,plain,(
% 26.16/5.01 spl4009_291),
% 26.16/5.01 inference(avatar_split_clause,[],[f37148,f68481])).
% 26.16/5.01 tff(f68481,plain,(
% 26.16/5.01 spl4009_291 <=> ring_1(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_291])])).
% 26.16/5.01 tff(f37148,plain,(
% 26.16/5.01 ring_1(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9255])).
% 26.16/5.01 tff(f9255,axiom,(
% 26.16/5.01 ring_1(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1)).
% 26.16/5.01 tff(f68479,plain,(
% 26.16/5.01 spl4009_290),
% 26.16/5.01 inference(avatar_split_clause,[],[f37147,f68476])).
% 26.16/5.01 tff(f68476,plain,(
% 26.16/5.01 spl4009_290 <=> ring_1(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_290])])).
% 26.16/5.01 tff(f37147,plain,(
% 26.16/5.01 ring_1(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9901])).
% 26.16/5.01 tff(f9901,axiom,(
% 26.16/5.01 ring_1(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1_609)).
% 26.16/5.01 tff(f68474,plain,(
% 26.16/5.01 spl4009_289),
% 26.16/5.01 inference(avatar_split_clause,[],[f37146,f68471])).
% 26.16/5.01 tff(f68471,plain,(
% 26.16/5.01 spl4009_289 <=> ring_1(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_289])])).
% 26.16/5.01 tff(f37146,plain,(
% 26.16/5.01 ring_1(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9441])).
% 26.16/5.01 tff(f9441,axiom,(
% 26.16/5.01 ring_1(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1_172)).
% 26.16/5.01 tff(f68469,plain,(
% 26.16/5.01 spl4009_288),
% 26.16/5.01 inference(avatar_split_clause,[],[f37145,f68466])).
% 26.16/5.01 tff(f68466,plain,(
% 26.16/5.01 spl4009_288 <=> ring_1(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_288])])).
% 26.16/5.01 tff(f37145,plain,(
% 26.16/5.01 ring_1(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9720])).
% 26.16/5.01 tff(f9720,axiom,(
% 26.16/5.01 ring_1(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1_429)).
% 26.16/5.01 tff(f68464,plain,(
% 26.16/5.01 spl4009_287),
% 26.16/5.01 inference(avatar_split_clause,[],[f37144,f68461])).
% 26.16/5.01 tff(f68461,plain,(
% 26.16/5.01 spl4009_287 <=> neg_numeral(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_287])])).
% 26.16/5.01 tff(f37144,plain,(
% 26.16/5.01 neg_numeral(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9611])).
% 26.16/5.01 tff(f9611,axiom,(
% 26.16/5.01 neg_numeral(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Num_Oneg__numeral_320)).
% 26.16/5.01 tff(f68459,plain,(
% 26.16/5.01 spl4009_286),
% 26.16/5.01 inference(avatar_split_clause,[],[f37143,f68456])).
% 26.16/5.01 tff(f68456,plain,(
% 26.16/5.01 spl4009_286 <=> neg_numeral(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_286])])).
% 26.16/5.01 tff(f37143,plain,(
% 26.16/5.01 neg_numeral(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9250])).
% 26.16/5.01 tff(f9250,axiom,(
% 26.16/5.01 neg_numeral(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Num_Oneg__numeral)).
% 26.16/5.01 tff(f68454,plain,(
% 26.16/5.01 spl4009_285),
% 26.16/5.01 inference(avatar_split_clause,[],[f37142,f68451])).
% 26.16/5.01 tff(f68451,plain,(
% 26.16/5.01 spl4009_285 <=> neg_numeral(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_285])])).
% 26.16/5.01 tff(f37142,plain,(
% 26.16/5.01 neg_numeral(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9896])).
% 26.16/5.01 tff(f9896,axiom,(
% 26.16/5.01 neg_numeral(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Num_Oneg__numeral_604)).
% 26.16/5.01 tff(f68449,plain,(
% 26.16/5.01 spl4009_284),
% 26.16/5.01 inference(avatar_split_clause,[],[f37141,f68446])).
% 26.16/5.01 tff(f68446,plain,(
% 26.16/5.01 spl4009_284 <=> neg_numeral(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_284])])).
% 26.16/5.01 tff(f37141,plain,(
% 26.16/5.01 neg_numeral(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9435])).
% 26.16/5.01 tff(f9435,axiom,(
% 26.16/5.01 neg_numeral(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Num_Oneg__numeral_167)).
% 26.16/5.01 tff(f68444,plain,(
% 26.16/5.01 spl4009_283),
% 26.16/5.01 inference(avatar_split_clause,[],[f37140,f68441])).
% 26.16/5.01 tff(f68441,plain,(
% 26.16/5.01 spl4009_283 <=> neg_numeral(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_283])])).
% 26.16/5.01 tff(f37140,plain,(
% 26.16/5.01 neg_numeral(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9715])).
% 26.16/5.01 tff(f9715,axiom,(
% 26.16/5.01 neg_numeral(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Num_Oneg__numeral_424)).
% 26.16/5.01 tff(f68439,plain,(
% 26.16/5.01 spl4009_282),
% 26.16/5.01 inference(avatar_split_clause,[],[f37139,f68436])).
% 26.16/5.01 tff(f68436,plain,(
% 26.16/5.01 spl4009_282 <=> group_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_282])])).
% 26.16/5.01 tff(f37139,plain,(
% 26.16/5.01 group_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9608])).
% 26.16/5.01 tff(f9608,axiom,(
% 26.16/5.01 group_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Ogroup__add_317)).
% 26.16/5.01 tff(f68434,plain,(
% 26.16/5.01 spl4009_281),
% 26.16/5.01 inference(avatar_split_clause,[],[f37138,f68431])).
% 26.16/5.01 tff(f68431,plain,(
% 26.16/5.01 spl4009_281 <=> group_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_281])])).
% 26.16/5.01 tff(f37138,plain,(
% 26.16/5.01 group_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9245])).
% 26.16/5.01 tff(f9245,axiom,(
% 26.16/5.01 group_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Ogroup__add)).
% 26.16/5.01 tff(f68429,plain,(
% 26.16/5.01 spl4009_280),
% 26.16/5.01 inference(avatar_split_clause,[],[f37137,f68426])).
% 26.16/5.01 tff(f68426,plain,(
% 26.16/5.01 spl4009_280 <=> group_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_280])])).
% 26.16/5.01 tff(f37137,plain,(
% 26.16/5.01 group_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9893])).
% 26.16/5.01 tff(f9893,axiom,(
% 26.16/5.01 group_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Ogroup__add_601)).
% 26.16/5.01 tff(f68424,plain,(
% 26.16/5.01 spl4009_279),
% 26.16/5.01 inference(avatar_split_clause,[],[f37136,f68421])).
% 26.16/5.01 tff(f68421,plain,(
% 26.16/5.01 spl4009_279 <=> group_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_279])])).
% 26.16/5.01 tff(f37136,plain,(
% 26.16/5.01 group_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9432])).
% 26.16/5.01 tff(f9432,axiom,(
% 26.16/5.01 group_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Ogroup__add_164)).
% 26.16/5.01 tff(f68419,plain,(
% 26.16/5.01 spl4009_278),
% 26.16/5.01 inference(avatar_split_clause,[],[f37135,f68416])).
% 26.16/5.01 tff(f68416,plain,(
% 26.16/5.01 spl4009_278 <=> group_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_278])])).
% 26.16/5.01 tff(f37135,plain,(
% 26.16/5.01 group_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9713])).
% 26.16/5.01 tff(f9713,axiom,(
% 26.16/5.01 group_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Ogroup__add_422)).
% 26.16/5.01 tff(f68414,plain,(
% 26.16/5.01 spl4009_277),
% 26.16/5.01 inference(avatar_split_clause,[],[f37134,f68411])).
% 26.16/5.01 tff(f68411,plain,(
% 26.16/5.01 spl4009_277 <=> ab_group_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_277])])).
% 26.16/5.01 tff(f37134,plain,(
% 26.16/5.01 ab_group_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9594])).
% 26.16/5.01 tff(f9594,axiom,(
% 26.16/5.01 ab_group_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oab__group__add_304)).
% 26.16/5.01 tff(f68409,plain,(
% 26.16/5.01 spl4009_276),
% 26.16/5.01 inference(avatar_split_clause,[],[f37133,f68406])).
% 26.16/5.01 tff(f68406,plain,(
% 26.16/5.01 spl4009_276 <=> ab_group_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_276])])).
% 26.16/5.01 tff(f37133,plain,(
% 26.16/5.01 ab_group_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9232])).
% 26.16/5.01 tff(f9232,axiom,(
% 26.16/5.01 ab_group_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oab__group__add)).
% 26.16/5.01 tff(f68404,plain,(
% 26.16/5.01 spl4009_275),
% 26.16/5.01 inference(avatar_split_clause,[],[f37132,f68401])).
% 26.16/5.01 tff(f68401,plain,(
% 26.16/5.01 spl4009_275 <=> ab_group_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_275])])).
% 26.16/5.01 tff(f37132,plain,(
% 26.16/5.01 ab_group_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9883])).
% 26.16/5.01 tff(f9883,axiom,(
% 26.16/5.01 ab_group_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oab__group__add_591)).
% 26.16/5.01 tff(f68399,plain,(
% 26.16/5.01 spl4009_274),
% 26.16/5.01 inference(avatar_split_clause,[],[f37131,f68396])).
% 26.16/5.01 tff(f68396,plain,(
% 26.16/5.01 spl4009_274 <=> ab_group_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_274])])).
% 26.16/5.01 tff(f37131,plain,(
% 26.16/5.01 ab_group_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9419])).
% 26.16/5.01 tff(f9419,axiom,(
% 26.16/5.01 ab_group_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oab__group__add_152)).
% 26.16/5.01 tff(f68394,plain,(
% 26.16/5.01 spl4009_273),
% 26.16/5.01 inference(avatar_split_clause,[],[f37130,f68391])).
% 26.16/5.01 tff(f68391,plain,(
% 26.16/5.01 spl4009_273 <=> ab_group_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_273])])).
% 26.16/5.01 tff(f37130,plain,(
% 26.16/5.01 ab_group_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9706])).
% 26.16/5.01 tff(f9706,axiom,(
% 26.16/5.01 ab_group_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Groups_Oab__group__add_415)).
% 26.16/5.01 tff(f68389,plain,(
% 26.16/5.01 spl4009_272),
% 26.16/5.01 inference(avatar_split_clause,[],[f37129,f68386])).
% 26.16/5.01 tff(f68386,plain,(
% 26.16/5.01 spl4009_272 <=> condit6923001295902523014norder(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_272])])).
% 26.16/5.01 tff(f37129,plain,(
% 26.16/5.01 condit6923001295902523014norder(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9265])).
% 26.16/5.01 tff(f9265,axiom,(
% 26.16/5.01 condit6923001295902523014norder(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_10)).
% 26.16/5.01 tff(f68384,plain,(
% 26.16/5.01 spl4009_271),
% 26.16/5.01 inference(avatar_split_clause,[],[f37128,f68381])).
% 26.16/5.01 tff(f68381,plain,(
% 26.16/5.01 spl4009_271 <=> condit6923001295902523014norder(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_271])])).
% 26.16/5.01 tff(f37128,plain,(
% 26.16/5.01 condit6923001295902523014norder(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9507])).
% 26.16/5.01 tff(f9507,axiom,(
% 26.16/5.01 condit6923001295902523014norder(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_237)).
% 26.16/5.01 tff(f68379,plain,(
% 26.16/5.01 spl4009_270),
% 26.16/5.01 inference(avatar_split_clause,[],[f37127,f68376])).
% 26.16/5.01 tff(f68376,plain,(
% 26.16/5.01 spl4009_270 <=> condit6923001295902523014norder(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_270])])).
% 26.16/5.01 tff(f37127,plain,(
% 26.16/5.01 condit6923001295902523014norder(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9155])).
% 26.16/5.01 tff(f9155,axiom,(
% 26.16/5.01 condit6923001295902523014norder(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Conditionally__Complete__Lattices_Oconditionally__complete__linorder)).
% 26.16/5.01 tff(f68374,plain,(
% 26.16/5.01 spl4009_269),
% 26.16/5.01 inference(avatar_split_clause,[],[f37126,f68371])).
% 26.16/5.01 tff(f68371,plain,(
% 26.16/5.01 spl4009_269 <=> condit6923001295902523014norder(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_269])])).
% 26.16/5.01 tff(f37126,plain,(
% 26.16/5.01 condit6923001295902523014norder(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9730])).
% 26.16/5.01 tff(f9730,axiom,(
% 26.16/5.01 condit6923001295902523014norder(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_439)).
% 26.16/5.01 tff(f68369,plain,(
% 26.16/5.01 spl4009_268),
% 26.16/5.01 inference(avatar_split_clause,[],[f37125,f68366])).
% 26.16/5.01 tff(f68366,plain,(
% 26.16/5.01 spl4009_268 <=> condit6923001295902523014norder(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_268])])).
% 26.16/5.01 tff(f37125,plain,(
% 26.16/5.01 condit6923001295902523014norder(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9793])).
% 26.16/5.01 tff(f9793,axiom,(
% 26.16/5.01 condit6923001295902523014norder(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Conditionally__Complete__Lattices_Oconditionally__complete__linorder_501)).
% 26.16/5.01 tff(f68364,plain,(
% 26.16/5.01 spl4009_267),
% 26.16/5.01 inference(avatar_split_clause,[],[f37124,f68361])).
% 26.16/5.01 tff(f68361,plain,(
% 26.16/5.01 spl4009_267 <=> idom(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_267])])).
% 26.16/5.01 tff(f37124,plain,(
% 26.16/5.01 idom(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9624])).
% 26.16/5.01 tff(f9624,axiom,(
% 26.16/5.01 idom(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oidom_333)).
% 26.16/5.01 tff(f68359,plain,(
% 26.16/5.01 spl4009_266),
% 26.16/5.01 inference(avatar_split_clause,[],[f37123,f68356])).
% 26.16/5.01 tff(f68356,plain,(
% 26.16/5.01 spl4009_266 <=> idom(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_266])])).
% 26.16/5.01 tff(f37123,plain,(
% 26.16/5.01 idom(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9262])).
% 26.16/5.01 tff(f9262,axiom,(
% 26.16/5.01 idom(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oidom)).
% 26.16/5.01 tff(f68354,plain,(
% 26.16/5.01 spl4009_265),
% 26.16/5.01 inference(avatar_split_clause,[],[f37122,f68351])).
% 26.16/5.01 tff(f68351,plain,(
% 26.16/5.01 spl4009_265 <=> idom(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_265])])).
% 26.16/5.01 tff(f37122,plain,(
% 26.16/5.01 idom(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9907])).
% 26.16/5.01 tff(f9907,axiom,(
% 26.16/5.01 idom(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oidom_615)).
% 26.16/5.01 tff(f68349,plain,(
% 26.16/5.01 spl4009_264),
% 26.16/5.01 inference(avatar_split_clause,[],[f37121,f68346])).
% 26.16/5.01 tff(f68346,plain,(
% 26.16/5.01 spl4009_264 <=> idom(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_264])])).
% 26.16/5.01 tff(f37121,plain,(
% 26.16/5.01 idom(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9448])).
% 26.16/5.01 tff(f9448,axiom,(
% 26.16/5.01 idom(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oidom_178)).
% 26.16/5.01 tff(f68344,plain,(
% 26.16/5.01 spl4009_263),
% 26.16/5.01 inference(avatar_split_clause,[],[f37120,f68341])).
% 26.16/5.01 tff(f68341,plain,(
% 26.16/5.01 spl4009_263 <=> idom(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_263])])).
% 26.16/5.01 tff(f37120,plain,(
% 26.16/5.01 idom(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9727])).
% 26.16/5.01 tff(f9727,axiom,(
% 26.16/5.01 idom(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oidom_436)).
% 26.16/5.01 tff(f68339,plain,(
% 26.16/5.01 spl4009_262),
% 26.16/5.01 inference(avatar_split_clause,[],[f37119,f68336])).
% 26.16/5.01 tff(f68336,plain,(
% 26.16/5.01 spl4009_262 <=> comm_ring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_262])])).
% 26.16/5.01 tff(f37119,plain,(
% 26.16/5.01 comm_ring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9609])).
% 26.16/5.01 tff(f9609,axiom,(
% 26.16/5.01 comm_ring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring_318)).
% 26.16/5.01 tff(f68334,plain,(
% 26.16/5.01 spl4009_261),
% 26.16/5.01 inference(avatar_split_clause,[],[f37118,f68331])).
% 26.16/5.01 tff(f68331,plain,(
% 26.16/5.01 spl4009_261 <=> comm_ring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_261])])).
% 26.16/5.01 tff(f37118,plain,(
% 26.16/5.01 comm_ring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9248])).
% 26.16/5.01 tff(f9248,axiom,(
% 26.16/5.01 comm_ring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring)).
% 26.16/5.01 tff(f68329,plain,(
% 26.16/5.01 spl4009_260),
% 26.16/5.01 inference(avatar_split_clause,[],[f37117,f68326])).
% 26.16/5.01 tff(f68326,plain,(
% 26.16/5.01 spl4009_260 <=> comm_ring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_260])])).
% 26.16/5.01 tff(f37117,plain,(
% 26.16/5.01 comm_ring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9894])).
% 26.16/5.01 tff(f9894,axiom,(
% 26.16/5.01 comm_ring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring_602)).
% 26.16/5.01 tff(f68324,plain,(
% 26.16/5.01 spl4009_259),
% 26.16/5.01 inference(avatar_split_clause,[],[f37116,f68321])).
% 26.16/5.01 tff(f68321,plain,(
% 26.16/5.01 spl4009_259 <=> comm_ring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_259])])).
% 26.16/5.01 tff(f37116,plain,(
% 26.16/5.01 comm_ring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9433])).
% 26.16/5.01 tff(f9433,axiom,(
% 26.16/5.01 comm_ring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring_165)).
% 26.16/5.01 tff(f68319,plain,(
% 26.16/5.01 spl4009_258),
% 26.16/5.01 inference(avatar_split_clause,[],[f37115,f68316])).
% 26.16/5.01 tff(f68316,plain,(
% 26.16/5.01 spl4009_258 <=> comm_ring(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_258])])).
% 26.16/5.01 tff(f37115,plain,(
% 26.16/5.01 comm_ring(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9714])).
% 26.16/5.01 tff(f9714,axiom,(
% 26.16/5.01 comm_ring(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring_423)).
% 26.16/5.01 tff(f68314,plain,(
% 26.16/5.01 spl4009_257),
% 26.16/5.01 inference(avatar_split_clause,[],[f37114,f68311])).
% 26.16/5.01 tff(f68311,plain,(
% 26.16/5.01 spl4009_257 <=> comm_ring_1(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_257])])).
% 26.16/5.01 tff(f37114,plain,(
% 26.16/5.01 comm_ring_1(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9601])).
% 26.16/5.01 tff(f9601,axiom,(
% 26.16/5.01 comm_ring_1(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring__1_310)).
% 26.16/5.01 tff(f68309,plain,(
% 26.16/5.01 spl4009_256),
% 26.16/5.01 inference(avatar_split_clause,[],[f37113,f68306])).
% 26.16/5.01 tff(f68306,plain,(
% 26.16/5.01 spl4009_256 <=> comm_ring_1(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_256])])).
% 26.16/5.01 tff(f37113,plain,(
% 26.16/5.01 comm_ring_1(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9238])).
% 26.16/5.01 tff(f9238,axiom,(
% 26.16/5.01 comm_ring_1(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Ocomm__ring__1)).
% 26.16/5.01 tff(f68304,plain,(
% 26.16/5.01 spl4009_255),
% 26.16/5.01 inference(avatar_split_clause,[],[f37112,f68301])).
% 26.16/5.01 tff(f68301,plain,(
% 26.16/5.01 spl4009_255 <=> comm_ring_1(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_255])])).
% 26.16/5.01 tff(f37112,plain,(
% 26.16/5.01 comm_ring_1(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9889])).
% 26.16/5.01 tff(f9889,axiom,(
% 26.16/5.01 comm_ring_1(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Ocomm__ring__1_597)).
% 26.16/5.01 tff(f68299,plain,(
% 26.16/5.01 spl4009_254),
% 26.16/5.01 inference(avatar_split_clause,[],[f37111,f68296])).
% 26.16/5.01 tff(f68296,plain,(
% 26.16/5.01 spl4009_254 <=> comm_ring_1(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_254])])).
% 26.16/5.01 tff(f37111,plain,(
% 26.16/5.01 comm_ring_1(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9425])).
% 26.16/5.01 tff(f9425,axiom,(
% 26.16/5.01 comm_ring_1(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Ocomm__ring__1_157)).
% 26.16/5.01 tff(f68294,plain,(
% 26.16/5.01 spl4009_253),
% 26.16/5.01 inference(avatar_split_clause,[],[f37110,f68291])).
% 26.16/5.01 tff(f68291,plain,(
% 26.16/5.01 spl4009_253 <=> comm_ring_1(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_253])])).
% 26.16/5.01 tff(f37110,plain,(
% 26.16/5.01 comm_ring_1(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9709])).
% 26.16/5.01 tff(f9709,axiom,(
% 26.16/5.01 comm_ring_1(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Ocomm__ring__1_418)).
% 26.16/5.01 tff(f68289,plain,(
% 26.16/5.01 spl4009_252),
% 26.16/5.01 inference(avatar_split_clause,[],[f37109,f68286])).
% 26.16/5.01 tff(f68286,plain,(
% 26.16/5.01 spl4009_252 <=> ring_char_0(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_252])])).
% 26.16/5.01 tff(f37109,plain,(
% 26.16/5.01 ring_char_0(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9612])).
% 26.16/5.01 tff(f9612,axiom,(
% 26.16/5.01 ring_char_0(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Nat_Oring__char__0_321)).
% 26.16/5.01 tff(f68284,plain,(
% 26.16/5.01 spl4009_251),
% 26.16/5.01 inference(avatar_split_clause,[],[f37108,f68281])).
% 26.16/5.01 tff(f68281,plain,(
% 26.16/5.01 spl4009_251 <=> ring_char_0(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_251])])).
% 26.16/5.01 tff(f37108,plain,(
% 26.16/5.01 ring_char_0(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9251])).
% 26.16/5.01 tff(f9251,axiom,(
% 26.16/5.01 ring_char_0(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Nat_Oring__char__0)).
% 26.16/5.01 tff(f68279,plain,(
% 26.16/5.01 spl4009_250),
% 26.16/5.01 inference(avatar_split_clause,[],[f37107,f68276])).
% 26.16/5.01 tff(f68276,plain,(
% 26.16/5.01 spl4009_250 <=> ring_char_0(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_250])])).
% 26.16/5.01 tff(f37107,plain,(
% 26.16/5.01 ring_char_0(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9897])).
% 26.16/5.01 tff(f9897,axiom,(
% 26.16/5.01 ring_char_0(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Nat_Oring__char__0_605)).
% 26.16/5.01 tff(f68274,plain,(
% 26.16/5.01 spl4009_249),
% 26.16/5.01 inference(avatar_split_clause,[],[f37106,f68271])).
% 26.16/5.01 tff(f68271,plain,(
% 26.16/5.01 spl4009_249 <=> ring_char_0(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_249])])).
% 26.16/5.01 tff(f37106,plain,(
% 26.16/5.01 ring_char_0(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9436])).
% 26.16/5.01 tff(f9436,axiom,(
% 26.16/5.01 ring_char_0(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Nat_Oring__char__0_168)).
% 26.16/5.01 tff(f68269,plain,(
% 26.16/5.01 spl4009_248),
% 26.16/5.01 inference(avatar_split_clause,[],[f37105,f68266])).
% 26.16/5.01 tff(f68266,plain,(
% 26.16/5.01 spl4009_248 <=> ring_char_0(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_248])])).
% 26.16/5.01 tff(f37105,plain,(
% 26.16/5.01 ring_char_0(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9716])).
% 26.16/5.01 tff(f9716,axiom,(
% 26.16/5.01 ring_char_0(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Nat_Oring__char__0_425)).
% 26.16/5.01 tff(f68264,plain,(
% 26.16/5.01 spl4009_247),
% 26.16/5.01 inference(avatar_split_clause,[],[f37104,f68261])).
% 26.16/5.01 tff(f68261,plain,(
% 26.16/5.01 spl4009_247 <=> ordere2412721322843649153imp_le(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_247])])).
% 26.16/5.01 tff(f37104,plain,(
% 26.16/5.01 ordere2412721322843649153imp_le(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9277])).
% 26.16/5.01 tff(f9277,axiom,(
% 26.16/5.01 ordere2412721322843649153imp_le(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le_21)).
% 26.16/5.01 tff(f68259,plain,(
% 26.16/5.01 spl4009_246),
% 26.16/5.01 inference(avatar_split_clause,[],[f37103,f68256])).
% 26.16/5.01 tff(f68256,plain,(
% 26.16/5.01 spl4009_246 <=> ordere2412721322843649153imp_le(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_246])])).
% 26.16/5.01 tff(f37103,plain,(
% 26.16/5.01 ordere2412721322843649153imp_le(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9519])).
% 26.16/5.01 tff(f9519,axiom,(
% 26.16/5.01 ordere2412721322843649153imp_le(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le_243)).
% 26.16/5.01 tff(f68254,plain,(
% 26.16/5.01 spl4009_245),
% 26.16/5.01 inference(avatar_split_clause,[],[f37102,f68251])).
% 26.16/5.01 tff(f68251,plain,(
% 26.16/5.01 spl4009_245 <=> ordere2412721322843649153imp_le(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_245])])).
% 26.16/5.01 tff(f37102,plain,(
% 26.16/5.01 ordere2412721322843649153imp_le(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9168])).
% 26.16/5.01 tff(f9168,axiom,(
% 26.16/5.01 ordere2412721322843649153imp_le(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__add__imp__le)).
% 26.16/5.01 tff(f68249,plain,(
% 26.16/5.01 spl4009_244),
% 26.16/5.01 inference(avatar_split_clause,[],[f37101,f68246])).
% 26.16/5.01 tff(f68246,plain,(
% 26.16/5.01 spl4009_244 <=> ordere2412721322843649153imp_le(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_244])])).
% 26.16/5.01 tff(f37101,plain,(
% 26.16/5.01 ordere2412721322843649153imp_le(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9832])).
% 26.16/5.01 tff(f9832,axiom,(
% 26.16/5.01 ordere2412721322843649153imp_le(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__add__imp__le_540)).
% 26.16/5.01 tff(f68244,plain,(
% 26.16/5.01 spl4009_243),
% 26.16/5.01 inference(avatar_split_clause,[],[f37100,f68241])).
% 26.16/5.01 tff(f68241,plain,(
% 26.16/5.01 spl4009_243 <=> ordere2412721322843649153imp_le(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_243])])).
% 26.16/5.01 tff(f37100,plain,(
% 26.16/5.01 ordere2412721322843649153imp_le(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9365])).
% 26.16/5.01 tff(f9365,axiom,(
% 26.16/5.01 ordere2412721322843649153imp_le(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__add__imp__le_105)).
% 26.16/5.01 tff(f68239,plain,(
% 26.16/5.01 spl4009_242),
% 26.16/5.01 inference(avatar_split_clause,[],[f37099,f68236])).
% 26.16/5.01 tff(f68236,plain,(
% 26.16/5.01 spl4009_242 <=> ordere580206878836729694up_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_242])])).
% 26.16/5.01 tff(f37099,plain,(
% 26.16/5.01 ordere580206878836729694up_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9276])).
% 26.16/5.01 tff(f9276,axiom,(
% 26.16/5.01 ordere580206878836729694up_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__ab__semigroup__add_20)).
% 26.16/5.01 tff(f68234,plain,(
% 26.16/5.01 spl4009_241),
% 26.16/5.01 inference(avatar_split_clause,[],[f37098,f68231])).
% 26.16/5.01 tff(f68231,plain,(
% 26.16/5.01 spl4009_241 <=> ordere580206878836729694up_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_241])])).
% 26.16/5.01 tff(f37098,plain,(
% 26.16/5.01 ordere580206878836729694up_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9518])).
% 26.16/5.01 tff(f9518,axiom,(
% 26.16/5.01 ordere580206878836729694up_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add_242)).
% 26.16/5.01 tff(f68229,plain,(
% 26.16/5.01 spl4009_240),
% 26.16/5.01 inference(avatar_split_clause,[],[f37097,f68226])).
% 26.16/5.01 tff(f68226,plain,(
% 26.16/5.01 spl4009_240 <=> ordere580206878836729694up_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_240])])).
% 26.16/5.01 tff(f37097,plain,(
% 26.16/5.01 ordere580206878836729694up_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9167])).
% 26.16/5.01 tff(f9167,axiom,(
% 26.16/5.01 ordere580206878836729694up_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__ab__semigroup__add)).
% 26.16/5.01 tff(f68224,plain,(
% 26.16/5.01 spl4009_239),
% 26.16/5.01 inference(avatar_split_clause,[],[f37096,f68221])).
% 26.16/5.01 tff(f68221,plain,(
% 26.16/5.01 spl4009_239 <=> ordere580206878836729694up_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_239])])).
% 26.16/5.01 tff(f37096,plain,(
% 26.16/5.01 ordere580206878836729694up_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9831])).
% 26.16/5.01 tff(f9831,axiom,(
% 26.16/5.01 ordere580206878836729694up_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__ab__semigroup__add_539)).
% 26.16/5.01 tff(f68219,plain,(
% 26.16/5.01 spl4009_238),
% 26.16/5.01 inference(avatar_split_clause,[],[f37095,f68216])).
% 26.16/5.01 tff(f68216,plain,(
% 26.16/5.01 spl4009_238 <=> ordere580206878836729694up_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_238])])).
% 26.16/5.01 tff(f37095,plain,(
% 26.16/5.01 ordere580206878836729694up_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9364])).
% 26.16/5.01 tff(f9364,axiom,(
% 26.16/5.01 ordere580206878836729694up_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__ab__semigroup__add_104)).
% 26.16/5.01 tff(f68214,plain,(
% 26.16/5.01 spl4009_237),
% 26.16/5.01 inference(avatar_split_clause,[],[f37094,f68211])).
% 26.16/5.01 tff(f68211,plain,(
% 26.16/5.01 spl4009_237 <=> ordere1937475149494474687imp_le(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_237])])).
% 26.16/5.01 tff(f37094,plain,(
% 26.16/5.01 ordere1937475149494474687imp_le(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9270])).
% 26.16/5.01 tff(f9270,axiom,(
% 26.16/5.01 ordere1937475149494474687imp_le(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_15)).
% 26.16/5.01 tff(f68209,plain,(
% 26.16/5.01 spl4009_236),
% 26.16/5.01 inference(avatar_split_clause,[],[f37093,f68206])).
% 26.16/5.01 tff(f68206,plain,(
% 26.16/5.01 spl4009_236 <=> ordere1937475149494474687imp_le(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_236])])).
% 26.16/5.01 tff(f37093,plain,(
% 26.16/5.01 ordere1937475149494474687imp_le(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9510])).
% 26.16/5.01 tff(f9510,axiom,(
% 26.16/5.01 ordere1937475149494474687imp_le(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le_240)).
% 26.16/5.01 tff(f68204,plain,(
% 26.16/5.01 spl4009_235),
% 26.16/5.01 inference(avatar_split_clause,[],[f37092,f68201])).
% 26.16/5.01 tff(f68201,plain,(
% 26.16/5.01 spl4009_235 <=> ordere1937475149494474687imp_le(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_235])])).
% 26.16/5.01 tff(f37092,plain,(
% 26.16/5.01 ordere1937475149494474687imp_le(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9161])).
% 26.16/5.01 tff(f9161,axiom,(
% 26.16/5.01 ordere1937475149494474687imp_le(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__semigroup__monoid__add__imp__le)).
% 26.16/5.01 tff(f68199,plain,(
% 26.16/5.01 spl4009_234),
% 26.16/5.01 inference(avatar_split_clause,[],[f37091,f68196])).
% 26.16/5.01 tff(f68196,plain,(
% 26.16/5.01 spl4009_234 <=> ordere1937475149494474687imp_le(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_234])])).
% 26.16/5.01 tff(f37091,plain,(
% 26.16/5.01 ordere1937475149494474687imp_le(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9825])).
% 26.16/5.01 tff(f9825,axiom,(
% 26.16/5.01 ordere1937475149494474687imp_le(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__semigroup__monoid__add__imp__le_533)).
% 26.16/5.01 tff(f68194,plain,(
% 26.16/5.01 spl4009_233),
% 26.16/5.01 inference(avatar_split_clause,[],[f37090,f68191])).
% 26.16/5.01 tff(f68191,plain,(
% 26.16/5.01 spl4009_233 <=> ordere1937475149494474687imp_le(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_233])])).
% 26.16/5.01 tff(f37090,plain,(
% 26.16/5.01 ordere1937475149494474687imp_le(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9362])).
% 26.16/5.01 tff(f9362,axiom,(
% 26.16/5.01 ordere1937475149494474687imp_le(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__semigroup__monoid__add__imp__le_102)).
% 26.16/5.01 tff(f68189,plain,(
% 26.16/5.01 spl4009_232),
% 26.16/5.01 inference(avatar_split_clause,[],[f37089,f68186])).
% 26.16/5.01 tff(f68186,plain,(
% 26.16/5.01 spl4009_232 <=> ordere8940638589300402666id_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_232])])).
% 26.16/5.01 tff(f37089,plain,(
% 26.16/5.01 ordere8940638589300402666id_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9281])).
% 26.16/5.01 tff(f9281,axiom,(
% 26.16/5.01 ordere8940638589300402666id_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__add_25)).
% 26.16/5.01 tff(f68184,plain,(
% 26.16/5.01 spl4009_231),
% 26.16/5.01 inference(avatar_split_clause,[],[f37088,f68181])).
% 26.16/5.01 tff(f68181,plain,(
% 26.16/5.01 spl4009_231 <=> ordere8940638589300402666id_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_231])])).
% 26.16/5.01 tff(f37088,plain,(
% 26.16/5.01 ordere8940638589300402666id_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9523])).
% 26.16/5.01 tff(f9523,axiom,(
% 26.16/5.01 ordere8940638589300402666id_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__cancel__comm__monoid__add_246)).
% 26.16/5.01 tff(f68179,plain,(
% 26.16/5.01 spl4009_230),
% 26.16/5.01 inference(avatar_split_clause,[],[f37087,f68176])).
% 26.16/5.01 tff(f68176,plain,(
% 26.16/5.01 spl4009_230 <=> ring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_230])])).
% 26.16/5.01 tff(f37087,plain,(
% 26.16/5.01 ring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9623])).
% 26.16/5.01 tff(f9623,axiom,(
% 26.16/5.01 ring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring_332)).
% 26.16/5.01 tff(f68174,plain,(
% 26.16/5.01 spl4009_229),
% 26.16/5.01 inference(avatar_split_clause,[],[f37086,f68171])).
% 26.16/5.01 tff(f68171,plain,(
% 26.16/5.01 spl4009_229 <=> ordere8940638589300402666id_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_229])])).
% 26.16/5.01 tff(f37086,plain,(
% 26.16/5.01 ordere8940638589300402666id_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9172])).
% 26.16/5.01 tff(f9172,axiom,(
% 26.16/5.01 ordere8940638589300402666id_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__cancel__comm__monoid__add)).
% 26.16/5.01 tff(f68169,plain,(
% 26.16/5.01 spl4009_228),
% 26.16/5.01 inference(avatar_split_clause,[],[f37085,f68166])).
% 26.16/5.01 tff(f68166,plain,(
% 26.16/5.01 spl4009_228 <=> ring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_228])])).
% 26.16/5.01 tff(f37085,plain,(
% 26.16/5.01 ring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9261])).
% 26.16/5.01 tff(f9261,axiom,(
% 26.16/5.01 ring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring)).
% 26.16/5.01 tff(f68164,plain,(
% 26.16/5.01 spl4009_227),
% 26.16/5.01 inference(avatar_split_clause,[],[f37084,f68161])).
% 26.16/5.01 tff(f68161,plain,(
% 26.16/5.01 spl4009_227 <=> ordere8940638589300402666id_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_227])])).
% 26.16/5.01 tff(f37084,plain,(
% 26.16/5.01 ordere8940638589300402666id_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9836])).
% 26.16/5.01 tff(f9836,axiom,(
% 26.16/5.01 ordere8940638589300402666id_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__cancel__comm__monoid__add_544)).
% 26.16/5.01 tff(f68159,plain,(
% 26.16/5.01 spl4009_226),
% 26.16/5.01 inference(avatar_split_clause,[],[f37083,f68156])).
% 26.16/5.01 tff(f68156,plain,(
% 26.16/5.01 spl4009_226 <=> ring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_226])])).
% 26.16/5.01 tff(f37083,plain,(
% 26.16/5.01 ring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9906])).
% 26.16/5.01 tff(f9906,axiom,(
% 26.16/5.01 ring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring_614)).
% 26.16/5.01 tff(f68154,plain,(
% 26.16/5.01 spl4009_225),
% 26.16/5.01 inference(avatar_split_clause,[],[f37082,f68151])).
% 26.16/5.01 tff(f68151,plain,(
% 26.16/5.01 spl4009_225 <=> ring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_225])])).
% 26.16/5.01 tff(f37082,plain,(
% 26.16/5.01 ring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9447])).
% 26.16/5.01 tff(f9447,axiom,(
% 26.16/5.01 ring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring_177)).
% 26.16/5.01 tff(f68149,plain,(
% 26.16/5.01 spl4009_224),
% 26.16/5.01 inference(avatar_split_clause,[],[f37081,f68146])).
% 26.16/5.01 tff(f68146,plain,(
% 26.16/5.01 spl4009_224 <=> ordere8940638589300402666id_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_224])])).
% 26.16/5.01 tff(f37081,plain,(
% 26.16/5.01 ordere8940638589300402666id_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9368])).
% 26.16/5.01 tff(f9368,axiom,(
% 26.16/5.01 ordere8940638589300402666id_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__cancel__comm__monoid__add_108)).
% 26.16/5.01 tff(f68144,plain,(
% 26.16/5.01 spl4009_223),
% 26.16/5.01 inference(avatar_split_clause,[],[f37080,f68141])).
% 26.16/5.01 tff(f68141,plain,(
% 26.16/5.01 spl4009_223 <=> ring(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_223])])).
% 26.16/5.01 tff(f37080,plain,(
% 26.16/5.01 ring(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9726])).
% 26.16/5.01 tff(f9726,axiom,(
% 26.16/5.01 ring(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring_435)).
% 26.16/5.01 tff(f68139,plain,(
% 26.16/5.01 spl4009_222),
% 26.16/5.01 inference(avatar_split_clause,[],[f37079,f68136])).
% 26.16/5.01 tff(f68136,plain,(
% 26.16/5.01 spl4009_222 <=> linord8928482502909563296strict(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_222])])).
% 26.16/5.01 tff(f37079,plain,(
% 26.16/5.01 linord8928482502909563296strict(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9291])).
% 26.16/5.01 tff(f9291,axiom,(
% 26.16/5.01 linord8928482502909563296strict(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring__strict_34)).
% 26.16/5.01 tff(f68134,plain,(
% 26.16/5.01 spl4009_221),
% 26.16/5.01 inference(avatar_split_clause,[],[f37078,f68131])).
% 26.16/5.01 tff(f68131,plain,(
% 26.16/5.01 spl4009_221 <=> linord8928482502909563296strict(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_221])])).
% 26.16/5.01 tff(f37078,plain,(
% 26.16/5.01 linord8928482502909563296strict(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9541])).
% 26.16/5.01 tff(f9541,axiom,(
% 26.16/5.01 linord8928482502909563296strict(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__strict_257)).
% 26.16/5.01 tff(f68129,plain,(
% 26.16/5.01 spl4009_220),
% 26.16/5.01 inference(avatar_split_clause,[],[f37077,f68126])).
% 26.16/5.01 tff(f68126,plain,(
% 26.16/5.01 spl4009_220 <=> linord8928482502909563296strict(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_220])])).
% 26.16/5.01 tff(f37077,plain,(
% 26.16/5.01 linord8928482502909563296strict(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9183])).
% 26.16/5.01 tff(f9183,axiom,(
% 26.16/5.01 linord8928482502909563296strict(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__strict)).
% 26.16/5.01 tff(f68124,plain,(
% 26.16/5.01 spl4009_219),
% 26.16/5.01 inference(avatar_split_clause,[],[f37076,f68121])).
% 26.16/5.01 tff(f68121,plain,(
% 26.16/5.01 spl4009_219 <=> linord8928482502909563296strict(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_219])])).
% 26.16/5.01 tff(f37076,plain,(
% 26.16/5.01 linord8928482502909563296strict(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9842])).
% 26.16/5.01 tff(f9842,axiom,(
% 26.16/5.01 linord8928482502909563296strict(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__strict_550)).
% 26.16/5.01 tff(f68119,plain,(
% 26.16/5.01 spl4009_218),
% 26.16/5.01 inference(avatar_split_clause,[],[f37075,f68116])).
% 26.16/5.01 tff(f68116,plain,(
% 26.16/5.01 spl4009_218 <=> linord8928482502909563296strict(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_218])])).
% 26.16/5.01 tff(f37075,plain,(
% 26.16/5.01 linord8928482502909563296strict(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9375])).
% 26.16/5.01 tff(f9375,axiom,(
% 26.16/5.01 linord8928482502909563296strict(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__strict_113)).
% 26.16/5.01 tff(f68114,plain,(
% 26.16/5.01 spl4009_217),
% 26.16/5.01 inference(avatar_split_clause,[],[f37074,f68111])).
% 26.16/5.01 tff(f68111,plain,(
% 26.16/5.01 spl4009_217 <=> ordered_semiring_0(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_217])])).
% 26.16/5.01 tff(f37074,plain,(
% 26.16/5.01 ordered_semiring_0(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9307])).
% 26.16/5.01 tff(f9307,axiom,(
% 26.16/5.01 ordered_semiring_0(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oordered__semiring__0_50)).
% 26.16/5.01 tff(f68109,plain,(
% 26.16/5.01 spl4009_216),
% 26.16/5.01 inference(avatar_split_clause,[],[f37073,f68106])).
% 26.16/5.01 tff(f68106,plain,(
% 26.16/5.01 spl4009_216 <=> comple592849572758109894attice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_216])])).
% 26.16/5.01 tff(f37073,plain,(
% 26.16/5.01 comple592849572758109894attice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9478])).
% 26.16/5.01 tff(f9478,axiom,(
% 26.16/5.01 comple592849572758109894attice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Complete__Lattices_Ocomplete__distrib__lattice_208)).
% 26.16/5.01 tff(f68104,plain,(
% 26.16/5.01 spl4009_215),
% 26.16/5.01 inference(avatar_split_clause,[],[f37072,f68101])).
% 26.16/5.01 tff(f68101,plain,(
% 26.16/5.01 spl4009_215 <=> counta4013691401010221786attice(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_215])])).
% 26.16/5.01 tff(f37072,plain,(
% 26.16/5.01 counta4013691401010221786attice(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9475])).
% 26.16/5.01 tff(f9475,axiom,(
% 26.16/5.01 counta4013691401010221786attice(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Countable__Complete__Lattices_Ocountable__complete__distrib__lattice_205)).
% 26.16/5.01 tff(f68099,plain,(
% 26.16/5.01 spl4009_214),
% 26.16/5.01 inference(avatar_split_clause,[],[f37071,f68096])).
% 26.16/5.01 tff(f68096,plain,(
% 26.16/5.01 spl4009_214 <=> ordered_semiring_0(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_214])])).
% 26.16/5.01 tff(f37071,plain,(
% 26.16/5.01 ordered_semiring_0(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9567])).
% 26.16/5.01 tff(f9567,axiom,(
% 26.16/5.01 ordered_semiring_0(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__semiring__0_277)).
% 26.16/5.01 tff(f68094,plain,(
% 26.16/5.01 spl4009_213),
% 26.16/5.01 inference(avatar_split_clause,[],[f37070,f68091])).
% 26.16/5.01 tff(f68091,plain,(
% 26.16/5.01 spl4009_213 <=> ordered_semiring_0(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_213])])).
% 26.16/5.01 tff(f37070,plain,(
% 26.16/5.01 ordered_semiring_0(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9205])).
% 26.16/5.01 tff(f9205,axiom,(
% 26.16/5.01 ordered_semiring_0(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__semiring__0)).
% 26.16/5.01 tff(f68089,plain,(
% 26.16/5.01 spl4009_212),
% 26.16/5.01 inference(avatar_split_clause,[],[f37069,f68086])).
% 26.16/5.01 tff(f68086,plain,(
% 26.16/5.01 spl4009_212 <=> ordered_semiring_0(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_212])])).
% 26.16/5.01 tff(f37069,plain,(
% 26.16/5.01 ordered_semiring_0(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9859])).
% 26.16/5.01 tff(f9859,axiom,(
% 26.16/5.01 ordered_semiring_0(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__semiring__0_567)).
% 26.16/5.01 tff(f68084,plain,(
% 26.16/5.01 spl4009_211),
% 26.16/5.01 inference(avatar_split_clause,[],[f37068,f68081])).
% 26.16/5.01 tff(f68081,plain,(
% 26.16/5.01 spl4009_211 <=> ordered_semiring_0(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_211])])).
% 26.16/5.01 tff(f37068,plain,(
% 26.16/5.01 ordered_semiring_0(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9392])).
% 26.16/5.01 tff(f9392,axiom,(
% 26.16/5.01 ordered_semiring_0(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__semiring__0_129)).
% 26.16/5.01 tff(f68079,plain,(
% 26.16/5.01 spl4009_210),
% 26.16/5.01 inference(avatar_split_clause,[],[f37067,f68076])).
% 26.16/5.01 tff(f68076,plain,(
% 26.16/5.01 spl4009_210 <=> counta4013691401010221786attice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_210])])).
% 26.16/5.01 tff(f37067,plain,(
% 26.16/5.01 counta4013691401010221786attice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9731])).
% 26.16/5.01 tff(f9731,axiom,(
% 26.16/5.01 counta4013691401010221786attice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Countable__Complete__Lattices_Ocountable__complete__distrib__lattice_440)).
% 26.16/5.01 tff(f68074,plain,(
% 26.16/5.01 spl4009_209),
% 26.16/5.01 inference(avatar_split_clause,[],[f37066,f68071])).
% 26.16/5.01 tff(f68071,plain,(
% 26.16/5.01 spl4009_209 <=> comple592849572758109894attice(extended_enat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_209])])).
% 26.16/5.01 tff(f37066,plain,(
% 26.16/5.01 comple592849572758109894attice(extended_enat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9734])).
% 26.16/5.01 tff(f9734,axiom,(
% 26.16/5.01 comple592849572758109894attice(extended_enat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__distrib__lattice_443)).
% 26.16/5.01 tff(f68069,plain,(
% 26.16/5.01 spl4009_208),
% 26.16/5.01 inference(avatar_split_clause,[],[f37065,f68066])).
% 26.16/5.01 tff(f68066,plain,(
% 26.16/5.01 spl4009_208 <=> comple592849572758109894attice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_208])])).
% 26.16/5.01 tff(f37065,plain,(
% 26.16/5.01 comple592849572758109894attice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9797])).
% 26.16/5.01 tff(f9797,axiom,(
% 26.16/5.01 comple592849572758109894attice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__distrib__lattice_505)).
% 26.16/5.01 tff(f68064,plain,(
% 26.16/5.01 spl4009_207),
% 26.16/5.01 inference(avatar_split_clause,[],[f37064,f68061])).
% 26.16/5.01 tff(f68061,plain,(
% 26.16/5.01 spl4009_207 <=> counta4013691401010221786attice(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_207])])).
% 26.16/5.01 tff(f37064,plain,(
% 26.16/5.01 counta4013691401010221786attice(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9794])).
% 26.16/5.01 tff(f9794,axiom,(
% 26.16/5.01 counta4013691401010221786attice(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Countable__Complete__Lattices_Ocountable__complete__distrib__lattice_502)).
% 26.16/5.01 tff(f68059,plain,(
% 26.16/5.01 spl4009_206),
% 26.16/5.01 inference(avatar_split_clause,[],[f37063,f68056])).
% 26.16/5.01 tff(f68056,plain,(
% 26.16/5.01 spl4009_206 <=> linordered_semiring(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_206])])).
% 26.16/5.01 tff(f37063,plain,(
% 26.16/5.01 linordered_semiring(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9306])).
% 26.16/5.01 tff(f9306,axiom,(
% 26.16/5.01 linordered_semiring(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__semiring_49)).
% 26.16/5.01 tff(f68054,plain,(
% 26.16/5.01 spl4009_205),
% 26.16/5.01 inference(avatar_split_clause,[],[f37062,f68051])).
% 26.16/5.01 tff(f68051,plain,(
% 26.16/5.01 spl4009_205 <=> linordered_semiring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_205])])).
% 26.16/5.01 tff(f37062,plain,(
% 26.16/5.01 linordered_semiring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9565])).
% 26.16/5.01 tff(f9565,axiom,(
% 26.16/5.01 linordered_semiring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring_276)).
% 26.16/5.01 tff(f68049,plain,(
% 26.16/5.01 spl4009_204),
% 26.16/5.01 inference(avatar_split_clause,[],[f37061,f68046])).
% 26.16/5.01 tff(f68046,plain,(
% 26.16/5.01 spl4009_204 <=> linordered_semiring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_204])])).
% 26.16/5.01 tff(f37061,plain,(
% 26.16/5.01 linordered_semiring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9204])).
% 26.16/5.01 tff(f9204,axiom,(
% 26.16/5.01 linordered_semiring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring)).
% 26.16/5.01 tff(f68044,plain,(
% 26.16/5.01 spl4009_203),
% 26.16/5.01 inference(avatar_split_clause,[],[f37060,f68041])).
% 26.16/5.01 tff(f68041,plain,(
% 26.16/5.01 spl4009_203 <=> linordered_semiring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_203])])).
% 26.16/5.01 tff(f37060,plain,(
% 26.16/5.01 linordered_semiring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9858])).
% 26.16/5.01 tff(f9858,axiom,(
% 26.16/5.01 linordered_semiring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring_566)).
% 26.16/5.01 tff(f68039,plain,(
% 26.16/5.01 spl4009_202),
% 26.16/5.01 inference(avatar_split_clause,[],[f37059,f68036])).
% 26.16/5.01 tff(f68036,plain,(
% 26.16/5.01 spl4009_202 <=> linordered_semiring(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_202])])).
% 26.16/5.01 tff(f37059,plain,(
% 26.16/5.01 linordered_semiring(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9391])).
% 26.16/5.01 tff(f9391,axiom,(
% 26.16/5.01 linordered_semiring(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring_128)).
% 26.16/5.01 tff(f68034,plain,(
% 26.16/5.01 spl4009_201),
% 26.16/5.01 inference(avatar_split_clause,[],[f37058,f68031])).
% 26.16/5.01 tff(f68031,plain,(
% 26.16/5.01 spl4009_201 <=> linord2810124833399127020strict(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_201])])).
% 26.16/5.01 tff(f37058,plain,(
% 26.16/5.01 linord2810124833399127020strict(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9279])).
% 26.16/5.01 tff(f9279,axiom,(
% 26.16/5.01 linord2810124833399127020strict(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__comm__semiring__strict_23)).
% 26.16/5.01 tff(f68029,plain,(
% 26.16/5.01 spl4009_200),
% 26.16/5.01 inference(avatar_split_clause,[],[f37057,f68026])).
% 26.16/5.01 tff(f68026,plain,(
% 26.16/5.01 spl4009_200 <=> linord2810124833399127020strict(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_200])])).
% 26.16/5.01 tff(f37057,plain,(
% 26.16/5.01 linord2810124833399127020strict(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9520])).
% 26.16/5.01 tff(f9520,axiom,(
% 26.16/5.01 linord2810124833399127020strict(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__comm__semiring__strict_244)).
% 26.16/5.01 tff(f68024,plain,(
% 26.16/5.01 spl4009_199),
% 26.16/5.01 inference(avatar_split_clause,[],[f37056,f68021])).
% 26.16/5.01 tff(f68021,plain,(
% 26.16/5.01 spl4009_199 <=> ring_15535105094025558882visors(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_199])])).
% 26.16/5.01 tff(f37056,plain,(
% 26.16/5.01 ring_15535105094025558882visors(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9552])).
% 26.16/5.01 tff(f9552,axiom,(
% 26.16/5.01 ring_15535105094025558882visors(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__1__no__zero__divisors_265)).
% 26.16/5.01 tff(f68019,plain,(
% 26.16/5.01 spl4009_198),
% 26.16/5.01 inference(avatar_split_clause,[],[f37055,f68016])).
% 26.16/5.01 tff(f68016,plain,(
% 26.16/5.01 spl4009_198 <=> linord2810124833399127020strict(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_198])])).
% 26.16/5.01 tff(f37055,plain,(
% 26.16/5.01 linord2810124833399127020strict(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9170])).
% 26.16/5.01 tff(f9170,axiom,(
% 26.16/5.01 linord2810124833399127020strict(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__comm__semiring__strict)).
% 26.16/5.01 tff(f68014,plain,(
% 26.16/5.01 spl4009_197),
% 26.16/5.01 inference(avatar_split_clause,[],[f37054,f68011])).
% 26.16/5.01 tff(f68011,plain,(
% 26.16/5.01 spl4009_197 <=> ring_15535105094025558882visors(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_197])])).
% 26.16/5.01 tff(f37054,plain,(
% 26.16/5.01 ring_15535105094025558882visors(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9192])).
% 26.16/5.01 tff(f9192,axiom,(
% 26.16/5.01 ring_15535105094025558882visors(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 26.16/5.01 tff(f68009,plain,(
% 26.16/5.01 spl4009_196),
% 26.16/5.01 inference(avatar_split_clause,[],[f37053,f68006])).
% 26.16/5.01 tff(f68006,plain,(
% 26.16/5.01 spl4009_196 <=> linord2810124833399127020strict(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_196])])).
% 26.16/5.01 tff(f37053,plain,(
% 26.16/5.01 linord2810124833399127020strict(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9834])).
% 26.16/5.01 tff(f9834,axiom,(
% 26.16/5.01 linord2810124833399127020strict(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__comm__semiring__strict_542)).
% 26.16/5.01 tff(f68004,plain,(
% 26.16/5.01 spl4009_195),
% 26.16/5.01 inference(avatar_split_clause,[],[f37052,f68001])).
% 26.16/5.01 tff(f68001,plain,(
% 26.16/5.01 spl4009_195 <=> ring_15535105094025558882visors(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_195])])).
% 26.16/5.01 tff(f37052,plain,(
% 26.16/5.01 ring_15535105094025558882visors(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9849])).
% 26.16/5.01 tff(f9849,axiom,(
% 26.16/5.01 ring_15535105094025558882visors(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oring__1__no__zero__divisors_557)).
% 26.16/5.01 tff(f67999,plain,(
% 26.16/5.01 spl4009_194),
% 26.16/5.01 inference(avatar_split_clause,[],[f37051,f67996])).
% 26.16/5.01 tff(f67996,plain,(
% 26.16/5.01 spl4009_194 <=> linord2810124833399127020strict(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_194])])).
% 26.16/5.01 tff(f37051,plain,(
% 26.16/5.01 linord2810124833399127020strict(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9366])).
% 26.16/5.01 tff(f9366,axiom,(
% 26.16/5.01 linord2810124833399127020strict(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__comm__semiring__strict_106)).
% 26.16/5.01 tff(f67994,plain,(
% 26.16/5.01 spl4009_193),
% 26.16/5.01 inference(avatar_split_clause,[],[f37050,f67991])).
% 26.16/5.01 tff(f67991,plain,(
% 26.16/5.01 spl4009_193 <=> ring_15535105094025558882visors(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_193])])).
% 26.16/5.01 tff(f37050,plain,(
% 26.16/5.01 ring_15535105094025558882visors(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9383])).
% 26.16/5.01 tff(f9383,axiom,(
% 26.16/5.01 ring_15535105094025558882visors(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oring__1__no__zero__divisors_120)).
% 26.16/5.01 tff(f67989,plain,(
% 26.16/5.01 spl4009_192),
% 26.16/5.01 inference(avatar_split_clause,[],[f37049,f67986])).
% 26.16/5.01 tff(f67986,plain,(
% 26.16/5.01 spl4009_192 <=> ring_15535105094025558882visors(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_192])])).
% 26.16/5.01 tff(f37049,plain,(
% 26.16/5.01 ring_15535105094025558882visors(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9682])).
% 26.16/5.01 tff(f9682,axiom,(
% 26.16/5.01 ring_15535105094025558882visors(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Rings_Oring__1__no__zero__divisors_391)).
% 26.16/5.01 tff(f67984,plain,(
% 26.16/5.01 spl4009_191),
% 26.16/5.01 inference(avatar_split_clause,[],[f37048,f67981])).
% 26.16/5.01 tff(f67981,plain,(
% 26.16/5.01 spl4009_191 <=> linordered_idom(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_191])])).
% 26.16/5.01 tff(f37048,plain,(
% 26.16/5.01 linordered_idom(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9582])).
% 26.16/5.01 tff(f9582,axiom,(
% 26.16/5.01 linordered_idom(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__idom_292)).
% 26.16/5.01 tff(f67979,plain,(
% 26.16/5.01 spl4009_190),
% 26.16/5.01 inference(avatar_split_clause,[],[f37047,f67976])).
% 26.16/5.01 tff(f67976,plain,(
% 26.16/5.01 spl4009_190 <=> linordered_idom(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_190])])).
% 26.16/5.01 tff(f37047,plain,(
% 26.16/5.01 linordered_idom(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9221])).
% 26.16/5.01 tff(f9221,axiom,(
% 26.16/5.01 linordered_idom(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__idom)).
% 26.16/5.01 tff(f67974,plain,(
% 26.16/5.01 spl4009_189),
% 26.16/5.01 inference(avatar_split_clause,[],[f37046,f67971])).
% 26.16/5.01 tff(f67971,plain,(
% 26.16/5.01 spl4009_189 <=> linordered_idom(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_189])])).
% 26.16/5.01 tff(f37046,plain,(
% 26.16/5.01 linordered_idom(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9872])).
% 26.16/5.01 tff(f9872,axiom,(
% 26.16/5.01 linordered_idom(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__idom_580)).
% 26.16/5.01 tff(f67969,plain,(
% 26.16/5.01 spl4009_188),
% 26.16/5.01 inference(avatar_split_clause,[],[f37045,f67966])).
% 26.16/5.01 tff(f67966,plain,(
% 26.16/5.01 spl4009_188 <=> linordered_idom(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_188])])).
% 26.16/5.01 tff(f37045,plain,(
% 26.16/5.01 linordered_idom(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9407])).
% 26.16/5.01 tff(f9407,axiom,(
% 26.16/5.01 linordered_idom(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__idom_142)).
% 26.16/5.01 tff(f67964,plain,(
% 26.16/5.01 spl4009_187),
% 26.16/5.01 inference(avatar_split_clause,[],[f37044,f67961])).
% 26.16/5.01 tff(f67961,plain,(
% 26.16/5.01 spl4009_187 <=> topolo1944317154257567458pology(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_187])])).
% 26.16/5.01 tff(f37044,plain,(
% 26.16/5.01 topolo1944317154257567458pology(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9284])).
% 26.16/5.01 tff(f9284,axiom,(
% 26.16/5.01 topolo1944317154257567458pology(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Olinorder__topology_27)).
% 26.16/5.01 tff(f67959,plain,(
% 26.16/5.01 spl4009_186),
% 26.16/5.01 inference(avatar_split_clause,[],[f37043,f67956])).
% 26.16/5.01 tff(f67956,plain,(
% 26.16/5.01 spl4009_186 <=> topolo1944317154257567458pology(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_186])])).
% 26.16/5.01 tff(f37043,plain,(
% 26.16/5.01 topolo1944317154257567458pology(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9480])).
% 26.16/5.01 tff(f9480,axiom,(
% 26.16/5.01 topolo1944317154257567458pology(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Olinorder__topology_210)).
% 26.16/5.01 tff(f67954,plain,(
% 26.16/5.01 spl4009_185),
% 26.16/5.01 inference(avatar_split_clause,[],[f37042,f67951])).
% 26.16/5.01 tff(f67951,plain,(
% 26.16/5.01 spl4009_185 <=> topolo1944317154257567458pology(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_185])])).
% 26.16/5.01 tff(f37042,plain,(
% 26.16/5.01 topolo1944317154257567458pology(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9525])).
% 26.16/5.01 tff(f9525,axiom,(
% 26.16/5.01 topolo1944317154257567458pology(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinorder__topology_248)).
% 26.16/5.01 tff(f67949,plain,(
% 26.16/5.01 spl4009_184),
% 26.16/5.01 inference(avatar_split_clause,[],[f37041,f67946])).
% 26.16/5.01 tff(f67946,plain,(
% 26.16/5.01 spl4009_184 <=> topolo1944317154257567458pology(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_184])])).
% 26.16/5.01 tff(f37041,plain,(
% 26.16/5.01 topolo1944317154257567458pology(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9174])).
% 26.16/5.01 tff(f9174,axiom,(
% 26.16/5.01 topolo1944317154257567458pology(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Olinorder__topology)).
% 26.16/5.01 tff(f67944,plain,(
% 26.16/5.01 spl4009_183),
% 26.16/5.01 inference(avatar_split_clause,[],[f37040,f67941])).
% 26.16/5.01 tff(f67941,plain,(
% 26.16/5.01 spl4009_183 <=> ordere166539214618696060dd_abs(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_183])])).
% 26.16/5.01 tff(f37040,plain,(
% 26.16/5.01 ordere166539214618696060dd_abs(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9546])).
% 26.16/5.01 tff(f9546,axiom,(
% 26.16/5.01 ordere166539214618696060dd_abs(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add__abs_260)).
% 26.16/5.01 tff(f67939,plain,(
% 26.16/5.01 spl4009_182),
% 26.16/5.01 inference(avatar_split_clause,[],[f37039,f67936])).
% 26.16/5.01 tff(f67936,plain,(
% 26.16/5.01 spl4009_182 <=> ordere166539214618696060dd_abs(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_182])])).
% 26.16/5.01 tff(f37039,plain,(
% 26.16/5.01 ordere166539214618696060dd_abs(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9186])).
% 26.16/5.01 tff(f9186,axiom,(
% 26.16/5.01 ordere166539214618696060dd_abs(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add__abs)).
% 26.16/5.01 tff(f67934,plain,(
% 26.16/5.01 spl4009_181),
% 26.16/5.01 inference(avatar_split_clause,[],[f37038,f67931])).
% 26.16/5.01 tff(f67931,plain,(
% 26.16/5.01 spl4009_181 <=> ordere166539214618696060dd_abs(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_181])])).
% 26.16/5.01 tff(f37038,plain,(
% 26.16/5.01 ordere166539214618696060dd_abs(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9845])).
% 26.16/5.01 tff(f9845,axiom,(
% 26.16/5.01 ordere166539214618696060dd_abs(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add__abs_553)).
% 26.16/5.01 tff(f67929,plain,(
% 26.16/5.01 spl4009_180),
% 26.16/5.01 inference(avatar_split_clause,[],[f37037,f67926])).
% 26.16/5.01 tff(f67926,plain,(
% 26.16/5.01 spl4009_180 <=> ordere166539214618696060dd_abs(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_180])])).
% 26.16/5.01 tff(f37037,plain,(
% 26.16/5.01 ordere166539214618696060dd_abs(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9378])).
% 26.16/5.01 tff(f9378,axiom,(
% 26.16/5.01 ordere166539214618696060dd_abs(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add__abs_116)).
% 26.16/5.01 tff(f67924,plain,(
% 26.16/5.01 spl4009_179),
% 26.16/5.01 inference(avatar_split_clause,[],[f37036,f67921])).
% 26.16/5.01 tff(f67921,plain,(
% 26.16/5.01 spl4009_179 <=> ordered_ab_group_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_179])])).
% 26.16/5.01 tff(f37036,plain,(
% 26.16/5.01 ordered_ab_group_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9563])).
% 26.16/5.01 tff(f9563,axiom,(
% 26.16/5.01 ordered_ab_group_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Oordered__ab__group__add_274)).
% 26.16/5.01 tff(f67919,plain,(
% 26.16/5.01 spl4009_178),
% 26.16/5.01 inference(avatar_split_clause,[],[f37035,f67916])).
% 26.16/5.01 tff(f67916,plain,(
% 26.16/5.01 spl4009_178 <=> ordered_ab_group_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_178])])).
% 26.16/5.01 tff(f37035,plain,(
% 26.16/5.01 ordered_ab_group_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9202])).
% 26.16/5.01 tff(f9202,axiom,(
% 26.16/5.01 ordered_ab_group_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Oordered__ab__group__add)).
% 26.16/5.01 tff(f67914,plain,(
% 26.16/5.01 spl4009_177),
% 26.16/5.01 inference(avatar_split_clause,[],[f37034,f67911])).
% 26.16/5.01 tff(f67911,plain,(
% 26.16/5.01 spl4009_177 <=> ordered_ab_group_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_177])])).
% 26.16/5.01 tff(f37034,plain,(
% 26.16/5.01 ordered_ab_group_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9856])).
% 26.16/5.01 tff(f9856,axiom,(
% 26.16/5.01 ordered_ab_group_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Oordered__ab__group__add_564)).
% 26.16/5.01 tff(f67909,plain,(
% 26.16/5.01 spl4009_176),
% 26.16/5.01 inference(avatar_split_clause,[],[f37033,f67906])).
% 26.16/5.01 tff(f67906,plain,(
% 26.16/5.01 spl4009_176 <=> ordered_ab_group_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_176])])).
% 26.16/5.01 tff(f37033,plain,(
% 26.16/5.01 ordered_ab_group_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9389])).
% 26.16/5.01 tff(f9389,axiom,(
% 26.16/5.01 ordered_ab_group_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Oordered__ab__group__add_126)).
% 26.16/5.01 tff(f67904,plain,(
% 26.16/5.01 spl4009_175),
% 26.16/5.01 inference(avatar_split_clause,[],[f37032,f67901])).
% 26.16/5.01 tff(f67901,plain,(
% 26.16/5.01 spl4009_175 <=> boolea8198339166811842893lgebra(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_175])])).
% 26.16/5.01 tff(f37032,plain,(
% 26.16/5.01 boolea8198339166811842893lgebra(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9486])).
% 26.16/5.01 tff(f9486,axiom,(
% 26.16/5.01 boolea8198339166811842893lgebra(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Boolean__Algebras_Oboolean__algebra_216)).
% 26.16/5.01 tff(f67899,plain,(
% 26.16/5.01 spl4009_174),
% 26.16/5.01 inference(avatar_split_clause,[],[f37031,f67896])).
% 26.16/5.01 tff(f67896,plain,(
% 26.16/5.01 spl4009_174 <=> boolea8198339166811842893lgebra(product_unit)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_174])])).
% 26.16/5.01 tff(f37031,plain,(
% 26.16/5.01 boolea8198339166811842893lgebra(product_unit)),
% 26.16/5.01 inference(cnf_transformation,[],[f9802])).
% 26.16/5.01 tff(f9802,axiom,(
% 26.16/5.01 boolea8198339166811842893lgebra(product_unit)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Boolean__Algebras_Oboolean__algebra_510)).
% 26.16/5.01 tff(f67894,plain,(
% 26.16/5.01 spl4009_173),
% 26.16/5.01 inference(avatar_split_clause,[],[f37030,f67891])).
% 26.16/5.01 tff(f67891,plain,(
% 26.16/5.01 spl4009_173 <=> linord5086331880401160121up_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_173])])).
% 26.16/5.01 tff(f37030,plain,(
% 26.16/5.01 linord5086331880401160121up_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9550])).
% 26.16/5.01 tff(f9550,axiom,(
% 26.16/5.01 linord5086331880401160121up_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Groups_Olinordered__ab__group__add_263)).
% 26.16/5.01 tff(f67889,plain,(
% 26.16/5.01 spl4009_172),
% 26.16/5.01 inference(avatar_split_clause,[],[f37029,f67886])).
% 26.16/5.01 tff(f67886,plain,(
% 26.16/5.01 spl4009_172 <=> linord5086331880401160121up_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_172])])).
% 26.16/5.01 tff(f37029,plain,(
% 26.16/5.01 linord5086331880401160121up_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9190])).
% 26.16/5.01 tff(f9190,axiom,(
% 26.16/5.01 linord5086331880401160121up_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Groups_Olinordered__ab__group__add)).
% 26.16/5.01 tff(f67884,plain,(
% 26.16/5.01 spl4009_171),
% 26.16/5.01 inference(avatar_split_clause,[],[f37028,f67881])).
% 26.16/5.01 tff(f67881,plain,(
% 26.16/5.01 spl4009_171 <=> linord5086331880401160121up_add(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_171])])).
% 26.16/5.01 tff(f37028,plain,(
% 26.16/5.01 linord5086331880401160121up_add(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9847])).
% 26.16/5.01 tff(f9847,axiom,(
% 26.16/5.01 linord5086331880401160121up_add(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Groups_Olinordered__ab__group__add_555)).
% 26.16/5.01 tff(f67879,plain,(
% 26.16/5.01 spl4009_170),
% 26.16/5.01 inference(avatar_split_clause,[],[f37027,f67876])).
% 26.16/5.01 tff(f67876,plain,(
% 26.16/5.01 spl4009_170 <=> linord5086331880401160121up_add(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_170])])).
% 26.16/5.01 tff(f37027,plain,(
% 26.16/5.01 linord5086331880401160121up_add(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9381])).
% 26.16/5.01 tff(f9381,axiom,(
% 26.16/5.01 linord5086331880401160121up_add(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Groups_Olinordered__ab__group__add_118)).
% 26.16/5.01 tff(f67874,plain,(
% 26.16/5.01 spl4009_169),
% 26.16/5.01 inference(avatar_split_clause,[],[f37026,f67871])).
% 26.16/5.01 tff(f67871,plain,(
% 26.16/5.01 spl4009_169 <=> topolo6943815403480290642id_add(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_169])])).
% 26.16/5.01 tff(f37026,plain,(
% 26.16/5.01 topolo6943815403480290642id_add(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9298])).
% 26.16/5.01 tff(f9298,axiom,(
% 26.16/5.01 topolo6943815403480290642id_add(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__add_41)).
% 26.16/5.01 tff(f67869,plain,(
% 26.16/5.01 spl4009_168),
% 26.16/5.01 inference(avatar_split_clause,[],[f37025,f67866])).
% 26.16/5.01 tff(f67866,plain,(
% 26.16/5.01 spl4009_168 <=> no_top(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_168])])).
% 26.16/5.01 tff(f37025,plain,(
% 26.16/5.01 no_top(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9340])).
% 26.16/5.01 tff(f9340,axiom,(
% 26.16/5.01 no_top(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Ono__top_81)).
% 26.16/5.01 tff(f67864,plain,(
% 26.16/5.01 spl4009_167),
% 26.16/5.01 inference(avatar_split_clause,[],[f37024,f67861])).
% 26.16/5.01 tff(f67861,plain,(
% 26.16/5.01 spl4009_167 <=> topolo6943815403480290642id_add(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_167])])).
% 26.16/5.01 tff(f37024,plain,(
% 26.16/5.01 topolo6943815403480290642id_add(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9554])).
% 26.16/5.01 tff(f9554,axiom,(
% 26.16/5.01 topolo6943815403480290642id_add(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__monoid__add_266)).
% 26.16/5.01 tff(f67859,plain,(
% 26.16/5.01 spl4009_166),
% 26.16/5.01 inference(avatar_split_clause,[],[f37023,f67856])).
% 26.16/5.01 tff(f67856,plain,(
% 26.16/5.01 spl4009_166 <=> no_top(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_166])])).
% 26.16/5.01 tff(f37023,plain,(
% 26.16/5.01 no_top(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9605])).
% 26.16/5.01 tff(f9605,axiom,(
% 26.16/5.01 no_top(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__top_314)).
% 26.16/5.01 tff(f67854,plain,(
% 26.16/5.01 spl4009_165),
% 26.16/5.01 inference(avatar_split_clause,[],[f37022,f67851])).
% 26.16/5.01 tff(f67851,plain,(
% 26.16/5.01 spl4009_165 <=> no_top(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_165])])).
% 26.16/5.01 tff(f37022,plain,(
% 26.16/5.01 no_top(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9242])).
% 26.16/5.01 tff(f9242,axiom,(
% 26.16/5.01 no_top(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__top)).
% 26.16/5.01 tff(f67849,plain,(
% 26.16/5.01 spl4009_164),
% 26.16/5.01 inference(avatar_split_clause,[],[f37021,f67846])).
% 26.16/5.01 tff(f67846,plain,(
% 26.16/5.01 spl4009_164 <=> topolo6943815403480290642id_add(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_164])])).
% 26.16/5.01 tff(f37021,plain,(
% 26.16/5.01 topolo6943815403480290642id_add(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9193])).
% 26.16/5.01 tff(f9193,axiom,(
% 26.16/5.01 topolo6943815403480290642id_add(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__add)).
% 26.16/5.01 tff(f67844,plain,(
% 26.16/5.01 spl4009_163),
% 26.16/5.01 inference(avatar_split_clause,[],[f37020,f67841])).
% 26.16/5.01 tff(f67841,plain,(
% 26.16/5.01 spl4009_163 <=> no_top(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_163])])).
% 26.16/5.01 tff(f37020,plain,(
% 26.16/5.01 no_top(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9429])).
% 26.16/5.01 tff(f9429,axiom,(
% 26.16/5.01 no_top(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__top_161)).
% 26.16/5.01 tff(f67839,plain,(
% 26.16/5.01 spl4009_162),
% 26.16/5.01 inference(avatar_split_clause,[],[f37019,f67836])).
% 26.16/5.01 tff(f67836,plain,(
% 26.16/5.01 spl4009_162 <=> topolo6943815403480290642id_add(complex)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_162])])).
% 26.16/5.01 tff(f37019,plain,(
% 26.16/5.01 topolo6943815403480290642id_add(complex)),
% 26.16/5.01 inference(cnf_transformation,[],[f9684])).
% 26.16/5.01 tff(f9684,axiom,(
% 26.16/5.01 topolo6943815403480290642id_add(complex)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__monoid__add_393)).
% 26.16/5.01 tff(f67834,plain,(
% 26.16/5.01 spl4009_161),
% 26.16/5.01 inference(avatar_split_clause,[],[f37018,f67831])).
% 26.16/5.01 tff(f67831,plain,(
% 26.16/5.01 spl4009_161 <=> linord4710134922213307826strict(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_161])])).
% 26.16/5.01 tff(f37018,plain,(
% 26.16/5.01 linord4710134922213307826strict(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9556])).
% 26.16/5.01 tff(f9556,axiom,(
% 26.16/5.01 linord4710134922213307826strict(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring__strict_268)).
% 26.16/5.01 tff(f67829,plain,(
% 26.16/5.01 spl4009_160),
% 26.16/5.01 inference(avatar_split_clause,[],[f37017,f67826])).
% 26.16/5.01 tff(f67826,plain,(
% 26.16/5.01 spl4009_160 <=> linord4710134922213307826strict(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_160])])).
% 26.16/5.01 tff(f37017,plain,(
% 26.16/5.01 linord4710134922213307826strict(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9195])).
% 26.16/5.01 tff(f9195,axiom,(
% 26.16/5.01 linord4710134922213307826strict(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring__strict)).
% 26.16/5.01 tff(f67824,plain,(
% 26.16/5.01 spl4009_159),
% 26.16/5.01 inference(avatar_split_clause,[],[f37016,f67821])).
% 26.16/5.01 tff(f67821,plain,(
% 26.16/5.01 spl4009_159 <=> linord4710134922213307826strict(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_159])])).
% 26.16/5.01 tff(f37016,plain,(
% 26.16/5.01 linord4710134922213307826strict(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9851])).
% 26.16/5.01 tff(f9851,axiom,(
% 26.16/5.01 linord4710134922213307826strict(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring__strict_559)).
% 26.16/5.01 tff(f67819,plain,(
% 26.16/5.01 spl4009_158),
% 26.16/5.01 inference(avatar_split_clause,[],[f37015,f67816])).
% 26.16/5.01 tff(f67816,plain,(
% 26.16/5.01 spl4009_158 <=> linord4710134922213307826strict(rat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_158])])).
% 26.16/5.01 tff(f37015,plain,(
% 26.16/5.01 linord4710134922213307826strict(rat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9385])).
% 26.16/5.01 tff(f9385,axiom,(
% 26.16/5.01 linord4710134922213307826strict(rat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring__strict_122)).
% 26.16/5.01 tff(f67814,plain,(
% 26.16/5.01 spl4009_157),
% 26.16/5.01 inference(avatar_split_clause,[],[f37014,f67811])).
% 26.16/5.01 tff(f67811,plain,(
% 26.16/5.01 spl4009_157 <=> topolo2564578578187576103pology(nat)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_157])])).
% 26.16/5.01 tff(f37014,plain,(
% 26.16/5.01 topolo2564578578187576103pology(nat)),
% 26.16/5.01 inference(cnf_transformation,[],[f9288])).
% 26.16/5.01 tff(f9288,axiom,(
% 26.16/5.01 topolo2564578578187576103pology(nat)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Oorder__topology_31)).
% 26.16/5.01 tff(f67809,plain,(
% 26.16/5.01 spl4009_156),
% 26.16/5.01 inference(avatar_split_clause,[],[f37013,f67806])).
% 26.16/5.01 tff(f67806,plain,(
% 26.16/5.01 spl4009_156 <=> topolo2564578578187576103pology(bool)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_156])])).
% 26.16/5.01 tff(f37013,plain,(
% 26.16/5.01 topolo2564578578187576103pology(bool)),
% 26.16/5.01 inference(cnf_transformation,[],[f9485])).
% 26.16/5.01 tff(f9485,axiom,(
% 26.16/5.01 topolo2564578578187576103pology(bool)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Oorder__topology_215)).
% 26.16/5.01 tff(f67804,plain,(
% 26.16/5.01 spl4009_155),
% 26.16/5.01 inference(avatar_split_clause,[],[f37012,f67801])).
% 26.16/5.01 tff(f67801,plain,(
% 26.16/5.01 spl4009_155 <=> topolo2564578578187576103pology(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_155])])).
% 26.16/5.01 tff(f37012,plain,(
% 26.16/5.01 topolo2564578578187576103pology(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9534])).
% 26.16/5.01 tff(f9534,axiom,(
% 26.16/5.01 topolo2564578578187576103pology(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Oorder__topology_254)).
% 26.16/5.01 tff(f67799,plain,(
% 26.16/5.01 spl4009_154),
% 26.16/5.01 inference(avatar_split_clause,[],[f37011,f67796])).
% 26.16/5.01 tff(f67796,plain,(
% 26.16/5.01 spl4009_154 <=> ordered_ring(real)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_154])])).
% 26.16/5.01 tff(f37011,plain,(
% 26.16/5.01 ordered_ring(real)),
% 26.16/5.01 inference(cnf_transformation,[],[f9596])).
% 26.16/5.01 tff(f9596,axiom,(
% 26.16/5.01 ordered_ring(real)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring_306)).
% 26.16/5.01 tff(f67794,plain,(
% 26.16/5.01 spl4009_153),
% 26.16/5.01 inference(avatar_split_clause,[],[f37010,f67791])).
% 26.16/5.01 tff(f67791,plain,(
% 26.16/5.01 spl4009_153 <=> ordered_ring(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_153])])).
% 26.16/5.01 tff(f37010,plain,(
% 26.16/5.01 ordered_ring(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9233])).
% 26.16/5.01 tff(f9233,axiom,(
% 26.16/5.01 ordered_ring(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring)).
% 26.16/5.01 tff(f67789,plain,(
% 26.16/5.01 spl4009_152),
% 26.16/5.01 inference(avatar_split_clause,[],[f37009,f67786])).
% 26.16/5.01 tff(f67786,plain,(
% 26.16/5.01 spl4009_152 <=> topolo2564578578187576103pology(int)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_152])])).
% 26.16/5.01 tff(f37009,plain,(
% 26.16/5.01 topolo2564578578187576103pology(int)),
% 26.16/5.01 inference(cnf_transformation,[],[f9180])).
% 26.16/5.01 tff(f9180,axiom,(
% 26.16/5.01 topolo2564578578187576103pology(int)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Oorder__topology)).
% 26.16/5.01 tff(f67784,plain,(
% 26.16/5.01 spl4009_151),
% 26.16/5.01 inference(avatar_split_clause,[],[f37008,f67781])).
% 26.16/5.01 tff(f67781,plain,(
% 26.16/5.01 spl4009_151 <=> ordered_ring(code_integer)),
% 26.16/5.01 introduced(avatar_definition,[new_symbols(naming,[spl4009_151])])).
% 26.16/5.01 tff(f37008,plain,(
% 26.16/5.01 ordered_ring(code_integer)),
% 26.16/5.01 inference(cnf_transformation,[],[f9884])).
% 26.16/5.01 tff(f9884,axiom,(
% 26.16/5.01 ordered_ring(code_integer)),
% 26.16/5.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring_592)).
% 26.16/5.01 tff(f67779,plain,(
% 26.16/5.02 spl4009_150),
% 26.16/5.02 inference(avatar_split_clause,[],[f37007,f67776])).
% 26.16/5.02 tff(f67776,plain,(
% 26.16/5.02 spl4009_150 <=> ordered_ring(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_150])])).
% 26.16/5.02 tff(f37007,plain,(
% 26.16/5.02 ordered_ring(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9421])).
% 26.16/5.02 tff(f9421,axiom,(
% 26.16/5.02 ordered_ring(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring_153)).
% 26.16/5.02 tff(f67774,plain,(
% 26.16/5.02 spl4009_149),
% 26.16/5.02 inference(avatar_split_clause,[],[f37006,f67771])).
% 26.16/5.02 tff(f67771,plain,(
% 26.16/5.02 spl4009_149 <=> topolo5987344860129210374id_add(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_149])])).
% 26.16/5.02 tff(f37006,plain,(
% 26.16/5.02 topolo5987344860129210374id_add(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9286])).
% 26.16/5.02 tff(f9286,axiom,(
% 26.16/5.02 topolo5987344860129210374id_add(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__comm__monoid__add_29)).
% 26.16/5.02 tff(f67769,plain,(
% 26.16/5.02 spl4009_148),
% 26.16/5.02 inference(avatar_split_clause,[],[f37005,f67766])).
% 26.16/5.02 tff(f67766,plain,(
% 26.16/5.02 spl4009_148 <=> topolo5987344860129210374id_add(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_148])])).
% 26.16/5.02 tff(f37005,plain,(
% 26.16/5.02 topolo5987344860129210374id_add(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9532])).
% 26.16/5.02 tff(f9532,axiom,(
% 26.16/5.02 topolo5987344860129210374id_add(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__comm__monoid__add_252)).
% 26.16/5.02 tff(f67764,plain,(
% 26.16/5.02 spl4009_147),
% 26.16/5.02 inference(avatar_split_clause,[],[f37004,f67761])).
% 26.16/5.02 tff(f67761,plain,(
% 26.16/5.02 spl4009_147 <=> topolo5987344860129210374id_add(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_147])])).
% 26.16/5.02 tff(f37004,plain,(
% 26.16/5.02 topolo5987344860129210374id_add(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9177])).
% 26.16/5.02 tff(f9177,axiom,(
% 26.16/5.02 topolo5987344860129210374id_add(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__comm__monoid__add)).
% 26.16/5.02 tff(f67759,plain,(
% 26.16/5.02 spl4009_146),
% 26.16/5.02 inference(avatar_split_clause,[],[f37003,f67756])).
% 26.16/5.02 tff(f67756,plain,(
% 26.16/5.02 spl4009_146 <=> topolo5987344860129210374id_add(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_146])])).
% 26.16/5.02 tff(f37003,plain,(
% 26.16/5.02 topolo5987344860129210374id_add(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9671])).
% 26.16/5.02 tff(f9671,axiom,(
% 26.16/5.02 topolo5987344860129210374id_add(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__comm__monoid__add_380)).
% 26.16/5.02 tff(f67754,plain,(
% 26.16/5.02 spl4009_145),
% 26.16/5.02 inference(avatar_split_clause,[],[f37002,f67751])).
% 26.16/5.02 tff(f67751,plain,(
% 26.16/5.02 spl4009_145 <=> linordered_ring(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_145])])).
% 26.16/5.02 tff(f37002,plain,(
% 26.16/5.02 linordered_ring(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9581])).
% 26.16/5.02 tff(f9581,axiom,(
% 26.16/5.02 linordered_ring(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__ring_291)).
% 26.16/5.02 tff(f67749,plain,(
% 26.16/5.02 spl4009_144),
% 26.16/5.02 inference(avatar_split_clause,[],[f37001,f67746])).
% 26.16/5.02 tff(f67746,plain,(
% 26.16/5.02 spl4009_144 <=> linordered_ring(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_144])])).
% 26.16/5.02 tff(f37001,plain,(
% 26.16/5.02 linordered_ring(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9220])).
% 26.16/5.02 tff(f9220,axiom,(
% 26.16/5.02 linordered_ring(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__ring)).
% 26.16/5.02 tff(f67744,plain,(
% 26.16/5.02 spl4009_143),
% 26.16/5.02 inference(avatar_split_clause,[],[f37000,f67741])).
% 26.16/5.02 tff(f67741,plain,(
% 26.16/5.02 spl4009_143 <=> linordered_ring(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_143])])).
% 26.16/5.02 tff(f37000,plain,(
% 26.16/5.02 linordered_ring(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9871])).
% 26.16/5.02 tff(f9871,axiom,(
% 26.16/5.02 linordered_ring(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__ring_579)).
% 26.16/5.02 tff(f67739,plain,(
% 26.16/5.02 spl4009_142),
% 26.16/5.02 inference(avatar_split_clause,[],[f36999,f67736])).
% 26.16/5.02 tff(f67736,plain,(
% 26.16/5.02 spl4009_142 <=> linordered_ring(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_142])])).
% 26.16/5.02 tff(f36999,plain,(
% 26.16/5.02 linordered_ring(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9406])).
% 26.16/5.02 tff(f9406,axiom,(
% 26.16/5.02 linordered_ring(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__ring_141)).
% 26.16/5.02 tff(f67734,plain,(
% 26.16/5.02 spl4009_141),
% 26.16/5.02 inference(avatar_split_clause,[],[f36998,f67731])).
% 26.16/5.02 tff(f67731,plain,(
% 26.16/5.02 spl4009_141 <=> ordered_ring_abs(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_141])])).
% 26.16/5.02 tff(f36998,plain,(
% 26.16/5.02 ordered_ring_abs(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9579])).
% 26.16/5.02 tff(f9579,axiom,(
% 26.16/5.02 ordered_ring_abs(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oordered__ring__abs_289)).
% 26.16/5.02 tff(f67729,plain,(
% 26.16/5.02 spl4009_140),
% 26.16/5.02 inference(avatar_split_clause,[],[f36997,f67726])).
% 26.16/5.02 tff(f67726,plain,(
% 26.16/5.02 spl4009_140 <=> linord715952674999750819strict(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_140])])).
% 26.16/5.02 tff(f36997,plain,(
% 26.16/5.02 linord715952674999750819strict(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9529])).
% 26.16/5.02 tff(f9529,axiom,(
% 26.16/5.02 linord715952674999750819strict(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1__strict_250)).
% 26.16/5.02 tff(f67724,plain,(
% 26.16/5.02 spl4009_139),
% 26.16/5.02 inference(avatar_split_clause,[],[f36996,f67721])).
% 26.16/5.02 tff(f67721,plain,(
% 26.16/5.02 spl4009_139 <=> linord6961819062388156250ring_1(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_139])])).
% 26.16/5.02 tff(f36996,plain,(
% 26.16/5.02 linord6961819062388156250ring_1(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9562])).
% 26.16/5.02 tff(f9562,axiom,(
% 26.16/5.02 linord6961819062388156250ring_1(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Olinordered__semiring__1_273)).
% 26.16/5.02 tff(f67719,plain,(
% 26.16/5.02 spl4009_138),
% 26.16/5.02 inference(avatar_split_clause,[],[f36995,f67716])).
% 26.16/5.02 tff(f67716,plain,(
% 26.16/5.02 spl4009_138 <=> linord6961819062388156250ring_1(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_138])])).
% 26.16/5.02 tff(f36995,plain,(
% 26.16/5.02 linord6961819062388156250ring_1(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9201])).
% 26.16/5.02 tff(f9201,axiom,(
% 26.16/5.02 linord6961819062388156250ring_1(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1)).
% 26.16/5.02 tff(f67714,plain,(
% 26.16/5.02 spl4009_137),
% 26.16/5.02 inference(avatar_split_clause,[],[f36994,f67711])).
% 26.16/5.02 tff(f67711,plain,(
% 26.16/5.02 spl4009_137 <=> ordered_ring_abs(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_137])])).
% 26.16/5.02 tff(f36994,plain,(
% 26.16/5.02 ordered_ring_abs(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9216])).
% 26.16/5.02 tff(f9216,axiom,(
% 26.16/5.02 ordered_ring_abs(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oordered__ring__abs)).
% 26.16/5.02 tff(f67709,plain,(
% 26.16/5.02 spl4009_136),
% 26.16/5.02 inference(avatar_split_clause,[],[f36993,f67706])).
% 26.16/5.02 tff(f67706,plain,(
% 26.16/5.02 spl4009_136 <=> linord715952674999750819strict(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_136])])).
% 26.16/5.02 tff(f36993,plain,(
% 26.16/5.02 linord715952674999750819strict(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9176])).
% 26.16/5.02 tff(f9176,axiom,(
% 26.16/5.02 linord715952674999750819strict(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Olinordered__semiring__1__strict)).
% 26.16/5.02 tff(f67704,plain,(
% 26.16/5.02 spl4009_135),
% 26.16/5.02 inference(avatar_split_clause,[],[f36992,f67701])).
% 26.16/5.02 tff(f67701,plain,(
% 26.16/5.02 spl4009_135 <=> ordered_ring_abs(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_135])])).
% 26.16/5.02 tff(f36992,plain,(
% 26.16/5.02 ordered_ring_abs(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9867])).
% 26.16/5.02 tff(f9867,axiom,(
% 26.16/5.02 ordered_ring_abs(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oordered__ring__abs_575)).
% 26.16/5.02 tff(f67699,plain,(
% 26.16/5.02 spl4009_134),
% 26.16/5.02 inference(avatar_split_clause,[],[f36991,f67696])).
% 26.16/5.02 tff(f67696,plain,(
% 26.16/5.02 spl4009_134 <=> linord6961819062388156250ring_1(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_134])])).
% 26.16/5.02 tff(f36991,plain,(
% 26.16/5.02 linord6961819062388156250ring_1(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9855])).
% 26.16/5.02 tff(f9855,axiom,(
% 26.16/5.02 linord6961819062388156250ring_1(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1_563)).
% 26.16/5.02 tff(f67694,plain,(
% 26.16/5.02 spl4009_133),
% 26.16/5.02 inference(avatar_split_clause,[],[f36990,f67691])).
% 26.16/5.02 tff(f67691,plain,(
% 26.16/5.02 spl4009_133 <=> linord715952674999750819strict(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_133])])).
% 26.16/5.02 tff(f36990,plain,(
% 26.16/5.02 linord715952674999750819strict(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9837])).
% 26.16/5.02 tff(f9837,axiom,(
% 26.16/5.02 linord715952674999750819strict(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Olinordered__semiring__1__strict_545)).
% 26.16/5.02 tff(f67689,plain,(
% 26.16/5.02 spl4009_132),
% 26.16/5.02 inference(avatar_split_clause,[],[f36989,f67686])).
% 26.16/5.02 tff(f67686,plain,(
% 26.16/5.02 spl4009_132 <=> linord6961819062388156250ring_1(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_132])])).
% 26.16/5.02 tff(f36989,plain,(
% 26.16/5.02 linord6961819062388156250ring_1(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9388])).
% 26.16/5.02 tff(f9388,axiom,(
% 26.16/5.02 linord6961819062388156250ring_1(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1_125)).
% 26.16/5.02 tff(f67684,plain,(
% 26.16/5.02 spl4009_131),
% 26.16/5.02 inference(avatar_split_clause,[],[f36988,f67681])).
% 26.16/5.02 tff(f67681,plain,(
% 26.16/5.02 spl4009_131 <=> linord715952674999750819strict(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_131])])).
% 26.16/5.02 tff(f36988,plain,(
% 26.16/5.02 linord715952674999750819strict(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9370])).
% 26.16/5.02 tff(f9370,axiom,(
% 26.16/5.02 linord715952674999750819strict(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Olinordered__semiring__1__strict_109)).
% 26.16/5.02 tff(f67679,plain,(
% 26.16/5.02 spl4009_130),
% 26.16/5.02 inference(avatar_split_clause,[],[f36987,f67676])).
% 26.16/5.02 tff(f67676,plain,(
% 26.16/5.02 spl4009_130 <=> ordered_ring_abs(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_130])])).
% 26.16/5.02 tff(f36987,plain,(
% 26.16/5.02 ordered_ring_abs(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9404])).
% 26.16/5.02 tff(f9404,axiom,(
% 26.16/5.02 ordered_ring_abs(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Rings_Oordered__ring__abs_139)).
% 26.16/5.02 tff(f67674,plain,(
% 26.16/5.02 spl4009_129),
% 26.16/5.02 inference(avatar_split_clause,[],[f36986,f67671])).
% 26.16/5.02 tff(f67671,plain,(
% 26.16/5.02 spl4009_129 <=> bit_se359711467146920520ations(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_129])])).
% 26.16/5.02 tff(f36986,plain,(
% 26.16/5.02 bit_se359711467146920520ations(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9278])).
% 26.16/5.02 tff(f9278,axiom,(
% 26.16/5.02 bit_se359711467146920520ations(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bit__operations_22)).
% 26.16/5.02 tff(f67669,plain,(
% 26.16/5.02 spl4009_128),
% 26.16/5.02 inference(avatar_split_clause,[],[f36985,f67666])).
% 26.16/5.02 tff(f67666,plain,(
% 26.16/5.02 spl4009_128 <=> bit_se359711467146920520ations(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_128])])).
% 26.16/5.02 tff(f36985,plain,(
% 26.16/5.02 bit_se359711467146920520ations(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9169])).
% 26.16/5.02 tff(f9169,axiom,(
% 26.16/5.02 bit_se359711467146920520ations(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bit__operations)).
% 26.16/5.02 tff(f67664,plain,(
% 26.16/5.02 spl4009_127),
% 26.16/5.02 inference(avatar_split_clause,[],[f36984,f67661])).
% 26.16/5.02 tff(f67661,plain,(
% 26.16/5.02 spl4009_127 <=> bit_se359711467146920520ations(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_127])])).
% 26.16/5.02 tff(f36984,plain,(
% 26.16/5.02 bit_se359711467146920520ations(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9833])).
% 26.16/5.02 tff(f9833,axiom,(
% 26.16/5.02 bit_se359711467146920520ations(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bit__operations_541)).
% 26.16/5.02 tff(f67659,plain,(
% 26.16/5.02 spl4009_126),
% 26.16/5.02 inference(avatar_split_clause,[],[f36983,f67656])).
% 26.16/5.02 tff(f67656,plain,(
% 26.16/5.02 spl4009_126 <=> bit_un5681908812861735899ations(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_126])])).
% 26.16/5.02 tff(f36983,plain,(
% 26.16/5.02 bit_un5681908812861735899ations(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9267])).
% 26.16/5.02 tff(f9267,axiom,(
% 26.16/5.02 bit_un5681908812861735899ations(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_12)).
% 26.16/5.02 tff(f67654,plain,(
% 26.16/5.02 spl4009_125),
% 26.16/5.02 inference(avatar_split_clause,[],[f36982,f67651])).
% 26.16/5.02 tff(f67651,plain,(
% 26.16/5.02 spl4009_125 <=> bit_un5681908812861735899ations(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_125])])).
% 26.16/5.02 tff(f36982,plain,(
% 26.16/5.02 bit_un5681908812861735899ations(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9157])).
% 26.16/5.02 tff(f9157,axiom,(
% 26.16/5.02 bit_un5681908812861735899ations(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations)).
% 26.16/5.02 tff(f67649,plain,(
% 26.16/5.02 spl4009_124),
% 26.16/5.02 inference(avatar_split_clause,[],[f36981,f67646])).
% 26.16/5.02 tff(f67646,plain,(
% 26.16/5.02 spl4009_124 <=> bit_un5681908812861735899ations(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_124])])).
% 26.16/5.02 tff(f36981,plain,(
% 26.16/5.02 bit_un5681908812861735899ations(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9821])).
% 26.16/5.02 tff(f9821,axiom,(
% 26.16/5.02 bit_un5681908812861735899ations(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Ounique__euclidean__semiring__with__bit__operations_529)).
% 26.16/5.02 tff(f67644,plain,(
% 26.16/5.02 spl4009_123),
% 26.16/5.02 inference(avatar_split_clause,[],[f36980,f67641])).
% 26.16/5.02 tff(f67641,plain,(
% 26.16/5.02 spl4009_123 <=> unique1627219031080169319umeral(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_123])])).
% 26.16/5.02 tff(f36980,plain,(
% 26.16/5.02 unique1627219031080169319umeral(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9273])).
% 26.16/5.02 tff(f9273,axiom,(
% 26.16/5.02 unique1627219031080169319umeral(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Divides_Ounique__euclidean__semiring__numeral_18)).
% 26.16/5.02 tff(f67639,plain,(
% 26.16/5.02 spl4009_122),
% 26.16/5.02 inference(avatar_split_clause,[],[f36979,f67636])).
% 26.16/5.02 tff(f67636,plain,(
% 26.16/5.02 spl4009_122 <=> field_char_0(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_122])])).
% 26.16/5.02 tff(f36979,plain,(
% 26.16/5.02 field_char_0(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9595])).
% 26.16/5.02 tff(f9595,axiom,(
% 26.16/5.02 field_char_0(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield__char__0_305)).
% 26.16/5.02 tff(f67634,plain,(
% 26.16/5.02 spl4009_121),
% 26.16/5.02 inference(avatar_split_clause,[],[f36978,f67631])).
% 26.16/5.02 tff(f67631,plain,(
% 26.16/5.02 spl4009_121 <=> unique1627219031080169319umeral(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_121])])).
% 26.16/5.02 tff(f36978,plain,(
% 26.16/5.02 unique1627219031080169319umeral(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9164])).
% 26.16/5.02 tff(f9164,axiom,(
% 26.16/5.02 unique1627219031080169319umeral(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Divides_Ounique__euclidean__semiring__numeral)).
% 26.16/5.02 tff(f67629,plain,(
% 26.16/5.02 spl4009_120),
% 26.16/5.02 inference(avatar_split_clause,[],[f36977,f67626])).
% 26.16/5.02 tff(f67626,plain,(
% 26.16/5.02 spl4009_120 <=> unique1627219031080169319umeral(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_120])])).
% 26.16/5.02 tff(f36977,plain,(
% 26.16/5.02 unique1627219031080169319umeral(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9828])).
% 26.16/5.02 tff(f9828,axiom,(
% 26.16/5.02 unique1627219031080169319umeral(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Divides_Ounique__euclidean__semiring__numeral_536)).
% 26.16/5.02 tff(f67624,plain,(
% 26.16/5.02 spl4009_119),
% 26.16/5.02 inference(avatar_split_clause,[],[f36976,f67621])).
% 26.16/5.02 tff(f67621,plain,(
% 26.16/5.02 spl4009_119 <=> field_char_0(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_119])])).
% 26.16/5.02 tff(f36976,plain,(
% 26.16/5.02 field_char_0(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9420])).
% 26.16/5.02 tff(f9420,axiom,(
% 26.16/5.02 field_char_0(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield__char__0)).
% 26.16/5.02 tff(f67619,plain,(
% 26.16/5.02 spl4009_118),
% 26.16/5.02 inference(avatar_split_clause,[],[f36975,f67616])).
% 26.16/5.02 tff(f67616,plain,(
% 26.16/5.02 spl4009_118 <=> field_char_0(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_118])])).
% 26.16/5.02 tff(f36975,plain,(
% 26.16/5.02 field_char_0(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9707])).
% 26.16/5.02 tff(f9707,axiom,(
% 26.16/5.02 field_char_0(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield__char__0_416)).
% 26.16/5.02 tff(f67614,plain,(
% 26.16/5.02 spl4009_117),
% 26.16/5.02 inference(avatar_split_clause,[],[f36974,f67611])).
% 26.16/5.02 tff(f67611,plain,(
% 26.16/5.02 spl4009_117 <=> bit_semiring_bits(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_117])])).
% 26.16/5.02 tff(f36974,plain,(
% 26.16/5.02 bit_semiring_bits(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9301])).
% 26.16/5.02 tff(f9301,axiom,(
% 26.16/5.02 bit_semiring_bits(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Bit__Operations_Osemiring__bits_44)).
% 26.16/5.02 tff(f67609,plain,(
% 26.16/5.02 spl4009_116),
% 26.16/5.02 inference(avatar_split_clause,[],[f36973,f67606])).
% 26.16/5.02 tff(f67606,plain,(
% 26.16/5.02 spl4009_116 <=> bit_semiring_bits(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_116])])).
% 26.16/5.02 tff(f36973,plain,(
% 26.16/5.02 bit_semiring_bits(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9197])).
% 26.16/5.02 tff(f9197,axiom,(
% 26.16/5.02 bit_semiring_bits(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Osemiring__bits)).
% 26.16/5.02 tff(f67604,plain,(
% 26.16/5.02 spl4009_115),
% 26.16/5.02 inference(avatar_split_clause,[],[f36972,f67601])).
% 26.16/5.02 tff(f67601,plain,(
% 26.16/5.02 spl4009_115 <=> bit_semiring_bits(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_115])])).
% 26.16/5.02 tff(f36972,plain,(
% 26.16/5.02 bit_semiring_bits(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9853])).
% 26.16/5.02 tff(f9853,axiom,(
% 26.16/5.02 bit_semiring_bits(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Osemiring__bits_561)).
% 26.16/5.02 tff(f67599,plain,(
% 26.16/5.02 spl4009_114),
% 26.16/5.02 inference(avatar_split_clause,[],[f36971,f67596])).
% 26.16/5.02 tff(f36971,plain,(
% 26.16/5.02 division_ring(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9590])).
% 26.16/5.02 tff(f9590,axiom,(
% 26.16/5.02 division_ring(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Odivision__ring_300)).
% 26.16/5.02 tff(f67594,plain,(
% 26.16/5.02 spl4009_113),
% 26.16/5.02 inference(avatar_split_clause,[],[f36970,f67591])).
% 26.16/5.02 tff(f36970,plain,(
% 26.16/5.02 division_ring(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9415])).
% 26.16/5.02 tff(f9415,axiom,(
% 26.16/5.02 division_ring(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Odivision__ring)).
% 26.16/5.02 tff(f67589,plain,(
% 26.16/5.02 spl4009_112),
% 26.16/5.02 inference(avatar_split_clause,[],[f36969,f67586])).
% 26.16/5.02 tff(f36969,plain,(
% 26.16/5.02 division_ring(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9703])).
% 26.16/5.02 tff(f9703,axiom,(
% 26.16/5.02 division_ring(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Odivision__ring_412)).
% 26.16/5.02 tff(f67584,plain,(
% 26.16/5.02 spl4009_111),
% 26.16/5.02 inference(avatar_split_clause,[],[f36968,f67581])).
% 26.16/5.02 tff(f67581,plain,(
% 26.16/5.02 spl4009_111 <=> semiring_parity(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_111])])).
% 26.16/5.02 tff(f36968,plain,(
% 26.16/5.02 semiring_parity(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9319])).
% 26.16/5.02 tff(f9319,axiom,(
% 26.16/5.02 semiring_parity(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Parity_Osemiring__parity_61)).
% 26.16/5.02 tff(f67579,plain,(
% 26.16/5.02 spl4009_110),
% 26.16/5.02 inference(avatar_split_clause,[],[f36967,f67576])).
% 26.16/5.02 tff(f67576,plain,(
% 26.16/5.02 spl4009_110 <=> semiring_parity(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_110])])).
% 26.16/5.02 tff(f36967,plain,(
% 26.16/5.02 semiring_parity(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9217])).
% 26.16/5.02 tff(f9217,axiom,(
% 26.16/5.02 semiring_parity(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Osemiring__parity)).
% 26.16/5.02 tff(f67574,plain,(
% 26.16/5.02 spl4009_109),
% 26.16/5.02 inference(avatar_split_clause,[],[f36966,f67571])).
% 26.16/5.02 tff(f67571,plain,(
% 26.16/5.02 spl4009_109 <=> semiring_parity(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_109])])).
% 26.16/5.02 tff(f36966,plain,(
% 26.16/5.02 semiring_parity(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9868])).
% 26.16/5.02 tff(f9868,axiom,(
% 26.16/5.02 semiring_parity(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Osemiring__parity_576)).
% 26.16/5.02 tff(f67569,plain,(
% 26.16/5.02 spl4009_108),
% 26.16/5.02 inference(avatar_split_clause,[],[f36965,f67566])).
% 26.16/5.02 tff(f67566,plain,(
% 26.16/5.02 spl4009_108 <=> euclid4440199948858584721cancel(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_108])])).
% 26.16/5.02 tff(f36965,plain,(
% 26.16/5.02 euclid4440199948858584721cancel(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9272])).
% 26.16/5.02 tff(f9272,axiom,(
% 26.16/5.02 euclid4440199948858584721cancel(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Oeuclidean__semiring__cancel_17)).
% 26.16/5.02 tff(f67564,plain,(
% 26.16/5.02 spl4009_107),
% 26.16/5.02 inference(avatar_split_clause,[],[f36964,f67561])).
% 26.16/5.02 tff(f67561,plain,(
% 26.16/5.02 spl4009_107 <=> euclid4440199948858584721cancel(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_107])])).
% 26.16/5.02 tff(f36964,plain,(
% 26.16/5.02 euclid4440199948858584721cancel(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9163])).
% 26.16/5.02 tff(f9163,axiom,(
% 26.16/5.02 euclid4440199948858584721cancel(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__semiring__cancel)).
% 26.16/5.02 tff(f67559,plain,(
% 26.16/5.02 spl4009_106),
% 26.16/5.02 inference(avatar_split_clause,[],[f36963,f67556])).
% 26.16/5.02 tff(f67556,plain,(
% 26.16/5.02 spl4009_106 <=> euclid4440199948858584721cancel(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_106])])).
% 26.16/5.02 tff(f36963,plain,(
% 26.16/5.02 euclid4440199948858584721cancel(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9827])).
% 26.16/5.02 tff(f9827,axiom,(
% 26.16/5.02 euclid4440199948858584721cancel(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__semiring__cancel_535)).
% 26.16/5.02 tff(f67554,plain,(
% 26.16/5.02 spl4009_105),
% 26.16/5.02 inference(avatar_split_clause,[],[f36962,f67551])).
% 26.16/5.02 tff(f67551,plain,(
% 26.16/5.02 spl4009_105 <=> euclid5411537665997757685th_nat(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_105])])).
% 26.16/5.02 tff(f36962,plain,(
% 26.16/5.02 euclid5411537665997757685th_nat(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9269])).
% 26.16/5.02 tff(f9269,axiom,(
% 26.16/5.02 euclid5411537665997757685th_nat(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring__with__nat_14)).
% 26.16/5.02 tff(f67549,plain,(
% 26.16/5.02 spl4009_104),
% 26.16/5.02 inference(avatar_split_clause,[],[f36961,f67546])).
% 26.16/5.02 tff(f67546,plain,(
% 26.16/5.02 spl4009_104 <=> wellorder(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_104])])).
% 26.16/5.02 tff(f36961,plain,(
% 26.16/5.02 wellorder(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9331])).
% 26.16/5.02 tff(f9331,axiom,(
% 26.16/5.02 wellorder(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Owellorder)).
% 26.16/5.02 tff(f67544,plain,(
% 26.16/5.02 spl4009_103),
% 26.16/5.02 inference(avatar_split_clause,[],[f36960,f67541])).
% 26.16/5.02 tff(f67541,plain,(
% 26.16/5.02 spl4009_103 <=> euclid5411537665997757685th_nat(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_103])])).
% 26.16/5.02 tff(f36960,plain,(
% 26.16/5.02 euclid5411537665997757685th_nat(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9159])).
% 26.16/5.02 tff(f9159,axiom,(
% 26.16/5.02 euclid5411537665997757685th_nat(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring__with__nat)).
% 26.16/5.02 tff(f67539,plain,(
% 26.16/5.02 spl4009_102),
% 26.16/5.02 inference(avatar_split_clause,[],[f36959,f67536])).
% 26.16/5.02 tff(f67536,plain,(
% 26.16/5.02 spl4009_102 <=> euclid5411537665997757685th_nat(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_102])])).
% 26.16/5.02 tff(f36959,plain,(
% 26.16/5.02 euclid5411537665997757685th_nat(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9823])).
% 26.16/5.02 tff(f9823,axiom,(
% 26.16/5.02 euclid5411537665997757685th_nat(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring__with__nat_531)).
% 26.16/5.02 tff(f67534,plain,(
% 26.16/5.02 spl4009_101),
% 26.16/5.02 inference(avatar_split_clause,[],[f36958,f67531])).
% 26.16/5.02 tff(f67531,plain,(
% 26.16/5.02 spl4009_101 <=> wellorder(extended_enat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_101])])).
% 26.16/5.02 tff(f36958,plain,(
% 26.16/5.02 wellorder(extended_enat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9766])).
% 26.16/5.02 tff(f9766,axiom,(
% 26.16/5.02 wellorder(extended_enat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Orderings_Owellorder_474)).
% 26.16/5.02 tff(f67529,plain,(
% 26.16/5.02 spl4009_100),
% 26.16/5.02 inference(avatar_split_clause,[],[f36957,f67526])).
% 26.16/5.02 tff(f67526,plain,(
% 26.16/5.02 spl4009_100 <=> wellorder(product_unit)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_100])])).
% 26.16/5.02 tff(f36957,plain,(
% 26.16/5.02 wellorder(product_unit)),
% 26.16/5.02 inference(cnf_transformation,[],[f9809])).
% 26.16/5.02 tff(f9809,axiom,(
% 26.16/5.02 wellorder(product_unit)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Orderings_Owellorder_517)).
% 26.16/5.02 tff(f67524,plain,(
% 26.16/5.02 spl4009_99),
% 26.16/5.02 inference(avatar_split_clause,[],[f36956,f67521])).
% 26.16/5.02 tff(f67521,plain,(
% 26.16/5.02 spl4009_99 <=> field(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_99])])).
% 26.16/5.02 tff(f36956,plain,(
% 26.16/5.02 field(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9618])).
% 26.16/5.02 tff(f9618,axiom,(
% 26.16/5.02 field(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Ofield_327)).
% 26.16/5.02 tff(f67519,plain,(
% 26.16/5.02 spl4009_98),
% 26.16/5.02 inference(avatar_split_clause,[],[f36955,f67516])).
% 26.16/5.02 tff(f67516,plain,(
% 26.16/5.02 spl4009_98 <=> field(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_98])])).
% 26.16/5.02 tff(f36955,plain,(
% 26.16/5.02 field(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9442])).
% 26.16/5.02 tff(f9442,axiom,(
% 26.16/5.02 field(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Ofield)).
% 26.16/5.02 tff(f67514,plain,(
% 26.16/5.02 spl4009_97),
% 26.16/5.02 inference(avatar_split_clause,[],[f36954,f67511])).
% 26.16/5.02 tff(f67511,plain,(
% 26.16/5.02 spl4009_97 <=> field(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_97])])).
% 26.16/5.02 tff(f36954,plain,(
% 26.16/5.02 field(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9721])).
% 26.16/5.02 tff(f9721,axiom,(
% 26.16/5.02 field(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Ofield_430)).
% 26.16/5.02 tff(f67509,plain,(
% 26.16/5.02 spl4009_96),
% 26.16/5.02 inference(avatar_split_clause,[],[f36953,f67506])).
% 26.16/5.02 tff(f67506,plain,(
% 26.16/5.02 spl4009_96 <=> no_bot(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_96])])).
% 26.16/5.02 tff(f36953,plain,(
% 26.16/5.02 no_bot(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9606])).
% 26.16/5.02 tff(f9606,axiom,(
% 26.16/5.02 no_bot(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ono__bot_315)).
% 26.16/5.02 tff(f67504,plain,(
% 26.16/5.02 spl4009_95),
% 26.16/5.02 inference(avatar_split_clause,[],[f36952,f67501])).
% 26.16/5.02 tff(f67501,plain,(
% 26.16/5.02 spl4009_95 <=> no_bot(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_95])])).
% 26.16/5.02 tff(f36952,plain,(
% 26.16/5.02 no_bot(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9243])).
% 26.16/5.02 tff(f9243,axiom,(
% 26.16/5.02 no_bot(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Orderings_Ono__bot)).
% 26.16/5.02 tff(f67499,plain,(
% 26.16/5.02 spl4009_94),
% 26.16/5.02 inference(avatar_split_clause,[],[f36951,f67496])).
% 26.16/5.02 tff(f67496,plain,(
% 26.16/5.02 spl4009_94 <=> no_bot(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_94])])).
% 26.16/5.02 tff(f36951,plain,(
% 26.16/5.02 no_bot(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9430])).
% 26.16/5.02 tff(f9430,axiom,(
% 26.16/5.02 no_bot(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ono__bot_162)).
% 26.16/5.02 tff(f67494,plain,(
% 26.16/5.02 spl4009_93),
% 26.16/5.02 inference(avatar_split_clause,[],[f36950,f67491])).
% 26.16/5.02 tff(f67491,plain,(
% 26.16/5.02 spl4009_93 <=> inverse(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_93])])).
% 26.16/5.02 tff(f36950,plain,(
% 26.16/5.02 inverse(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9614])).
% 26.16/5.02 tff(f9614,axiom,(
% 26.16/5.02 inverse(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Oinverse_323)).
% 26.16/5.02 tff(f67489,plain,(
% 26.16/5.02 spl4009_92),
% 26.16/5.02 inference(avatar_split_clause,[],[f36949,f67486])).
% 26.16/5.02 tff(f67486,plain,(
% 26.16/5.02 spl4009_92 <=> inverse(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_92])])).
% 26.16/5.02 tff(f36949,plain,(
% 26.16/5.02 inverse(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9438])).
% 26.16/5.02 tff(f9438,axiom,(
% 26.16/5.02 inverse(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Oinverse)).
% 26.16/5.02 tff(f67484,plain,(
% 26.16/5.02 spl4009_91),
% 26.16/5.02 inference(avatar_split_clause,[],[f36948,f67481])).
% 26.16/5.02 tff(f67481,plain,(
% 26.16/5.02 spl4009_91 <=> inverse(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_91])])).
% 26.16/5.02 tff(f36948,plain,(
% 26.16/5.02 inverse(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9718])).
% 26.16/5.02 tff(f9718,axiom,(
% 26.16/5.02 inverse(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Fields_Oinverse_427)).
% 26.16/5.02 tff(f67479,plain,(
% 26.16/5.02 spl4009_90),
% 26.16/5.02 inference(avatar_split_clause,[],[f36947,f67476])).
% 26.16/5.02 tff(f67476,plain,(
% 26.16/5.02 spl4009_90 <=> semiring_modulo(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_90])])).
% 26.16/5.02 tff(f36947,plain,(
% 26.16/5.02 semiring_modulo(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9321])).
% 26.16/5.02 tff(f9321,axiom,(
% 26.16/5.02 semiring_modulo(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemiring__modulo_63)).
% 26.16/5.02 tff(f67474,plain,(
% 26.16/5.02 spl4009_89),
% 26.16/5.02 inference(avatar_split_clause,[],[f36946,f67471])).
% 26.16/5.02 tff(f67471,plain,(
% 26.16/5.02 spl4009_89 <=> semiring_modulo(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_89])])).
% 26.16/5.02 tff(f36946,plain,(
% 26.16/5.02 semiring_modulo(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9219])).
% 26.16/5.02 tff(f9219,axiom,(
% 26.16/5.02 semiring_modulo(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemiring__modulo)).
% 26.16/5.02 tff(f67469,plain,(
% 26.16/5.02 spl4009_88),
% 26.16/5.02 inference(avatar_split_clause,[],[f36945,f67466])).
% 26.16/5.02 tff(f67466,plain,(
% 26.16/5.02 spl4009_88 <=> semiring_modulo(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_88])])).
% 26.16/5.02 tff(f36945,plain,(
% 26.16/5.02 semiring_modulo(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9870])).
% 26.16/5.02 tff(f9870,axiom,(
% 26.16/5.02 semiring_modulo(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemiring__modulo_578)).
% 26.16/5.02 tff(f67464,plain,(
% 26.16/5.02 spl4009_87),
% 26.16/5.02 inference(avatar_split_clause,[],[f36944,f67461])).
% 26.16/5.02 tff(f67461,plain,(
% 26.16/5.02 spl4009_87 <=> algebraic_semidom(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_87])])).
% 26.16/5.02 tff(f36944,plain,(
% 26.16/5.02 algebraic_semidom(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9314])).
% 26.16/5.02 tff(f9314,axiom,(
% 26.16/5.02 algebraic_semidom(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Oalgebraic__semidom_57)).
% 26.16/5.02 tff(f67459,plain,(
% 26.16/5.02 spl4009_86),
% 26.16/5.02 inference(avatar_split_clause,[],[f36943,f67456])).
% 26.16/5.02 tff(f67456,plain,(
% 26.16/5.02 spl4009_86 <=> algebraic_semidom(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_86])])).
% 26.16/5.02 tff(f36943,plain,(
% 26.16/5.02 algebraic_semidom(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9212])).
% 26.16/5.02 tff(f9212,axiom,(
% 26.16/5.02 algebraic_semidom(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Oalgebraic__semidom)).
% 26.16/5.02 tff(f67454,plain,(
% 26.16/5.02 spl4009_85),
% 26.16/5.02 inference(avatar_split_clause,[],[f36942,f67451])).
% 26.16/5.02 tff(f67451,plain,(
% 26.16/5.02 spl4009_85 <=> algebraic_semidom(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_85])])).
% 26.16/5.02 tff(f36942,plain,(
% 26.16/5.02 algebraic_semidom(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9863])).
% 26.16/5.02 tff(f9863,axiom,(
% 26.16/5.02 algebraic_semidom(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Oalgebraic__semidom_571)).
% 26.16/5.02 tff(f67449,plain,(
% 26.16/5.02 spl4009_84),
% 26.16/5.02 inference(avatar_split_clause,[],[f36941,f67446])).
% 26.16/5.02 tff(f67446,plain,(
% 26.16/5.02 spl4009_84 <=> semidom_modulo(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_84])])).
% 26.16/5.02 tff(f36941,plain,(
% 26.16/5.02 semidom_modulo(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9325])).
% 26.16/5.02 tff(f9325,axiom,(
% 26.16/5.02 semidom_modulo(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Osemidom__modulo_67)).
% 26.16/5.02 tff(f67444,plain,(
% 26.16/5.02 spl4009_83),
% 26.16/5.02 inference(avatar_split_clause,[],[f36940,f67441])).
% 26.16/5.02 tff(f67441,plain,(
% 26.16/5.02 spl4009_83 <=> semidom_modulo(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_83])])).
% 26.16/5.02 tff(f36940,plain,(
% 26.16/5.02 semidom_modulo(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9225])).
% 26.16/5.02 tff(f9225,axiom,(
% 26.16/5.02 semidom_modulo(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Rings_Osemidom__modulo)).
% 26.16/5.02 tff(f67439,plain,(
% 26.16/5.02 spl4009_82),
% 26.16/5.02 inference(avatar_split_clause,[],[f36939,f67436])).
% 26.16/5.02 tff(f67436,plain,(
% 26.16/5.02 spl4009_82 <=> semidom_modulo(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_82])])).
% 26.16/5.02 tff(f36939,plain,(
% 26.16/5.02 semidom_modulo(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9876])).
% 26.16/5.02 tff(f9876,axiom,(
% 26.16/5.02 semidom_modulo(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Rings_Osemidom__modulo_584)).
% 26.16/5.02 tff(f67434,plain,(
% 26.16/5.02 spl4009_81),
% 26.16/5.02 inference(avatar_split_clause,[],[f36938,f67431])).
% 26.16/5.02 tff(f67431,plain,(
% 26.16/5.02 spl4009_81 <=> euclid3128863361964157862miring(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_81])])).
% 26.16/5.02 tff(f36938,plain,(
% 26.16/5.02 euclid3128863361964157862miring(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9271])).
% 26.16/5.02 tff(f9271,axiom,(
% 26.16/5.02 euclid3128863361964157862miring(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Euclidean__Division_Ounique__euclidean__semiring_16)).
% 26.16/5.02 tff(f67429,plain,(
% 26.16/5.02 spl4009_80),
% 26.16/5.02 inference(avatar_split_clause,[],[f36937,f67426])).
% 26.16/5.02 tff(f67426,plain,(
% 26.16/5.02 spl4009_80 <=> euclid3128863361964157862miring(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_80])])).
% 26.16/5.02 tff(f36937,plain,(
% 26.16/5.02 euclid3128863361964157862miring(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9162])).
% 26.16/5.02 tff(f9162,axiom,(
% 26.16/5.02 euclid3128863361964157862miring(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__semiring)).
% 26.16/5.02 tff(f67424,plain,(
% 26.16/5.02 spl4009_79),
% 26.16/5.02 inference(avatar_split_clause,[],[f36936,f67421])).
% 26.16/5.02 tff(f67421,plain,(
% 26.16/5.02 spl4009_79 <=> euclid3128863361964157862miring(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_79])])).
% 26.16/5.02 tff(f36936,plain,(
% 26.16/5.02 euclid3128863361964157862miring(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9826])).
% 26.16/5.02 tff(f9826,axiom,(
% 26.16/5.02 euclid3128863361964157862miring(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__semiring_534)).
% 26.16/5.02 tff(f67419,plain,(
% 26.16/5.02 spl4009_78),
% 26.16/5.02 inference(avatar_split_clause,[],[f36935,f67416])).
% 26.16/5.02 tff(f67416,plain,(
% 26.16/5.02 spl4009_78 <=> topolo8865339358273720382pology(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_78])])).
% 26.16/5.02 tff(f36935,plain,(
% 26.16/5.02 topolo8865339358273720382pology(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9285])).
% 26.16/5.02 tff(f9285,axiom,(
% 26.16/5.02 topolo8865339358273720382pology(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Topological__Spaces_Odiscrete__topology_28)).
% 26.16/5.02 tff(f67414,plain,(
% 26.16/5.02 spl4009_77),
% 26.16/5.02 inference(avatar_split_clause,[],[f36934,f67411])).
% 26.16/5.02 tff(f67411,plain,(
% 26.16/5.02 spl4009_77 <=> topolo8865339358273720382pology(bool)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_77])])).
% 26.16/5.02 tff(f36934,plain,(
% 26.16/5.02 topolo8865339358273720382pology(bool)),
% 26.16/5.02 inference(cnf_transformation,[],[f9481])).
% 26.16/5.02 tff(f9481,axiom,(
% 26.16/5.02 topolo8865339358273720382pology(bool)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_HOL_Obool___Topological__Spaces_Odiscrete__topology_211)).
% 26.16/5.02 tff(f67409,plain,(
% 26.16/5.02 spl4009_76),
% 26.16/5.02 inference(avatar_split_clause,[],[f36933,f67406])).
% 26.16/5.02 tff(f67406,plain,(
% 26.16/5.02 spl4009_76 <=> topolo8865339358273720382pology(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_76])])).
% 26.16/5.02 tff(f36933,plain,(
% 26.16/5.02 topolo8865339358273720382pology(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9175])).
% 26.16/5.02 tff(f9175,axiom,(
% 26.16/5.02 topolo8865339358273720382pology(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Topological__Spaces_Odiscrete__topology)).
% 26.16/5.02 tff(f67404,plain,(
% 26.16/5.02 spl4009_75),
% 26.16/5.02 inference(avatar_split_clause,[],[f36932,f67401])).
% 26.16/5.02 tff(f36932,plain,(
% 26.16/5.02 real_V822414075346904944vector(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9521])).
% 26.16/5.02 tff(f9521,axiom,(
% 26.16/5.02 real_V822414075346904944vector(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__vector)).
% 26.16/5.02 tff(f67399,plain,(
% 26.16/5.02 spl4009_74),
% 26.16/5.02 inference(avatar_split_clause,[],[f36931,f67396])).
% 26.16/5.02 tff(f36931,plain,(
% 26.16/5.02 real_V822414075346904944vector(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9666])).
% 26.16/5.02 tff(f9666,axiom,(
% 26.16/5.02 real_V822414075346904944vector(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__vector_375)).
% 26.16/5.02 tff(f67394,plain,(
% 26.16/5.02 spl4009_73),
% 26.16/5.02 inference(avatar_split_clause,[],[f36930,f67391])).
% 26.16/5.02 tff(f67391,plain,(
% 26.16/5.02 spl4009_73 <=> real_Vector_banach(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_73])])).
% 26.16/5.02 tff(f36930,plain,(
% 26.16/5.02 real_Vector_banach(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9566])).
% 26.16/5.02 tff(f9566,axiom,(
% 26.16/5.02 real_Vector_banach(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Obanach)).
% 26.16/5.02 tff(f67389,plain,(
% 26.16/5.02 spl4009_72),
% 26.16/5.02 inference(avatar_split_clause,[],[f36929,f67386])).
% 26.16/5.02 tff(f67386,plain,(
% 26.16/5.02 spl4009_72 <=> real_Vector_banach(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_72])])).
% 26.16/5.02 tff(f36929,plain,(
% 26.16/5.02 real_Vector_banach(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9691])).
% 26.16/5.02 tff(f9691,axiom,(
% 26.16/5.02 real_Vector_banach(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Obanach_400)).
% 26.16/5.02 tff(f67384,plain,(
% 26.16/5.02 spl4009_71),
% 26.16/5.02 inference(avatar_split_clause,[],[f36928,f67381])).
% 26.16/5.02 tff(f67381,plain,(
% 26.16/5.02 spl4009_71 <=> real_V3459762299906320749_field(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_71])])).
% 26.16/5.02 tff(f36928,plain,(
% 26.16/5.02 real_V3459762299906320749_field(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9526])).
% 26.16/5.02 tff(f9526,axiom,(
% 26.16/5.02 real_V3459762299906320749_field(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__field)).
% 26.16/5.02 tff(f67379,plain,(
% 26.16/5.02 spl4009_70),
% 26.16/5.02 inference(avatar_split_clause,[],[f36927,f67376])).
% 26.16/5.02 tff(f67376,plain,(
% 26.16/5.02 spl4009_70 <=> real_V3459762299906320749_field(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_70])])).
% 26.16/5.02 tff(f36927,plain,(
% 26.16/5.02 real_V3459762299906320749_field(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9668])).
% 26.16/5.02 tff(f9668,axiom,(
% 26.16/5.02 real_V3459762299906320749_field(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__field_377)).
% 26.16/5.02 tff(f67374,plain,(
% 26.16/5.02 spl4009_69),
% 26.16/5.02 inference(avatar_split_clause,[],[f36926,f67371])).
% 26.16/5.02 tff(f36926,plain,(
% 26.16/5.02 linordered_field(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9577])).
% 26.16/5.02 tff(f9577,axiom,(
% 26.16/5.02 linordered_field(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Fields_Olinordered__field_287)).
% 26.16/5.02 tff(f67369,plain,(
% 26.16/5.02 spl4009_68),
% 26.16/5.02 inference(avatar_split_clause,[],[f36925,f67366])).
% 26.16/5.02 tff(f36925,plain,(
% 26.16/5.02 linordered_field(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9402])).
% 26.16/5.02 tff(f9402,axiom,(
% 26.16/5.02 linordered_field(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Fields_Olinordered__field)).
% 26.16/5.02 tff(f67364,plain,(
% 26.16/5.02 spl4009_67),
% 26.16/5.02 inference(avatar_split_clause,[],[f36924,f67361])).
% 26.16/5.02 tff(f67361,plain,(
% 26.16/5.02 spl4009_67 <=> archim2362893244070406136eiling(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_67])])).
% 26.16/5.02 tff(f36924,plain,(
% 26.16/5.02 archim2362893244070406136eiling(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9547])).
% 26.16/5.02 tff(f9547,axiom,(
% 26.16/5.02 archim2362893244070406136eiling(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Ofloor__ceiling_261)).
% 26.16/5.02 tff(f67359,plain,(
% 26.16/5.02 spl4009_66),
% 26.16/5.02 inference(avatar_split_clause,[],[f36923,f67356])).
% 26.16/5.02 tff(f67356,plain,(
% 26.16/5.02 spl4009_66 <=> archim2362893244070406136eiling(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_66])])).
% 26.16/5.02 tff(f36923,plain,(
% 26.16/5.02 archim2362893244070406136eiling(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9379])).
% 26.16/5.02 tff(f9379,axiom,(
% 26.16/5.02 archim2362893244070406136eiling(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Ofloor__ceiling)).
% 26.16/5.02 tff(f67354,plain,(
% 26.16/5.02 spl4009_65),
% 26.16/5.02 inference(avatar_split_clause,[],[f36922,f67351])).
% 26.16/5.02 tff(f36922,plain,(
% 26.16/5.02 real_V4867850818363320053vector(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9548])).
% 26.16/5.02 tff(f9548,axiom,(
% 26.16/5.02 real_V4867850818363320053vector(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__vector)).
% 26.16/5.02 tff(f67349,plain,(
% 26.16/5.02 spl4009_64),
% 26.16/5.02 inference(avatar_split_clause,[],[f36921,f67346])).
% 26.16/5.02 tff(f36921,plain,(
% 26.16/5.02 real_V4867850818363320053vector(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9680])).
% 26.16/5.02 tff(f9680,axiom,(
% 26.16/5.02 real_V4867850818363320053vector(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__vector_389)).
% 26.16/5.02 tff(f67344,plain,(
% 26.16/5.02 spl4009_63),
% 26.16/5.02 inference(avatar_split_clause,[],[f36920,f67341])).
% 26.16/5.02 tff(f67341,plain,(
% 26.16/5.02 spl4009_63 <=> real_V2822296259951069270ebra_1(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_63])])).
% 26.16/5.02 tff(f36920,plain,(
% 26.16/5.02 real_V2822296259951069270ebra_1(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9514])).
% 26.16/5.02 tff(f9514,axiom,(
% 26.16/5.02 real_V2822296259951069270ebra_1(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra__1)).
% 26.16/5.02 tff(f67339,plain,(
% 26.16/5.02 spl4009_62),
% 26.16/5.02 inference(avatar_split_clause,[],[f36919,f67336])).
% 26.16/5.02 tff(f67336,plain,(
% 26.16/5.02 spl4009_62 <=> real_V2822296259951069270ebra_1(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_62])])).
% 26.16/5.02 tff(f36919,plain,(
% 26.16/5.02 real_V2822296259951069270ebra_1(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9664])).
% 26.16/5.02 tff(f9664,axiom,(
% 26.16/5.02 real_V2822296259951069270ebra_1(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra__1_373)).
% 26.16/5.02 tff(f67334,plain,(
% 26.16/5.02 spl4009_61),
% 26.16/5.02 inference(avatar_split_clause,[],[f36918,f67331])).
% 26.16/5.02 tff(f67331,plain,(
% 26.16/5.02 spl4009_61 <=> real_V8999393235501362500lgebra(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_61])])).
% 26.16/5.02 tff(f36918,plain,(
% 26.16/5.02 real_V8999393235501362500lgebra(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9513])).
% 26.16/5.02 tff(f9513,axiom,(
% 26.16/5.02 real_V8999393235501362500lgebra(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__div__algebra)).
% 26.16/5.02 tff(f67329,plain,(
% 26.16/5.02 spl4009_60),
% 26.16/5.02 inference(avatar_split_clause,[],[f36917,f67326])).
% 26.16/5.02 tff(f67326,plain,(
% 26.16/5.02 spl4009_60 <=> real_V8999393235501362500lgebra(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_60])])).
% 26.16/5.02 tff(f36917,plain,(
% 26.16/5.02 real_V8999393235501362500lgebra(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9663])).
% 26.16/5.02 tff(f9663,axiom,(
% 26.16/5.02 real_V8999393235501362500lgebra(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__div__algebra_372)).
% 26.16/5.02 tff(f67324,plain,(
% 26.16/5.02 spl4009_59),
% 26.16/5.02 inference(avatar_split_clause,[],[f36916,f67321])).
% 26.16/5.02 tff(f67321,plain,(
% 26.16/5.02 spl4009_59 <=> bit_ri3973907225187159222ations(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_59])])).
% 26.16/5.02 tff(f36916,plain,(
% 26.16/5.02 bit_ri3973907225187159222ations(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9179])).
% 26.16/5.02 tff(f9179,axiom,(
% 26.16/5.02 bit_ri3973907225187159222ations(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Bit__Operations_Oring__bit__operations)).
% 26.16/5.02 tff(f67319,plain,(
% 26.16/5.02 spl4009_58),
% 26.16/5.02 inference(avatar_split_clause,[],[f36915,f67316])).
% 26.16/5.02 tff(f67316,plain,(
% 26.16/5.02 spl4009_58 <=> bit_ri3973907225187159222ations(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_58])])).
% 26.16/5.02 tff(f36915,plain,(
% 26.16/5.02 bit_ri3973907225187159222ations(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9839])).
% 26.16/5.02 tff(f9839,axiom,(
% 26.16/5.02 bit_ri3973907225187159222ations(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Bit__Operations_Oring__bit__operations_547)).
% 26.16/5.02 tff(f67314,plain,(
% 26.16/5.02 spl4009_57),
% 26.16/5.02 inference(avatar_split_clause,[],[f36914,f67311])).
% 26.16/5.02 tff(f36914,plain,(
% 26.16/5.02 topolo7287701948861334536_space(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9539])).
% 26.16/5.02 tff(f9539,axiom,(
% 26.16/5.02 topolo7287701948861334536_space(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ouniform__space)).
% 26.16/5.02 tff(f67309,plain,(
% 26.16/5.02 spl4009_56),
% 26.16/5.02 inference(avatar_split_clause,[],[f36913,f67306])).
% 26.16/5.02 tff(f36913,plain,(
% 26.16/5.02 topolo7287701948861334536_space(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9675])).
% 26.16/5.02 tff(f9675,axiom,(
% 26.16/5.02 topolo7287701948861334536_space(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ouniform__space_384)).
% 26.16/5.02 tff(f67304,plain,(
% 26.16/5.02 spl4009_55),
% 26.16/5.02 inference(avatar_split_clause,[],[f36912,f67301])).
% 26.16/5.02 tff(f36912,plain,(
% 26.16/5.02 real_V7819770556892013058_space(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9543])).
% 26.16/5.02 tff(f9543,axiom,(
% 26.16/5.02 real_V7819770556892013058_space(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ometric__space)).
% 26.16/5.02 tff(f67299,plain,(
% 26.16/5.02 spl4009_54),
% 26.16/5.02 inference(avatar_split_clause,[],[f36911,f67296])).
% 26.16/5.02 tff(f36911,plain,(
% 26.16/5.02 real_V7819770556892013058_space(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9678])).
% 26.16/5.02 tff(f9678,axiom,(
% 26.16/5.02 real_V7819770556892013058_space(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ometric__space_387)).
% 26.16/5.02 tff(f67294,plain,(
% 26.16/5.02 spl4009_53),
% 26.16/5.02 inference(avatar_split_clause,[],[f36910,f67291])).
% 26.16/5.02 tff(f67291,plain,(
% 26.16/5.02 spl4009_53 <=> dense_linorder(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_53])])).
% 26.16/5.02 tff(f36910,plain,(
% 26.16/5.02 dense_linorder(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9569])).
% 26.16/5.02 tff(f9569,axiom,(
% 26.16/5.02 dense_linorder(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__linorder_279)).
% 26.16/5.02 tff(f67289,plain,(
% 26.16/5.02 spl4009_52),
% 26.16/5.02 inference(avatar_split_clause,[],[f36909,f67286])).
% 26.16/5.02 tff(f67286,plain,(
% 26.16/5.02 spl4009_52 <=> dense_linorder(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_52])])).
% 26.16/5.02 tff(f36909,plain,(
% 26.16/5.02 dense_linorder(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9394])).
% 26.16/5.02 tff(f9394,axiom,(
% 26.16/5.02 dense_linorder(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__linorder)).
% 26.16/5.02 tff(f67284,plain,(
% 26.16/5.02 spl4009_51),
% 26.16/5.02 inference(avatar_split_clause,[],[f36908,f67281])).
% 26.16/5.02 tff(f67281,plain,(
% 26.16/5.02 spl4009_51 <=> semiring_gcd(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_51])])).
% 26.16/5.02 tff(f36908,plain,(
% 26.16/5.02 semiring_gcd(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9342])).
% 26.16/5.02 tff(f9342,axiom,(
% 26.16/5.02 semiring_gcd(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd_83)).
% 26.16/5.02 tff(f67279,plain,(
% 26.16/5.02 spl4009_50),
% 26.16/5.02 inference(avatar_split_clause,[],[f36907,f67276])).
% 26.16/5.02 tff(f67276,plain,(
% 26.16/5.02 spl4009_50 <=> canoni5634975068530333245id_add(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_50])])).
% 26.16/5.02 tff(f36907,plain,(
% 26.16/5.02 canoni5634975068530333245id_add(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9282])).
% 26.16/5.02 tff(f9282,axiom,(
% 26.16/5.02 canoni5634975068530333245id_add(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocanonically__ordered__monoid__add)).
% 26.16/5.02 tff(f67274,plain,(
% 26.16/5.02 spl4009_49),
% 26.16/5.02 inference(avatar_split_clause,[],[f36906,f67271])).
% 26.16/5.02 tff(f67271,plain,(
% 26.16/5.02 spl4009_49 <=> semiring_gcd(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_49])])).
% 26.16/5.02 tff(f36906,plain,(
% 26.16/5.02 semiring_gcd(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9246])).
% 26.16/5.02 tff(f9246,axiom,(
% 26.16/5.02 semiring_gcd(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd)).
% 26.16/5.02 tff(f67269,plain,(
% 26.16/5.02 spl4009_48),
% 26.16/5.02 inference(avatar_split_clause,[],[f36905,f67266])).
% 26.16/5.02 tff(f67266,plain,(
% 26.16/5.02 spl4009_48 <=> canoni5634975068530333245id_add(extended_enat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_48])])).
% 26.16/5.02 tff(f36905,plain,(
% 26.16/5.02 canoni5634975068530333245id_add(extended_enat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9737])).
% 26.16/5.02 tff(f9737,axiom,(
% 26.16/5.02 canoni5634975068530333245id_add(extended_enat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Groups_Ocanonically__ordered__monoid__add_446)).
% 26.16/5.02 tff(f67264,plain,(
% 26.16/5.02 spl4009_47),
% 26.16/5.02 inference(avatar_split_clause,[],[f36904,f67261])).
% 26.16/5.02 tff(f67261,plain,(
% 26.16/5.02 spl4009_47 <=> comple5582772986160207858norder(extended_enat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_47])])).
% 26.16/5.02 tff(f36904,plain,(
% 26.16/5.02 comple5582772986160207858norder(extended_enat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9740])).
% 26.16/5.02 tff(f9740,axiom,(
% 26.16/5.02 comple5582772986160207858norder(extended_enat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Extended__Nat_Oenat___Complete__Lattices_Ocomplete__linorder)).
% 26.16/5.02 tff(f67259,plain,(
% 26.16/5.02 spl4009_46),
% 26.16/5.02 inference(avatar_split_clause,[],[f36903,f67256])).
% 26.16/5.02 tff(f67256,plain,(
% 26.16/5.02 spl4009_46 <=> comple5582772986160207858norder(product_unit)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_46])])).
% 26.16/5.02 tff(f36903,plain,(
% 26.16/5.02 comple5582772986160207858norder(product_unit)),
% 26.16/5.02 inference(cnf_transformation,[],[f9800])).
% 26.16/5.02 tff(f9800,axiom,(
% 26.16/5.02 comple5582772986160207858norder(product_unit)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Product__Type_Ounit___Complete__Lattices_Ocomplete__linorder_508)).
% 26.16/5.02 tff(f67254,plain,(
% 26.16/5.02 spl4009_45),
% 26.16/5.02 inference(avatar_split_clause,[],[f36902,f67251])).
% 26.16/5.02 tff(f67251,plain,(
% 26.16/5.02 spl4009_45 <=> real_V2191834092415804123ebra_1(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_45])])).
% 26.16/5.02 tff(f36902,plain,(
% 26.16/5.02 real_V2191834092415804123ebra_1(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9537])).
% 26.16/5.02 tff(f9537,axiom,(
% 26.16/5.02 real_V2191834092415804123ebra_1(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__algebra__1)).
% 26.16/5.02 tff(f67249,plain,(
% 26.16/5.02 spl4009_44),
% 26.16/5.02 inference(avatar_split_clause,[],[f36901,f67246])).
% 26.16/5.02 tff(f67246,plain,(
% 26.16/5.02 spl4009_44 <=> real_V4412858255891104859lgebra(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_44])])).
% 26.16/5.02 tff(f36901,plain,(
% 26.16/5.02 real_V4412858255891104859lgebra(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9515])).
% 26.16/5.02 tff(f9515,axiom,(
% 26.16/5.02 real_V4412858255891104859lgebra(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__normed__algebra)).
% 26.16/5.02 tff(f67244,plain,(
% 26.16/5.02 spl4009_43),
% 26.16/5.02 inference(avatar_split_clause,[],[f36900,f67241])).
% 26.16/5.02 tff(f67241,plain,(
% 26.16/5.02 spl4009_43 <=> real_V4412858255891104859lgebra(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_43])])).
% 26.16/5.02 tff(f36900,plain,(
% 26.16/5.02 real_V4412858255891104859lgebra(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9665])).
% 26.16/5.02 tff(f9665,axiom,(
% 26.16/5.02 real_V4412858255891104859lgebra(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__normed__algebra_374)).
% 26.16/5.02 tff(f67239,plain,(
% 26.16/5.02 spl4009_42),
% 26.16/5.02 inference(avatar_split_clause,[],[f36899,f67236])).
% 26.16/5.02 tff(f67236,plain,(
% 26.16/5.02 spl4009_42 <=> real_V2191834092415804123ebra_1(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_42])])).
% 26.16/5.02 tff(f36899,plain,(
% 26.16/5.02 real_V2191834092415804123ebra_1(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9673])).
% 26.16/5.02 tff(f9673,axiom,(
% 26.16/5.02 real_V2191834092415804123ebra_1(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__algebra__1_382)).
% 26.16/5.02 tff(f67234,plain,(
% 26.16/5.02 spl4009_41),
% 26.16/5.02 inference(avatar_split_clause,[],[f36898,f67231])).
% 26.16/5.02 tff(f67231,plain,(
% 26.16/5.02 spl4009_41 <=> unboun7993243217541854897norder(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_41])])).
% 26.16/5.02 tff(f36898,plain,(
% 26.16/5.02 unboun7993243217541854897norder(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9531])).
% 26.16/5.02 tff(f9531,axiom,(
% 26.16/5.02 unboun7993243217541854897norder(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Ounbounded__dense__linorder_251)).
% 26.16/5.02 tff(f67229,plain,(
% 26.16/5.02 spl4009_40),
% 26.16/5.02 inference(avatar_split_clause,[],[f36897,f67226])).
% 26.16/5.02 tff(f67226,plain,(
% 26.16/5.02 spl4009_40 <=> unboun7993243217541854897norder(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_40])])).
% 26.16/5.02 tff(f36897,plain,(
% 26.16/5.02 unboun7993243217541854897norder(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9371])).
% 26.16/5.02 tff(f9371,axiom,(
% 26.16/5.02 unboun7993243217541854897norder(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Ounbounded__dense__linorder)).
% 26.16/5.02 tff(f67224,plain,(
% 26.16/5.02 spl4009_39),
% 26.16/5.02 inference(avatar_split_clause,[],[f36896,f67221])).
% 26.16/5.02 tff(f67221,plain,(
% 26.16/5.02 spl4009_39 <=> topolo1287966508704411220up_add(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_39])])).
% 26.16/5.02 tff(f36896,plain,(
% 26.16/5.02 topolo1287966508704411220up_add(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9544])).
% 26.16/5.02 tff(f9544,axiom,(
% 26.16/5.02 topolo1287966508704411220up_add(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__ab__group__add)).
% 26.16/5.02 tff(f67219,plain,(
% 26.16/5.02 spl4009_38),
% 26.16/5.02 inference(avatar_split_clause,[],[f36895,f67216])).
% 26.16/5.02 tff(f67216,plain,(
% 26.16/5.02 spl4009_38 <=> topolo1287966508704411220up_add(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_38])])).
% 26.16/5.02 tff(f36895,plain,(
% 26.16/5.02 topolo1287966508704411220up_add(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9679])).
% 26.16/5.02 tff(f9679,axiom,(
% 26.16/5.02 topolo1287966508704411220up_add(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__ab__group__add_388)).
% 26.16/5.02 tff(f67214,plain,(
% 26.16/5.02 spl4009_37),
% 26.16/5.02 inference(avatar_split_clause,[],[f36894,f67211])).
% 26.16/5.02 tff(f67211,plain,(
% 26.16/5.02 spl4009_37 <=> semiring_Gcd(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_37])])).
% 26.16/5.02 tff(f36894,plain,(
% 26.16/5.02 semiring_Gcd(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9343])).
% 26.16/5.02 tff(f9343,axiom,(
% 26.16/5.02 semiring_Gcd(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__Gcd_84)).
% 26.16/5.02 tff(f67209,plain,(
% 26.16/5.02 spl4009_36),
% 26.16/5.02 inference(avatar_split_clause,[],[f36893,f67206])).
% 26.16/5.02 tff(f67206,plain,(
% 26.16/5.02 spl4009_36 <=> topolo3112930676232923870pology(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_36])])).
% 26.16/5.02 tff(f36893,plain,(
% 26.16/5.02 topolo3112930676232923870pology(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9512])).
% 26.16/5.02 tff(f9512,axiom,(
% 26.16/5.02 topolo3112930676232923870pology(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Ofirst__countable__topology)).
% 26.16/5.02 tff(f67204,plain,(
% 26.16/5.02 spl4009_35),
% 26.16/5.02 inference(avatar_split_clause,[],[f36892,f67201])).
% 26.16/5.02 tff(f67201,plain,(
% 26.16/5.02 spl4009_35 <=> archim462609752435547400_field(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_35])])).
% 26.16/5.02 tff(f36892,plain,(
% 26.16/5.02 archim462609752435547400_field(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9528])).
% 26.16/5.02 tff(f9528,axiom,(
% 26.16/5.02 archim462609752435547400_field(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Archimedean__Field_Oarchimedean__field_249)).
% 26.16/5.02 tff(f67199,plain,(
% 26.16/5.02 spl4009_34),
% 26.16/5.02 inference(avatar_split_clause,[],[f36891,f67196])).
% 26.16/5.02 tff(f67196,plain,(
% 26.16/5.02 spl4009_34 <=> semiring_Gcd(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_34])])).
% 26.16/5.02 tff(f36891,plain,(
% 26.16/5.02 semiring_Gcd(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9247])).
% 26.16/5.02 tff(f9247,axiom,(
% 26.16/5.02 semiring_Gcd(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__Gcd)).
% 26.16/5.02 tff(f67194,plain,(
% 26.16/5.02 spl4009_33),
% 26.16/5.02 inference(avatar_split_clause,[],[f36890,f67191])).
% 26.16/5.02 tff(f67191,plain,(
% 26.16/5.02 spl4009_33 <=> archim462609752435547400_field(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_33])])).
% 26.16/5.02 tff(f36890,plain,(
% 26.16/5.02 archim462609752435547400_field(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9369])).
% 26.16/5.02 tff(f9369,axiom,(
% 26.16/5.02 archim462609752435547400_field(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Archimedean__Field_Oarchimedean__field)).
% 26.16/5.02 tff(f67189,plain,(
% 26.16/5.02 spl4009_32),
% 26.16/5.02 inference(avatar_split_clause,[],[f36889,f67186])).
% 26.16/5.02 tff(f67186,plain,(
% 26.16/5.02 spl4009_32 <=> topolo3112930676232923870pology(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_32])])).
% 26.16/5.02 tff(f36889,plain,(
% 26.16/5.02 topolo3112930676232923870pology(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9662])).
% 26.16/5.02 tff(f9662,axiom,(
% 26.16/5.02 topolo3112930676232923870pology(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Ofirst__countable__topology_371)).
% 26.16/5.02 tff(f67184,plain,(
% 26.16/5.02 spl4009_31),
% 26.16/5.02 inference(avatar_split_clause,[],[f36888,f67181])).
% 26.16/5.02 tff(f67181,plain,(
% 26.16/5.02 spl4009_31 <=> topolo1898628316856586783d_mult(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_31])])).
% 26.16/5.02 tff(f36888,plain,(
% 26.16/5.02 topolo1898628316856586783d_mult(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9295])).
% 26.16/5.02 tff(f9295,axiom,(
% 26.16/5.02 topolo1898628316856586783d_mult(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Limits_Otopological__monoid__mult_38)).
% 26.16/5.02 tff(f67179,plain,(
% 26.16/5.02 spl4009_30),
% 26.16/5.02 inference(avatar_split_clause,[],[f36887,f67176])).
% 26.16/5.02 tff(f67176,plain,(
% 26.16/5.02 spl4009_30 <=> topolo1898628316856586783d_mult(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_30])])).
% 26.16/5.02 tff(f36887,plain,(
% 26.16/5.02 topolo1898628316856586783d_mult(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9188])).
% 26.16/5.02 tff(f9188,axiom,(
% 26.16/5.02 topolo1898628316856586783d_mult(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Limits_Otopological__monoid__mult)).
% 26.16/5.02 tff(f67174,plain,(
% 26.16/5.02 spl4009_29),
% 26.16/5.02 inference(avatar_split_clause,[],[f36886,f67171])).
% 26.16/5.02 tff(f67171,plain,(
% 26.16/5.02 spl4009_29 <=> topolo1633459387980952147up_add(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_29])])).
% 26.16/5.02 tff(f36886,plain,(
% 26.16/5.02 topolo1633459387980952147up_add(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9558])).
% 26.16/5.02 tff(f9558,axiom,(
% 26.16/5.02 topolo1633459387980952147up_add(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Limits_Otopological__group__add)).
% 26.16/5.02 tff(f67169,plain,(
% 26.16/5.02 spl4009_28),
% 26.16/5.02 inference(avatar_split_clause,[],[f36885,f67166])).
% 26.16/5.02 tff(f67166,plain,(
% 26.16/5.02 spl4009_28 <=> real_V8037385150606011577_space(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_28])])).
% 26.16/5.02 tff(f36885,plain,(
% 26.16/5.02 real_V8037385150606011577_space(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9538])).
% 26.16/5.02 tff(f9538,axiom,(
% 26.16/5.02 real_V8037385150606011577_space(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ocomplete__space)).
% 26.16/5.02 tff(f67164,plain,(
% 26.16/5.02 spl4009_27),
% 26.16/5.02 inference(avatar_split_clause,[],[f36884,f67161])).
% 26.16/5.02 tff(f67161,plain,(
% 26.16/5.02 spl4009_27 <=> real_V5047593784448816457lgebra(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_27])])).
% 26.16/5.02 tff(f36884,plain,(
% 26.16/5.02 real_V5047593784448816457lgebra(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9527])).
% 26.16/5.02 tff(f9527,axiom,(
% 26.16/5.02 real_V5047593784448816457lgebra(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__div__algebra)).
% 26.16/5.02 tff(f67159,plain,(
% 26.16/5.02 spl4009_26),
% 26.16/5.02 inference(avatar_split_clause,[],[f36883,f67156])).
% 26.16/5.02 tff(f67156,plain,(
% 26.16/5.02 spl4009_26 <=> topolo8386298272705272623_space(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_26])])).
% 26.16/5.02 tff(f36883,plain,(
% 26.16/5.02 topolo8386298272705272623_space(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9540])).
% 26.16/5.02 tff(f9540,axiom,(
% 26.16/5.02 topolo8386298272705272623_space(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Operfect__space)).
% 26.16/5.02 tff(f67154,plain,(
% 26.16/5.02 spl4009_25),
% 26.16/5.02 inference(avatar_split_clause,[],[f36882,f67151])).
% 26.16/5.02 tff(f67151,plain,(
% 26.16/5.02 spl4009_25 <=> real_V7773925162809079976_field(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_25])])).
% 26.16/5.02 tff(f36882,plain,(
% 26.16/5.02 real_V7773925162809079976_field(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9553])).
% 26.16/5.02 tff(f9553,axiom,(
% 26.16/5.02 real_V7773925162809079976_field(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oreal__field)).
% 26.16/5.02 tff(f67149,plain,(
% 26.16/5.02 spl4009_24),
% 26.16/5.02 inference(avatar_split_clause,[],[f36881,f67146])).
% 26.16/5.02 tff(f67146,plain,(
% 26.16/5.02 spl4009_24 <=> ring_parity(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_24])])).
% 26.16/5.02 tff(f36881,plain,(
% 26.16/5.02 ring_parity(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9234])).
% 26.16/5.02 tff(f9234,axiom,(
% 26.16/5.02 ring_parity(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Parity_Oring__parity)).
% 26.16/5.02 tff(f67144,plain,(
% 26.16/5.02 spl4009_23),
% 26.16/5.02 inference(avatar_split_clause,[],[f36880,f67141])).
% 26.16/5.02 tff(f67141,plain,(
% 26.16/5.02 spl4009_23 <=> euclid8789492081693882211th_nat(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_23])])).
% 26.16/5.02 tff(f36880,plain,(
% 26.16/5.02 euclid8789492081693882211th_nat(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9160])).
% 26.16/5.02 tff(f9160,axiom,(
% 26.16/5.02 euclid8789492081693882211th_nat(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Ounique__euclidean__ring__with__nat)).
% 26.16/5.02 tff(f67139,plain,(
% 26.16/5.02 spl4009_22),
% 26.16/5.02 inference(avatar_split_clause,[],[f36879,f67136])).
% 26.16/5.02 tff(f67136,plain,(
% 26.16/5.02 spl4009_22 <=> ring_parity(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_22])])).
% 26.16/5.02 tff(f36879,plain,(
% 26.16/5.02 ring_parity(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9885])).
% 26.16/5.02 tff(f9885,axiom,(
% 26.16/5.02 ring_parity(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Parity_Oring__parity_593)).
% 26.16/5.02 tff(f67134,plain,(
% 26.16/5.02 spl4009_21),
% 26.16/5.02 inference(avatar_split_clause,[],[f36878,f67131])).
% 26.16/5.02 tff(f67131,plain,(
% 26.16/5.02 spl4009_21 <=> euclid8789492081693882211th_nat(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_21])])).
% 26.16/5.02 tff(f36878,plain,(
% 26.16/5.02 euclid8789492081693882211th_nat(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9824])).
% 26.16/5.02 tff(f9824,axiom,(
% 26.16/5.02 euclid8789492081693882211th_nat(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Ounique__euclidean__ring__with__nat_532)).
% 26.16/5.02 tff(f67129,plain,(
% 26.16/5.02 spl4009_20),
% 26.16/5.02 inference(avatar_split_clause,[],[f36877,f67126])).
% 26.16/5.02 tff(f67126,plain,(
% 26.16/5.02 spl4009_20 <=> real_V7773925162809079976_field(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_20])])).
% 26.16/5.02 tff(f36877,plain,(
% 26.16/5.02 real_V7773925162809079976_field(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9683])).
% 26.16/5.02 tff(f9683,axiom,(
% 26.16/5.02 real_V7773925162809079976_field(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__field_392)).
% 26.16/5.02 tff(f67124,plain,(
% 26.16/5.02 spl4009_19),
% 26.16/5.02 inference(avatar_split_clause,[],[f36876,f67121])).
% 26.16/5.02 tff(f67121,plain,(
% 26.16/5.02 spl4009_19 <=> topolo8386298272705272623_space(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_19])])).
% 26.16/5.02 tff(f36876,plain,(
% 26.16/5.02 topolo8386298272705272623_space(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9676])).
% 26.16/5.02 tff(f9676,axiom,(
% 26.16/5.02 topolo8386298272705272623_space(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Topological__Spaces_Operfect__space_385)).
% 26.16/5.02 tff(f67119,plain,(
% 26.16/5.02 spl4009_18),
% 26.16/5.02 inference(avatar_split_clause,[],[f36875,f67116])).
% 26.16/5.02 tff(f67116,plain,(
% 26.16/5.02 spl4009_18 <=> real_V5047593784448816457lgebra(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_18])])).
% 26.16/5.02 tff(f36875,plain,(
% 26.16/5.02 real_V5047593784448816457lgebra(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9669])).
% 26.16/5.02 tff(f9669,axiom,(
% 26.16/5.02 real_V5047593784448816457lgebra(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Oreal__div__algebra_378)).
% 26.16/5.02 tff(f67114,plain,(
% 26.16/5.02 spl4009_17),
% 26.16/5.02 inference(avatar_split_clause,[],[f36874,f67111])).
% 26.16/5.02 tff(f67111,plain,(
% 26.16/5.02 spl4009_17 <=> topolo1633459387980952147up_add(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_17])])).
% 26.16/5.02 tff(f36874,plain,(
% 26.16/5.02 topolo1633459387980952147up_add(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9687])).
% 26.16/5.02 tff(f9687,axiom,(
% 26.16/5.02 topolo1633459387980952147up_add(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Limits_Otopological__group__add_396)).
% 26.16/5.02 tff(f67109,plain,(
% 26.16/5.02 spl4009_16),
% 26.16/5.02 inference(avatar_split_clause,[],[f36873,f67106])).
% 26.16/5.02 tff(f67106,plain,(
% 26.16/5.02 spl4009_16 <=> real_V8037385150606011577_space(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_16])])).
% 26.16/5.02 tff(f36873,plain,(
% 26.16/5.02 real_V8037385150606011577_space(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9674])).
% 26.16/5.02 tff(f9674,axiom,(
% 26.16/5.02 real_V8037385150606011577_space(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ocomplete__space_383)).
% 26.16/5.02 tff(f67104,plain,(
% 26.16/5.02 spl4009_15),
% 26.16/5.02 inference(avatar_split_clause,[],[f36872,f67101])).
% 26.16/5.02 tff(f67101,plain,(
% 26.16/5.02 spl4009_15 <=> semiri6843258321239162965malize(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_15])])).
% 26.16/5.02 tff(f36872,plain,(
% 26.16/5.02 semiri6843258321239162965malize(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9294])).
% 26.16/5.02 tff(f9294,axiom,(
% 26.16/5.02 semiri6843258321239162965malize(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___GCD_Osemiring__gcd__mult__normalize_37)).
% 26.16/5.02 tff(f67099,plain,(
% 26.16/5.02 spl4009_14),
% 26.16/5.02 inference(avatar_split_clause,[],[f36871,f67096])).
% 26.16/5.02 tff(f67096,plain,(
% 26.16/5.02 spl4009_14 <=> real_V768167426530841204y_dist(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_14])])).
% 26.16/5.02 tff(f36871,plain,(
% 26.16/5.02 real_V768167426530841204y_dist(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9530])).
% 26.16/5.02 tff(f9530,axiom,(
% 26.16/5.02 real_V768167426530841204y_dist(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Ouniformity__dist)).
% 26.16/5.02 tff(f67094,plain,(
% 26.16/5.02 spl4009_13),
% 26.16/5.02 inference(avatar_split_clause,[],[f36870,f67091])).
% 26.16/5.02 tff(f67091,plain,(
% 26.16/5.02 spl4009_13 <=> dense_order(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_13])])).
% 26.16/5.02 tff(f36870,plain,(
% 26.16/5.02 dense_order(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9585])).
% 26.16/5.02 tff(f9585,axiom,(
% 26.16/5.02 dense_order(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Orderings_Odense__order_295)).
% 26.16/5.02 tff(f67089,plain,(
% 26.16/5.02 spl4009_12),
% 26.16/5.02 inference(avatar_split_clause,[],[f36869,f67086])).
% 26.16/5.02 tff(f67086,plain,(
% 26.16/5.02 spl4009_12 <=> semiri6843258321239162965malize(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_12])])).
% 26.16/5.02 tff(f36869,plain,(
% 26.16/5.02 semiri6843258321239162965malize(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9187])).
% 26.16/5.02 tff(f9187,axiom,(
% 26.16/5.02 semiri6843258321239162965malize(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Osemiring__gcd__mult__normalize)).
% 26.16/5.02 tff(f67084,plain,(
% 26.16/5.02 spl4009_11),
% 26.16/5.02 inference(avatar_split_clause,[],[f36868,f67081])).
% 26.16/5.02 tff(f67081,plain,(
% 26.16/5.02 spl4009_11 <=> euclid8851590272496341667cancel(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_11])])).
% 26.16/5.02 tff(f36868,plain,(
% 26.16/5.02 euclid8851590272496341667cancel(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9165])).
% 26.16/5.02 tff(f9165,axiom,(
% 26.16/5.02 euclid8851590272496341667cancel(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___Euclidean__Division_Oeuclidean__ring__cancel)).
% 26.16/5.02 tff(f67079,plain,(
% 26.16/5.02 spl4009_10),
% 26.16/5.02 inference(avatar_split_clause,[],[f36867,f67076])).
% 26.16/5.02 tff(f67076,plain,(
% 26.16/5.02 spl4009_10 <=> euclid8851590272496341667cancel(code_integer)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_10])])).
% 26.16/5.02 tff(f36867,plain,(
% 26.16/5.02 euclid8851590272496341667cancel(code_integer)),
% 26.16/5.02 inference(cnf_transformation,[],[f9829])).
% 26.16/5.02 tff(f9829,axiom,(
% 26.16/5.02 euclid8851590272496341667cancel(code_integer)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Code__Numeral_Ointeger___Euclidean__Division_Oeuclidean__ring__cancel_537)).
% 26.16/5.02 tff(f67074,plain,(
% 26.16/5.02 spl4009_9),
% 26.16/5.02 inference(avatar_split_clause,[],[f36866,f67071])).
% 26.16/5.02 tff(f67071,plain,(
% 26.16/5.02 spl4009_9 <=> dense_order(rat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_9])])).
% 26.16/5.02 tff(f36866,plain,(
% 26.16/5.02 dense_order(rat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9410])).
% 26.16/5.02 tff(f9410,axiom,(
% 26.16/5.02 dense_order(rat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Rat_Orat___Orderings_Odense__order)).
% 26.16/5.02 tff(f67069,plain,(
% 26.16/5.02 spl4009_8),
% 26.16/5.02 inference(avatar_split_clause,[],[f36865,f67066])).
% 26.16/5.02 tff(f67066,plain,(
% 26.16/5.02 spl4009_8 <=> real_V768167426530841204y_dist(complex)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_8])])).
% 26.16/5.02 tff(f36865,plain,(
% 26.16/5.02 real_V768167426530841204y_dist(complex)),
% 26.16/5.02 inference(cnf_transformation,[],[f9670])).
% 26.16/5.02 tff(f9670,axiom,(
% 26.16/5.02 real_V768167426530841204y_dist(complex)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Complex_Ocomplex___Real__Vector__Spaces_Ouniformity__dist_379)).
% 26.16/5.02 tff(f67064,plain,(
% 26.16/5.02 spl4009_7),
% 26.16/5.02 inference(avatar_split_clause,[],[f36864,f67061])).
% 26.16/5.02 tff(f36864,plain,(
% 26.16/5.02 real_V5355595471888546746vector(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9516])).
% 26.16/5.02 tff(f9516,axiom,(
% 26.16/5.02 real_V5355595471888546746vector(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Real__Vector__Spaces_Oordered__real__vector)).
% 26.16/5.02 tff(f67059,plain,(
% 26.16/5.02 spl4009_6),
% 26.16/5.02 inference(avatar_split_clause,[],[f36863,f67056])).
% 26.16/5.02 tff(f67056,plain,(
% 26.16/5.02 spl4009_6 <=> ordere1170586879665033532d_diff(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_6])])).
% 26.16/5.02 tff(f36863,plain,(
% 26.16/5.02 ordere1170586879665033532d_diff(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9275])).
% 26.16/5.02 tff(f9275,axiom,(
% 26.16/5.02 ordere1170586879665033532d_diff(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oordered__cancel__comm__monoid__diff)).
% 26.16/5.02 tff(f67054,plain,(
% 26.16/5.02 spl4009_5),
% 26.16/5.02 inference(avatar_split_clause,[],[f36862,f67051])).
% 26.16/5.02 tff(f67051,plain,(
% 26.16/5.02 spl4009_5 <=> ln(real)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_5])])).
% 26.16/5.02 tff(f36862,plain,(
% 26.16/5.02 ln(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9600])).
% 26.16/5.02 tff(f9600,axiom,(
% 26.16/5.02 ln(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Transcendental_Oln)).
% 26.16/5.02 tff(f67049,plain,(
% 26.16/5.02 spl4009_4),
% 26.16/5.02 inference(avatar_split_clause,[],[f36861,f67046])).
% 26.16/5.02 tff(f36861,plain,(
% 26.16/5.02 topolo8458572112393995274pology(real)),
% 26.16/5.02 inference(cnf_transformation,[],[f9511])).
% 26.16/5.02 tff(f9511,axiom,(
% 26.16/5.02 topolo8458572112393995274pology(real)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Topological__Spaces_Olinear__continuum__topology)).
% 26.16/5.02 tff(f67044,plain,(
% 26.16/5.02 spl4009_3),
% 26.16/5.02 inference(avatar_split_clause,[],[f36860,f67041])).
% 26.16/5.02 tff(f67041,plain,(
% 26.16/5.02 spl4009_3 <=> comm_monoid_diff(nat)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_3])])).
% 26.16/5.02 tff(f36860,plain,(
% 26.16/5.02 comm_monoid_diff(nat)),
% 26.16/5.02 inference(cnf_transformation,[],[f9316])).
% 26.16/5.02 tff(f9316,axiom,(
% 26.16/5.02 comm_monoid_diff(nat)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__diff)).
% 26.16/5.02 tff(f67039,plain,(
% 26.16/5.02 spl4009_2),
% 26.16/5.02 inference(avatar_split_clause,[],[f36859,f67036])).
% 26.16/5.02 tff(f67036,plain,(
% 26.16/5.02 spl4009_2 <=> ring_gcd(int)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_2])])).
% 26.16/5.02 tff(f36859,plain,(
% 26.16/5.02 ring_gcd(int)),
% 26.16/5.02 inference(cnf_transformation,[],[f9256])).
% 26.16/5.02 tff(f9256,axiom,(
% 26.16/5.02 ring_gcd(int)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Int_Oint___GCD_Oring__gcd)).
% 26.16/5.02 tff(f67034,plain,(
% 26.16/5.02 ~spl4009_1),
% 26.16/5.02 inference(avatar_split_clause,[],[f36858,f67031])).
% 26.16/5.02 tff(f67031,plain,(
% 26.16/5.02 spl4009_1 <=> pp(fFalse)),
% 26.16/5.02 introduced(avatar_definition,[new_symbols(naming,[spl4009_1])])).
% 26.16/5.02 tff(f36858,plain,(
% 26.16/5.02 ~pp(fFalse)),
% 26.16/5.02 inference(cnf_transformation,[],[f9928])).
% 26.16/5.02 tff(f9928,axiom,(
% 26.16/5.02 ~pp(fFalse)),
% 26.16/5.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U)).
% 26.16/5.02 % SZS output end Proof for theBenchmark
% 26.16/5.02 % (18351)------------------------------
% 26.16/5.02 % (18351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 26.16/5.02 % (18351)Termination reason: Refutation
% 26.16/5.02
% 26.16/5.02 % (18351)Memory used [KB]: 53810
% 26.16/5.02 % (18351)Time elapsed: 3.557 s
% 26.16/5.02 % (18351)Instructions burned: 9153 (million)
% 26.16/5.02 % (17947)Success in time 4.648 s
%------------------------------------------------------------------------------